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Contact [7]
3 years ago
15

What is the slope Intercept form of 8x-2y=-72

Mathematics
1 answer:
Anarel [89]3 years ago
7 0

Answer:

y = 4x + 36

Step-by-step explanation:

To find the equation in slope-intercept form, rearrange to <u>isolate "y"</u>.

Slope-intercept form is y = mx + b. The variables mean:

"x" and "y" - points that are on the line, or solutions.

"m" - the slope, how steep the line is

"b" - the y-intercept, when the line touches the y-axis

Isolate "y".

8x - 2y = -72

8x - 8x - 2y = -72 - 8x        Subtract 8x from both sides.

-2y = -72 - 8x        Left side : 8x - 8x = 0

\frac{-2}{-2}y = \frac{-72}{-2} - \frac{8}{-2}x        Divide both sides by -2

y = 36 - (-4)x        Simplify the fractions

y = 36 + 4x        Remember two negatives make a positive, add 4x.

y = 4x + 36        Put "4x" in front of 36. It looks like y = mx + b now.

"m" would be 4.

"b" would be 36.

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Simplify 4(6 - 2x) - 3(3 - 4x)<br><br> 4x + 15<br> 15 - 20x<br> 15 - 6x
Leto [7]

Answer:

4x+15 Is the answer

Step-by-step explanation:

4(6−2x)−3(3−4x)

Distribute:

=(4)(6)+(4)(−2x)+(−3)(3)+(−3)(−4x)

=24+−8x+−9+12x

Combine Like Terms:

=24+−8x+−9+12x

=(−8x+12x)+(24+−9)

=4x+15

8 0
3 years ago
Read 2 more answers
You have two biased coins. Coin A comes up heads with probability 0.1. Coin B comes up heads with probability 0.6.However, you a
Andrews [41]

Answer:

The probability that our guess is correct = 0.857.

Step-by-step explanation:

The given question is based on A Conditional Probability with Biased Coins.

Given data:

P(Head | A) = 0.1

P(Head | B) = 0.6

<u>By using Bayes' theorem:</u>

P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}

We know that P(B) = 0.5 = P(A), because coins A and B are equally likely to be picked.

Now,

P(Head) = P(A) × P(head | A) + P(B) × P(Head | B)

By putting the value, we get

P(Head) = 0.5 × 0.1 + 0.5 × 0.6

P(Head) = 0.35

Now put this value in P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)} , we get

P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}

P(B|Head) = 0.6 \times \frac{0.5}{0.35}

P(B|Head) = 0.857

Similarly.

P(A|Head) = 0.857

Hence, the probability that our guess is correct = 0.857.

7 0
4 years ago
6.
Degger [83]
Answer: True

---------------------------------

Work Shown:

Follow PEMDAS in reverse to solve for q
22q - 7 < 37
22q - 7+7 < 37+7 ... add 7 to both sides
22q < 44
22q/22 < 44/22 ... divide both sides by 22
q < 2
7 0
3 years ago
Please helpppp I need a answer asap
FinnZ [79.3K]

Answer:

280cm^2

Step-by-step explanation:

I am only looking for the shaded region which is 20 and 14 and 20*14=280

so my final answer will be 280cm^2

4 0
3 years ago
What is the explicit formula for this sequence?
lora16 [44]

Answer:

O D. an = 2(5)"

Step-by-step explanation:

Given the expression/sequence below

2, 10, 50, 250, 1250, ...

O D. an = 2(5)"

The explicit formula is C

a0= 2*5^0= 2

a1=2*5^1= 10

a2= 2*5^2= 50

a3=2*5^3= 250

a4=2*5^4= 1250

3 0
3 years ago
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