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Harman [31]
3 years ago
13

Describe the error made when converting the equation to vertex form.

Mathematics
1 answer:
ale4655 [162]3 years ago
3 0

Answer:

adding 36

Step-by-step explanation:

should be:

y-27=x²-12x

y-27=x²-12x

+12 +12

y-15=x²+x

y-15=x³

+15 +15

y=15x³

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Write the slope-intercept form of the equation of the line through the given points.
Yuri [45]
<h3>Answer:  y = 3x+4</h3>

Slope = 3

y intercept = 4

========================================================

Explanation:

Let's find the slope.

m = \text{slope}\\\\m=\frac{\text{rise}}{\text{run}}\\\\m = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{7-4}{1-0}\\\\m = \frac{3}{1}\\\\m = 3

The slope is m = 3.

The y intercept is b = 4 due to the point (0,4). The y intercept <u>always</u> occurs when x = 0.

We'll then plug those m and b values into y = mx+b to get the answer y = 3x+4

-----------

As a way to check the answer, plugging x = 0 should lead to y = 4

y = 3x+4

y = 3*0+4

y = 0+4

y = 4

So that works out. Let's try x = 1. It should produce y = 7

y = 3x+4

y = 3*1+4

y = 3+4

y = 7

That works out also. The answer is fully confirmed.

4 0
3 years ago
3×-7 equivalent expressions A. -21 B. 4 C. -4 D. 21
USPshnik [31]

Answer:

-21

Step-by-step explanation:

3x7=21 and a negative x a positive is always negative

6 0
3 years ago
tabitha wants to find the total cost of a new tablet computer that has a origanall cost of $360 from a store having a 20% sales
Eva8 [605]

ANSWER: $432

STEP-BY-STEP EXPLANATION:

The cost of the tablet is $360

Then Tabitha has to pay 20% sales tax.

The tax is the prices times 20%  plus the original price

360 ( 1+ 0.2)

360 (1.2)

=432

8 0
3 years ago
A line passes through the points (3,14) and (7,18) Write a linear function rule in terms of x and y for this line, Help! I might
MrRissso [65]

Answer:

y=1x+11

Step-by-step explanation:

1. Find the slope of the given points

\frac{y2-y1}{x2-x1}

\frac{18-14}{7-3} =\frac{4}{4} =1

2. Pick any point to find the y-intercept

(3, 14)

x=3, y=14, m=1

3. Substitute

y=mx+b

14=1(3)+b

14=3+b

14-3=b

11=b

4. Write the linear function rule

y=mx+b

y=1x+11

3 0
2 years ago
Read 2 more answers
5 + 4x2 + 6 - 2x2 - 1 Insert parentheses in the equation so that it has a value of 19. Then show why your expression has a value
KIM [24]
5 (4x2) + 6 - (2x2) - 1
5 + 6 = 11, 4 x 2 = 8
2 x 2 = 4, 11 + 6 = 17
17 - 1 = 16
6 0
3 years ago
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