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Norma-Jean [14]

3 years ago

7

Matrix’s van holds 14 gallons of gas and can be driven 25 miles per gallon. His next road trip is 1050 miles away. How many time

s will his van need to be filled up to make the trip?

2 answers:

Nata [24]3 years ago

8 0

3 times. because 14x25=350 and 350 times 3 equals 1,050.

Whitepunk [10]3 years ago

3 0

1050÷25 = 42 gallons of gas for the trip
42÷14 = 3 times to fill up the tank
ANSWER = 3

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Thank you for posting your question here. Below are the choices that can be found elsewhere:

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pashok25 [27]

Answer:

Step-by-step explanation:

(1) $f(x) = (x-1)^{2} - 36$

First, let's expand the expression:

$f(x) = x^{2} -2x + 1 - 36$

$f(x) = x^{2} - 2x - 35$

Next, let's factor the quadratic:

$f(x) = (x - 7)(x + 5)$

Finally, set the equation equal to $0$ to find the solutions

$0 = (x - 7)(x + 5)$

$x = -5, 7$

(2) During the step $(x - 5)^{2} = 36$ , when you take the square root of both sides, you have two equations, rather than one:

$x - 5 = 6$ and $x - 5 = -6$ , so the solutions should be $x = -1, 11$

(3)

$\frac{1}{4}(x + 5)^{2} - 1 = 3$

Add $1$ to both sides

$\frac{1}{4}(x + 5)^{2} = 4$

Multiply both sides by $4$

$(x + 5)^{2} = 16$

Take the square root of both sides

$x + 5 =$ ± $4$

Subtract $5$ from both sides

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3 years ago