Answers
Answer:
Y-intercept: (0, -3)
Step-by-step explanation:
Given the two points, (6, 5) and (3, 1):
We can find the y-intercept by using the slope-intercept form, y = mx + b. However, the first step that we must do is to solve for the slope.
SlopeWe must first solve for the slope of the line using the following formula:
[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]
Let (x₁, y₁) = (3, 1)
(x₂, y₂) = (6, 5)
[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]
[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{5 - 1}{6 - 3}\:=\:\frac{4}{3}}[/tex]
Hence, the slope of the line is: [tex]\sf{m\:=\frac{4}{3}}[/tex] .
Y-intercept:Next, we must determine the y-intercept, which is the point on the graph where it crosses the y-axis, with coordinates of (0, b ).
In order to find the y-intercept, use one of the given points, (6, 5), and the slope, [tex]\sf{m\:=\frac{4}{3}}[/tex], and substitute these values into the slope-intercept form and solve for the value of b:
y = mx + b
[tex]\displaystyle\mathsf{5\:=\:\frac{4}{3}(6)\:+\:b }[/tex]
5 = 8 + b
Subtract 8 from both sides to isolate b:
5 - 8 = 8 - 8 + b
-3 = b
Therefore, the y-intercept is (0, -3), where b = -3.
Related Questions
(a) 3 - 2/3÷4/3 × 7
(b) [(2/3)/(5/6)]-2/5
(c) {(-3/4) +( 1/2)}/{(2/5)-(5/2)}
Answers
Step-by-step explanation:
a. (3 - 2/3) ÷ (4/3 x 7)
= [(3 x 3) / (1 x 3) - 2/3] ÷ 28/3
= (9/3 - 2/3) ÷ 28/3
= 7/3 x 3/28
= 21/84
= (21 x 1) / (21 x 4)
= 1/4
b. 2/3 ÷ 5/6 - 2/5
= 2/3 x 6/5 - 2/5
= 12/15 - 2/5
= (3 x 4) / (3 x 5) - 2/5
= 4/5 - 2/5
= 2/5
c. (- 3/4 + 1/2) ÷ (2/5 - 5/2)
= [- 3/4 + (1 x 12) / (2 x 2)] ÷ [(2 x 2) / (5 x 2) - (5 x 5) / (2 x 5)]
= (- 3/4 + 12/4) ÷ (4/10 - 25/10)
= 9/4 ÷ (- 21/10)
= 9/4 x - 10/21
= - 90/84
= (6 x - 15) / (6 x 14)
= - 15/14.
If you have any doubt, then you can ask me in the comments.
The choir needs to raise $2,620.00 for a trip to the state competition. They are selling sets of candles for $25.00 per set. They have already raised $1,225.00 from the fundraiser.
Answers
Answer:
The band needs to sell 4 more items from their fundrasier than the chorus needs to sell for their fundraiser.
Step-by-step explanation:
i just did that question like 3 mins ago lol
Select the correct expression. Which expression is equivalent to 5^4 · (5^-2)^3 ?
5-^3
5^2
5^-2
5^-1
Answers
we have 5^4 . (5^-2)^3 = 5^4 . 5^-6 = 5^ (4-6) = 5^-2
ok done. Thank to me :>
how do you read real life graphs?
Answers
Answer:
"To interpret a graph or chart, read the title, look at the key, read the labels. Then study the graph to understand what it shows. Read the title of the graph or chart. The title tells what information is being displayed."
Step-by-step explanation:
Solve for r.
4r+10>6
71 points
Help Plslsspsl
Answers
Answer:
r > -1
Step-by-step explanation:
4r + 10 > 6
4r + 4 > 0
4 > -4r
-4 < 4r
-1 < r
r > -1
Answer:
r > - 1 or r ∈ (- 1, + ∞)Step-by-step explanation:
4r + 10 > 64r > 6 - 104r > - 4r > - 4/4r > - 1 or r ∈ (- 1, + ∞)Find the slope of the line y=-1/4x+1
Answers
Answer:
slope is -1/4 the number before the x is the slope
Step-by-step explanation:
Answer:
The slope is -1/4
Step-by-step explanation:
The equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -1/4x +1
The slope is -1/4 and the y intercept is 1
Lines Q and R are parallel find the value of N and the angle measures
Answers
Answer:
Check the steps given below.
Step-by-step explanation:
I hope this helps you
Answer:
n = 55
n+15 = 70
2n = 110
Step-by-step explanation:
these angles are called 'same-side interior angles' and are supplementary
so we can add them together and set them equal to 180
n+15 + 2n = 180
combine 'like terms' to get:
3n + 15 = 180
subtract 15 from each side to get:
3n = 165
divide each side by 3 to solve for 'n'
n = 165/3
n = 55
substitute 55 for 'n'
55+15 = 70
2(55) = 110
check: 70 + 110 = 180
Select all the equations that have {6} as its solution set.
15−x=54x
8+3x=6x−10
x2+2=7x−4
43−4x=3x−1
Answers
ANSWER:
The ANSWER IS 2. if two solutions are allowed then 2. AND 3. and if your rounding, then 2. 3. and 4.
Step-by-step explanation:
For the first one it is: 0.27... or 3/11
For the second one it is: 6
For the third one it is: 1 or 6, meaning it has two solutions
For the fourth one it is: 6.285714, or 44/7
for the first one: 15-x=54x -> add x to both sides: 15=55x -> then divide both sides by 55: x=3/11
for the second one: 8+3x=6x-10 -> subtract 6x from both sides: 8-3x=-10 -> subtract 8 from both sides: -3x=-18 -> divide both sides by -3: x=6
I'm actually supposed to be doing school, so I don't have time to explain the last two, but I wanted to help, so please give 4 stars or brainliest. and thanks for waiting patiently.
The equation 8+3x=6x−10 has {6} as its solution set. Option B is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
The equations that have {6} as its solution set is,
We have to solve the equation in order to find the value of x,
Equation 1,
15−x=54x
54x+x=15
55x=15
x=0.27
Equation 2,
8+3x=6x−10
6x-3x=-10+8
3x=18
x=6
Equation 3,
x²+2=7x−4
x²-7x+6=0
x²+6x+x+6=0
x(x+6)+1(x+6)=0
(x+1)=0 , x=-1
(x+6)=0, x=-6
Equation 4,
43−4x=3x−1
4x+3x=43+1
7x=44
x=44/7
x=6.285
Thus, the equation 8+3x=6x−10 has {6} as its solution set. Option B is correct.
Learn more about the equation here,
https://brainly.com/question/10413253
#SPJ2
Does the point (4, 10) satisfy the inequality y greater than or equal to 2x + 2?
Answers
Answer:
Yes, the point (4,10) satisfies the inequality.
Step-by-step explanation:
In order to answer this question, we can plug the values x = 4 and y = 10 into the inequality:
y ≥ 2x + 2
10 ≥ 2(4) + 2
Then solve:
10 ≥ 8 + 2
10 ≥ 10
Since the value 10 is greater than or equal to itself, the inequality is true at the point (4,10).
Directions: Answer the following questions below on a separate sheet of paper.
Compute for the Income Tax Due of the following:
1. Gross income of 350,000
2. Gross income of 600,000
3. Gross Income of 1,000,000
4. Gross Income of 2,500,000
5. Gross Income of 10,000,000
Answers
Answer:
5. gross income of 10,000,000
A new car is purchased for 24500 dollars. The value of the car depreciates at 14.75% per year. What will the value of the car be, to the nearest cent, after 14 years?
Answers
Answer:
$258
Step-by-step explanation:
6th attempt on posting this question and getting an answer :,)
Help haha..?
Answers
Answer:
GCF: (x + 2)(9x + 6)
Step-by-step explanation:
Given the algebraic expression, 9x(x + 2) + 6(x + 2), where the greatest common factor (GCF) must be taken out:
Solution:Since (x + 2) are common between the two groups, then we can group 9x and 6 together.
In other words:
= 9x(x + 2) + 6(x + 2)
= (9x + 6)(x + 2)
If we perform the FOIL method onto (9x + 6)(x + 2), it will result in the following trinomial:
(9x + 6)(x + 2)
= 9x² + 18x + 6x + 12
= 9x² + 24x + 12
Verify Solution:In order to see why this works, let's go back to the original problem, as if we're trying to determine the resulting trinomial:
Given: 9x(x + 2) + 6(x + 2)
Distribute 9x and 6 into the parenthesis:
= 9x² + 18x + 6x + 12
Combine like terms:
= 9x² + 24x + 12 ⇒ As we can see, this trinomial matches our solution.
Therefore, the correct answer is: (x + 2)(9x + 6).
help asap :)
8 1/4 as a percent
Answers
Answer:
Its 8.25% I know this because of history of math in my family
A scrapbooking store is selling rubber stamps for four dollarsand $4.95 each. The total sales F(n) is a function of the number of rubber stamps n sold
A. Identify the independent and dependent variables
B. What values of the domain and range make sense for this situation? explain
C. Write a function to represent the total sales. Then determine the total sales for five stamps
Answers
A. Independent variable: number of rubber stamps n sold. Dependent variable: F(n), the total sales.
B. Only whole numbers. It is impossible to have negative and/or fractional stamps.
C. F(n) = $4.95n, which is 4.95 times n.
So, plugin 5 for n
[tex]f(5)= \$4.95(5)[/tex]
F(n) = $24.75
can someone please do this? nit the mini task though, number 8
Answers
1 is C
2 is D
3 is C
4 is A
5 is D
5 is A
7 is B
Help pls
Which statement correctly describes the picture?
Answers
Answer:
D
Step-by-step explanation: The line GH has an arrow, so is designated as GH with an arrow over it. The line EF has no direction (no arrow), so it is represented simply as EF with a line, with no arrow. The point P is, well, just point P.
Evelyn bought snacks for her team's practice. She bought a bag of chips for $2.99 and
a 20-pack of juice bottles. The total cost before tax was $36.39. Write and solve an
equation which can be used to determine i, how much each bottle of juice costs.
Answers
(36.39- 2.99)/20
Total- chips, so total amount for juice.
Then, divide by 20 because she bought 20 bottles
Answer:
1.67
Step-by-step explanation:
36.39 - 2.99 = 33.4 33.4 ÷ 20 = 1.67
what is rt5 x rt3
yeah do that plz
Answers
Answer:
3(2r+1)
Step-by-step explanation:
5r+1 is 6
Then you factor out 3 and get 3(2r+1)
a family of four goes to a movie theatre and spends $26.50. they buy 2 tickets for adults, and 3 boxes of popcorn at $2.50 per box. what is the cost of one adult ticket
Answers
Answer:
$9.5
Step-by-step explanation:
3x2.50= 7.50
26.50-7.5 =19
19/2 = 9.5
9.5 for one adult ticket
Hi!
First, let's add (or multiply) the boxes of popcorn.
2.50 + 2.50 + 2.50 (or 2.50 x 3) is 7.50. so the popcorn all together is $7.50.
Next, we subtract the popcorn cost from the cost altogether.
26.50 - 7.50 = $19
Next, we divide the $19 by two.
19 ÷ 2 = 9.50
To make sure this is true, what we do is multiply 2 x 9.50.
2 x 9.50 = 19.
So 9.50 is your answer.(NOTICE: your problem says a family of 4. you didn't give me the total for the other 2 people who were going to the movie, so this is just my estimate for just those 2 adults. If it's not correct, that is the reason why, otherwise, it is the answer.)
Hope this helps!
~~~PicklePoppers~~~pls answer quick.
which problem-solving strategy would be best to solve this problem how many different ways can you give change for 45 cents?
A) make a table, chart or list
B) work backwards
C) use a formula
D) look for a pattern
Answers
Answer:
a:make a table ,chart or list
Mahmoud uses 3 cups of apple juice for every 4 cups of cranberry juice
.
to make a fruit drink.
a
How many cups of apple juice does Mahmoud use for 21 cups of the
combined fruit drink?
Answers
Answer:
9 cups of apple juice
Step-by-step explanation:
3.
Use the quadratic function to predict f(x) if x equals 8.
f(x) = 25x^2 − 28x + 585
A. f(8) = 2201
B. f(8) = 2679
C. f(8) = 1614
D. f(8) = 1961
Answers
Answer:
D. f(8) = 1961
Step-by-step explanation:
i know the answer it is i think
To predict f(x) when x equals 8 we simply substitute.
So f(x) = 25x2 28x + 585
f(8) = 25 (8)^2 - 28 (8) + 585
f(8) = 25 * 64 - 224 + 585
f(8) = 1600 - 224 + 585 = 1961
Hencse f(8) = 1961
Hloo friend^_^..___
Q= f(x) = 25x2 − 28x + 585
Solution
________
f(8) = 25*(8)^2 - 28*8 + 585
= 25*64 - 224 + 585
= 1600 - 224 + 585
= 2185-224
= 1961 Ans...
So the correct ans is f(8) = 1961...
I HOPE ITS HELP U MY FRIEND..^_^
BE BRAINLY..
The area of a parallelogram can be found by the equation area=(b)(h) Find the height of a parallelogram that has an area of 10&1/2 in and a base of 3/4 the height of the parallelogram is ____ inches
Answers
Answer:
1/2×b×h you say 1/2 =3/4×10=answer ×1/2×1/2 you get the equation
(5a-ab) (2ay-by)
[tex] {2}^2( {2}^{4 - ?}5 {} ){?} [/tex]
Answers
Answer:
a = 0
b = 5
y = 0
Step-by-step explanation:
The exchange rate at the Post Office is $1 = (1.17
How many euros will you get for E280?
Answers
Answer:
In £280, there will be €327.6.
Step-by-step explanation:
Since we have given that
£1 = €1.17
We need to find the value of £280.
Using "Unitary method", we will multiply 1.17 by 280 and we get that
Hence, in £280, there will be €327.6.
# learn more:
The exchange rate at the post office is 1 pound = 1.17 euros
how many euros will you get for 280 pounds
Multiply 280 both sides
£ 280 = € 1.17 × 280
£ 280 = € 327.6
£ 1 = € 1.17
(Hope this helps can I pls have brainlist (crown)☺️)
help with these questions pls
Answers
Answer:
1. 5 + r/14
2. 3x -4 = 23
Answer:
1. 5 + r/14
1. 3x - 4 = 23
Step-by-step explanation:
1. Remember, the quotient is obtained by dividing one quantity by another. In the sentence it is stated that "the quotient of r and 14" which means: r divided by 14.
The sentence models 5 + r/14
2. We are to subtract 4 from the product of 3 and x. So part of the equation looks like: "3x-4". Since it is stated that 23 is the total sum, then the answer is: 3x - 4 = 23
help me please
only the 22. (c)
Answers
Answer:
d.
took the test
Step-by-step explanation:
Step functions
I don’t get what’s it’s trying to tell me to do not do I know where to begin
Answers
Answer:
[7.8] = 8
[0.75] = 1
...
Step-by-step explanation:
step function takes the value of the greatest integer
Can someone help me with this?
Answers
Answer:
y = 3x + 7.
Step-by-step explanation:
The slope = 6/2 = 3
y-intercept = 7.
Answer:
y = 3x + 7
Step-by-step explanation:
y-intercept = 7 {where the line intersect at y-axis (0,7)}
Plot a point: (-1 ,4 )
Slope intercept form: y = mx + b
y = mx + 7
4 = m*(-1) + 7
4 = -m + 7
4 - 7 = -m
-m = -3
m = 3
y = 3x + 7
which answer is correct
Answers
Answer:
see below for answer
Step-by-step explanation:
(4p^2+32p)/(p-2)=(4p(p+8))/p-2
(p^2+p-6)/(2p^3+16p^2)=(p+3)(p-2)/(2p^2)(p+8)
(4p(p+8)/(p-2))*((p+3)(p-2)/((2p^2)(p+8)))=2(p+3)/p