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Nataliya [291]
2 years ago
12

Mathematics algebra sat

Mathematics
2 answers:
Leya [2.2K]2 years ago
8 0

Hey there!

2(p + 1) + 8(p - 1) = 5p

2(p) + 2(1) + 8(p) + 8(-1) = 5p

2p + 2 + 8p - 8 = 5p

10p - 6 = 5p

SUBTRACT 5p to BOTH SIDES

10p - 6 - 5p = 5p - 5p

SIMPLIFY IT!

5p - 6 = 0

ADD 6 to BOTH SIDES

5p - 6 + 6 = 0 + 6

CANCEL out: -6 + 6 because it gives you 0

KEEP: 0 + 6 because it helps solve for the p-value

5p = 0 + 6

5p = 6

DIVIDE 5 to BOTH SIDES

5p/5 = 6/5

CANCEL out: 5/5 because it gives you 1

KEEP: 6/5 because gives you the result of the p-value

SIMPLIFY IT!

p = 6/5

Therefore, your answer is: p = 6/5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

balu736 [363]2 years ago
7 0
P = -11
Hope this helps!

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Passes through the point (0,6) and has a slope of -2/3
Vadim26 [7]

Answer:

y=-\frac{2}{3}x + 6

Step-by-step explanation:

We are given that a line has a slope of -2/3 and passes through the point (0,6)

We want to write the equation of this line; there are 3 forms of the line that we can use:

  • Slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
  • Standard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be 0, and a cannot be negative
  • Slope-point form, which is y-y_1=m(x-x_1), where m is the slope and (x_1, y_1) is a point

All though while writing the equation of the line in any of these ways is acceptable, the most common way is to write it in slope-intercept form, so let's do it that way.

As we are already given the slope, we can immediately substitute m with that value.

Replace m with -2/3:

y = -2/3x + b

Now we need to find b.

As the equation passes through the point (0, 6), we can use it to help solve for b.

Substitute 0 as x and 6 as y.

6 = -2/3(0) + b

Multiply

6 = 0 + b

Add

6 = b

Substitute 6 as b.

y = -2/3x + 6

Topic: finding the equation of the line

See more: brainly.com/question/27645158

8 0
1 year ago
Find the value of x for which the graph of y = 3x^2 - 8x + 7 achieves its minimum y-value.​
gulaghasi [49]

Answer:

<h3>The y value achieves its minimum at x = 4/3</h3>

Step-by-step explanation:

Given the graph of y to be 3x² - 8x + 7, to get the value of x for which the graph function achieves its minimum y value, we need to find its turning point first.

At the turning point, dy/dx = 0

Given y = 3x² - 8x + 7

\frac{dy}{dx} = 6x-8\\ at\ turning\ point\ 6x-8 = 0

6x = 8\\x = \frac{8}{6}\\ x =\frac{4}{3}

The y value achieves its minimum at x = 4/3

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3 years ago
Jacob attempted the third problem above but when checking his work realized he made a mistake. Identify what Jacob’s mistake was
Sloan [31]

Answer:

When solving, Jacob did not distribute properly.

Explanation:

Let's talk about 5(x + 2). The correct distribution would be 5x + 10. Jacob distributed 5 into x correctly and got 5x, however he did not distribute the 5 into 2 properly. It should have been 10, however it stayed as 2.

Jacob should be more careful when distributing, and make sure to distribute into EVERY term inside the parentheses.

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