Answers
Answer and explanation: The equation for the slope-intercept form is y=mx+b. M represents the slope and b is y-intercept/when x= 0.
We have to arrange the given equation into the form y=mx+b.
3x+2y=-14, We want to somehow isolate y.
2y=-14-3x, We can move all the terms that don't have y to the right
y=(-14-3x)/2, We can get rid of the 2 by dividing by 2 on both sides
y=-7-(3/2)x, We can distribute the division by 2 to both terms on the right
y=-(3/2)x-7, We can now just rearrange the terms
The equation is now in the form y=mx+b as -3/2 is m and -7 is b. Your answer to the first question is A.
For part B, we can use the equation for part A. We know m or the slope is -3/2 so our answer is also A.
Related Questions
The length of a rectangle multiplied by 3 is equal to 4 times its width. The perimeter is 8 2/5 feet. Find the length and width.
Answers
Answer:
W=1 4/5 feet
L= 2 2/5 feet
Step-by-step explanation:
3L = 4W L = 4W/3
2L+2W = 8 2/5
Substitute L
2(4W/3)+2W = 8 2/5
8W/3+2W = 8 2/5
multiply both sides by 3
8W+6W = 24 6/5
14W = 25 1/5
Divide both sides by 14
14W/14 = (25 1/5)/14
W = (126/5)/14 = 9/5 = 1 4/5
Substitute for W
L = 4(1 4/5)/3
L = (4)(9/5)/3 = (36/5)/3 = 12/5 = 2 2/5
The perimeter is an enclosed area of any two or one-dimensional shape.
The perimeter of a rectangle is given by:
[tex]\rm P = 2 ( L + B )[/tex]
The length is [tex]\rm 2 \dfrac{2}{5} feet[/tex] and the width of the rectangle is [tex]\rm 1\dfrac{4}{5} feet[/tex].
This can be calculated by:
Given,
Perimeter (P) = [tex]\rm 8 \dfrac{2}{5} feet[/tex]Let,
Length = LWidth = WSince,
3L = 4W
[tex]\rm L = \dfrac{4W}{3}[/tex]
Substituting the value of L in the equation of perimeter:
[tex]\rm 2(\dfrac{4W}{3}) + 2W = 8 \dfrac{2}{5}[/tex]
[tex]\rm \dfrac{8W}{3} + 2W = 8 \dfrac{2}{5}[/tex]
Now multiplying the left and right sides by 3 we get:
[tex]\rm 8W+6W = 24 \dfrac{6}{5}[/tex]
[tex]\rm 14W = 25 \dfrac{1}{5}[/tex]
Now divide both sides by 14:
[tex]\rm \dfrac{14W}{14} =\dfrac{(25 \dfrac{1}{5})}{14}[/tex]
[tex]\rm W = \dfrac{(\dfrac{126}{5})}{14} \\\\= \dfrac{9}{5}[/tex]
[tex]\rm W = 1 \dfrac{4}{5}[/tex]
Now substituting the value of W, length can be calculated:
[tex]\rm L = \dfrac{4(1 \dfrac{4}{5})}{3}[/tex]
[tex]\rm L = \dfrac{(4)\dfrac{9}{5}}{3} \\\\= \dfrac{(\dfrac{36}{5})}{3} \\\\= \dfrac{12}{5}[/tex]
[tex]\rm L = 2 \dfrac{2}{5}[/tex]
Therefore, length is [tex]\rm 2 \dfrac{2}{5} feet[/tex] and width is [tex]\rm 1\dfrac{4}{5} feet[/tex].
To learn more about the perimeter of rectangle follow the link:
https://brainly.com/question/8966512
Activity
Rylee shopped at a clothing store, where she spent $36.50 plus 8% tax. Then, she spent $25 to refuel her car at the gas station. Finally, she bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase.
Complete the following steps to help Rylee find the net change to her banking account balance.
Part B
Write an expression that represents the net change in Rylee’s bank account balance after paying for fuel at the gas station.
Part C
Use decimal numbers to write an expression that represents the net change in Rylee’s bank account balance after paying for groceries.
Part D
Finally, use decimal numbers to write an expression that represents the net change in Rylee’s bank account balance for her entire shopping trip. Use your answers from parts A through C to guide you.
Part E
Simplify the expression in part D to find the net change in Rylee’s bank account balance. Express your answer as a decimal number.
Answers
Step-by-step explanation:
We are told that she initially spends $36.50 at the clothing store plus 8% tax.
8% of $36.50 is:
8 / 100 * 36.50 = $2.92
Her total spending at the clothes store is therefore
$36.50 + $2.92 = $39.42
She then spend $25 to refuel her car.
She then bought groceries worth $23.50 and handed over a coupon for a 20% discount on her purchase.
20% discount means 20% of her cost was deducted from what she was supposed to pay and she only paid 80% of the amount she was supposed to pay.
80% of $23.50 is:
80 / 100 * 23.50 = $18.80
Therefore, her total cost (change in her account balance) is:
$39.42 + $25 + $18.80 = $83.22
The total charge to her account balance is $83.22.
Answer:
A)
Rylee bought $36.50 in clothes. This money is leaving her bank account, so represent the amount with a negative sign: -$36.50.
The tax on her purchase is 8%, so the tax amount is 0.08 × -$36.50. The expression that represents the net change in her bank account is -$36.50 + (0.08 × -$36.50).
Further simplify the expression by factoring -$36.50 from both terms:
-$36.50 + (0.08 × -$36.50)
=
-$36.50(1 + 0.08)
=
-$36.50(1.08).
B)
Rylee spent $25 for fuel at the gas station. This money is leaving her bank account, so represent the amount with a negative sign: -$25.
C)
The original price of Rylee’s groceries was $23.50. This money is leaving her bank account, so represent the amount with a negative sign: -$23.50.
Rylee got a 20% discount on her purchase. In other words, she got 20% of her money back. The expression that represents the net change in her bank account is -$23.50 – (-$23.50 × 0.2).
Further simplify the expression by factoring -$23.50 from both terms:
-$23.50 – (-$23.50 × 0.2) = -$23.50(1 – 0.2)
= -$23.50(0.8).
D)
clothing store:
-$36.50(1.08) or -$36.50 + (0.08 × -$36.50)
gas station:
-$25
grocery store:
-$23.50(0.8) or -$23.50 – (-$23.50 × 0.2)
After adding the three expenses:
-36.5 + (-36.5)(0.08) + (-25) + (-23.5) − (-23.5)(0.2) or
(-36.5)(1.08) + (-25) + (-23.5)(0.8).
E)
(-36.5)(1.08) + (-25) + (-23.5)(0.8) = -$83.22
enjoy :)
Sarah makes 1/2 pound of caramel popcorn and puts it in a bags that hold 1/8 of a pound which equation can used to find how many bags she can fill
Answers
Answer:
1/2 ÷ 1/8 =b
Step-by-step explanation:
someone please help with the if the domain is restricted between -2
Answers
Answer:
The awnser is c.
The answer is C.
M(4, 2) is the midpoint of RS. The coordinate of S are (6, 1). What are the coordinates of R?
Answers
Answer:
Step-by-step explanation:
Compare coordinates of S and M
difference in x-coordinates = 4-6 = -2
difference in y-coordinates = 2-1 = 1
x-coordinate of R = x-coordinate of M - 2 = 4-2 = 2
y-coordinate of R = y-coordinate of M + 1 = 3
R(2,3)
(2x)⁴ = (2x)(2x)(2x)(2x)
(xy)⁷ =
(-ab)⁶ =
write in expanded form
Answers
Step-by-step explanation:
(xy)(xy)(xy)(xy)(xy)(xy)(xy)
(-ab)(-ab)(-ab)(-ab)(-ab)(-ab)
Find the area of a rectangular carpet the measures 3 1/3 feet by 3 feet
Answers
Answer:
10 feet
Step-by-step explanation:
What is an
equation of the line that passes through the points (8, 5) and (-6, 5):
Answers
Answer:
y=8
Step-by-step explanation:
formula of a line equation
y=MX+c
m=Y2-Y1÷X2-X1
m=5-5÷-6-8
m=0÷-14
m=0
substitutionusing (8,5)
8=0(5)+c
8=c
show that the function below even or odd. f(x) = 3 X5 / 1+X3
Answers
Answer:
i think the answer is
[tex]f(x) = \\ - \frac{45x {}^{2} }{(1 + x {}^{3}) {}^{2} }[/tex]
Use the equation to complete the table.
d
t=2
- 2
d
23
20
17
14
11
t
Answers
Answer:
B taken the test before
Step-by-step explanation:
The ratio of the volume of orange juice in Glass A to the volume of orange juice in
Glass B is 5: 3. Half of the orange juice in Glass A is poured into Glass B. What is the
new ratio of the volume of orange juice in Glass A to the volume of orange juice in
Glass B?
Answers
Answer: A:B = 3:13
Step-by-step explanation:
B 5, A 3 (double to get rid of halves)
B 10, A 6, —> B 13 A 3
The question needs you to find the new ratio of the glasses
The new ratio of glass A to glass B = 2.5 : 5.5
Glass A = 5
Glass B = 3
Half of the orange juice in Glass A is poured into Glass B
B = 3 + 1/2 of 5
= 3 + (1/2×5)
= 3 + 5/2
= 6 + 5 / 2
= 11/2
B = 11/2
= 5.5
A = 5 - 1/2 of 5
= 5 - (1/2×5)
= 5 - 5/2
= 10-5/2
= 5/2
= 2.5
The new ratio of glass A to glass B = 2.5 : 5.5
Read more:
https://brainly.com/question/19473677
To get to the baseball game, Todd drove 2 hours and 10 minutes, stopped for 15 minutes, then drove 1 hour 15 minutes more to get to the game. If he arrived at 6:10, what time did he leave?
Answers
Which of the following is a pair of
vertical angles?
B
A
B
х
ООО
с
D
A. ZAXD and ZAXC
B. ZBXC and DXE
C. ZAXB and ZDXE
D. ZAXE and ZBXC
Answers
Answer:
B. <BXC and <DXE
Step-by-step explanation:
Vertical pair of angels are two opposite vertical angles formed when two traight lines intersect each other. They are of equal measure.
From the diagram, <BXC is vertically opposite to <DXE. Therefore they are a pair of vertical angles.
How do I solve × + 12, × = 15
Answers
Answer:
27
Step-by-step explanation:
x+12
Let x=15
15+12
27
Answer:
x = 15th root of (-0.067) = -0.83482
Step-by-step explanation:
the options are
A. 1
B. -1
C. 1
D. 1
Answers
can someone help me with a two step equation that will be x=2
Answers
Answer:
i can help
Step-by-step explanation:
Answer:
Step-by-step explanation:
2
This is the equation
5(15+3)
Answers
Answer:
90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
The 5 would distribute into the 15+3 so that it would be (15x5)+(3x5)
And then you would get 75+15 which is 90
graph a triangle (XYZ) and reflect it over the line y=x to create X'Y'Z'. describe the transformation using words.
Answers
Answer:
Step-by-step explanation:
Each vertex will appear on the other side of the line y=x a the exact same distance that it originally had to the line.
The distribution of waiting time for an elevator in an office building is shown above. What is the probability you’ll have to spend between 30 and 70 seconds waiting for the elevator?
Answers
Answer:
I don't think this question can be answered without more info
5x-7y=58
Y=-x+2
X=
Y=
Answers
Answer:
Since, Y = x + 2
so, 5x-7y = 58
5x-7×x+2 = 58
5x-7x = 58
-2x = 58
x = 58÷2
x = 29
Alonzo makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.
Answers
Answer:
25
Step-by-step explanation:
7 times the sum of 3 and q
one-fourth of z is subtracted from 6
Answers
Answer:
7(3+q)
(Z)/(1/4) - 6
Evaluate Square root b2 - 4ac when a = 1, b = -6, and c = 9.
Answers
Answer:
[tex]x=3[/tex]
the fork is my user
Answers
Answer:
cool
Step-by-step explanation:
Answer:
LOL that's just
Step-by-step explanation:
epik uhhh wsg?
1. Which numerical expression has the value of 60?
4. (12+ 4) 3 b. 12 - 14 - 3) c.** 12 + 3)
d. 12 - 4-3
Answers
Answer:
sorry but I can't really tell if any of them have 60 it kind of looks like none of them have 60 unless theres a bit multiplying then maybe I can help but other wise right no sorry
Which is the correct factorization of x 2 - 10x -24? please tell me
Answers
Answer:
-2(5x+11)
Step-by-step explanation: you have to find the polynomial
Answer:
ufmmvfjyffvjjghjghncffgghjvdthvdfbn
I WILL MARK BRAINLEST PLS
Oki received a statement on her Certificate of Deposit showing that her investment had returned $8,000 over its life. If the Certificate of Deposit pays a simple interest rate of 4% and her initial investment was $ 20,000, how long had the money been invested?
Select one:
a. 130.1 months
b. 10 years
c. 10.8 years
d. 80 months
Answers
Answer:
b) 10 years
Step-by-step explanation:
8,000 x .04 = 800 x 10 = 8000
Hope that helps!
Answer:
10
Step-by-step explanation:
Find the area of the composite figure below.
2 ft
2 ft
6 ft
4 ft
8 ft
22 ft2
30 st²
36 ft²
38 ft
Answers
Answer:
A = 139.25
Step-by-step explanation:
Using the data from the table to finish constructing the dot plot, how many dots should be placed for the value 2?
A)
2
B)
D)
Answers
Answer: 5 dots should be placed on value 2.
Step-by-step explanation:
Answer:
there should be 5 dots
Step-by-step explanation:
PLEASE HELP MUST BE AT LEAST 5 SENTENCES PLEASE HELP DUE IN 5 MINS
Answers
Answer:
I think that Thomas Clarksons motive for publishing this drawing of a slave ship was to inform people what it was like. He wanted to show how crowded it was. Thomas might have wanted to show how people were treated.
( i dunno what else to put but you could talk about how he felt about the slave trade)