Answer: slope is 7 and y-intercept is 11
Step-by-step explanation:
y = 7 + 5x + 2x + 4
combine like terms
y = 11 + 7x
rearange
y = 7x + 11
slope is 7 and y-intercept is 11
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
What is the slope of the line y=7+5x+2x+4? What about the y-intercept?
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
First, we need to combine like terms:-
[tex]\Large\text{y=7+4+5x+2x}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\Large\text{y=11+7x}[/tex]
[tex]\bigstar[/tex] We can rearrange the terms a little:-
[tex]\Large\textit{y=7x+11}[/tex]
Now we can easily determine the slope and the y-intercept of the line.
Slope = number multiplied by x
y-intercept = a number added to or subtracted from x
Henceforth, we conclude that
[tex]\Large\text{Slope=7 \& y-intercept=11}[/tex]
Good luck with your studies.#TogetherWeGoFar
[tex]\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}[/tex]
Write the equation for the line in slope-intercept form.
Answer:
y=[tex]\frac{2}{3}x[/tex]+4
Step-by-step explanation:
[tex]\frac{rise}{run}[/tex]
plus the y intercept
which is 4
The required equation in slope-intercept form is y = - [tex]\frac{2}{3}[/tex]x + 4
What is an equation?An equation represents any two expressions or statements are equal that means they are having an equal to (=) sign in brtween them.
What is slope intercept form?The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept is called slope-intercept form of the equation.
How to find the slope ?Slope of a line is the inclination of the straight line towards x axis.
If a straight line passes through two points (a , b) and (c , d), then slope(m) of the straight line can be calculated by the formula,[tex]m = \frac{d - b}{c-a}[/tex]
According to the problem, the straight line passes through (6 , 0) , (3 , 2) , (0, 4) , (-3 , 6).
Slope (m) = [tex]\frac{2-0}{3-6}[/tex] = - [tex]\frac{2}{3}[/tex]
How to write the equation in slope-intercept form?The equation can be written as
y = - [tex]\frac{2}{3}[/tex]x + b
Now , this line passes thorugh (0,4). So, (0,4) will satisfy the equation∴ putting (0,4) in the equation, we get,
y = 4
∴ The required equation is y = - [tex]\frac{2}{3}[/tex]x + 4.
For check we can satisfy the point ( -3 , 6) in the equation.- [tex]\frac{2}{3}[/tex](-3) + 4 = 6
CLearly, the point satisfies the equation.
So, the equation y = - [tex]\frac{2}{3}[/tex]x + 4 is correct
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Wilte the following equation in standard form:
Answer:
B. option is the current answer.
Step-by-step explanation:
Standard form here means, the the exponential powers of constants must be arranged in ascending order.
Here,
constant is " a ".
Exponential power ( in ascending order ) = 5, 4, 2, 1
Need help!! Giving out 100 points to who answers this right!! NEED HELP STAT
Answer: The area of the shape is 156.
Answer:156
Step-by-step explanation:
Round 66.3899872389 to the nearest thousandth.
Answer:
66.390
Step-by-step explanation: 66.389 the 9 is thousandths, it rounds up to 66.390
The volume of a rectangular prism, in cubic meters, is given by the expression x to the 3rd power
Answer:
power of 3
Step-by-step explanation:
that formula of rectangular prism V=L×b×h when all of number are in meter will not convert if the number of cubic are not all meter must convet to be in meter by dividing by 10, 100 or 1000
Solve the exponential equation. (5)^x^2=2^5x
Real math tutor please explain how to solve this
Answer:
D)14Step-by-step explanation:
Using the Theorem,
BA*AD=CA*AE
3x+2*6=4x-2*8
18x+12=32x-16
12+16=32x-18x
28=14x
x=2BD= BA+AD
3x+2+6
3(2)+2+6
6+2+6
14MARK ME AS BRAINLISTRobert is using the following data samples to make a claim about the house values in his neighborhood
Pls I need help with this
Answer:
ok no problem first clean your mind
then singing a song ok i
love you
The following figure shows a cube.
Which expression represents the surface area of the cube?
7 Choose 1 answer:
6X49
7X7X7
6X14
7+7+7+7+7+7
[tex]7[/tex] · [tex]7[/tex] · [tex]7[/tex]
Sure Hope this helps you :D
Answer:
6 x 49
Step-by-step explanation:
Khan Academy
All triangles are similar
AD= x-2
CD=x+3
Find the value of x
Answer:
Could you provide more context of the question?
Question 7: 10 pts
For Thursday's English class, 4 students are assigned to give presentations. How many different ways can the
teacher order the student presentations?
4 ways
16 ways
24 ways
7 ways
The teacher ordered the students in 24 ways.
We have given that the total number of students is 4.
4 students are assigned to give presentations.
We have to find the arrangement of the 4 students.
What is the arrangement?
An arrangement (or ordering) of a set of objects is called a permutation. (We can also arrange just part of the set of objects.)
In a permutation, the order that we arrange the objects n is important.
4 students can be arranged by 4! ways.
[tex]4!=4*3*2*1\\ =12*2\\=24[/tex]
Therefore option 3 is correct.
The teacher ordered the students in 24 ways.
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The sales tax for an item was 26.40 and it cost 330 before tax find the sales tax rate
Answer:
8%
Step-by-step explanation:
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. Find the values of the variables. Then find the side lengths of the square.
X=_____
Y=_____
Step-by-step explanation:
I am not sure this is a square.
this could be a rectangle.
to be safe, I am following that path.
in a rectangle opposite sides are of equal length.
that means
y - 1 = 2y - 7
y = 2y - 6
0 = y - 6
y = 6
3x - 4 = 3y - 13
3x - 4 = 3×6 - 13
3x - 4 = 18 - 13 = 5
3x = 9
x = 3
as it turns out, it is a square, so we could have used every side expression to be equal with every other side expression, but better safe than sorry ...
What is the next term of the geometric sequence?
20, -10, 5
The sum of twice a number and eight is eleven.
Question 4 options:
2x+8=11
2x−8=11
2(x−8)=11
2(x+8)=11
Answer:
2x+8=11
Step-by-step explanation:
The equation 2x + 8 = 11 would be the answer.
2 (coefficient) ----> it would multiply by the unknown value represented by the common variable "x".
Because in the given situation, it says twice (means 2 multiplied by a number or a number multiplied twice by itself) then multiplication would be the order of operation used between the 2 and x.
The "and" indicates the order of operation addition, as it is proven as the only given options for the answer all equal 11.
Therefore, proving that option A is the answer.
A two-digit number is reduced by 45 when the digits are interchanged. The digit in the tens pace
of the original number is 1 more than 3 times the digit in the units place. Define variables and
write a system of equations to find the original number.
The system of equations to find the original number is;a = 3b +1 and (10a + b) - (10b +a) = 45
What is the system of equations to find the original number?From the task content;
let the number in the tens place of the original number be a and the number in the units place be b.Hence, the required system of equations is;
a = 3b(10a + b) - (10b +a) = 45On this note, the required numbers can be evaluated from the equations above;
Read more on system of equations;
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During a one-year time period, how many gallons of water would the average household save by using an efficiency washer vs a regular washer? Is this one-year savings more or less than the amount of water an average person drinks in a lifetime? Explain and show your assumptions, calculations, and conversions.
Consider it to be 2 separate problems:
1. How much water is saved in a one-year period when using an efficiency washer vs regular washer - answer based on your assumptions and calculations for full credit
2. How much water does an average person drink in a lifetime – arrive at this answer based on your assumptions and calculations
3. Compare the answers to those 2 questions to arrive at your conclusion
Below are 2 pieces of information that you might find helpful
there are 128 oz in a gallon
there are 365 days in a year and also 52 weeks in a year
Mike is buying eight tickets for a concert. A package of five tickets costs $74.45. Individual tickets cost $17.25 each. What is the least amount that Mike can pay for eight tickets? Be sure to include a decimal point in your answer.
Answer:
$126.20
Step-by-step explanation:
Given:
Mike is buying eight tickets for a concert.
A package of five tickets costs $74.45.
Individual tickets cost $17.25 each.
To Find:
What is the least amount that Mike can pay for eight tickets? Be sure to include a decimal point in your answer.
Solve:
Since we know that:
A package of five tickets costs $74.45.
Individual tickets cost $17.25 each.
Hence we know that 5 + 3 = 8
Thus,
$74.45 = 5 tickets
Now for the 3 tickets we can do individual tickets which cost $17.25
$17.25 × 3 = 51.75
Then we add both together:
51.75 + 74.45 = $126.20
Kavinsky
Y/6=8 or read as follows Y divided by six equals eight
Answer:
y/6=8
Multiply both sides by 6
6y/6) = 8×6
Simplify
y=48
15. Find the area of the figure at
the right.
Answer:
The area is 64.
Step-by-step explanation:
First find the area of the simple shape in this case the regtangle so you would do 12 × 6 which equals 72. Then find the area of the shape that is taken away which is a triangle. In order to find the area of the triangle do 8×2÷2 which would equal 8. Finally do 72 - 8 and get your answer of 64.
Answer it please!!!! I need help with it!
Answer:
2=B
Step-by-step explanation:
Insert 2 in the down phrase
Answer:
answer is C.1
Step-by-step explanation:
the value is g(2)= 1
What does the term unit fraction mean? Provide an example.
Answer:
A unit fraction is a fraction whose numerator is 1. Example is: (1/1, 1/2, 1/3)
Step-by-step explanation:
Answer:
In math, a unit fraction can be defined as a fraction whose numerator is 1. It represents 1 shaded part of all the equal parts of the whole.
Step-by-step explanation:
For example: 1/4, 1/6, 1/25
determine the slope m, x- intercept , and y intercept of the equation 5x-2y=10
x-intercept(s): (2, 0)
y-intercept(s): (0, -5)
M= [tex]\frac{5}{2}[/tex]
Find missing angle
100°
100°
X=
Answer:
200 + X
Step-by-step explanation:
Johanna, Elizabeth, and Dan are preparing a chemical solution for a research project. When
working alone, either Johanna or Elizabeth can prepare the solution in six minutes. Dan can
prepare the solution in four minutes if he works alone. How many minutes will it take the thre
of them to prepare the solution if they work together?
Using the together rate, it is found that they would prepare the solution in 1.71 minutes working together.
What is the together rate?It is the sum of each separate rate.
In this problem, the rates are given by:
Johanna's: 1/6.Elizabeth's: 1/6.Dan's: 1/4.Hence the together rate is given by:
[tex]\frac{1}{x} = \frac{1}{6} + \frac{1}{6} + \frac{1}{4}[/tex]
[tex]\frac{1}{x} = \frac{1}{3} + \frac{1}{4}[/tex]
[tex]\frac{1}{x} = \frac{4 + 3}{12}[/tex]
7x = 12
x = 12/7
x = 1.71.
They would prepare the solution in 1.71 minutes working together.
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Gavin is selling water bottles at a baseball game to help raise money for new uniforms. Before the game, he buys 48 water bottles for a total of $18.50. At the game, he sells all of the bottles for $1.25 each. How much profit does Gavin make?
Step-by-step explanation:
he buys 48 bottles for $18.50.
FYI : that means he gets them for
18.5/48 = $0.385416666... per bottle
he sells all 48 bottles for $1.25 per bottle.
that means the revenue (or selling income) is
48 × 1.25 = $60.00
profit is now income minus basic costs :
profit = 60 - 18.5 = $41.50
You are at a mall and you have $40. You have already spent $7 on lunch. Write an inequality that would represent the possible amount of money you can still spend at the mall. Write a one step inequality without solving!
Answer:
y ≤ 33
Step-by-step explanation:
You have $40. You spent $7 already.
40-7=33.
You have $33 now. You can spend less or only up to $33.
Find an angle in the range between 0° and 360° that is coterminal with 950°
Answer:
230°
Step-by-step explanation:
950-360 =590
590-360 =230°
What is the solution to the system of equations below?
(Hint: Sole using substitution)
y=2x+1
3x + y=-9
The solution is
