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3 years ago

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Find the vertex of the parabola given by y=2x^2-4x-1

1 answer:

Murrr4er [49]3 years ago

3 0

Given the quadratic y = 2x^2-4x-1, I identify A = 2, B= -4 and C = -1. The axis of symmety: x = -b/2a --> 4/2(2) = 4/4 = 1. Therefore, the x-coordinate of the vertex is 1. To find the y-coordinate, I plug in 1 for x into the quadratic. Hence, y = 2(1)^2-4(1)-1 ---> -3. The coordinates of the vertex are (1,-3).

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s2008m [1.1K]

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2 years ago

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Hector has 3/4 hour to spend his homework. He wants to spend 1/3 of this time on math homework, 10 minutes of his time on readin

DENIUS [597]

Answer:

20 minutes

Step-by-step explanation:

Remember that

$1\ h=60\ mi$

we know that

Hector has 3/4 hour to spend his homework

Convert to minutes

$\frac{3}{4}(60)=45\ min$

so

1) He wants to spend 1/3 of this time on math homework

To find out the time on math homework, multiply 45 minutes by 1/3

$45(\frac{1}{3})=15\ min$

2) He wants to spend 10 minutes of his time on reading homework

3) He wants to spend the remaining time on science homework

The time spend on math homework plus the time spend reading homework, plus the time spend on his science homework must be equal to 45 minutes

Let

x ----> the time spend on his science homework

$15+10+x=45$

Solve for x

$25+x=45\\x=45-25\\x=20\ min$

3 0

3 years ago

The sum of two numbers is 53 and the difference is 11. What are the numbers ?

eimsori [14]

The numbers are 32 and 21
32 + 21 = 53
32 - 21 = 11

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3 years ago

Wren’s first display box is 6 inches long, 9 inches wide, and 4 inches high. What is the volume of the display box? Explain your

Black_prince [1.1K]

Answer:

$\text{Volume of display box}=216\text{ in}^3$

Step-by-step explanation:

We have been given that Wren’s first display box is 6 inches long, 9 inches wide, and 4 inches high. We are asked to find the volume of display box.

We know that the box is in form of cuboid, so its volume would be length times width times height.

$\text{Volume of display box}=6\text{ in}\times 9\text{ in}\times 4\text{ in}$

$\text{Volume of display box}=216\text{ in}^3$

Therefore, the volume of the display box is 216 cubic inches.

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3 years ago

The value of y directly varies with the value of x. If y equals 21when x is 14, what is the value of y when x = 20?

Karo-lina-s [1.5K]

Answer:

21×20÷14

=3×20÷2

=3×10

x=30

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3 years ago