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spayn [35]
2 years ago
13

Dad is 4 times as old as his son Jim. In 10 years, Dad's age will be 20 years more than twice Jim's age. How old is Jim? 10 year

s old 15 years old 30 years old
Mathematics
1 answer:
mezya [45]2 years ago
8 0
Jim is currently 15 years old!!
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For which pair of functions is the vertex of k(x)7 units below the vertex of f(x)?
kvv77 [185]

Answer: Option C

f(x) = x^2;\ k (x) = x ^ 2 -7

Step-by-step explanation:

Whenever we have a main function f(x) and we want to transform the graph of f(x) by moving it vertically then we apply the transformation:

k (x) = f (x) + b

If b> 0 then the graph of k(x) will be the graph of f(x) displaced vertically b units down.

If b> 0 then the graph of k(x) will be the graph of f(x) displaced vertically b units upwards.

In this case we have

f (x) = x ^ 2

We know that this function has its vertex in point (0,0).

Then, to move its vertex 7 units down we apply the transformation:

k (x) = f (x) - 7\\\\k (x) = x ^ 2 -7.

Then the function k(x) that will have its vertex 7 units below f(x) is

k (x) = x ^ 2 -7

3 0
3 years ago
Use the diagram shown. If BC = 14, AB = 11, and the perimeter of triangle ABC is 39, then what is the value of BD?
RUDIKE [14]

Answer:

BD=5.5

Step-by-step explanation:

11 divided by 2 gives you the answer

7 0
3 years ago
Find the unit price of each of the following items. Round your answer to the nearest tenth.
goldenfox [79]

Answer:

$0.0756 for 18 oz

$0.0634 for 32 oz

Step-by-step explanation:

4 0
2 years ago
I need the answer if you know write with explination if you don't know don't answer ​
yarga [219]

Answer:

ABD ≅ ACD and PQS ≅ PRS

Step-by-step explanation:

For ABD ≅ ACD;

AB = AC = 3.5

BD = CD = 2.5

AD ≅ AD by reflexive

Since all 3 sides are congruent, SSS can be used

For PQS ≅ PRS

PQ≅PR by given

QS≅RS by given

PS≅PS by reflexive property

Since all 3 sides are congruent, SSS can be used and they are congruent

8 0
2 years ago
What is the value of x?​
Maurinko [17]
Answer:
2
Explanation:
5 0
3 years ago
Read 2 more answers
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