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KonstantinChe [14]

3 years ago

15

Kendra's water bottle contains 2 quart of water . She wants to add drink mix to it , but the directions for the drink mix give t

he amount of water in fluid ounces . How many fluid ounces are in her bottle ?

1 answer:

disa [49]3 years ago

4 0

It will be 64 fluid ounces

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Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,

Tresset [83]

Answer:

$\boxed{y=2x^2+4x-7}$

Step-by-step explanation:

Let the quadratic function be

$y=ax^2+bx+c$

We substitute $(-4,9)$ into the equation to obtain;

$9=a(-4)^2+b(-4)+c$

$\Rightarrow 9=16a-4b+c---(1)$

We substitute $(0,-7)$ to obtain;

$-7=a(0)^2+b(0)^2+c$

$\Rightarrow c=-7---(2)$

We finally substitute $(1,-1)$ to obtain;

$-1=a(1)^2+b(1)^2+c$

$\Rightarrow -1=a+b+c---(3)$

We put equation (2) into equation (1) to get;

$9=16a-4b-7$

$16a-4b=16$

$\Rightarrow 4a-b=4---(4)$

$\Rightarrow -1=a+b-7$

$\Rightarrow a+b=6---(5)$

We add equation (4) and (5) to get;

$4a+a=6+4$

$\Rightarrow 5a=10$

$\Rightarrow a=2$

We put $a=2$ into equation (5) to get;

$2+b=6$

$\Rightarrow b=6-2$

$\Rightarrow b=4$

The reqiured quadratic function is

$y=2x^2+4x-7$

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2 years ago

What number is part of the solution set to the inequality below? <br> z ≥ I -6 I <br> (2,3,4,5,6)

babunello [35]

Uhh 6 just the positive of | |

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2 years ago

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a plastering contractor charges $18 per square yard( that is $2 per square foot). what is the cost of plastering 100 feet of wal

Tomtit [17]

Basically, this problem is going to require you to solve for the area and multiply it with the given cost unit.

Area = Length*Height
Area = 100 ft * 8 ft = 800 ft²

Total Cost = (Unit Cost)(Area)
Total Cost = ($2/ft²)(800 ft²)
<em>Total Cost = $1,600</em>

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3 years ago

If 2500 amounted to 3500 in 4 years as simple interest .find the rates at wish the interest was charged

Bad White [126]

Answer:

The interest rate per year is 0.1

Step-by-step explanation:

The equation is A = P(1+rt)

Substitute the numbers

3500 = 2500 (1+4r)

solve for r:

$3500/2500 = 1+4r$

$1.4-1 = 4r$

$0.4 /4 = r$

$r = 0.1$

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2 years ago

Solve 34x+14y=5 for y.

Korvikt [17]

This is how you solve it, and here is the answer!

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3 years ago

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