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3 years ago

I have no clue how to do this. I just need to pass my online math class.

Mathematics

2 answers:

Gennadij [26K]3 years ago

8 0

So, if you're trying to find the value of f(3), you substitute x=3 into the equation. However, you must be careful.

Which equation in the function do you substitute it into?

2x-9 or 4-x?

You would substitute x=3 into 2x-9.

Why?

See the inequalities at the end of each equation? Those tell you which values you substitute into the equation. Since x=3, you find which inequality it fits under.

It's not x>3 because 3 is not greater than 3. It would be x≤3 because 3 is a value less than or EQUAL to 3.

Now substitute the value x=3 into the correct equation.

2x-9
2(3)-9
6-9
-3

Therefore f(3) = -3.

Lerok [7]3 years ago

3 0

If F(3) then 3=x. So all you would do is substitute 3 in for x

You might be interested in

Your Turn: Find the measure of angle P below. Show your work. *

Virty [35]

Check the picture.

The figure shows lines m, n and the line through points A And B, call it $l_{AB}$ .

1. The angles ABC and CBP are "supplementary" angles, that is angles whose sum is 180°, because together they form one straight angle.

thus,

(2x+5°)+(7x-14°)=180°

9x-9°=180°

9x=189°

x=189°/9=21°.

2. Remark, m and n are parallel, otherwise we can say nothing about the measure of angle P

check the second picture, notice the F shape formed by CBP and P.

Angles CBP and P are called "angles F" or "corresponding angles".

Corresponding angles formed by a line cutting 2 parallel lines, are always congruent (that is equal) so:

m(P)=m(CBP)=7x-14°=7.21°-14°=147°-14°=133°

Answer: 133°

5 0

3 years ago

Read 2 more answers

HELP WITH THIS QUESTION PLEASE!

belka [17]

Answer:

23.7°

9.1~ft

Step-by-step explanation:

Formula for the area of a sector of central angle n (in degrees) and radius r:

$A = \dfrac{n}{360^\circ}\pi r^2$

We have:

A = 100 ft^2

r = 22 ft

We need to find:

$100 = \dfrac{n}{360^\circ}\pi (22^2)$

$n = 23.7^\circ$

The central angle measures 23.7°.

Formula for the length of an arcs of a circle with central angle n (in degrees) and radius r:

$s = \dfrac{n}{360^\circ}2 \pi r$

We have:

n = 23.7°

r = 22 ft

We need to find:

$s = \dfrac{74.4}{360}2 \pi (22 ft)$

$s = 9.1~ft$

6 0

3 years ago

A metalworker has a metal alloy that is 25% copper and another alloy that is 60% copper.How many kilograms of each alloy should

Neporo4naja [7]

Answer:

20kg of 25% copper alloy

30kg of 60% copper alloy

Step-by-step explanation:

There are 2 kinds of metal, first metal(A) have 25% copper while the second metal(B) has 60% copper. The metalworker want to create 50kg of metal, which means the total weight of both metals is 50kg (A+B = 50). The metalworker also want the metal made of a 46% which is 23kg(0.25A + 0.6B = 0.46*50). From these sentences, we can derive 2 equations. We can solve this with substitution.

A+B = 50

A= 50-B

Let's put the first equation into the second.

0.25A + 0.6B = 0.46 *50

0.25(50-B) + 0.6B =23

12.5 - 0.25B + 0.6B =23

0.35B=23 -12.5

B= 10.5/ 0.35= 30

Then we can solve A

A= 50-B

A= 50-30

A=20

8 0

3 years ago

Scott took out a 4-year car loan for $5,500. He paid back a total of $7,370. What interest rate did he pay for this loan?

elena-14-01-66 [18.8K]

Amount of car loan taken by Scott = $5500
Amount of loan paid back by Scott = $7370
Then
Amount of money paid as interest by Scott = (7370 - 5500) dollars
   = 1870 dollars
Then
Percentage of interest given for the car loan = (1870/5500) * 100
   = 1870/55
   = 34 percent
So Scott had to pay a total interest rate of 34% in the four years.I hope the procedure is simple enough for you to understand and solve future problems.

7 0

3 years ago

Write the function in standard form<br><br> f(x) = -4 (x - 6)^2 + 15

amid [387]

9514 1404 393

Answer:

f(x) = -4x^2 +48x -129

Step-by-step explanation:

It usually works well to compute the square first. That is, simplify according to the order of operations.

f(x) = -4(x^2 -12x +36) +15

f(x) = -4x^2 +48x -144 +15

f(x) = -4x^2 +48x -129

7 0

2 years ago

Read 2 more answers