What is the area of the shaded region?



? mm2

The "-4" tacked onto the 2x^2 term will move the entire parabola down 4 units. This is because y = 2x^2 becomes y-4 = 2x^2-4

The y-4 means we move every y coordinate down 4 spots. The x coordinate stays the same.

x=4.80989686

by simplifying both sides of the equation, then isolating the variable.

Answer:

x= - 9

Step-by-step explanation:

This problem bothers on the law of indices

Given the expression

3^4x=27^x-3

We can also simplify it using the law

3^4x= 3^3(x-3)

Equating the powers we have

4x= 3(x-3)

Opening bracket

4x= 3x-9

Collecting like terms we have

4x-3x=-9

x=-9

Indices are used to show numbers that have been multiplied by themselves. They can also be used to represent roots, such as the square root, and some fractions. The laws of indices enable expressions involving powers to be manipulated more efficiently than writing them out in full.

the answer is negative 168

Answer:

Step-by-step explanation:

Answer:

3/8 or 37.5%

Step-by-step explanation:

There are a total of 8 possible outcomes. B appears only 3 times in those 8 outcomes. Therefore, the chances of landing on B is 3 out of 8 or 3/8.

The probability of B in percent is 37.5 %.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, Total outcomes = {A, A, B, B, B, C, C, C}

                 n(S) = 8

Now, possibility of B = {B, B, B}

                n(B) = 3

Probability of B = Favorable outcomes/ total outcomes

                           = n(B)  / n(S)

                           = 3/8

                           = 0.375

                           = 37.5 %

Thus, the probability of B in percent is 37.5 %.

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No, they do not represent the same quantity. Explained in attached sheet.

Answer:

its A i just took the test

Step-by-step explanation:

Answer: The correct answer is 24 square units.

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

you need to divide 89 by 8 then round and you get 11

[tex]\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-7}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-7-6}{-5-1}\implies \cfrac{-13}{-6}\implies \cfrac{13}{6}[/tex]

The slope of the line is [tex]\frac{13}{6}[/tex].

A slope of a line is the change in y coordinate with respect to the change in x coordinate.

If [tex]P(x_{1} ,y_{1} )[/tex] and [tex]Q(x_{2} ,y_{2} )[/tex] are the two points on a straight line, then the slope formula is given by:

Slope, m = Change in y-coordinates/Change in x-coordinates

[tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

According to the given question.

We have a two points (1, 6) and (-5,-7).

Therefore, the slope of the line from these points is given by

[tex]slope = \frac{-7-6}{-5-1} = \frac{-13}{-6} =\frac{13}{6}[/tex]

Hence, the slope of the line is [tex]\frac{13}{6}[/tex].

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Answer:

(x - 7)(x + 6)

Step-by-step explanation:

Consider the factors of the constant term ( - 42) which sum to give the coefficient of the x- term ( - 1)

The factors are - 7 and + 6, since

- 7 × 6 = - 42 and - 7 + 6 = - 1

x² - x - 42 = (x - 7)(x + 6)

Answer:

Factor x²−x−42 using the AC method.

Step-by-step explanation:

What is the factored form of the following expression?

x^2 - x - 42

STEPS:

x²-x-42

Break the expression into groups:

=(x²+6x)+(-7x-42)

Factor out x from x²+6x: x(x+6)

Factor out -7 from -7-42: -7(x+6)

=x(x+6)-7(x+6)

Factor out common term x+6

Answer: This question doesn't have an answer.

Step-by-step explanation:

Answer: there are 360 degrees in a circle, that there are 90 degrees in a right angle, and that the angle of an equilateral triangle contains 60 degrees.

Step-by-step explanation:

There are 360 degrees in a circle

Answer:

19.32

Step-by-step explanation:

To find the missing number, we need to solve for the total of the left side of the equation.

Total = 8.4(1.5 + 2.3)

Total = 8.4(3.8)

Total = 31.92

Now we subtract the total to the only value on the right side.

Missing number = 31.9-12.6

Missing number = 19.32

8.4(1.5+2.3) = 12.6 + 19.32

Part A: You can add the time in hours to find the total. 1/3 + 3/4 + 4/6 + 1/2 = 2 1/4 hours which can also be expressed as 2 hours and 15 minutes (1/4 of an hour is 15 minutes.)

Part B: It takes him 3/4 hr to do homework, 4/6 hr to play soccer, and 1/2 hr to play piano. 3/4 + 4/6 + 1/2 = 1 11/12 hrs or 1 hour and 55 minutes (11/12 of an hour is 55 minutes.) Therefore Kevin is wrong.

first off, let's solve the "given" line for "y", that way we can put it in slope-intercept form to see what its slope might be.

[tex]\bf 10x+2y=-2\implies 2y=-10x-2\implies y=\cfrac{-10x-2}{2} \\\\\\ y=\cfrac{-10x}{2}-\cfrac{2}{2}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-5}x-1\impliedby \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]

well, a parallel line to that one, will have the same exact slope, so then, we're really looking for the equation of a line whose slope is -5 and runs through (0 , 12)

[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{12})~\hspace{10em} slope = m\implies -5 \\\\\\ \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-12=-5(x-0) \\\\\\ y-12=-5x\implies y=-5x+12[/tex]

sorry for using printed paper, I tried my best to avoid the lines

Answer:

30x³ + 9x² + 32x - 7

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

5x(6x² + 3x + 7) - 1 (6x² + 3x + 7) ← distribute both sets of parenthesis

= 30x³ + 15x² + 35x - 6x² - 3x - 7 ← collect like terms

= 30x³ + 9x² + 32x - 7

Answer:

A. $24.11

Step-by-step explanation:

Take $210 out of the $250 he gave the cashier

250 - 210 = 40

So you have his exact change without the tax though. so take what he RECIVED away from what he was suppose to recive which is 40. So.....

40 - 15.89 = 24.11

$24.11

Hope this helps!

Answer:

D.) 2.5 miles

Step-by-step explanation:

The first step required for solving this problem is to calculate the midpoint between the theater and the mall (2, 1.5). Then use the distance formula to calculate the distance from the bowling alley to the mall.

The distance from the bowling alley to the mall is 2.5 miles. The coordinates of the midpoint, which is the location of the bowling alley, are calculated first. Then, using the Pythagorean theorem, the distance to the mall is found by calculating the square root of the sum of the squares of the horizontal and vertical distances.

The task is to calculate the distance from the bowling alley to the mall if the bowling alley is at the midpoint between the movie theater at (0,0) and the mall at (4,3). First, we find the coordinates of the midpoint, which is the average of the x-coordinates and the y-coordinates of the two points respectively. Thus, the midpoint is located at:

So, the bowling alley is at point (2, 1.5). Secondly, we use the Pythagorean theorem to find the distance from the bowling alley to the mall:

Applying the distance formula (or Pythagorean theorem):

Distance = √( Δx² + Δy² ) = √( 2² + 1.5² ) = √( 4 + 2.25 ) = √6.25 = 2.5 miles

Therefore, the approximate distance from the bowling alley to the mall is 2.5 miles, which corresponds to answer (D).

Answer:

Step-by-step explanation:

The starting number is 6

6*6=36

36-6=30

6*5=30

Answer:

My guy tha answer is x=6

Step-by-step explanation:

how i know, because i got it right

you would multiply by 4 because if there are 4 cups in a quart then u have 1 quart or 4 cups . thats the only explanation even possible for this problem

Original measurements:

L = 4; W = 6; H = 7

surface area = 2(LW + LH + HW)

surface area = 2(4 * 6 + 4 * 7 + 6 * 7)

surface area = 2(24 + 28 + 42)

surface area = 2(94)

surface area = 188

Doubled measurements:

L = 8; W = 12; H = 14

surface area = 2(LW + LH + HW)

surface area = 2(8 * 12 + 8 * 14 + 12 * 14)

surface area = 2(96 + 112 + 168)

surface area = 2(376)

surface area = 752

The surface area was 188 square inches and it became 752 square inches.

752/188 = 4

As the side lengths increased by a factor of 2, the surface area increased by a factor of 4.

Answer:

3 times 10

Step-by-step explanation:

ANSWER

0

EXPLANATION

Given :

[tex] \frac{2a + 2}{a} = 4[/tex]

We solve for 'a' to obtain,

[tex]2a + 2 = 4a[/tex]

This implies that,

[tex]2 = 4a - 2a[/tex]

[tex]2 = 2a[/tex]

This implies that,

[tex]a = 1[/tex]

We substitute a=1 into

[tex] \frac{ 2{a}^{2} - 2}{ {a}^{2} } [/tex]

This gives us,

[tex]\frac{ 2{(1)}^{2} - 2}{ {(1)}^{2} } = \frac{2 - 2}{2} = \frac{0}{2} = 0[/tex]

Answer:

7.25

Step-by-step explanation:

2 7/8 + 3 2/8 * 1 1/8 = 7.25

Answer:

7 1/4

Step-by-step explanation:

exact form is 29/4 but if you wanted to simplify it the mixed number form is 7 1/4

this is an example, but it's not drawn accurately and not to scale

use a protractor and ruler for yours

Answer:

[tex]\large\boxed{b)\ y=\dfrac{3}{4}x-1}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b = y-intercpt → (0, b)

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (4, 2) and (0, -1) - y-intercept → b = -1.

(we see this already which equation. Only in b) y-intercept is b = -1).

Anyway, calculate the slope:

[tex]m=\dfrac{-1-2}{0-4}=\dfrac{-3}{-4}=\dfrac{3}{4}[/tex]

Finally we have the equation:

[tex]y=\dfrac{3}{4}x-1[/tex]

Answer:

-3/4 g =x

Step-by-step explanation:

g=-4x/3

Multiply each side by 3

3g = -4/3 x *3

3g = -4x

Divide each side by -4

3/-4 g = -4x/-4

-3/4 g =x

Hey there!

First, let’s find the total amount of soup cans:

1 chicken soup

3 vegetable soup

1 tomato soup

1 + 3 + 1 = 5

Therefore, the odds of you randomly selecting the tomato soup is 1/5

Hope this helps you!

God bless ❤️

Brainliest would be appreciated

xXxGolferGirlxXx

Answer: 1 3/4 gallons

Step-by-step explanation: In order to determine the total number of gallons in the recipe you need to convert 8 cups to gallons. There are 16 cups in 1 gallon. In order to determine how many gallons 8 cups is you need to divide 8/16 = 1/2 gallon.

The total number of gallons is 1 1/4 + 1/2.

1 1/4 + 1/2 = 1 3/4 gallons.

Answer:

0 has multiplicity 1

-2 has multiplicity 3

-4 has multiplicity 2

5 has multiplicity 4

Step-by-step explanation:

The multiplicity of the root of a polynomial function, refers to the number of time the root repeats itself.

The given function is

[tex]k(x)=x(x+2)^3(x+4)^2(x-5)^4[/tex]

To find the roots of this function, we equate the function to zero.

[tex]x(x+2)^3(x+4)^2(x-5)^4=0[/tex]

We now use the zero product principle, to obtain;

[tex]x=0[/tex], with multiplicity 1

[tex](x+2)^3=0[/tex]

[tex]\Rightarrow x=-2[/tex], with multiplicity 3

[tex](x+4)^2=0[/tex]

[tex]\Rightarrow x=-4[/tex], with multiplicity 2

[tex](x-5)^4=0[/tex]

[tex]\Rightarrow x=5[/tex], with multiplicity 5.

Answer:

The roots of the function;

[tex]k(x)=x(x+2)^3(x+4)^2(x-5)^4[/tex]

Step-by-step explanation:

Given information:

The function;

[tex]k(x)=x(x+2)^3(x+4)^2(x-5)^4[/tex]

As, we know that multiplicity of any function is defined as the number of times the roots repeats in the solution.

Hence, we need to find the roots of the function

So, equating the function to [tex]0[/tex]

[tex]x(x+2)^3(x+4)^2(x-5)^4=0[/tex]

As, [tex]x=0[/tex] , is having multiplicity [tex]1[/tex].

[tex](x+2)^3=0\\x=-2[/tex]

Having a multiplicity  3.

Now,

[tex](x+4)^2=0\\x=-4[/tex]

Having a multiplicity  2.

And,

[tex](x-5)^4=0\\x=5[/tex]

Having multiplicity  4.

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Answer:

1 line of symmetry through the middle making 2 v s

Step-by-step explanation:

Answer: The figure has 1 line of symmetry.

Step-by-step explanation:

A figure is said to has a line of symmetry if we can draw a line that divides the entire figure into two equal halves, so that each half appears as a reflection image or the mirror of the other.

In the given picture , if given a figure of alphabet W.

It has only a vertical symmetry ( see below the line of symmetry divides W into two Vs) but no horizontal symmetry and any other symmetry.

Therefore , it has only one line of symmetry.

Hence, the figure has 1 line of symmetry.