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Mamont248 [21]
3 years ago
7

Y-4 = -2(-3+3) What is y?

Mathematics
2 answers:
Helga [31]3 years ago
8 0

Answer:

y=4

Step-by-step explanation:

Yakvenalex [24]3 years ago
8 0
Y-4 = -2(-3+3)

y-4 = -2 (0)

y-4 = 0

y = 4
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Suppose that we don't have a formula for g(x) but we know that g(3) = −5 and g'(x) = x2 + 7 for all x. (
True [87]
So it tells us that g(3) = -5 and g'(x) = x^2 + 7.

So g(3) = -5 is the point (3, -5)
Using linear approximation
g(2.99) is the point (2.99, g(3) + g'(3)*(2.99-3))

now we just need to simplify that
(2.99, -5 + (16)*(-.01)) which is (2.99, -5 + -.16) which is (2.99, -5.16)
So g(2.99) = -5.16 

Doing the same thing for the other g(3.01)
(3.01, g(3) + g'(3)*(3.01-3))
(3.01, -5 + 16*.01) which is (3.01, -4.84)
So g(3.01) = -4.84

So we have our linear approximation for the two. 

If you wanted to, you could check your answer by finding g(x).  Since you know g'(x), take the antiderivative and we will get 
g(x) = 1/3x^3 + 7x + C
Since we know g(3) = -5, we can use that to solve for C
1/3(3)^3 + 7(3) + C = -5 and we find that C = -35
so that means g(x) = (x^3)/3 + 7x - 35

So just to check our linear approximations use that to find g(2.99) and g(3.01)

g(2.99) = -5.1597
g(3.01) = -4.8397

So as you can see, using the linear approximation we got our answers as
g(2.99) = -5.16
g(3.01) = -4.84
which are both really close to the actual answer.  Not a bad method if you ever need to use it. 
5 0
3 years ago
Find the distance between the following points<br> R(-2, 3), S(3, 15)
aleksley [76]
Your answer will be: 13
5 0
2 years ago
A pitcher of punch holds 2 gallons if 9 people share the entire pitcher how much do that get a peice
kirza4 [7]
To find how much each person will get, you have to divide the amount available by the people. There are 2 ways I believe we can do this.
First way
Let's divide.
2÷9= 2/9

Each person would get 2/9 of a gallon if they shared it.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Second way
I believe it would be easier to convert this into cups. There are 16 cups per gallon.
16×2= 32
Let's divide that by 9.
32÷9= 3 5/9 cups per person.
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Each person would receive 2/9 of a gallon.
8 0
3 years ago
Find the point that is 3/4 of the distance P (-6,-5) to the point Q (2,7)
Zarrin [17]

Using proportions, the coordinates of the point 3/4 of the way from P to Q are: (0,4).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We want to find the coordinates of point M(x,y) 3/4 of the way from P to Q, hence the rule is given by:

M - P = 3/4(Q - P)

For the x-coordinate, we have that:

x + 6 = 3/4(2 + 6)

x + 6 = 6

x  = 0.

For the y-coordinate, we have that:

y + 5 = 3/4(7 + 5)

y + 5 = 9.

y = 4.

The coordinates are (0,4).

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

8 0
1 year ago
for an art project student needs to cover a shoebox with construction paper the shoe box has a length of 14 inches a width of 7
elixir [45]

Answer:

14×7×5=490 i am not sure the answer

4 0
2 years ago
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