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Sphinxa [80]
4 years ago
14

Solve the quadratic equation for x. What is one of the roots? (x + 6)^2 = 49

Mathematics
2 answers:
Aneli [31]4 years ago
5 0

Answer:

Solve for a.

(a+6)2=49

 −13 and 1

−1 and 13

−36√ and 36√

−43−−√ and 43−−√

your answer would be -13 and 1

stich3 [128]4 years ago
3 0

Answer:

x equals -1 and it also equals -13. They are both considered the roots.

Step-by-step

  1. (x+6)^2= 49    to get rid of the exponent square root each side of the equation.
  2. (x+6)= √49     Find square root of 49.
  3. (x+6)= ±7        It could be positive 7 or -7 because both of them squared equal 49. Now solve for each possible equation, (x+6)= 7 and  (x+6)=-7.
  4. (x+6)=7  subtract 6 from each side.
  5. x= 1
  6. (x+6)=-7  Subtract 6 from each side.
  7. x=-13
  8. So the answers are -13 and 1.

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svlad2 [7]

Answer:

|x - 4| ≤ 0.3

Step-by-step explanation:

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Maximum variation, x = 0.3

Hence, the lowest width position based on actual width and possible variation is :

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3.7 ≤ x ≤ 4.3

7 0
3 years ago
Find the slope of the line that passes through (10,3) and (3,12).
Gnoma [55]

Answer:

-9/7

Step-by-step explanation:

slope \: of \: line  \\  \\ =  \frac{12 - 3}{3 - 10}  \\  \\  =  \frac{9}{ - 7}  \\  \\  =   - \frac{9}{7}

5 0
3 years ago
If f(x) = x2 - 2x and g(x) = 6x + 4 for which value of x does (t +g)(x)=0​
Vinil7 [7]

Answer:

-2

Assumption:

Find the value of x such that (f+g)(x)=0.

Step-by-step explanation:

(f+g)(x)=0

f(x)+g(x)=0

(x^2-2x)+(6x+4)=0

Combine like terms:

x^2+4x+4=0

This is not too bad too factor on the left hand side since 2(2)=4 and 2+2=4.

(x+2)(x+2)=0

(x+2)^2=0

So we need to solve:

x+2=0

Subtract 2 on both sides:

x=-2

Let's check:

(f+g)(-2)

f(-2)+g(-2)

((-2)^2-2(-2))+(6(-2)+4)

(4+4)+(-12+4)

(8)+(-8)

0

0 was the desired output of (f+g)(x).

7 0
3 years ago
Aaron has 7/8 gallon of bottled water.How many 3/6 gallon servings can he pour
Anettt [7]
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6 0
3 years ago
Arrange these numbers in increasing order: 216,000,000, 2.2 × 10 to the 3rd power, 3.1 × 10 to the 7th power, 310,000
ziro4ka [17]
<span>216,000,000
</span><span>2.2 × 10 to the 3rd power = 2.2 * 10^3 = 2,200
</span>3.1 × 10 to the 7th power = 3.1 * 10^7 = 31,000,000
<span>310,000

Increasing order:
</span>2,200 , 310,000 , 216,000,000 , 31,000,000

So increasing order with original numbers:
2.2 × 10 to the 3rd power, 310,000, <span>216,000,000,  3.1 × 10 to the 7th power</span>
7 0
3 years ago
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