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The distance between the y-intercept of the function f(x)=3(2)ˣ and the y-intercept of the function g(x) for this case is given by: Option C: 8 units

The intersection of the graph of the function with the y-axis gives  y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.

Assume that we've got: y = f(x)

At y-axis, we've got x = 0, so putting it will give us the y-intercept.

Thus, y-intercept of y = f(x) is y = f(0)

Suppose the given points are [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], then the equation of the straight line joining both two points is given by

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

We're given that:

[tex]f(x) = 3(2)^x[/tex]

Its y-intercept is:

[tex]y = f(0) = 3(2)^0 = 3\times 1 = 3[/tex]

Assuming y = g(x) is a linear function, from the first two points [tex](x_1, y_1) = (-5,15)[/tex] and [tex](x_2, y_2) = (-2, 3)[/tex], we get:

[tex](y - 15) = \dfrac{3 - 15}{-2 - (-5)} (x -(-5))\\\\y -15 = -\dfrac{12}{3} (x+5)\\\\y-15 = -4x - 20\\y = -4x - 5[/tex]

Checking if really y = g(x) is linear or not by evaluating it on its rest of the points:

[tex]y = g(2) = -4(2) -5 =-8-5 = -13\\\\y = g(5) = -4(5) -5 = -25[/tex]

These outputs matches with the table output, so we can take:

[tex]g(x) = -4x -5[/tex]

Its y-intercept is:

[tex]y = g(0) = -4(0) -5 = -5[/tex]

The distance between 3 and -5 on the y-axis is the absolute difference between these values of y, evaluated as:

[tex]d = |3 - (-5)| = |8| = 8[/tex] units.

Thus, the distance between the y-intercept of the function f(x)=3(2)ˣ and the y-intercept of the function g(x) for this case is given by: Option C: 8 units.

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Answer:

Step-by-step explanation:

it is 30-60-90

triangle.

so smaller side is half the hypotenuse.

x=(10√3)/2=5√3

if hypotenuse=10√5,then x=10√5/2=5√5

Answer:

48 centimetres wide

Step-by-step explanation:

you are at 3

you enlarge it and you get 6

second enlargement you get 12

third enlargement you get 24

fourth enlargement you get 48

if you times 3 by 4 you are not doubling the width each time you enlarge the photo

so it is easier to double it each time you enlarge it

Answer:

1/12

Step-by-step explanation:

Answer:

≈ 36.9

Step-by-step explanation:

You are given the opposite and adjacent side, leading you to use tan. However, since you're trying to find the angle measurement, you use the inverse of tan: [tex]tan^-1[/tex]

Set it up like this:

[tex]tan^-1 ( \frac{24}{32})=?[/tex]

When you solve, you get:

36.86

Round to the nearest tenth:

36.9

Answer:

B

Step-by-step explanation:

Let's start by converting each of these into decimal form.

[tex]\pi\approx 3.1416\\\sqrt{10}\approx 3.1623\\\dfrac{22}{7}\approx 3.1428[/tex]

Therefore, the correct order is:

[tex]3.14, \pi, \dfrac{22}{7}, \sqrt{10}[/tex]

or answer choice B. Hope this helps!

Answer: B. 3.14, π, 22/7, square root of 10

Step-by-step explanation:

To order the numbers in increasing order, first solve for each to get the numbers into their simplest forms.

Pi can be estimated to 3.1415, which is already bigger than 3.14.

Knowing this, you can eliminate choice A, which lists pi as less than 3.14.

Dividing 22 by 7 gets you ~3.142, which is greater than both pi and 3.14.

Knowing this, you can eliminate choices C and D, which list 22/7 as less than 3.14 and pi.

The correct answer choice is B.

Answer:

Step-by-step explanation:

e

Answer:

the third one

Step-by-step explanation:

Answer:

-24x³

Step By Step:

(-8x) · 3x²

-8x · 3x²

-8 · 3x · x²

-24x · x²

-24x³

The Answer would be -24x³

Hope This helps∞

Give Brainliest if you please

Answer:

350 girls.

5 unit represents 250 girls and the 7 unit represents 350 boys

Step-by-step explanation:

Add 5+7 =12

600÷12=50

RATIO OF BOYS TO GIRLS IS 7:5   SO

50x5=250 GIRLS.

7*50=350

so 5 unit represents 250 girls and the 7 unit represents 350 boys.

Answer:7

Step-by-step explanation:

Answer:

Step-by-step explanation:

-2m - 5n = 7m - 3n

-9m - 5n = -3n

-9m = -2n

m = 2n/9

g(m)= 2n/9

-9/2m is the answer.

-2m-5n=7m-3n

-2n=9m

n=9m/-2

so -9/2m

hope this helps :)

Answer:

65 degrees

Step-by-step explanation:

First, solve for the unknown angle( not the y's).

the angle 130 is supplementary to that angle so we will use an equation to solve it.  (supplementary means it adds up to 180 degrees)

x+130=180

 -130  -130

x      =   50           so, 50 is the measure of the interior angle

Now we have to use another equation to solve for y:

50+2y=180

-50      -50

2y      =  130

/2         /2

y     = 65

Thus, y is 65

So the right answer is 65 degree

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

C.

Step-by-step explanation:

easiest way to find is to look at "X value", and sub. 2 then the "Y value" and add 3

hope this helps :)

Answer:

8 units

(would really appreciate the brainliest)

Step-by-step explanation:

A lies on the same heightas B, wich makes it easy because you can ignore the y-Information (the second information in each bracket is the same).

so their distance is just the length of the line from -4 to 4

Answer:

8 units

Step-by-step explanation:

Answer:

arithmetic

Step-by-step explanation:

Geometry is shapes ...

collect the like terms

2x + x -2x = 5/2+4 +5/8

X = 57/8

Answer:

g(q) = [tex]\frac{5q}{8}[/tex]

Step-by-step explanation:

Given

- 7q + 12r = 3q - 4r

Rearrange making r the subject

Add 7q to both sides

12r = 10q - 4r ( add 4r to both sides )

16r = 10q ( divide both sides by 16 )

r = [tex]\frac{10q}{16}[/tex] = [tex]\frac{5q}{8}[/tex] , thus

g(q) = [tex]\frac{5q}{8}[/tex]

Answer:

a circle

since you cut a sphere in half the two faces will be circles  

Answer:

61

Step-by-step explanation:

99 minus 38

Answer:

61 meters

Step-by-step explanation:

To find this answer, you need to subtract the length with trees from the total length of the course. With this information, you get an equation that looks something like x + 38 = 99, with x being the length of the course without trees.

Subtract 38 from both sides:

x + 38 = 99

  - 38   - 38

x = 99 - 38

Simplify:

x = 61

Answer:

its b

Step-by-step explanation:

Answer:

272 ft^2

Step-by-step explanation:

The lower rectangle is 10 ft by (12+8) or 20 ft

The area is

A = l*w = 10 *20 = 200 ft^2

The upper rectangle is 8 ft by (19 -10) or 9 ft

A = l*w = 8* 9 = 72 ft^2

The total area is 200 + 72 = 272

Answer:

you divide 144 by 90: 144/90, and get 1.6, 160% markup, or just 1.6 markup

Step-by-step explanation:

Answer:

$144

Step-by-step explanation:

First you do .60 × 90 to get how much he added onto the original price. That was $54, then I added the original price. So I did 90 + 54 and got $144. Hope this helps! If you are still confused please comment!

Answer:

9408,Is the only number that can divide into the same number to get exactly down to 1.

Step-by-step explanation:

Answer:

The graph of the function passes through the point (100; 113).

Step-by-step explanation:

In order to calculate if the graph of the function passes through the point or not, we need to insert the point's coordinates in the function and check if the equation is valid or not, if it is, then the graph passes through them.

[tex]y(x) = 1.2*x - 7\\y(100) = 1.2*100 - 7\\y(100) = 120 - 7 \\y(100) = 113[/tex]

Which is equal to the "y" coordinate of the point, therefore the graph of the function passes through the point (100;113).

Answer:

yes

Step-by-step explanation:

Answer:

The answer is ( -1, 2) and ( 4,7 )

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2 - 2x - 1 = x + 3

x^2 - 3x - 4 = 0

(x - 4)(x + 1)= 0

x - 4 = 0

x = 4

y= 4^2 - 2(4) - 1 = 16-8-1= 8-1= 7

(4, 7)

x + 1 = 0

x = -1

(-1)^2 - 2(-1)-1= 1+2-1=3-1=2

(-1,2)

answer is C

Answer:-13

Step-by-step explanation:-5-4-1+-3

Answer:

3y+1

Step-by-step explanation:

(4y-1)-(y-2)

= 4y-1-y+2

=3y+1

Answer:

directness

Step-by-step explanation:

The solution of equation for x is,

⇒ x = 4

We have to given that;

The equation is,

⇒√ (3x + 4) = 4

Now, We can simplify as;

⇒ √3x + 4 = 4

Take square both side,

⇒ 3x + 4 = 4²

⇒ 3x + 4 = 16

Subtract 4 both side,

⇒ 3x = 16 - 4

⇒ 3x = 12

Divide by 3;

⇒ x = 12/3

⇒ x = 4

Thus, The solution of equation for x is,

⇒ x = 4

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Answer:

7,-5,-11

Step-by-step explanation:

-3(-4)-5=7

-3(0)-5=-5

-3(2)-5=-11