Answer:
$0.25
Step-by-step explanation:
Site A pays ...
... $0.65 × 5 = $3.25
Site B pays ...
... y = 0.60·5 = 3.00 . . . dollars
Site A pays more by ...
... $3.25 - 3.00 = $0.25
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You can also look at the difference in unit rates. Site A pays $0.65 per photo, while site B pays $0.60 per photo, a difference of $0.65 - 0.60 = $0.05 per photo. Then 5 photos will be worth $0.05 × 5 = $0.25 more at Site A.
Answer:
yes
Step-by-step explanation:
The side lengths satisfy the Pythagorean theorem, so the triangle is a right triangle.
7.5² +10² = 12.5²
56.25 +100 = 156.25
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You may recognize that the ratios of side lengths are ...
7.5 : 10 : 12.5 = 3 : 4 : 5
A 3-4-5 triangle is a well-known right triangle, as this is the smallest set of integers that satisfy the Pythagorean theorem. They also happen to be consecutive integers, so form an arithmetic sequence. Any arithmetic sequence that satisfies the Pythagorean theorem will have these ratios.
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If you're familiar with trigonometry, you know the law of cosines tells you ...
c² = a² + b² - 2ab·cos(θ) . . . . where θ is the angle between sides a and b. This reduces to the Pythagorean theorem when θ=90°, which makes cos(θ)=0. If the sides do not satisfy the Pythagorean theorem, cos(θ)≠0 and the triangle is not a right triangle.
Answer:
The statement is true that a function is a relation in which each y value has ONLY 1 x value.
Step-by-step explanation:
The statement is true that a function is a relation in which each y value has ONLY 1 x value.
The reason is very clear that we can not have the repeated x-values (two same x-values).
For example, given the set of the ordered pairs of a relation
{(3, a), (6, b), (6, c)}
As the same x values (x=6) has two different Y values. Hence, the stated relation is not a function.
In order to be a function, a relation must have only 1 x-value for each y-value.
Therefore, the statement is true that a function is a relation in which each y value has ONLY 1 x value.
Answer:
Option C
Step-by-step explanation:
According to the graph, there are vertical asymptotes at 
and 
. Therefore, C is correct because -3+3=0 and 7-7=0.
