Write the equation of the line that passes through the points (2, 1) and (5, -8)
Answer:
The answer is y = -3x + 7.
Step-by-step explanation:
❃Incase you forgot what the linear equation formula is ☟
[tex]y = mx + b[/tex]
❃Incase you also forgot, what the slope formula is ☟
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
➊ First: We are going to be solving for the slope.
[tex]m = \frac{ - 8 - 1}{5 - 2} = \frac{ - 9}{ \: \: \: 3} = - 3[/tex]
➋Second: We find the y-intercept.
[tex]y = mx + b \\ 1 = - 3(2) + b \\ 1 = - 6 + b \\ \frac{ + 6 = + 6 \: \: \: \: \: \: \: \: \: }{7 = b}[/tex]
➌Third: Plug in.
[tex]y = - 3x + 7[/tex]
What is the slope of this line?
A) Positive slope
B) Negative slope
C) zero
D) undefined
Question Progress
Exam Paper Progress
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Grade For This Paper
1
Sue is thinking of a number.
3
of 88
1
8
8
What number is she thinking of?
Question:
Sue is thinking of a number 3/8 of 88 = 1/3 of her number
what number is she thinking of
Answer:
[tex]x = 99[/tex]
Step-by-step explanation:
Represent the number with x.
So, we have:
[tex]\frac{3}{8} * 88 = \frac{1}{3} *x[/tex]
Multiply through by 3
[tex]3 * \frac{3}{8} * 88 = \frac{1}{3} *x * 3[/tex]
[tex]3 * \frac{3}{8} * 88 = x[/tex]
[tex]3 * 3 * 11 = x[/tex]
[tex]99= x[/tex]
[tex]x = 99[/tex]
Hence, she is thinking of 99
Clare went to a concession stand that sells pretzels for $3.25, drinks for $1.85, and bags of popcorn for $0.99 each. She bought at least one of each item and spent no more than $10. Could Clare have purchased 2 pretzels, 2 drinks, and 2 bags of popcorn? Explain your reasoning. Check your work with the video when you are ready
Answer:
No.
Step-by-step explanation:
Price of each pretzel = $3.25
Price of each drink = $1.85
Price of each bag of popcorn = $0.99
Maximum money to be spent = $10
Price of two pretzels = $3.25 [tex]\times[/tex] 2 = $6.5
Price of two drink = $1.85 [tex]\times[/tex] 2 = $3.70
Price of two bags of popcorn = $0.99 [tex]\times[/tex] 2 = $1.98
Total money spent for buying two items of each type = $6.5 + $3.70 + $1.98 = $12.18
The money spent when 2 pretzels, 2 drinks and 2 bags of popcorn are bought is $12.18.
But maximum money available is $10.
Therefore, Clare would not be able to buy 2 pretzels, 2 drinks and 2 bags of popcorn with the amount of money available.
The graph shows the value of an investment after x years.
the initial amount of the investment is $___ , the investment grows at the rate of ___% each year, and the value of the investment after 10 years is $___
NEED HELP!!! I WILL GIVE POINTS IF HELP IS GIVEN!!
Step-by-step explanation:
it looks like compound interest.
initial amount $500
6% growth
after 10years $895.42
5+5
and 4 with a side of 3
Answer:
10 and 3/4??
High Hopes
Barry-
Can somone help me on this with an explanation PLZ :(
Which of the following expressions are equivalent? Justify your reasoning.
A. x34
B. 1x−1
C. x5•x4•x210
D. x13•x13•x13
Justify why it’s B and D
Answer
Step-by-step explanation:
i dont know but pls dont hate me no one anserd for 15 hours so i took some points
Plss help. I am having trouble with question (d).
Answer:
im not sure...cuz it says 50%
its either 11.625 or 5.8125
it is the 1st one if the question means all average but if not PROBABLY only PROBABLY the right one
Step-by-step explanation:
I added all the hours together and divided it by 24 to get 11.625 but if the ans is 5.1825 ill divide 11.625 over 2
In the morning the temperature was -9°F The temperature increased by
25° at noon. Which was the temperature at noon?
Answer:
16
Step-by-step explanation:
what is the expression 4c - 3 when c = 2
60 PTS+ BRAINLIEST IF CORRECT (RANDOM OR INCOMPLETE ANSWERS WILL BE REPORTED)
Question 1(Multiple Choice Worth 1 points)
(05.05 MC)
Given the frequency table, what percentage of the students that like rock are also in grades 11–12? Round to the nearest whole percent.
Band Preference for School Dance
Rap Rock Country Row totals
Grades 9–10 40 30 55 125
Grades 11–12 60 25 35 120
Column totals 100 55 90 245
10%
21%
25%
45%
Answer:
d. 45%
Step-by-step explanation:
According to the frequency table there are 30 sudents who like rock in grades 9-10 and 25 students that like rock and are in grades 11-12.
25 ÷ 55 = n ÷ 100
25 · 100 = 55 · n
2500 ÷ 55 = n n = 45.454545 n = 45%
55 is the total amount of students that like rock
25 is the total amount of students that like rock in grades 11-12
100 is the total percentage
need help solving a practice question
Answer:
x=10
Step-by-step explanation:
Using Pythagoras theorem
H^2=O^2+A^2
26^2=24^2+A^2
676= 576+A^2
676-576= A^2
100= A^2
square root both sides
10= A
Therefore, x=10
Solve the system of linear equations by graphing. y=-3x + 1 y = x- 7
Answer:
(2,-5)
Step-by-step explanation:
Please answer please ASAP * please don’t answer if you don’t know please .
Answer:
x = 26
Step-by-step explanation:
1. Information
One can partition this figure into three different parts, two congruent triangles, and one rectangle. To find the value of x, one has to find the base of the two triangles, and then the base of the rectangle. Since opposite sides are congruent, the base of the rectangles is 10. To find the base of the triangle, one has to use the Pythagorean theorem.
2. Base of the rectangle
Again, opposite sides are congruent, hence the base of the rectangle is equivalent to the top part. Hence the base is 10.
3. Base of the triangle
Use the Pythagorean theorem;
[tex]a^{2}+b^{2} = c^{2}\\a-leg\\b-leg\\c-hypotenuse[/tex]
Substitute in the given value and solve
[tex]a^{2}+15^{2} = 17^{2}\\a^{2} + 225 = 289\\a^{2} = 64\\a = 8[/tex]
4. Finding x
There are two congruent trinagles, hence one has to add the base of the triangle twice. The equation will be
x = base_of_triangle + base_of_rectagle + base_of_triangle
x = 8 + 10 + 8
x = 26
2. Out of 35 students participating in a debate, 10 are girls. The probability that winner is a boy is: a)1/7 b)3/7 c)4/7 d)5/7
Answer: d) 5/7
Step-by-step explanation:
10 out of 35 of the students are girls. The number of boys is therefore:
= 35 - 10
= 25 boys
Probability that the winner is a boy is:
= 25/35
Take that fraction to the simplest by dividing both by 5:
= 5/7
Please Answer this! 65 + _____ − 15 = 65
a −b +b = _____ C-D+D=_ Please explain too
Answer:
15
Step-by-step explanation:
jdjeishebvejeisik2behe
-7x - 36 = 20 -3x
Help
Step-by-step explanation:
-7x-36=20-3x
-36-20=-3x+7x
-56=4x
-56/4=X
-14=X
X=-14 answer
Write slope intercept of the equation with slope of 7 crossing point (0, 5)
Answer:
y=7x+5
Step-by-step explanation:
The graph shows the solution to which system of inequalities
Answer: the third one
Step-by-step explanation:Hope this is correct
If the measure of Angle B E C is (2 x + 3) degrees and x = 30, which expression could represent the measure of Angle A E D?
Lines A C and B D intersect at point E.
(4 x minus 3) degrees
(3 x minus 27) degrees
(5 x minus 33) degrees
(x + 43) degrees
Answer:
(3x−27)o
Step-by-step explanation:
we know that
m\angle BEC=m\angle AEDm∠BEC=m∠AED ----> by vertical angles
we have
m\angle BEC=(2x+3)^om∠BEC=(2x+3)o
The value of x is given
x=30
so
m\angle BEC=(2(30)+3)=63^om∠BEC=(2(30)+3)=63o
That means that the measure of angle AED is also 63 degrees
so
The expression that could represent the measure of Angle A E D is
(3x-27)^o(3x−27)o
because
For x=30
(3(30)-27)=63^o(3(30)−27)=63o
Answer:
(3x−27)o
Step-by-step explanation:
Is − 379 in the sequence below? -5,-7,-9,-11,-13
PLEASE HELP ASAP
-379 is not in the sequence, the answer is NO, -379 is not in the sequence -5, -7, -9, -11, -13.
To determine if -379 is in the sequence -5, -7, -9, -11, -13, we need to check if it follows the pattern of the sequence.
The sequence appears to be decreasing by 2 at each step. Starting from -5 and subtracting 2 successively, we get:
-5, -7, -9, -11, -13, ...
To find out if -379 is in the sequence, we continue subtracting 2 from the last number in the sequence (-13) until we reach -379:
-13 - 2 = -15
-15 - 2 = -17
-17 - 2 = -19
...
(continue subtracting 2 until we reach -379)
Since -379 is not in the sequence, the answer is NO, -379 is not in the sequence -5, -7, -9, -11, -13.
To know more about sequence
https://brainly.com/question/7882626
#SPJ2
PLS JELP NOWOWOWIWOW
Answer:
last option. absolute value doesnt matter whether it is positive or negative
Step-by-step explanation:
11. An astronaut who weighs 180 lb on Earth weighs only 9 lb on Mars. How much would a person who
weighs 13 lb on Mars weigh on Earth?
I also need fraction work
Answer:
260 lb
Step-by-step explanation:
180/9=20
13*20=260
Answer:
260 lbStep-by-step explanation:
Use the ratio
Earth : Mars = 180: 9Simplify
Earth : Mars = 20 : 1Find the weight x on Earth of the person with weight 13 lb on Mars:
20 : 1 = x : 13x = 20*13/1 = 260 lbWhat is the slope of a line perpendicular to the line whose equation is 10 x + 6 y = − 84 10x+6y=−84.
Answer:
3/5
Step-by-step explanation:
The equation of a line is written as
y = mx + b where
m is the slope
b is the y-intercept.
We put the given equation above in that form
10x + 6y = - 84
6y = -10x - 84
Divide both sides by 6
y = -10x/6 - 84/6
y = -5x/3 - 14
y = -5/3x - 14
The slope of this line is -5/3
But we are told that: the slope of the line is perpendicular to the line
Hence: we find the reciprocal of , -5/3
This is = 3/5
Therefore, the slope of a line perpendicular to the line whose equation is 10x + 6y = −84 is 3/5
How to get the answer for I paid $3.00 for 2/5 pound of turkey meat what is the price per pound of the turkey meat
Answer:
7.50
Step-by-step explanation:
begin with $3, divide by 2, multiply by 5
is 7x+y+3=y a linear equation. also is this in standard form
Answer:
Hi! The correct answer is 7x=-3!
Step-by-step explanation:
~Write in standard form~
f(x) = -2(x + 1)2 - 3
Answer:
f= -4x-7/x
Step-by-step explanation:
Question 2 of 5
Ethan buys 4 packs of muffins. He uses a coupon and
saves $2 off the total.
Which expression represents his total cost?
O A. 4- 2m
B. 4+2
C. 4m - 2
D. 4m + 2
Giving brainliest
Answer:
It is c you are subtracting for the 4 pack of muffins
Answer:
C
Step-by-step explanation:
Assuming that m represents the cost, the correct answer would be C because you are buying 4 packs of muffins and you are subtracting 2 dollars. This is very hard to explain, it's easier to explain with numbers.
Let's assume that each pack of muffins is 2 dollars. Since we are buying 4 packs, we would multiply the number of packs (4) by the amount each pack costs (2). Then since we have a 2 dollar coupon, we subtract two dollars off of the price, so the equation would be 4(2)-2 where 2 represents m.
It wouldn't make sense to add two dollars because we have a coupon, so we're saving money, not adding money.
and it wouldn't make sense for the coupon to be saving more money by how much the cost of the muffin is, otherwise we would get it for free!!
The only logical answer is C because we are saving money and 4m represents the amount of money we are spending on the muffins.
Find Cara's average speed for her run.
Answer:
I would say 800, sorry if it was wrong
Step-by-step explanation:
She ran the most on 800