All categories

4 years ago

Describe how you would know that a parabola has 2 zeroes?

Mathematics

1 answer:

grigory [225]4 years ago

6 0

Answer:

Roots are also called x-intercepts or zeros. A quadratic function is graphically represented by a parabola with vertex located at the origin, below the x-axis, or above the x-axis. Therefore, a quadratic function may have one, two, or zero roots.

Step-by-step explanation:

You might be interested in

A baby gains 11 pounds in its first year of life. The baby gained 4 à pounds during the first four months and 3 pounds in

sveticcg [70]

4 pounds is the correct answer.

explanation:
the baby gained 4 lbs during the first 4 months. then the baby gained 3 during the second 4 months. that is a total of 7. subtract that from 11, and you have 4 lbs.

3 0

4 years ago

Pure acid is to be added to a 10% acid solution to obtain 117 L of a 20% acid solution. What amounts of each should be used?

creativ13 [48]

Answer:

A typical mixture equation

x + .10(54-x) = .20(54)

x + 5.4 - .10x = 10.8

x - .1x = 10.8 - 5.4

.9x = 5.4

x = 5.4%2F.9

x = 6 L of pure acid to be combined with: 54-6 = 48 L of 10% solution

Step-by-step explanation:

does this help?

8 0

3 years ago

Find the inverse of h(x) = <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2x%2B6%7D%7B5%7D" id="TexFormula1" title="\frac{2x+6}{5}"

Dima020 [189]

Answer:

The inverse of h(x) is $\frac{5x-6}{2}$

Step-by-step explanation:

* Lets explain how to make the inverse of a function

- To find the inverse of a function we switch x and y and then solve

for new y

- You can make it with these steps

# write g(x) = y

# switch x and y

# solve for y

# write y as $g^{-1}(x)$

* Lets solve the problem

∵ $h(x)=\frac{2x+6}{5}$

# Step 1

∴ $y=\frac{2x+6}{5}$

# Step 2

∴ $x=\frac{2y+6}{5}$

# Step 3

∵ $x=\frac{2y+6}{5}$

- Multiply each side by 5

∴ 5x = 2y + 6

- Subtract 6 from both sides

∴ 5x - 6 = 2y

- Divide both sides by 2

∴ $y=\frac{5x-6}{2}$

# Step 4

∴ $h^{-1}(x)=\frac{5x-6}{2}$

3 0

3 years ago

If a license plate has three letters followed by three digits, with no repetitions allowed and no use of either the letter o or

Irina-Kira [14]

The license plates will look like this:

letter1 letter2 letter3 digit1 digit2 digit3

A sample license plate looks like this: ACT983

We need to see the numbers of letters and digits that can be used in each place, and multiply all numbers together.

You cannot use the letter O. Since there are 26 letters in the alphabet, by removing the letter O, you now have 25 letters left. The position "letter1" can have one of 25 letters.

For letter2, you cannot use the letter O, and you cannot use the letter that was already used, so now there are 24 letters left. Position letter2 can be filled with on of the remaining 24 different letters.

25 * 24

Letter3 can have 23 choices of letters.

25 * 24 * 23

Now we do a similar thing with the digits. Digit1 cannot be zero, but it can be any digit from 1 to 9, so digit1 has 9 choices. Since no repetitions are allowed, digit2 has 8 choices of digits, and then digit3 has 7 choices of digits.

The number of different license plates available is the product:

25 * 24 * 23 * 9 * 8 * 7

25 * 24 * 23 * 9 * 8 * 7 = 6,955,200

Answer: 6,955,200

7 0

4 years ago

What is the measure of <C?<br>

zlopas [31]

Answer:

m∠C = 38°

Step-by-step explanation:

By the inscribed angle theorem,

"Intercepted arc measures the double of the measure of the inscribed angle"

m(arc AB) = 2[m(∠ACB)]

76° = 2[m(∠ACB)]

m(∠ACB) = 38°

Therefore, measure of angle ACB = 38°.

4 0

3 years ago