Answer:
[tex]y = \frac{1}{6} x + 6[/tex]
Step-by-step explanation:
The equation of a line can be written in the form of y=mx+c, where m is the gradient and c is the y-intercept. This form is known as the slope-intercept form.
Use the gradient formula below to find the value of m:
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
*(x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate.
[tex]m = \frac{7 - 5}{6 - ( - 6)} \\ m = \frac{2}{12} \\ m = \frac{1}{6} [/tex]
Substitute the value of m into the equation:
y= ⅙x +c
To find the value of c, substitute a pair of coordinates.
When x= 6, y= 7,
[tex]7 = \frac{1}{6} (6) + c \\ 7 = 1 + c \\ c = 7 - 1 \\ c = 6[/tex]
Thus, the equation of the line is y= ⅙x +6.
9. If f(x) = 5x-4 and f(2a) =156 , then what is the value of a?
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[tex]f(x) = 5x - 4[/tex]
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[tex]f(2a) = 5(2a) - 4[/tex]
[tex]f(2a) = 10a - 4[/tex]
[tex]156 = 10a - 4[/tex]
[tex]10a - 4 = 156[/tex]
Add sides 4
[tex]10a - 4 + 4 = 156 + 4[/tex]
[tex]10a = 160[/tex]
Divide sides by 10
[tex] \frac{10a}{10} = \frac{160}{10} \\ [/tex]
[tex]a = 16[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
anyone whos great at math?!?!?!?!!? the question is [tex]-x^2 -4xy+y^2 when x=-5 and y=-2[/tex]
I ALSO NEED TO SHOW MY WORKK PLAESEEEEE
Answer:
-19
Step-by-step explanation:
x= -5 y = -2
-x^2 - 4xy + y^2
- -5^2 -4(-5 x -2) -2^2 Plug in
+ 5^2 -4(-5 x -2) -2^2 Change the signs for - -5
5^2 - 2^2 - 4(10) Place Liked Terms together
25 - 4 - 40 Subtract
21 - 40
-19
ugh god im getting sick of this lol
Casey is making a flower arrangement with roses r and carnations c the cost of each rose is $0.50 and the cost of each carnation is $0.10 . the arrangement has a total $20. how many of each flower did Casey put in his arrangement
Answer:
r+c=80
.50r+.10c=20
Step-by-step explanation:
each rose costs $0.50
each carnation costs $0.10
The number of roses is r, and the number of carnations is c.
the arrangement has a total of 80 flowers, so we have that:
r + c = 80
the cost is $20, so we have:
r*0.5 + c*0.1 = 20
so our system of equations is:
r + c = 80
r*0.5 + c*0.1 = 20
and we can also solve it; for this isolate one of the variables in the first equation:
r = 80 - c
now let'r replace this in the second equation:
(80 - c)*0.5 +c*0.1 = 20
40 - c*0.4 = 20
c = 20/0.4 = 50
this means that we have 50 carnations, and the other 30 are roses.
i was so lost that i almost forgot the answer was in my face
hope this help shawty
for m(x)=-2x+7, find the value of x for which m(x)=13
Answer:
x = -3
Step-by-step explanation:
m(x) = -2x + 7
13 = -2x + 7
6 = -2x
x = -3
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
okaaaay. this is 10 units to the y axis...
Step-by-step explanation:
The school will not announce a snow day unless there is at least 10 inches of snow on the ground. If it has already snowed 1.5 inches, how much more must it snow before school is canceled?
Answer:
8.5 inches
Step-by-step explanation:
10 - 1.5 = 8.5
Charli deposits $5,000 in a savings account earning 5.75% simple interest per year.
PART A: How much interest will Charli earn for a period of 10 years?
PART B: How much money will there be in Charli's account after 10 years?
I need help quick! Could you and by putting PART A: (answer) and PART B: (answer) Thank you!!! Please help!
Answer:
PART A: 2,875
Step-by-step explanation:
What is the correct answer for both?
Answer:
14) C (-2, 4)
15) D (-3, -3)
Step-by-step explanation:
-6x + 4y = 28
6x + 9y = 24
-6x + 4y = 28
4y = 28 + 6x
y = 7 + 1.5x
6x + 9y = 24
6x + 9(7 + 1.5x) = 24
6x + 63 + 13.5x = 24
19.5x + 63 = 24
19.5x = -39
x = -2
-6x + 4y = 28
-6(-2) + 4y = 28
12 + 4y = 28
4y = 16
y = 4
____________
4x - 4y = 0
-4x + 3y = 3
4x - 4y = 0
4x = 4y
x = y
-4x + 3y = 3
-4(y) + 3y = 3
-4y + 3y = 3
-1y = 3
y = -3
4x - 4y = 0
4x - 4(-3) = 0
4x + 12 = 0
4x = -12
x = -3
Find the slope of the line that passes through the pair of points: (2,-3) and
(0,-2) *
1 point
Answer:
It would be -1/2
Step-by-step explanation:
-2--3/0-2=-1/2
Bacteria doubles every 10 minutes. If you start with 2 bacteria in a petri dish, how many bacteria will there be after 40 minutes?
Answer: I think the answer is 32 bacteria after 40 minutes.
Step-by-step explanation:
I think that's right because the bacteria that have previously multiplied will also be multiplying. 2 becomes 4, 4 becomes 8, etc. until you've reached 40 minutes. (I'm honestly unsure, but I think this is right?) I hope this helped!
The density of a certain material is such that it weighs 4 kilograms per cup of volume. Express this density in pounds per liter. Round your answer to the nearest tenth.
Pls help
Answer: 37.2 pounds per liter
Step-by-step explanation:
The density of the material of 4 kg/cup on converting it into pounds per litre will be 37.2 lbs/lt.
Given that, the density of a certain material is such that it weighs 4 kilograms per cup of volume.
What are derived units?Defining a derived unit is the process of deriving a measurement unit from one or more of the seven base units of the international system of units (SI). There are two types of derived units: dimensionless and the product of base units.
Here it is given that, the density d of a certain material is 4 kilograms per cup of volume and it is finding the density of material in pounds per litre.
Now it is known that,
1 kg equals 2.2 pounds
Now, 1 cup of volume equals 0.237 lt.
Converting the density d of material in pounds per litre and rounding it to the nearest tenth:
d=4 kg/cup
=4×2.2/0.237
=37.13≈37.1 pounds/lt
Therefore, the density of the material of 4 kg/cup on converting it into pounds per litre will be 37.2 lbs/lt.
To learn more about the density visit:
https://brainly.com/question/15164682.
#SPJ2
What can you conclude about the line represented in the table? Select all that apply and have a good day!
Answer: B, C, and F
Step-by-step explanation:
2(x+y) = 5
How would I solve for x ?
What is the congruence statement?
Answer:
triangle pjl is congruent to it's by side side side theorem
how many comments dose the cat video get and how many dose the dog get
Answer: 8 cat videos 7 dog videos
No
Step-by-step explanation:
Write the statement below as a math expression
twice the difference of a number and eight
A.
2n+8
B.
2n-8
C.
2(n+8)
D.
2(n-8)
A stovetop burner on medium reaches 95°C. Which will also receive a flow of heat directly from the burner
Answer:
The surrounding air
Step-by-step explanation:
Answer:
the surrounding air
Step-by-step explanation:
Follow the order of operations.
(4-1 + 8 ÷ 8) muliplied by 5
Answer:
20
Step-by-step explanation:
(4-1 + 8 ÷ 8 )= 4
4 x 5 = 20
Find the equation of a parabola that has a vertex of (3,7) and contains the point (-2,-6)
Answer:
Step-by-step explanation:
what is the value of x
Answer:
x=55⁰
Step-by-step explanation:
the line js supplementary so 180-125= 55
pls vote brainliest
Science, technology, engineering and mathematics or STEM education was an initiative developed by the________________.
A. National Science Foundation
B.National Scholar Foundation
C. National Schools Foundation
D. National Secondary Foundation
Answer:
A
Step-by-step explanation:
look it up on google
Answer:
d
Step-by-step explanation:
Need a brainliest? Answer this !!! Correct and fast answers only!!
Answer:
B
Step-by-step explanation:
Any number times 1 is itself, thus the multiplicative identity property
what amount that is greater than one is represented by a percent that is what 100%.
Answer:
Step-by-step explanation:
A percent greater than 100% represents a comparison between one value that is greater than another value, with the second value being the base, represented by 100%. In situations like rainfall and revenue, these kinds of comparisons are common.
look at the pic below
answer quick please I need this asap
i will mark thx, star you & mark brainliest
Answer:
2 and 1 because look at the question
We are two numbers
Our median is 3
Our minimum is 2, What numbers are we?
Answer:
2,4
Step-by-step explanation:
median=3
minimum is 2
first no. is 2
second no. is 4
g(x)=x+2 graph the parent function
Answer:
Step-by-step explanation:
25 penalties decreased by 32% is __penalties.
what dose –2 + 3 equal
Answer:
-2 + 3 = 1
Step-by-step explanation:
Brainliest? uwu
Which graph represents 2x − 5y ≥ − 20
Answer:
Go to desmos and it will answer literally all of your graphing questions. Just type in desmos graphing calculator.
Step-by-step explanation:
