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MrRissso [65]
3 years ago
7

Consider the following, what is the summation of all solutions? (2x+4)^2+1=5

Mathematics
1 answer:
Rus_ich [418]3 years ago
8 0

Answer:

- 4

Step-by-step explanation:

(2x + 4)² + 1 = 5 ← expand left side using FOIL and simplify

4x² + 16x + 16 + 1 = 5

4x² + 16x + 17 = 5 ( subtract 5 from both sides )

4x² + 16x + 12 = 0 ( divide terms by common factor 4 )

x² + 4x + 3 = 0 ← in standard form

(x + 3)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x + 1 = 0 ⇒ x = - 1

Summation of solutions = - 3 + (- 1) = - 3 - 1 = - 4

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laila [671]

For this case we have to:

x: Represents the number of miles that can be traveled in a day

We have that the cost of daily car rental is given by the following expression:

26.20 + 0.35x

If the person has a budget of $200 then we have to:

26.20+0.35x\leq200\\0.35x\leq200-26.20\\0.35x\leq173.8\\x\leq\frac{173.8}{0.35}\\x\leq496.57

Thus, you can travel 496 miles in one day.

Answer:

26.20 + 0.35x \leq200

6 0
3 years ago
What would the domain and range of this graph be? In interval form, if it can be.
skad [1K]

Answer:

Step-by-step explanation:

Domain is the x values.  The interval of x-values that the function encompasses are from 0 inclusive to 7 exclusive.  In interval notation that is [0, 7).  The range is the y values.  The interval of y-values that the function encompasses are from what looks like -2 to 4.  In interval notation that is [-2, 4].  The domain goes from the lowest x-value to the highest; the range goes from the lowest y-value to the highest.

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Consecutive numbers would be like 2 and 3, or 7 and 8.

All we need to do is keep multiplying pairs of consecutive numbers until we get above 50.

1 × 2 = 2 (that's one.)
2 × 3 = 6 (two)
3 × 4 = 12 (three)
4 × 5 = 20 (four)
5 × 6 = 30 (five)
6 × 7 = 42 (six...)
<em>7 × 8 = 56 > 50</em>
We have a total of 6 numbers that equal the product of 2 consecutive intergers<em>

</em>
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Is (6, 2) a solution to this system of equations? x + 4y = 14 2x + 4y = 20
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No it’s not because (6,2) would be a no solution so no
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3 years ago
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