Solve the system of linear equations by graphing y = -4x + 2 ; y = -x - 1
What is the solution?
Answers
Answer:
Step-by-step explanation:
Easiest way would be to substitute points into the given equations and plot your answers.
E.g. if you substitute points into your first equation you get:
If x = 0, y = -4(0) +2 = 2
If x = 1, y = -4(1) +2 = -2
If x = -1, y = -4(-1) +2 = 6
Etc.
Second equation:
If x = 0, y= -(0) -1 = -1
If x = 1, y = -1 -1 = -2
If x = -1, y = -(-1) -1 = 0
Pretty much just plug in values for x into the equations to find y.
Once you have your points, draw a line :)
Where the two lines intercept would be the solution.
Related Questions
Henry recorded how many pounds of fruits and vegetables his
family bought during the past two months.
Answers
ok
uibciuendsjdddddddddddddddddddddddddddddddddddddddddddddddddddddddddfffffffffffffff
The required answer is,
A) The weight of 4 fruits round to the nearest 0.1 pound is-
Apple = 2.1
Blueberries = 1.1
lemon = 1.0
Orange = 3.5
B) The weight of 4 vegetables round to the nearest 0.01 pound is-
Asparagus = 2.32
Beats = 1.86
Celery = 1.40
Corn = 2.56
What is rounding of digit?Rounding is a process to estimate a particular number in a context.
To round a number look at the next digit in the right place, if the digit is less than 5, round down and if the digit is 5 or more than 5, roundup.
Now the given weights in pounds of the fruits are,
Apple = 2.068
Blueberries = 1.07
lemons = 1.031
Orange = 3.502
Peaches = 2.608
Pears = 3.592
The given weights in pounds of the vegetables are,
Asparagus = 2.317
Beats = 1.862
Celery = 1.402
Corn = 2.556
Potatoes = 3.441
Red onions = 1.863
Now picking the 4 fruits,
Apple = 2.068
Blueberries = 1.07
lemons = 1.031
Orange = 3.502
To round the weight to the nearest 0.1 pounds we see the digit at 0.1 place, if the digit right to the 0.1 place is greater than or equal to 5 roundup the digit, and if it is less than 5 round down the digit.
Thus,here we get
2.068 = 2.1
1.07 = 1.1
1.031 = 1.0
3.502 = 3.5
Thus, the weight of 4 fruits round to the nearest 0.1 pound is-
Apple = 2.1
Blueberries = 1.1
lemon = 1.0
Orange = 3.5
Now picking 4 vegetables,
Asparagus = 2.317
Beats = 1.862
Celery = 1.402
Corn = 2.556
To round the weight to the nearest 0.01 pounds we see the digit at 0.01 place, if the digit right to the 0.01 place is greater than or equal to 5 roundup the digit, and if it is less than 5 round down the digit.
Thus,here we get
2.317 = 2.32
1.862 = 1.86
1.402 = 1.40
2.556 = 2.56
Thus, the weight of 4 vegetables round to the nearest 0.01 pound is-
Asparagus = 2.32
Beats = 1.86
Celery = 1.40
Corn = 2.56
The required answer is,
A) The weight of 4 fruits round to the nearest 0.1 pound is-
Apple = 2.1
Blueberries = 1.1
lemon = 1.0
Orange = 3.5
B) The weight of 4 vegetables round to the nearest 0.01 pound is-
Asparagus = 2.32
Beats = 1.86
Celery = 1.40
Corn = 2.56
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PLEASE HELP!!! I DON’T KNOW THISSS, DUE RLLY SOON
Jenny has only 3 1/2 cups of flour in her house. She needs 1 5/8 cups for a brownie recipe. Her sister Jody needs 1 3/4 cup flour for her cookie recipe. Will there be enough flour for both recipes?
Answers
Answer:
yes, Jenny has enough flour for both recipes
Step-by-step explanation:
First, find what Jody and Jenny need for both their recipes. For this, we need a common denominator, 8
1 5/8=13/8
3/4=6/8
13/8+6/8=19/8
Jody has 3 1/2 cups of flour, which is 7/2 cups or 28/8.
Now we need to make sure that 28/8 is greater than 19/8
28>9.... so she has enough flour!
The table shows the ratio of caramel corn to cheddar corn in a bag. What is the constant of proportionality?
Cheddar Corn Caramel Corn
10 15
20 30
30 45
1.5
5
15
0.67
Answers
Answer:
1.5
Step-by-step explanation:
Cheddar Corn Caramel Corn
10 15
20 30
30 45
(10,15) (20,30) (30,45)
if you graphed this the unit rate would be (1,1.5)
the constant of proportionality is 1.5
If you do this, I'll give you the crown.
Solve each problem.
The classroom had 25 glue sticks. If the ratio of glue sticks to glue bottles was 5 : 2, how many glue bottles did the classroom have?
Answer:
A student finished 8 of her homework problems in class. If the ratio of problems she finished to problems she still had left was 4 : 1, how many homework problems did she have total?
Answer:
A recipe called for the ratio of sugar to flour to be 7 : 3. If you used 63 ounce of sugar, how many ounces of flour would you need to use?
Answer:
Write an equation for each using the variables provided.
For each pound there are 16 ounces.
Write an equation to express the total number of ounces (Z) in (Y) pounds.
Equation:
Every dollar is 4 quarters.
Write an equation to express the total number of quarters (Q) in dollars (D).
Equation:
Word Problems. You must show your work and answer to get full credit.
Henry and Grace had the same amount of money. After Henry spent $28 and Grace spent $16, the ratio of the amount of money Henry had to the amount of money Grace had was 2 : 5. How much money did each of them have at first?
You may create a tape diagram to help you.
(copy & paste)
Henry:
Grace:
Three clerks can type six documents in 12 days. At this rate, how long will it take for two clerks to type three such documents?
Answers
The classroom had 25 glue sticks. If the ratio of glue sticks to glue bottles was 5 : 2, how many glue bottles did the classroom have?
5 sticks / 2 bottles
25 sticks / x bottles
10 bottles
Answer: 10 bottles
A student finished 8 of her homework problems in class. If the ratio of problems she finished to problems she still had left was 4 : 1, how many homework problems did she have total?
8 finished
4 finished / 1 left
8 finished / 2 left
10 total
Answer: 10 total problems
A recipe called for the ratio of sugar to flour to be 7 : 3. If you used 63 ounce of sugar, how many ounces of flour would you need to use?
7 sugar / 3 flour
63 oz sugar / x oz flour
27 oz flour
Answer: 27 oz flour
Write an equation for each using the variables provided.
For each pound there are 16 ounces.
Write an equation to express the total number of ounces (Z) in (Y) pounds.
1 lb / 16 oz
Z = 16Y
Equation: Z = 16Y
Every dollar is 4 quarters.
Write an equation to express the total number of quarters (Q) in dollars (D).
1 dollar = 4 q
Q = 4D
Equation: Q = 4D
Word Problems. You must show your work and answer to get full credit.
Henry and Grace had the same amount of money. After Henry spent $28 and Grace spent $16, the ratio of the amount of money Henry had to the amount of money Grace had was 2 : 5. How much money did each of them have at first?
You may create a tape diagram to help you.
(copy & paste)
( H - 28 ) / ( G - 16 ) = 2 / 5
H - 28 = 2
H = 30
G - 16 = 5
G = 21
Henry: 30
Grace: 21
Three clerks can type six documents in 12 days. At this rate, how long will it take for two clerks to type three such documents?
3 clerks take 12 days to write 6 docs
1 clerk takes 4 days to write 2 docs
2 clerks take 8 days to write 4 docs
8 : 4
3/4 * ( 8 ) : ( 4 ) * 3/4
6 : 3
6 days
Kelly buys four cardigans of the same price from a apparel store how much will she be billed if each Cardigin cost $79
Answers
Answer:
$316
Step-by-step explanation:
Since each cardigan costs $79 and there are 4 cardigans you would need to multyply 79×4. Which is $316. Kelly would be billed $316 for all four cardigans.
According to one source, the average cumulated college student loan debt for a graduating senior is $29,400. Assume that such debt is normally distributed and that the standard deviation is $5,684. Thirty percent of these graduating seniors owe more than what amount?
Answers
Answer:
$32378.416
Step-by-step explanation:
We are asked to find: Thirty percent of these graduating seniors owe more than what amount.
More than 30% = Finding the z score of the 70% percentile.
The z score = 0.524
Hence, using z score formula:
z = (x-μ)/σ
0.524 = x - $29,400/$5,684
0.524 × 5684 = x - 29400
2978.416 = x - 29400
x = 29400 + 2978.416
x = $32378.416
Therefore, Thirty percent of these graduating seniors owe more than what amount $32378.416.
Find the exact value of s in the given interval that has the given circular function value.
[pi/2, pi] ; sin s = square root 2 / 2
Answers
Answer:
[tex]\displaystyle s=\frac{3\pi}{4}[/tex]
Step-by-step explanation:
Trigonometric Values
We need to find the angle s in the interval [π/2,π] where:
[tex]\displaystyle \sin s=\frac{\sqrt{2}}{2}[/tex]
There are two possible angles that have the same sine value in the first rotation of s. Any angle on the first quadrant has the same sine as its supplementary angle in the second quadrant.
The first angle s whose sine is [tex]\frac{\sqrt{2}}{2}[/tex] is:
[tex]\displaystyle s=\frac{\pi }{4}[/tex]
The other angle is its supplementary angle:
[tex]\displaystyle s=\pi-\frac{\pi }{4}=\frac{3\pi}{4}[/tex]
Only this last angle lies on the required interval, thus:
[tex]\boxed{\displaystyle s=\frac{3\pi}{4}}[/tex]
Line M passes through points (4, 2) and (-7, 1) what is the slope of a line N that is parallel to line M
Answers
The solution is :
We conclude that the slope of line 'n' is: m₂ = 10
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Given
The slope of line m is: m₁ = 10
It is stated that another line is parallel to line m.
Let m₂ be the slope of the 'n' line.
We know that when two lines are parallel, they have equal slopes.
i.e. m₁ = m₂
as
The slope of line m is: m₁ = 10
and
The lines are parallel
so
The slope of line 'n' is: m₂ = 10
Therefore, we conclude that the slope of line 'n' is: m₂ = 10.
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complet question:
Line m has a slope of 10. Another line n is parallel to line m. What is the slope of line n ?
The surface area of a right square pyramid is given by A=b2+2bh where b is the length of a side of the base and h is the slant height.solve the formula for h if b=3
Answers
Answer:
[tex] h = \dfrac{A - 9}{6} [/tex]
Step-by-step explanation:
A=b^2+2bh
b = 3
A = 3^2 + 2(3)h
A = 9 + 6h
6h = A - 9
[tex] h = \dfrac{A - 9}{6} [/tex]
The required expression for the slant height is h = [A - 9] / 6 .
Given that,
The surface area of a right square pyramid is given by A=b2+2bh where b is the length of a side of the base and h is the slant height.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
A=b²+2bh
According to the condition,
put b = 3
A = 3² + 2 * 3 h
A = 9 + 6h
h = [A - 9] / 6
Thus, the required expression for the slant height is h = [A - 9] / 6 .
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Using the table, what is the average daily balance of the credit card for the August 1 - August 31 billing period? Round your answer to the nearest cent. Do not include a dollar sign or comma in your answer. For example, $5, 678.00 should be entered as 5678.00.
DAY| ACTIVITY| ADJUSTMENT| BALANCE
1. --- ---- 1500
4. payment. -400. 1100
14. payment. -250. 850
24. payment. -100. 750
Answers
Answer:
967.74
Step-by-step explanation:
The average daily balance of the credit card for the August 1 - August 31 billing period is $943.55.
What is the average daily balance?The average daily balance can be determined by dividing the total daily balaces for August by the number of days in August.
The average daily balance = total balance / total number of days in Augst.
Total balance = (1500 x 3 days) + (1100 x10 days) + (850 x 10 days) + (750 x 7 days)
Total balance = 4500 + 11,000 + 8,500 + 5,250 = 29,250
The average daily balance = 29250 / 31 = $943.55
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A veterinarian records whether he xlient owns a cat, a dog, neither , or both. If the client owns a dog whatis the probability the client owns a cat
Answers
Answer:
hola
Step-by-step explanation:
xddd
The probability that the client owns a cat is 16/35 if a veterinarian records whether the client owns a cat, a dog, neither, or both option (A) is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
The veterinarian records whether the client owns a cat, a dog, neither, or both.
From the table:
Client owns a dog = 35
Owns a cat = 16
Probability that client owns a cat = 16/35
Thus, the probability that the client owns a cat is 16/35 if a veterinarian records whether the client owns a cat, a dog, neither, or both option (A) is correct.
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Joey has 25 candy bars and is addin 2 candy bars to his collection each day. How many days will it take him to reach 51 candy bars?
(yes I'm really dumb and yes I have one minute to turn this in as a major grade :))
Answers
Answer:
13 days
Step-by-step explanation:
51-25=26
26/2=13
Which expression is equivalent to 32 ⋅ 3−5?
Answers
Answer:
91
Step-by-step explanation:
Using the PEMDAS method (parentheses exponenets multiplication division addition subtraction), we know that since 3-5 is not in parentheses, we have to multiply before we subtract. So first, we must multiply 32 x 3 to get a product of 96. Then we must subtract, 96 - 5 = 91. Therefore, your answer is 91.
Hope this helped! Good luck!
Will give BRAINLIEST!
Answers
Step-by-step explanation:
install microsoft math and do something like this...
Lisa solved 40 math fact problems in 2 1/2 minutes.
And then she solved 80 math fact problems in 5
minutes. Which best represents her unit rate?
Answers
Answer:
Her unit rate remained the same
Step-by-step explanation:
80 is twice as much as 40. 5 minutes is twice as long as 2 1/2 minutes. Her unit rate never changed.
Answer:
her unit rate remained the same
Step-by-step explanation:
f(x) = x2 - 4; f(-3)

Answers
Find y, Help and get brainlist.
Answers
Answer:
Step-by-step explanation:
Anyone go to k12 NCVA?
Answers
Answer:
Nope
Step-by-step explanation:
Answer:
yep
Step-by-step explanation:
whats the degree of the polynomial 5a-2b^2+1
Answers
Answer:
hope it helps..
Step-by-step explanation:
PLEASE THANK MY ANSWER
HELP ASAP Mr. Johnson's class is selling boxes of Washington apoles to raise monex
For a class trip. Every student was given 18 boxes to sell. Each box had 24
eppies. Al 12 students soid all of their boxes. How many apoies did Mic
Johnson's class sel all together?"
Answers
Answer:
5184 ??
Step-by-step explanation:
18 boxes times 24 in them
then times that by the students and you get that number +_+
Help whats the answer to this Help plz
Answers
Answer:
3/5
Step-by-step explanation:
when you multiply powers by a zero it = 0 so you would just end up with 3/5
Please only answer if you truly know I’m giving about 100 points for this that’s a hell of a lot of points for one question so answer right thank you!
Answers
step 1, move -5 on the left side to the right side and change the sign then add up with 55
step 2, multiply 20 by (10 - 13x) by the associative property
step 3, add the coefficient of the variable x on the left side and move 20 to the right side by changing its sign
step 4, move -34x to the left side by changing the sign then add up with -17x
step 5, to find the x value, move the x coefficient to the right side and divide it, you get the value
In the figure below, =m∠2=33 Find m∠1, m∠3, and m∠4. 20pts!!!
Answers
Answer: measurement 1, and 3 is 147. Measurement 4 is 33
the cell phone cost 271 monthly the water gas and electric cost 1270 what is the yearly total for the water gas and electricity
Answers
Answer:
Cell phone monthly 271 X 12 = 2,052
water and gas yearly 1270 + 2,052 =3,320
3,320 is you're answer.
Step-by-step explanation:
Please help me out thanks
Answers
On average, Starla drinks 5/6
of a 12 ounce glass of water in 1/3
of an hour.
How much water does she drink in an hour?
O 10 ounces
12 ounces
20 ounces
30 ounces
Answers
Multiply. 4 2/7 x 2 1/5
A) 8 2/35
B) 8 1/7
C) 9 1/7
D) 9 3/7
Answers
The answer is D :)
hope this helps! <3
Answer:
D) 9 3/7
Step-by-step explanation:
4 2/7 × 2 1/5
=30/7 × 11/5
= 30 × 11/7 × 5
=330/35
=330 ÷ 5/35 ÷ 5
=66/7 = 9 3/7
What is the value of 4x – 3y if x = 3 and y = 6?
Answers
Answer:
-6
Step-by-step explanation:
If x=3 and y=6, 4x-3y=-6 because 4x with x=3 makes the first number 12. 3y with y=6 makes the result 18, so now the equation is 12-18. 12-18=-6, so 4x-3y with x=3 and y=6 will equal -6.
Hopefully the answer and explanation helps!
Answer:
-6
Step-by-step explanation:
All you have to do is plug in the numbers. So it should look like 4(3) - 3(6). Now all you have to do is solve. 4 x 3 = 12. 3 x 6 = 18. Now subtract. 12 - 18 = -6
In basketball,
some baskets are worth three points. In
one game, the ratio of three-point baskets
made to three-point attempts for one team
was 3:4. If the team scored 27 points from
three-point baskets, how many three-point
attempts did the team have?
Answers
Answer: 20
Step-by-step explanation:
The ratio is 3/4, or 0.75. The team scores 3-pt. baskets on 75% of shots taken. 27 x .75 = 20.25 (round to 20)
A lil help please T.I.A
Answers
Answer:
A. x=32 and x=o
YOUR WELCOME
Answer: A. x = 32 and x = 0
Explanation: Solve using the quadratic formula
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