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Lana71 [14]
3 years ago
12

Find the points of intersection (if any) of the graphs of the equations. Use a graphing utility to check your results. y = - x +

4, y = 4x - 2

Mathematics
1 answer:
fredd [130]3 years ago
7 0

Answer:

x = 1.2

See Attachment for Graph

Step-by-step explanation:

Given

y = -x + 4

y = 4x - 2

Required

Determine the point of intersection

To do this, we simply equate both expressions of y

i.e.

-x + 4 = 4x - 2

Solve for x

-x - 4x =  - 2 - 4

-5x = -6

Divide through by -5

x = \frac{-6}{-5}

x = \frac{6}{5}

x = 1.2

<em>Hence, the point of intersection is 1.2</em>

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DONE ASAP PLZ!!!! If the volume of a sphere is represented by the equation V= 4/3πr³. Solve for r. Show work to receive 25 point
den301095 [7]

Answer:

∛V / (4/3π) = r

Step-by-step explanation:

V = 4/3πr³

Try to isolate r if you want to solve for it.

So divide everything that's not r from the right side in order to move it to the left side of the equation.

V / (4/3π) = r³

Then since it is raised to the power of 3 , just cube root the other side in order to undo the exponent. This is so you can isolate r.

∛(V/(4/3π)) = r

3 0
3 years ago
A follow-up study will be conducted with a sample of 20 people from the 300 people who responded yes (support) and no (do not su
mafiozo [28]

Answer:

x = 20 * s / 300

Step-by-step explanation:

In this case, it is solved by means of a rule of three, that is, we know that 20 of 300 answered yes, but in the case of the strata sample, since it is a value that is not mentioned in the problem, we will assume it as " s "and the people who were selected as" x ". would:

20 x

300 s

Therefore, x:

x = 20 * s / 300

and thus they would give us the number of people that would be selected.

For example, if "s" were 240, it would be:

x = 20 * 240/300

x = 16

that is, 16 people would be selected

6 0
3 years ago
N/8= 25/40<br> N/20=85/100<br> 2/3=16/n<br> 5/6=25/n
4vir4ik [10]
N/8 = 25/40
40n = 25 * 8
40n = 200
n = 200/40
n = 5

n/20 = 85/100
100n = 85 * 20
100n = 1700
n = 1700/100
n = 17

2/3 = 16/n
2n = 16 * 3
2n = 48
n = 48/2
n = 24

5/6 = 25/n
5n = 25 * 6
5n = 150
n = 150/5
n = 30
3 0
4 years ago
Find the equation of the line
kirill115 [55]

Answer:

Step-by-step explanation:

The line is passing through 2 points: (0,9 and (3,3)

slope=(9-3)/(0-3)=-2

equation is : y-9=-2(x-0) or y=-2x+9

8 0
3 years ago
Can you please help me​
Slav-nsk [51]

Answer:

C.

Step-by-step explanation:

Hi there!

To answer this, we must set it up as

3x(2x^4-12x^2+7)

Now we just use the distributive property to solve.

this becomes 6x^5-36x^3+21x

I hope this helps!

4 0
3 years ago
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