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3 years ago

Solve for x: x2 + 8x = -1

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

7 0

$x^2+8x=-1\\
x^2+8x+16-16=-1\\
(x+4)^2=15\\
x+4=\sqrt{15} \vee x+4=-\sqrt{15}\\
x=-4+\sqrt{15} \vee x=-4-\sqrt{15}$

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In math class, a student has an average grade of 85% for five tests so far. What grade must that student earn on the next test t

Katena32 [7]

Total marks for five tests = 85 * 5 = 425

Total marks in six tests with 90% would be: 90 * 6 = 540

So, the remaining marks will be: 540-425 = 115

Student must earn 115 grade in order to reach other average score of 90%

Hope this helps!

3 0

3 years ago

A. 2x + 3+ - 10 = 8x +

svet-max [94.6K]

Answer:

x= -7/6

Step-by-step explanation:

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3 years ago

Calculer x si (x+1/2)^2= 4/9

-Dominant- [34]

Answer:

$x=-\frac{7}{6}\\x=\frac{1}{6}$

Step-by-step explanation:

The equation to solve is:

$(x+\frac{1}{2})^2=\frac{4}{9}$

To get rid of the "square", we need to take square root of both sides:

$\sqrt{(x+\frac{1}{2})^2}=\sqrt{\frac{4}{9}}\\x+\frac{1}{2}=\frac{\sqrt{4}}{\sqrt{9}}$

Then we use algebra to find the value(s) of x. Remember, when we take square root, we have to add up a "+-" (on the right side). Shown below:

$x+\frac{1}{2}=+-\frac{\sqrt{4}}{\sqrt{9}}\\x+\frac{1}{2}=+-\frac{2}{3}\\x=\frac{2}{3}-\frac{1}{2}=\frac{1}{6}\\x=-\frac{2}{3}-\frac{1}{2}=-\frac{7}{6}$

So these are 2 answers for x.

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3 years ago

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IceJOKER [234]

Answer:

The last choice

Step-by-step explanation:

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3 years ago

A bicycle with 24-inch diameter wheels is traveling at 12 mi/h.

Dmitry [639]

Answer:
1055.99 rad/min
Step-by-step explanation:
Given that,
The diameter of a bicycle, d = 24 inches
Radius, r = 12 inches
The bicycle is travelling at 12 mi/h.
We need to find the angular speed of the wheels in rad/min.
We know that,
1 mi/h = 0.0166667 mi/min
It means,
12 mi/h = 0.2 mi/min
Also,
12 inch = 0.000189394 miles
The angular speeds of the wheels is given by the picture below

So, the angular speeds of the wheels is 1055.99 rad/min.

7 0

3 years ago