points to plot:
(0, 7) (1, 10) (2, 13) (4, 19)
For the given equation of the graph, the slope is 3 and the y-intercept is 7.
An algebraic equation known as a linear equation depicts a straight line on a graph. This equation has one as the greatest power of the variable or variables at play. In other words, no exponentiation or other mathematical action is performed on the variables in a linear equation.
The general equation of the straight line is,
y = mx + c
Here, m is the slope and c is the y-intercept.
Compare the given equation with the general equation of the line,
y = mx + c
y = 3x + 7
Therefore, the slope is 3 and the y-intercept is 7.
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452 divided by 7 with remaining
Answer: The answer is 64 remaining 5.
Step-by-step explanation:
Answer:
65 with a remaining of 1
Step-by-step explanation:
A rafter makes an angle of 22.5° with the roof joist, as shown
How tall is the board supporting the middle of the roof?
Answer:
≈ 5 ft
Step-by-step explanation:
Using the tangent ratio in the right triangle.
let the height of the board be h , then
tan22.5° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h}{12}[/tex] ( multiply both sides by 12 )
12 × tan22.5° = h , then
h ≈ 5 ft ( to the nearest whole number )
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find the missing side length. and how do i set up to solve?
Answer:
its 6 because the lines show they are parellel so it has to be equal to 18 and 12 plus 6 is 18
Step-by-step explanation:
toby has $13 to buy t-shirts for his bowling team. Each t-shirt costs $4. How many t-shirts can he buy?
Answer:
3
Step-by-step explanation:
13 ÷ 4 = 3.25
but you wont by .25 of a shirt so he can only buy 3 shirts
A restaurant use 8 1/4 pounds of carrots to make 6 carrot cakes. Frank wants to use the same recipe. How many pounds of carrots does Frank need to make one carrot cake?
Answer:
1 3/8 pounds
Step-by-step explanation:
divide 8 1/4 by 6
Please I need help: Find a number greater than 1 and less than 1000 that is both a perfect square and a perfect cube.
Answer:
64
Step-by-step explanation:
simplify the given rational expression: x-2 x²-4
Answer: 1/(x+2)Step-by-step explanation:=(x-2)(1)/(x-2)(x+2) cancel (x-2)=1/(x+2)
Step-by-step explanation:
Johan is buying 3 tickets for each of 2 movies. Each ticket costs $11.75. How much money will Johan spend?
Answer:
Johan spends $70.50.
Step-by-step explanation:
3 * 2 * 11.75 = 70.50
what is 0.4 rounded? is it possible to turn it into another pair of decimal numbers or can I only change it to a whole number?
Answer:
Im a little confused on what your asking but for 0.4 as a decimal is 0.4,for a fraction 0.4 is 2/5 and for a percent 0.4 is 40%
Step-by-step explanation:
I hope this helps!!
24 Which expression 18 a factor of 81.x2 – 25?
Answer:
[F]Step-by-step explanation:
9x-5 is a factor of [tex]81x^{2} -25[/tex]
how many arrangements are there of the letters in the word: CHAPTERS
Answer: 40320 ways
Step-by-step explanation:
From the question, we are informed that we should the number of arrangements that are in the letters in the word: CHAPTERS.
First, we should note that there are 8 letters in the word CHAPTERS, therefore the number of ways that the word can be arranged is 8! which simply means:
8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 40320 ways
A plumber is connecting pipes in the shape of a triangle. Which of the following pipe lengths could form a triangle?
15,6,5
13,12,5
40,20,10
19,16,2
Answer: 13,12,5
Step-by-step explanation:
According to the triangles inequality : The sum of any two sides of a triangle must be greater than the third.
since [tex]6+5 =11 \ngtr 15[/tex]
[tex]20+10=30\ngtr40\\\\ 16+2=18\ngtr19[/tex]
Only pipe lengths with measure 13,12,5 can form triangle as
13+12 >5
12+5>13
13+5>12
Hence, the correct option is 13,12,5.
Enter an equation in standard form of the line.
(4,-9) and (2, -3) are on the line.(10 points)
Answer:
((7
Step-by-step explanation:
Which of the numbers below are some potential roots of p(x) = x3 + 6x2 − 7x − 60 according to the rational root theorem?
–10
–7
–5
3
15
24
Answer: -10,-5,3,15
A,C,D,E
The next one is a= -5, b=1, c=-5, d=-12
The last one is 3 & 4
The rational root theorem is used to determine the potential roots of a function.
The potential roots are: [tex]\mathbf{-10, -5, 3, 15}[/tex]
The function is given as:
[tex]\mathbf{P(x) = x^3 + 6x^2 - 7x - 60}[/tex]
For a polynomial function:
[tex]\mathbf{P(x) = px^n +.............+ q}[/tex]
The potential roots are:
[tex]\mathbf{Roots = \pm \frac{Factors\ of\ q}{Factors\ of\ p}}[/tex]
The factors of 60 are:
[tex]\mathbf{60 = \pm 1, \pm 2, \pm 3, \pm 4, \pm 5, \pm 6, \pm 10, \pm 12, \pm 15, \pm 20, \pm 30, \pm 60}[/tex]
The factor of 1 is:
[tex]\mathbf{1 = \pm 1}[/tex]
So, we have:
[tex]\mathbf{Factors= \frac{\pm 1, \pm 2, \pm 3, \pm 4, \pm 5, \pm 6, \pm 10, \pm 12, \pm 15, \pm 20, \pm 30, \pm 60}{\pm 1}}[/tex]
[tex]\mathbf{Factors= \pm 1, \pm 2, \pm 3, \pm 4, \pm 5, \pm 6, \pm 10, \pm 12, \pm 15, \pm 20, \pm 30, \pm 60}[/tex]
The potential roots in the option are:
[tex]\mathbf{Factors= -10, -5, 3, 15}[/tex]
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BRAINLIEST ON THE LINE INFO IN PHOTO BELOW
Answer:
32 days is my final answer
Step-by-step explanation:
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Chase and his little brother made up a game using coins. They flip the coins towards a cup and receive points for every one that makes it in. Chase starts with 19 points, and his little brother starts with 27 points. Chase gets 3 points for every successful shot, and his brother, since he is younger, gets 1 point for each successful shot. Eventually, the brothers will have a tied score in the game. How many points will they both have? How many additional shots will each brother have made? Chase and his brother will both have a score of by making shots.
Answer:
Chase and his brother will both have a score of 31 points by making 4 successful shots.
Step-by-step explanation:
Given that initially Chase has 19 points and his brother has 27 points.
In one successful flip, Chase get 3 points and in one successful flip, his little brother get 3 points
Assuming that both have the same score after n number successful flip of the coin.
So, points earned by Chase in n successful flip [tex]= 3\times n =3n[/tex]
and points earned by his little brother in n successful flip [tex]= 1\times n=n[/tex].
Total points of Chase [tex]= 19+3n\cdots(i)[/tex]
Total points of his little brother [tex]= 27 + n\cdots(ii)[/tex]
As the brothers have tied scores in the game, that means both have the same score, so from equations (i) and (ii), we have
[tex]19+3n = 27 + n \\\\\Rightarrow 3n-n = 27-19 \\\\\Rightarrow 2n=8 \\\\\Rightarrow n=8/2=4[/tex]
So, after n successful throw, both have the same score.
Hence, each brother made 4 additional successful shots.
Now, put n=4 inequation (i) or (ii) to get the total points, i.e
Total points of each brother [tex]= 19+ 3\times 4 = 31.[/tex]
Hence, each brother has 31 points.
trigonometry ratio of multiple angles
Answer:
See Attached
Step-by-step explanation:
See Attached for proof of RHS = LHS
find the x-intercept and y -intercept 4x-7y=8
Answer:
x- intercept = 2, y- intercept = - [tex]\frac{8}{7}[/tex]
Step-by-step explanation:
To find the x- intercept, let y = 0 in the equation and solve for x
4x - 7(0) = 8 , that is
4x = 8 ( divide both sides by 2 )
x = 2 ← x- intercept
To find the y- intercept , let x = 0 in the equation and solve for y
4(0) - 7y = 8, that is
- 7y = 8 ( divide both sides by - 7 )
y = - [tex]\frac{8}{7}[/tex] ← y- intercept
Select ALL of the terms below that make the following statement true.
Every rectangle is a ___________.
A. parallelogram
B. square
C. quadrilateral
D. rhombus
Answer:
quadrilateral
Step-by-step explanation:
Please Help ASAP!!!!!
Answer:
3.05 ft
Step-by-step explanation:
Jonah’s family is ordering dinner. Each adult meal costs $8.50, each kid meal costs $6.75, and
each drink costs $1.75. There are a adults and k kids in the family. If everyone orders a meal and
a drink, which expression can be used to express the total cost of the meal?
A 8.50a + 6.75k + 1.75
B a(8.50 + 1.75) + 6.75k
C (a + k)(8.50 + 6.75 + 1.75)
D 8.50a + 6.75k + 1.75(a + k)
Answer:
D
Step-by-step explanation:
plz help meeeee asap
Write an equivalent expression. 1/3(12x+6x-21)=
Answer:
Step-by-step explanation:
1/3(12x+6x-21)
Take 1/3 of everything in the ()
4x+2x-7 combine like terms
6x-7
The equivalent expression is 6x - 7
Given the function 1/3(12x+6x-21), to get the equivalent expression, we will open the parenthesis using the distributive law;
= 1/3(12x+6x-21)
= 1/3(12x) + 1/3(6x) - 1/3(21)
= 4x + 2x - 7
On simplification, the resulting expression will be:
= 6x - 7
Hence the equivalent expression is 6x - 7
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Assassins on a rate of 29.6 ft./s if a building is 1450 feet tall how long would it take for an elevator to travel from the ground floor to the roof
Answer:
1450/29.6 = 49 seconds
Step-by-step explanation:
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Answer:
-11
Step-by-step explanation:
-7q + 12r = 3q - 4r what dose r equal
Answer:
r = 5y/8
Step-by-step explanation:
isolate the variable by dividing each side by factors that contain the variable.
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Determine whether the table below represents a linear function. Explain your reasoning.
Answer:
It is not
Step-by-step explanation:
It is not because this is an exponential function
y=x^2
1^2=1
2^2=4
3^2=9
4^2=16
Point A is at (3, 2.5) and point B is at (3, 1.4) on a coordinate grid. The distance between the two points is . Input numbers and decimal point only, such as 5.8.
Answer: 2.5-1.4=1.1 your welcome
Answer:
1.1
Explanation:
If you subtract 2.5 by 1.4, you get 1.1
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Plz help I don’t know the answer