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Leokris [45]
3 years ago
8

What is the slope of y=-6x-2

Mathematics
1 answer:
Alexxandr [17]3 years ago
4 0

Answer:

-6 is the slope

Step-by-step explanation:

When and equation of a line is written in the form

y= mx+b,  m is the slope and b is the y intercept.

y = -6x -2

-6 is the slope  and -2 is the y intercept

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A basketball player made 40% of the shots she attempted.if she made 32 baskets, how many shots did she attend?
malfutka [58]
32 divde by 2 = 16 (50%) 
32 divde by 10 = 3.2 (10%) 
16 - 3.2 = 12.8 (40%)
3.2 times 4 = 12.4 (40%)

You would round the number to the nearest whole because you can't make a . of a shot. Therefore the answer would be that she made 12 shots.

Hope this helps! 
6 0
4 years ago
Explain how to evaluate f(g(0)).
alekssr [168]

Answer as a fraction:  17/6

Answer in decimal form: 2.8333  (approximate)

==================================================

Work Shown:

Let's use the two black points to determine the equation of the red f(x) line.

Use the slope formula to get...

m = slope

m = (y2-y1)/(x2-x1)

m = (4-0.5)/(2-(-1))

m = (4-0.5)/(2+1)

m = 3.5/3

m = 35/30

m = (5*7)/(5*6)

m = 7/6

Now use the point slope form

y - y1 = m(x - x1)

y - 0.5 = (7/6)(x - (-1))

y - 0.5 = (7/6)(x + 1)

y - 0.5 = (7/6)x + 7/6

y = (7/6)x + 7/6 + 0.5

y = (7/6)x + 7/6 + 1/2

y = (7/6)x + 7/6 + 3/6

y = (7/6)x + 10/6

y = (7/6)x + 5/3

So,

f(x) = (7/6)x + 5/3

We'll use this later.

---------------------

We ultimately want to compute f(g(0))

Let's find g(0) first.

g(0) = 1 since the point (0,1) is on the g(x) graph

We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.

We now use the f(x) function we computed earlier

f(x) = (7/6)x + 5/3

f(1) = (7/6)(1) + 5/3

f(1) = 7/6 + 5/3

f(1) = 7/6 + 10/6

f(1) = 17/6

f(1) = 2.8333 (approximate)

This ultimately means,

f(g(0)) = 17/6 as a fraction

f(g(0)) = 2.8333 as a decimal approximation

8 0
3 years ago
The distance from Earth to the sun is about 9.3 × 10 7th power miles.
AURORKA [14]

<u>Answer:</u>

The distance from earth to sun is 387.5 times greater than distance from earth to moon.

<u>Solution:</u>

Given, the distance from Earth to the sun is about 9.3 \times 10^{7} \mathrm{miles}

The distance from Earth to the Moon is about 2.4 \times 10^{5} \mathrm{miles}

We have to find how many times greater is the distance from Earth to the Sun than Earth to the Moon?

For that, we just have to divide the distance between earth and sun with distance between earth to moon.

Let the factor by which distance is greater be d.

\text { Now, } \mathrm{d}=\frac{\text { distance between sun and earth }}{\text { distance between moon and earth }}=\frac{9.3 \times 10^{7}}{2.4 \times 10^{5}}=\frac{9.3}{2.4} \times 10^{7-5}\\\\=3.875 \times 10^{2}=387.5

Hence, the distance from earth to sun is 387.5 times greater than distance from earth to moon.

5 0
3 years ago
Find the solutions of the inequality. Show your work.<br><br> 4b – 3 &gt; –1
Gwar [14]
So we have to find b we are going to try to isosiate b 
4b - 3 > -1 now we are going to isosiate the b so add 3 from both side and get 4b > 2
8 0
3 years ago
Consider the function, f(x) = 3x - 3. Determine the asymptote for the function f(x).
Natali [406]

Answer:

Y= 1

Step-by-step explanation:

Given the expression f(x) = 3x - 3.

To solve for the asymptote y

Firstly we need to solve for x

3x-3=0

3x=3

x= 3/3

x=1

Hence the asymptote of the function y=1

5 0
3 years ago
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