Answer:
4x + 5 = 101
Step-by-step explanation:
<u>Step 1: Determine how much money both have</u>
Aylen: x
Rich: 5 + 3x
<u>Step 2: Write an equation and solve</u>
Aylen + Rich = 101
x + 5 + 3x = 101
<u>Step 3: Solve the equation</u>
x + 5 + 3x = 101
4x = 96
x = 24
Step 4: Determine how much money does Aylan and Rich have
Aylan has $24
Rich has 5 + 3(24) = $77
Answer:
Thus every real number other than zero is either positive or negative, while zero itself is not considered to have a sign. Positive numbers are sometimes written with a plus sign in front, e.g. +3 denotes a positive three.
Answer:
a dollar 1.50
Step-by-step explanation:
you take 4 and multiple by 1.25 which is 5 then you the remaining 3 and divide by 2 which is 1.50
Hope this helps:)
Answer:
- dimensions: 12 ft by 5 ft
- area: 60 ft²
Step-by-step explanation:
Let x represent the shorter dimension in feet. Then the longer one is x+7 and the Pythagorean theorem tells us the relation of these to the diagonal is ...
x² + (x+7)² = 13²
2x² +14x + 49 = 169 . . . . eliminate parentheses
x² +7x -60 = 0 . . . . . subtract 169 and divide by 2
(x +12)(x -5) = 0 . . . . factor the equation
x = -12 or +5 . . . . . . . only the positive value of x is useful here.
The short dimension is 5 ft, so the long dimension is 12 ft. The area is their product, 60 ft².
_____
<em>Comment on finding the area</em>
The quadratic equation above can be rearranged and factored as ...
x(x +7) = 60
Since the dimensions of the garden are x and (x+7), this product is the garden's area. This equation tells us the area is 60. We don't actually have to find the dimensions.
Answer: find the answer in the explanation
Step-by-step explanation:
Given that the transformed graph is of function f(x) = (x + 2)^4 + 6 and the parent function g(x) = x^4
The transformed graph function g(x) was shifted two (2) units to the left and was translated six (6) units upward.
When the function is shifted to the right, the factor of x will be negative and when it's shifted to the left, the factor of x will be positive.
Therefore, function g(x) = x^4 is shifted 2 units to the left and translated 6 units upward to form f(x) = ( x + 2 )^4 + 6.
