Answers
Answer:y=9x-7
Step-by-step explanation:
Answer:
y = 9x - 7
Step-by-step explanation:
Slope-intercept form is y = mx + b
Y-intercept is where x = 0. In this instance, when x = 0, y = -7 (0, -7)
So at this point we know b = -7.
Then, take one of the values of x, such as 1, as well as the corresponding value of y and plug in. When x = 1, y = 2 (1, 2)
2 = m(1) - 7
Solve for m (slope)
2 = m - 7
Add 7 to both sides to get m alone.
9 = m
Now we know the slope, and the y-intercept, so we can fill in the equation for slope-intercept form for this linear function.
y = mx + b
y = (9)x + (-7)
y = 9x - 7
Related Questions
Raul opened a savings account with 4300. Each week, x, Raul pays the dog sitter 30 from his savings account. Write a function, f(x), that is equal to the amount of money in the account after Raul pays the dog sitter each week.
Answers
Given:
Amount in the savings account = 4300
Each week, Raul pays the dog sitter 30 from his savings account.
To find:
The function, f(x), that is equal to the amount of money in the account after Raul pays the dog sitter each week.
Solution:
Let x be the number of weeks.
Raul pays the dog sitter in 1 week = 30
Raul pays the dog sitter in x week = 30x
Remaining amount = Initial amount - Amount he pays the dog sitter
[tex]f(x)=4300-30x[/tex]
Therefore, the required function is [tex]f(x)=4300-30x[/tex].
PLEASE HELP, TWENTY POINTS PLUS BRAINLIEST
Write an explicit function to represent the following sequence.
3,9, 27, 81,...
Answers
Please help me out!!
Answers
Answer:
D. 9(3.1416)
Step-by-step explanation:
Mrs. Robertson is carpeting her rectangular living room.
The room is 10 feet wide and 15 feet long. What is the
area to be carpeted?
Answers
Answer:
150 ft
Step-by-step explanation:
The formula for area is, height x width (h x w) or base x height (b x h)
10 feet is the base and 15 is the height, multiply those and you get 150
2x-2y=-10 Standard to Slope Intercept form
Answers
Answer:
y=x-5
Step-by-step explanation:
2x-2y=10
1.) subtract 2x from both sides
-2y=-2x+10
2.) Divide by -2 to get y by itself
y=x-5
Answer:
y= x+5
Step-by-step explanation:
y =mx+b is slope intercept form
Which inequality represents all values of x for which the product below is
defined?
please help very confused
Answers
Answer:
C. x ≥ 5
Step-by-step explanation:
You must meet both conditions:
(x -5) ≥ 0 and (x +2) ≥ 0
For the first condition, ...
x ≥ 5 . . . . add 5 to both sides
For the second condition ...
x ≥ -2 . . . . subtract 2 from both sides.
Since both conditions must be met, we must have ...
x ≥ 5
i hope this helps :)
HELP GIVING AWAY 55 POINTS!!!!
Pete wants to mix 4 quarts of 20% orange juice concentrate with some 60% pineapple juice concentrate to get a 50% punch concentrate for a party. How much of the 60% pineapple juice concentrate should be used? please answer ASAP and explain thought process
Answers
Answer:
12 quartsStep-by-step explanation:
Let the amount of pineapple juice be x quarts, the concentration of juice is as following equation:
4*0.2 + x*0.6 = (4 + x)*0.50.8 + 0.6x = 2 + 0.5x0.6x - 0.5x = 2 - 0.80.1x = 1.2x = 12In the expression 2a-5+4a-9, name the constants
Answers
Answer:
-5 and -9 are the constants, can also be written -14
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 3100 seats. The students left 1395 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answers
Answer: 55% of the seats in the theater were filled by the 6th graders on the trip.
Step-by-step explanation:
Given: Total seats = 3100
Seats vacant= 1395
Seats occupied by 6th graders = 3100-1395 = 1705
The percentage of the seats in the theater were filled by the 6th graders on the trip = [tex]\dfrac{\text{Seats occupied by 6th graders}}{\text{Total seats}}\times100[/tex]
[tex]=\dfrac{1705}{3100}\times100\\\\= 55\%[/tex]
Hence, 55% of the seats in the theater were filled by the 6th graders on the trip.
While standing on a 50 foot high roof, Santa throws an ornament up into
the air with an initial velocity of 40 feet per second. How long will it take to
hit the ground? Round your answer to the nearest tenth.*
PLEASE HELP ASAP!
Answers
Answer: 1.25
Step-by-step explanation: you gotta divide 50 and 40.
Every time Megan takes a sip of water, the level of the water in her glass goes down 2 inches. Which shows the correct way to find the change in the level of Megan's water glass after 3 sips?
please help me
Answers
Answer:
It changes 3 inches
Step-by-step explanation:
Because every time she takes a sip it goes down, I can’t really explain it good but it changes 3 inches as she took 3 sips of water.
Answer:
Step-by-step explanation: 1 sip = 2 in
3 sips = 6 in so 3 sips x 2 inches = 6 inches
slope=
-2/5 y-intercept = 0
Answers
jason can travel 24 miles in 1/2 hour. What is his average speed in miles per hour
Answers
Answer:
Step-by-step explanation:
If Jason travel 24 miles in 1/2 hour, he will travel 2*24=2*1/2h
48 miles/hour
or
24 miles...............................30 min
? miles in .............................60 min
(60*24)/30=48
For a dinner party, a catering company charges a set fee $150 plus $20 per person. How much will it cost for 35 people to attend the event?
Answers
Answer:
$700 for 35 people but if you want to add the fee it will be $850
What is 7.5 - 1.5 x 3?
Answers
Answer:
3
Step-by-step explanation:
7.5 - 1.5 x 3
7.5-4.5
3
It’s time to lock down the design details for the redesigned Brick and Egyptian candles. Because of manufacturing constraints, the base length for each candle has to be at least 2 cm and can be no more than 10 cm. Make a recommendation for the base dimensions of each candle. Explain how you determined your base dimensions. Your reasoning does not have to be all math related.
Answers
Answer:
THE SMALLEST FORMS:
- smallest prism ---> the cube with all sides 2 ==> the volume is 2*2*2 = 8 cm^3
- smallest pyramid number one ---> the pyramid with base sides 2 and the height also 2 ==> the volume is (1/3)*2*2*2 = 8/3 cm^3
- smallest pyramid number two ---> the pyramid with base sides 2 and the lateral sides also 2 ==> the radius of the base is sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 2^2 - sqrt(2)^2 = 4 - 2 = 2 ==> pyramid_height = sqrt(2) ==> the volume is (1/3)*2*2*sqrt(2) = 4*sqrt(2)/3 cm^3
- smallest cylinder --> the cylinder of diameter 2 and height also 2 ==> the radius is diameter/2 = 2/2 = 1 ==> the volume is pi*(radius^2)*height = pi*(1^2)*2 = pi*1*2 = 2*pi cm^3
The lesser volume is the volume of the smallest pyramid number two. ==> it's wax cost is approximately 0.0075 * 4 * 1.42 / 3 $ per candle = 0.014 $ per candle ==> the total cost per candle is approximately 0.014 + 1.6 = 1.614 $ per candle.
THE BIGGEST FORMS:
- biggest prism ---> the cube with all sides 10 ==> the volume is 10*10*10 = 1000 cm^3
- biggest pyramid number one ---> the pyramid with base sides 10 and the height also 10 ==> the volume is (1/3)*10*10*10 = 1000/3 cm^3
- biggest pyramid number two ---> the pyramid with base sides 10 and the lateral sides also 10 ==> the radius of the base is 5*sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 10^2 - [5*sqrt(2)]^2 = 100 - 50 = 50 ==> pyramid_height = 5*sqrt(2) ==> the volume is (1/3)*10*10*5*sqrt(2) = 500*sqrt(2)/3 cm^3
- biggest cylinder --> the cylinder of diameter 10 and height also 10 ==> the radius is diameter/2 = 10/2 = 5 ==> the volume is pi*(radius^2)*height = pi*(5^2)*10 = pi*25*10 = 250*pi cm^3
The bigger volume is the volume of the biggest prism (the side-10 cube). ==> it's wax cost is 0.0075 * 1000 $ per candle = 7.5 $ per candle ==> the total cost per candle is 7.5 + 1.6 = 9.1 $ per candle
The range of the cost is the interval [1.614 ; 9.1]. Depending on other prices on the market, you greed, and other factors you will put a profit margin: maybe 20% of the cost ; maybe a fixed margin like 5$. So the price per candle will be the cost per candle plus the profit margin per candle.
If I were to choose the base length I would have to say 6 because it is the arithmetic mean between 2 and 10: (2+10)/2 = 12/2 = 6. 2cm is too small, and 10cm is too big.
Also if you start with a rectangle of length 10 and width 2 and you have to find the rectangle with the largest area by being allowed to increase the width and decrease the width with the same quantity you get this:
Area of the new rectangle is (10-x)(2+x) = -x^2 + 8x + 20 = -x^2 + 8x -16 + 36 = -(x^2 - 2*x*4 + 4^2) + 36 = -(x-4)^2 + 36 = 36 - (x-4)^2 which has the maximum value of 36 because out of 36 you subtract a positive value. You get the maximum when (x-4)^2 = 0 ==> x-4=0 ==> x=4
The new length is 10-4=6 and the new width is 2+4=6.
Next I would choose the height of the prism (I like prisms :P) to be [the_golden_ratio]*[base_side] which is approximately 1.618 * 6 = 9.708 which I would round up to 10. ==> The volume would be 6*6*10 = 360 cm^3. ==> the cost would be 0.0075*360 + 1.6 = 2.7 + 1.6 = 4.3 $ per candle. And because my candle is so perfect I'd put the profit margin to be 5.69 $ per candle so I can proudly show it in the store with the price of 4.3 + 5.69 = 9.99 $ :)
Aiden was asked to find the product of 24.5 and 7.7. His work is shown below. Which statements about Aiden's work are true? Check all that apply Estimate: 25 x 8 = 200 Aiden did not make a good estimate. Actual: 24.5 x 7.7 = 1,886.5 Aiden should have estimated the product as 24 x 7. Aiden did not insert the decimal point correctly when estimating. Aiden did not insert the decimal point correctly after multiplying the actual amount. O Aiden's estimate and the actual product do not match closely enough.
Answers
Answer:
sorry for the late answer, it looks like a b and d
4 days =____ hours
????????????????????????
Answers
4 days = 96 hours.......
What is 106% of $40?
Answers
Answer:
I think it's 42.4 hope this helps
Answer:
42.4 hope this helps
Step-by-step explanation:
what is angle 1,2,3,4,5,6,7
Answers
Which of the following inequalities matches the graph? (1 point)
-10
-0
10
1. x>-3
2. x<-3
3. y>-3
4. y<-3
Answers
Given:
The graph of an inequality.
To find:
The inequality.
Solution:
From the given graph it is clear that the boundary line is a vertical line parallel to y-axis at the distance of 3 units from the left of y-axis. So, the equation of boundary line is
[tex]x=-3[/tex]
Now, the shaded portion lies on the left of the boundary line. It means the values which are less than 0 are included in the solution set.
The boundary line is a dotted line. So, x=-3 is not included in the solution set.
So, the required inequality is
[tex]x<-3[/tex]
Therefore, the correct option is B.
Select the correct answer.
What does the abbreviation IPTC stand for in photography?
A
International Photo Transfer Commission
B.
International Press Telecommunications Council
C. Internal Photo Transfer Commission
D.
Internal Protocol Transfer Council
be
E.
International Photography Trade Council
Answers
Answer:
International Press Telecommunications Council
You want to buy a $25,000 car. The company is offering a 2 % interest rate for 48 months (4 years). What
will your monthly payments be?
O $500.71
O $815.05
O $542.38
$6, 276.06
Answers
Which of the following functions maps 3 to -5?
Of(x) = x + 8
O f(x) = x-5
O f(x) = 4 – x2
O f(x) = -x + 2
Answers
Answer:I think it’s B
Step-by-step explanation:
If I get this wrong i’m sorry
The graph shows the cost of renting skates. Sadie rents a pair of skates at 10 A.M. How much will she pay if she returns the skates by 1 P.M.?
How much will she pay if she returns them at 1:15 P.M.?
1 PM: ??
1:15 PM: ??
Answers
Answer: 1 PM = $8
1:15 PM = $9.0
Step-by-step explanation:
a. Since Sadie rents a pair of skates at 10 A.M and returned the skates by 1 P.M, this means the hours spent was 3 hours. Therefore, based on the graph, for 3 hours rented, he will pay $8
The amount that she will pay if she returns them at 1:15 P.M. will be equal to the value of 3 hours 15 minutes which will be:
= $8 + $1.0
= $9.00
Complete the statement to show an equivalent ratio. ) 18:10 is equivalent to ? : 5.
Answers
Answer:
9
Step-by-step explanation:
[tex] \frac{18}{10} = \frac{?}{5} \\ \\? = \frac{18 \times 5}{10} \\ \\? = \frac{90}{10} \\ \\ ? = 9[/tex]
Answer:9
Step-by-step explanation:because if you divide 10 by 2 it’s 5 and if you divide 18/2 it’s 9
Evaluate the following for when x=5
4(x-2)(x-3)+7(x-2)(x-5)-6(x-3)(x-5)
Answers
Answer:5x^(2)-21x+4
Step-by-step explanation:
(23 PTS) WILL GIVE BRAINLIST
Answers
Answer:
Step-by-step explanation:
g(x) would be
8
4
2
0
- 2
It is already to late to answer this because my final was due yesterday:
What percent is increase if the boy had 12 comic books and bought mores so now he has 15 comic books.
Answers
Answer:
increase by 25%
Step-by-step explanation:
15-12=3
12÷3=4
4=25%
The forum of Pompeii is a rectangle 520 feet long by 109 feet wide. What's its
area?
Answers
It is 56680 square feet.
Step-by-step explanation:
Multiply the two numbers