Given 2 points find the slope using the slope formula. Show all work.
12-Y
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Mark works at a rock concert selling programs. He is paid $15 for
the night plus 20¢ for each program that he sells. He sells 150
programs. How much does he earn working at the rock concert?
Answer:
$45
Step-by-step explanation:
15 + (150 * 0.20)
15 + 30
$45
Beyonce is solving a system of equations: 2x – 3y = -2
4x + y = 24
She decides to use the elimination method to find the solution. She multiplies the second equation by 3 and adds it to the first equation to find 14x = 70, showing her that x = 5. Beyonce finds that y = 4.
Step 3: 4x + y = 24
4(5) + y = 24
20 + y = 24
-20 -20
y = 4
Step 1: 3(4x + y = 24) → 12x + 3y = 72
Step 2: 2x – 3y = -2
Solution: (5, 4)
+ 12x + 3y = 72
14x = 70
→ x = 5
Thinking about this process, Beyonce says out loud, “There are lots of ways I could go about solving this problem. I could do the method above or I could multiply the first equation by -2 and add the second.
Step 3: 4x + y = 24
4x + 4 = 24
-4 -4
4x = 20
x = 5
Step 1: -2(2x – 3y = -2) → -4x + 6y = 4
Solution: (5, 4)
Step 2: -4x + 6y = 4
+ 4x + y = 24
7y= 28
→ y = 4
“I seem to find that there is only one solution to the two equations, but I wonder if I will get the same solution if I use a different method?”
Explain how you know that a system of equations has no solution.
Answer:
Step-by-step explanation:
A system of equations has no solutions if you end up with a contradiction. For example, the system of two equations
y = 2x + 4
y = 2x
If you subtract the second equation from the first, you get
0 = 4
an obvious contradiction. If you were to graph the equations, you would see that the lines are parallel. They never intersect, so there is no point that satisfies both equations.
A polynomial equation with rational coefficients has roots +5 plus 12 i and −−negative 9 minus 7 i. List two more roots of the equation.
Answer:
The additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]
Step-by-step explanation:
Given
Roots: [tex]5 + 12i[/tex] and [tex]-9 -7i[/tex]
Required
Determine two additional roots
For a polynomial with two rational roots, the additional roots are the conjugates of the roots.
Take for instance, the following expression:
[tex]a + \sqrt b[/tex]
The conjugate of [tex]a + \sqrt b[/tex] is: [tex]a - \sqrt b[/tex].
Having established how to determine the additional roots, we proceed to determine the roots.
The conjugate of [tex]5 + 12i[/tex] is [tex]5 - 12i[/tex] and the conjugate of [tex]-9 -7i[/tex] is [tex]-9 + 7i[/tex]
Hence, the additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]
What is the equation of the linear function represented by the table?
y=-X+9
y=-x+ 13
Y = X+ 13
Y = X+9
Answer:
Step-by-step explanation:
I am sorry but please give detailed question where is the table
Which of the following statements are true of the graphed system of equations? Check all that apply.
The system has infinitely many solutions.
A solution to the system is (–1, –2).
A solution to the system is (0, –1).
One of the equations is y = x –1.
One of the equations is 3x + y = –5.
Answer:
A solution to the system is (–1, –2).
One of the equations is y = x –1.
One of the equations is 3x + y = –5.
Step-by-step explanation:
A solution to the system is (–1, –2).
One of the equations is y = x –1.
One of the equations is 3x + y = –5.
What is system of equations?A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
According to the question,
1. The system contains infinitely many solutions.
This stands wrong because according to the graph, there exists only one solution- where the lines intersect.
This would only be correct if the lines never intersect.
2. A solution to the system exists (-1, -2).
This exists true because this stands as the only point where the lines intersect.
3. A solution to the system exists (0, -1).
This is correct because the y-intercept for the red line stands at -1 and the slope of the equation is 1.
4. One of the equations exists 3x+y = -5.
If you put this into slope-intercept form, you will discover that the equation exists y =-3x -5.
This stands correct because the y-intercept of this stands -5 and the slope of this stands -3.
To know more about system of equations refer to :
https://brainly.com/question/7808225
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please help me on this !!! :))) ill give brainiest
for each ordered pair, determine wether it is a solution to 7x - 2y = 13
please help me !!
Answer:
no
no
yes
yes
Step-by-step explanation:
To solve this you would just plug in the numbers
The first one:
7(-5)-2(0)=13
-35=13
therefore the answer is no
Do the same with all the others
Answer:
The first two are No and the last two are Yes.
Step-by-step explanation:
The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -3 ≤ x ≤ 6
Answer:
Average ROC = 0
Step-by-step explanation:
Average ROC : (f(b) - f(a)) / (b - a) ... slope = (y'-y) / (x'-x)
a = -3 f(a) = 10 ... x=-3, y=10
b = 6 f(b) = 10 ... x'=6, y'=10
Average ROC = (10 - 10) / (6 - -3) = 0 / 9 = 0
Label ABC with the following information.
BC = 61
m/A = 31°
Find AC.
How does rewriting the mixed numbers as whole numbers and fractions make it easier to multiply?
Answer:
A
Step-by-step explanation:
LeBron bought a 8-pack of Powerade for $7.68. What is the unit rate for one bottle of Powerade?
Which shows a correct procedure to simplify 3V8?
Answer:
2√2
Step-by-step explanation:
If you mean 3√8, this is how you would simplify:
Know that √8=√(4*2)
Thus, √(4*2)=(√4)*(√2)=2√2
So 3√8 simplified is 2√2
3/4 n = 12 what is the answer
Answer:
N = 16
Step-by-step explanation:
16 x 3/4 = 48/4 = 12
Pls help branliest 100 points if right question on the photo
Answer:
You can solve question 9 and 10 the same way I did. Hope this helps, thank you !!
Answer:
You can solve question 9 and 10 the same way I did. Hope this helps, thank you !!
THANKS
0
A tree is growing at a constant rate. It is recorded that at the 7th year since it was planted it was at a height of 25 feet. It was recorded again at the 10th year since it was planted and it was at a height of 31 feet. How much does the tree grow every year?
9514 1404 393
Answer:
2 feet per year
Step-by-step explanation:
In the 3 years between the 7th and 10th, the tree grew 6 feet from 25 ft to 31 ft. The rate of growth is ...
(6 ft)/(3 yr) = (6/3) ft/yr = 2 ft/yr
questions in this section.
1. State whether each of the following statements is TRUE or FALSE on the line provided
a.
All whole numbers are integers.
b. The number 2 is the only prime number that is an even number.
C.
An odd number can be a prime number.
d. The number 1.5 is an integer.
e. Zero is NOT a natural number.
Answer:
a true
b true
c true
d false
e true
HELP MEEEEEEEEEEE PLZZZZZ ITS CAMBRIDGE PAPER ill give BRANILIEST PLZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
a) 22 minutes
b) 9 minutes
c) 27 minutes
Step-by-step explanation:
a) Grace arrives at Stavely station at 14:30 and she wants to go to Kendal. The next train to Kendal is at 14:52 which is 22 minutes later.
52 - 30 = 22
Grace will have to wait 22 minutes for the train.
b) Since Grace is departing from the station at 14:52 the next train that reaches the station she's heading to is at 15:01.
The journey will take 9 minutes from Stavely to Kendal.
c) Sam left Windermere at 14:17 so he reaches Kendal at 14:34 and since Grace will reach at 15:01. Sam will have to wait 27 minutes until Grace arrives.
Calculations:
60 - 34 = 26
26 + 1 = 27
Sam will have to wait 27 minutes until Grace arrives.
A painter is painting a rectangular wall that measures 23.6 ft by 19.2 ft. Each gallon can of paint covers 200 square feet. What are the fewest gallons needed to paint the wall?
Answer:
3 gallons
Step-by-step explanation:
Length of the rectangular wall = 23.6 feet
Width of the rectangular wall = 19.2 feet
Surface area of the wall = 23.6 × 19.2
= 453.12 square feet
∵ 200 square feet of the wall is covered by the amount of paint = 1 gallon
∴ 1 square feet of the wall will be covered by the amount of paint = [tex]\frac{1}{200}[/tex] gallons
∴ 453.12 square feet will require the amount of paint = [tex]\frac{453.12}{200}[/tex]
= 2.2656 gallons
Therefore, minimum 3 gallons will be required to paint the wall.
For what value of 'k will (x - 1) be a factor of 4x^3 +kx^2 - 7x - 10?
Answer:
k = 13
Step-by-step explanation:
If (x-1) is a factor, then f(1) = 0
4*1 + k*1 - 7*1 - 10 = 0
4 + k - 7 - 10 = 0
k - 13 = 0
k = 13
a teacher wishes to keep the students books in the cardboard which is 69.9cm long,24cm wide and 36.01cm high estimate how many exercise books he can put if each exercise book is 22cm long 19.5cm wide and 0.9cm thick
Answer:
156
Step-by-step explanation:
We are given that
Length of cardboard, l=69.9 cm
Width of cardboard, b=24 cm
Height of cardboard, h=36.01 cm
Length of book, l=22 cm
Width of book, b=19.5 cm
Thickness of book, h=0.9 cm
Volume of cuboid=lbh
Using the formula
Volume of cardboard=[tex]69.9\times 24\times 36.01 cm^3[/tex]
Volume of one book=[tex]22\times 19.5\times 0.9 cm^3[/tex]
Number pf exercise book=[tex]\frac{volume\;of\;cardboard}{volume\;of;one\;book}[/tex]
Number of exercise book=[tex]\frac{69.9\times 24\times 36.01}{22\times 19.5\times 0.9}[/tex]
Number of exercise book=156
of the pupils in Year 9 say their favourite colour is red. .
There are 80 pupils in Year 9.
How many students said red is their favourite colour?
what is this property 25x0=0
Answer:
zero property
Step-by-step explanation:
if it equals zero its zero property
PLEASE HELP ASAPP!!!!! NO JOKES ONLY SERIOUS ANSWERS
11. Quadrilateral EFGH has vertices E(1, - 1) , F(3, - 5), (7, - 5) , and H(6,-1).C Graph the figure and its rotated image after a counterclockwise rotation of 90° about the origin . Then give the coordinates of the vertices for quadrilateral E'F'G'H '.
PLS ANSWER
Which pair of ratios does not form a true proportion?
A. 8 : 14 and 20 : 35
B. 6 to 10 and 15 to 25
C. 9 to 4 and 36 to 16
D. 12 : 15 and 30 : 40
Answer:The answer is 14 and 20:35
Step-by-step explanation:
Connie Hargrave's tree fell in the last storm and damaged the car of
neighbor, Andy Collin. Connie did not have insurance that covered this type of accident and has not paid Andy for the damage. Andy decides to sue Connie in court. Which type of lawsuit will this be?
A. civil
B. military
C. criminal
D. constitutional
A container can hold 25 pounds of beans. Right now there are 12.5 pound of beans. What is the percentage of beans in the container?
Answer:
Step-by-step explanation:
if the container holds 25 lBS, that represents 100%
if there are 12.5 lbs now in the container, that represents 50%
Determine the number of solutions given the graph.
Answer:
infinite solutions.......
any smart people want to help me
Answer:
$217.50
Step-by-step explanation:
$135 + (11*$7.50) = $217.50
Answer:
B
Step-by-step explanation:
26 students = 15 students + 11 students
135 for 1st 15, 7.50 for rest
135 + 7.50(11) = 217.50
Therefore, B
pls i need help with this equation good points, will mark. brainliest
Answer:
120 tiles 50 + 30 + 40 = 120 tiles
Step-by-step explanation:
Count the tiles
Hope this helped