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TEA [102]
2 years ago
15

Write the equation of the line with the given slope and y-intercept

Mathematics
1 answer:
Harlamova29_29 [7]2 years ago
5 0

Answer:

See below

Step-by-step explanation:

Remember that y=mx+b:

1) y = -3x+7

2) y = 1/4x-5

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What second degree polynomial function has a leading coefficient of -2 and root 4 with a multiplicity of 2
OverLord2011 [107]

The second degree polynomial with leading coefficient of -2 and root 4 with multiplicity of 2 is:

p(x) = -2*(x - 4)*(x - 4) = -2*(x - 4)^2

<h3>How to write the polynomial?</h3>

A polynomial of degree N, with the N roots {x₁, ..., xₙ} and a leading coefficient a is written as:

p(x) = a*(x - x_1)*(x - x_2)*...*(x - x_n)

Here we know that the degree is 2, the only root is 4 (with a multiplicity of 2, this is equivalent to say that we have two roots at x = 4) and a leading coefficient equal to -2.

Then this polynomial is equal to:

p(x) = -2*(x - 4)*(x - 4) = -2*(x - 4)^2

If you want to learn more about polynomials:

brainly.com/question/4142886

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8 0
2 years ago
Chris shoots an arrow up into the air. The height (in feet) of the arrow is given by the function h(t) = - 16t2 + 64t + 112 wher
iris [78.8K]

Answer:

After 2 seconds

Step-by-step explanation:

First step is find an equation of velocity:

h(t)=-16t2+64t+112. The velocity function is derivated from position function, so we should do that.

v(t)= h´(t)= -16*2*t+64 ⇒ v(t)= -32t+64.

Now we know the arrow reach the maximun height when this velocity is equal to zero when t>0.

0=-32t+64 ⇒ 32t=64, split each member for 32 ⇒ \frac{32t}{32}=\frac{64}{32}

t=2. That means after 2 sec. the arrow reach the maximum height

6 0
3 years ago
Read 2 more answers
After two six sided dice are rolled, what is the probability that the dice faces add up to either a 4 or 6?
VladimirAG [237]

Answer:

hope this helps you

option B

Step-by-step explanation:

ecf-zutd-cpt.

8 0
3 years ago
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In △ABC, GE=27 in. What is the length of BE¯¯¯¯¯? Enter your answer in the box. 81 in. An acute triangle A B C is drawn. E is th
mariarad [96]
Recall that the centroid of a triangle (the point where the three medians intersect) divides each median into parts in the ratio 2:1, with the centroid being twice as close to the midpoint of a side as it is to the opposite vertex.

Thus, the ratio of segment EG to segment BG is 1 : 2

Therefore, given that segment EG = 27 in, then segment BG = 2(27) = 54 in. and segment BE = 27 + 54 = 81 in.
5 0
3 years ago
Read 2 more answers
What is the value of the expression below?<br> 64^4/6
bonufazy [111]

Answer:

64^(4/6) = 16

Step-by-step explanation:

8 0
3 years ago
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