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Vlad [161]
4 years ago
13

X-4y=-18 Graphing Linear Equations in 2 Variables

Mathematics
1 answer:
lara31 [8.8K]4 years ago
6 0
Well it think it 16 your welcome
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Please show me how to COMPLETELY factor this expression.
ss7ja [257]
The answer is
(z+14)(z-3)
6 0
3 years ago
Consider two functions f and g on [1, 8] such that integral^8_1 f(x) dx = 9, integral^8_1 g(x) dx = 5, integral^8_5 f(x) dx = 4,
Gelneren [198K]

I'll abbreviate the definite integral with the notation,

I(f(x),a,b)=\int_a^bf(x)\,\mathrm dx

We're given

  • I(f,1,8)=9
  • I(g,1,8)=5
  • I(f,5,8)=4
  • I(g,1,5)=3

Recall that the definite integral is additive on the interval [a,b], meaning for some c\in[a,b] we have

I(f,a,b)=I(f,a,c)+I(f,c,b)

The definite integral is also linear in the sense that

I(kf+\ell g,a,b)=kIf(a,b)+\ell I(g,a,b)

for some constant scalars k,\ell.

Also, if a\ge b, then

I(f,a,b)=-I(f,b,a)

a. I(2f,1,5)=2I(f,1,5)=2(I(f,1,8)-I(f,5,8))=2(9-4)=\boxed{10}

b. I(f-g,1,8)=I(f,1,8)-I(g,1,8)=9-5=\boxed{4}

c. I(f-g,1,5)=I(f,1,5)-I(g,1,5)=\dfrac{I(2f,1,5)}2-I(g,1,5)=10-3=\boxed{7}

d. I(g-f,5,8)=I(g,5,8)-I(f,5,8)=(I(g,1,8)-I(g,1,5))-I(f,5,8)=(5-3)-4=\boxed{-2}

e. I(7g,5,8)=7I(g,5,8)=7(5-3)=\boxed{14}

f. I(3f,5,1)=3I(f,5,1)=-3I(f,1,5)=-\dfrac32I(2f,1,5)=-\dfrac32(10)=\boxed{-15}

4 0
3 years ago
You’re having dinner at a restaurant that serves 5 kinds of pasta (spaghetti, bow ties, fettuccine, ravioli, and macaroni) in 4
Rama09 [41]
There are five different pasta choices. The probability for you to pick one of them is: 1/5
There are four different flavors. The probability for you to pick one of them is: 1/4

The probability for you to pick both bow ties and cheese sauce is the same as picking ravioli and olive oil, or spaghetti and meat sauce.
The probability is: 1/5 x 1/4 = 0.05

Read more on Brainly.com - brainly.com/question/9230316#readmore
8 0
3 years ago
Read 2 more answers
Evaluate x Square-4x for x=-7
Ivahew [28]
ANSWER:

(-7)^2-4*(-7)
=49+28
=77

Hope it helps u! :)
7 0
3 years ago
Read 2 more answers
A box is supposed to have 150 folders in it. Clare counts only 147 folders in
VikaD [51]

Answer:

it's a 0.02% error.

147/150= 0.98% of the folders are there, making the error 0.02%

Step-by-step explanation:

5 0
3 years ago
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