select the equation that represents a lone in which intercepts the vertical axis at b. assume m≠0, b ≠ 0, and m≠b.
A. y = mx
B. y = X
C. y = mx+b
D. y = m
Answer:
Option 'C' is correct.
Step-by-step explanation:
We know that the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptWe are given that an equation that represents a line in which intercepts the vertical axis at b, assuming m≠0, b ≠ 0, and m≠b.
As the line intercepts the vertical (y-axis) at b.
Therefore, 'b' is the y-intercept of the line.
Also, the slope is m.
Thus, according to the slope-intercept form of the line equation, the equation is:
y = mx+b
Therefore, option 'C' is correct.
Solve the system of linear equations by graphing. y=-3x + 1 y = x- 7
Answer:
(2, -5)
General Formulas and Concepts:
Algebra I
Solving systems of equations by graphingStep-by-step explanation:
Where the 2 lines intersect is the solution set to the systems of equations.
What is the most appropriate level of accuracy for measuring the height of a tree?
38.268 feet
38.27 feet
38. feet
38 feet
find the formula for g(x) if it is known that g(x-3)=2x-6
Answer:
g(x-3)=2(x-3)-6
Step-by-step explanation:
just plug in x-3 wherever there is an x value in the original equation
What is the smallest positive perfect cube that is a multiple of 180?
THIS IS 20 POINTS!!!! Hope you have a great day! :D
Answer:Factor it into its prime factors:
180 / 2 = 90
90 / 2 = 45
45 / 3 = 15
15 / 3 = 5
5 / 5 = 1
2 x 2 x 3 x 3 x 5
All of those factors pair should pair up in 3 members to make cube
2 x 2 x 2 x 3 x3 x 3 x 5 x 5 x 5 = (30)^3 = 27000
Smallest no. = 2 x 3 x 5 x 5 = 150
Step-by-step explanation:
Aqua town charges 4.50 admission plus 0.75 for each ride the cost at splash world is 2.50 admission plus 1.25 per ride let x represent the number of rides write an expression for each water park to show the relationship between the total cost and the number of rides
Answer: Total cost at Aqua town = 4.50+0.75x
Total cost at Splash world = 2.50+1.25x
Step-by-step explanation:
Total cost = Admission charge + Charge per ride x Number of rides
Let x= Number of rides.
Aqua town charges 4.50 admission plus 0.75 for each ride.
Total cost at Aqua town = 4.50+0.75x
Splash world is 2.50 admission plus 1.25 per ride.
Total cost at Splash world = 2.50+1.25x
The required expressions:
Total cost at Aqua town = 4.50+0.75x
Total cost at Splash world = 2.50+1.25x
Is 8 feet ,10 feet ,12 feet a right triangle or not
Help me with this pls
Answer:
b = -1
Step-by-step explanation:
3 - 2(b - 2) = 2 - 7b (Use the distributive property)
3 - 2b + 4 = 2 - 7b (Add 3 and 4)
7 - 2b = 2 - 7b (Add 7b to both sides)
7 - 2b + 7b = 2 (Add -2b to 7b)
7 + 5b = 2 (Subtract 7 from both sides)
5b = 2 - 7 (Subtract 7 from 2)
5b = -5 (Divide both sides by 5)
b = -5/5 (Divide -5 by 5)
b = -1
Work Check: (Substituting b for -1)
3 - 2(b - 2) = 2 - 7b
3 - 2(-1 - 2) = 2 - 7(-1)
3 - 2(-3) = 2 - (-7)
3 - (-6) = 2 - (-7)
3 + 6 = 2 + 7
9 = 9
That is true, so b = -1
There are 17 animals in the barn. Some are chickens and some are cows. There are 56 legs in all. How many of each animal are there?
Answer:
6 chickens, 11 cows.
Step-by-step explanation:
x - chickens
y - cows
x + y = 17
2x + 4y = 56 <-- chickens have 2 legs, cows have 4.
y = -x + 17
Substitute (-x+17) for y in the second equation.
2x + 4(-x + 17) = 56
2x -4x + 68 = 56
2x = 12
x = 6 chickens
Now substitute 6 for x
6 + y = 17
y = 11 cows
On a special two day clearance sale, 3 out of 5 books on clearance were sold on the first day of the sale. If 280 books were originally for sale on clearance how many were sold on the first day of the sale?
Answer:
168 books
Step-by-step explanation:
According to problem, given data are as follows:
Total books for sale = 280 books
Sold on first day = 3 out of 5 books
So, percentage of first day sold = 3 ÷ 5 = 0.6 or 60%
So, we can calculate the total books sold on day one by using following method,
Total books sold on first day = Total books for sale × percentage sold
By putting the value, we get
= 280 books × 60%
= 168 books
The equivalent ratios are 2 : 9, 12 :
, and
: 45.
Answer:
hccbbx bbn nnjjjhjjjhjjhhhh
Find the volume of each figure. Round your answers to the nearest hundredth, if necessary. Leave your answers in terms of pi for answers that contain pi.
Answer:
125πkm
Step-by-step explanation:
The figure shown is a cylinder :
Volume of a cylinder is obtained using tbe relation :
V = πr²h
Where ; r = Radius ; h = height
r = 5km ; height = 5km
Hence,
V = π * 5² * 5
V = 25 * 5 * π
V = 125πkm
A hotdog coats $2.50 more than a soda. Together they cost $6.50.
Answer:
Step-by-step explanation:
The hotdog costs $4.50
The soda costs $2.00
2 of 5
The ratio of boys to girls in a class is 3:5. There are 40 students in the class. How many
students are girls?
Answer: 16 of the students are girls.
Step-by-step explanation:
3/5 = boys —> 60% of students.
2/5 = girls —> 40% of students.
40% = 0.4
G = 40 * 0.4
G = 16
What would prove that the two triangles are
congruent?
Answer:
The answer must be R is approximately equal to C because as you can see on the picture, Triangle AKR is upside down from MYC, and R is the pointy edge on the AKR triangle, and C is the pointy edge on the MYC triangle.
Step-by-step explanation:
PLS HELP ME THIS IS SO HARD
Solve each equation.
Part A: p = 0.49
The value of p is
Part B: n3 = 125
The value of n is
Answer:
p=0.78837351631052428187102047390789
n=5
Nrite and evaluate the expression. Then, complete the statements.
nine more than the product of seven and a number, decreased by three
The expression to model the situation is
The value of the expression when n = 8 is
Answer: 9 + 7n - 3 and 62
Step-by-step explanation:
Answer:
Write and evaluate the expression. Then, complete the statements.
nine more than the product of seven and a number, decreased by three
The expression to model the situation is
✔ 9 + 7n – 3
.
The value of the expression when n = 8 is
✔ 62
.
Step-by-step explanation:
2/4 + 4/4 plzzzzzzzz helppppppp im in 4th grade
Answer:
1.5
Step-by-step explanation:
2/4 = .5
4/4 = 1
1 + .5 = 1.5
Answer:
2/4 + 4/4-(from what I learn when the denominators are the same you add normally thus:)
2+4
-------
4
=6/4 (then you reduce but because the top number is bigger you divide)
6÷4
=1 and 2 remaining
=1 ²/4
I'm not good at explaining but that's what my teacher would've told me
Alice and Bob share an allotment. The ratio of the area of Alice's
portion to the area of Bob's portion is 3:2. They each grow
vegetables and fruit on the allotment. The entire allotment is
covered by vegetables and fruit in the ratio 7:3. On Alice's
portion of the allotment, the ratio of vegetables to fruit is 4:1
What is the ratio of vegetables to fruit in Bob's portion?
Answer:
11:39Step-by-step explanation:
Bob's portion of the allotment :
[tex]Total\:ratio=3+2 =5\\\\= \frac{2}{5}[/tex]
Alice's portion :
[tex]Total\:ratio=3+2 =5\\\\= \frac{3}{5}[/tex]
Vegetables are :
[tex]Total\:ratio=7+3 =10\\\\= \frac{7}{10}[/tex] of the total area
Vegetables are :
[tex]Total\:ratio=4+1 =5\\\\= \frac{4}{5}[/tex] of Alice's portion, or:
[tex]\frac{4}{5} \times(\frac{3}{5} ) = \frac{12}{25}[/tex]
Bob's portion fraction (b):
[tex]\frac{12}{25} + b = \frac{7}{10}[/tex]
L.C.M of 25 and 10 =50
[tex]\frac{24}{50} + b = \frac{35}{50} \\\\b =\frac{11}{50}\\\\ Ratio:\\50 - 11 = 39[/tex]
Bob's vegetable to fruit ratio is 11 : 39
A group of people were asked if they had run a red light in the last year. 290 responded "yes", and 177 responded "no". Find the probability that if a person is chosen at random, they have run a red light in the last year.
Answer:
0.621
Step-by-step explanation:
Number of people that have run a red light in the last year = 290
Number of people that have not run a red light in the last year = 177
Total number of respondents = 290 + 177
= 467
Pr(if a person is chosen at random, they have run a red light in the last year) = [tex]\frac{number of people who has run the red light last year}{total number of respondents}[/tex]
= [tex]\frac{290}{467}[/tex]
= 0.621
The probability that if a person is chosen at random, they have run a red light in the last year is 0.621.
Plz help due tomorrow
I need help pls ASAP show your work
Answer:
X= 43/3
Step-by-step explanation:
-1/4 x 5 = 3/4x - 12
-5/4=3/4x -12
-5=3x - 48
-3x-5 = -48
-3x = -48 + 5
-3x= -43
-3 x= -43
X= 43/3
I need some help, please. : )
Answer:
A
Step-by-step explanation:
The y intercept = (0,0) since the c value = 0.
Since the numerical coefficient of x^2 is > 0, the graph opens upward.
a = 1
b = 7
c = 0
The Table describing all the conditions is A
What is the area, in square feet, of the shape below? Express your answer as a fraction in simplest form.
Answer: The area of the bottom figure is 5/8 ft²
Step-by-step explanation: The area of a triangle is half of the base times the height. Multiply the dimensions given, then divide by 2 or multiply by 1/2
The base of the top diagram is obscured by the timer.
The bottom will be 3/4 × 5/3
Multiply numerators straight across : 3 × 5 = 15
Multiply denominators straight across : 4 × 3 = 12
15/12 Simplify to 5/4 and take half (multiply by 1/2)
The result is 5/8 square ft.
The Area of the given triangle is [tex]\frac{5}{8} \; square feet[/tex], using the provided information base 5/3 feet and the length 3/4 feet.
Area of the triangleArea of the triangle is the area formed that is inside the triangle.
The formula for the area of the triangle is 1/2 times base times height
From the given diagram , the base of the triangle is 5/3 feet
height of the triangle is 3/4 feet
Subsitute the values of the base and height inside the formula
and find out the area of the triangle
[tex]Area = \frac{1}{2} \cdot base \cdot height \\Area = \frac{1}{2} \cdot \frac{5}{3} \cdot \frac{3}{4}[/tex]
Cancel out 3 from top and bottom
[tex]Area=\frac{5}{8}[/tex]
the Area of the given triangle is 5/8 square feet
Learn more about 'Area of triangle ' here
brainly.com/question/89544
What is the rule for 180° rotation if the Origin is the center of rotation?
Answer:
Step-by-step explanation:
The rule for 180 and 180 degree rotation is this (x,y)→(−x,−y)
180 and 180 degree rotation is this (x,y)→(−x,−y)
Step-by-step explanation:
If a computer price is reduced by 43% in a sale to £376.20, find the original price
Answer:
£874.88Step-by-step explanation:
sale price = £376.20
reduced by = 43%
original price = ??
sale price = original price ( reduced rate)
£376.20 = original price ( 43% )
100
original price = £874.88
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Find the value of each variable
Answer:
1. a=90; b=110
2. a=140
3. b=105
4. c=60
5. d=50
Step-by-step explanation:
For Problem 1, A can be found by adding up all the exterior angles and minus the final number by 360. The final number is 270, and 360-270=90, so a=90. To find b, you need to do 180-70=110, so b=110 Another way you could do it is get the original number as 360 and minus all the angles until you get the variable's angle.
For problem 2, you can do the same thing you did to find A in problem 1, which is 140.(360-120-100=140)
For problem 3, we can do the same as the problems before us, so b would be 105. (360-95-70-90=105)
For problem 4, we get c as 60 (360-55-55-90-100=60)
Problem 5 would be d=50 (360-70-70-70-60-40=50)
The table below represent which equation ?
Answer:
C
Step-by-step explanation:
Write an equation of a line that passes through (7, 1) and is parallel to y= -x + 3.
Answer:
y=-x+8
Step-by-step explanation:
Plug in (7,1)
You have 64 grams of a radioactive kind of ruthenium. If its half-life is 3 days, how much will be left after 6 days?
Answer:
1g
Step-by-step explanation:
64
32
16
8
4
2
1
