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3 years ago

What is the vertex of this equation?

Mathematics

1 answer:

AfilCa [17]3 years ago

7 0

Answer:

(5, 4)

Step-by-step explanation:

The equation can be written in vertex form by adding and subtracting 25:

y = -(x^2 -10x +25) -21 +25

y = -(x -5)^2 +4

Then the vertex can be identified as (5, 4).

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Simplify: 49 - 4 x 49 ÷ 7 21 34 36

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Answer:

Step-by-step explanation:

49 - 4 x 49 / 7 =

49 - 196 / 7 =

49 - 28 =

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Find the surface area of a pringles can that has a radius of 1.6 inches and a height of 9.8 inches. (Find the WHOLE surface area

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Answer:

10.55

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3 years ago

What is the probability that a randomly selected book is a nonfiction paperback?

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The answer to the image is 41.8%.

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3 years ago

Suppose you have x quarters, 3x + 2 dimes, 5x +1 nickels, and 6x + 4 pennies. The value of the coins is $4.59. Write an equation

NeTakaya

$\text{Suppose you have x quarters, (3x+2) dimes, (5x+1) nickels and (6x+4) pennies}\\
\text{and total value of the coins is }\$ 4.59\\
\\
\text{we know that the value of 1 quarter is}=\$ 0.25\\
\\
\text{value of 1 dime}=\$0.10\\
\\
\text{value of 1 Nickel}=\$ 0.05\\
\\
\text{value of 1 Penny}=\$ 0.01\\
\\
\text{so the equation that represents the given situation is}$

0.25 x+0.10(3x+2)+0.05(5x+1)+0.01(6x+4)=4.59

$\\
\text{now to find the number of each coin, we solve it. so}\\
\\
0.25 x+0.3x+0.20+0.25x+0.05+0.06x+0.04=4.59\\
\\
0.86x+0.29=4.59\\
\\
\Rightarrow 0.86x=4.59-0.29\\
\\
\Rightarrow 0.86x=4.3\\
\\
\Rightarrow x=\frac{4.3}{0.86}\\
\\
\Rightarrow x=5$

So the number of quarters is: 5

Number of dimes=3x+2=3(5)+2=17

Number of nickels=5x+1=5(5)+1=26

And number of Pennies=6x+4=6(5)+4=34

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3 years ago

What is the value of x 2x - 10 = 2x + 50

Roman55 [17]

There is no solution

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4 years ago

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