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3 years ago

F(x)=4x^2+3x+13 Find f(1)

Mathematics

1 answer:

Pani-rosa [81]3 years ago

7 0

Answer:

f(1) = 42

Step-by-step explanation:

Step 1: Switch all x out to 1 for f(1) which would look like this: f(1)=4(1)^2+3(1)+13

Step 2: You would then simplify it starting with 4(1)^2 which would equal 4 squared which equals 16.

Step 3: After simplifying you would have f(1)=16+3+13

Step 4: You then just add and get 42

Hope this helped :D

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Find vertex of: y=(x-4)(x+8)

ki77a [65]

Answer:

(-2,-36)

Step-by-step explanation:

$y=(x-4)(x+8)$

1) Find the zeros of the parabola

The zero-product property states that any value, when multiplied by 0 will equal 0. Therefore, to make y=0, either (x-4)=0 OR (x+8)=0.

Therefore, x=4 and x=-8.

2) Find the x-coordinate of the vertex

To do this, we take the average of our zeros.

$\frac{4+(-8)}{2} \\=\frac{-4}{2} \\=-2$

Therefore, the x-coordinate of the vertex is -2.

3) Find the y-coordinate of the vertex

Plug the x-coordinate back into the original equation

$y=(-2-4)(-2+8)\\y=(-6)(6)\\y=-36$

Therefore, the y-coordinate of the vertex is -36.

Therefore, the vertex of the parabola is (-2,-36).

I hope this helps!

6 0

3 years ago

If 4 people are selected from a group of 6 married couples, what is the probability that none of them would be married to each o

Ludmilka [50]

Answer:

16/33

Step-by-step explanation:

12C4(total possible outcomes)=495

Since there are 6 married couples there must be 6*[2C2×10C2]=270

must subtracted 15 since when there are 2 couples in a group would have doubled 270-15=255

the no of groupings with no married couples 495-255 =240

probability=no of favourable outcomes /no of possible outcome

probability=240/495= 16/33

6 0

2 years ago

A business associate who owes Ana $4,000 offered to pay her $3,800 now or to pay her $2,000 now and $2,000 two years later. Usin

____ [38]

I think it will be 11,800 all u do is add

7 0

3 years ago

Read 2 more answers

Which pair of functions have the same domain? A. F(x)= sin x and g(x) = tan x B. F(x) = cos x and f(x) = csc x C. G(x) = tan x a

EastWind [94]

Answer:

The correct choice is D

Step-by-step explanation:

The trigonometric functions, $\sin x$ and $\cos x$ are defined for all real numbers.

$\tan x=\frac{\sin x}{\cos (x)}$ , this function is not defined where $\cos x=0$ .

$\cot x=\frac{\cos x}{\sin (x)}$ , this function is not defined where $\sin x=0$ .

$\csc x=\frac{1}{\sin (x)}$ , this function is not defined where $\sin x=0$ .

For option A

The domain of $f(x)=\sin(x)$ is all real numbers.

The domain of g(x) =tanx is $x\ne \frac{(2n+1)\pi}{2}$

For option B

The domain of $f(x)=\cos(x)$ is all real numbers.

The domain of f(x) =csc(x) is $x\ne n\pi$

For option C,

The domain of G(x) =tanx is $x\ne \frac{(2n+1)\pi}{2}$

The domain of f(x) =cot(x) is $x\ne n\pi$

For option D;

The domain of f(x) =cot(x) is $x\ne n\pi$

The domain of f(x) =csc(x) is $x\ne n\pi$

3 0

3 years ago

Read 2 more answers

5. Enter the answer as a decimal

Hitman42 [59]

Answer:

6.5%

Step-by-step explanation:

I = prt

5616 = 7200 × r × 12

r = 5616/(7200 × 12)

r = 0.065

r = 6.5%

5 0

1 year ago