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3 years ago

F(x) is a function. A. True B. False

Mathematics

2 answers:

pogonyaev3 years ago

7 0

I’m pretty sure it’s true

lina2011 [118]3 years ago

4 0

Answer:

True, this is a function

Step-by-step explanation:

There is a 1 to one correspondence between x and y

Each x goes to one y, so this is a function

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Find an antiderivative F(x) with F′(x) = f(x) = 6 + 24x^3 + 18x^5 and F(1)=0.

7nadin3 [17]

Answer:

The antiderivative is $F(X) = 6x + 6x^4 + 3x^6 - 15$ .

Step-by-step explanation:

Antiderivative F(x)

This is the integral of $F^{\prime}(x)$

F′(x) = f(x) = 6 + 24x^3 + 18x^5

Then:

$F(x) = \int (6 + 24x^3 + 18x^5) dx$

$F(x) = 6x + \frac{24x^4}{4} + \frac{18x^6}{6} + K$

$F(x) = 6x + 6x^4 + 3x^6 + K$

F(1)=0

$F(X) = 0$ when $x = 1$ . We use this to find K.

$F(x) = 6x + 6x^4 + 3x^6 + K$

$0 = 6 + 6 + 3 + K$

$K = -15$

Thus

The antiderivative is $F(X) = 6x + 6x^4 + 3x^6 - 15$ .

7 0

3 years ago

Split 840 into the ratio 2:5

pishuonlain [190]

Answer:

numbers are 3x,2x,5x

so 3x+2x+5x=10x=840

so x=84

so numbers are 252,168,420

7 0

2 years ago

Solve y = -25x + 600

olga nikolaevna [1]

Answer:

$-\frac{y}{25} +24$

Step-by-step explanation:

5 0

3 years ago

Mrs. Sloan draws two figures on the board.

Trava [24]

A dilated shape will either be enlarged or compressed.

<em>Allen did not make any mistake, and the scale factor is 3.</em>

The dimension of the smaller rectangle (figure Z) is:

3 units by 4 units

The corresponding dimension of the bigger rectangle (figure Z') is:

9 units by 12 units

The scale factor (k) is calculated by dividing the dimensions of Z' by Z.

So, we have:

$k = \frac{9}{3}$

$k = 3$

$k = \frac{12}{4}$

$k = 3$

Notice that both values of k are the same (i.e. 3)

This means that the scale factor is 3

Also figure Z and Z' share the same center of origin at point X

This means that the center of dilation from Z to Z' is X

Hence,

Allen made no mistake, and she is correct about the scale factor.