A pair of linear equations is shown below: y = −3x + 5 y = x + 2 Which of the following statements best explains the steps to solve the pair of equations graphically? (4 points) On a graph, find the point of intersection of two lines, the first line has y-intercept = 5 and slope = −3, and the second line has y-intercept = 2 and slope = 1. On a graph, find the point of intersection of two lines, the first line has y-intercept = −3 and slope = 5, and the second line has y-intercept = 1 and slope = 2. On a graph, find the point of intersection of two lines, the first line has y-intercept = −5 and slope = 3, and the second line has y-intercept = −2 and slope = −1. On a graph, find the point of intersection of two lines, the first line has y-intercept = 3 and slope = −5, and the second line has y-intercept = −1 and slope = −2.
Answer:
On a graph, find the point of intersection of two lines; the first line has y-intercept = 5 and slope = −3, and the second line has y-intercept = 2 and slope = 1.
- sorry I answered late! but I just did the test and got a 100 :)
There were 20 questions on an exam. You answered 40% of them incorrectly. How many did you answer incorrectly?
Answer: 4
Step-by-step explanation: 20-10=10 which is %50. 20-16=4
Can someone pls help me
2 1/4 cups of pretzels
PLS HELP ME it's due today and I suck at math!!! I'll make Brainliest (also I know it's a bit hard to see)
Answer:
B. 8/10
Step-by-step explanation:
Answer:
The answer is D. 4/13
Step-by-step explanation:
Johnny left his house early in the morning for a run. he ran 2 miles north, 6 miles west, 3 miles north, 10 miles south, 8 miles east, and then 2 miles west. what distance did he run?
The total distance ran by Johnny after he left the house is D = 31 miles
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as D
Now , the value of D is
Substituting the values in the equation , we get
Let the total distance ran by Johnny be D = ran 2 miles north, 6 miles west, 3 miles north, 10 miles south, 8 miles east, and then 2 miles
So , D = 2 + 6 + 3 + 10 + 8 + 2
On simplifying the equation , we get
D = 31 miles
Hence , the distance is D = 31 miles
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find a number n when decreased by 9 equals 17
Answer:
26-9=17 26 is the answer
Step-by-step explanation:
Answer:
The number n is 26
Step-by-step explanation:
Decreased means subtract
n-9 = 17
Add 9 to each side
n-9+9 = 17+9
n = 26
The number n is 26
why doesn't my messages work?
Answer:
I was wondering the same thing. maybe it is specific for certain people.
Step-by-step explanation:
Answer:
i think you have to be a certain rank
Step-by-step explanation:
Find the slope and y-intercept of 5x – y = 7. Reduce all fractions.
slope = - Ô =
y-intercept =
B
Answer:
slope= ( 5,1 ) Y-intercept= ( 0,-7 )
Step-by-step explanation:
: How many 3/2's are in 5?
Answer:
3 1/3
Step-by-step explanation:
5/3/2 = 10/3 = 3 1/3
A train travel 20 miles in 15 minutes 40 miles in 30 minutes and 60 miles in 45 minutes which equation represents the speed of the train in miles per hour
Answer:
y = 80x
Step-by-step explanation:
In 30 minutes the train went 40 ml so in an hr the train would be at 80 ml
Is 15625/1000000 between -1 and 0??
Answer:
no
Step-by-step explanation:
It would be like 0.(something) meaning it would be more than 0
yo someone help me with my last question pls!!
Answer:
n7 is y
Step-by-step explanation:y
The lengths of the sides of a triangle are in the extended ratio 4 : 7 : 8. The perimeter of the triangle is 95 cm. What are the lengths of the sides?
Answer:
20 cm, 35 cm, 40 cm
Step-by-step explanation:
sum the parts of the ratio, 4 + 7 + 8 = 19 parts
Divide the perimeter by 19 to find the value of one part of the ratio.
95 cm ÷ 19 = 5 cm, then
4 parts = 4 × 5 cm = 20 cm
7 parts = 7 × 5 cm = 35 cm
8 parts = 8 × 5 cm = 40 cm
Thus the 3 sides are 20 cm, 35 cm and 40 cm
Answer:
The measure of the sides of a triangle will be:
4x = 4(5) = 20 cm
7x = 7(5) = 35 cm
8x = 8(5) = 40 cm
Step-by-step explanation:
Given that the lengths of the sides of a triangle are in the extended ratio 4 : 7 : 8.
Also given that the perimeter of the triangle is 95 cm.
We know that the Perimeter of a triangle is the sum of all the sides of a triangle.
As the lengths of the sides of a triangle are in the proportion 4 : 7 : 8. Thus, the measure of the sides will have the same scale factor x.
Therefore,
4x + 7x + 8x = 95
Add similar elements: 4x + 7x + 8x = 19x
19x = 95
Divide both sides by 19
19x/19 = 95/19
x = 5
Therefore, the measure of the sides of a triangle will be:
4x = 4(5) = 20 cm
7x = 7(5) = 35 cm
8x = 8(5) = 40 cm
Verification:
20 + 35 + 40 = 95
95 = 95
What will be the coordinates of Q?
A (-6, -5)
B (-5, -6)
C (5, 6)
D (6, 5)
Answer:
I Dont understand
Step-by-step explanation:
Find the distance between points (a, b) and (-a, -b).
Answer:
you have to show which points lol
solve for N
3(3n – 4) = -48
Answer:
n=-4
Step-by-step explanation:
3(3n-4)=-48
First use the distributic property and then add and divide from both sides of the equation.
9n-12=-489n=-36n=-41). Simplify: |8 – 3|
Answer:
the answer is 5, since both numbers are already positive.
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
the absolute value is 8-3 so just solve it normally
Find the gcf of 12,18 and 24( must be a factor of all numbers)
The ratio of boys to girls is 3 to 2. If there are 57 boys,how many girls are there ?
Answer:
There are 38 girls, 57;32
Step-by-step explanation:
57 divided by 3 is equal to 19
19 multiplied by 2 is equal to 38
Parallelogram PQRS has diagonals PR and SQ that intersect at T. Given SP=2a+5, RQ=5a−1, ST=3b−3, and SQ=7b−9, what are the values of RQ and TQ?
Answer:
RQ=2 TQ=6
Step-by-step explanation:
Answer:
RQ = 9 , TQ = 6
Step-by-step explanation:
What is the value of y in the solution to the following system of equations?
2x + y = -4
5x + 3y = -6
y= -32
Step-by-step explanation:
step 1: from the first equation you will make X the subject of formula, the equation then becomes;
X= 4-y
2
step 2: substitute X in the second equation, the equation then becomes 5 * [4-y] + 3y = -6
[ 2]
step 3: find the LCM and then cross multiply; 20-5y+6y = -6
2
20+y = -12
y= -12-20
y= -32
Calculate the slope of a line with a run of 3 and a rise of 9
Answer:
Multiply the slope by the run to calculate the rise between subsequent points. if you wanted to know the rise given a run of 3, multiply 10times 0.9 to calculate a rise of 9. Divide the rise by the slope to calculate the run.
if you dont mind, i just need to know what is the final answer in standard form of the equation. please!
Answer:
I'm pretty sure it's (x-1)*(5x+8)*(3x^4-2x^2+4x-8)
Step-by-step explanation:
Which shaded region is larger? Explain your reasoning..
Answer:
It's B because If you cover the blue you will see space that looks like a triangle. Do the same to A. You see how in B the Triangle looking thing is lower than A because A triangle thing is like more up and wider so it has space. Also B has a little space than A
Step-by-step explanation:
HELP ILL MARK YOU BRAINLIST write in y=mx+b form HELP ILL MARK YOU BRAINLIST write in y=mx+b form
A nutrition label shows that there are 75 milligrams of sodium in every 12 crackers. You eat 21 crackers. How much sodium do you consume?
The amount of sodium that you consume is 131.25mg.
Using this formula
Amount of sodium=(Milligrams of sodium/Number of crackers)×Number of cracker consumed
Where:
Milligrams of sodium=75 milligramsNumber of crackers=12 crackersNumber of cracker consumed=21 crackersLet plug in the formula
Amount of sodium=(75mg/12)×21
Amount of sodium=6.25mg×21
Amount of sodium=131.25 mg
Inconclusion the amount of sodium that you consume is 131.25mg.
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ASAP PLEASE!!!!!
Find the slope of a line that passes through (-2, -3) and (1, 1).
Answer:
[tex]m=\frac{4}{3}[/tex]
Step-by-step explanation:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Here
[tex](x_1, y_1)= (-2, -3)[/tex]
and
[tex](x_2, y_2)=(1, 1)[/tex]
[tex]m=\frac{1-(-3)}{1-(-2)}[/tex]
Colin buys a tv for £740. It depreciates at a rate of 4% per year. How much will it be worth in 5 years? Give your answer to the nearest penny where appropriate.
Given :
Colin buys a tv for £740. It depreciates at a rate of 4% per year.
To Find :
How much will it be worth in 5 years.
Solution :
Decrease in price in 1 year is :
[tex]P = P_o- P_o\times 0.04\\\\P = 0.96P_o[/tex]
So, decrease in price after x years is :
[tex]P = (0.96)^x P_o[/tex]
Putting value of x and [tex]P_o[/tex] in above equation, we get :
[tex]P = 0.96^5\times 740\\\\P = \£\ 603.38[/tex]
Therefore, the worth of T.V after 5 years is £603.38 .
A gardening company sells clay flower pots and plastic flower pots. There must be at least 2 pots in each shipment, but there cannot be more than 8 in a shipment. Additionally, the shipment must weigh less than 100 lbs. Each shipment container weighs 20 lbs., and there is 1 lb. of packing material. A clay flower pot weighs 15 lbs., whereas a plastic flower pot weighs 7.5 lbs.
(A) Write a system of inequalities that represent the constraints on the number of pots that can be included in one shipment.
The system of inequalities can be obtained from the given information
on the allowable weights and number of pots.
The correct responses:
The system of inequalities that represent the constraint on the number
of pots that can be included in one shipment are;
2 ≤ x + y ≤ 815·x + 7.5·y ≤ 79 lbs.Methods used to find the system of inequalitiesThe inequality that represents the number total number of clay, T, in each shipment is 2 ≤ T ≤ 8
The inequality that represents weight of each shipment is w < 100 lbs
The weight of each shipment container = 20 lbs
The weight of the packing material = 1 lb
Therefore;
The maximum weight of the flower pots = 100 lbs - 21 lbs = 79 lbsThe weight of each clay flower pot = 15 lbs
The weight of each plastic flower pot = 7.5 lbs
Let "x" represent the number of clay flower pot included in one shipment
and let "y" represent the number of plastic flower pot included in one
shipment, we have;
The system of inequalities that represent the constraint on the number of pots that can be included in one shipment are as follows;
2 ≤ x + y ≤ 815·x + 7.5·y ≤ 79 lbs.Learn more about inequalities here:
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We will find the system of inequalities:
C*15 lb + P*7.5lb < 79 lb
2 ≤ P + C ≤ 8
How to write a system of inequalities?
First, we need to define the variables that we will be using, these are:
C = number of clay pots.P = number of plastic pots.From the first restriction, we have that:
2 ≤ P + C ≤ 8
The other restriction says that the weight must be less than 100lbs:
W < 100lbs
Where the weight is:
W = C*15 lb + P*7.5lb + 20lb + 1lb
Where 20lb is the weight of the container and 1lb is the weight of the packing material, then we have:
C*15 lb + P*7.5lb + 20lb + 1lb < 100lb
We can subtract 21 lb in both sides to get:
C*15 lb + P*7.5lb < 100 lb - 21 lb
C*15 lb + P*7.5lb < 79 lb
So we got our two inequalities, then the system is:
C*15 lb + P*7.5lb < 79 lb
2 ≤ P + C ≤ 8
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what is the answer to 5(2x-4)
Answer:
-10x
Step-by-step explanation:
Answer:
6x
Step-by-step explanation: