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3 years ago

Help please multiple choice!! :))

Mathematics

1 answer:

meriva3 years ago

4 0

F(x) = 16 gives x = 4. In round 4, 16 points will be awarded. (option A)

(to work it out mathematically you do $\log_216=4$ )

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What are the coordinates of the vertex for f(x) = 3x2 + 6x + 3? (−1, 0) (3, 6) (0, −1) (6, 3)

larisa [96]

Answer:

The vertex is the point $(-1,0)$

Step-by-step explanation:

we have

$f(x)=3x^{2} +6x+3$

we know ow that

The equation of a vertical parabola into vertex form is equal to

$y=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

Convert the equation into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-3=3x^{2} +6x$

Factor the leading coefficient

$f(x)-3=3(x^{2} +2x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)-3+3=3(x^{2} +2x+1)$

$f(x)=3(x^{2} +2x+1)$

Rewrite as perfect squares

$f(x)=3(x+1)^{2}$

therefore

the vertex is the point $(-1,0)$

6 0

3 years ago

Read 2 more answers

(-4^-2) (49^-1/2) Evaluate the expression

Marizza181 [45]

Answer:

-1/112

Step-by-step explanation:

$-4^{-2}=\frac{1}{-4^2}=-\frac{1}{16} \\ \\ 49^{-1/2}=\frac{1}{49^{1/2}}=\frac{1}{7} \\ \\ (-1/16)(1/7)=-1/112$

5 0

1 year ago

Can someone give me the answers for the number frame and how you did it, I’m confused :)

xxTIMURxx [149]

Answer:

16, 56, ...

Step-by-step explanation:

It looks like you have to put in each cell the multiplication of the row and the column, so the columns are 2, 7, 4 etc., and the row is always 8.

First cell: 2x8 = 16

Second cell: 7x8 = 56

and so on

It teaches you to apply the multiplication in a random sequence; you should be able to do this in your head.

8 0

3 years ago

Summer Dave builds a crate to hold vegetables the volume of the crate is 48 ft.³ the base area of the crate is 16 ft.² what is t

MariettaO [177]

The height of crate is 3 feet

Solution:

Given that Summer Dave builds a crate to hold vegetables

Volume of crate = 48 cubic feet

Base area of crate = 16 square feet

To find: height of crate

The crate is of shape cuboid

The volume of cuboid is given as:

$volume = length \times width \times height$

We know that,

$Area\ of\ base = length \times width$

Therefore, volume becomes,

$volume = base\ area \times height$

Substituting the given values we get,

$48 = 16 \times h\\\\h = \frac{48}{16}\\\\h = 3$

Thus height of crate is 3 feet

6 0

3 years ago

What are 1356 times 17 this is math obviously

Travka [436]

Answer:

23052

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers