Answer:
(-1, 4)
Step-by-step explanation:
Point B is 5 units below point A, and point E is 5 units above point D: AB = ED. This means that BC will be equal to EF. B and C are 7 units apart, so 7 units left from E is (-1, 4).
Hope this helps!
The ration of boy campers to total campers is 8:15, and the ratio of girl campers to total campers is 7:15. Using this information, we can answer this question by setting up proportions.
<u>For boys:</u>

<em>*Cross multiply*</em>
15x=1560
<em>*Divide both sides by 15*</em>
x=104
There are 169 boy campers.
<u>For girls:</u>

<em>*Cross multiply*</em>
15x=1365
91=x
There are 91 girl campers.
Hope this helps!!
It would be 3.22x10^8
have a good day
Assume the following:
Brad has been in the soccer team for b years.
Scot has been in the soccer team for s years.
"The number of years that brad has been on the soccer team is 2 less than 5 times the number of years that Scott has"
means: b=5s-2
"in total,the boys have been on the soccer team for 10 years."
means: b+s=10
so we have the equations:
i) b=5s-2
ii) b+s=10
substitute b in ii) with 5s-2, as they are equal, from i
(5s-2)+s=10
5s-2+s=10
6s=12
s=2,
then , from b+s=10, b=8
Answer: Brad has been in the team for 8 years.
The smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.
What is the intermediate value theorem?
Intermediate value theorem is theorem about all possible y-value in between two known y-value.
x-intercepts
-x^2 + x + 2 = 0
x^2 - x - 2 = 0
(x + 1)(x - 2) = 0
x = -1, x = 2
y intercepts
f(0) = -x^2 + x + 2
f(0) = -0^2 + 0 + 2
f(0) = 2
(Graph attached)
From the graph we know the smallest positive integer value that the intermediate value theorem guarantees a zero exists between 0 and a is 3
For proof, the zero exists when x = 2 and f(3) = -4 < 0 and f(0) = 2 > 0.
<em>Your question is not complete, but most probably your full questions was</em>
<em>Given the polynomial f(x)=− x 2 +x+2 , what is the smallest positive integer a such that the Intermediate Value Theorem guarantees a zero exists between 0 and a ?</em>
Thus, the smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.
Learn more about intermediate value theorem here:
brainly.com/question/28048895
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