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3 years ago

Fx) = -3x² + 2x - 7, then f(-1) =

Mathematics

1 answer:

Fantom [35]3 years ago

3 0

Given:

The function is

$f(x)=-3x^2+2x-7$

To find:

The value of f(-1).

Solution:

We have,

$f(x)=-3x^2+2x-7$

Putting x=-1, we get

$f(-1)=-3(-1)^2+2(-1)-7$

$f(-1)=-3(1)-2-7$

$f(-1)=-3-9$

$f(-1)=-12$

Therefore, the value of f(-1) is -12.

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50 POINTS .....................

Alenkinab [10]

The option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

$\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}$

$\rm c = \dfrac{\sum y -m \sum x}{n}$

We have data shown in the picture.

Let's suppose the regression line is:

y = mx + c

Where m is the slope of the regression line and c is the y-intercept of the line.

We can calculate the value of m and c by using the formula.

After calculating, we get:

m = 0.4925

c = -22.26

Mus. Apt. = 0.49253(IQ score) - 22.26

Mus. Apt. = -22.26 + 0.4925(IQ score)

Thus, the option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.

Learn more about the line of best fit here:

brainly.com/question/14279419

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4 0

2 years ago

Rick bought 3 shirts for $18 each, 2 pair of socks for $3.99 a pair, and a pair of slacks, for $45.00. The sales tax is 8.5%. Ho

ivolga24 [154]

Price of 3 shirts=$18*3=$54
Price of 2 pair of socks=2*$3.99=$7.98
Price of a pair of slack=$45
Total amount- $54+$7.98+ $45-$106.98
Sales tax rate = 8.5%
8.5% of total amount-8.5% of $106.98=
(8.5/100)*106.98-9.0933
Total amount Rick paid=$106.98+9.0933=$116.0733
Regards

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3 years ago

Which expressions are equivalent to 1/36?

Kamila [148]

6^-2 , 6^3/6^5 , 6^-9 • 6^7. I believe these are the expressions that are equivalent to 1/36.

5 0

3 years ago

Read 2 more answers

. A building in the shape of a rectangular prism needs to be painted. Some facts about the building are shown below. The buildin

Softa [21]

Answer:

(2)(120)(80) + (2)(120)(50) - (4)(60)(5²)

Step-by-step explanation:

The lateral faces of the building are the 4 sides of the building consisting:

2 rectangles of 120 ft by 80 ft

Area of the two rectangular faces = (2)(120)(80)

And

2 rectangles of 120 ft by 50 ft

Area of the two rectangular faces = (2)(120)(50)

✔️Total lateral surface area of the building = (2)(120)(80) + (2)(120)(50)

Note: we are asked to find the expression that represents the total surface area that needs to be painted given that there are 60 windows on each lateral face of the building of the shape of a square with side lengths of 5 ft.

Therefore, the total lateral surface area of the building that will be painted = total lateral surface of the building - total area covered by the 60 windows on each face of the building

Surface area covered by 60 windows in the 4 lateral face of the building = (4)(60)(5²)

✅total lateral surface area of the building that will be painted = (2)(120)(80) + (2)(120)(50) - (4)(60)(5²)

6 0

2 years ago

Let ƒ(x) = 5x − l and g(x) = x2 - 1. find (f ○ g)(−7)

attashe74 [19]

Answer:

240

Step-by-step explanation:

5(x² - 1)

5 ((-7)² - 1)

5(49 - 1)

5 (48)

4 0

3 years ago

Fx) = -3x² + 2x - 7, then f(-1) =​

Fx) = -3x² + 2x - 7, then f(-1) =