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Nostrana [21]
2 years ago
14

Let f(x)=3x^2+2.

Mathematics
1 answer:
Leona [35]2 years ago
6 0
You would multiply it by 4
4(3x^2 +2 )
12x^2 +8
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the ratios of the sides of a triangle are 3:2:4. if the shortest side is 26cm, what is the length of the longest side?
zalisa [80]
Answer: 52

Divide 26/2 and you get 13, and then multiply 13 by 4. Think of it as a proportion.
4 0
2 years ago
For some reason, in our math class
Alona [7]
Then there would be 9 girls and 23 boys
5 0
3 years ago
Find the volume of this
11111nata11111 [884]

Answer:

37.8 yd^3

Step-by-step explanation:

base area = (4.5 x 2.8)/2 = 6.3 yd^2

Volume = 6.3 x 6 = 37.8 yd^3

4 0
2 years ago
Mr. Jones wants to place a chimney on his roof. It is recommended that the chimney be set at a height of at least 30 feet. The h
Tom [10]

Absolute value of any number is always positive because it represent distance and distance will always positive.

To place chimney at  least 30 feet , the distance along the width of the roof  (x) will be  x = 17.5 feet or x = 2.5 feet.

Since, The height of the roof is described by the function f(x)=−4/3|x−10| + 40

Since, minimum height is 30 feet.

So , substitute f(x)=30 in above expression.

                 30=−4/3|x−10| + 40

                   4/3|x−10| = 10

                      |x−10|=30/4

                      |x−10| = 7.5

Taking positive case,

                           x−10 = 7.5

                           x = 17.5 feet

Taking negative case,

                          x−10 = - 7.5

                          x = 10 - 7.5

                          x = 2.5 feet

Learn more:

brainly.com/question/14473339

7 0
2 years ago
Prove that sin^4x + cos^4x= sinxcosx
yKpoI14uk [10]

Answer:

(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)

Here we have the equation:

sin^4(x) + cos^4(x)

We can rewrite this as:

(sin^2(x))^2 + (cos^2(x))^2

Now we can add and subtract cos^2(x)*sin^2(x) to get:

(sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)

We can complete squares to get:

(cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2

and we know that:

cos^2(x) + sin^2(x) = 1

then:

1 - 2*sin(x)^2*cos(x)^2

This is the closest expression to what you wrote.

We also know that:

sin(x)*cos(x) = (1/2)*sin(2*x)

If we replace that, we get:

1 - \frac{sin^2(2*x)}{2}

Then the simplification is:

cos^4(x) + sin^4(x)  = 1 - \frac{sin^2(2*x)}{2}

7 0
3 years ago
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