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rosijanka [135]
3 years ago
8

How would I turn 8x- 4y = 16 into y=mx+b form​

Mathematics
2 answers:
masya89 [10]3 years ago
8 0

Answer:

y = 2x - 4

Step-by-step explanation:

First divide everything by 4:

2x - y = 4

Then rearrange the equation to get:

y = 2x - 4

ivolga24 [154]3 years ago
4 0

Answer: y=2x-4

Step-by-step explanation:

8x-4y=16 subtract 8x from both sides

-4y=-8x+16 now divide -4 by both sides

y=2x-4

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Real estate ads suggest that 75 % of homes for sale have​ garages, 29 % have swimming​ pools, and 13 % have both features. What
Vedmedyk [2.9K]

Answer: a) 91%  b) 9% c) 16%

Step-by-step explanation:

Let A be the event that homes for sale have​ garages and B be the event that homes for sale have​ swimming​ pools.

Now, given :P(A)=75\%=0.75

P(B)=29\%=0.29

P(A\cap B)=13\%=0.13

a) P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\\Rightarrow\ P(A\cup B)=0.75+0.29-0.13=0.91

Hence, the probability that a home for sale has a pool or a​ garage is 91%.

b) The probability that a home for sale has ​neither a pool nor a​ garage is given by :-

1-P(A\cup B)=1-0.91=0.09

Hence, the probability that a home for sale has ​neither a pool nor a​ garage is 9%.

c) The probability that a home for sale has a pool but no​ garage is given by :-

P(B)-P(A\cap B)=0.29-0.13=0.16

Hence, the probability that a home for sale has a pool but no​ garage is 16%.

8 0
3 years ago
Find the linear approximation of the function g(x) = 5 1 + x at a = 0. g(x) ≈ use it to approximate the numbers 5 0.95 and 5 1.1
34kurt

Differentiating the function

... g(x) = 5^(1+x)

we get

... g'(x) = ln(5)·5^(1+x)

Then the linear approximation near x=0 is

... y = g'(0)(x - 0) + g(0)

... y = 5·ln(5)·x + 5

With numbers filled in, this is

... y ≈ 8.047x + 5 . . . . . linear approximation to g(x)

Using this to find approximate values for 5^0.95 and 5^1.1, we can fill in x=-0.05 and x=0.1 to get

... 5^0.95 ≈ 8.047·(-0.05) +5 ≈ 4.598 . . . . approximation to 5^0.95

... 5^1.1 ≈ 8.047·0.1 +5 ≈ 5.805 . . . . approximation to 5^1.1

3 0
3 years ago
Please help lol I forgot how to do this
natka813 [3]

Answer: C

Step-by-step explanation:because he will need to write an inequity to represent the total number of hours he can work each week . SO HE can see if he is making more then 120$ per week . No problem thanks me later

4 0
3 years ago
Read 2 more answers
6 out of 18 in a fraction
Oksi-84 [34.3K]

Answer:1/3

Step-by-step explanation:1/3 is the simplified fraction for 6/18 by using the GCD or HCF method. Thus, 1/3 is the simplified fraction for 6/18 by using the prime factorization method.

7 0
3 years ago
Read 2 more answers
A race car travels 3.6 hours at an average speed of 205.7 miles per hour. How far does the car travel? Include unit of measureme
noname [10]

Answer:

The car traveled 740.52 miles

Step-by-step explanation:

The only thing you need to do in this problem is to multiply the hours by the rate (mph).

3.6 × 205.7 = 740.52

5 0
3 years ago
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