factor out the polynomial: 12x^2+26x+12
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Related Questions
A seven
digit number has a 0 in the ones place,as 6 in the tens thousands place,an 8 in the millions place,and fives in each of the remaining places .what is the number
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126 employees is 3% of what number of employees
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"of" in mathematics usually means that the numbers or values described are being multiplied.
And so the word problem becomes:
126 employees = 3% * x employees
Solve:
126 = .03 * x
x * .03 = 126
(x * .03) / .03 = 126 / .03
x = 4200 employees
Thus your answer is 4200 employees.
If 126 is equivalent to 3%, then we can say that 126/? = 3/100, which you can then use to find the answer by doing 126 ÷ 3 = 42, and then multiplying 42 by 100 to get 4,200.
I hope this helps!
F(x) = 9 sin(x) + cot(x), −π ≤ x ≤ π find the interval of increase.
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F(x) = 9 sinx + cot x
We need to take the first derivative of the given function so,
F' (x) = 9 cos x - csc² x
Next, we equate the first derivative of the function to 0 and solve for the values of x
0 = 9 cos x - csc² x
Solving for x
x = 2.04
Picking out an arbitrary value between 2.04 and π, say 3 and substituting in F(x)
F(3) = 9 sin 3 + cot 3 = 19.55
Therefore, the interval where the function is increasing is from 2.04 to π
Consequently, the interval where the function is decreasing is from -π to 2.04
Final answer:
To find the interval of increase for the function F(x) = 9*sin(x) + cot(x), we need to find where the derivative is positive. The interval of increase for the function is (0, π/2) and (π, 3π/2).
Explanation:
In order to find the interval of increase for the function F(x) = 9*sin(x) + cot(x), we need to find where the derivative is positive. Let's first find the derivative of F(x). The derivative of sin(x) is cos(x) and the derivative of cot(x) is -csc^2(x).
So, the derivative of F(x) is 9*cos(x) - csc^2(x). Now, to find where the derivative is positive, we need to find the intervals where 9*cos(x) - csc^2(x) > 0. We can solve this inequality by analyzing the sign changes of the derivative function.
By analyzing the sign changes of 9*cos(x) - csc^2(x), we find that the derivative is positive when x is in the intervals (0, π/2) and (π, 3π/2). Therefore, the interval of increase for the function F(x) = 9*sin(x) + cot(x) is (0, π/2) and (π, 3π/2).
Can the side lengths of 12, 15, and 13 form a triangle?
Yes
No
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Mount Rushmore is a sculpture that was carved using a model with a scale of 1 in :1 ft. If the model of George Washington’s face was 5 ft, how tall was the face on the actual sculpture? a. 5 ft c. 60 ft b. 40 ft d. 72 ft
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The face on the actual sculpture of George Washington’s is 60 feet .
What is scale factor?The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.
According to the question
Mount Rushmore is a sculpture that was carved using a model with a scale factor of 1 in = 1 ft.
As we know
1 feet = 12 inches
i.e
Scale factor is 12 for sculpture .
Now,
The model of George Washington’s face was 5 ft
As Scale factor is 12
So, the face on the actual sculpture
5 * 12 = 60 feet
Hence, the face on the actual sculpture of George Washington’s is 60 feet .
To know more about scale factor here:
https://brainly.com/question/22312172
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express the confidence interval 0.38 p 0.54 in the form of p^ ± e
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Assume that p is in the middle of the given interval:
p = (0.54-0.38) / 2 = 0.08
Then, e can be calculated as follows:
e = end of interval - p = 0.54 - 0.08 = 0.46
The required expression can be written as follows:
p ± e = 0.08 ± 0.46
There are 375 books sold at Sid's Bookstore. The table below summarizes these books by genre. This info is presented in circle graph. Find the central angle measure for Self Help slice in graph. Mystery 99, romance 81, self help 90, cooking 57, biography 48.
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The central angle measure for the 'Self Help' slice in the circle graph is 86.4 degrees.
To find the central angle of the 'Self Help' slice in a circle graph (pie chart), we first need to calculate the total number of books sold, which is provided as 375.
We then take the number of 'Self Help' books which is 90, and determine what fraction of the total this represents. The fraction for 'Self Help' books is 90/375. A full circle has an angle of 360 degrees, so we multiply the fraction by 360 to find the central angle for that section of the pie chart.
= (90/375) * 360 = 0.24 * 360 = 86.4 degrees
Thus, the central angle measure for the 'Self Help' slice in the graph is 86.4 degrees.
Using the law of sines in ABC, if c =135, b =10 degrees, c =45 find measure of A
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make sure your calculator is in Degree mode.
PLZZ HELP!! A spherical ball just fits inside a cylindrical can, 16 centimeters tall, with a diameter of 16 centimeters. Which expression gives the volume of the sphere in cubic centimeters?
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formula for volume of a sphere is V=4/3 x pi x R63
if diameter = 16 than radius = 16/2 = 8
so the equation would be 4/3 x pi x 8^3
Answer:
Option [tex]V=\frac{4}{3}\pi (8^{3})\ cm^{3}[/tex]
Step-by-step explanation:
we know that
The volume of a sphere is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
In this problem we have
[tex]r=16/2=8\ cm[/tex] -----> the radius is half the diameter
substitute
[tex]V=\frac{4}{3}\pi (8^{3})\ cm^{3}[/tex]
Solve for x. Show your work.
- x < -12