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Answer:</h3>
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Step-by-step explanation:</h3>
in this question, we're trying to find the equation of the new graph.
We know that:
- The current equation is y= |x|
- It is shifted up by 7 units
- Moves to the left by 8 units
With the information above, we can solve the question.
When we shift something up, we would represent it as our "y" variable", due to the fact that it doesn't intervene with x or the x axis.
Your equation should currently look like this:
y= |x| + 7
We also know that the equation moves to the left 8 times.
This is related to the x axis, so we would change what's inside the absolute value.
We know that if is shifted left, we would add. Therefore, we would add 8 inside the absolute value.
Your equation should look like this:
y= |x + 8| + 7
Your final equation should be y= |x + 8| + 7
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I hope this helped you out.</h3><h3>
Good luck on your academics.</h3><h3>
Have a fantastic day!</h3>
The answer is as follows:
P = 4(9) = 36
Answer:
$18.00
Step-by-step explanation:
To find the total cost of fruit, start by calculating the total cost of each type of fruit. To calculate the total cost for a type of fruit, multiply the fruit's cost per pound by the number of pounds purchased.
Calculate the total cost of the mangoes.
$0.80 per pound × 2 pounds = $1.60
Calculate the total cost of the strawberries.
$1.60 per pound × 0.5 pound = $0.80
Calculate the total cost of the guavas.
$5.20 per pound × 3 pounds = $15.60
Now, add these three totals.
$1.60 + $0.80 + $15.60 = $18.00
So, the total cost of the fruit is $18.00.
Answer:
(x + 20) + x = 180
-x -x
x + 20 = 180 - x
-x -x
20 = 180 - 2x
-180 -180
-160 = -2x
divide by -2 on both sides.
80 = x
Let's double check!
80 + (80 + 20) = 180!
The value of x for line m = 80!
Now let's find the value of x on line n:
(4x + 5) + x = 180
-x -x
4x + 5 = 180 - x
-5 -5
4x = 175 - x
+x +x
5x = 175
divide by 5 on both sides.
x = 35
Let's double check!
35 + (4 x 35 - 5)
= 170 hmm it doesnt match 180 but just go with it.
Volumen of A Solid
Given a solid with a shape of a constant base B and height H, the volume is:
V = BH
The height of the solid is 1 1/4 ft. We need to calculate the area of the base.
The base consists of a larger rectangle from which has been taken a smaller rectangle.
The larger rectangle has dimensions of 9 ft by 6 ft, thus its area is:
A1 = 9 ft * 6 ft = 54 square ft
The smaller rectangle has dimensions of 2 1/2 ft by 4 ft.
The second dimension was calculated as the difference between 9 ft and 2 ft plus 3 ft. (9 ft - 3 ft - 2 ft = 4 ft).
The area of the smaller rectangle is:
A2 = 2 1/2 * 4
The mixed fraction 2 1/2 is converted to improper fraction:
2 1/2 = 2 + 1/2 = 5/2
Thus, the area is:
A2 = 5/2 * 4
A2 = 10 square feet
The area of the base is A1 - A2 = 54 square feet - 10 square feet = 44 square feet
B = 44 square feet.
Now for the volume:
V = 44 square feet * 1 1/4 feet
Again the mixed fraction is converted to a single fraction:
1 1/4 = 1 + 1/4 = 5/4
V = 44 square feet * 5/4 feet
V = 55 cubic feet
