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maksim [4K]
3 years ago
10

Suppose that in t months, the money you have saved is given by the equation S= 145t + 85. How many months will it take you to sa

ve $810?
3 months

4.5 months

5 months

5.5 months
Mathematics
1 answer:
Alecsey [184]3 years ago
3 0

5.5 months it took to save

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Answer:

  5x^2 +10x = -5

Step-by-step explanation:

The equation will have one solution when the discriminant is zero.

In standard form, the equation is ...

  ax^2 +10x -c = 0

The discriminant of the equation ax^2+bx+c=0 is  ...

  b^2 -4ac

so the discriminant of your equation is ...

  10^2 -4a(-c) = 100 +4ac

We want that to be zero, so we require ...

  100 +4ac = 0

  25 +ac = 0

  ac = -25

Any pair of values of 'a' and 'c' that have a product of -25 will satisfy the requirement. As you state, one possible pair is a = 5 and c = -5. Putting these values into the given equation makes it ...

  5x^2 +10x = -5 . . . . . the equation with a=5, c=-5

_____

<em>Additional comment</em>

Your problem statement does not require that 'a' be non-zero. If <em>a=0</em>, then the equation will have one real solution for <em>any value of c</em>.

If you restrict the solutions to integers, then possibilities include ...

  (a, c) = (1, -25), (5, -5), (25, -1), (-25, 1), (-5, 5), (-1, 25)

6 0
2 years ago
Tim answered all queston on is math test but got 10 answers wrong. He received 4 points for every corect answer, and there was n
Eduardwww [97]

Answer:

See below in Bold.

Step-by-step explanation:

If he scored 76 points he must have answered 76/4 = 19 questions correctly.

If the total number of questions is q then our equation is q = 10 + 76/4

= 10 + 19 = 29 questions.

6 0
3 years ago
Find the range of f(x) = –x + 4 for the domain {–3, –2, –1, 1}.
marishachu [46]

Answer:

\boxed{ \{7, 6, 5, 3 \} }

Step-by-step explanation:

The domain is all possible values for x.

The range is all possible values for f(x) or y.

The domain given is {-3, -2, -1, 1}.

Plug x as {-3, -2, -1, 1} and find the f(x) or y values.

f(-3)=-(-3)+4=7\\f(-2)=-(-2)+4=6\\f(-1)=-(-1)+4=5\\f(1)=-(1)+4=3

The range is {7, 6, 5, 3}, when the domain is {-3, -2, -1, 1}.

5 0
3 years ago
What is the sign of the product of any odd number of negative integers? Explain your reasoning.​
Alchen [17]

Answer:

If there are an even number (0, 2, 4, ...) of negative factors to multiply, the product is positive. If there are an odd number (1, 3, 5, ...) of negative factors, the product is negative.

Step-by-step explanation:

3 0
3 years ago
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The table shows the type of super power students wish they had. Super power Students Flight 888 Super strength 101010 X-ray visi
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Answer:

the answer is A and B

Step-by-step explanation:

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