Answer:
Please check the explanation.
Step-by-step explanation:
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the slope or rate of change and b is the y-intercept
Let 'x' be the number of daysLet 'y' be the total costAn equipment rental company charges $40 per day to rent a trench digger.
It means the rate of change = $40 per day
We know that the rate of change is also termed as the slope.
Thus,
m = 40
Given that a construction crew rented a trench digger for 6 days and paid 270.
It means at x = 6, y = 270
substituting (x, y) = (6, 270) and m = 40 in the slope-intercept form to determine the y-intercept 'b'
y = mx+b
270 = 40(6) + b
270 = 240 + b
b = 270 - 240
b = 30
Thus, the y-intercepy b = 30
Now, substituting m = 40 and b = 30 in the slope-intercept form
y = mx + b
y = 40x + 30
Thus, the equation of line in the slope-intercept form is
y = 40x + 30
VERIFICATION:
Put x = 6, in the equation to determine the total cost for 6 days
y = 40x + 30
y = 40(6) + 30
y = 240 + 30
y = $270
Thus, the total cost for days rent = $270
Therefore, x must be equal to 6 i.e. x = 6 to find the total cost i.e. y = 270.
A store sells candles. Each cans,e costs the same amount. During a sale, the store reduces the price of each candle by $1.70, Owen spends $11.96 on 4 candles at the sale price. What was the price of 1 candle before the sale?
Which ordered pair represents the translation of R to S?
Which expression represents the phrase 17 less than three times a number
This is an algebra expression. What we do is write it down in simplest form.
1. Write down equation
= 17 - 3 x n
= 3 x n + (-17)
I hope this answer helped. Have a great day everyone!
select the correct answer which graph passes the vertical line test
Answer:
Step-by-step explanation:
Do you have the options?
For the vertical line test, you can only use the X once per Y. You can not have more than one X.
f the line with equation y=−2x+7 is rotated 90° clockwise about the origin, what are the coordinates of the image of its y-intercept?
A. (2,0)
B. (7,0)
C. (0,−7)
D. (−7,0)
Answer:
B
Step-by-step explanation:
I looked it up
The line with equation y=−2x+7 is rotated 90° clockwise about the origin, the coordinates of the image of its y-intercept is D (−7,0).
What is y-intercept of a function?The intersection of the graph of the function with the y-axis gives y-intercept of that function.
The y-intercept is the value of y on the y-axis at which the considered function intersects it.
Assume that we've got: y = f(x)
At y-axis, we've got x = 0, so putting it will give us the y-intercept.
Thus, y-intercept of y = f(x) is y = f(0)
To find the y-intercept of the line y=-2x+7. When x=0 we have that y=-2·0+7, y=7,
then point (0,7) is the y-intercept.
When we rotate this line 90° clockwise about the origin, then point (0,7) will be placed on the x-axis in positive x-direction.
Rotation preserves the distances, then the coordinates of the image are (7,0).
The correct choice is D (−7,0).
Learn more about y-intercept here:
https://brainly.com/question/16540065
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Y -7=2
6. Help me please ayuda
Answer:
54
Step-by-step explanation:
First add 7 to both sides to cancel out the -7
y/6-7(+7)=2(+7)
Then, multiply 6 to both sides to cancel the 6
y/6(6)=9(6)
y=54
PLEASE HELP ILL GIVE BRAINLIEST!!
Answer:
Yes it is yellow
Step-by-step explanation:
You are correct
Helpppppppppppppppppp
3.4 code practice: Question 1
Answer:
color = input("What color? ")
if (color == "yellow"):
print("Correct!")
else:
print("Nope")
Mrs. Piazza invested $8000 in a certificate of deposit that pays 3% simple interest for 4 years. How much will be in Mrs. Piazza's account at the end of 4 years?
Answer:
$8960
Step-by-step explanation:
Given
principal = $8000
rate= 3%= 0.03
time = 4 years
Required
the final amount, we assume that this is a simple interest investment.
Step two:
[tex]A= P(1+rt)\\\\A=8000(1+0.03*4)\\\\A=8000(1+0.12)\\\\A=8000*(1.12)\\\\A=8960[/tex]
The final amount in the account is $8960
Chris has $100 in his saving account and he adds $20 a month to the account. The total amount can be represented by the linear function T=20x+100. His goal is to have a total of $300 in four months. What should he change in the function to reach this goal?
HELPPPPPPPPPPPPPPPPPP!
Please help me out!!!!!
Answer:
Step-by-step explanation:
Over the past month, a hairstylist has had 56 female clients and 24 male clients. What is the ratio of male clients to female clients for this hairstylist?
Answer:
24:56
Simplified: 8:7
Step-by-step explanation:
A student starts a new semester with $30 in their lunch
account.Each lunch at school costs $1.75.What is the relationship between the number of school
lunches purchased, n, and the dollar amount in the account, A?
Answer:
28.25
Step-by-step explanation:
Somebody help um please
Answer:
the last one and the second one I think. Maybe the first one not very sure.
Walkway Over the Hudson, a bridge that crosses the Hudson River in Poughkeepsie, is 2.063
kilometers long. Anping Bridge, which was built in China 850 years ago, is 2.07 kilometers long.
a. What is the total span of both bridges?
Show your thinking
b. How much longer is the Anping Bridge
than the Walkway Over the Hudson?
Answer: 4.126 km
Step-by-step explanation:
First, We have to find total span of both bridges
As Question indicates 'total' ,that is, we have to find bridge length in total ( You can join Bridges to have better understanding)
Now, Walkway over hundson Bridge length= 2.063 km
Amping bridge length= 2.07 km
So, Total span of both bridges = 2.063+2.07 = 4.133 km
b) Now Leah wanna walk across and back on walkway over hudson ,that is, she wanna return to starting point from where she walk forth
So,that means, she walk double distance of length of walkway over hudson
So, total distance = 2× 2.063
= 4.126 km
hope this helps,
Plzzs give brainliest if you like my answer.
6n – 4 + 5n - 5 what is the awnser
Answer:
11n-9
Step-by-step explanation:
6n-4+5n-5
11n-4-5 Combine like terms
11n-9
help me please!!!!!!!!
Answer:
(5x-1)(3x+2)
(if you don't want to do all of this you can use
Step-by-step explanation:
((3•5x2) + 7x) - 2
Factoring 15x2+7x-2
The first term is, 15x2 its coefficient is 15 .
The middle term is, +7x its coefficient is 7 .
The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 15 • -2 = -30
Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is 7 .
-30 + 1 = -29
-15 + 2 = -13
-10 + 3 = -7
-6 + 5 = -1
-5 + 6 = 1
-3 + 10 = 7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 10
15x2 - 3x + 10x - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (5x-1)
Add up the last 2 terms, pulling out common factors :
2 • (5x-1)
Step-5 : Add up the four terms of step 4 :
(3x+2) • (5x-1)
Which is the desired factorization
Answer:
(5x-1)(3x+2)
Step-by-step explanation:
hope this helps!!
Can someone please help me with my math asap
Answer:
A) 15x - 12
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
5x(3 - 12x) - 3(4 - 20x²)
Step 2: Simplify
Distribute: 15x - 60x² - 12 + 60x²Combine like terms: 15x - 121) the sum of 8 and t
3) the product of 5 and b
Step-by-step explanation:
When we say sum we are referring to addition.
And a number and a variable(letter) can't be added. So the sum of 8 and t can't be added.
The sum of 8 and t is;
8+t
When we talk about product or finding the product of a number we are referring to the number we get after multiplying two or more numbers.
And note that with multiplication, a number and a variable(letter) can be multiplied.
The product of 5 and b is;
5×b=5b
what makes a solution different from other mixtures?
plz help
Answer:
In a mixture, substances are generally just mixed and are not completely dissolved. In a solution, substances are dissolved completely and they cannot be filtered out. Mixture comprises two or three compounds that aren't fused chemically. They have no physical interaction
Step-by-step explanation:
What is the area of the trapezoid?I WILL GIVE brainliest! to the first person to answer correct
Answer:
30 i could be wrong
Step-by-step explanation:
sorry
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. -91, -194, -291, -388
Answer:
[tex]T_n = -97n[/tex]
Step-by-step explanation:
The actual sequence is: -97, -194, -291, -388
Required
Determine the nth term
nth term of an arithmetic progression is:
[tex]T_n = T_1 + (n - 1)d[/tex]
Where
[tex]T_1 = First\ Term = -97[/tex]
[tex]d = Common\ Difference = -194 - (-97) =-97[/tex]
So:
[tex]T_n = T_1 + (n - 1)d[/tex] becomes
[tex]T_n = -97 + (n - 1) * -97[/tex]
[tex]T_n = -97 -97n + 97[/tex]
Collect Like Terms
[tex]T_n = -97n + 97-97[/tex]
[tex]T_n = -97n[/tex]
Hence, a term of the sequence is:
[tex]T_n = -97n[/tex]
If A = 117 degrees, B = 12 degrees, and b = 12, find a. Round to the nearest tenth.
Answer:
a = 51.4Step-by-step explanation:
sinA = sinB
a b
sin(117) = sin(12)
a 12
a * sin(12) = 12 * sin(117)
a = 12 * sin(117)
sin(12)
a = 51.4
HOW DOES THE GRAPH OF F(X) = 4(X - 3)^2 + 1 DIFFER FROM THE GRAPH OF G(X) = 2 (X -3)^2 + 1. please explain so i can understand!! thxx
Answer:
6732FDX
Step-by-step explanation:
Use calculator
What is this
y=3x-4
Answer:
4/3 or 1.3
Step-by-step explanation:
y= 3x-4
To find x- intercept/zero, Substuite y=0.
0= 3 x -4
Move the variable to the left-hand side and change its sign
-3x= -4
Divide both sides of the equation by -3
x= 4/3
(1.3 as a decimal)
Solve the exponential equation: 6–2x = 62 – 3x
Question 1 options:
A)
4
B)
–2
C)
3
D)
2
Answer:
x = 56
Step-by-step explanation:
Collect like terms:6 - 2x = 62 - 3x
-2x + 3x = 62 - 6
1x = 56
x = 56
Check your answer:6 - 2(56) = 62 - 3(56)
6 - 112 = 62 - 168
-106 = -106
I don't understand the answer choices that are given. Please mark me the Brainliest!?!
Plz ANSWER QUICK! WILL GIVE BRAINIEST! ANSWER CORRECTLY!
20 percent of 120 is the same as 25 percent of what number?
A. 960
B. 96
C. 15
Emma's grandmother sent her an $80 bookstore gift card for her birthday. Emma wants to make sure that her purchases don't exceed the amount of her gift card. So far, she has selected books that cost $8.95, $11.95, $22.25, and $24.95. She has also found a calendar she likes for $8.25. Round each item up to the next dollar to overestimate the total cost of the items in Emma's shopping basket.
Answer: total cost of the estimated items = $76
Step-by-step explanation:
Step 1
Rounding up each item to the next dollar
Book 1 = $8.95 ≈ $9.00
Book 2 = $11.95≈ $12.00
Book 3 = $22.25≈$22.00
Book 4 = $24.95≈$25.00
Calendar = $8.25 ≈$8.00
Step 2
The total estimated cost of items in Emma's shopping basket =$9.00+$12.00+$22.00+$25.00+$8.00
=$76 which did not exceed the amount of bookstore gift card of $80 sent by her grandmother.
Answer: 78$
Actual Estimate
$8.95 --------------------------$9.00
$11.95--------------------------$12.00
22.25--------------------------$23.00
$24.95------------------------$25.00
$8.25--------------------------$9.00
Then add the estimate numbers to get $78