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3 years ago

One container holds 1 7/8 quarts of water and A second container holds 5 3/4 quarts of water how many more quarts of water does

the second container hold than the first container

Mathematics

1 answer:

BartSMP [9]3 years ago

4 0

$5 \frac{3}{4} -1 \frac{7}{8} = \frac{23}{4} - \frac{15}{8} = \frac{46}{8} - \frac{15}{8} = \frac{46-15}{8} = \frac{31}{8} = \boxed {3 \frac{7}{8} }$

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Use the Distributive Property to simplify the expression: 2(4a+6b)

Anarel [89]

8a+12b because you multiply 2 by each number. For example 4a times 2 is 8a and 6b times 2 is 12b

Hope that helped :)

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3 years ago

What is 1/3 equal too

sattari [20]

The numerator in a fraction represents the number of pieces selected. If the numerator is larger than the denominator, the number is larger than one

<span>The denominator in a fraction represents the total number of equal size pieces that make up a whole
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$1/3 = 0.333.... \ \ \ \ \ 33.333.....Percent$

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3 years ago

Find the absolute maximum and absolute minimum values, if any, of the function. (If an answer does not exist, enter DNE.)f(x) =

lyudmila [28]

Answer:

The absolute minimum value is " $-\frac{21}{4}$ " and the absolute maximum value is " $15$ ".

Step-by-step explanation:

Given:

$f(x)=x^2-x-5$

on,

$[0,5]$

By differentiating it, we get

⇒ $f'(x)=2x-1$

Set $f'(x)=0$

then,

⇒ $2x-1=0$

$2x=1$

$x=\frac{1}{2}$ (Critical point)

When x=0,

⇒ $f(x)=-5$

When $x=\frac{1}{2}$ ,

⇒ $f(x)=-\frac{21}{4}$ (Absolute minimum)

When $x=5$

⇒ $f(x)=15$ (Absolute maximum)

7 0

2 years ago

Determine the standard form of the equation of the line that passes through ( -5,0 ) ( 0 ,-9)

insens350 [35]

The general form for a line through two points (a,b) and (c,d) is

(c-a)(y-b)=(d-b)(x-a)

This is better than the slope forms because it works in the no slope case, as does the standard form.

If you haven't seen it before, it works because when (x,y)=(a,b) we get (c-a)(b-b)=(d-b)(a-a), both sides zero, and when (x,y)=(c,d) we get (c-a)(d-b)=(d-b)(c-a), clearly equal sides.

Here we have

(0 - -5)(y - 0) = (-9 - 0)(x - - 5)

5y = -9(x+5)

5y = -9x - 45

9x + 5y = -45

Ironically there are two standards for standard form; one with the constant alone on the right and one with the whole thing equal to zero. I like the constant alone.

Answer: 9x + 5y = -45

Check:

We check each point is on the line

(-5,0)

9(-5) + 5(0) = -45, good

(0, -9)

9(0) + 5(-9) = -45, good again

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