Five solutions of y = 20x with integer values for x ranging from -2 to 2 are (-2, -40), (-1, -20), (0, 0), (1, 20), and (2, 40).
To find five solutions of the equation y = 20x , we can choose integer values for x starting with -2 and ending with 2, and then calculate the corresponding values of y using the given equation.
Starting with x = -2 :
y = 20(-2) = -40
So, the first solution is (-2, -40).
Moving to x = -1:
y = 20(-1) = -20
So, the second solution is (-1, -20).
At x = 0 :
y = 20(0) = 0
So, the third solution is (0, 0).
Proceeding to x = 1 :
y = 20(1) = 20
So, the fourth solution is (1, 20).
Finally, for x = 2 :
y = 20(2) = 40
So, the fifth solution is (2, 40).
Therefore, the five solutions of the equation y = 20x with integer values for x ranging from -2 to 2 are:
(-2, -40), (-1, -20), (0, 0), (1, 20), and (2, 40).
Please help. This is a math vocabulary crossword puzzle
Answer: i cant read that m8 take a better picture
Step-by-step explanation:
The factored form of polynomial P(x) shows only two of its roots. Assuming all of the
coefficients in the expanded form of P(x) are real, select each number that could be a
missing root of p(x)
Answer:
C and E
Step-by-step explanation:
Recall that according to the complex conjugate theorem, if P(x) is a polynomial function with real coefficients, and a+bi is an imaginary root of P(x), then its conjugate (i.e a-bi) must also be a root.
Here we see that 2 of the given roots are imaginary : i and 2+i
by the theorem given above, the conjugates of these must also be roots
i.e -i and 2-i
Which relationship in the triangle must be true ?
Answer:
Choice B. sin(B)=cos(90-B)
Step-by-step explanation:
That cofunction identity is the one you looking for...choice B.
If you aren't convinced or don't know that identity, then maybe this will help:
90-B is actually the same thing as saying A for this right triangle since A+B=90.
So choice B basically says sin(B)=cos(A)
Well let's find both sin(B) and cos(A)
sin(B)=b/c
cos(A)=b/c
Those are the same ratios!
So they are equal!
Answer:
option B
Step-by-step explanation:
from the given options
a) sin (B) = sin (A)
b) sin (B ) = cos (90° - B)
cos (90° - B ) = Sin B
c) cos (B ) = sin(180° - B)
sin(180° - B) = sin (B)
d) cos (B) = cos(A)
so, we can clearly see from the above solution that option B is correct.
As 90° - B is in first quadrant and in first quadrant sign of cos dose not change and 90 is multiple of odd so 'cos' changes to 'sin'
Usted tiene ________ clases de ciencias en la tarde.
a) una
b) un
c) unos
d) unas
\sum _{n=1}^{\infty }−4\left(\frac{−1}{2}\right)^{n-1}
Answer: [tex]\bold{-\dfrac{8}{3}}[/tex]
Step-by-step explanation:
[tex]\sum \limits_{n=1}^{\infty}-4\bigg(\dfrac{-1}{2}\bigg)^{n-1}\implies a_1=-4, r=-\dfrac{1}{2}\\\\\\\text{Use the formula for the sum of an infinite geometric series:}\\S=\dfrac{a_1}{1-r}\\\\\\.\ =\dfrac{-4}{1-(-\frac{1}{2})}\\\\\\.\ =\dfrac{-4}{\frac{3}{2}}\\\\\\.\ =-4\times \dfrac{2}{3}\\\\\\.\ =\large\boxed{-\dfrac{8}{3}}[/tex]
Solve the following equation for x: 5x + 3y = 15.
A.x = negative three fifthsy − 3
B.x = negative three fifthsy + 3
C.x = three fifthsy + 3
D.x = three fifthsy − 3
Answer:
B
Step-by-step explanation:
5x + 3y = 15
5x = -3y +15
x = -3/5y +3
Answer:
The correct option is B) x = negative three fifths y + 3
Step-by-step explanation:
Consider the provided equation.
5x + 3y = 15
We need to solve the above equation for x.
Subtract both the side by 3y.
[tex]5x + 3y-3y = 15-3y[/tex]
[tex]5x= 15-3y[/tex]
To find the value of y, isolate the variable y:
Divide both the sides by 5.
[tex]\frac{5x}{5}= \frac{15}{5}-\frac{3y}{5}[/tex]
[tex]x= 3-\frac{3y}{5}[/tex]
[tex]x= -\frac{3y}{5}+3[/tex]
Hence, the correct option is B) x = negative three fifths y + 3
name the property. 2(xy)=(2x)y
Answer:
associative property of multiplication
Step-by-step explanation:
If we have 3 numbers x, y and z the associative property of multiplication says that:
[tex]x (yz) = z (xy) = (xz)y[/tex]
This means that the result will be the same regardless of the order in which the multiplication takes place.
In this case we have the following equality
[tex]2(xy) = (2x)y[/tex]
Note that the property used is the associative property of multiplication
Solve this rational equation
Answer:
x = -1Step-by-step explanation:
[tex]\text{Domain:}\\\\x-4\neq0\ \wedge\ x-2\neq0\ \wedge\ x^2-6x+8\neq0\\\\x\neq4\ \wedge\ x\neq2\ \wedge\ x^2-4x-2x+8\neq0\\\\x\neq4\ \wedge\ x\neq2\ \wedge\ x(x-4)-2(x-4)\neq0\\\\x\neq4\ \wedge\ x\neq2\ \wedge\ (x-4)(x-2)\neq0\\\\x\neq4\ \wedge\ x\neq2\ \wedge\ x-4\neq0\ \wedge\ x-2\neq0\\\\\boxed{D:x\neq4\ \wedge\ x\neq2}[/tex]
[tex]\dfrac{1}{x-4}+\dfrac{x}{x-2}=\dfrac{2}{x^2-6x+8}\\\\\dfrac{1(x-2)}{(x-4)(x-2)}+\dfrac{x(x-4)}{(x-4)(x-2)}=\dfrac{2}{(x-4)(x-2)}\\\\\dfrac{x-2+x(x-4)}{(x-4)(x-2)}=\dfrac{2}{(x-4)(x-2)}\iff x-2+x(x-4)=2\\\\x-2+(x)(x)+(x)(-4)=2\\\\x-2+x^2-4x=2\qquad\text{subtract 2 from both sides}\\\\x^2-3x-4=0\\\\x^2-4x+x-4=0\\\\x(x-4)+1(x-4)=0\\\\(x-4)(x+1)=0\iff x-4=0\ \wedge\ x+1=0\\\\x-4=0\qquad\text{add 4 to both sides}\\x=4\notin D\\\\x+1=0\qquad\text{subtract 1 from both sides}\\x=-1\in D[/tex]
What is the value of k?
k = 28
k = 29
K=31
K=42
The attachment should answer some of your guys “what does k=?” Questions
Write your answer without using negative exponents.
(w^5)^-7
Your answer would be [tex]\frac{1}{w^{35} }[/tex]
This is because (w^5)^-7 expands to give w^-35 because you multiply the exponents. When you have a negative exponent, this can also be written as a reciprocal, i.e. x^-2 = 1/x². This means that we can write w^-35 as 1/(w^35), which doesn't include any negative exponents.
I hope this helps! Let me know if you have any questions :)
The answer without using negative exponents [tex](w^{5})^{-7}[/tex] is [tex]\frac{1}{w^{35} }[/tex] .
What are the properties of exponents ?The following properties of exponents are -
[tex](a^{m})^{n}[/tex] = [tex]a^{m*n}[/tex] [tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] How to solve expression using properties of exponents ?Given expression is [tex](w^{5})^{-7}[/tex] .
Using the properties of exponents, we have -
= [tex]w^{-35}[/tex]
= [tex]\frac{1}{w^{35} }[/tex] which does not have any negative exponents.
Thus, the answer without using negative exponents [tex](w^{5})^{-7}[/tex] is [tex]\frac{1}{w^{35} }[/tex] .
To learn more about properties of exponents, refer -
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What’s the recipical of 7/9
Answer:
The reciprocal of [tex] \frac { 7 } { 9 } [/tex] is [tex] \frac { 9 } { 7 } [/tex].
Step-by-step explanation:
We are asked about the reciprocal of the given fraction [tex] \frac { 7 } { 9 } [/tex].
We know that in mathematics, a reciprocal is the multiplicative inverse of a number.
For example, in case of a fraction, its reciprocal will be its inverse which means that we swap the places of numerator and denominator.
So the reciprocal of [tex] \frac { 7 } { 9 } [/tex] will [tex] \frac { 9 } {7 } [/tex].
Fractions are always set up with numerator on top and denominator on bottom like so:
[tex]\frac{numerator}{denominator}[/tex]
To take the reciprocal of a number you must switch the places of numerator and denominator.
Reciprocal of [tex]\frac{7}{9}[/tex] is [tex]\frac{9}{7}[/tex]
Hope this helped!
~Just a girl in love with Shawn Mendes
use the distributive property to write an expression that is equivalent to 5(2x - 1)
Final answer:
To use the distributive property for the expression 5(2x - 1), multiply each term inside the parentheses by 5, resulting in the equivalent expression 10x - 5.
Explanation:
To use the distributive property to write an expression equivalent to 5(2x - 1), you simply multiply each term inside the parentheses by the factor outside, which is 5 in this case. So, you will multiply 5 by 2x and then 5 by -1.
Multiply 5 by 2x: 5 × 2x = 10x.
Multiply 5 by -1: 5 × -1 = -5.
Combine the two results to get the equivalent expression: 10x - 5.
Therefore, using the distributive property, the expression equivalent to 5(2x - 1) is 10x - 5.
how do you know a dilation will produce similar figures?
Answer:
The corresponding side lengths of the figure will be proportional based on the scale factor.
Step-by-step explanation:
A dilation can either be an enlargement or reduction. If the scale factor is less than one then the figure will be a reduction. If the scale factor is one or larger then the figure will be an enlargement. Since a dilation is basically multiplying the figure will always be proportional to the original figure.
Which expressions are equivalent to 2 In a + 2 In b - In a? Refer to the picture for the option listed!
The temperature in Miami, Florida is 22 degrees warmer than three times the temperature in Bangor, Maine. The temperature in Miami is 82 degrees. Write an equation to determine the temperature in Bangor. 3x + 82 = 22 3x + 22 = 82 3x − 22 = 82 3x − 82 = 22
The equation to determine the temperature in Bangor is 3x + 22 = 82. Solving the equation gives the temperature in Bangor as 20 degrees.
Explanation:To write an equation to determine the temperature in Bangor, let's assume the temperature in Bangor is represented by the variable 'x'. The temperature in Miami is 22 degrees warmer than three times the temperature in Bangor. So, we can write the equation as follows:
3x + 22 = 82
Now, to find the temperature in Bangor, we need to solve for 'x'. We can do this by subtracting 22 from both sides:
3x = 82 - 22
3x = 60
Finally, divide both sides of the equation by 3 to solve for 'x':
x = 60 ÷ 3
x = 20
Therefore, the temperature in Bangor is 20 degrees.
Final answer:
The correct equation to find the temperature in Bangor, Maine, given the temperature in Miami, Florida, is 3x + 22 = 82. After solving, the temperature in Bangor is found to be 20 degrees Fahrenheit.
Explanation:
The temperature in Miami, Florida is given as 82 degrees Fahrenheit. According to the problem statement, this temperature is 22 degrees warmer than three times the temperature in Bangor, Maine. Thus, we can express this relationship algebraically as:
Miami temperature = 3 × Bangor temperature + 22
Substituting the known Miami temperature into the equation, we have:
82 = 3 × Bangor temperature + 22
To solve for the temperature in Bangor, we need to subtract 22 from both sides of the equation:
82 - 22 = 3 × Bangor temperature
60 = 3 × Bangor temperature
Finally, divide both sides by 3 to get the temperature in Bangor:
Bangor temperature = 60 / 3
Bangor temperature = 20 degrees Fahrenheit
Therefore, the correct equation to determine the temperature in Bangor is:
3x + 22 = 82
The graph of function f is defined as the set of all points (x, f(x)), where x is in the domain of f.
Please select the best answer from the choices provided
T
F
Answer:
True
Step-by-step explanation:
The domain of a function is the complete set of possible values of the independent variable 'x'. Therefore, the graph of funtion is defined as the set of all points (x, f(x)) where 'x' is the domain of f(x).
Hence, the statement is TRUE
Answer:
True (Please give brainliest)
Step-by-step explanation:
A circuit is supplied with 24 volts and its load offers a total resistance of 400 ohm. What’s the total circuit power?
Answer:
P = 1.44 Watts
Step-by-step explanation:
We know that the relation between voltage and current in a simple circuit with a resistor is
V = I.R
Where
V = the voltage of the source
I = current of the circuit
R = resistance
The power is defined as
P = V.I
Which is the same as
P = V.(V/R)
P = (24 v)^2 / (400 ohm)
P = 1.44 Watts
15p!!what is the percent of change from 72 to 14? round to the nearest percent!
Here is the set up:
Let p = percent of change
(72 - 14)/72 = p/100
Solve for p.
Nick found the quotient of 8.64 and 1.25....
Answer:
No, the power multiplied to 8.64 should havean exponent of zero.
HOPE THIS WILL HELP YOU
Answer:
No, The power multiplied to 8.64 should have an 0 exponent.
Option 2 is correct
Step-by-step explanation:
Nick found the quotient of 8.64 and 1.25 × 10⁵.
Quotient of two number is form of division.
If quotient of a and b then expression is [tex]\dfac{a}{b}[/tex]
Correct steps:
[tex]\Rightarrow \dfrac{8.64\times 10^0}{1.25\times 10^5}[/tex]
[tex]\Rightarrow (8.64\div1.25)\times 10^{0-5}[/tex]
[tex]\Rightarrow 6.912\times 10^{-5}[/tex]
Nick steps:
[tex]\Rightarrow \dfrac{8.64\times 10^1}{1.25\times 10^5}[/tex] wrong step
[tex]\Rightarrow (8.64\div1.25)\times 10^{1-5}[/tex]
[tex]\Rightarrow 6.912\times 10^{-4}[/tex]
The power multiplied to 8.64 should have an 0 exponent.
Therefore, Nick was wrong.
Which polynomial has factors of 4x – 7 and x + 4?
answer: 4x² + 9x - 28.
multiply the factors together:
4x times x = 4x²
4x times 4 = 16x
-7 times x = -7x
-7 times 4 = 28
therefore, (4x-7) times (x+4) = 4x² + 16x -7x = 28
next, you must condense and simplify your answer:
16x -7x equals 9x
your final answer should be 4x² + 9x - 28.
Answer:
The answer is B aka 4x² + 9x - 28.
Step-by-step explanation:
5x - 47< 3(12x - 108) – 2
Answer:
9 < x
Step-by-step explanation:
5x - 47< 3(12x - 108) – 2
Distribute
5x - 47< 36x - 324 – 2
Combine like terms
5x - 47< 36x-326
Subtract 5x from each side
5x-5x - 47< 36x-5x-326
- 47< 31x-326
Add 326 to each side
326 - 47< 31x-326+326
279 < 31x
Divide by 31 on each side
279/31 < 31x/31
9 < x
BIG POINTS!
A cone with a base radius of 8 cm fits inside a sphere of radius 10 cm. Find the perpendicular height of the cone.
Thank you very much for your help!
The solution is:: the area cross sectional area of triangle form in the cone is 80ft²
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
Given in the question,
radius of cone's base = 8ft
cone's base = base of triangle
height of cone = 10 ft
height of cone = height of triangle
Area of triangle
Area = 1/2(h)(b)
here h = height of triangle
b = base of triangle
A = 1/2(8)(10)
A = 40ft²
Since the section is 2 similar triangles back to back around the vertical center
so the area cross sectional area of triangle form in the cone is 2(40)ft² = 80ft²
To learn more on Area click:
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complete question:
You have a cone with a radius of 8 ft and a height of 10 ft. Find the area of the triangle formed by a perpendicular cross-section through the cone’s center.
Where each input has only one output value is called a(n)
C. Function
Hope this helps.
r3t40
Graph this solution x < 4
Answer:
see below
Step-by-step explanation:
x < 4
x is less than 4
Since it is less than, there is an open circle at 4
less than means the line goes to the left
The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both increased by 2, the fraction is now equal to 2/3.
If n = the numerator and d = the denominator, which of the following systems of equations could be used to solve the problem?
5n = 3d and 3n + 6 = 2d + 4
5n = 3d and 4n + 4 = 3d + 6
3n = 5d and 3n + 6 = 2d + 4
Answer:
3n=5d and 3n = 5d and 3n + 6 = 2d + 4
Step-by-step explanation:
Answer: The correct option is
(A) [tex]5n=3d~~~\textup{and}~~~3n+6=2d+4.[/tex]
Step-by-step explanation: Given that the numerator and denominator of a fraction are in the ratio of 3 to 5. When the numerator and denominator are both increased by 2, the fraction is equal to \dfrac{2}{3}.
We are to select the system of equations that could be used to solve the problem.
Since n denotes the numerator and m denotes the denominator of the given fraction, so we have
[tex]\dfrac{n}{d}=\dfrac{3}{5}\\\\\\\Rightarrow 5n=3d,[/tex]
and
[tex]\dfrac{n+2}{d+2}=\dfrac{2}{3}\\\\\\\Rightarrow 3(n+2)=2(d+2)\\\\\Rightarrow 3n+6=2d+4.[/tex]
Thus, the required system of equations is
[tex]5n=3d~~~\textup{and}~~~3n+6=2d+4.[/tex]
Option (A) is CORRECT.
15p!!!!What is the percent of change from 56 to 22? round to the nearest percent
Answer:
60.7143% decrease or 60%
Step-by-step explanation:
The percent of change from 56 to 22 is 60%.
The percent of change from 56 to 22 is 60%.
What is problem-solving?
Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.
Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.
Learn more about Problem-solving here: brainly.com/question/13818690
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which is the measure of XBA if ray BA bisects XBY, which measures 86 grades?
Answer:
∠XBA=43°
Step-by-step explanation:
we know that
If ray BA bisect angle ∠XBY
then
∠XBA=∠XBY/2
we have
∠XBY=86°
substitute
∠XBA=86°/2=43°
Two automobiles start together from the same place and travel along the same route. The first averages 40 miles
per hour and the second 55 miles per hour. How many miles further along the route is the second car at the end of
5 hours?
Make a Selection:
A. (55 x 5) - (40 x 5)
B. 55 x 5
C. 55 - 40
D. 55/5 - 40/5
NEXT >>
Answer:
A. (55 x 5) - (40 x 5)
Step-by-step explanation:
You are solving how much miles (further along) would the second car be after 5 hours.
The first car averages 40 miles per hour. 5 hours later, it will have averaged about 200 miles in 5 hours (40 x 5 = 200).
The second car averages 55 miles per hour. 5 hours later, it will have averaged about 275 miles in 5 hours (55 x 5 = 275)
Subtract: 275 - 200 = 75
The second car would have averaged 75 more miles than the first car.
~
Answer:
A. (55 x 5) - (40 x 5)
Step-by-step explanation:
The "speedier" car goes 55 mph * 5 hrs = 55*5 miles
The "slower" car goes 40mph * 5 hrs = 40*5 miles
The distance between them is
55 *5 - 40*5
how do you factor x squared minus 100
Answer:
(x - 10)(x + 10)
Step-by-step explanation:
x² - 100 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
Hence
x² - 100
= x² - 10² = (x - 10)(x + 10)
What is the slope of the line represented by the equation y = -1/2x + 1/4
Answer:
Step-by-step explanation:
1/-2
Answer:
A) -1/2
Step-by-step explanation: woof