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Anastaziya [24]
3 years ago
13

One number is seven less than two times another. If their sum is decreased by four, the result is one. Find the numbers.

Mathematics
1 answer:
allsm [11]3 years ago
5 0

Answer:

(2n + k) - 7

Step-by-step explanation:

1. Let ''a number'' be presented as n

2. ''twice a number'' → 2 n

3. ''twice a number and k'' → 2n + k

4. 7 less than twice a number → (2h + k) - 7

Google it!

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Type the correct answer in the box. Rewrite the quadratic equation in the form y = a(x − h)2 + k. y=5x^2-30x+95
S_A_V [24]

Answer:

y = 5(x - 3)^2 + 50

Step-by-step explanation:

The problem wants you to rewrite the quadratic equation in the vertex form y = a(x - h)^2 + k

You are given a quadratic equation in standard form (ax^2 + bx = c).

To convert from standard form to vertex form, there are two ways but I will show you the easier(?) way.

Use the formula x = -b/2a to find the x-value (h) of the vertex. Note that the vertex in "vertex form" is (h, k) which is virtually the same as (x, y).

In y = 5x^2 - 30x + 95, a = 5, b = -30, and c = 95. Substitute a and b into the formula -b/2a.

  • -(-30) / 2(5)

Two negative make a positive, so -(-30) becomes 30 and 2 times 5 is 10. Now we have:

  • 30/10 which simplifies down to 3.

The x (h) value of the vertex is 3. To find the y-value, substitute 3 into the original standard form equation.

  • y = 5(3)^2 - 30(3) + 95
  • = 5(9) - (90) + 95
  • 45 - 90 + 95
  • 50

The y (k) value of the vertex is 50. Now we have: (h, k) ⇒ (3, 50).

Substitute the values for h and k into the vertex form.

  • y = a(x - 3)^2 + 50

We still need the a-value, and this is easy to find. You take the a value from the original standard for equation (remember: <u>a</u>x^2 + bx + c)

So our a-value is 5. Now we can substitute this value into the vertex form and complete the question.

y = 5(x - 3)^2 + 50

6 0
3 years ago
3a-8a&gt;-20 help I suck at math ​
vazorg [7]

Answer:

Step-by-step explanation:

3a-8a>-20

-5a>-20

a>-20/-5

a>4

5 0
3 years ago
HELPPP. DO TODAY SO PLEASE HELP!!!!!!!!!!
oksian1 [2.3K]

Answer:

47/6cm or 7\frac{5}{6}cm

Step-by-step explanation:

FE= 2\frac{2}{3}

FA= 5/12

AB= 2/3

CD=2

ED=1\frac{1}{4}

BC= 5/6

All=47/6 or 7\frac{5}{6}

6 0
2 years ago
4e^2x-6=10<img src="https://tex.z-dn.net/?f=4e%5E2x-6%3D10" id="TexFormula1" title="4e^2x-6=10" alt="4e^2x-6=10" align="absmiddl
Taya2010 [7]
X=4/e^2 or X=0.541341
3 0
3 years ago
Read 2 more answers
Please help me if you can, just click on the photo and you’ll see the question
irinina [24]

Answer:

18.

Step-by-step explanation:

If you divide by something less than 1, it'll wind up being more than what it was before.

7 0
3 years ago
Read 2 more answers
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