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3 years ago

Find f(-1) if f(x) = -3x - 5 Choices A. -9 B. -8 C. -2 D. 2

Mathematics

2 answers:

Feliz [49]3 years ago

6 0

The correct answer is C

GenaCL600 [577]3 years ago

5 0

Answer:

Step-by-step explanation:

All you have to do is plug in -1 for x in the equation

f(-1)= -3(-1)-5

-3 times -1 = 3

Then you need to subtract 5 leaving it to be 3-5 = -2

Therefore the answer is C. - 2

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Which of the following equations is represented by a graph that is centered at (- 6, - 8) and includes the point (0, - 8) ?

Lera25 [3.4K]

Answer:

Step-by-step explanation:

As the center is (-6, -8) the 2 factors on the left will be (x + 6) and (x + 8) so it's either A or C.

When x = 0 y = -8 so substituting we have:

(0 + 6)^2 + (-8 + 8)^2 = 36 + 0 = 36.

So it's choice C.

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3 years ago

The base of a triangular prism is an isosceles right triangle with a hypotenuse of 72−−√ centimeters. The height of the prism is

Amiraneli [1.4K]

Answer:

Step-by-step explanation:

Surface area = lateral area + 2(area of base)

Lateral area = perimeter of base * height.

Because it is a isosceles right triangle, both sides are equal.

$x^{2} +x^{2}$ = 72

2 $x^{2}$ = 72. Divide both sides by 2

$x^{2}$ = 36. Square both sides.

x = 6.

So the perimeter of the base = 6 + 6 + $\sqrt{72}$ = 20.485281374239

Lateral area = 20.485281374239 * 7 = 143.397 $cm^{2}$

Area of base is (1/2)base * height.

(1/2)(6)(6) = 18

Using the surface area formula

surface area = 143.397 + 2(18) = 179.4 $cm^{3}$

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3 years ago

Line segment XY is a directed line segment beginning at point X(9, 2) and ending at point Y(-6, 2). Find the point Z on the line

lozanna [386]

Answer:

$(-\frac{3}{8},2)$

Step-by-step explanation:

Point Z divides XY into a 5:3 ratio, so Z is 5/3 of the way from X to Y. That ratio is k, found by writing the numerator of the ratio (5) over the sum of the numerator and the denominator (5 + 3 = 8). Our k value is 5/8. Now we will find the rise and run values which is the slope of this line segment:

$m=\frac{2-2}{-6-9} =\frac{0}{-15}$

Coordinates are found in this formula:

$Z(x,y)=(x_{1}+k(run),y_{1} +k(rise))$

Filling that in:

$Z(x,y)=(9+\frac{5}{8}(-15),2+\frac{5}{8}(0))$

which simplifies to

$Z(x,y)=(9-\frac{75}{8},2+0)$

which gives us the final coordinates of Z to be $Z(x,y)=(-\frac{3}{8},2)$

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3 years ago

In 2007, the U.S. population was 302 million people. In 2012, it was 314 million. What was the rate of population change per yea

allsm [11]

Answer:

314/302=1.039735 growth in US population in 5 years

(1.039735)^1/5=0.782% average growth in US population per year.

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3 years ago

jamal deposits 2,500 into each of two savings accounts.The first account has a 4% annual simple interest .Account two earns 5% a

nika2105 [10]

Answer:

$5,675

Step-by-step explanation:

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3 years ago