Below are different ways students tried to start this problem. Which is correct?

(- 10) * (½) * (- 8)


A) (½) * - 8 = - ( - 8/16 )

B) (-10) * (½) = 5

C) -10 * (- 8) = 80

D) -8 * 2 = - 16

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[tex]4 \times {9}^{2x} = 42[/tex]

Divide sides by 4

[tex] \frac{4 \times {9}^{2x} }{4} = \frac{42}{4} \\ [/tex]

[tex] {9}^{2x} = \frac{2 \times 21}{2 \times 2} \\ [/tex]

[tex] {9}^{2x} = \frac{21}{2} \\ [/tex]

[tex]( { {9}^{2} })^{x} = \frac{21}{2} \\ [/tex]

[tex]x = log_{ {9}^{2} }( \frac{21}{2} ) \\ [/tex]

[tex]x = \frac{1}{2} log_{9}( \frac{21}{2} ) \\ [/tex]

[tex]x = \frac{1}{2} log_{ {3}^{2} }( \frac{21}{2} ) \\ [/tex]

[tex]x = \frac{1}{2 \times 2} log_{3}( \frac{21}{2} ) \\ [/tex]

[tex]x = \frac{1}{4} log_{3}( \frac{21}{2} ) \\ [/tex]

[tex]x = \frac{1}{4} ( \: \: log_{3}(21) - log_{3}(2) \: \: ) \\ [/tex]

[tex]x = \frac{1}{4} ( \: \: log_{3}(3 \times 7) - log_{3}(2) \: \: ) \\ [/tex]

[tex]x = \frac{1}{4} ( \: \: log_{3}(3) + log_{3}(7) - log_{3}(2) \: \: ) \\ [/tex]

[tex]x = \frac{1}{4} ( \: \: 1 + log_{3}(7) - log_{3}(2) \: \: ) \\ [/tex]

And we're done...

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Answer: a

Step-by-step explanation:

82 is 122 degrees warmer than -40

Answer:

Width of rectangular piece = x = 8 inches

Step-by-step explanation:

Perimeter of rectangular piece = 62 inches

Let width of rectangular piece= x

and length of rectangular piece = x+15

We need to find width i.e value of x

The formula used for perimeter of rectangle is: [tex]Perimeter=2(Length+Width)\\[/tex]

Putting values in formula and finding Width:

[tex]Perimeter=2(Length+Width)\\\\62=2(x+x+15)\\62=2(2x+15)\\62=4x+30\\62-30=4x\\4x=32\\x=\frac{32}{4}\\x=8[/tex]

After solving we get value of x = 8

So, Width of rectangular piece = x = 8 inches

Answer:

Step-by-step explanation:

Given that :

Dimension of rail road toy trains :

Length = 15 inches

Width = 4 inches

Scale = 2/9

Dimension of car on the long Island rail road :

Let length = x

Length = 2/9 of x = 15 inches

= 0.22222x = 15 inches

LENGTH = 67.5 inches

WIDTH = 2/9 of x = 4 inches

0.22222x = 4 inches

Width = 18

Width = 6 inches

Answer:

Option (A)

Step-by-step explanation:

From the table attached,

Independent variable 'x' is will be represented by the distance from Metro area.

Similarly, dependent variable 'y' will be on y-axis.

Scatter plot relating the distances of various cities from the metro area (x) to the population of the cities (y) will be represented by the ordered pair as (x, y).

Set of ordered pairs to be plotted,

[(1, 300), (5, 275), (10, 208), (15, 135), (20, 108)]

Therefore, graph given in Option (A) will be the answer.

Answer:

About 14 in the exact value is 14.38 smthn

Answer:

C. x=3

Step-by-step explanation:

Because the sides are proportionate to each other

Side 3 is 3x the length of Side 1

Therefore,

Side 9 is also 3x the length of side X

3x=9

Divide both by 3

and X will be 3.

Answer:

-1/2.

Change in y above change in x (don't mix that up)

The first coordinate is 3,-2 the second is 2,-4.

The change is x was -1 . (2-3)

The change in y was 2. (-4-(-2))

Answer:

The answer would be line be because it goes down 2 and forward one.

Answer:

B and E

Step-by-step explanation:

9 power 3 is volume

9 x 9 x 9 is volume

HOPE THIS HELPS

PLZZ MARK BRAINLEIST

Answer:

1=y=4x+-2        2=y=4x-3

Step-by-step explanation:

Answer:

Slope= 15

Hope this helps! :)

Answer: Y = 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/4a>-16=

a >- 64/3 or -21  1/3

Answer:

6

Step-by-step explanation:

Answer:

y=7/2x-4

Step-by-step explanation:

Slope-intercept form is written y=mx+b. M stands for slope, x stays as x, and b is the y-intercept. If we plug in the numbers we have, the equation becomes...

y=7/2x-4

I hope this helps you out!! The equation is actually pretty simple once you get used to it. Have a nice day ヾ(•ω•`)o

Answer:

TriangleJXP = Triangle HCD

Side XJ = side HC

Side CD = side JP

Side PX = HD

Step-by-step explanation:

Looking at both of the triangles you use the lines on “top” of the side. These lines represent congruence meaning that they are similar to each other.

So looking at side JP u can see that there are two lines meaning that this is the second side that is congruent to another side, side CD.

Hope this helps.

Answer:

Between -0.75 and 2/3 thirds.

Step-by-step explanation:

Given that:

A list of three numbers.

2/3 thirds, 1.75 and −0.75

Let us convert them all in decimal points.

0.67, 1.75 and -0.75.

Now, let us sort them in the ascending order.

-0.75, 0.67, 1.75

Looking at the given number to be placed: [tex]\frac{1}{4}[/tex] which is equal to 0.25

Now, let us place them on a number line.

We can clearly see that the given number will be between -0.75 and 2/3 thirds.

Kindly have a look at the answer area for the attached image containing the number line for the list of numbers and the given number.

Answer:

6/12 or 1/2

Step-by-step explanation:

there ya go i think its right

Answer:b

Step-by-step explanation:

Answer: B.

Step-by-step explanation:

The value of p is 2.

The value of q is 14

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Two functions:

f(x) = 3x + p

g(x) = px + 4

Now,

f(g(x)) = 6x + 9

This means,

3(g(x)) + p = 6x + q

Substituting g(x) = px + 4.

3(px + 4) + p = 6x + q

3px + 12 + p = 6x + q

3px + (p - q) = 6x - 12

This means,

3p = 6

p = 2

p - q = -12

2 - q = -12

q = 2 + 12

q = 14

Thus,

p is 2 and q is 14.

Learn more about functions here:

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Answer:

2

Step-by-step explanation:

Really doesnt need more explanation

Answer:

112

Step-by-step explanation:

srry. i meant to put 112 erlier

The required sum of the measures of angles D and F is 260 degrees.

Let's represent the measures of angles D, E, and F as D, E, and F, respectively.

From the given information, we have the following equations:

D + E = 110 (The sum of the measures of angles D and E is 110)

E + F = 150 (The sum of the measures of angles E and F is 150)

Now, we want to find the sum of the measures of angles D and F, which is D + F.

To find D + F, we need to eliminate E from the equations. We can do this by adding equations (1) and (2):

(D + E) + (E + F) = 110 + 150

Now, the E terms cancel out:

D + F = 260

So, the sum of the measures of angles D and F is 260 degrees.

Learn more about angles here:

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Answer:

equation for slope:

y2-y1 / x2-x1

0- (-4) / 0 - (-5)

4/5 is your slope

Step-by-step explanation:

Answer:

B. [tex] y - 3 = \frac{2}{3}(x - 4) [/tex]

Step-by-step explanation:

We can create an equation to represent the graph in point-slope form, given as [tex] y - y_1 = m(x - x_1) [/tex], by using a point (x1, y1) on the line, (4, 3) and the slope (m) of the line.

Let's find slope using the two points (4, 3) and (-2, -1).

[tex] slope (m) = \frac{y_2 - y_1}{x_2 -x_1} = \frac{-1 - 3}{-2 - 4} = \frac{-4}{-6} = \frac{2}{3} [/tex]

Substitute m = ⅔, x1 = 4, and y1 = 3 in [tex] y - y_1 = m(x - x_1) [/tex].

The equation that represents the graph would be:

✅[tex] y - 3 = \frac{2}{3}(x - 4) [/tex],

Answer:

All answer below

Step-by-step explanation:

Equation of the Line

The standard form of the equation of a line is shown below:

Ax+By=C

And the slope-intercept form is:

y = mx + b

Where m is the slope and b is the y-intercept.

If we wanted to convert from the first form to the second we will perform the following operations:

Subtract Ax:

By = -Ax + C

Divide by B:

y = -A/Bx+C/B

The coefficient of x is -A/B (fill the blank with that text) and the y-intercept is C/B (again, fill in the blank)

The slope m is the coefficient of x, m=-A/B and it can be found it you divide the opposite of A by B. The selected option is correct.

The y-intercept is the division of C by B. Again, the selected option is correct.