Which describes the range of the parent absolute value function?
{yly} is a real number}
{yly} is an integer}
{yly ≥ 0}
{yly ≤ 0}

Answer: 180

Step-by-step explanation: You first have to find the surface area of each face of the rectangular prism. So, we can multiply 8 and 6 to find the largest face, 8 and 3 to find the second largest face, and 6 and 3 to find the smallest face. We also know that there are two of each face.

8*6=48

8*3=24

6*3=18

Now we can either double everything now or add everything and then double it.

48*2=96

24*2=48

18*2=32

96+48+32=180

or we can do it this way:

48+24+18=90

90*2=180

Answer:

[tex]g(x)=|x-2|+10[/tex]

Step-by-step explanation:

Translations

[tex]f(x+a) \implies f(x) \: \textsf{translated $a$ units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated $a$ units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated $a$ units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated $a$ units down}[/tex]

Given absolute value function:

[tex]f(x)=|x|[/tex]

To translate the given function 2 units to the right, subtract 2 from the x-value:

[tex]\implies f(x-2)=|x-2|[/tex]

Then to translate the given function 10 units up, add 10 to the function:

[tex]\implies f(x-2)+10=|x-2|+10[/tex]

Therefore, the function that translates the function f(x) = |x| to the right 2 units and up 10 units is:

[tex]\large\boxed{g(x)=|x-2|+10}[/tex]

 A line's slope is a measurement of how steep a line is. Slope is calculated by dividing the change in y values by the change in x values.

  A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

Slope is a measure of the steepness of a line.

Slope = rise / run = Δy / Δx.

Slope= Δx /Δy = 4−0 /2−5 = 4 / −3

​Slope from two points, for instance

We are informed that there are two possible solutions to a particular linear equation:

Solution: x = 11.4, y = 11.5, x = 11.4, y = 11.5, space, space, space, y = 11.

Answer: x=12.7 y=15.4 x=12.7 y=15.4

Slope=

Δx / Δy  =  12.7−11.4 /15.4−11.5

=  1.3 /3.9

= 13 /39

=3.

The line has a 333 slope.

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​

​

Reflection across the x axis involve negating the value of the y axis but the value of the x axis remain the same. Reflection across the y axis negate the x coordinates but the y values remains the same. When you reflect across the line y=x the coordinate and the y coordinates change places. Whe it rotate 180 degree around the origin the x and y values are negated. The transformation is interpreted as follows.

The answer is C which is reflection across the y axis followed by a 180 degree rotation around the origin.

The logic here is that PQRS is first reflected across the x axis which makes the y values negative. Then it reflect across the y axis which makes the value of x negative. So both x and y values are negative at this point. The rotation of 180 degree around the origin negates both the x and y values to make it all positive like the initial values of PQRS.

By using exponent properties, we will see that the simplification is the following:

∛x³ = x

Here we have the algebraic expression:

∛x³

And we want to simplify this, there are two things you need to remember before doing this, these are the exponent properties:

(xᵃ)ᵇ = xᵃ*ᵇ

and:

ⁿ√x = x¹/ⁿ

Then we can rewrite:

[tex]\sqrt[3]{x^3} = (x^3)^{1/3}[/tex]

Using the first property now we can write:

[tex](x^3)^{1/3} = x^{3*1/3} = x^1 = x[/tex]

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Answer:

40x

Step-by-step explanation:

4x10x

=

40x

Answer:4x+50?

Step-by-step explanation:

4(10+x)

Simplified into 50+4x

So basically 4x+50

Answer:

9:7:14

Step-by-step explanation:

where I got my answer

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A compound inequality is created by joining two or more inequalities together using or or and (also known as a combined inequality). For a value to be the answer to an or inequality, it simply needs to make one part of the inequality true. To be effective, a solution to an inequality must make both sides true. Examples are x3 or x>2.

A sentence having two inequality statements connected by the words "or" or "and" is referred to as a compound inequality. The conjunction "and" denotes the simultaneous truth of both statements in the compound sentence. It is when the solution sets for the various statements cross over or intersect.

Divide a compound inequality into two independent ones before attempting to solve it. Choose either a union of sets ("or") and an intersection of sets as the appropriate response ("and"). Then, resolve the graph and all inequalities.

The values that belong to both graphs—where the graphs overlap—are found by first examining the graphs of each individual inequality in order to obtain the answer to a "and" compound inequality. We graph each inequality for the compound inequality x>3 and x2. Next, we search for areas where the graphs "overlap."

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Answer:

36

Step-by-step explanation:

3x+5+2x-5 = 180 ( being linear pair)

5x = 180

x= 36

Functions y=x and y=x-3 are related in a way that each output for y=x–3 is 3  units more than the corresponding output for y=x.

Their graphs are related in a way that the graph of y=x–3 is the graph of y=x translated down 3 units

A function will defines one variable in terms of the other. Functions y=x means that y will vary directly to whatever value x takes.

When the graph of function y=x is drawn, then it is a straight line through the origin.

Now, functions y=x and y=x-3 are closely related. The graphs of the two are almost the same, the only difference is that every point on  function y=x has been lowered by 3 to be function y=x-3.

Hence, the output for y=x-3 is 3 units more than the output of y=x, and the graph of function y=x is translated down by 3 units to get function y=x-3

The graphs for functions y=x and y=x-3 are shown below:

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Answer:

c=3*6

Step-by-step explanation:

c=3 boxes * 6 cupcakes per box

The linear functions would be given as follows:

a) Parallel: y = x + 3.

b) Perpendicular: y = -x - 1.

The equations have different slope and intercept.

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which the coefficients are described as follows:

For item a, we consider that if two lines are parallel, they have the same slope, hence the line would also have a slope of 1, that is:

y = x + b.

From point (-2,1), we have that when x = -2, y = 1, hence we can solve and find the intercept b as follows:

1 = -2 + b

b = 3.

Hence:

y = x + 3.

For item b, we consider that if two lines are perpendicular, the multiplication of their slopes is of -1, hence:

m = -1.

Then:

y = -x + b.

From the point (-2,1), we can find b as we did above, hence:

1 = -(-2) + b

2 + b = 1

b = -1.

Hence the rule is:

y = -x - 1.

The equations have different slope and intercept, that is, their coefficients are different.

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Answer:

84% of the cupcakes were chocolate- flavored.

Step-by-step explanation:

[tex] \frac{252}{300} = \frac{84}{100} = 84\%[/tex]

Answer:

(5v+4y+6)

Step-by-step explanation:

You have to distribute/multiply the negative sign (-) to all the values inside.

-(-5v-4y+6)=

-(-5v)=5v (-×- = +)

-(-4y)= 4y  (-×- = +)

-(6)= -6  (-×+ = -)

The answer is:

(5v+4y+6)

Answer: 3 1/3

Step-by-step explanation:

-7 - (-3 2/3)

-7 = -6 -3/3

-6 -(-3) = -3

-3/3 -(-2/3) = -1/3

-3 + (-1/3) = -3 1/3

|-3 1/3| = 3 1/3

The distance between the two numbers is 3 1/3

Using the properties of percentage we get that the shirt cost  $0.25 more in Fresno than in Bakersfield.

A percentage is a figure or ratio stated as a fraction of 100 in mathematics.

Price of the shirt is Fresno

= 35 + 8.225% of 35

= 37.87875

≈ 37.88 dollars

Price of the shirt in Bakersfield

= 35 + 7.5% of 35

= 35 + 2.625

= 37.625

≈ 37.63 dollars

Difference in price after adding the sales tax percentage

= 37.88-37.63

= 0.25 dollars

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The expression which is equivalent to the given expression is -7.74x² - 7.2x.

The given expression is (4.3x + 4)(−1.8x).

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Now, the given expression can be solved as follows:

(4.3x + 4)(−1.8x)

Using distributive property

4.3x × (−1.8x) + 4 × (−1.8x)

= -7.74x² - 7.2x

Therefore, the expression which is equivalent to the given expression is -7.74x² - 7.2x.

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There is 0.009% probability that Casper broke the dish.

Firstly we will calculate the probability of bussing the table by each person.

Probability of bussing tables by Alonzo = 55%

Probability = 0.55

Probability of bussing tables by Bob = 15%

Probability = 0.15

Probability of bussing tables by Casper = 30%

Probability = 0.3

Now calculating the probability of breaking the dish by each person

Probability of breaking dish by Alonzo = 5%

Probability = 0.05

Probability of breaking dish by Bob = 2%

Probability = 0.02

Probability of breaking dish by Casper = 3%

Probability = 0.03

The phenomenon of bussing of tables and breaking the dish is independent. So, probability will be calculated by the formula -

P (A and B) = P (A) × P (B)

P (Casper of bussing the table and breaking the dish) = Probability of bussing tables by Casper × Probability of breaking dish by Casper

Keep the values

P (Casper of bussing the table and breaking the dish) = 0.3 × 0.03

Performing multiplication

P (Casper of bussing the table and breaking the dish) = 0.009

Hence, probability is 0.009%.

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The correct option about Naomi is that dhe used the commutative and associative properties correctly but got an incorrect answer.

It should be noted that the commutative property states that that order of mathematical operations don't matter. The associative property illustrates that the grouping of numbers such that:

(a + b) + c = a + (b + c)

The steps given are:

Add: 358+(216+238)

Step 1 =358+(238+216)

Step 2 =(358+238)+216

Step 3 =6+216

Step 4 =816

You can see that the step 3 is incorrect as well as the final answer. In this case, (358+238)+216 will be 812.

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The value of y = 12.

Given,

m ∠ABC = 40° and BD is the angle bisector of ∠ABC.

To find the value of y=?

Now, According to the figure,

For value x, (Adjacent angles)

3x - 1 = 34 - 2x

3x + 2x = 34 +1

5x = 35

x = 7

And, For value of y ,

A and C are altitude

3y +6 =  5y - 18

3y - 5y = -18 - 6

-2y = -24

y = 12

Hence, The value of y = 12.

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Number of cubic feet water is passing through dam in 3 second = 4 cubic ft

Therefore, amount of water passes through dam in 1 seconds

= \frac{\text{Amount of water passing through dam}}{\text{Duration}}

Duration

Amount of water passing through dam

= \frac{4}{3}

3

4

cubic feet per seconds

Answer:

[tex]a) n =\dfrac{c}{d}\\\\\\b) b= 2A -a\\\\c) m_1=\dfrac{Fr^2}{Gm_2}[/tex]

d) z = 10

Step-by-step explanation:

   a)

         [tex]\sf d = \dfrac{c}{n}\\\\\text{Mulitply the entire equation by 'n',}\\\\n*d=n*\dfrac{c}{n}\\\\nd =c\\\\\text{Now, divide the entire equation by 'd',}\\\\n =\dfrac{c}{d}[/tex]

b)

            [tex]\sf A = \dfrac{a+b}{2}\\\\\text{Multiply the entire equation by 2,}\\\\2*A = 2*\dfrac{a+b}{2}\\\\2A = a+b\\\\\text{Now subtract 'a' from both sides,}\\\\2A - a = b\\\\\boxed{b=2A - a}[/tex]

c)

               [tex]\sf F =\dfrac{Gm_1m_2}{r^2}[/tex]

               Multiply the entire equation by r²,

             [tex]\sf Fr^2=r^2*\dfrac{Gm_1m_2}{r^3}\\\\Fr^2=Gm_1m_2[/tex]

             Divide the entire equation by Gm₂,

            [tex]\sf \dfrac{Fr^2}{Gm_2}=m_1\\\\\boxed{m_1=\dfrac{Fr^2}{Gm_2}}[/tex]

D) A = 7 ; y =4

Substitute in the equation and find the other number.

          [tex]\sf A = \dfrac{1}{2}(y+z)\\\\7=\dfrac{1}{2}(4+z)\\\\Multiply \ both \ sides \ by 2,\\\\7*2 = 4 +z[/tex]

             14 = 4 + z

Subtract 4 from both sides,

        14 - 4 = z

               z = 10

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{2}x+1\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking for the equation of a line that has a slope of 2 and it passes thourhg (4 , 6)

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{6})\hspace{10em} \stackrel{slope}{m} ~=~ 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{ 2}(x-\stackrel{x_1}{4}) \\\\\\ y-6=2x-8\implies {\Large \begin{array}{llll} y=2x-2 \end{array}}[/tex]

Answer:

p=-1.25

Step-by-step explanation:

first, we do the absolute value so we get 7x5p+7=-21

now we subtract 7 on each side so now it is 7x5p=-28

now we multiply the 7 and 5p so no it is 35p=-28

now we divide both sides by 35 now the answer is p=-1.25

Answer:

Positive

Step-by-step explanation:

I would estimate the correlation coefficient to be positive, because the slope is up and to the right, with both the x- and y- values becoming larger and larger which indicates that the correlation is positive.

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Answer:

B) at a distance of 4 tick marks above 0

Step-by-step explanation:

The dot represents the number on the line, R, and the opposite of -4 is positive 4, which is 4 tick marks above 0.

The volume of the rectangular prism is 27 inch³.

Given that,

We are going to find the volume of the given rectangular figures in the picture.

The volume of a three-dimensional figure is the amount of rectangular units required to completely fill the interior space.

Volume of the rectangular prism is length×width×height.

Volume of a cube is (side length)³.

If we take each cube from a figure u will get the side length as 1 inches.

So, The 1 cube volume is S³

=1³=1 inch³

Now, we take each cube row's.

Each row as 9 cubes

We get the volume as 9 inch³.

Then there are 3 rows in the diagram.

=9+9+9

=27 inch³

Therefore, The volume of the rectangular prism is 27 inch³.

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