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julia-pushkina [17]
3 years ago
12

I need help with all except graph on first question please! Work shown or not doesn’t matter

Mathematics
1 answer:
Jobisdone [24]3 years ago
5 0

Answer:

y = 7/5x + 18/5

Step-by-step explanation:

so we have y = mx + b

f(1) = 5

f(-4) = -2

so let's find b

so like if you do (5 - (-2))/(1 - (-4)) you get (5 + 2)/(1 + 4) = 7/5

y = 7/5x + b

so now we can plug in a value like f(1) = 5

5 = (7/5)1 + b

b = 18/5

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Write the slope intercept form of a line going through
anyanavicka [17]
Perpendicular = opposite sign and reciprocal slope
Slope 2 turns into -1/2
Y = -1/2x + b
Plug in the point
-5 = -1/2(2) + b, b = -4
Solution: y = -1/2x - 4
5 0
3 years ago
A. f(x) = l-2xl - 3<br> Domain: {1, 2, 3}<br> Find the range
gizmo_the_mogwai [7]

Hello there!

We are given the function:

\displaystyle \large{ f(x) =  | - 2x|  - 3} \\

To find the range, we know that domain is the set of all x-values and also called 'input' while range is the set of all y-values and also called 'output'.

Basic Function - you add the input, you get the output. You add x-value in a function, you get y-value. You add domain, you get range.

So, we substitute x = 1,2 and 3 in the function.

<u>x</u><u> </u><u>=</u><u> </u><u>1</u>

\displaystyle \large{ f(1) =  | - 2(1)|  - 3} \\   \displaystyle \large{ f(1) =  | - 2|  - 3} \\

Recall that any numbers in absolute value are always positive.

\displaystyle \large{ f(1) =  2 - 3} \\   \displaystyle \large{ f(1) =   - 1} \\

<u>x</u><u> </u><u>=</u><u> </u><u>2</u>

\displaystyle \large{ f(2) =  | - 2(2)|  - 3} \\   \displaystyle \large{ f(2) =  | - 4 |   - 3} \\   \displaystyle \large{ f(2) =  4 - 3} \\   \displaystyle \large{ f(2) =  1}

<u>x</u><u> </u><u>=</u><u> </u><u>3</u>

\displaystyle \large{ f(3) =  | - 2(3)|  - 3} \\   \displaystyle \large{ f(3) =  | - 6|   - 3} \\   \displaystyle \large{ f(3) =  6 - 3} \\   \displaystyle \large{ f(3) =  3}

Therefore, Range: {-1,1,3}

Let me know if you have any questions!

Topic: Absolute Value Function / Modulus Function

6 0
2 years ago
The diameter of circle x is 15 centimeters.
rjkz [21]

Answer:

15.7 cm

Step-by-step explanation:

Circle x's circumference is 15 * pi = 47.1 cm

Circle y's is 20 * pi = 62.8

The difference is 62.8 - 47.1 = 15.7

5 0
2 years ago
Which ordered pair is a solution of the inequality? y is greater than or equal to 4x-5
lesya692 [45]
(1,1) -->> 1 >= 4(1) - 5 -->> 1 >= 4-5 -->> 4 >= -1
8 0
3 years ago
The basketball court at Johnson Elementary School is the shape of a rectangle. It is 92 feet long and 46 feet wide. What is the
padilas [110]

Answer:

The perimeter of the basketball court is <u>276 feet²</u>.

Step-by-step explanation:

Given:

The basketball court at Johnson Elementary School is the shape of a rectangle.

It is 92 feet long and 46 feet wide.

Now, to find the perimeter of the basketball court.

Length = 92 feet.

Width = 46 feet.

So, to get the perimeter we put formula:

Perimeter=2(length+width)

Perimeter=2(92+46)

Perimeter=2\times 138

Perimeter=276\ feet^2.

Therefore, the perimeter of the basketball court is 276 feet².

5 0
3 years ago
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