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3 years ago

Last year, Tim rode his bike a total of 50 3/8 miles. This year, he rode his bike a total of 258 3/4 miles.

Mathematics

1 answer:

MaRussiya [10]3 years ago

6 0

Idk I’m in middle school I need help

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The quadratic function in vertex form of a parabola vertex 1,1 and passes through 4,19

Grace [21]

Answer:

y = 2(x - 1)² + 1

Step-by-step explanation:

The equation of a quadratic function in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (1, 1), thus

y = a(x - 1)² + 1

To find a substitute (4, 19) into the equation

19 = a(4 - 1)² + 1

19 = 9a + 1 ( subtract 1 from both sides )

18 = 9a ( divide both sides by 9 ), thus

a = 2

y = 2(x - 1)² + 1 ← in vertex form

5 0

3 years ago

Which of the following is a solution of x2 + 6x = −18? x = 3 − 3i x = −3 + 3i x = −6 + 3i x = 6 − 3i

Marina86 [1]

Step 1 ) Move all terms right side of the equation.

$\displaystyle\ x^{2} + 6x = -18$

$\displaystyle\ x^{2} + 6x + 18 = -18 + 18$

$\displaystyle\ x^{2} +6x + 18 = 0$

Step 2 ) Apply quadratic formula. (Note: There are 2 solutions)

$\displaystyle\ x^{2} +6x + 18 = 0$

$\displaystyle\ x = \frac{-b\sqrt{b^{2}-4ac}}{2a}, \displaystyle\ x = \frac{-b-\sqrt{b^{2}-4ac}}{2a}$

$\displaystyle\ x = \frac{-6+\sqrt{6^{2}-4 * 18}}{2} , \displaystyle\ x = \frac{-6-\sqrt{6^{2}-4*18}}{2}$

$\displaystyle\ x = \frac{-6+6i}{2}$ ,

$\displaystyle\ x = \frac{-6-6i}{2}$

Step 3 ) Simplify.

$\displaystyle\ x = \frac{-6+6i}{2}$ ,

$\displaystyle\ x = \frac{-6-6i}{2}$

$\displaystyle\ x = -3+ 3i$ ,

$\displaystyle\ x = -3 - 3i$

Since the options only provide one of the answer we found, the answer is...

$\displaystyle\ x = -3 - 3i$

•

- <em>Marlon Nunez</em>

6 0

3 years ago

Read 2 more answers

Two dice are rolled. What is the probability of getting doubles?

Lina20 [59]

Answer:

the probability of getting doubles is 1 / 6

I hope this may be helpful

6 0

2 years ago

Read 2 more answers

Calculate the speed of a wave with the frequency of 100 hz and wavelength of 250 m, please.

masya89 [10]

Answer:

25000m/s

Step-by-step explanation:

The following formula is used to calculate the speed or velocity of a wave.

V = f * w

Where V is the velocity (m/s)

f is the frequency (hz)

w is the wavelength (m)

First, determine the frequency.

Calculate the frequency of the wave.

Next, determine the wavelength.

Calculate the wavelength of the wave.

Finally, calculate the wave speed.

Using the formula above, calculate the wave speed.

7 0

3 years ago

Pete began practicing at twenty-five minutes before eight. What is another way to write this time?

ratelena [41]

Answer: 8 hrs and 3/4 of an hour (three quarters)

Step-by-step explanation:

the same logic such as a quarter of an hour

7 0

3 years ago