For each problem, information is given related to a linear relationship. Use the given information to write an algebraic rule for the linear relationship. Write the rule in the form indicated.
50 points and brainly.
Answers
Answer:
a) y = 4x - 2b) y = 3x + 2c) y = 2x - 6Step-by-step explanation:
a)
The slope as per two ordered pairs (-2, -10), (0, -2)
m = (-2 - (-10))/(0 - (-2)) = 8/2 = 4The y-intercept is -2
The equation for this function:
y = 4x - 2b)
The slope is
m = 3The line passes through (1, 5)
The line is:
y - 5 = 3( x - 1) in point-slope formy = 3x +2 in slope-intercept formc)
The slope as per points on the graph (3, 0), (4, 2)
m = (2 - 0)/(4 - 3) = 2The line in point slope form using point (3, 0):
y = 2(x - 3)The line in slope-intercept form:
y = 2x - 6a) substitute m = 4 and c = - 2 into the slope intercept equation, thus, the equation of the line is y = 4x - 2
The answer is y = 4x - 2
b) Let's begin by listing out the given information:
The line has a slope of 3
The equation of the line becomes:
[tex]y = mx + b \\ m = 3 \\ y = 3x + b[/tex]
The line passes through point (1, 5).
We will obtain the equation using the point-slope formula, we have:
[tex]y - y1 = m(x - x1) \\ (x1 \: y1) = (1 \: 5) \\ y - 5 = 3(x - 1) \\ y - 5 = 3x - 3 \\ y = 3x - 3 + 5 \\ y = 3x + 2[/tex]
Therefore, the equation of the straight line is y = 3x + 2
c) we use that point and the slope to replace in the expression:
[tex]y - y1 = m(x - x1)[/tex]
That is:
[tex]y - 0 = 2(x - 3) \: \: y = 2x - 6[/tex]
y = 2x - 6 is the answer
Related Questions
triangle similarity i think ... picture included * SIN COS TAN
Answers
Answer:
d = 105tan(37°)Step-by-step explanation:
opposite (o) = d
adjacent (a) = 105
Angle A = 90 - 53 = 37°
Therefore,
the correct equation would be
tan(A°) = opposite/adjacent
tan(37°) = d/105
d = 105tan(37°) ✅d = 105 × 0.7535540501
d ≈ 79.12 units
______________
#IndonesianPride
- kexcvi
Please solve quickly 11-14
Answers
Answer:
Step-by-step explanation:
11). 6x + 3y = 9
3(2x + y) = 9
2x + y = 3
y = -2x + 3
Since variables are of single degree therefore, it's a linear function
12). 3y - 2x = -2x - 12
3y - 2x + 2x = -2x - 12 + 2x
3y = -12
y = -4
Since variable y is of single degree therefore its a linear function.
13). 11y + 4x = -8 + 11y
11y + 4x - 11y = -8 + 11y - 11y
4x = -8
x = -2
Linear function.
14). 4x - 3 + 2y = 8x - 9
4x + 2y - 3 - 4x = 8x - 4x - 9
2y - 3 = 4x - 9
2y = 4x - 9 + 3
2y = 4x - 6
y = 2x - 3
Linear function.
6. Ria purchased a car for
$14,775. Sales tax in her
county is 6.8%.
a. What is the total price of
the car including tax?
b. If she puts $2,100 down,
how much will she be
financing?
c. What will her monthly
payment be if the term of
the loan is 72 months with
an APR of 3.5%?
Answers
9514 1404 393
Answer:
a) $15,779.70
b) $13,679.70
c) $210.92
Step-by-step explanation:
a) When tax is added, the total cost is ...
total = price × (1 +tax rate)
total = $14,775 × 1.068 = $15,779.70
__
b) The amount financed is the difference between the total cost and the down payment.
financed = total - down35
financed = $15,779.70 -2100 = $13,679.70
__
c) The monthly payment is found using the amortization formula. It can also be found using any of a number of financial calculators, spreadsheets, or apps.
A = P(r/12)/(1 -(1 +r/12)^-n) . . . . annual rate r, n monthly payments, principal P
A = $13,679.70(0.035/12)/(1 -(1 +0.035/12)^-72) ≈ $210.92
Can someone please help
Answers
C because 45.1%=45% so 45% is closest to -3 to 0 degress
Why did you delete my answer?
The driving time varies inversely with the speed of the car If a certain trip takes 40mins when you travel 50 miles per hour how many minutes would it take if you travel 40 miles per hour
Answers
Answer:
the answer is 1300
Step-by-step explanation:
thts how u get it hope this helps!!
plz help asap I'll mark brainliest!!!
Answers
1280
EXPLINSTION
because
The temperature at 5:00 am functions
Answers
Answer:
t2 = 37 °F
Step-by-step explanation:
t
1
=52
∘
F
g=3
∘
F/hr
please help! literally desperate for help asap!
Answers
QTR & TRS
.....................................
Answer:
triangle TQR to triangle TRS
AS angle QRT= angle RTS
QR=TS
and their height are same
hope it helps! :)
A triangle has sides with lengths of 7 meters, 10 meters and 13 meters is it a right triangle
Answers
Answer:
No
Step-by-step explanation:
7 squared + 10 squared = 149
13 squared = 169
As you can see these two products are not equal. They have to be equal to be a right triangle.
So this triangle is not a right triangle.
Hope that helped you and have a great day!
Answer:
No it is not.
Step-by-step explanation:
Let h = 13, p = 10 and b =7
Using pythagoras theorem,
h² = p² + b²
13² = 10² + 7²
169 = 100 + 49
169 = 149
This is false so the triangle is not a right angled triangle.
6.5 ft 6 ft- 11 ft N 5 ft What is the surface area? A 258 square feet B 195 square feet C 228 square feet D 330 square feet
Answers
Answer:
Step-by-step explanation:
area of base = 5×11 = 55 ft²
area of triangle = ½×5×6 = 15 ft²
area of rectangular face = 6.5×11 = 71.5 ft²
surface area = 55 + 2×15 + 2×71.5 = 228 ft²
Can anyone help with this please
Answers
Answer:
B
Step-by-step explanation:
B is correct. Only positive equation with y int at 2
Answer:
b
Step-by-step explanation:
What is the graph for y=2x+2?
There are 2 ways to do this problem. The easier method is to set x as two random numbers, and find y for both of the situations. Then, you will find that, for example,
When x = 0, y = 2 and when x = -1, y = 0. The only graph that has these two points is b, so that is the answer.
However, there is a more reliable way to do this.
First, let's go over what slope is. Slope is the "m" in y=mx+b and can be found by doing "rise over run". In other words, it represents how steep the line is/how fast it rises. If there is a negative slope, the graph moves down, like in c or d. If there is a positive slope, the line moves up, like in a or b.
We need to find a graph that has a slope of two (for every x, y rises by 2 [like if x=1, y=2, or when x=2, y=4, etc.). This only leaves option b as an answer.
round off 45682 in two significant figure
Answers
Answer:
Rounded it's 46,000
Step-by-step explanation:
Explanation:
In “45682”
‘5’ is the second significant figure.
While rounding off, we have to check the number behind the one chosen, in this case 5 is chosen. So we will look at the one behind 5 which is 6.
As 6 is larger than 5, we will round up.
The answer is 46000
Brief notes:
If the number is smaller than 5, we round down,
If the number is larger than 5, we round up.
If the number is equal to 5, we still round up.
solve the following
a brick measures
l= 15 cm
b= 8 cm
h= 5 cm
how many bricks will be used to make a wall of length=15 m, breath=10 m and height=8m
Answers
Answer:
2000000 bricks
Step-by-step explanation:
The computation of the number of bricks to be used is shown below:
The Volume of brick is
= (15 × 8 × 5)cm^3
= 600 cm^3
And, the Volume of wall is
= (1500 × 1000 × 800)cm^3
= 1200000000 cm^3
Now Bricks needed is
= 1200000000 cm^3 ÷ 600cm^3
= 2000000 bricks
9) Find the measurement of angle XAW. *
Answers
Answer:
50 degrees
Step-by-step explanation:
They are verticle angles
Please help me will give Brain
Answers
Answer: i BELIEVE YOUR ANSWER IS
.....
B
Step-by-step explanation:
What is
5
6
−
3
8
?
A.
1
3
B.
9
16
C.
1
12
D.
11
24
Answers
5/6 - 3/8
Rewrite the fractions to have a common denominator:
5/6 x 4 = 20/24
3/8 x 3 = 9/24
Now you have 20/24 - 9/24 = 11/24
The answer is D. 11/24
Answer:
D. 11/24
Step by Step Explanation:
Just use cymath.
help plss thank you -
Which statement correctly describes the number 0.81382?
A.
The number is rational because it is a terminating decimal.
B.
The number is rational because it is a repeating, non-terminating decimal.
C.
The number is irrational because it is a non-repeating, non-terminating decimal.
D.
The number is irrational because it is a repeating decimal.
Answers
0.81382 is a rational number because it is a terminating decimal.
What is rational number?
A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero, and also whose behavior is known.
What is irrational number?An irrational number is a type of real number which cannot be represented as a simple fraction and also whose behavior is not known.
According to the given question.
We have a number 0.81382
The above number is not repeating but terminating.
Therefore, we can say that the above number is rational because it is a terminating decimal.
Hence, 0.81382 is a rational number because it is a terminating decimal.
Find out more information about rational and irrational number here:
https://brainly.com/question/17450097
#SPJ2
pleaseeee Answer! Will Mark as Brainliest for the Best Answer
Answers
................................
Answer:
[tex]p^{4} s^{5} y^{-7} z^{-1}[/tex]
Step-by-step explanation:
[tex]\frac{1}{y^{7} } = y^{-7}[/tex]
[tex]\frac{1}{z} = z^{-1}[/tex]
Geometry review worksheet
Answers
Dare to do this if you are geiness
Express 750×900as a product of it prime factors using exponents
Who did this get a follow and marked as brainliest
Answers
Answer:
2^3 x 3^3 x 5^4
Step-by-step explanation:
750 x 900 = 675000
675000 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 x 5
Which in product of prime factors is = 2 to the power of 3 x 3 to the power of 3 x 5 to the power of 4
Solve for X
[tex] \frac{3x - 2}{3x + 1} = 3[/tex]
help pls
Answers
The answer is x = -5/6
And in decimal form it would be, -0.8333333
Arthur is organising his collection of dvds he has 135 altogether. The ratio of comedy films to action horror is 6 : 8 : 1
Answers
Answer: See explanation
Step-by-step explanation:
The number of comedy films will be:
= 6/(6+8+1) × 135
= 6/15 × 135
= 54 comedy films
The number of action films will be:
= 8/(6+8+1) × 135
= 8/15 × 135
= 72 action films
The number of horror films will be:
= 1/(6+8+1) × 135
= 1/15 × 135
= 9 horror films
If a triangle has side lengths of 28,45, and 50, is the triangle acute,obtuse,or right?
Answers
Answer:
Acute i think
Step-by-step explanation:
Answer:
acute
Step-by-step explanation:
I need help ......................
Answers
Answer:
this is to hard
Step-by-step explanation:
7, 8 ,9 ,0 10
convert the following decimals into rational numbers:
1.4325
Answers
Answer
[tex]\frac{573}{400}[/tex]
step-by-step explanation:
[tex]\frac{1.4325}{1}[/tex] × [tex]\frac{10000}{10000}[/tex] = [tex]\frac{14325}{10000}[/tex]
Simplify
[tex]\frac{14325}{10000}[/tex] ÷[tex]\frac{25}{25}[/tex] = [tex]\frac{573}{400}[/tex]
Parallel Lines cut by a transversal
Answers
Answer:
110
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Set the two given equations equal to each other (alternate angles i think)
12x + 2 = 11x + 11
**simplify and pull x to one side**
x = 9
**now insert x=9 into one equation (I choose 12x+2**
12(9) + 2 = 108 + 2 =110
A
The number of hot drinks sold in a café decreases as the weather becomes warmer. What type of correlation does this statement show?
Answers
Oof :<
I can’t put my fInGer on this question
Answers
Answer:
B 21.50 dollars
Step-by-step explanation:
find the value (s) of the variables (s) in each parallelogram.
Answers
Step-by-step explanation:
As we can see it is a parallelogram so here the diagonals bisect so
6y + 1 = 4y + 9
6y - 4y = 9 - 1
2y = 8
y = 8 / 2
y = 4
2x - 5 =x + 7
2x + x = 7 + 5
3x = 12
x = 12 / 3
x = 4
Hope it will help :)
Answer all the four q
Answers
Answer:
MATHMATICS - MTHMTCS
SEPTEMBER - SPTMBR
ANCILLARY - NCLLR
PTERODACTYL-PTRDCTL
Hopefully this helps <3