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scoray [572]
3 years ago
15

If f(x) = 1 + x2 and g(x) = 1-, which is the rule of function (f-)(x)?

Mathematics
1 answer:
STatiana [176]3 years ago
8 0

Answer:

= -x^2 +x    

Step-by-step explanation:

(x) = 1 - x^2

g(x) = 1-x,

(f-g)(x) = 1-x^2 - ( 1-x)

Distribute the minus sign

          = 1-x^2 -1 +x

  Combine like terms

          = -x^2 +x    

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Please help! Find the equation of the line (graph provided in attached picture) Use exact numbers. y =_ x+_ ( _ represent blanks
Dennis_Churaev [7]

Answer:

y = \frac{3}{4}x - 2

Step-by-step explanation:

Equation of a line is given as y = mx + b

Where,

m = slope of the line = \frac{y_2 - y_1}{x_2 - x_1}

b = y-intercept, which is the value at the point where the line intercepts the y-axis. At this point, x = 0.

Let's find m and b to derive the equation for the line.

m = \frac{y_2 - y_1}{x_2 - x_1}

Use the coordinate pair of any two points on the line. Let's use the following,

(0, -2) = (x_1, y_1) => on the line, when x = 0, y = -2

(4, 1) = (x_2, y_2) => on the line, when x = 4, y = 1

Plug in the values and solve for m

m = \frac{1 - (-2)}{4 - 0}

m = \frac{1 + 2}{4}

m = \frac{3}{4}

b = -2 (the line intercepts the y-axis at this point)

Our equation would be =>

y = mx + b

y = \frac{3}{4}x + (-2)

y = \frac{3}{4}x - 2

5 0
3 years ago
What is the answer? Please help. Urgent.
MArishka [77]

Given:

A figure that contains a right triangular prism and cuboid.

To find:

The volume of the figure.

Solution:

The dimensions of cuboid are 16 in, 7 in and 3 in.

So, the volume of the cuboid is:

V_1=Length\times Width \times height

V_1=16\times 7 \times 3

V_1=336

The base of the prism is a right angle with base 3 in and height 5 in, and the length of the prism is 6 in. So, the base are of the prism is

B=\dfrac{1}{2}\times Base\times Height

B=\dfrac{1}{2}\times 3\times 5

B=7.5

The volume of a prism is:

V_2=Bh

Where, B is the base area and h is the height of the prism.

V_2=(7.5)(6)

V_2=45

The volume of combined figure is:

V=V_1+V_2

V=336+45

V=381

Therefore, the volume of the figure is 381 cubic in.

7 0
2 years ago
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klasskru [66]

answer:

1. second choice

2. i'm not sure about this one, but i know it's not the second choice :)

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4. second choice

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3 years ago
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What central tendency means to find the number that occurs most often?
Ghella [55]

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Step-by-step explanation:

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2 years ago
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Marysya12 [62]

Answer:

The answer would be 32

Step-by-step explanation:

equation would be: 6+2(12+1)

which then turns into 6+24+2

which equals 32

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3 years ago
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