John and 2 friends are going out for pizza for lunch. They split one pizza and 3 large drinks. The pizza cost $14.00. After using a $7.00 gift certificate, they spend a total of $12.10. Write an equation to model this situation, and find the cost of one large drink.A. 3d + $14.00 – $7.00 = $12.10; $1.90
B. 3d – $14.00 + $7.00 = $12.10; $9.55
C. 3d + $14.00 – $7.00 = $12.10; $1.70
D. 2d + $14.00 – $7.00 = $12.10; $2.55
Answers
Answer:
The equation to model this situation is 3d + $14.00 – $7.00 = $12.10 and the cost of one large drink is $1.7 .
Option (C) is correct .
Step-by-step explanation:
As given
John and 2 friends are going out for pizza for lunch.
They split one pizza and 3 large drinks. The pizza cost $14.00. After using a $7.00 gift certificate, they spend a total of $12.10.
let us assume that the numbers of large drinks are represented by d .
Than the equation becomes
Total money spend = Number of drinks × d + Pizza cost - Gift certificate amount .
Putting all the values in the above
12.10 = 3d + 14.00 - 7.00
Simplify the aboves
12.10 = 3d + 14 - 7
12.10 = 3d + 7
12.10 - 7 = 3d
5.1 = 3d
d = $ 1.7
Therefore the equation to model this situation is 3d + $14.00 – $7.00 = $12.10 and the cost of one large drink is $1.7 .
Option (C) is correct .
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(1) (3,0) is the solution to the system because it satisfies the equation
y = |x - 3|.
(2) (9,0) is the solution to the system because it satisfies the equation
3x + 3y = 27.
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Answers
3x + 3y = 27
3x + 3|x - 3| = 27
3x + 3|x - 3| = ±27
3x + 3|x - 3| = 27 or 3x + 3|x - 3| = -27
3x + 3(x - 3) = 27 or 3x + 3(x - 3) = -27
3x + 3(x) - 3(3) = 27 or 3x + 3(x) - 3(3) = -27
3x + 3x - 9 = 27 or 3x + 3x - 9 = -27
6x - 9 = 27 or 6x - 9 = -27
+ 9 + 9 + 9 + 9
6x = 36 or 6x = -18
6 6 6 6
x = 6 or x = -3
y = |x - 3| or y = |x - 3|
y = |6 - 3| or y = |-3 - 3|
y = |3| or y = |-6|
y = 3 or y = 6
(x, y) = (6, 3) or (x, y) = (-3, 6)
The two systems of equations of the graph is only equal to (6, 3). It is not equal to (-3, 6) because one of the systems of equations - y = |x - 3| - only has one solution to the function. So the answer to the problem is 3 - (6, 3) is the solution to the system because it satisfies both equations.
Answers
log(x-2) - log(x+1) = -1
and you should know that log(x-2) minus log(x+1) is equal to:
log((x-2)/(x+1))
so now you have:
log((x-2)/(x+1)) = -1
now you can say:
(x-2)/(x+1) = 10^ -1 or (x-2)/(x+1) = 1/10
now you can say:
10(x-2) = x+1
10x -20 = x +1
10x - x = 20+1
9x = 21
x = 21/9
x = 7/3 :)))
I hope this is helpful
have a nice day
Answers
3.75 quarts
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Answers
Answer:
The required graph is shown below.
Step-by-step explanation:
Consider the provided function.
The above function is a linear function.
We can draw the graph of the function with the help of 2 points.
Substitute x = 0 in the above function.
Substitute y = 0 in the above function.
Now plot the points.
Draw a straight line passing through (0,1) and (7/4,0)
The required graph is shown below.
Go to a website called desmos graphing calculator and it will help you out but I put a image of the graphed equation as well.
Answers
Answers
y = -2x² + 8x - 12
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y + 12 - 8 = -2x² + 8x - 8
y - 4 = -2(x²) - 2(-4x) - 2(4)
y - 4 = -2(x² - 4x + 4)
y - 4 = -2(x² - 2x - 2x + 4)
y - 4 = -2[x(x) - x(2) - 2(x) - 2(-2)]
y - 4 = -2[x(x - 2) - 2(x - 2)]
y - 4 = -2(x - 2)(x - 2)
y - 4 = -2(x - 2)²
+ 4 + 4
y = -2(x - 2)² + 4