Answer:
x = - 14, x = - 4
Step-by-step explanation:
Given
(x + 9)² = 25 ( take the square root of both sides )
x + 9 = ± [tex]\sqrt{25}[/tex] = ± 5
Subtract 9 from both sides
x = - 9 ± 5, that is
x = - 9 - 5 = - 14 or x = - 9 + 5 = - 4
How do you divide (m^(3)- 13m^(2)+24m+18)div(m-3) using synthetic division step by step?
Answer:
The quotient is: m^2-10m-6
The remainder is: 0
Step-by-step explanation:
We need to divide m^3-13m^2+24m+18 ÷ m-3 using synthetic division
The division is shown in the figure below.
The quotient is: m^2-10m-6
The remainder is: 0
Re-write the equation 3x - y = 4 in slope-intercept form.
a. y = 3x -4
b. y = 3x + 4
C. y=-3x
D. y=-3x+4
Answer:
a
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Rearrange 3x - y = 4 into this form ( add y to both sides )
3x = y + 4 ( subtract 4 from both sides )
3x - 4 = y OR y = 3x - 4 → a
Final answer:
The equation 3x - y = 4 is rewritten in slope-intercept form as y = 3x - 4, where the slope is 3 and the y-intercept is -4, corresponding to answer option A.
Explanation:
To rewrite the equation 3x - y = 4 in slope-intercept form (y = mx + b), we need to solve the equation for y.
Here are the steps:
Add y to both sides of the equation: 3x = y + 4.
Subtract 4 from both sides of the equation: y = 3x - 4.
Therefore, the equation in slope-intercept form is y = 3x - 4. This represents a line with a slope of 3 and a y-intercept of -4. So the correct answer is option A: y = 3x - 4.
Create a function rule for the following: x 0 3 6 f(x) -5 -3 -1
Answer:
The function rule is y = (2/3)x - 5.
Step-by-step explanation:
Let's assume for now that the function is a linear one. Then y = mx + b.
As we move from (0, -5) to (3, -3), x increases by 3 and y increases by 2.
Thus, the slope of this line is m = rise / run = 2/3.
Then our y = mx + b becomes y = (2/3)x + b, or -5 = (2/3)(0) + b.
Thus, b = -5, and the equation is y = (2/3)x - 5.
Now let's check this result. When x = 6, does the equation predict y = -1?
y = (2/3)(6) - 5 = 4 - 5 = -1. YES
The function rule is y = (2/3)x - 5.
Big Bob’s Pizza is having a special on pizza and is offering two different choices: Choice #1: One slice of pizza from a pizza with a 22 inch diameter and is cut into 8 slices. The cost is $4.95. Choice #2: An entire personal-size pizza that has a diameter of 6 inches. The cost is $3.75. Which choice will give you more pizza for your money? Justify your answer using numbers and words.
Choice #1 is better
Step-by-step explanation:To find the solution to this problem, we have to compute the are in each case, and divide each value by the corresponding cost in order to find the cost per square. The lower the cost, the better the offer because it will give you more pizza for your money Thus:
CHOICE 1:
Here the offer of Big Bob’s Pizza gives one slice of pizza from a pizza with a 22 inches diameter (then the radius is 11 inches) and is cut into 8 slices, so the area for the first entire pizza is:
[tex]A_{1}=\pi r^2=\pi(11)^2 \\ \\ A_{1}=121 \pi in^2[/tex]
Each slice has an area of:
[tex]A_{slice}=\frac{121 \pi}{8} \\ \\ A_{slice}=47.51in^2[/tex]
Finally, the cost per square inch is:
[tex]C=\frac{4.95\$}{47.51in^2}=0.10\$[/tex]
CHOICE 2:
Here the offer of Big Bob’s Pizza gives: An entire personal-size pizza that has a diameter of 6 inches (then the radius is 3 inches), so the area for the entire pizza is:
[tex]A_{2}=\pi r^2=\pi(3)^2 \\ \\ A_{2}=28.27 in^2[/tex]
Finally, the cost per square inch is:
[tex]C=\frac{3.75\$}{28.27in^2}=0.13\$[/tex]
CONCLUSION: Choice #1 gives you more pizza for your money because the cost per square inch is less than the other option.
The special at Big Bob's Pizza which will give you more pizza for your money is Choice #1. Per square inch, Choice #1 will cost less and give more overall pizza at $0.10 a square inch then Choice #2 at $0.13 per square inch. You can find more pizza for your money, by using the area formula for a circle for each pizza and finding the price per square inch of each serving. This is called a unit rate and is the cost per unit.
Further Explanationa. Find the radius of each pizza.
Since a pizza is a circle shape, it has a diameter and radius. The diameter is the distance across the pizza and the radius is half the diameter. We use the radius to find the area.
Choice #1: One slice of a pizza with a 22 inch diameter and is cut into 8 slices. Since the diameter is the distance across the pizza, 22 inch diameter means the pizza is 22 inches wide. The area formula uses the radius or half the diameter. The radius of choice #1 is 11 inches.Choice #2: An entire personal-size pizza that has a diameter of 6 inches. Here the radius is half of 6 inches. The radius of choice #2 is 3 inches.b. Find the area of each pizza using [tex]A = \pi r^{2}[/tex].
Choice #1: Substitute r = 11 into the formula then divide by 8 to find the area of one slice or serving.[tex]A = \pi r^{2} \\A = \pi (11)^{2} \\A = 121\pi \\A= 379.94[/tex]
The area of one slice is [tex]\frac{379.94}{8} = 47.49.[/tex]
Choice #2: Substitute r = 3 into the formula. This is a personal pizza so the entire pizza is a serving.[tex]A = \pi r^{2} \\A = \pi (3)^{2} \\A = 9\pi \\A= 28.26[/tex]
c. Divide each area by the price.
The cost of Choice #1 is $4.95. Since the serving size is 1 slice, use the area of the slice 47.49. Divide it into the price to find the cost per square inch of one serving.[tex]\frac{4.95}{47.49} = 0.10[/tex]
The cost of Choice#2 is $ 3.75. Since the serving serving size is the entire personal pizza, use the area of the pizza 28.26.[tex]\frac{3.75}{28.26} = 0.13[/tex]
Learn More Area and Circumference of a Circle Application: https://brainly.com/question/3519879 Cost per unit: https://brainly.com/question/11521316Answer DetailsGrade: 8th Grade
Subject: Geometry
Chapter: Applications for Area of Shapes
Keywords: circle, area, radius, diameter, cost, unit rate
Read more on Brainly.com - https://brainly.com/question/12878495
How do you: Find the 4th term of (x-2y)^6
To find the 4th term of (x-2y)^6, you can use the binomial expansion formula. The 4th term is 240x^2y^4.
To find the 4th term of (x-2y)^6, we can use the binomial expansion formula. The formula is: (a+b)^n = nC0 * a^n * b^0 + nC1 * a^(n-1) * b^1 + nC2 * a^(n-2) * b^2 + ... + nC(n-1) * a^1 * b^(n-1) + nCn * a^0 * b^nIn this case, a = x, b = -2y, and n = 6. So we have: (x-2y)^6 = 6C0 * x^6 * (-2y)^0 + 6C1 * x^5 * (-2y)^1 + 6C2 * x^4 * (-2y)^2 + 6C3 * x^3 * (-2y)^3 + 6C4 * x^2 * (-2y)^4 + 6C5 * x^1 * (-2y)^5 + 6C6 * x^0 * (-2y)^6To find the 4th term, we need to find the term with the exponent of x^2 * (-2y)^4. This occurs when nCr = 6C4. Using the formula, we have: 6C4 = 6! / (4! * 2!) = 15Therefore, the 4th term of (x-2y)^6 is 15 * x^2 * (-2y)^4, which simplifies to 15x^2 * 16y^4 = 240x^2y^4.
To find the 4th term of (x - 2y)^6, we can use the binomial expansion formula.
Explanation:To find the 4th term of (x - 2y)^6, we can use the binomial expansion formula.
The formula is: (a + b)^n = nC0 * a^n * b^0 + nC1 * a^(n-1) * b^1 + nC2 * a^(n-2) * b^2 + ... + nCn * a^0 * b^n
Where nCk represents the binomial coefficient, which can be calculated as n! / (k! * (n-k)!)
In this case, a = x and b = -2y.
The exponents will go from 6 down to 0, and we need to find the term with k = 4.
Let's substitute these values into the formula:
(x - 2y)^6 = 6C0 * x^6 * (-2y)^0 + 6C1 * x^5 * (-2y)^1 + 6C2 * x^4 * (-2y)^2 + 6C3 * x^3 * (-2y)^3 + 6C4 * x^2 * (-2y)^4 + 6C5 * x^1 * (-2y)^5 + 6C6 * x^0 * (-2y)^6
To find the 4th term, we look at the term with k = 4. Using the binomial coefficient:
6C4 = 6! / (4! * (6-4)!)
= 15
Substituting this back into the formula, we get:
15 * x^2 * (-2y)^4
what is the circumference of the pie
Answer:
34.54
Step-by-step explanation:
C= 2pir
11/2= 5.5
5.5* pi=17.27
17.27*2=34.54
Answer:
The circumference of the circle is [tex]\pi * 11[/tex] inches, which is about [tex]34.54[/tex] inches.
Step-by-step explanation:
The circumference of a circle when you only have the diameter ([tex]11[/tex] inches in this case) can be calculated with the formula [tex]C=\pi d[/tex] where [tex]C[/tex] represents the circumference and [tex]d[/tex] represents the diameter.
Plug in the value for the diameter, which is [tex]11[/tex] inches, to get [tex]C=\pi * 11[/tex].
[tex]\pi * 11[/tex] inches is the final exact answer, but you can estimate the answer by replacing [tex]\pi[/tex] with [tex]3.14[/tex] to get [tex]C=3.14 * 11[/tex].
This can be simplified to get [tex]C=34.54[/tex], but this is only an estimate.
Find the area of a parallelogram PGRM with vertices at (0,0) (6,0) (2,4) and (8,4)
Answer:
[tex]A=24\ un^2.[/tex]
Step-by-step explanation:
Plot points A(0,0), B(6,0), C(2,4) and D(8,4) on the coordinate plane (see attached diagram). The segment CE is the height of the parallelogram ABDC.
The area of the parallelogram is
[tex]A=\text{Base}\cdot \text{Height}[/tex]
Base= AB
Height =CE
So,
[tex]AB=\sqrt{(6-0)^2+(0-0)^2}=\sqrt{36+0}=\sqrt{36}=6\\ \\CE=\sqrt{(2-2)^2+(4-0)^2}=\sqrt{0+16}=\sqrt{16}=4[/tex]
Hence, the area of the parallelogram is
I'll tell you how to do it for any polygon in the cartesian plane with the vertices listed in order.
First we have to list the vertices in order so each pair is a side:
(0,0) (6,0) (8,4) (2,4)
Now for each side (a,b)(c,d) we calculate the cross product ad-bc
(0,0)(6,0) 0(0)-0(6)=0
(6,0)(8,4) 6(4)-0(8)=24
(8,4)(2,4) 8(4)-4(2) = 24
(2,4)(0,0) 2(0)-4(0)=0
We add up the cross products, and take half the absolute value of the sum for the area:
Area = (1/2) | 0 + 24 + 24 + 0 | = 24
Answer: 24
PLEASE HELP!! WILL MARK BRAINLIEST is y=x^2-3 linear
Answer:
A linear function is in the form y = mx + b or f(x) = mx + b, where m is the slope or rate of change and b is the y-intercept or where the graph of the line crosses the y axis. ... if your first diffs are the same it is linear. if not it is not linear.
a LINEar equation is an equation with a polynomial of degree 1 and is the graph of a LINE, let's look at this one, y = x² - 3, notice the exponent of ², meaning is a 2nd degree equation, and is a parabola, so is namely a quadratic, not a linear one.
Which of the following best describes the algebraic expression x/3 -15
Answer:
A. A number divided by three minus fifteen.
A number is divided by three minus fifteen best describes the given algebraic expression [tex]\frac{x}{3}-15[/tex].
Option A is correct.
What is an algebraic expression?An algebraic expression is a variable expression described using its terms, and operations on the terms. For example, x + 3 can be described as "3 more than x".
Given algebraic expression
[tex]\frac{x}{3}-15[/tex]
[tex]\frac{x}{3}[/tex] means a number is divided by three and [tex]\frac{x}{3}-15[/tex] means a number is divided by three minus fifteen.
A number is divided by three minus fifteen best describes the given algebraic expression [tex]\frac{x}{3}-15[/tex].
Option A is correct.
Find out more information about algebraic expression here
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A pencil bag contains 20 red pencils. 12 pencils, and 10 green pencil, Carrie randomly selects a red pencil followed by a green pencil without replacement.
What is the probability that Carrie selects a red pencil followed by a green pencil?
Write the answer as a percent rounded to the nearest tenth of a percent.
Answer:
11.6%
Step-by-step explanation:
On the first selection, there are 20 red pencils out of 42 total pencils.
On the second selection, there are 10 green pencils out of 41 pencils left over.
So the probability is:
(20/42) (10/41)
100/861
≈11.6%
Find the derivative of y=e^-4x
Answer:
[tex]\displaystyle y' = -4e^{-4x}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = e^{-4x}[/tex]
Step 2: Differentiate
Exponential Differentiation [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = e^{-4x}(-4x)'[/tex]Basic Power Rule [Derivative Property - Multiplied Constant]: [tex]\displaystyle y' = -4e^{-4x}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
The derivative of y = e^-4x is -4e^-4x.
Explanation:To find the derivative of y = e-4x, we can use the power rule for derivatives. The power rule states that if we have a function of the form y = axb, then the derivative is given by dy/dx = abxb-1. Applying this rule to the given function, we have dy/dx = -4e-4x. Therefore, the derivative of y = e-4x is -4e-4x.
The graph of a function f(x)=(x+2)(x-4). Which describes all of the values for which the graph is negative and increasing?
all real values of x where x<-2
all real values of x where -2
Answer:
1. (2, -9)
2. ( 0,-5)
What is the volume of a rectangular prism that has a length of 9 feet, a width of 5 feet, and a height of 7.5 feet? 300 ft3 150 ft3 337.5 ft3 43 ft3
Answer:
The answer is 337.5.
Step-by-step explanation:
Srry Im late. :(
Answer: C. 337.5
Hope this helps!
Which value represents |-100|?
A. -100
B. -10
C. 0
D. 100
Answer:
D. :)
Step-by-step explanation:
Solve 2(1 – x) > 2x.
First you must distribute the 2 to the numbers inside the parentheses, which would be 1 and -x...
(2 * 1) + (2 * -x) > 2x
2 + (-2x) > 2x
2 - 2x >2x
Add 2x to both sides (what you do on one side you must do to the other). Since 2x is being subtracted, addition (the opposite of subtraction) will cancel it out (make it zero) from the left side and bring it over to the right side.
2 - 2x + 2x > 2x + 2x
2 + 0 > 4x
2 > 4x
Next divide 4 to both sides to finish isolating x. Since 4 is being multiplied by x, division (the opposite of multiplication) will cancel 4 out (in this case it will make 4 one) from the right side and bring it over to the left side.
2/4 > 4x / 4
1/2 > x
or
x < 1/2
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
x<1/2
Step-by-step explanation:
Expand.
↓
2(1-x)=2-2x
2-2x>2x
First, subtract by 2 from both sides of equation.
2-2x-2>2x-2
Simplify.
-2x>2x-2
Then subtract by 2x from both sides of equation.
-2x-2x>2x-2-2x
Simplify.
-4x>-2
Multiply by -1 from both sides of equation.
(-4)(-1)<(-2)(-1)
Simplify.
4x<2
Divide by 4 from both sides of equation.
4x/4<2/4
Simplify, to find the answer.
2/4=1/2
X<1/2 is the correct answer.
Make a conjecture about the next item in the sequence.
1, 4, 16, 64, 256
Select one:
a. 1024
b. 1025
c. 4096
d. 1022
Answer:
Option A is correct.
Step-by-step explanation:
Given terms,
1 , 4 , 16 , 64 , 256.
If we observe the equation, we can easily say that the terms are getting multiplied by 4 to get the next one.
Since this equation has a common ratio, this can be solved by using the properties of geometric progressions.
From the properties of geometric progressions :
nth term = a r^( n - 1 ) , where a is the first term, r is the common ratio between the terms and n is the number of terms.Here,
Common Ratio ( or r ) = any term( except first ) / previous terms = 64 / 16 = 16 / 4 = 4
First terms = 1
Therefore,
= > Next term should be : 1 x ( 4 )^( 6 - 1 ) { Since next term will be 6th term }
= > Next term = 1 x 4^5
= > Next term = 1024
Hence the required next term is 1024.
Option A is correct.
Or
Here we can see that the terms are written in the form of 4^n where n is any whole number.
Since 246 is 4^4 , and terms are increasing in order of 1, next term should be 4^5 i.e. 1024 .
Thus, option A is correct.
Answer:
A
Step-by-step explanation: you times each one by 4
Can someone please help me out ?
Answer:
b = 14 unitsStep-by-step explanation:
The formula of an area of a parallelogram:
A = bh
b - base
h - height
We have A = 140 units², and h = 10 units. Substitute:
140 = 10b divide both sides by 10
14 = b → b = 14 units
Help! What is the equation on the graph. I have tried x^2+1 and it marks it incorrect
Answer:
[tex]y=2x^{2}+1[/tex]
Step-by-step explanation:
we know that
The graph is a vertical parabola open upward
The vertex is the point (0,1)
The equation of a vertical parabola in vertex form is equal to
[tex]y=a(x-h)^{2}+k[/tex]
substitute the vertex in the equation
[tex]y=a(x-0)^{2}+1[/tex]
[tex]y=a(x)^{2}+1[/tex]
Find the value of coefficient a
Observing the graph
For x=1, y=3
substitute in the equation
[tex]3=a(1)^{2}+1[/tex]
[tex]a=3-1=2[/tex]
The equation on the graph is equal to
[tex]y=2x^{2}+1[/tex]
What is the range of P=3,000(1/1,000)
Answer:
p = 3
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
p-(3000*(1/1000))=0
Step by step solution :
Step 1 :
1
Simplify ————
1000
Equation at the end of step 1 :
1
p - (3000 • ————) = 0
1000
Step 2 :
Equation at the end of step 2 :
p - 3 = 0
Step 3 :
Solving a Single Variable Equation :
3.1 Solve : p-3 = 0
Add 3 to both sides of the equation :
p = 3
Please mark brainliest and have a great day!
Question 14 (1 point)
Larry deposits $15 a week into a savings account. His balance in his savings account grows by
a constant percent rate.
Answer:
Step-by-step explanation:
I don't think it really does grow by a constant rate. As he puts money in, the amount he puts in becomes less significant to the total.
Suppose he starts at 100 dollars.
After week one, he puts in 100 + 15 = 115 dollars.
The 15 dollars represents an increase of 15/100
After the second week, he puts in another 15 dollars. He has 115 in there already.
(15/115) * 100% = 13.04%
After the third week, he puts in another 15 dollars. (15/130 ) * 100% = 11.53
And so one
Select the correct answer from each drop-down menu.
The length of a rectangle is 5 inches more than its width. The area of the rectangle is 50 square inches.
The quadratic equation that represents this situation is
The length of the rectangle is
inches.
Answer:
Part 1) The quadratic equation is [tex]x^{2}-5x-50=0[/tex]
Part 2) The length of rectangle is 10 in and the width is 5 in
Step-by-step explanation:
Part 1)
Find the quadratic equation
Let
x -----> the length of rectangle
y ----> the width of rectangle
we know that
The area of rectangle is equal to
[tex]A=xy[/tex]
[tex]A=50\ in^{2}[/tex]
so
[tex]50=xy[/tex] -----> equation A
[tex]x=y+5[/tex]
[tex]y=x-5[/tex] -----> equation B
substitute equation B in equation A
[tex]50=x(x-5)\\50=x^{2} -5x\\ x^{2}-5x-50=0[/tex]
Part 2) Find the length of the rectangle
[tex]x^{2}-5x-50=0[/tex]
Solve the quadratic equation by graphing
The solution is [tex]x=10\ in[/tex]
see the attached figure
Find the value of y
[tex]y=10-5=5\ in[/tex]
therefore
The length of rectangle is 10 in and the width is 5 in
Answer:
Quadratic equation: [tex]x^{2} +5x-50=0[/tex]
Length of the rectangle: 10 inches.
Step-by-step explanation:
In order to solve this you just have to factorize the equation to solve the different values for X:
[tex]x^{2} +5x-50=0\\(x+10)(x-5)=0[/tex]
So the only possible answer for the problem would be 5, so if the width is equal to X and the length is x+5 then the length of the rectangle would be 5+5 and that would be 10.
What is the area of a regular hexagon if a side is 30
[tex]1350\sqrt{3}[/tex] square units (approximately 2338.26859)
Step-by-step explanation:The formula for finding the area of a regular hexagon when you know its side length is [tex]A=\frac{3\sqrt{3}*s^2}{2}[/tex], where [tex]A[/tex] is the area and [tex]s[/tex] is the side length.
Substitute in the side length. [tex]A=\frac{3\sqrt{3}*30^2}{2}[/tex]Simplify the exponent. [tex]A=\frac{3\sqrt{3}*900}{2}[/tex]Multiply. [tex]A=\frac{2700\sqrt{3}}{2}[/tex]Divide. [tex]A=1350\sqrt{3}[/tex][tex]1350\sqrt{3}[/tex] is as simple as the solution can get without estimating, but you can estimate with a calculator to find that it is approximately 2338.26859.
If y varies inversely as x, find the constant of variation if y = 2 as x = -9.
Answer:
Constant of variation (k) = -18
Step-by-step explanation:
We are given that y varies inversely as x and we are to find the constant of variation (lets assume its [tex] k [/tex] if [tex] y = 2 [/tex] and [tex] x = - 9 [/tex].
[tex] y [/tex] ∝ [tex] \frac { 1 } { x } [/tex]
Changing this inverse proportionality to equality to get:
[tex] y = \frac { k } { x } [/tex]
Substituting the given values:
[tex] 2 = \frac { k } { -9 } [/tex]
[tex]k=-9 \times 2[/tex]
k = -18
there are 8 finalist in the spelling bee. The order of the contestants will be determined by a random draw. How many different orders are possible for the spelling bee?
Answer: Option C
(C ) 96
Step-by-step explanation:
The correct answer would be C, which is 96.
You're Welcome!
F(x)=3.7-2x
g(x)=0.25x-5
what is f(x) +g(x)
Pls help
Answer:
f(x) +g(x) = -1.3 - 1.75x
Step-by-step explanation:
f(x) +g(x) is simply obtained by adding the two given functions, f(x) and g(x). We are given that;
F(x)= 3.7-2x and g(x)= 0.25x-5
f(x) +g(x) = 3.7-2x + (0.25x-5)
f(x) +g(x) = 3.7 -5 + 0.25x - 2x
f(x) +g(x) = -1.3 - 1.75x
For this case we have the following functions:
[tex]f (x) = 3.7-2x\\g (x) = 0.25x-5[/tex]
We must find[tex]f (x) + g (x):[/tex]
We have to:
[tex]f (x) + g (x) = 3.7-2x + (0.25x-5)\\f (x) + g (x) = 3.7-2x + 0.25x-5[/tex]
We add similar terms:
[tex]f (x) + g (x) = - 1.75x-1.3[/tex]
Thus, the result is:[tex]-1.75x-1.3[/tex]
Answer:
[tex]-1.75x-1.3[/tex]
Grandpa Ernie is shrinking! Over the past 4 years his height decreased by a total of 2.4 cm.It decreased by the same amount each year. What was the change in Grandpa Ernie's height each year
Answer:
He shrunk .6 cm each year
Step-by-step explanation:
To find the decrease per year, we take the total decrease and divide by the number of years
2.4 cm/ 4 years
.6 cm/ year
He shrunk .6 cm each year
Solve for y.
y – (–19) = 25
A.
–44
B.
–6
C.
6
D.
44
Answer:
C
Step-by-step explanation:
note that - (- 19) = + 19
Given
y - (- 19) = 25, that is
y + 19 = 25 ( subtract 19 from both sides )
y = 6 → C
Answer:
Answer is C. 6
Step-by-step explanation:
Because:
y -(-19) = 25 (well i always put a 1 infront of parenthesis) so,
y -1(-19) =25 distribute the 1 in the parenthesis and you would get
19=25 minus 19 on both sides and you get y= 6
Hope my answer has helped you!
Teagan believes she can use a division expression to find the amount of pizza each of 6 friends will eat if they share 4/5 of a pizza. Which statement best explains why Teagan is correct or incorrect?
Answer: sorry i meant 7.5 would be incorrect
Step-by-step explanation: she wouldn't be able to do it if it goes over 6 so that is incorrect
Answer:
Teagan is correct.
Step-by-step explanation:
We are given the following information in the question:
Number of friends = 6
Pizza eaten by all friends = [tex]\frac{4}{5}[/tex]
Now, in order to find pizza eaten by each friend, Teagan need to divide pizza eaten by total number of friends.
Formula:
[tex]\text{Pizza eaten by each friend} = \displaystyle\frac{\text{Total pizza eaten}}{\text{Number of friends sharing the pizza}}\\\\= \displaystyle\frac{\frac{4}{5}}{6} = \displasystyle\frac{4}{30} = \displaystyle\frac{2}{15}[/tex]
Thus, each friend had [tex]\frac{2}{15}[/tex] of a pizza.
A video game system and several games are sold for $700. The cost of the games is three times as much as cost of the system. Find cost of the system and cost of the games
Answer:
cost of system is $175 and cost of the games is $525
Step-by-step explanation:
Let us take the cost of the system to be X.The games cost 3 times as much as the system and are therefore given 3X. The total cost of the system and the games is $700.Therefore,we form the equation 3X+X=$700.Meaning that 4X=$700 and X is equal to $175.The cost of the system is X therefore it is $175 and the cost of the games is 3X and is therefore $525.
The cost of the video game system is $175, while the cost of the games is $525,.
The student is asking to find the cost of a video game system and the games sold with it, given that the total cost is $700 and that the cost of the games is three times as much as the cost of the system.
Let's define the cost of the system as 'x'.
The cost of the games would then be '3x'.
The total cost is given as $700, so we can write the equation as:
x + 3x = 700
Combining like terms, we get:
4x = 700
x = 700 / 4
x = $175
So, the cost of the system is $175,
and the cost of the games is three times that, which is:
3 × $175 = $525
Enter the amplitude of the function. f(x)=3cosx
Answer:
amplitude = 3
Step-by-step explanation:
given a cosine function in standard form, that is
y = acosx, then
amplitude = | a |
Hence for f(x) = 3cosx, amplitude = | 3 | = 3
Final answer:
The amplitude of the function f(x) = 3cosx is 3, as the amplitude is the coefficient in front of the cosine function.
Explanation:
The amplitude of a trigonometric function like f(x) = 3cosx can be found by looking at the coefficient in front of the cosine function. In this case, the function f(x) = 3cosx has an amplitude of 3. This is because the amplitude of cosx or sinx is the absolute value of the coefficient multiplied by the cosine or sine function, which dictates how much the wave's peak or valley deviates from the center line of the graph. For example, if the function was f(x) = A cosx, the amplitude would be the absolute value of A. Since there is no negative sign or other function manipulating the 3 in f(x) = 3cosx, the amplitude is simply 3.