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3 years ago

Given the Functions.

Mathematics

1 answer:

Furkat [3]3 years ago

4 0

Answer:

The Answer is: A, B, and E.

Step-by-step explanation:

The given equations are:

f(x) = -2x + 8

g(x) = 6x - 10

Test each option:

a. g(-1) = 6(-1) - 10 = -6 - 10 = -16, True.

b. g(2) = 6(2) - 10 = 12 - 10 = 2, True

c. f(4) = -2(4) + 8 = -8 + 8 = 0, False

d g(6) = 6(6) - 10 = 36 - 10 = 26, False

e f(2) = -2(2) + 8 = -4 + 8 = 4, True

Hope this helps!! Have an Awesome day!!! :-)

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\Grace is 1.65 meters tall. At 3 p.m., she measures the length of a tree's shadow to be 25.35 meters. She stands 20.9 meters awa

Anika [276]

Grace's height and the tree's height are related by equivalent ratios

The height of the tree is 2.00 meters

Grace's height is given as:

$\mathbf{h = 1.65}$

When she measured the length of the tree's shadow, we have:

$\mathbf{l = 20.9m}$ --- the length of her shadow

$\mathbf{L = 25.35m}$ --- the length of the tree's shadow

The height (H) of the tree is calculated using the following equivalent ratio

$\mathbf{h:H = l:L}$

Substitute known values

$\mathbf{1.65:H = 20.9:25.35}$

Express as fractions

$\mathbf{\frac H{1.65} =\frac{25.35}{20.9}}$

Multiply both sides by 1.65

$\mathbf{H=\frac{25.35}{20.9} \times 1.65}$

Simplify

$\mathbf{H=2.00}$

Hence, the approximated height of the tree is 2.00 meters

Read more about equivalent ratios at:

brainly.com/question/13513438

5 0

3 years ago

Fill in the table so it represents a linear function.

castortr0y [4]

Answer:

2; 5; 8

Step-by-step explanation:

To fill in the table, we need to generate an equation to represent the relationship between x and y.

First, find the slope using the two pairs given, (5, -1) and (25, 11):

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{11 -(-1)}{25 - 5} = \frac{12}{20} = \frac{3}{5}$

m = ⅗.

Next, using the point-slope form, we can use a point/coordinate pair and the slope to derive an equation as follows.

$y - y_1 = m(x - x_1)$

Where,

$x_1 = 5, y_1 = -1$

m = ⅗.

Plug in the values

$y -(-1) = \frac{3}{5}(x - 5)$

$y + 1 = \frac{3}{5}(x - 5)$

$y + 1 = \frac{3x}{5} - 3$

Subtract 1 from both sides

$y + 1 - 1 = \frac{3x}{5} - 3 - 1$

$y = \frac{3x}{5} - 4$

Use the equation above to fill out the table by plugging each value of x into the equation to get the corresponding values of y for each x value.

✔️When x = 10:

$y = \frac{3x}{5} - 4$

$y = \frac{3(10)}{5} - 4 = 6 - 4$

$y = 2$

✔️When x = 15:

$y = \frac{3x}{5} - 4$

$y = \frac{3(15)}{5} - 4 = 9 - 4$

$y = 5$

✔️When x = 20:

$y = \frac{3x}{5} - 4$

$y = \frac{3(20)}{5} - 4 = 12 - 4$

$y = 8$

8 0

3 years ago

one week she had 38 coins, all of them dimes and quarters. when she added them up, she had a total of 6.95, how many dimes did s

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65 is the highest so yeah hope it helps

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GREYUIT [131]

The answer is mean absolute deviation

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3 years ago

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Last year, there were 400 students at Woodland Middle School. This year, the student population will increase by 5%. What will b

sashaice [31]

400×5%=20+400=420
four-hundred times five percent equals twenty add four-hundred and you get four hundred twenty

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4 years ago