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Alexxx [7]
3 years ago
10

Which shows the first equation written in slope-intercept form?1/2 (2y + 10) = 7x​

Mathematics
1 answer:
adelina 88 [10]3 years ago
7 0

Answer:

y = 7x - 5

Step-by-step explanation:

To write the equation in the slope intercept form, use the distributive property and rearrange the terms.  

1/2 (2y + 10) = 7x

y + 5 = 7x

y = 7x - 5

Hope this helped :)

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Which of the following is an arithmetic sequence?
masha68 [24]

Answer:

B

Step-by-step explanation:

And arithmetic sequence is a sequence in which the difference between each of the numbers are constant.

It is not A, because the difference between 3 and 9 is positive 6, and the difference between 9 and 81 is positive 72.

It is not C, because the difference between 4 and 1 is -3, and the difference between 1 and 4 is positive 3.

It is not D, because the difference between 2 and -2 is -4, and the difference between -2 and 2 is positive 4.

And it is B because the numbers maintain a constant difference between each other, which is -3.

3 0
3 years ago
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The dimensions of a rectangle are x+3 and x+4. The area of the rectangle is 72. Set up an equation that models this rectangle an
vodomira [7]

Answer: x = 5

Step-by-step explanation:

The area of a rectangle is the length times the width. Since the dimensions are given as functions of x, youre going to have to use FOIL to combine them, then set that answer equal to the given value of 72.

l*w = (x+3)*(x+4) = x^2 + 7x +12 = 72

Subtract 72 on both sides. There is a reason why we'll do this instead of subtracting 12. The quadratic formula will help us to solve for x.

x^2 + 7x - 60 = 0

Apply the quadratic formula

\frac{-7 (+/-)\sqrt{7^2-(4)*(1)*(-60} }{2*1} =\frac{-7(+/-)17}{2}

We cant have a negative x value because that would result in negative dimensions and a negative area, which is impossible in this context. So you want to add the 17 instead of subtracting it.

x = 5 and x = -12

An alternate way is just factoring the trinomial to:

(x+12)(x-5) = 0

3 0
3 years ago
Use the regression line for the data in the scatterplot to answer the question. On average, how many more goals will a player sc
kari74 [83]

Answer:

A. 1/2 of a goal

Step-by-step explanation:

Hello!

Given the options:

A. 1/2 of a goal

B. 3/4of a goal

C. 1 goal

D. 4/3 goals

In a linear regression analysis the interpretation of the slope is:

> The modification of the average of Y when X increases one unit.

Given the variables

Y: Goals scored in the tournament.

X: Hours of training.

To calculate the slope, you have to use the y-intercept and choose two pairs of (Y;X) values that correspond to a value on the line, for example (1;1.5) and (2;1.5).

You can calculate the slope as b= ΔY/ΔX

b= \frac{Y_2-Y_1}{X_2-X_1}= \frac{1.5-1}{1-0} = \frac{0.5}{1}= \frac{1}{2}

1st value (X₁;Y₁)= (0;1)

2nd value (X₂Y₂)= (1;1.5)

So the average goals a player scores for every additional hour of practice is 1/2.

I hope this helps!

4 0
3 years ago
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Need help for this question! For this graph, mark the statements that are true.
vagabundo [1.1K]

The correct answer are A. and B.

Good luck!!!

5 0
3 years ago
Least common multiple of 70, 60, and 50
goldenfox [79]
70 = 7 x 2 x 5
60 = 2² x 3 x 5
50 =  2 x 5²
 
LCM = 2 x 3 x 5 x 7  = 210

Answer: LCM = 210
3 0
3 years ago
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