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3 years ago

What is the slope-intercept form of 6x −2y−4 = 0? Can you please explain with some details?

2 answers:

7 0

$6x -2y-4 = 0 \\ \\the \ slope \ intercept \ form \ is : \\ \\ y= mx +b \\ \\6x -2y-4 = 0 \\ \\-2y =-6x+4\ \ /:(-2)\\ \\y=\frac{-6}{-2}x+\frac{4}{(-2)}\\ \\y=3x-2 \\ \\ the \ slope \ (the multiplier \ of \ x \ represented \ by \ m ) \ is \3\\ \\ and \ the \ y-intercept \ (the constantrepresented \ by \ b \ ) \ is \ -2$

Nat2105 [25]3 years ago

3 0

The slope intercept form is y=mx+b
-2y=-6x+4
divide both sides by -2
y=3x-2

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A stack of 6 gift boxes is 12.36 inches high. What is the height of 32 gift boxes?

Rom4ik [11]

Answer:

Step-by-step explanation:

Discussion

6 gift boxes are 12.36 inches high

32 gift box are x inches high

This is a proportion question. A proportion is made of 2 equal ratios. If you know 3 parts of the proportion, you can solve for the 4th,

6/32 = 12.36/x Cross multiply

6x = 12.36 * 32 Combine the right.

6x = 395.52 Divide by 6

6x/6 = 395.52/6

x = 65.92

Answer: 65.92

Note

Using a proportion saves you the trouble of finding 1 box and multiplying whatever number you get by 32

3 0

1 year ago

Cho tam giác ABC cân tại A, góc A=36 độ, BC=1 cm, phân giác CD. Hãy tính cos góc A

vova2212 [387]

Answer:

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7 0

2 years ago

Can you have a triangle with sides 6, 7, and 2?

Alexandra [31]

I believe yes, as long as a triangle has 3 sides it is indeed a triangle

5 0

2 years ago

Help solve algebra 15a=6a-90

AleksandrR [38]

15a =6a - 90

Move all the numbers with variables to one side

15a - (6a) = 6a -(6a) -90
9a = -90
9a/9 = -90/9
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Hope this helps

5 0

3 years ago

A researcher was testing the number of popcorn kernels that popped out of a mini bag of 100 kernels after being cooked for the s

Lelechka [254]

Answer:

The percentage of the bag that should have popped 96 kernels or more is 2.1%.

Step-by-step explanation:

The random variable X can be defined as the number of popcorn kernels that popped out of a mini bag.

The mean is, μ = 72 and the standard deviation is, σ = 12.

Assume that the population of the number of popcorn kernels that popped out of a mini bag follows a Normal distribution.

Compute the probability that a bag popped 96 kernels or more as follows:

Apply continuity correction:

$P( X\geq 96)=P( X>96+0.50)$

$=P( X>96.50)\\=P(\frac{X-\mu}{\sigma}>\frac{96.50-72}{12})\\=P(Z>2.04)\\=1-P(Z$

*Use a z-table.

The probability that a bag popped 96 kernels or more is 0.021.

The percentage is, 0.021 × 100 = 2.1%.

Thus, the percentage of the bag that should have popped 96 kernels or more is 2.1%.

3 0

3 years ago