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Dennis_Churaev [7]
4 years ago
15

Factor and show all work. 15^2y^2-x^3y+7

Mathematics
1 answer:
Ber [7]4 years ago
4 0
<span><span><span><span>(<span>15^2</span>)</span><span>(<span>y^2</span>)</span></span>−<span>x^3</span></span>+7</span><span>=<span><span><span><span>225<span>y^2</span></span>+</span>−<span>x^3</span></span>+7</span></span>
<span>=<span><span><span>−<span>x^3</span></span>+<span>225<span>y^2</span></span></span>+<span>7</span></span></span>
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Find the coordinates of the turning point of y = x^2 + 8x + 17
Amiraneli [1.4K]

Answer:

(-4 , 1)

Step-by-step explanation:

We know that the turning point of any parabola is in its vertex. The x of the vertex can be calculated with the formula:

x = -b/2a

In our case b = 8, a = 1, so:

x = - 8/2 = -4

We plug this value into our original equation and find the y of the vertex:

(-4)^2 + 8(-4) + 17 = 16 - 32 + 17 = 1

Vertex = (-4 ; 1)

6 0
3 years ago
Solve the equation. Check for extraneous solutions. <br> 2|7−7x|=2x+4
Vesna [10]

2|7 − 7x| = 2x + 4

|7 - 7x| = x + 2

7 - 7x = x + 2   or   7 - 7x = -(x + 2)

-8x = -5   or   7 - 7x = -x - 2

x = 5/8   or -6x = -9

x = 5/8   or   x = 9/6

x = 5/8   or   x = 3/2

To check for extraneous solutions, we check both solutions in the original equation.

<em>Check solution 5/8:</em>

2|7 - 7x| = 2x + 4

|7 - 7x| = x + 2

|7 - 7 * 5/8| = 5/8 + 2

|56/8 - 35/8| = 5/8 + 16/8

21/8 = 21/8

<u>Solution x = 5/8 works.</u>

<em>Check solution 3/2:</em>

2|7 - 7x| = 2x + 4

|7 - 7x| = x + 2

|7 - 7 * 3/2| = 3/2 + 2

|14/2 - 21/2| = 3/2 + 4/2

|-7/2| = 7/2

7/2 = 7/2

<u>Solution 3/2 also works.</u>

Answer: x = 5/8 or x = 3/2

5 0
3 years ago
Jeremy can stand on one leg for 3.8 minutes. Express that time in seconds.
Salsk061 [2.6K]

Answer:

He can stand on one leg for 228 seconds.

Step-by-step explanation:

You multiply the 3.8 seconds by 60.

So, 3.8 * 60 = 228

Hope this helps :)

7 0
3 years ago
Read 2 more answers
Tammy is buying a soft toy from a shop. The cost of the toy is 9 dollars and she also has to pay a sales tax that is 15% of the
JulsSmile [24]

Answer: I choose B and A.

Step-by-step explanation:

B because it shows how to divide and then multiplies x by 15 to get the answer. A because it divides 9 by 100 and then it shows x and 15 percent plus One more.

7 0
3 years ago
What is 3/8 of $36.48​
irakobra [83]

Answer:

$13.68

Step-by-step explanation:

An easy way to find 3/8 of $36.48​ is to find 1/8 first. To do this divide 36.48 by 8. This equals 4.56, then to find 3/8 multiply this by 3. Which equals $13.68. A faster way to do this is also to just multiply 3/8*36.48, which also equals $13.68.

6 0
3 years ago
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