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4 years ago

How much larger is a gallon than a quart?

Mathematics

1 answer:

PIT_PIT [208]4 years ago

4 0

A gallon is 4 times larger than a quart because there are 4 quarts in 1 gallon!

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Which of the following expressions describes the solution set m ≥ -3?

Keith_Richards [23]

The answer would be c

7 0

3 years ago

A plan travels 800mi from Dallas,Texas to Atalanta,Georgia with a prevailing west wind of 49mph. The return trip against the win

anastassius [24]

Still need a snwer ?

4 0

3 years ago

(-2x-8) (-3x² + 4x+5)

marissa [1.9K]

Answer:6x^3+16x^2-42x-40

Step-by-step explanation:

To expand

(-2x-8)(-3x^2+4x+5)

6x^3-8x^2-10x+24x^2-32x-40

Collect like terms

6x^3-8x^2+24x^2-10x-32x-40

6x^3+16x^2-42x-40

3 0

3 years ago

The controller (money manager) for a small company puts some money in a bank account paying 5% per year. He uses some addition

zhuklara [117]

$x @ 4%, $x/3 @ 5% , $(10,000- 4x/3) @ 9%

.04x +.05x/3 + .09(10000 - 4x/3) = 729 

4x + 5x/3 + 9(10000 - 4x/3) = 72900 

19x/3 = 17100, x = 2700 
------------------ 
$2700 @ 4% 
$900 @ 5% 
$6400 @9%

5 0

3 years ago

I really really really need help!!!!

Yakvenalex [24]

For $f$ to be continuous at $x=1$ , you need to have the limit from either side as $x\to1$ to be the same.

$\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1^-}(|x-1|+2)=2$
$\displaystyle\lim_{x\to1^+}f(x)=\lim_{x\to1^+}(ax^2+bx)=a+b$

If $a=2$ and $b=3$ , then the limit from the right would be $2+3=5\neq2$ , so the answer to part (1) is no, the function would not be continuous under those conditions.

This basically answers part (2). For the function to be continuous, you need to satisfy the relation $a+b=2$ .

Part (c) is done similarly to part (1). This time, you need to limits from either side as $x\to2$ to match. You have

$\displaystyle\lim_{x\to2^-}f(x)=\lim_{x\to2^-}(ax^2+bx)=4a+2b$
$\displaystyle\lim_{x\to2^+}f(x)=\lim_{x\to2^+}(5x-10)=0$

So, $a$ and $b$ have to satisfy the relation $4a+2b=0$ , or $2a+b=0$ .

Part (4) is done by solving the system of equations above for $a$ and $b$ . I'll leave that to you, as well as part (5) since that's just drawing your findings.

8 0

3 years ago