Find the equation of the linear function represented by the table below in slope-
intercept form.
Answers
Answer:
f(x) = 5x - 5
Step-by-step explanation:
Let the equation of the linear function is,
f(x) = mx + b
Here, m = Slope of the graph
b = y-intercept
Slope of the line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]
From the table attached,
Slope of the line passing through (2, 5) and (6, 25) will be,
m = [tex]\frac{25-5}{6-2}[/tex]
m = 5
Equation of the linear function will be,
f(x) = 5x + b
Since, a point (10, 45) lies on the function,
45 = 5(10) + b
b = 45 - 50
b = -5
Equation of the linear function will be,
f(x) = 5x - 5
Related Questions
factorise fully 9b-3b2
Answers
Answer:
3b(3-b) is the answer
Step by step explanation : take out the most common factor which is 3b
Which expression is equivalent to 15x + 3?
A. 15(1x + 1)
B. 5(3x + 1)
C. 3(5x + 1)
D. 2(15x + 3)
Answers
Answer:
C
Step-by-step explanation:
3(5x + 1) | Given
15x + 3 | Multiply each term on the inside by the number on the outside of the parenthesis (3). This is called distributing.
Explanation: you use the foil method to distribute the 3.
read the instructions first
then graph
Polya created his famous four-step process for problem solving, which is used all over to aid people in problem solving:
Step 1: Understand the problem.
Step 2: Devise a plan (translate).
Step 3: Carry out the plan (solve).
Step 4: Look back (check and interpret
Answers
Answer:
Step-by-step explanation:
Step 1:
x - > number of Avocado
y -> number of melon
Step 2:
x ≤ 3y
x + y ≥ 20
Step 3:
x + y≥ 20
y ≥ -x + 20
Step 4:
( 1 , 20)
x ≤ 3y ; y≥ -x + 20
1 ≤ 3*20 ; 20 ≥ -1 + 20
1 ≤ 60 ; 20 ≥ 19
Arturo is driving at a speed of 50 miles per hour. At 2:00 he
sees the following sign.
Applebee
11 miles
Beauville
41 miles
Caanan
62 miles
Denton
98 miles
Arturo continues at the same speed. At 2:30 how far from
Caanan will he be?
A.
12 miles
B.
16 miles
C.
25 miles
D.
26 miles
E.
37 miles
Answers
Answer:
Your answer is 37
Step-by-step explanation:
Caanan is 62 miles away and since he drives at 50 miles per hour, and if it is 2:30 then 30 minutes is half a hour, which means you divide 50 in half by 2 and get 25. After you do that then you subtract 62 and 25 to get your answer 37. Have a good day!!! :)
PLEASE HELP ME match the equations at the bottom of the screen to the graph.TYSM
Answers
Answer: It's given in the equations.
Step-by-step explanation:
First One
f(x) = -2^x
Second
f(x) = -4(2)^x
Third
f(x) = 4(2)^x
Fourth
f(x) = 2^x
15 points and brainliest! Solve for x. 7x + 3 = 17
A: x= 2
B: x=7
C: x=20
D: x=27
Answers
Answer:
Its A
Step-by-step explanation:
7x + 3 =17
-3 ( 17 -3 = 14)
7x = 14. (14 divided by 7)
u get x=2
Round 199,609 to the nearest thousand.
Answers
Answer:
200,000
Step-by-step explanation:
have a good day! ;-)
Answer:
199,609,000
Step-by-step explanation:
Hope this helps!!!margo has sandwich cut into 1/3 pieces . if she needs to serve 11 people how many whole sandwiches will she need?
Answers
Answer:
she needs 4 and will have 1/3 of a sandwich left
Step-by-step explanation:
Answer:
12 pices remainder 1
Step-by-step explanation:
Because if u split a sandwich in 12 pices u get 1 extra sandwich left over and 12 is good enough for 11 ppl hope I helped
........................
Answers
Answer:
what do u need help with?
Step-by-step explanation:
I need help *********
Answers
Answer:
a
Step-by-step explanation:
bc x 2 is 10× 10
so x is 10
I hope this helped
Take the root of both sides and slove
Brianna had a garden Box that is 8' by 12' this summer she decided that it is too big and wants to reduce it by a scale factor of 1/2 find the area of her new garden
Answers
Given:
Brianna had a garden Box that is 8' by 12'.
She decided to reduce it by a scale factor of [tex]\dfrac{1}{2}[/tex].
To find:
The area of her new garden.
Solution:
Let the length and width of the original garden are 8 ft by 12 ft respectively.
Reduce the dimensions by a scale factor of [tex]\dfrac{1}{2}[/tex].
Length of the new garden is
[tex]\dfrac{8\ ft}{2}=4\ ft[/tex]
Width of the new garden is
[tex]\dfrac{12\ ft}{2}=6\ ft[/tex]
Now, the area of the new garden is
[tex]Area=Length\times Width[/tex]
[tex]Area=(4)\times (6)[/tex]
[tex]Area=24[/tex]
Therefore, the area of the new garden is 24 sq. ft.
[tex] \sqrt{81 \times 8} [/tex]
Answers
Answer:
Step-by-step explanation:
81 = 9 * 9 = 3 * 3 * 3 *3
8 = 2 * 2 * 2 *2
[tex]\sqrt{81 * 8 } = \sqrt{3*3*3*3*2*2*2}\\\\=3 * 3 * 2 \sqrt{2}\\\\= 18\sqrt{2}[/tex]
Sam started his savings account with $200 and will be adding $25 a week to the account. Marc started his savings account with only $50 and will be saving $25 a week. When will Sam and Marc have the same amount of money in their savings accounts?
Answers
9. Jenny is selling t-shirts to raise money for the cheerleading team. She sells long sleeve t-shirts
for $18 and short sleeve t-shirts for $12. At the first football game Jenny sells 54 t-shirts and
makes $774. Write and solve a system of equations to find out how many of each she sold.
(let x=the number of long sleeve t-shirts and y=the number of short sleeve t-shirts)
Answers
Answer:
54 short sleeve
7 long sleeve
Step-by-step explanation:
54*12=648
774-648= 126
126/18=7
For the proportion, find the unknown number n. 9.6/16 = n/3.2
Answers
Answer:
n = 1.92
Step-by-step explanation:
Multiply both sides of the equation by 3.2
[tex]3.2*\frac{2}{3.2} =3.2*\frac{9.6}{16}[/tex]
Simplify both sides of the equation.
n = 1.92
good luck, i hope this helps :)
Plz help!!! I need the answer quickly
Answers
Amy and Roger both wash windows at a large downtown building. Amy can wash 25 windows in 4 hours. Roger can wash 32 windows in 6 hours.
washes windows faster.
Answers
AMY washes the widows faster than roger
mark brainliest pls i did this in class yesterday
5/12+8/12 I need help
Answers
[tex]\frac{13}{12}[/tex] is the answer
Hope this helps
A computer is on sale for $684. If the original price was reduced by 60%, what was the original price of the computer?
The original price of the computer was
Answers
Answer:
$1094.40
Step-by-step explanation:
684 increase 60% =
684 × (1 + 60%) = 684 × (1 + 0.6) = 1094.4
PLEASE HELP ASAP
Maria recently hired a plumber to do some necessary work. On the final bill, Maria was charged a total of $473. The amount listed for parts was $335 and the rest of the bill was for labor. If the hourly rate for labor was $46, how many hours of labor was needed to complete the job?
(A) First write an equation you can use to answer this question. Use x as your variable. The equation is __________________
(B) Solve your equation in part (A) to find the number of labor hours needed to do the job. Answer: The number of labor hours was ________________________
Answers
Answer:
A)473 = 335 - 46x
B) 3
Step-by-step explanation:
A)
473 = 335 - 46x
x = the hours of labor needed.
B)
Solve for x
473 = 335 - 46x
subtract 335 from both sides
138 = 46x
divide both sides by 46
3 = x
Answer:
A) [tex]46x+335=473[/tex] B)[tex]x=3[/tex]
Step-by-step explanation:
473 is the total amount, which means it is the end result
335 represents a constant since it is a base price
the hourly rate is a variable, due to the fact that it depends on how many hours he spent working.
variable + constant = total price
[tex]46x+335=473[/tex]
Now to solve this, first subtract [tex]335[/tex] from both sides
[tex]46x=138[/tex]
Next divide both sides by [tex]46[/tex] to isolate the variable
[tex]x= \frac{138}{46}[/tex]
This can be simplified to: [tex]x=3[/tex]
plz mark me brainliest. ;)
Give the result of 3(x-2).
Answers
Answer:
3x-6
Step-by-step explanation:
3(x-2)
3 multiply both x and -2
3x-6
hope it's helpful ❤❤❤❤
THANK YOU.
Round 8265 to the nearest ten?
Answers
Step by step explanation:
please send answers i hate math sm
Answers
Answer:
107
Step-by-step explanation:
Fig. 1
area of triangle = 1/2×base×height
=1/2×4×8
=16
area of figure 2
Ar of square= side ²
=8×8
=64
area of fig 3
ar of triangle= 1/2×6×9
=27
Area of fig. 1+2+3
= 16+64+27
= 107. ANSWER
Order the numbers from least to greatest.
0.462; 0.436; 0.435; 0.478
A.0.462; 0.436; 0.435; 0.478
B.0.435; 0.436; 0.462; 0.478
C.0.478; 0.462; 0.436; 0.435
D.0.436; 0.435; 0.462; 0.478
Answers
Answer:
The answer is B. 0.435,0.436,0.462,0.478
Step-by-step explanation:
:)
In a certain town in 90 minutes 1/2 inch of rain falls continues at the same rate for a total of 24 hours which of the following statements are true about the amount of rain in the 24 hour.
Answers
Answer:
A. 16 times of 1/2 inch of rain
Step-by-step explanation:
24 hours = 1440 minutes
90 minutes = 1/2 inch of rain
1440 divided by 90 = 16
16 times of 1/2 inch of rain
5×2 to the power of five
Answers
Answer:
5x2^5 is 160
Step-by-step explanation:
Answer:
160
Step-by-step explanation:
2^5 is 32. 32 x 5 is 260.
Hope it helps!
for this graph, mark the statements that are true
Answers
Hope this helps!!!!!
Brainliest plzzzz
The perimeter of a rectangular e room is 24 feet. Twice the length
decreased by three times the width is 4 feet. What are the dimensions e of
thg room?
Please help me
Answers
Answer:
i am gessing to divide
Step-by-step explanation:
What is 38% of 12?
Please
Answers
Answer: 4.56
Step-by-step explanation:
When you come across questions that says [a of b] this means [ab]
If you are still confused, I can provide some examples:
10% of 10=10%×10=12/3 of 6=2/3 × 6=4-----------------------------------------------------------------------------------------
Given
38% of 12
Solve
38% × 12= 4.56
Hope this helps!! :)
Please let me know if you have any questions
Is 0.7 bigger or 0.75
Answers
Answer: 0.75 Is bigger
Step-by-step explanation:
0.7 is 0.70
meaning 0.75 is bigger.
Answer:
.75 is larger
Step-by-step explanation:
Think about it in terms of whole number. 75 is greater than 70, therefore .75 is greater than .70
There is a hidden 0 after the .7