Answer:
c = -3x² + x + 17
Step-by-step explanation:
c = g - 4f
f = 2x² - 5
g = 5x² + x - 3
c = (5x² + x - 3) - 4(2x² - 5)
c = 5x² + x - 3 - 8x² + 20
c = -3x² + x + 17
The graph of a linear relationship passes
through (0, 2), (1,5), and (3, 11) but not
through (2, 7). Which of the following is
the equation for this linear relationship?
A y= 2x + 3 Cy=5x
B y = 3x + 2
Dy= 4x - 1
Answer:
The equation of the linear relationship is y = 3x + 2 ⇒ B
Step-by-step explanation:
To solve the question substitute the x in the equation by the x-coordinate of each point to find y, if y equals the y-coordinate of the point, then the point is on the graph of the equation
A.
∵ y = 2x + 3
→ Use the first point (0, 2)
∵ x = 0
→ Substitute x by 0 in the equation
∴ y = 2(0) + 3
∴ y = 0 + 3 = 3
∵ The y-coordinate is 2
∴ The point (0, 2) does not lie on the graph of the relationship
∴ The equation y = 2x + 3 doesn't represent the equation of the relationship
B.
∵ y = 3x + 2
→ Use the first point (0, 2)
∵ x = 0
→ Substitute x by 0 in the equation
∴ y = 3(0) + 2
∴ y = 0 + 2 = 2
∵ The y-coordinate is 2
∴ The point (0, 2) lies on the graph of the relationship
→ Use the second point (1, 5)
∵ x = 1
→ Substitute x by 1 in the equation
∴ y = 3(1) + 2
∴ y = 3 + 2 = 5
∵ The y-coordinate is 5
∴ The point (1, 5) lies on the graph of the relationship
→ Use the third point (3, 11)
∵ x = 3
→ Substitute x by 3 in the equation
∴ y = 3(3) + 2
∴ y = 9 + 2 = 11
∵ The y-coordinate is 11
∴ The point (3, 11) lies on the graph of the relationship
→ Use the fourth point (2, 7)
∵ x = 2
→ Substitute x by 2 in the equation
∴ y = 3(2) + 2
∴ y = 6 + 2 = 8
∵ The y-coordinate is 7
∴ The point (2, 7) doesn't lie on the graph of the relationship
∴ The equation of the linear relationship is y = 3x + 2
How many solutions does the following equation have?
5x + 4 = 3(2x - 5) - (x + 5)
One. Many. None
if A # B means the same thing as 2 A- B, then 1 # ( (2 # 3 ) # 4) equals:
By definition of #,
2 # 3 = 2•2 - 3 = 4 - 3 = 1
(2 # 3) # 4 = 1 # 4 = 2•1 - 4 = 2 - 4 = -2
1 # ((2 # 3) # 4) = 1 # (-2) = 2•1 - (-2) = 2 + 2 = 4
The 1 # ( (2 # 3 ) # 4) equals to 4.
Given that,
if A # B means the same thing as 2 A- B.Based on the above information, the calculation is as follows:
By definition of #,
= 2 # 3
= 2(2) - 3
= 4 - 3
= 1
Now
=(2 # 3) # 4
= 1 # 4
= 2(1) - 4
= 2 - 4
= -2
Now
=1 # ((2 # 3) # 4)
= 1 # (-2)
= 2(1) - (-2)
= 2 + 2
= 4
Learn more: brainly.com/question/16911495
At the school carnival, the soccer team sold hamburgers and hot dogs. A person buying one hamburger and one hot dog will spend $17.65. The soccer team sold 22 hamburgers and 39 hot dogs and made $511.55. How much does each item cost?
A. hamburger:$7.25, hot dog: $10.40
B. hamburger: $8.39, hot dog: $8.39
C. hamburger: $8.83, hot dog: $8.82
D. hamburger: $10.40, hot dog: $7.25
The cost of the hamburger and hot dog will be $10.4 and $7.25, respectively. Then the correct option is D.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
At the school carnival, the soccer team sold hamburgers and hot dogs. A person buying one hamburger and one hot dog will spend $17.65. The soccer team sold 22 hamburgers and 39 hot dogs and made $511.55.
Let x be the cost of hamburgers and y be the cost of hot dogs. Then the equation will be
x + y = 17.65 ...1
22x + 39y = 511.55 ...2
Solve the equations, then we have
22(17.65 - y) + 39y = 511.55
388.3 - 22y + 39y = 511.55
17y = 123.25
y = $7.25
Then the value of x will be
x + 7.25 = 17.65
x = 17.65 - 7.25
x = $10.40
The cost of the hamburger and hot dog will be $10.4 and $7.25, respectively. Then the correct option is D.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
Hi. Please help I have to pass this I don’t mind marking you brainlest
A water tank contains 19 gallons of water. Raymond begins to add water to the tank at a rate of 7 gallons per minute. Which equation can be used to find y, the gallons of water in the tank after x minutes?
A y = 19x + 7
B y = x + 26
C y = 7x + 19
D y = 19x + 7x
Answer:
C y = 7x +19
Step-by-step explanation:
There are 19 gallons in the water tank and 7 gallons are added when you take x amount of minutes, which gives you y.
An example is 1 minute.
Y = 7(1) + 19
y = 7 + 19
y = 26
You have to remember that there are 19 gallons already in the tank and that 1 minute has passed, which means 7 gallons have been added. Thus there are 26 gallons in the water tank.
Hope this helps. :)
Answer:
I think the answer is A hopefully this helps
maybe a few more lol
Answer:
Thanks, check out my music please. Its Colter Wall on yt
Step-by-step explanation:
Answer:
thx for the 50 points
Eight times a number increased by nine is the same as 15 more than 7 time the number.Find the numbers
Answer:
the number is 6
Step-by-step explanation:
8x+9=15+7x
8x-7x+9=15+7x-7x
x+9=15
x+9-9=15-9
x=6
Answer:
the answer is 6.
I found the answer by:
8x+9=15+7x
8x-7x+9=15+7x-7x
x+9=15
x+9-9=15-9
x=6
Hope this helps, have a blessed day/night, stay safe, happy holidays, and merry christmas!
Your cell phone provider charges a monthly fee of $19.50 for 200 minutes. You are also charged $.25 per minute for each minute over 200 minutes. Last month, your bill was $29.50. a. Let m represent the total number of minutes you used last month. Use the verbal model below to write an equation.
Answer:
T = $19.50 + $0.25(m - 200)
Step-by-step explanation:
Using the information provided we can create the following equation. This equation subtracts 200 from the total number of minutes and multiplies this by the cost per minute. Then it adds the fixed cost for the initial 200 minutes to get the total of the bill (T).
T = $19.50 + $0.25(m - 200)
Now that we have the equation we can plug-in you total for last month's bill and solve for m to calculate how many minutes you used last month.
$29.50 = $19.50 + $0.25(m - 200) ... distribute 0.25
$29.50 = $19.50 + $0.25m - 50 ... combine like terms
$29.50 = $0.25m - $30.5 ... add 30.5 on both sides
$60 = $0.25m ... divide both sides by 0.25
240 = m
Finally, we can see that you used a total of 240 minutes last month.
If it takes 9 3/4 yards of material to make curtains for 3 windows, how much material is needed
for 11 windows?
Answer:
You would need 35.75 or 35 3/4 yards of material
Step-by-step explanation:
You must take 9 3/4 and divide it by three so we can figure out exactly how much material is needed for just one curtain. We figure the number 3.25 or 3 1 /4. There are 11 windows total windows, and 3 1/4 per window; therefore, you must multiply the two to get your final answer which would of course be 35 and 3/4 yards of material.
I hope this helped!
Have a great day/night and good luck with your school endeavors! you're doing great!!
Ahmed is saving his money to buy a IPad that costs $319.50. Right now he has $21.95, and can save $63.00 each week. How many weeks will it take for Ahmed ro have enough momey to buy the Ipad? Answer Choices: A: 2 weeks, B: 3 weeks, C: 4 weeks or D: 5 weeks
Answer:
5
Step-by-step explanation:
If g(x) = 3(x − 2), find the value of x if g(x) = 6.
A. 12
B. 2.6
C. 8
D. 4
Solve the equation.
4(x – 6) = 16
A. 8
B. 10
C. –10
D. 12
Answer:
a.
Step-by-step explanation:
its 8 hope this helps!
Answer:
B (x=10)
Step-by-step explanation:
A) Distribute 4 to x and -6 (basically multiply 4 to x, then 4 to -6)
B) (Resulting equation): 4x-24=16
C) Add +24 to each side of the equation
D) (Resulting equation): 4x=40
E) Divide each side by 4 in order to isolate the x variable
F) (Resulting equation): x=10
What’s the answer help please?????
Answer:
midpoint formula is the answer
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
The value of x is 67
Step-by-step explanation:
If two adjacent angles formed a line, then they called a pair of linear anglesThe measure of the pair of linear angles is 180°In the given figure
∵ One side of the triangle is extended to form an exterior angle of 113°
∵ The angle of 113° and the angle of x° are adjacent angles
∵ They formed a line (the side is extended)
→ That means they formed a pair of linear angles
∴ The angle of 113° and the angle of x° formed a pair of linear angles
∵ The measure of the pair of linear angles = 180°
∴ 113° + x° = 180
→ Subtract 113 from both sides
∵ 113 - 113 + x = 180 - 113
∴ x = 67
∴ The value of x is 67
1) Your t-shirt provider sells you blank t-shirts for $5.00. What percent markup did you
company use? Explain how you determined this percent mark-up.
Answer: 5%
Step-by-step explanation:
yall please help mee!!im struggling and i need to turn this soon!
Answer:
his faucet will leak 6/4 cup of water every hour, its c, you are correct good job, good luck
Step-by-step explanation:
Since it leaks 3/4 cups every 1/2 hour, in a whole hour it will leak twice as much:
[tex]\dfrac{3}{4}\cdot 2=\dfrac{6}{4}[/tex]
Find the measure of the indicated angle. Round to the nearest tenth of a
degree.
16. IF X= 31, then what is the perimeter of triangle JMN?
Answer:
180
Step-by-step explanation:
To solve we must first plug 31 into each expression for x.
2(31)+5= 67
3(31)-9= 84
31-2= 29
Then, remember that the perimeter is the sum of all of the sides. So add all of the previous sums, 67+84+29. Therefore, the answer is 180.
Irene measured a shopping center and made a scale drawing. The scale she used was 2 inches : 1 foot. If a bakery in the shopping center is 104 inches in the drawing, how long is the actual bakery?
A. 52 ft
B. 208 ft
Answer: A
Step-by-step explanation:
If it’s 2:1
then its 104 divided by 2,
which is A
Help Please! Im taking a math exam today!
Answer:
12²
Step-by-step explanation:
12 is the base
2 is the exponent
12 squared or 12 times 12 equals 144
Answer:
144 can be divided by 12
so 12 *12 =144
therefore 144 can be written as [tex]12^{2}[/tex]
Step-by-step explanation:
Help !! I'm being tired will mark brainlest!!!
Answer:
I think it's associative property of multiplication.
Answer: a
it’s multiplication
NEED ANSWER ASAPPP PLEASE!!
Answer:
(-2, -12), (0, 2), (2, 16), (4, 30)
Step-by-step explanation:
Input: -2
y = 7x + 2
y = 7(-2) + 2
y = -14 + 2
y = -12 (Output)
Input: 0
y = 7x + 2
y = 7(0) + 2
y = 0 + 2
y = 2 (Output)
Input : 2
y = 7x + 2
y = 7(2) + 2
y = 14 + 2
y = 16 (Output)
Input: 4
y = 7x + 2
y = 7(4) + 2
y = 28 + 2
y = 30 (Output)
can I please get help
Answer: A. -0.25
Hope it helps :)
Step-by-step explanation:
So since 0.75 and -1.25 are in parenthesis, u have to multiply them.
-1 (0.75 - 1.25) = 0.5
-3/4 - 0.5 = -0.25
So the answer is -0.25
Salim walked113miles to school and then212miles to work after school. How far did he walk in all?
Solve for a: (a+4)/3 - a/7 = (a+7)/5
Answer:
a= -7
Step-by-step explanation:
I hope this helps! :)
What is the slope of the line passing through the point 2 comma negative 1 and the origin?
Answer:
- 1/2 or - 1.5
Step-by-step explanation:
I would suggest using a table
x y
2 -1
0 0
from -1 to 0, you add 1
from 2 to 0, u subtract 2
so y/x
1/-2
Your slope will be -1/2 or -1.5
Hope this helped!
Answer:
-1/2
Step-by-step explanation:
The length of a rectangle is 9cm more than four times the width. If the perimeter of the rectangle is 78 cm, what are its dimensions
Answer:
Length is 32. 6 cm and width is 5.9 cm
Step-by-step explanation:
width(w)=w
perimeter(p)=78 cm
length(L) = 4w+9
p=2L+2w
78=2(4w+9)+2w
78=8w + 19 + 2w
10w=59
w=5.9 cm
L=4w+9
L=4(5.9)+9
L=32.6 cm
Therefore length is 32.6 cm and width is 5.9 cm
A room is 12m 15m long and 8m 91 cm broad .The floor of the room is tobe paved with squared tiles find the lenght of the largest tile that can be used
Answer:
81 cm
Step-by-step explanation:
Length of a room = 12m 15cm
Width of a room = 8 m 91 cm
12 m 15 cm = 1200 cm + 15 cm = 1215 cm
8 m 91 cm = 800 cm + 91 cm = 891 cm
The floor of the room is tobe paved with squared tiles. We need to find the length of the largest tile that can be used.
To find it we can find the HCF of 1215 cm and 891 cm.
Prime factorization of 1215 = 3 x 3 x 3 x 3 x 3 x 5
Prime factorization of 891 = 3 x 3 x 3 x 3 x 11
HCF = 3 x 3 x 3 x 3
= 81
Hence, the length of the largest tile that can be used is 81 cm.
I need help with 3x-2y=24
Answer:
y= 3/2x -12
Step-by-step explanation:
subract x then u got -2y=-3x+24
divide everythang by -2
then u got y=3/2x -12
