Answer:
(a) y = 1/4x - 4
(b) y = -4x + 17
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
(a)
Parallel lines have the same slope but different y-intercepts.
m = 1/4x
y = 1/4x + b
-2 = 1/4(8) + b
-2 = 2 + b
b = -4
y = 1/4x - 4
(b)
Perpendicular lines have the negative reciprocal slope.
m = -4
y = -4x + b
1 = -4(4) + b
1 = -16 + b
b = 17
y = -4x + 17
Express the ratio below in its simplest form.
4:2:2
Answer:
2: 1 : 1
Step-by-step explanation:
4:2:2
Divide all sides by 2
4/2:2/2:2/2
2: 1 : 1
There are 160 students in 7th grade. The 7th grade is larger than the 8th grade by 24 students. Write an equation to calculate how many students are in the 8th grade and solve it.
Answer:
160-24=x
Step-by-step explanation:
Rearrange to make a the subject:
v=u+at
Answer:
a = [tex]\frac{v - u}{t}[/tex]
Step-by-step explanation:
v = u + at
u + at = v
at = v - u
a = [tex]\frac{v - u}{t}[/tex]
A concentrated cleaning solution must be mixed with water in a container that allows users to spray onto the surfaces they need to clean. Pam’s mom asked her to add 30 ounces of cleaning concentrate into the sprayer and then add water to fill the sprayer. Her father told her that the sprayer must contain 20% cleaning concentrate and 80% water.
a. How many ounces does the sprayer hold?
ounces
b. How much water was added to the sprayer?
ounces
Answer: The sprayer can hold 150 ounces, and Pam needs to add 120 ounces of water.
Step-by-step explanation:
The data that we know is:
We must use 30 oz of cleaning concentrate.
The end product must be 80% water and 20% cleaning concentrate.
This means that:
Mass of water/total mass in the sprayer = 0.8
mass of cleaning concentrate/total mass in the sprayer = 0.2
Then, let's define the variables:
X = ounces that the sprayer can hold.
Y = ounces of water added.
Then we have the equations:
30oz + X = Y.
30oz/Y = 0.20
X/Y = 0.80
From the second equation we can find the value of Y.
30oz = 0.20*Y
30oz/0.20 = Y = 150oz.
Then the sprayer can hold 150 ounces.
Now from the third equation we have:
X/Y = 0.8
We know that Y = 150oz
Then:
X/150oz = 0.8
X = 0.8*150oz = 120 oz.
Then the water that must be added is 120 ounces.
The price for 3 pounds of apples is $3.99. What is the unit rate?
Answer:
the unit rate is 1.33$ per pound of apples
Step-by-step explanation:
you can rewrite the word problem as
3x = 3.99.
now just divide both sides by 3.
3x / 3 = 3.99/3
x = 1.33
What is the distance between the points (11, -18) and (-10, -18) in the coordinate plane?
Answer:
21 units
Step-by-step explanation:
Find the distance between the points (-4, 3) and (-4,-6)
Answer:
5.099
Step-by-step explanation:
I need the answers too these, MAJOR QUIZ GRADE !!
Answer:
the answer is B cause I just took a test with this question
I need help with this:v
Answer:
t>=45
Step-by-step explanation:
Derek wants to determine the height of the top of the backboard on the basketball goal at the playground. He places a standard 12-inch ruler next to the goal post and measures the shadow of the ruler and the backboard. If the ruler has a shadow of 10 inches and the backboard has a shadow of 7 feet, then how high is the top of the backboard?
A.
9.41 feet
B.
8.4 feet
C.
9.66 feet
D.
6.63 feet
Please help me with all of them please?
Answer:
it shoudl be 2
Step-by-step explanation:
Answer:
3,7,11,9,5,1 all = 100
the rest = 80
Simplify the following expression: NEEED HELP PLLZ:(
2x − 8y + 3x2 + 7y − 12x
A 3x2 − 14x − y
B 3x2 − 10x − y
C 3x2 − 10x − 15y
D 3x2 + 10x − y
Step-by-step explanation:
I'm pretty sure that it is C.3x2-10x-15y
8^x = 2 write down the value of x
The required simplified value of the given expression is x = 1/3.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression is an exponential expression,
Though,
8ˣ = 2
Taking logs on both sides,
xlog8 = log 2
x = log2/log8
x = log2/3log2
x = 1/3
Thus, the required simplified value of the given expression is x = 1/3.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2
I need help pls pls pls
Answer:
A. the study had no control group
Which ordered pair locates point P on the coordinate plane?
Answer:
(-3,-2)
Step-by-step explanation:
Answer:
The answer is A.
Suppose there is a 1.8*F drop
Answer:
That -16*C Celsius
Step-by-step explanation:
what’s the domain for 16.95x+4.75
Answer:
16.95
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
m = Slope
Step 3:
16.95x + 4.75 Equation
Answer:
16.95
Hope This Helps :)
Jenny’s backyard it cost $76.00 per square yard to build the deck is 9 yards wide and 11 yards long how much did it cost to build the deck
Answer:
Jennys backyard cost 7524 doll hairs.
Step-by-step explanation:
11x9=99
76x99=7524
hope this helps!!
what is 6587436587458946598x748365983274836587483206487 equal
Answer:21
Step-by-step explanation:
USE A CALCULATOR
Answer:
4.9298135 is the answer maybe next time Use a Calculator
Helps me solve this problem please 6
Answer:
I believe its C
Hope that helps
Step-by-step explanation:
There are no other x's from your original 4 that are 3
x>-4
Examine the inequality and its graph.
6 5 4 -3 -2 -1 0 1 2
Which values are part of the solution set? Check all
that apply.
O x= 3
x= -5
OX=--
1
2
x= -4.5
x= -4
Answer:
A and C
Step-by-step explanation:
did assignment on edge
Explain how to identify a starting position on a line.
Answer:
it depends on the type of line but for a straight line the starting point is always the edge that is A
Dan raked 6 bags of leaves in 50 minutes. At what rate did
Dan rake?
PLEASEEE HELP MEE
Simplify the expressions below by using the rules of exponents. A.2^4 B.3^0 C.4^6∙4^(-3) D.(2^3 )^2 Answer:
Answer:
The three rules that we have are:
[tex]x^a*x^b = x^{a + b}[/tex]
[tex]\frac{x^a}{x^b} = x^{a - b}[/tex]
[tex](x^a)^b = x^{a*b}[/tex]
Then let's solve the problems:
A) 2^4 = 2^(2*2) = (2^2)^2 = 4^2 = 16.
B) 3^0 = 3^(a - a) = 3^a/3^a = 1. (for any real number a)
From this we can conclude that the power 0 of any number is equal to 1.
C) 4^6*4^(-3) = 4^(6 - 3) = 4^3 = 64
D) (2^3)^2 = 2^(3*2) = 2^6 = 64
Wanda prepared 14 pizzas after working 2 hours. If Wanda prepares
Dizzas at the same rate, how many hours would Wanda have to work
to prepare 42 pizzas?
Answer:
6 hours
Step-by-step explanation:
I hope this helps. Have a good day!
Answer:
6
Step-by-step explanation:
you divide 14 by 2 and get 7 then you add 7's together till they add up to 42 and then you count the 7's
7+7+7+7+7+7=42
equations that are equivalent to 6x-4/2
The fastest recorded lava flow moved at an average speed of 7 miles per hour. The function y = 7x
describes the distance y the lava moved on average in x hours. Graph the function. Use the graph to
estimate how many miles the lava moved after 6.5 hours.
50
y
45
40
35
30
25
20
15
10
5
.
0
0
1
2
3
4
5
6
7
8
9
10
?
y = 7x
Put this on a graph (I recommend putting the coordinates into desmos for easy graphing)
0 hours: (0, 0)
1 hours: (1, 7)
2 hours: (2, 14)
3 hours: (3, 21)
4 hours: (4, 28)
5 hours: (5, 35)
6 hours: (6, 42)
6.5 hours: (6.5, 45.5)
After 6.5 hours the lava would have travelled approximately 45.5 miles
I hope this helps you!
Hello, 40 POINTS + BRAINLIEST to a answer with a long explanation. The question below is just an example, I need to know how to solve exponents.....
The prime factorization of _________ is 2 (to the fourth power) × 5.
How do you solve with the fourth power thing? I am confused....
Please help as soon as possible :)
Answer:
you times the number by itself the number of times the power is. 10 to the fourth power is 10 times 10 times 10 times 10, etc.
Step-by-step explanation:
For instance 10 to the third power is 1000 because 10 times 10 times 10=1000/
For your example the answer is 2 times 2 times 2 times 2=16. To figure out how much you times it by is if it is to the power of 4, you times it by itself 4 times, power of 5 = times it by itself 5 times, etc. Hope it helps!
Help me please..
Help me with the ones which are marked
8 points and brainliest
Answer:
1. 30
2. C = 18.3 B = 25% A=15 % rest = unkown
Step-by-step explanation:
to find X is what percent of Y
X/Y multiplied by 100
Study the model to answer the question.
Two area models. The first model has 4 shaded parts. The second model has 3 shaded parts and 1 unshaded part.
Which division problem does the model represent?
StartFraction 7 Over 4 EndFraction divided by one-half = 3 and one-half
StartFraction 7 Over 4 EndFraction divided by one-third = 3 and one-half
StartFraction 7 Over 4 EndFraction divided by two-thirds = 3 and one-half
StartFraction 7 Over 4 EndFraction divided by 3 = 3 and one-half
Answer:
A 7/4÷1/2=31/2
Step-by-step explanation:
Answer:
7/4÷1/2=31/2
Step-by-step explanation:
i got it correct