Answers
Answer:
12=-3(-7.5)-10.5
Step-by-step explanation:
first find the slope
m=y2-y1/x2-x1
0-12=(-12)
-3.5-(-7.5)=4
-12/4=(-3)
now write the equation
y=mx+b
12=-3(-7.5)+b
now solve
-3*-7.5=22.5
22.5-22.5=0
12-22.5=(-10.5)
b=-10.5
hope this helps :3
if it did pls mark brainliest
Related Questions
What is the inverse of the function y = 4x + 5?
Answers
Answer:
y = 1/4 x - 5/4
Step-by-step explanation:
y = 4x + 5
Switch x and y.
x = 4y + 5
Solve for y.
4y = x - 5
y = 1/4 x - 5/4
The inverse of the function y = 4x + 5 is [tex]f^{-1}(x) = \frac{x-5}{4}[/tex]
The given function is:
y = 4x + 5
To find the inverse of the given function y = 4x + 5, follow the following steps:
Make x the subject of the formula:
[tex]y = 4x + 5\\\\4x = y - 5\\\\x = \frac{y}{4}-\frac{5}{4}[/tex]
Replace x by [tex]f^{-1}(x)[/tex] and replace y by x.
The resulting function represents the inverse of the function y = 4x + 5
[tex]f^{-1}(x)=\frac{x}{4}-\frac{5}{4}[/tex]
Which can be further simplified as:
[tex]f^{-1}(x) = \frac{x-5}{4}[/tex]
The inverse of the function y = 4x + 5 is [tex]f^{-1}(x) = \frac{x-5}{4}[/tex]
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Kya is mailing a package to her friend for her birthday. The United States Post Office charges her a flat fee of $8.50 for packing materials plus an additional $0.18 per ounce.
a. Define your variables:
b. Write a function that will help Kya determine how much it will cost to ship her package to her friend based on the weight of the package (in ounces).
c. Kya is trying to remember how much the package she sent weighed. She doesn’t remember the weight exactly, but she knows how much it cost her to mail the package. Write a function that will determine the weight of the package (in ounces) based on the total cost to mail the package.
d. It cost Kya $17.50 to mail her package to her friend. How much did the package weigh? Explain your solution, including the function, used to determine your answer.
Answers
Answer:
The answer is Y=8.5+0.18x
Step-by-step explanation:
Given data
Let the flat fee be $8.5
Let the additional fee per ounce be $0.18
Let the total amount to mail the package be y
Therefore the total amount is
Y=8.5+0.18x
The function is Y=8.5+0.18x
A jetliner uses 3,600 gallons of fuel per hour while it is cruising, and there are 15,000 gallons of fuel in the jetliner's fuel tank when it begins to cruise. If y represents the amount of fuel, in thousands of gallons, remaining in the fuel tank after the jetliner cruises for x hours, determine the graph of the solution set for this situation and the equation modeled by the graph.
Answers
Answer:
y = 15 - 3.6x.
Step-by-step explanation:
The initial amount of fuel before cruising begins = 15,000 gallons.
The equation is y = 15 - 3.6x where y is in thousands of gallons and x = number of hours.
73 in. is how many ft. ???
Answers
11.) The table shows four account transactions. Find the account balance after all the
account transactions if the account started at zero.
deposit $35
deposit
$25
withdrawal -$50
withdrawal -$25
Answers
Answer:
-15
Step-by-step explanation:
35+25=60
60-50=10
10-25=-15
Q. If the vertex of a parabola is (3,5), what is the axis of symmetry?
answer choices
y=5
x=5
x=3
There is not enough information provided.
Answers
Answer:
x=5
Step-by-step explanation:
The axis of symmetry is x = 3 if the vertex of a parabola is (3,5) option (C) is correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We know the vertex form of the parabola is:
y = a(x - h)² + k
Given,
h = 3
k = 5
y = a(x - 3)² + 5
The axis of symmetry:
x - 3 =0
x = 3
Thus, the axis of symmetry is x = 3 if the vertex of a parabola is (3,5) option (C) is correct.
Learn more about the parabola here:
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If S = 2(lw + lh + wh) and l = 5w, rewrite the equation for S, substituting in 5w for l.
Answers
Answer:
S = 2w( 5w + 6h)
Step-by-step explanation:
given:
S = 2(lw + lh + wh)
if l = 5w, then we simply substitute this into the expression above.
S = 2[ lw + lh + wh ]
S = 2[ (5w)w + (5w)h + wh ]
S = 2[ 5w² + 5wh + wh ]
S = 2( 5w² + 6wh) simplify by factoring out w
S = 2w( 5w + 6h)
mr.ortega sandwich shop sells and 6 inch sandwich for 3.30 and a 12 inch sandwich for 7.20 he wants to find out which sandwich is the better deal
Answers
Answer:
the 6 inch is a better deal because it is 55 cents per inch while the 12 inch is 60 cents per inch
We invested $10000 into two bank accounts. One account earns 14% per year, the other account earns 8% per year. How much did we invest into each account if after the first year, the combined interest from the two accounts is $1238?
Answers
Answer:
$7,300 was invested in the 14% account while $2,700 was invested in the 8% interest account
Step-by-step explanation:
Let the amount invested in first account be $x while the amount for second account is $y
Mathematically;
x + y = 10,000 •••••••••(i)
Interest on first account
= 14% of x = 14/100 * x
Interest on second account
= 8% of y= 8/100 * y
Adding all together will give total
14/100 * x + 8/100 * y = 1238
Multiply through by 100
14x + 8y = 123800 •••••••(ii)
From equation 1, x = 10,000 - y
Insert this into second equation
14(10,000-y) + 8y = 123,800
140,000 - 14y + 8y = 123,800
140,000 - 6y = 123,800
6y = 140,000 - 123,800
6y = 16,200
y = 16,200/6
y = $2,700
Recall
x + y = 10,000
x = 10000 - y
x = 10,000 - 2,700
x = $7,300
pls help . ily ppl are so nice
Answers
Answer:
Equals
Step-by-step explanation:
You need to know the conversion rate for tons to pounds. 1 ton is equal to 2000 lbs so the answer is =.
Bob gets paid 64 hour heard that is 2/3 Melissa makes how much is Alicia paid per hour
Answers
Answer:
64
Step-by-step explanation:
the slope of the line...................
Answers
Answer:
Y=0/0
Step-by-step explanation: since their is no fall or rise in the slope it is 0
Laura works in a furniture store. She earns $160 a week plus 6% of all sales over $2,000. One week in January, Laura’s total sales were $9,400. What were Laura’s earnings for that week?
Answers
$9,400 * 0.06 = $564
$564 + $160 = $724.00
Laura’s earnings for that week were $724.00.
Answer: $604.00
Step-by-step explanation:
The other answers are paying commission on the whole amount of sales. The question says she earns 6% commission on all sales over $2,000. This would mean she earns commission on $7,400 ($9,400 - $2,000).
$7,400 X 0.06 = $444.00 in commission.
$444.00 + $160 (weekly pay) = $604.00 total earned
Unless I am missing something or just completely having a brain cluster...Please tell me if I am wrong...
David's car could cover one lap of the Indy 500 in about 90 seconds. Chris' car could cover one lap in about 54 seconds. If both cars left the same starting point at the same time, after how many seconds would they meet again at the starting point?
Answers
Answer:
h
Step-by-step explanation:
What is the inverse of the function g(x)=5(x-2)
Answers
Answer:
[tex]\frac{x-2}{5}[/tex]
Step-by-step explanation:
The inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The inverse function is calculated as:-
y = 5 ( x - 2 )
Replace the variables with each other in the equation.
x = 5 ( y - 2 )
( x/5 ) = y - 2
y = ( x/5 ) + 2
Therefore, the inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].
To know more about functions follow
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A scientist observes and counts 155 bacteria in a culture. Later, the scientist counts again and finds the number has increased by 40%.
Answers
Answer:217
Step-by-step explanation:
What is the simplified form of
72x16
50x36
? Assume x+0.
6
5x10
6
5x2
10
Answers
Answer:
The simplified form is [tex]\frac{6}{5x^{10} }[/tex] ⇒ A
Step-by-step explanation:
To simplify a root divide the power of the variable by 2 to cancel itFactorize the coefficient of the variable and take out the repeated factor twice out the rootLet us solve the question
∵ The expression is [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex]
→ At first, divide simplify the coefficient of the variable
∵ [tex]\frac{72}{50}=\frac{36}{25}[/tex]
∵ 36 = 6 × 6 and 25 = 5 × 5
→ 6 and 5 repeated twice then the can go out the root one 6 and one 5
∴ [tex]\sqrt{\frac{36}{25}}=\frac{6}{5}[/tex]
→ Let us use the exponent rule with division [tex]\frac{a^{m} }{a^{n}}=a^{m-n}[/tex]
∵ [tex]\frac{x^{16}}{x^{36}}=x^{(16-36)}=x^{-20}[/tex]
→ To cancel the root divide the power by 2
∵ -20 ÷ 2 = -10
∴ [tex]\sqrt{x^{-20}}=x^{-10}[/tex]
∴ [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5}[/tex] × [tex]x^{-10}[/tex]
→ To change the power of x from (-) to (+) reciprocal x
∴ [tex]x^{-10}=\frac{1}{x^{10}}[/tex]
∴ [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5x^{10} }[/tex]
∴ The simplified form is [tex]\frac{6}{5x^{10} }[/tex]
The table represents some points on the graph of a linear function.
х
-7.5
-3.5
-1
2
3.5
у
12
0
-7.5
-16.5
-21
Which function represents the same relationship?
Answers
Answer:
y=-3x-10.5
Step-by-step explanation:
Let's use the first set of numbers.
-7.5 and 12
-3.5 and 0
Our rise here is -12 and run is 4. So, our slope is -3.
Now we just need our intercept.
y = mx + b
y = -3x + b
0 = -3(3.5) + b
b = -10.5
The function represents the same relationship between x and y will be x + 3y + 3.5 = 0.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
The table represents some points on the graph of a linear function.
х у
-7.5 12
-3.5 0
-1 -7.5
2 -16.5
3.5 -21
Take two points from the table, then the points are (-7.5, 12) and (-3.5, 0). Then the equation of the line is given as,
y - 0 = [(-3.5 + 7.5) / (0 - 12)](x + 3.5)
y = - (1/3)(x + 3.5)
3y = - x - 3.5
x + 3y + 3.5 = 0
The function represents the same relationship between x and y will be x + 3y + 3.5 = 0.
More about the line passing through two points link is given below.
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which is the farthest away from sea level,-3, -2, -0.8, 1/10, 1/2, 0.8, 7
Answers
Answer: 7
Of all the numbers listed, the number 7 is the greatest. If you are asking for the farthest from sea level, it is 7 because of the fact that it is the greatest number.
The answer is 7. Hope this helps!
Answer:
sea level is 0 so it would be 7
-3 -2-0.80<<<<<< sea level1/101/20.57anyone know thissss plzzz help rlly urgent I'll brainlist u !! plzzzzz
Answers
Const = 3
No of terms = 3
Corff = 7
Constant= 7
Answer:
For a:
Number of terms: 2Co-efficient of x: 2Constant: 3For b:
Number of terms: 3Co-efficient: -4 and 7Constant: 5I hope this helps!
BRAINLIEST!!!!
Question: A group of workers is harvesting berries at a constant rate. An equation that represents the total number of baskets of berries the workers picked over a period of time, in hours, is y = 7x + 15.
A) What are the slope and the y-intercept for the equation?
B) Which term represents the total number of baskets of berries the workers picked over a period of time?
C) What are the rate of change and the initial amount? Explain the meaning of the rate of change and the initial amount for the situation.
Answers
Answer:
(a) The slope and the y-intercept are 7 and 15
(b) y represents the total number of baskets of berries the workers picked over a period of time
(c) The rate and the initial amounts are 7 baskets/hour and 15 baskets
Step-by-step explanation:
Answer:
A. the slope of the equation is 7 and y-intercept is 15
B. the term "y" represents the total
C. The rate of change is 7x and the initial amount is 15. The rate of change means the "thing" (or variable) that keeps on changing and here it is the 7x. This means that every hour, the workers pick 7 baskets and this number will change based on the hours, which can is represented by the x. The 15 is our initial amount of baskets we had before starting because it is unchanging, it is our initial amount.
Explanation for A & B:
A. This equation is written in slope-intercept form which is, y=mx+b the slope is represented by the "m" and the y-intercept is represented by the "b". In simpler words, slope=m and y-intercept=b
B. When we take our given amount which is 15 baskets (y) and add it to our slope (7x) or the amount that changes based on time
we will get our total y, which represents the total amount of baskets
100 + 50% = ????? I KNOW ANSWER BUT I AM NOT SURE.
Answers
Answer:
[tex]100.5 = 100 \frac{1}{2} [/tex]
Step-by-step explanation:
[tex]100 + 50\% = 100 + \frac{50}{100} = 100 \frac{1}{2} = 100.5[/tex]
♨Rage♨
How can you find the area of a shape with fractional or decimal side lengths?
Answers
Answer:
You convert the fractions to a decimal, nut the rest is still the same
Step-by-step explanation:
4. What is the sum of trigonometric ratios Cos 16 and Cos 74?
A. 0.276
B 0.961
C. 1.237
D. 1.922
5. In triangle ABC , Tan angle A=3/4 . The hypotenuse of triangle ABC is
A 3
B 4
C. 5
D. 9
6. In triangle ABC , Sin angle B=14/17 . The hypotenuse of triangle ABC
A. 14
B17
C. 2sqrt(485 )
D. 0.824
7. In triangle ABC , Cos angle C=22/36 . The hypotenuse is
A, 22
B. 36
C.0.611
D. 2sqrt(445)
Answers
Answer:
1254.32
Step-by-step explanation:
add and subract
(2x + 5)(2x + 1)
What is the area as a sum when given as a product?
Answers
Answer:
i really have no clue what ur asking so i will solve this the way i know how to
Step-by-step explanation:
4x^2+12x+5
helppppppppp will give brainliest
Answers
Answer:
I would say about 13 minutes.
Step-by-step explanation:
9 4/5 KPH is about 6.1224489795918 Kilometers per minute
Multiply by 2 1/5 KPM
6.1224489795918 x 2 1/5 = 13.4693877551 Minutes
Answer: 13.469 or about 13.5 minutes
Step-by-step explanation:
Estimating part:
The first number can be rounded to 10, and second number to 2
You can set up a proportional equation
[tex]\frac{10 kilometers}{60 minutes} = \frac{2 kilometers}{x}[/tex]
then cross multiply to get 10x=120, then divide to get x = 12 minutes
Exact answer:
I like making fractions into decimals to make it easier to see
The first number as a decimal is 9.8, and the second is 2.2
Set up another proportional equation
[tex]\frac{9.8 kilometers}{60 minutes} = \frac{2.2 kilometers}{x}[/tex]
cross multiply to get 9.8x = 132
divide by 9.8 on both sides to get x = 13.5 minutes
get a........................
Answers
What is the image of the point (-5,-7) after a rotation of 270 counterclockwise about the origin
Answers
Answer:
Your answer will be (-5,7).
Step-by-step explanation:
Answer:
(-7,5)
Step-by-step explanation:
Select the graph that would represent the best presentation of the solution set.
|y+2| > 6
Answers
Answer:
e
Step-by-step explanation:
make 2 equations:
-equation 1: y+2>6
equation 2: -y-2>6
Then solve for each, and you will end up with -8>y>4
Help me please find x to this answer I'm very desperate.
Answers
Answer:
I'm not 100% sure if I did it right but I got x=1
Step-by-step explanation:
They are equal to each other cause it is an isosceles triangle
10x-3=5x+2
add the 3 to both sides
10x=5x+5
subtract the 5x from both sides
5x=5
divide the 5 from both sides
x=1