Answer:
we conclude that the cost of 100 pencils = $11
Step-by-step explanation:
Brianna can buy 14 pencils for $1.50 at the school store.
so
unit rate = $1.50 / 14 pencils
= 0.11 USD per pencil
Thus,
The cost of 1 pencil = $0.11
The cost of 100 pencils = $0.11 × 100
= $11
Therefore, we conclude that the cost of 100 pencils = $11
Answer:
A) The quotient is x^2+7x+7 and the remainder is 10.
Step-by-step explanation:
Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.
Answer:
<u>They are perpendicular</u>
Step-by-step explanation:
Perpendicular lines have slopes that are negated versions of the other or positive versions of the slope of the other. The slopes are also flipped.
Parallel lines have the same slope.
Neither is when the lines do not follow either of these definitions.
The slope of your two lines are -3/2 and 2/3. These slopes are flipped and the opposite negations of each other. <u>This means the lines are perpendicular.</u>
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Equation B is written in vertex form, which means you can read the vertex (extreme value) from the numbers in the equation.
Vertex form is
y = a(x -h)² + k
where the vertex (extreme point) is (h, k). Whether that is a maximum or a minimum depends on the sign of "a". When "a" is negative, the graph is a parabola that opens downward, so the vertex is a maximum.
Equation
B reveals its extreme value without needing to be altered.
The extreme value of this equation is a
maximum at the point
(2, 5).
If I use the gym for x hours in a month, the total cost in terms of x will be 1000 + x.
a. Monthly membership fee = $100
Additional amount charged = $1 per hour.
If I use the gym for x hours in a month, the total cost in terms of x will be:
= 1000 + 1(x)
= 1000 + x
b. Also, if the amount charged is $35 per month and $3.50 per hour, the total cost will be:
= 35 + 3.50(x)
= 35 + 3.5x
c. The number of hours that will give same cost will be:
1000 + x = 35 + 3.5x
Collect like terms.
1000 - 35 = 3.5x - x
965 = 2.5x
x = 965/2.5
x = 386
In 386 hours, the total cost will be the same.
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