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3 years ago

Which value is in the domain of f(x)?

Mathematics

1 answer:

Phantasy [73]3 years ago

5 0

Answer:

C) 4

Step-by-step explanation:

The missing options are:

A) –7

B) –6

C) 4

D) 5

In the picture attached a better representation of the function is shown. There, we can see that in the first interval: -6 < x ≤ 0, -6 is not included, but 0 it is included. In the second interval: 0 < x ≤ 4, 0 is not included, but 4 it is included.

-7 is not included because is less than -6, and only x values greater than -6 are included.

5 is not included because is greater than 4, and only x values less than 4 are included.

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WILL MAKR BRIANLIESTIF GOTTEN RIGHT!

Margarita [4]

Answer:

Here CD = AB

so 2x + 1 = 7

so 2x = 6

x = 3

therefore the length of CE = x = 3 (ans)

Hope it helps

8 0

3 years ago

What is f(x) = –4x2 + 24x + 13 written in vertex form? f(x) = –4(x – 6)2 + 23 f(x) = –4(x – 6)2 + 7 f(x) = –4(x – 3)2 + 4 f(x) =

nika2105 [10]

We have that
f(x) = –4x² + 24x + 13

we know that

The vertex form for a parabola that opens up or down is:

f(x) = a(x - h)^2 + k

in the given equation, a=-4, therefore we add zero to the original equation in the form of 4h²−4h²
f(x) = –4x² + 24x + 4h²−4h² +13
Factor 4 out of the first 3 terms and group them
f(x) = –4*(x² -6x +h²) +4h² +13
We can find the value of h by setting the middle term equal to -2hx
−2hx=−6x
h=3 and 4h²=36
f(x) = –4*(x² -6x +9) +36 +13

we know that the term (x² -6x +9) is equals to------> (x-3)²
so
f(x) = –4*(x-3)² +49

the answer is
f(x) = –4*(x-3)² +49

4 0

4 years ago

An Adult ticket at an amusement park costs $24.95 and a child's ticket costs $15.95. A group of 10 people paid $186.50 to enter

leva [86]

Answer:

There were 3 adults

Step-by-step explanation:

Step 1: Derive the first expression

a+c=10...equation 1

where;

a=number of adults

c=number of children

And total number of people=10

Step 2: Derive the second expression;

Total cost of tickets=(price per child ticket×number of children)+(price per adult ticket×number of adults)

where;

Total cost of tickets=$186.50

price per child ticket=$15.95

price per adult ticket=$24.95

number of children=c

number of adults=a

replacing;

(15.95×c)+(24.95×a)=186.5

24.95 a+15.95 c=186.5....equation 2

Step 3: Combine equation 1 and 2 and solve simultaneously

24.95 a+15.95 c=186.5

24.95(a+c=10)

(24.95 a-24.95 a)+(15.95 c-24.95 c)=186.5-(24.95×10)

-9 c=-63

c=-63/-9

c=7

replace the value for c in equation 1

a+c=10

a+7=10

a=10-7

a=3

There were 3 adults

6 0

3 years ago

The curve with the equation y=8x^2 + 2/x has one turning point.

anyanavicka [17]

Answer:

(1/2, 6).

Step-by-step explanation:

Turning points in a graph may exist whenever the derivative equals 0. Hence, let’s differentiate and then solve our function.

We have:

$\displaystyle y=8x^2+\frac{2}{x}$

Take the derivative of both sides with respect to x:

$\displaystyle y^\prime=16x-\frac{2}{x^2}$

Simplify:

$\displaystyle y^\prime=\frac{16x^3-2}{x^2}$

We will now set this equal to 0 and solve for x. Hence:

$\displaystyle \begin{aligned} 0&=\frac{16x^3-2}{x^2} \\ 0&=16x^3-2 \\ 2&=16x^3 \\ \frac{1}{8}&=x^3 \\ \frac{1}{2}&=x \end{aligned}$

Hence, the graph turns at x=1/2. This is the x-coordinate.

Then it follows that the y-coordinate will be:

$\displaystyle{\begin{aligned} y&=8(\frac{1}{2})^2+\frac{2}{\frac{1}{2}} \\ y&=8(1/4)+2(2) \\ y&=2+4 \\ y&=6\end{aligned}$

Hence, our coordinate Is (1/2, 6).

8 0

3 years ago

What is the area of the triangle?

Yakvenalex [24]

Answer:

6 square inches

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers