The number of boys is 3 more than double the girls. Together, there are 54 students in total. How many boys and girls are there?

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:

About 14 in the exact value is 14.38 smthn

The measure of angle EDF from the given figure is 23°.

From the given figure, ∠EGF=23°.

The angles at the circumference subtended by the same arc are equal. More simply, angles in the same segment are equal.

By using angles in the same segment theorem, we get

∠EGF = ∠EDF = 23°

Therefore, the measure of angle EDF from the given figure is 23°.

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Answer:

Step-by-step explanation:

3/4a>-16=

a >- 64/3 or -21  1/3

Answer:

6/12 or 1/2

Step-by-step explanation:

there ya go i think its right

Answer:

The two expressions are;

4(3x + 5)

and

(6x + 10) + (6x + 10)

Step-by-step explanation:

Here, we want to write two different expressions to represent the perimeter of the square

The perimeter is given as 12x + 20

Using factoring, we can have this as;

4(3x + 5)

Otherwise, we can have

(6x + 10) + (6x + 10)

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:

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:

Slope= 15

Hope this helps! :)

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:

x = -3

Step-by-step explanation:

[tex]-54= 6(x-6)\\\\-9=x-6\\\\x=-3[/tex]

Answer:

x=-3

Step-by-step explanation:

-54= 6(x-6)

switch sides = 6(x-6)=-54

divide both sides by 6 =x-6=-9

add 6 to both sides = x=-3

x=-3

Answer:

24

Step-by-step explanation:

well yea just trust me :)

Answer:

8 oz.

Step-by-step explanation:

there are 88 oz in 5.5 lbs.

the recipe calls for 80 oz.

subtract 88 from 80

answer - 8 ozs cut off.

Answer:

none of the answer choices are correct.

CORRECT ANSWER: 15,190

Answer:

The actual product is 15,190

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

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.

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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:

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:

It's C, g(x) = (1/2)^x

This is a horizontal reflection of y = 2^x

across the y axis.

Step-by-step explanation:

Using the process of elimination, you can spot this answer by applying what is logical about the transformations of an exponential function.

The transformations of a standard exponential function can be given by:

ab^(1/c(x-h))+k

First note that A must be incorrect because -2^x would be a reflection across the x axis which would not match the function g because a reflection across the x axis would cause the exponential growth or decay value b to become a reciprocal and -2 is not a reciprocal of 2.

Answer:

The perimeter of the figure as a function of the number of triangles is [tex]y = 6 + 4\cdot x[/tex].

Step-by-step explanation:

According to the diagram, we get the following facts:

i) For one triangle ([tex]x=1[/tex]), the total perimeter is ([tex]y=2\cdot 3 + 1\cdot 4 = 10[/tex]).

ii) For two triangles ([tex]x = 2[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +2\cdot 4 = 14[/tex])

iii) For three triangles ([tex]x = 3[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +3\cdot 4 = 18[/tex])

iv) For four triangles ([tex]x = 4[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +4\cdot 4 = 22[/tex])

From these information we conclude that the equation that determines the perimeter of the figure as a function of the number of triangles is [tex]y = 6 + 4\cdot x[/tex].

Answer:

Average rate of change from day 2 to day 5 is $43.33/day.

Step-by-step explanation:

Sales on day 2 = 200

Sales on day 5 = 330

Rate of change = [tex]\frac{330-200}{5-2} =\frac{130}{3}=43.33[/tex]

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:

5

Step-by-step explanation:

just do 12 minus 7 and you get 5

Answer:

equation for slope:

y2-y1 / x2-x1

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

4/5 is your slope

Step-by-step explanation:

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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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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.

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Answer:

112

Step-by-step explanation:

srry. i meant to put 112 erlier

Given:

The set of points.

To find:

Which set of points represents a function?

Solution:

A set of points represents a function if there exist a unique y-value for each x-value.

It option A, the set of points is

{(1,-2), (3,-5), (3,-2), (5,-7), (7, -8)}

This is not a function because there exist two y-values y=-5 and y=-2 for x=3.

It option B, the set of points is

{(0,1),(1,−3),(2,−5),(3,−7),(4,−9)}

This is a function because there exist a unique y-value for each x-value.

It option C, the set of points is

{(−1,1),(−1,3),(−1,5),(−1,7),(−1,9)}

This is not a function because there exist five y-values y=1,3,5,7,9 for x=-1.

It option D, the set of points is

{(−4,0),(−3,−1),(−3,1),(0,−2),(0,2)}

This is not a function because there exist two y-values y=-1 and y=1 for x=-3.

Therefore, the correct option is B.

Answer:

problem ...

Which of the following sets represents a function?

{(3, 5), (-1, 7), (3, 9)

{(1, 2), (3, 2), (5, 7)}

{(1, 2), (1, 4), (1, 6)}

Step-by-step explanation:i think is

{(1, 2), (3, 2), (5, 7)}