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3 years ago

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

Mathematics

1 answer:

V125BC [204]3 years ago

6 0

Answer:

-x^2 +x

Step-by-step explanation:

f(x) = 1-x^2

g(x) = 1 - x

f(x) - 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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What is the intersection of yhe sets A={2,3,5,7,11}and B={5,11,13,15,17}?

xxTIMURxx [149]

The intersection of two sets A and B is defined as the set composed by the elements appearing in both A and B.

So, the intersection is

$A\cap B = \{5,11\}$

Because all the other numbers do not belong to both sets:

2, 3 and 7 belong to A alone
13, 15 and 17 belong to B alone
5 and 11 belong to both A and B

4 0

3 years ago

Find the total volume of the composite figure below. Round to the nearest thousandth.

cestrela7 [59]

Answer:

The volume of the composite figure is approximately 3567.198 cubic feet.

Step-by-step explanation:

The composite figure consists in the combination of a right cone and a cuboid. The volume of the composite ( $V$ ), in cubic feet, figure can be determined by this expression:

$V = \frac{1}{3}\cdot \pi \cdot r^{2}\cdot h + w\cdot H \cdot l$ (1)

Where:

$r$ - Radius of the circle of the right cone, in feet.

$h$ - Height of the cone, in feet.

$w$ - Width of the cuboid, in feet.

$H$ - Height of the cuboid, in feet.

$l$ - Length of the cuboid, in feet.

If we know that $r = 10\,ft$ , $h = 10\,ft$ , $w = 20\,ft$ , $H = 7\,ft$ and $l = 18\,ft$ , then the volume of the composite figure is:

$V = \frac{1}{3}\cdot \pi \cdot (10\,ft)^{2}\cdot (10\,ft) + (20\,ft)\cdot (7\,ft)\cdot (18\,ft)$

$V = \left(\frac{1000\pi}{3} + 2520\right)\,ft^{3}$

$V \approx 3567.198\,ft^{3}$

The volume of the composite figure is approximately 3567.198 cubic feet.

3 0

3 years ago

Determine a series of transformations that would map Figure RR onto Figure SS.

nadezda [96]

Answer:

transformation

Step-by-step explanati

3 0

3 years ago

Use the original price and the markup to find the retail price.

Ber [7]

Answer:

$45.15

Step-by-step explanation:

When you are dealing with questions with percents in them—like this one—you have to turn the percent into a decimal. To make 7.5% into a decimal, you move the decimal point 2 spaces to the left. So, 7.5% is also 0.075.

Now, we have to use this formula for these types of questions:

x + x(y)= the price with tax (or markup)

So, we can substitute the variables.

42+42(0.075)=the retail price

42(0.075)=3.15

42+3.15=45.15

So, the retail price will be $45.15

5 0

3 years ago

What is the y-intercept of the line whose equation is y =1/2 x - 3?<br><br> 3<br> 1/2<br> -3

MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

y = mx +b

Here , m is the slope and b is the y-intercept

y = (1/2)x - 3

y-intercept = -3

5 0

2 years ago