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Phoenix [80]
3 years ago
11

The height of water shooting from a fountain is modeled by the function f(x) = -4x2 + 24x - 29 where x is the distance from the

spout in feet. Complete the square to determine the maximum height of the path of the water.
Mathematics
1 answer:
Softa [21]3 years ago
8 0

Step-by-step explanation:

f(x) = -4x^2+24x-29

= -4(x^2-6x)-29

= -4(x-3)^2 -4(-9) -29

= -4(x-3)^2 +36-29

= -4(x-3)^2 +7

maximum height = 7m

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Use the number line to represent. -4 1/2 + 3 1/4. what is the sum?
dlinn [17]

Answer:

\displaystyle A+B=-\frac{5}{4}

Step-by-step explanation:

<u>The Number Line</u>

Let's call

\displaystyle A=-4\frac{1}{2}

\displaystyle B=+3\frac{1}{4}

Both numbers are given as mixed fractions. Let's convert them to improper fractions:

\displaystyle A=-4\frac{1}{2}=-(4+\frac{1}{2})=-\frac{8+1}{2}=-\frac{9}{2}

\displaystyle B=3\frac{1}{4}=3+\frac{1}{4}=\frac{12+1}{4}=\frac{13}{4}

The decimal values are A = -9/2=-4.5, B=13/4 = 3.25

Now represent the points in the number line. See the image below

Finally, calculate their sum:

\displaystyle A+B=-\frac{9}{2}+\frac{13}{4}

\displaystyle A+B=-\frac{18}{4}+\frac{13}{4}=\frac{-18+13}{4}

\boxed{\displaystyle A+B=-\frac{5}{4}}

4 0
3 years ago
С
Svet_ta [14]

Answer: 25

Step-by-step explanation:

The hypothenuse will be gotten by using Pythagoras formula. This will be:

Hypotenuse² = Opposite² + Adjacent²

Hypotenuse²= 7² + 24²

Hypotenuse² = 49 + 576

Hypotenuse² = 625

Hypotenuse = ✓625

Hypotenuse = 25kilometer

4 0
3 years ago
G(x) = 2x – 3
DanielleElmas [232]
Answer 0 because you need to use inverse operations
6 0
3 years ago
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Pairs of shoes are manufactured for $24. They are sold to a warehouse with a mark-up of 15%. The warehouse sells the shoes to a
scZoUnD [109]

Answer: ‭$54.75

Step-by-step explanation:

The price the shoes are sold to the warehouse is:

= 24 * ( 1 + 15%)

= 24 * 1.15

= $27.60

The price the warehouse sells it is:

= 27.60 + 10

= $37.60

Price distributor sells is:

= 37.60 * 1.12

= $42.112

Fine shoes will then sell at 30% profit:

= 42.112 * 1.3

= $‭54.7456‬

= ‭$54.75

6 0
3 years ago
What is 4/5 plus 2/3
omeli [17]

Answer:

1 \frac{7}{15}  or

\frac{22}{15}

Step-by-step explanation:

6 0
3 years ago
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