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Ilia_Sergeevich [38]
3 years ago
13

What are the coordinates of the x-intercepts of the graph of y = 2x2 + 6x – 20? A) (–5, 0) , (2, 0) . B) (5, 0) , (–2, 0) . C) (

–4, 0) , (10, 0) . D) (4, 0) , (–10, 0)
Mathematics
1 answer:
fomenos3 years ago
5 0
Y = 2 x² + 6 x - 20 = 2 ( x² + 3 x - 10 ) = 2 ( x² + 5 x - 2 x - 10 ) =
= 2 ( x ( x + 5 ) - 2 ( x + 5 ) ) = 2 ( x + 5 ) ( x - 2 )
x 1  = - 5,  x 2  = 2
Answer: A ) ( - 5, 0 ), ( 2, 0 ) 
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Help needed!!! Please
Sliva [168]

Answer:

<em>The correct option is:  C. x=6\sqrt{3}, y=12</em>

Step-by-step explanation:

The two angles of the triangle are given as 60° and 60°

As the sum of all three angle in any triangle is always 180°, so the measure of the third angle will be: 180°-(60°+60°) = 180° - 120° = 60°

Now each angle of the triangle is 60°, it means the triangle is equilateral.

The base of the triangle is given as 12. So, the length of each side will be 12.

That means, the value of y=12

Now in the left right triangle.....

Sin(60)=\frac{x}{y} \\ \\ \frac{\sqrt{3}} {2}=\frac{x}{12} \\ \\ 2x=12\sqrt{3} \\ \\ x=6\sqrt{3}

So, the value of x = 6\sqrt{3}

7 0
3 years ago
9 and 10 pls help :)
tatuchka [14]

Answer:

Question 9

Option A

Question 10

Option A

<h2>Please mark as brainliest for further answers :)</h2>

5 0
3 years ago
Suppose you take out a loan for $9,000, at 12% ordinary interest. If the amount of interest is $762.00, what is the time period?
DaniilM [7]
For the answer to the question above,
<span>Let's figure out the formula first
FV = PV(1+i/n)^(nt)
9762= 9000(1+0.12/12)^(12x)
9762= 9000(1.01)^12x
9762/9000=1.01^12x
1.08467=1.01^12x
ln1.08467/12 x ln1.01=0.681 years (8.17 months) same as my calculator
So,
0.681x360=
245.16 days is</span><span> the time period</span>
3 0
3 years ago
What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}?
tangare [24]

Answer:

{6,7,8,9,10}

Step-by-step explanation:

Solve the inequality using inverse operations.

3r\leq 4r-6\\3r-4r\leq -6\\-r\leq -6\\r\geq 6

This solution means values equal to or larger than 6 from the set are solutions. This means 6, 7, 8, 9, and 10 are the solution set.

8 0
3 years ago
1/x-2 graphed<br><br><img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx-2%7D" id="TexFormula1" title="\frac{1}{x-2}" alt="\fra
bearhunter [10]

Answer:

Step-by-step explanation:

The given equation is expressed as

y = 1/(x - 2)

We will assume values for x and determine the corresponding values for y. Therefore,

When x = 0, y = 1/(0 - 2) = - 1/2

When x = 1, y = 1/(1 - 2) = - 1

When x = 2, y = 1/(2 - 2) = 0

When x = 3, y = 1/(3 - 2) = 1

When x = 4, y = 1/(4 - 2) = 1/2

To plot the graph, we would choose a suitable scale for the x and y axis of the graph.

Let 2 cm represent 1 unit on the vertical axis.

Let 2 cm represent 0.5 unit on the x axis.

The graph is shown in the attached photo

4 0
3 years ago
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