The tables of ordered pairs represent some points on the graphs of two lines. What is the solution to the system of equations represented by the two lines?
Answers
Answer:
(-9, 5)
Step-by-step explanation:
1. Find the equations of both lines (y = mx +b).
For the table on the left, we can see that the y-intercept is 23 (at x=0, y=23). Hence, b = 23. We can also see that the y-value for the left table increases by increments of 2, meaning that the slope (m) will be 2. Thus:
f1(x) = 2x + 23
For the right table, do the same thing. The table tells us that when x = 0, y = -58 (so b = -58). We also see that the y-value DECREASES in increments of 7, meaning that the slope, m = -7. Thus,
f2(x) = -7x - 58
2. Set the equations equal to each other to find the x-value at which the two equations will intersect.
2x + 23 = -7x - 58
9x = -81
x = -9
3. Plug your newfound x-value into any of the two equations to find the y-value at which both equations will intersect.
y = 2x + 23
y = 2(-9) + 23
y = 5
OR
y = -7x - 58
y = -7(-9) - 58
y = 5
ANSWER: At the point (-9, 5), the two lines intersect. Hence, the solution to the equation is (-9, 5).
Answer:
x = -9 and y =. 5
Step-by-step explanation:
(-2, 19) and (-1, 21)
Slope: (21-19)/(-1- -2) = 2
y-intercept = 21 - (2)(-1) = 23
a) y =2x + 23
(-2,-44) and (-1,-51)
Slope: (-51- - 44)/(-1- -2) = -7/1 = -7
y-intercept: -44-(-7)(-2)=-58
b) y = -7x - 58
Substitute y in equation a.
-7x-58 = 2x + 23
-9x = 81
x = -9
Substitute X by -9 in equation b: y = -7(-9) - 58= 5
y = 5
Related Questions
help me please!!!!!! 20 points!
Answers
Answer:
Step-by-step explanation:
2x = x + 40
2x - x = x - x + 40
x = 40
∠I = ∠Q = 33°
∠H = ∠P = 80°
∠J = ∠R = 67°
Choose the steeper line.
y=-6x+1
or
y=-3x-2
Answers
Answer: y=-3x-2
Step-by-step explanation:
Slope is rise over run. The slope of y=-3x-2 is -3, which is 1 down/up and 3 to the right/left. The slope of y=-6x+1 is -6 which is 1 down/ up and 6 to the right/left. When the graph is going 3 steps to the right/left, it is steeper than when its going 6 steps to the right/left.
Help plzzz I am not good at this!!!
Answers
Answer:
-5 (5 red chips)10 (10 yellow chips)-8 (8 red chips)Step-by-step explanation:
To complete the 1st model you have to put 5 red chips
To complete the 2nd model you have to put 10 yellow chips
To complete the 3rd model you have to put 8 red chips
But to understand why we are putting a certain number of yellow or red chips
we have to understand the zero pairs method meaning one positive and one negative zero out each other
Members of a soccer team raised $1428 to go to a tournament. They rented a bus for $955.50 and budgeted $31.50 per player for meals. Write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament.
Answers
Answer:
16 players can be brought to the tournament. The equation is written within my step-by-step explanation.
Step-by-step explanation:
Variable p = number of players
Set up an equation:
974.50 + 60.75p = 1946.50
Isolate variable p:
60.75p = 972
Divide:
p = 16
Check your work:
974.50 + 60.75(16) = 1946.50
974.50 + 972 = 1946.50
1946.50 = 1946.50
A company is considering purchasing the mineral rights to two different mountains. The probability that it will purchase the mineral rights to the first mountain is 0.55. The probability that it will purchase the mineral rights to the second mountain is 0.4. Assuming the decisions to purchase the mineral rights to each mountain are made independently, what is the probability that it will purchase the mineral rights to exactly one of the two mountains?
a. 0.4
b. 0.45
c. 0.51
d. 0.49
Answers
Using probability of independent events, it is found that the probability that it will purchase the mineral rights to exactly one of the two mountains is given by:
c. 0.51
If two events, A and B, are independent, the probability of both happening is the multiplication of the probability of each happening, that is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
In this problem, these following two events result in the rights of exactly one of the two mountains being bought:
First bought(0.55 probability), second not(0.6 probability).First not bought(0.45 probability), second bought(0.4 probability).Hence:
[tex]p = 0.55(0.6) + 0.45(0.4) = 0.51[/tex]
Thus, option c is correct.
A similar problem is given at https://brainly.com/question/24174994
Need some help for Exponents.
1) Five squared
2) Eight to the 5th power
3) Nine cubed
4) 2 x 2 x 2 x 2
5) 7 x 7 x 7 x 7 x 7 x 7
6) 2.3 x 2.3
Find the value of each of the following:
7) 54
8) 132
9) (1.2)2
10) 180
11) 10002
12) 72 x 70
Critical Thinking Applications
13) Mali bought a new car. She drove 63 miles the first month and 64 miles the second month. How much further did she drive the second month? Explain each step.
14) Create an application problem similar to the one above. Solve your problem. Explain each step.
15) In your own words, write three or four sentences explaining what exponents are and how they are used in math.
16) Create and solve 5 problems using exponents.
Answers
Answer:
1) 25
2) 32,768
3) 729
4) 16 or 2^4
5) 117,649 or 7^6
6) 5.29 or 2.3^2
Not sure what 7-12 mean
13) 1 mile 64-63=1
14) Mali bought a new car. She drove 63 miles the first month and 100 the second month. How much further did she drive the second month? Explain each step. 37 miles 100-63=37
15) An exponet is a number raised to a power, which means that number times itself that many times. It is used because it's alot easier to go 7^6 than 7x7x7x7x7x7.
16) 8^5= 32,768 6^6= 46,656 5^7= 78,125 5^5= 3,125 4^10= 1,048,576
Step-by-step explanation:
a square lot has a side of 8 5/8 meters,what is the area of the lot?
Answers
What is the value of the expression
4(2+y)
2y-z when x=2 and y=4
A.4
B.8/3
C.12/5
Answers
4(2+y)2y-z when x=2 and y=4
4(2+4)2×4-z
4(6)(8-z)
(4×6)(-8z)
24-8z
z=24÷8
8/3
Therefore 8/3 is last answer .
The value of the expression [4(2 + y)] / (2y - x) at x = 2 and y = 4 will be 4. Then the correct option is A.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ [4(2 + y)] / (2y - x)
The value of the expression at x = 2 and y = 4 will be given as,
⇒ [4(2 + 4)] / [2(4) - 2]
Simplify the equation, then we have
⇒ (4 × 6) / (8 - 2)
⇒ 24 / 6
⇒ 4
The value of the expression [4(2 + y)] / (2y - x) at x = 2 and y = 4 will be 4. Then the correct option is A.
More about the value of the expression link is given below.
https://brainly.com/question/23671908
#SPJ2
Rusty's hair grows at the rate of 1 inch per month.
4
How many months will it take Rusty's hair to grow 5 inch?
5
8
Explain your answer using words, and show your work using division of fractions.
Answers
Answer:=> 10 months
Given :
Step-by-step explanation:
Given :
1 / 4 inches = 1 month
Find :
5 / 8 inches = ? months
According to the question :
1 month = 1 / 4 inches
5 / 8 inches = ' x ' months
=> ( 5 / 8 ) / ( 1 / 4 ) = x
=> ( 5 / 8 ) × ( 4 / 1 ) = x
=> ( 5 × 2 ) / 1 = x
=> 10 / 1 = x
=> x = 10.
So, it takes 10 months.
Answer:
it would be 5 months for his hair to grow 5 inches.
Step-by-step explanation:
well, if his hair grows 1 inch per month, and it take 5 months for his hair to grow.
so multiple 1 times 5 and you get you answer
quellle expression algébrique représente l'aire totale d'un cude dont chauqe coter messure 1,5x
Answers
Answer:
sorry bro I don't understand your language
What’s the slope or fraction?
Answers
You can draw a triangle from (6,10) and (0,8), then count from vertical to horizontal: 2 triangles/6 triangles
The slope is 2/6 or 1/3
You can also use slope formula
First find any two points on graph
(0,8) and (3,9)
Remember: (y2-y1)/(x2-x1) = slope
(9-8)/(3-0) = 1/3
The slope is 1/3
Find the value of x-5 when x= 15
Answers
Answer:
15 - 5 = 10 wow that was so hard
Answer:
the awnser is 10
Step-by-step explanation:
x=15 so
15-5=10
What list shows these in order from least to greatest?
Square W: A= √325 in.2
Square X: A= 3π/.5 in.2
Square Y: A= 5.5π in.2
Square Z: A= 17.92 in.2
1. Z, Y, W, X
2. X, W, Z, Y
3. Y, Z, W, X
4. W, X, Y, Z
Answers
Answer:
4 i am not sure for this answer guess
5(2x + 1) = 50
Help me plsss
Answers
Answer:
x=9
Step-by-step explanation:
shape it helps
byeeeeee
1 Analyze Alana used the table of values to find the slope of the graph for this function.
Analyze her work and explain why you do or don't agree with her.
x
х
N
4.
6
00
у
4.
5
6
7
m= 6-2 - or2
=
Answers
Step-by-step explanation:
From the table of values, it is clear that Alana chose the points (2,4) and (6,6). She also used this formula to find the slope:⤵⤵⤵
(sorry if it's a bit small btw)
[tex] \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]
She plugged in her values like so:
[tex] \frac{6 - 2}{6 - 4} [/tex]
But, right away we can tell that she put the values in the wrong places, because the y-values are supposed to be on top while the x-values are supposed to be on the bottom. Yet in this case, you can see that the 2 is an x-value, meaning she put it on the top, and thus the slope is wrong.
The correct way would be if she switched them around, where the y-values are on top and the x-values are on the bottom. With this in mind, the slope would actually be 2/4 which if you simplify it, it would be 1/2.
This is essentially your answer, feel free to use some of my words, if need.
Hope this helps :)
Which term of the arithmetic sequence 1, 5, 9, 13, ... is 169?
It is the
th term.
Answers
Answer:
43rd term
Step-by-step explanation:
Arithmetic sequences are basically linear functions, so the same value is added every time. So, knowing that Asub1 is equal to one, and Asubn is equal to 169 we can take 169-1 and divide by our common difference. This is four as 5-1=4 and 9-5=4.
So, (169-1)/4=42.
This is however 42 terms after Asub1, so this would be the 43rd teen of the sequence!
The length, breadth and height of a cuboid are in the ratio 6:3:5. If the total surface area is 504cm2, calculate area of 4 walls
please answer quick (i will mark as brainliest)
thank u
Answers
Step-by-step explanation:
metallic when has is equipment death of amiloride open interval a b payment to see payment payment details
the diagonal of a cube is root 12. What is the edge?
Answers
Step-by-step explanation:
Given length of diagonal of a cube = √12 cm Recall that length of diagonal of a cube = √3 × Length of edge of the cube ⇒ √12 = √3 × Length of edge of the cube ∴ Length of edge of the cube = √12 / √3 = 2√3 / √3 = 2 Thus the edge of the given cube is 2 cm
easy one - giving brainly if correct - show work.
my teacher said this was wrong so what's the correct answer? answer both!
Answers
Answer:
a = 9.6 b = 11.2
Step-by-step explanation:
10 percent of 8 is .8
8 + (8 x .1) = 8.8
8.8 + .8 = 9.6
She will be paid 9.6 dollars after 1 full year of working, because working for one year is 12 months, and thats 10 percent of 8 twice. You can also put that as 20 percent of 8, aka 1.6
When you do 8+1.6 it equals 9.6
For the second part, that is 24 months, so 10 percent of 8 4 times. .8+.8+.8+.8 = 3.2
8+3.2 = 11.2
She will be paid 11.2 dollars after 2 full years of working.
Your answer isnt wrong, I dont know why your teacher is saying it is.
C D
U
Refer to the Venn diagram for the following questions.
9
What would best describe the universal set U?
A
B
6
6
3
What would best describe set A?
5
07
2
00
8
What would best describe Au B?
7
4
What would best describe An B?
Intro
<
Done
Answers
Answer:
What would best describe the universal set U?
positive integers less than 10
What would best describe set A?
prime numbers in U
What would best describe A ∪ B?
numbers in U that are prime or even
What would best describe A ⋂ B?
even prime numbers in U
Hope it helps!
The universal set is the set of all natural numbers less than or equal to 9
The description of the universal set UThe sets are given as:
A = {2, 3, 7, 5}
B = {2, 6, 8, 4}
Number 1 and 9 are outside the circles.
The universal set is the collection of all elements in the set.
i.e.
U = {1,2,3,4......9}
Hence, the universal set is the set of all natural numbers less than or equal to 9
The description of set AWe have:
A = {2, 3, 7, 5}
The elements of set A are prime numbers between 2 and 7 (inclusive)
Hence, the set A is the set of all prime numbers from 2 to 7
The description of set A u BWe have:
A = {2, 3, 7, 5}
B = {2, 6, 8, 4}
The elements of set A u B is all elements in both sets.
So, we have:
A u B = {2,3,4,5,6,7,8}
Hence, the set A u B is the set of all natural numbers from 2 to 8
The description of set A n BWe have:
A = {2, 3, 7, 5}
B = {2, 6, 8, 4}
The elements of set A n B is the common elements in both sets.
So, we have:
A n B = {2}
Hence, the set A n B is 2
Read more about Venn diagrams at:
https://brainly.com/question/4910584
On the first day, a shoe shop sold 40 pairs of shoes and every day after it sold 20 more pairs of shoes.
Write an equation in slope-intercept form that describes the number of shoes sold.
Answers
Answer:
Step-by-step explanation:
A computer virus infects files very quickly. The number of files triples every minute. After the first minute, five files are infected. (pls answer)
Options in the pic
Answers
Answer:
C
Step-by-step explanation:
The answer is C because r =3 I got that because it says triples. a=5 it comes from when it says five files are infected. an=3an-1. an=5(3)n-1. Hope this helps!
Solve for f.
1≤2–f
89 points pls help
Answers
Answer:
f ≤ 1
Step-by-step explanation:
1) Subtract 2 from both sides.
1 - 2 ≤ - f
2) Simplify 1 - 2 to - 1.
- 1 ≤ - f
3) Multiply both sides by - 1.
1 ≥ f
4) Switch Sides.
f ≤ 1
[tex]\\ \sf\longmapsto 1\leqslant 2-f[/tex]
Take 2 to right[tex]\\ \sf\longmapsto 1-2\leqslant -f[/tex]
[tex]\\ \sf\longmapsto -1\leqslant -f[/tex]
Multiply -1 on both sides
[tex]\\ \sf\longmapsto f\leqslant 1[/tex]
Tim bought 3.6 pounds of flour for a cake and paid $8.50. What was the cost per pound?
Answers
Answer:
$2.36
Step-by-step explanation:
To find the price per pound is super easy. Just divide the price by the given pounds:
8.50/3.6=2.361=$2.36
Hope This Helps!
please someone help me answer this question. file is attached.
Answers
Answer:
ok so im pretty sure it is 6 pans with 2 cups left over
Step-by-step explanation:
so 2 1/2 times 6 is 15 since we cant get it exactly, so you use 6 which is 15 and you figure out what was leftover which is 2
How did the Twenty-fourth Amendment to the Constitution affect African Americans?
A. By defining citizenship, it meant all African Americans were entitled to due process.
B. By allowing citizens to directly elect senators, it gave African Americans a greater voice in the government.
C. By banning slavery, it meant millions of African Americans were free from bondage.
D. By eliminating poll taxes, it meant more African Americans could vote.
Answers
Answer:
The answer is D,..................
Step-by-step explanation:
D
(6,1),(7,2),(8,3) what is the range
Answers
Answer:
the range is 1, 2, 3
Step-by-step explanation:
What times -1/2 x what = -20?
Answers
Answer:
40
Step-by-step explanation:
Let the number be y
-1/2 × y = -20
y = -20 ÷ -1/2
y = 20 × 2
y = 40
Can someone please help will mark brainliest.
Answers
Answer:
3 square miles
Step-by-step explanation:
what i can do what can i do
Answers
Answer:
thanks for the points have a nice day