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3 years ago

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

Mathematics

2 answers:

Aneli [31]3 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]3 years ago

3 0

Answer:

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

Step-by-step

(x+6)^2= 49 to get rid of the exponent square root each side of the equation.
(x+6)= √49 Find square root of 49.
(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.
(x+6)=7 subtract 6 from each side.
x= 1
(x+6)=-7 Subtract 6 from each side.
x=-13
So the answers are -13 and 1.

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Assume that adults have IQ scores that are normally distributed with a mean of 96.296.2 and a standard deviation 20.520.5. Find

Sergeeva-Olga [200]

Answer:

The first quartile of the IQ scores of adults is 82.26.

Step-by-step explanation:

The first quartile is the value that is greater than 25% of the observations and less than 75% of the observation.

The formula to compute the first quartile (Q₁) of a Normal distribution is:

$Q_{1}=\mu-0.68\sigma$

The mean and standard deviation of the IQ scores of adults are:

$\mu=96.2\\\sigma=20.5$

Compute the first quartile value as follows:

$Q_{1}=\mu-0.68\sigma=96.2-(0.68\times20.5)=82.26$

Thus, the first quartile of the IQ scores of adults is 82.26.

5 0

2 years ago

What is the volume of the composite figure shown below?

AVprozaik [17]

Answer:

2412 mm³

Step-by-step explanation:

In the figure attached, the composite figure is shown.

Dimension of top rectangular prism:

length of 13 millimeters

width of 12 millimeters

height of 12 millimeters

Volume of top rectangular prism: length*width*height = 13*12*12 = 1872 mm³

Dimension of bottom rectangular prism:

length of 15 millimeters

width of 12 millimeters

height of 3 millimeters

Volume of bottom rectangular prism: length*width*height = 15*12*3 = 540 mm³

Volume of the composite figure: 1872 + 540 = 2412 mm³

7 0

2 years ago

Cost A=0.6489<br><br> take the inverse cosine of both sides

Stolb23 [73]

I am not quite sure what the question asks for,
But this is what i assume it wants:

Cos A= 0.6489
In this given one, we basically find the size of the angle A
we do cosine inverse on both sides to get the size of the angle A
$cos^{-1}$ : It looks like this in the calculator
$cos^{-1}$ × cos A= $cos^{-1}$ (0.6489)
( $cos^{-1}$ and cos cancels out)
A= $cos^{-1}$ (0.6489)
A=49.54°
check:
cos 49.54=0.6489 (its right!)

6 0

2 years ago

(2x -5) - 1.75(x+4) simplify

Strike441 [17]

Step-by-step explanation:

=0.25x-12 I hope this helped:)