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4 years ago

Can I get help with this question?

Mathematics

1 answer:

worty [1.4K]4 years ago

8 0

The answer is 157 degrees because the line segment is 180 and if <AFB is 23, you take 23 away from 180 and you should get 157. To check, add 157 to 23 or take away 157 from 180.

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Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

3 years ago

Josie buys a necklace for $24 which is 80% off. How much was the full price of the necklace

Sedbober [7]

Answer:

4.8

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

How do you know that 1/4 is a repeating decimal?

miv72 [106K]

Answer: To know if a number is repeating it would have this line on top of it, or it would just be repeating. A repeating number is a pattern of numbers that are repeated.

Step-by-step explanation: But 1/4 is not a repeating number, 1/4 is 0.25. This would be a repeating number; 3/9 = 0.333333333...

5 0

4 years ago

Read 2 more answers

I’ll give u a kiss if u help me with this ASAP PLZZZ;) with an explanation too plzzz

Dvinal [7]

Can i get a kiss??? x#*||~~

8 0

3 years ago

HELP, ASAP PLEASE!!!!

algol13

Answer:Remember that the general formula of geometric sequence is

where

is the nth term

is the difference

is the place of the term in the sequence

Also, to find we will use the formula:

where

is the current term in the sequence

is the previous term

a) Lets find the three first terms of our sequence to check what type of sequence we have:

We know for our problem that the initial value of the computer is $1250, so our first term is 1250. In other words .

To fin our second term , we are going to subtract 10% of the value to our original value:

and , so

To find our third term we are going to subtract yet again 10% to our current value:

and , so

Now that we have our sequence lets check if we have a consistent to prove we have a geometric sequence:

- with , and :

Look! our s are the same, so we can conclude that we have a geometric sequence.

b) To do this we just need to replece the values of our sequence in the general formula of a geometric sequence. We know from our previous point that and . So lets replace those values in geometric sequence formula to find our explicit formula:

c) To find the value of the computer at the beginning of the 6th year, we just need to find the 6th therm in our geometric sequence:

We can conclude that the value of the computer at the beginning of the 6th year will be $738.1125

Step-by-step explanation:

i did some research i dont know if it helped out not but id appreciate brainliest if it did..... thank you.

3 0

4 years ago