Consider the function f(x) = 3x and a translation of f(x) named g(x). Janeen created a table for select values of x. Her table is shown below.
A 3-column table has 4 rows. Column 1 is labeled x with entries 0, 1, 2, 3. Column 2 is labeled f (x) with entries 1, 3, 9, 27. Column 3 is labeled g (x) with entries 3, 9, 27, 81.
What can be concluded about the relationship between the two functions? Check all that apply.
The functions have the same base.
The functions have the same range.
The functions have the same exponent.
The functions have the same domain.
g(x) is a translation left 1 unit.
g(x) is a translation right 2 units.
g(x) is a translation up 2 units.

The amount after 3 years will be $ 1509.9.

To learn more, check below explanation.

If the amount P is invested at the rate of r% for n years.

Then, the amount after n years is computed as;

Given that, Principal = 1250 , r = 6.5% and n = 3 years.

                   [tex]A=P(1+\frac{r}{100} )^{n}\\ \\A=1250(1+\frac{6.5}{100} )^{3} \\\\A=1250*(\frac{106.6}{100} )^{3}\\ \\A=\$ 1509.9[/tex]

Hence, the amount after 3 years will be $ 1509.9

Learn more about the compound interest here:

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Answer:

80/8=10

Step-by-step explanation:

Answer:

Please check the attached graph.

Step-by-step explanation:

The slope-intercept form of the line equation

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

where

Given the equation

[tex]y = 4x[/tex]

Here:

x represents the distance x the tortoise 'runs' in miles for y miles the hare runs.

comparing with the slope-intercept form of the line equation

The graph of the function is attached below.

As the hare runs 16 miles, so

y = 16 miles

so substitute y = 16 in the equation

y = 4x

16 = 4x

switch sides

4x = 16

divide both sides by 4

4x/4 = 16/4

x = 4

Therefore, when the hare runs 16 miles, the tortoise will run only 4 miles.

Please check the attached graph.

Step-by-step explanation:

the answer would be the last one

cuz if u do -4(-4) it equals 20

and if u do -5+20 it equals 15

and 15>10

Answer:

The inequality -5 - 4w > 10 is the TRUE option.

Step-by-step explanation:

Given

w = -4

To determine

We have to determine which inequality is true

Let us substitute w = -4 one by one in all the inequalities

2 - w < -3

substitute w = -4

2 - (-4) < -3

2+4 < -3

6 < -3

FALSE!

Reason: 6 can not be less than -3

-3 - 5w < -14

substitute w = -4

-3 - 5(-4) < -14

-3 + 20 < -14

17 < -14

FALSE!

Reason: 17 can not be less than -14

1- 2w > 13

substitute w = -4

1 - 2(-4) > 13

1+8 > 13

9 > 13

FALSE!

Reason: 9 can not be greater than 13

-5 - 4w > 10

substitute w = -4

-5 - 4(-4) > 10

-5 + 16 > 10

11 > 10

TRUE!

Reason: 11 is indeed greater than 10.

Thus, the inequality -5 - 4w > 10 is the TRUE option.

Answer: $1.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -⁵/₂

(-4, -2)    ⇒   x₀ = -4,  y₀ = -2

The point-slope form of the equation:

y + 2 = -⁵/₂(x + 4)

So:

y + 2 = -⁵/₂x - 10         {subtract 2 from both sides}

y = -⁵/₂x - 12             ←  the slope-intercept form of the equation

Answer:

[tex]\frac{5}{16}[/tex]

Answer:

1 is the answer

Step-by-step explanation:

Answer:

Not parallel.

Step-by-step explanation:

It would be parallel if its slope is also 3.

Calculate slope of line AB = y2 - y1 / x2 - x1

8 - (-2) / 3 - (-1) =

8 + 2 / 3 + 1 = 10/4 = 2.5

2.5 =/= 3, it wouldn't be parallel.

The line AB passing through the points A(- 1, - 2) and B(3, 8) is not parallel to a line having a slope of 3.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, Line AB passes through the points A(-1, -2) and B(3, 8).

We know lines parallel to each other have the same slope.

Therefore, The line passes through the points  A(-1, -2) and B(3, 8).

Slope(m) = (8 + 1)/(3 + 1).

Slope(m) = 9/4.

So, The AB is not parallel to a line having a slope of 3.

learn more about lines and slopes here :

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Answer:

The area of the figure is 97 square inches

Step-by-step explanation:

In the given figure

To find the area of the figure we can find the area of the big rectangle with dimensions 7 inches and 19 inches and subtract from it the area of the small rectangle with dimensions 4 inches and 9 inches

∵ The area o the rectangle = length × width

∵ The dimensions of the big rectangle are 7 inches and 19 inches

∴ The width = 7 inches

∴ The length = 19 inches

→ Substitute them in the rule of the area above

∵ The area of the big rectangle = 19 × 7

∴ The area of the big rectangle = 133 inches²

∵ The dimensions of the small rectangle are 4 inches and 9 inches

∴ The width = 4 inches

∴ The length = 9 inches

→ Substitute them in the rule of the area above

∵ The area of the small rectangle = 9 × 4

∴ The area of the small rectangle = 36 inches²

→ Subtract the area of the small rectangle from the area of the big

   rectangle to get the area of the green figure

∵ The area of the figure = the big area - the small area

∴ The area of the figure = 133 - 36

∴ The area of the figure = 97 inches²

∴ The area of the figure is 97 square inches

Answer:

w = (t - 3)/7

Step-by-step explanation:

..............

Answer:

49

Step-by-step explanation:

cos(x)=31/47

x=cos^-1 (31/47)

Step-by-step explanation:

use the law of cosine for right triangles cos(θ)= adjacent/ hypotenuse

cos(θ)=31/47=.659

θ=inverse cosine of .659

θ=48.73

Answer:

$985

Step-by-step explanation:

$5400 x .025 = $135

$135 + $850 = $985

Answer:

Test Score vs Student Height

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

SINCE Y VARIES DIRECTLY WITH X, WE USE THE FORMULA

y=kx; k representing the variable change, y= 7.5, x=5

> y=kx

>7.5= k(5) > 7.5= 5k

>k= 7.5/5    (divide to get the k)

k= 1.5

NOW REPLACE THE NEW VALUES OF X AND K AS THE VARIABLE CHANGE, TO FIND THE VALUE OF Y

>y=kx       ; k=1.5 and x=15    y=?

>y= (1.5)(15)

>y=22.5

the value of y is 22.5 when x is 15

Answer:

1) 6 (9x - 5)

2) 4 (1 + 6)

Step-by-step explanation:

1.

54x - 30

The greatest common factor is 6, hence take out 6

6 (9x - 5)

2.

4 + 24

The greatest common factor is 4, take out 4

4 (1 + 6)

*I am not simplifying this because as per what is given, I am unsure if one of these numbers is actually a coefficient.

Answer:

9 flowers per vase

Step-by-step explanation:

36 divided by 4 is 9

can i get brainliest plz

Answer:

32 pounds of almonds

Step-by-step explanation:

Let the number of pounds of almond be a while that of cashews be c

we want to make a total of 80 pounds

Thus;

a + c = 80 ••••••••(i)

Furthermore;

Let us work with the costs

Costs of a pounds of almonds will be ;

a * 2.5 = 2.5a

cost of c pounds of cashews

c * 3.25 = 3.25c

Total cost at which they sell will be 80 * 2.95 = 236

Thus;

3.25c + 2.5a = 236 •••••(ii)

From i, c = 80-a

Put this into ii

3.25(80-a) + 2.5a = 236

260-3.25a + 2.5a = 236

0.75a= 24

a = 24/0.75

a = 32

Answer:

Step-by-step explanation:

here you go mate'

step 1

11 = y-6  equation

step 2

11+6=y-6+6  add 6 to the sides

answer

y=17

can i get brainliest if you dont mind?

Answer:

Choice D. 17

Step-by-step explanation:

For this we have to add 6 to both sides since we have to do the inverse (opposite) of what it says. So since it's - 6 we do + 6. Then we will get y = 17. Also when you add a negative and a positive they will no matter what number they are they will always cancel each other out, or in other words the become 0.

11 = y - 6

+6      +6

 17 = y

Answer:

First, let's do a fast definition of a function.

A function is a relation that maps elements from a given set (the domain, is the set of the inputs, usually represented with the variable x) into elements of another set (the range, which is the set of the outputs, usually represented with the variable y)

The functions can map each element of the domain into only one output.

Now, let's solve the problem:

For the vertical table, we can see that the values of x are:

{1, 2, 3} This is the domain.

And the values of y are:

{4, 6, 8} This is the range.

This relation represents a function.

For the horizontal table, we can see that:

The inputs are:

{4, 5}  (notice that the 4 is two times there) This is the domain.

And the outputs are:

{2, 3, 4} This is the range.

Here we can see that this relationship maps the input "4" into two different outputs, then this is not a function.

2)  We want to know if the graph represents a function.

The first thing we can see is that if we draw a vertical line in some places, the line will touch the graph at two different points. This means that one single value of x can be mapped into two different values of y.

And as we already said, a function maps each input into only one output, then the graph does not represent a function.

Answer:

180 yards.

Step-by-step explanation:

80% of 225 = 180.

Answer:

Max mowed 180 Yards

Step-by-step explanation:

80 percent of 225 is 180

Answer:

76

Step-by-step explanation:

A full triangle is 180 *always remember

180-153=27

so r is 27

180-77-27=76

or you could do

77+27+x=180

104+x=180

x=180-104

x=76

Answer:

I don't believe they are similar. AA would be if the angles are equal or proportional. There would be lines indicating the sides to be equal, so not SSS theorem. For SAS, there's no equal sides or angles. So my best bet would be not similar

Answer:

11miles

Step-by-step explanation:

1mile≈1,61km

so 17/1,61=10,56≈11miles

Answer:

10.56 (rounded)

(whole number is 10.5633)

Step-by-step explanation:

1 kilometer = 0.62 miles (rounded)

Multiply it by 17

=10.56 (rounded)

(whole number is 10.5633)

For x/2 to be greater than or equal to 10, you must try out a few numbers.

If x = 20...

x/2 greater than or equal to 10

= 20/2 greater than or equal to 10

= 10 greater than or equal to 10.

So the answer for x is:

x = 20 or more

Hope this helps!!!