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Whitepunk [10]
3 years ago
15

Which equation is the slope intercept form of this equation?

Mathematics
1 answer:
solmaris [256]3 years ago
4 0

Answer:

<h2>A) y = -2x + 14</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

<em />

We have the equation i point-slope form.

Convert to the slope-intercept form:

y-4=-2(x-5)    <em>use the distributive property</em>

y-4=-2x+(-2)(-5)

y-4=-2x+10             <em>add 4 t oboth sides</em>

y-4+4=-2x+10+4\\\\y=-2x+14

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The graph of a quadratic function is shown on the grade.
goblinko [34]

Answer:

C ( h(x) = x^2 - 6x)

Step-by-step explanation:

Assuming that the function has a slope of 1 (none of the answer choices show a different slope, for all of the coefficients of x^2 are 1) the easiest way to solve this problem would be to find the function for the graph instead of inputting points from the graph into each of the function. (you could do that if you weren't sure.) To get a function from the graph, we first have to find the vertex and enter it into this vertex form function:

h(x) = (x - a )^2 - b

(there are other ways, but finding the vertex and putting the function in vertex form and then simplifying is the easiest way in this situation.) Looking at the graph, we can tell that the vertex of the function is (3, -9). Using the fact that h(x) = (x - a )^2 - b works for the vertex (-a, b), we can conclude that the function is

h(x) = (x - 3)^2 - 9.

This is not an answer! We have to simplify (x - 3)^2 - 9 to answer the question.  By squaring x - 3, we get:

x^2 - 6x + 9 - 9 =

x^2 - 6x.

Therefore, the answer is:

C (h(x) = x^2 - 6x).

5 0
3 years ago
Between what two consecutive integers does the square root of 155 lie?
strojnjashka [21]
We have to find what consecutive integers does the square root of 115 lie. 
100 < 115 < 121
10² < 115 < 11²
√115 ≈ 10.7238
Answer:
The square root of 115 lies between <span>C ) 10 and 1</span>1
3 0
3 years ago
Read 2 more answers
What is the area of sector GPHthe area of the sector GPH is __ square yards. in exact terms of pi
finlep [7]

The Solution:

Given:

We are required to find the area of the sector GPH.

The formula for the area of sector GPH is:

\begin{gathered} A=\frac{\theta}{360}\times\pi r^2 \\  \\ \text{ In this case,} \\ \theta=40^o \\ r=radius=15yards \\ A=area=? \end{gathered}

Substitute these values in the formula.

A=\frac{40}{360}\times\pi\times15^2=\frac{15^2\pi}{9}=25\pi\text{ }yards^2

Therefore, the correct answer is:

8 0
2 years ago
You need to buy some filing cabinets. You know that Cabinet X costs $10 per unit and requires six square feet of floor space. Ca
Alborosie

Answer:

i'm pretty sure it's d hope this helps


Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
I need to show the work:
denis23 [38]

9514 1404 393

Answer:

  19.25 miles

Step-by-step explanation:

Antoine's rate before lunch was ...

  (5.25 mi)/(3 h) = 1.75 mi/h

Then his rate after lunch was ...

  2×(1.75 mi/h) = 3.5 mi/h

The distance he hiked after lunch was ...

  distance = speed × time

  (4 h)×(3.5 mi/h) = 14 mi

The distance Antoine hiked is the total of his before-lunch distance and his after-lunch distance:

  5.25 mi + 14 mi = 19.25 mi

5 0
3 years ago
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