Answer:
y = ¼x + (-7/4)Step-by-step explanation:
find the gradient ( M)
M = y2- y1 ÷ x2-x1
M= -3 - (-1)÷(-5)-3 = ¼
thefind C in the equation (y=mx+c)
C = y-mx ( C = -1-¼(3)= -7/4(use in y and x values provided)
now replace the values you find in the equation (y=Mx+C)
final answer is
y = ¼x+(-7/4)y = ¼x + (-7/4) is the standard form for the line that passes through (3, −1) and (−5, −3)
What is Slope intercept form?y=mx=c is the slope intercept form of a line, m is the slope.
We need to find equation of line passing through (3, −1) and (−5, −3)
First we need to calculate slope 'm'.
slope m = y2- y1 / x2-x1
y2=-3, y1=-1, x2=-5, x1=3
m= -3 - (-1)/(-5)-3 = -2/-8=1/4
Equation of line, y=mx+c
find C in the equation (y=mx+c)
C = y-mx
C = -1-1/4(3)= -7/4
now replace the values you find in the equation (y=Mx+C)
y =1/4x-7/4
Hence y =1/4x-7/4 is the equation of line passes through (3, −1) and (−5, −3).
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Find the 13th term of the geometric sequence 7, 21, 63, ...7,21,63,.
Answer:
3,720,087
Step-by-step explanation:
Multiply each number by 3.
A 2 feet- wide walkway surrounds a rectangular swimming pool. The swimming pool is 12 feet wide and 16 feet long. What is the area of the walkway
Answer:
128 sq. ft.
Step-by-step explanation:
The outer sides of the walkway will have a length of 20 feet and the breadth will be 16 feet
The area of the pool along with the walkway will be 20 × 16 = 320 square feet.
Area of the pool without the walkway will be 16 × 12 = 192 square feet.
Therefore area of the walkway will be
352 - 216 = 128 square feet.
rewrite the equation in slope-intercept form y + 4 = -2 (x-5)
Answer:
y = -2x + 6
Step-by-step explanation:
Slope intercept form: y = mx +b
y + 4 = -2(x - 5)
y + 4 = -2x + 10
y = -2x + 10 - 4
y = -2x + 6
An auto shop charges a customer an equal amount for each new tire purchased plus an additional fee for an oil change.
The function C(t) = 87t +32 represents the total cost, C, of getting an oil change and purchasing t, tires.
What does the number 87 represent in the function?
A The slope and the cost per tire purchased.
B The slope and the fee for an oil change.
The y-intercept and the cost per tire purchased.
The y-intercept and the fee for an oil change.
The cost per unit of the auto shop function is the slope of the function
87 represents the slope and the cost per tire purchased
The function is given as:
[tex]\mathbf{C(t) = 87t + 32}[/tex]
A linear function is represented as:
[tex]\mathbf{C(t) = mt + b}[/tex]
Where:
m represents the slope or the unit rate.
So, by comparison:
[tex]\mathbf{m = 87}[/tex]
This means that 87 represents the slope and the cost per tire purchased
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Factor the following polynomials:
1.) 100a² - 25b²
2.) m³ + 125
3.) 8a³ - 64b³
4.) x² - 8x + 12
5.) b² - 6b - 27
Step-by-step explanation:
1. 100a²-25b² [use : a²-b² formula : (a+b)(a-b)]
=> 25(4a²-b²)
=> 25(2a-b)(2a+b).
2. m³+125 [use : a³+b³ formula: (a+b)(a²-ab+b²]
=> m³+5³ => (m+5)(m²-5m+25).
3. 8a³-64b³ [use : a³-b³ formula: (a-b)(a²+ab+b²]
=> 8(a³-8b³) => 8(a-2b)(a²+2ab+b²)
4. x² - 8x + 12 [middle term breaking)
=> x²-2x-6x+12 => x(x-2)-6(x-2) => (x-2) (x-6)
5. b² - 6b - 27 [ middle term breaking]
=> b²-9b+3b-27 => b(b-9)+3(b-9) => (b-9)(b+3).
hope this helps you.
List the first 4 terms of the sequence 2n² +n -2
Answer:
1, 7, 17, 31
Step-by-step explanation:
2(1)² + 1 - 2 = 3-2 = 1
2(2)² + 1 - 2 = 9-2 = 7
2(3)² + 1 - 2 = 19-2 = 17
2(4)² + 1 - 2 = 33-2 = 31
Which of the following is a characteristic of a deferred payment plan? (2 points)
There is an introductory period where no interest is accrued.
The item purchased is used as collateral until the balance is paid in full.
A down payment is always required.
A certain number of payments must be made before the product is owned.
A characteristic of a deferred payment plan is that the item purchased is used as collateral until the balance is paid in full.
A deferred payment plan is a form of credit purchase, a way to pay for an item in arrears. The payment is usually divided into several installments, which are distributed over a certain period of time. Interest and fees are often added, which in the end makes the purchase considerably more expensive than if you had paid in cash.
Thus, through this payment system, the asset is delivered to the buyer before the payment is completed, thereby constituting the asset itself as an enforceable guarantee of payment compliance.
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PLEASE HELP I'M MARKING BRAINLIEST!!!!!!
Answer:
download Gauthnath and see answer
find the mean of
35,26,31,16,21,23,27,30,26,17,19,27
Hello!
To find the mean, we must add all the terms in the dataset and divide by how many there are.
35+26+31+16+21+23+27+30+26+17+19+27=450
There are 12 terms in the dataset, so we divide by 12:
37.5
So the mean of this set is 37.5.
Hope this helps you!
~Just a joyful teen
[tex]SilentNature[/tex]
( PLASE HELP ME) Solve the following equation.
5(x−4)=−10
Please provide both your answer AND your work. You will not receive full credit if you do not show your work for this question.
Answer:
x = 2
Step-by-step explanation:
5(x-4) =-10
Distribute 5 by multiplying x and -4 by 5
5x - 20 = -10
Add 20 to both sides
5x - 20 + 20 = -10 + 20
5x = 10
Divide both sides by 5
5x ÷ 5 = 10 ÷ 5
x = 2
-Chetan K
PLS HELP GIVING BRAINLIEST!
Given f(x)=3x^2+x−5, find: f(−1)
Answer:
-3
Step-by-step explanation:
its very easy correct me if im wrong brainliest btw
Determine whether the function shown in the graph is even or odd.
The graph starts at the bottom left, continues up through the x-axis near negative one point seven five to a maximum around y equals two, goes back down through the x-axis at the origin to a minimum around y equals negative two, and goes back up through the x-axis near one point seven five.
A) The function is even because it is symmetric with respect to the y-axis
B) The function is odd because it is symmetric with respect to the y-axis.
C) The function is even because it is symmetric with respect to the origin.
D) The function is odd because it is symmetric with respect to the origin.
Answer:
the answer is d
Step-by-step explanation:
i got it right
THE DIMENSIONS OF A CUBED ARE 4X C.M,6X C.M AND 10X C.M
A.FIND THE THE TOTAL SURFACE AREA
B.FIND THE VOLUME
Answer:
A. 248 square CM
B. 240 cubic CM
9 pls pls pls help meeee!
Answer:
not possible
........................................
pls correct answer for brainliest answer
Step-by-step explanation:
let tye number Ahmed thinks be x.
so, a/q
the equation is,
→ 2x/5 = 4
→ 2x = 4×5 = 20
→ x = 20/2
→ x = 10
therefore, he thinks the number 10.
hope this answer helps you dear!
Answer:
10
Step-by-step explanation:
I'm doing it from the end.
if the answer is 4, you have to multiple it by 5 and then divide it by 2
4 x 5 ÷ 2 = 10
10 multiple by 2 is 20 and 20 divided by 5 is 4 so
10 is correct answer
Write an expression that
exponent.
equals 40. Include an exponent
Answer:
8x2 to the second power plus 8.
Step-by-step explanation:
not my answer but I hope this helps
40 = 49 - 9
49 is equal to 7×7, or 7². 9 is equal to 3×3, or 3².
we can write this as [tex]7^{2}[/tex] - [tex]3^{2}[/tex]
Another way:
(10 - 3[tex])^{2}[/tex] - [tex]\sqrt{81}[/tex]
Are the graphs of the equations parallel, perpendicular, or neither? y = 4x + 1 and y = -4x -
Answer:
I am not sure if you fully typed the second equation, but both of these that are written down intersect, there for are perpendicular.
If the second equation is incorrect, let me know and I'll be happy to help you :)
Hong rented a truck for one day. There was a base fee of $14.95,and there was an additional charge of 91 cents for each mile driven.Hong had to pay $244.27 when he returned the truck. For how many miles did he drive the truck?
A number written in word is in:
Exponential form
Expanded form
Standard form
Answer:
standerd form
Step-by-step explanation:
because it have to be in standerd form
Ajar contains 16 beads. 4 beads are red, 4 are yellow, 5 are green, and 3 are blue.
Which is the probability of picking a blue bead?
Answer:
3/16
Total no.of beads = 16
No.of blue beads = 3
Probability of picking a blue bead = 3/16
Step-by-step explanation:
Hope this helps
can i get braineist pls
Solve the system by using matrices.
X = 4
X + y = -6
4x - 3y + 2z = 26
Answer:
x=4, y=-10, z=-10
Step-by-step explanation:
solve using substitution method2x + 8y = 4x = -4y - 2
Please help!
17. A salesperson earns a base monthly salary of $2000 plus a 10% commission on sales. The salesperson's
monthly income I (in dollars) is given by the function I(s) = 0.1s + 2000, where s is the sales (in
dollars) that the salesperson makes. Sketch a graph to illustrate each situation using the graph of
I(s) = 0.1s + 2000 as a reference.
A. The salesperson's base salary is increased.
B. The salesperson's commission rate is decreased.
The earning of the salesperson is an illustration of a linear function.
The possible functions in the two scenarios are: [tex]\mathbf{I(s) = 0.1s + 2500}[/tex] and [tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]
The function is given as:
[tex]\mathbf{I(s) = 0.1s + 2000}[/tex]
When the base salary is increased, a possible function is:
[tex]\mathbf{I(s) = 0.1s + 2500}[/tex]
This is so, because 2500 is greater than 2000
When the commission rate is decreased, a possible function is:
[tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]
This is so, because 0.05 is less than 0.1
So, the possible functions in the two scenarios are:
[tex]\mathbf{I(s) = 0.1s + 2500}[/tex] and [tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]
See attachment for the graphs of both functions
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Plz help this is for a grade‼️ the ratio of males to females in the middle school is 6:8. If there are 126 make students,how many frmale stufents are there?
Answer:
kzkakkalqlqoqowowpwowppw
Please help!!!!!!! I only have 20 minutes left!!
Step-by-step explanation:
You need to find the total number of students the pie chart will represent:
17 + 35 + 38 = 90
So you know, 360° represents 90 people
You can then find out the angle for each person: 360 ÷ 90 = 4
Each person is 4°
a)
1. 17 people took French so you would do 4° × 17 = 68°
2. 35 people took German so you would do 4° × 35 = 140°
3. 38 people took Italian so you would do 4° × 38 = 152°
b)
17 out of 90 people chose french so the probability would be 17/90
please solve this construction for me
Answer:
Kaksjnzhxjz zn, nxnjxbjzznbz zn z xnxjz zbjz xj x, j xn, nxmj, xjbznznxjx nzjzjz dbz dnz xbxxjz
A plane travels a distance of 17,000 km in a time of 2.4 hours.
What is its average speed rounded to the nearest whole number?
Answer:
7083 KM/H
Step-by-step explanation:
17000 / 2.4 = 7083 (Plus some decimals, but rounded up its 7083.)
Translate this sentence into an equation.
112 is the product of Donnie's height and 8.
Use the variable d to represent Donnie's height.
Answer:
8d = 112
Step-by-step explanation:
In the sentence:
112 is the result, so the calculation is equal to 112: '?' = 112
Donnie's height times 8 is equal to the result: 8d = 112
13 can someone please explain this
Answer:
8.
Step-by-step explanation:
13).
This is an equilateral triangle.
We see that all 3 angles are equal, so all sides are equal also.
So 2x - 6 = 10
2x = 16
x = 8.
Answer:
Step-by-step explanation:
If I am correct the triangle has equal sides and I think you're trying to find x. So 10=2x-6 and then solve. Once you get the x (assuming you know how to get it) plug it into the equation (of 2x-6) and get the remaining number. (For example: if x=2 then 2x2-6, then you solve: 2x2=4 4-6=-2) I don't know if you want the answer though...
(depends if you want x or the rest)
Solving inequalities unit portfolio task 2-3?
Answer:
What is the question from Solving inequalities unit portfolio task 2-3?
Step-by-step explanation:
Comment it down below and I will solve it! :D