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Elena-2011 [213]
3 years ago
12

Ceaser bought 2 bottles of juice that each holds 2 quarts and another bottle that holds 1 1/2 gallons of juice. How many quarts

of juice does he buy?
Mathematics
1 answer:
Rufina [12.5K]3 years ago
8 0
1 gallon = 4 quarts. 1 1/2 = 6 quarts. 2 bottles × 2 quarts = 4 quarts
6 qt + 4 qt = 10 quarts of juice.

Please mark me as brainliest. I really need it right now.
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How do i find the vertical asymptote?
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Answer:

  find the value of x that makes the denominator zero: x = 7

Step-by-step explanation:

A vertical asymptote shows up where the denominator is zero. As the denominator gets closer to zero, the function value gets larger without bound (unless there is a numerator factor that cancels the one in the denominator).

To find the value of x at the vertical asymptote, solve the equation ...

  denominator = 0

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Evaluate the expression: –(31 + 2) + 72 – (–5)2.
Rudiy27

Answer:

 14

Step-by-step explanation:

Order of operations rules require that we do any work inside parentheses first.  Thus,

–(31 + 2) + 72 – (–5)^2

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2 years ago
Write a quadratic equation given the roots -1/3 and 5, show your work
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\boxed{(x - a)(x - b) = 0}

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

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These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

(x +  \frac{1}{3} )(x -  5) = 0

Here we can convert the expression x+1/3 to this.

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Simplify by multiplying both expressions.

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<u>Answer</u><u> </u><u>Check</u>

Substitute the given roots in the equation.

3 {(5)}^{2}  - 14(5)  - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0

3( -  \frac{1}{3} )^{2}  - 14( -  \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) +  \frac{14}{3}  - 5 = 0 \\  \frac{1}{3}  +  \frac{14}{3}  -  \frac{15}{3}  = 0 \\  \frac{15}{3}  -  \frac{15}{3}  = 0 \\ 0 = 0

The equation is true for both roots.

<u>Answer</u>

\large \boxed {3 {x}^{2}  - 14x - 5 = 0}

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2 years ago
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