Answer:
B)(x - 2)
Step-by-step explanation:
Given that the area of a rectangle is [tex]x^2-5x+6[/tex].
Now we need to find about which of the given choices could be one of the dimensions. Where given choices are:
A)(x + 3)
B)(x - 2)
C)(x - 1)
D)(x + 6)
We know that area of rectangle = (length) x (width)
So basically we need to factor the given area of rectangle to find the corresponding dimensions.
[tex]x^2-5x+6[/tex]
[tex]=x^2-2x-3x+6[/tex]
[tex]=(x-2)(x-3)[/tex]
Hence B)(x - 2) is the correct choice.
Answer:
x-2
Step-by-step explanation:
Barry buys a package of pasta for $2.39 and a jar of tomato sauce for $3.09. He uses a $0.75 coupon and a $0.50 coupon.
Answer:$4.23
Step-by-step explanation:
Answer:
4.23 is the answer if its wrong let me know what mistakes i made
What is the slope of the line that contains the points (-1,2) and (3,3)?
Answer:
1/4
Step-by-step explanation:
To find the slope of a line from two points we use
m = (y2-y1)/(x2-x1)
m = (3-2)/ (3--1)
= (3-2)/(3+1)
=1/4
Step-by-step explanation:
A(-1,2) and B(3,3) then AB=(4,1).
Normal vector
n=(-1,4)
Our line contains point A(-1,2) and has normal vector n=(-1,4) is
[tex](d) : - 1(x + 1) + 4(y - 2) = 0[/tex]
[tex](d ): - x - 1 + 4y - 8 = 0[/tex]
[tex](d) : - x + 4y - 9 = 0[/tex]
what is 6.4r−7−2.9 simplified
The simplified expression is 3.5r - 7.
To simplify the expression 6.4r - 7 - 2.9r, first, combine like terms by subtracting the coefficients of 'r'.
This yields (6.4 - 2.9)r. Simplifying the coefficients gives 3.5r. Then, subtract 7. Therefore, the simplified expression is 3.5r - 7.
This means that when you distribute the 'r', you multiply it by 3.5, then subtract 7 from the result.
The simplified expression is 3.5r - 7.
Complete question :- Simplify 6.4r - 7 - 2.9r.
Type the correct answer in each box. A circle is centered at the point (-7, -1) and passes through the point (8, 7). The radius of the circle is units. The point (-15, ) lies on this circle.
Answer:
r = 17 units
Step-by-step explanation:
The radius is the distance from the centre (- 7, - 1) to the point on the circle
(8, 7)
Use the distance formula to calculate the radius (r)
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 7, - 1) and (x₂, y₂ ) = (8, 7)
r = [tex]\sqrt{(8+7)^2+(7+1)^2}[/tex]
= [tex]\sqrt{15^2+8^2}[/tex]
= [tex]\sqrt{225+64}[/tex]
= [tex]\sqrt{289}[/tex] = 17 units
Identify the corresponding word problem given in the inequality x less than or equal to 4.50
Answer:
[tex]\boxed{x \leq 4.50}[/tex]
Step-by-step explanation:
[tex]\begin{array}{rrcl}\textbf{Words:} & \text{x} & \text{less than or equal to} & \text{4.50}\\\textbf{Symbols:} & x & \leq & 4.50\\\end{array}[/tex]
Answer:
Step-by-step explanation:
Match the vocabulary word to its correct definition,
1. absolute value
2. continuous function
3. step function
4. piecewise-defined function
function whose graph has no breaks
function whose output equals input for non-negative numbers, and whose output is the opposite of a negative input
function defined on different intervals by different domain rules
function whose graph consists of horizontal line segments
Answer:
function defined on different intervals by different domain rules
hope it helps
The terms absolute value, continuous function, step function, and piecewise-defined function are matched with their respective definitions: the absolute value measures distance from zero, a continuous function has a graph without breaks, a step function has a graph with horizontal steps, and a piecewise-defined function has different rules for different intervals.
Matching Vocabulary to Definitions
Let's match each mathematical term to its correct definition:
Absolute value - This is the function whose output equals the input for non-negative numbers, and whose output is the opposite of a negative input. It can be thought of as the distance from zero on the number line, regardless of direction.
Continuous function - A function whose graph has no breaks is known as continuous. It means you can draw the function without lifting your pen off the paper, indicating it has no jumps or holes.
Step function - Such a function has a graph that consists of horizontal line segments. The value of the function changes in 'steps' rather than smoothly.
Piecewise-defined function - When a function is defined on different intervals by different domain rules, it is known as a piecewise-defined function. It's like having multiple functions strung together each applicable to different parts of the domain.
Please help I don’t know which one it is
Substitute all values for x and y into their placement
y<1-6x
(1)<1-6(-1)
1<7
The coordinate pair is (-1,1)
Use the remainder theorem to divide 5x^2+9x-2 by x+3. what is the remainder?
A)16
B)-44
C)-20
D)40
Answer:
A)16
Step-by-step explanation:
Given
f(x)=5x^2+9x-2
Remainder theorem states that when f(x) is divided by x-a then the remainder can be calculated by calculating f(a).
Now Using the remainder theorem to divide 5x^2+9x-2 by x+3 to find the remainder:
f(x)=5x^2+9x-2
f(-3) = 5(-3)^2 +9(-3) -2
=5(9) - 27 -2
= 45-29
= 16 !
What is the completely factored form of x4 + 8x2 – 9?
ANSWER
[tex] ( {x}^{2} + 9)({x} - 1)(x + 1)[/tex]
EXPLANATION
The given function is
[tex] {x}^{4} + 8 {x}^{2} - 9[/tex]
Split the middle term
[tex] {x}^{4} + 9 {x}^{2} - {x}^{2} - 9[/tex]
Factor by grouping;
[tex]{x}^{2} ( {x}^{2} + 9) -1 ({x}^{2} + 9)[/tex]
Factor further to get:
[tex] ( {x}^{2} + 9)({x}^{2} - 1)[/tex]
Apply difference of two squares to get:
[tex] ( {x}^{2} + 9)({x} - 1)(x + 1)[/tex]
Answer:
[tex](x^2+9)(x-1)(x+1)[/tex]
Step-by-step explanation:
We would need to let u = x^2 and use middle term factorization first. let's do this:
if u = x^2, then x^4 + 8x^2 – 9 would be
u^2+8u-9
Middle term factorization of this is:
(u+9)(u-1)
now replacing back u = x^2:
(x^2+9)(x^2-1)
Using the formula a^2 - b^2 = (a+b)(a-b), we can write (x^2 - 1) as (x+1)(x-1).
So, the final factored form is: (x^2+9)(x-1)(x+1)
Find the value of each variable
Answer:
The correct answer is option C
a = 10√3, b = 5√3, c = 15 and d = 5
Step-by-step explanation:
Points to remember
The angles of a right angled triangle, 30°, 60° and 90° then sides are in the ratio, 1: √3 : 2
To find the value of variables
From the figure we can see 2 right angled triangle with angle 30, 60 and 90
we get, d= 5 then b = 5√3
b = 5√3 the c = 5√3 * √3 = 15
and a = 2 * 5√3 = 10√3
Therefore the correct answer is option C
a = 10√3, b = 5√3, c = 15 and d = 5
Answer:
d.[tex]a=10\sqrt3,b=5\sqrt3,c=15,d=5[/tex]
Step-by-step explanation:
We have to find the value of each variable.
[tex]\frac{P}{H}=sin\theta[/tex]
[tex]\frac{b}{10}=sin 60^{\circ}[/tex]
[tex]\frac{b}{10}=\frac}\sqrt3}{2}[/tex]
[tex]b=10\times \frac{\sqrt3}{2}=5\sqrt3[/tex]
[tex]\frac{d}{10}=cos 60^{\circ}[/tex] ([tex]cos\theta=\frac{base}{hypotenuse}[/tex])
[tex]d=\frac{1}{2}\times 10=5[/tex]
[tex]\frac{b}{a}=sin30^{\circ}[/tex]
[tex]\frac{5\sqrt3}{a}=\frac{1}{2}[/tex]
[tex]a=10\sqrt3[/tex]
[tex]\frac{b}{c}}=tan 30^{\circ}[/tex] ([tex]tan\theta=\frac{p}{b}[/tex])
[tex]\frac{5\sqrt3}{c}=\frac{1}{\sqrt3}[/tex]
[tex]c=5\sqrt3\times \sqrt3=15[/tex]
[tex]a=10\sqrt3,b=5\sqrt3,c=15,d=5[/tex]
Hence, option d is true.
heeeeeeeeeeeeeeeeeeeeeeelp asap ill give freaking 15 points and please give a good explanation.
Answer:
4x - 12
Step-by-step explanation:
Expand 8 - 4(-x + 5) as follows:
8 + 4x - 20
4x - 12 (First answer is the correct one)
8-4(-x+5)
Multiply the bracket by -4 first .
8+4x-20
--=positive
-+= negative
4x-12
8-20=-12 because 12 is bigger than 8
Answer:A
A rectangular prism is 6 inches long, 3 inches wide, and 2 inches high. What is its volume?
72 in. 3
11 in. 3
36 in. 3
22 in. 3
This may be what you're looking for:
Answer:
36 in.³
Step-by-step explanation:
volume = length × width × height
volume = 6 in. × 3 in. × 2 in.
volume = 36 in.³
Check all that apply
Answer:
the answer is A and C
Step-by-step explanation:
Please help and thank you
Answer:
A.
Step-by-step explanation:
To make a decimal into a percent you just move the decimal 2 times to the right.
0.24 = 24%
The percentage of females polled supported Wilson is about 44%
What is percentage?In percentage, a whole collection is divided in 100 parts.It is useful mathematical tool in many arithmetic problems.
Given:
Total frequency of females polls = 0.54
Frequency of polls got by Wilson = 0.24
We have to find the percentage of female polls supported Wilson.
[Percentage Polls) × (Total frequency of females polls)] / 100 = Frequency of polls got by Wilson
⇒ Percentage polls = (0.24 × 100) / 0.54
⇒ Percentage polls = 44.44%
Therefore, the percentage of females polled supported Wilson is about 44%.
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the line passing through point (2, 2) and perpendicular to the line whose equation is y = x
Answer:
[tex]y=-x+4[/tex]
Step-by-step explanation:
We want to find the equation of the line passing through (2,2) and perpendicular to the line with equation y=x.
The given line y=x has slope n=1.
The line that is perpendicular to this line has slope m=-1
The equation is given by the formula;
[tex]y-y_1=m(x-x_1)[/tex]
we plug in the slope and the point to get;
[tex]y-2=-1(x-2)[/tex]
[tex]y-2=-x+2[/tex]
[tex]y=-x+2+2[/tex]
The required equation is
[tex]y=-x+4[/tex]
What is the value of the expression?
tan π/6
Exact Form: √3/3
Decimal Form: 0.57735026
sorry if i got it wrong, i tried my best on this :)
The value of the expression tan π/6 is √3/3 or approximately 0.5774.
The value of the expression tan π/6 is √3/3 or approximately 0.5774.
To find this value, we can remember that tan θ = sin θ / cos θ. So, tan(π/6) = sin(π/6) / cos(π/6).
Thus, tan(π/6) = (√3/2) / (1/2) = √3/3.
given that (-4,-4) is on the graph of f(x), find the corresponding point for the function 1/2 f(x)
Answer:
(-4, -2)
Step-by-step explanation:
The x-coordinate would stay the same, but the y-coordinate would be halved. Thus, the corresponding point would be (-4, -2).
You cut square corners from a piece of cardboard that has dimensions 32 cm by 40 cm. You then fold the cardboard to create a box with no lid. To the nearest centimeter, what are the dimensions of the box that will have the greatest volume?
Answer:
h = 6 cm
l = (32-2(6)) = 20 cm
w = (40-2(6)) = 28 cm
Step-by-step explanation:
Given in the question a piece of cardboard having dimensions 32 by 40
Suppose we cut square of length x
When you cut square corners from a piece of cardboard, two sides are 32-2x, and other two sides are 40-2x lengths
Step 1Formula for the volume of box
v = height * length * width
v = x (32-2x) (40-2x)
v = 4x³ - 144x² + 1280x
Step 2Find derivative and equal it to 0
dv/dx = 4(3)x² - (2)144x + 1280
0 = 12x² - 288x + 1280
x1 = 18.110
x2 =5.88
Step 3Select x and plug value of x to find dimension
(32-2x) > 0
2x < 32
x < 16
so domain say that x should be less than 16 which means x = 5.88 ≈ 6 cm
h = 6 cm
l = (32-2(6)) = 20 cm
w = (40-2(6)) = 28 cm
Can someone please help?
Answer:
A coordinate pair that works as a solution is (1,3)
Answer:
A coordinate pair that works as a solution is (1,3)
Step-by-step explanation:
an original piece of artwork is 3 feet by 2.5 feet. A reprint of the artwork is 6 inches by 5 inches. Are the pieces similiar? If so, what is the ration of their corresponding side lengths?
Answer:
Yes
Explaination:
They are similar and the ratio is still the same. The artwork's shape didn't change we just resized it by multiplyting its length and width by 2.
Which expression is NOT equivalent to (a + b)(x + y)? A) (a + x)(b + y) B) (b + a)( y + x) C) (a + b)x + (a + b)y D) a(x + y) + b(x + y)
Answer:
A)
Step-by-step explanation:
The expression (a + b)(x + y) is not equivalent to (a + x)(b + y). When the terms are distributed, (a + x)(b + y) yields a different result compared to the original expression.
Explanation:The expression (a + b)(x + y) is equivalent to a(x + y) + b(x + y) and (b + a)( y + x) because the order of addition in each element doesn't change the overall result. However, the expression (a + x)(b + y) is not equivalent to the original expression.
To understand why, let's distribute the terms in each equivalent expression:
(a + b)(x + y) = ax + ay + bx + by
(b + a)( y + x) = ay + ax + by + bx = ax + ay + bx + by
a(x + y) + b(x + y) = ax + ay + bx + by
As you can see, all these three expressions give the same result when distributed. But, if we now distribute the terms in (a + x)(b + y):
(a + x)(b + y) = ab + ay + bx + xy
It's clear that it does not yield the same result. Thus, option A) (a + x)(b + y) is not equivalent to the original expression (a + b)(x + y).
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The probability that Yuri will make a free throw is 0.3. The probability that he will make two consecutive free throws is _______. The probability that he will make the first and not the second in two free throws is _______. The probability that he will make neither of the two free throws is _______.
Answer:
1. 0.09
2. 0.21
3. 0.49
Step-by-step explanation:
If the probability that Yuri will make a free throw is 0.3, then the probability that Yuri will not make a free throw is 1-0.3=0.7.
1. The probability that Yuri will make two consecutive free throws is
[tex]0.3\cdot 0.3=0.09[/tex]
2. The probability that he will make the first and not the second in two free throws is
[tex]0.3\cdot 0.7=0.21[/tex]
3. The probability that he will make neither of the two free throws is
[tex]0.7\cdot 0.7=0.49[/tex]
Answer:
0.78
Step-by-step explanation:
Divide: 5/18
90+33+what gives us 180?
Answer:90+33 = 123
123-180=77
So 77
Step-by-step explanation:
Answer:
The answer is 77
Recipe calls for 2/3 a cup of sugar per batch. Elena used 5 1/3 cups of sugar to make multiple batches of cookies. How many batches did she make? Can you show me the steps to get the answer?
Thank you,
Answer:
8 Batches
Step-by-step explanation:
Simple. Since it takes 2/3 of a cup for one batch, we divide 5 1/3 by 2/3, wich equals 8.
She make total number of 8 batches.
Amount of sugar required per batch = [tex]\frac{2}{3} [/tex] cup
Since, Elena used [tex]5\frac{1}{3} [/tex] cups of sugar to make multiple batches of cookies.
To find number of batches she make, divide total amount of sugar by amount of sugar per batch.
Number of batches she make,
[tex]=5\frac{1}{3}\div\frac{2}{3}\\ \\ =\frac{16}{3}*\frac{3}{2}=8 [/tex]
Hence, She make total number of 8 batches.
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A trapezoid has based of 15 inches and 7 inches. It’s height is 6 inches. What equation can I use to find the area?
Answer:
A=1/2 h(b1+b2)
Step-by-step explanation:
h being the height and b1 being base one and b2 being base two
Which expression is equal to 45+27?
Answer:
B
Step-by-step explanation:
45+27=72
A- 15 times 9 equals 135
B- 8 times 9= 72
C 45 times 18 equals 810,
D- 14 times 12 equals 68
An apartment complex has 20 apartments. the number of bedroom is represented in the
box-and-whisker plot as shown.
Label all the following values on the box and whisker plot:
Median:____
Lower quartile:___
Upper quartile:___
Minimum:___
Maximum:___
median: 3
lower quartile: approximately 2.25
higher quartile: approximately 4.75
minimum: 0
maximum: 6
hope that helps
is 1/2 gallon greater than 5/8 gallon?
No 5/8 is bigger because half of 8 is 4 and 5 is greater than 4
In comparing 1/2 gallon and 5/8 gallon, using equivalent fractions shows that 5/8 gallon is larger than 1/2 gallon.
Explanation:In the comparison of 1/2 gallon and 5/8 gallon, it's important to remember that fractions provide a way of representing parts of a whole. With fractions, the numerator represents the part while the denominator represents the total parts. So here, the fraction 5/8 represents 5 parts of a total 8 parts, where 1 gallon is considered the 'whole' or 'total' amount.
To determine if 1/2 is greater or less than 5/8, we want to make the denominators the same for comparison. Multiply the numerator and the denominator of the first fraction (1/2) by four to get it to the same denominator as the second one. This results in 4/8 for the first fraction.
Now, comparing 4/8 and 5/8, we find that 5/8 is greater than 4/8. Therefore, 5/8 gallon is indeed more than 1/2 gallon.
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HEEEEEEELLLLLLPPPPPPPP!!!!!!!!!!
Brian and Ted used the equation 17=d+12 to find d, the money Ted needed so that he had the same amount of money as Brian.
Which equation explains the process Brian and Ted could have used to find d?
A. 17 - 17 = d + 12 - 17
B. 17 + 17 = d + 12 + 17
C. 17 - 12 = d + 12 - 12
D. 17 + 12 = d + 12 + 12
Answer:
C. 17 - 12 = d + 12 - 12
Step-by-step explanation:
You need to get d by itself and in order to do that you need to subtract 12
I WILL MARK AS BRANLIEST!
Mia is working on projects that require 3 1/2 yards of ribbon per project. Mia has 28 yards of ribbon. What is the greatest number of projects that Mia can complete with this ribbon?
Answer:
8 projects
Step-by-step explanation:
28 : 3,5 = 8
Final answer:
Mia can complete 8 full projects with 28 yards of ribbon by dividing the total yards by the yards needed per project, after converting 3 1/2 yards to an improper fraction (7/2).
Explanation:
The subject of this question is Mathematics, and the question would typically fall under a middle school grade level. To solve the problem about the number of projects Mia can complete, we need to use division. Mia has a total of 28 yards of ribbon and needs 3 1/2 yards of ribbon for each project. By converting the mixed number to an improper fraction, we get 7/2 yards per project; then we can divide the total yards by the yards needed per project.
To calculate how many full projects Mia can complete:
Convert 3 1/2 to an improper fraction: 3 1/2 = 7/2.Divide 28 by 7/2: 28 × 2/7 = 8.Mia can complete 8 full projects with the ribbon she has.