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3 years ago

Write a quadratic function with zeroes 0 and 8.

Mathematics

1 answer:

Jlenok [28]3 years ago

3 0

Answer:

$x^2-8x=0$

Step-by-step explanation:

the quadratic function should be as follows:

$x^2-8x=0$

Now let's confirm that the zeros of the function are 0 and 8

$x^2-8x=0=x(x-8)=0$

Therefore we can see that if x = 0

$0^2*8*0=0\\0=0$

the equation is fulfilled

And we also have $(x-8)$

for this expresion to be equal to zero:

$x-8=0\\x=8$

thus, if x = 8

$8^2-8*8=0\\64-64=0\\0=0$

the equation is also fulfilled

The zeros of the quadratic function $x^2-8x=0$ are 0 and 8.

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Josh biked to the park at an average speed of 14 mph. He returned home at an average speed of 10 mph. If Josh spent a total of 2

VikaD [51]

Answer:

Let the distance from home to the park be x

Going to the park

Distance=vt

x=14t¹ ——(1)

Going back home

x=10t² ——(2)

Total time=t¹+t²

2.5=t¹+t²

Solving equ. 1 and 2 simultaneously

10x=140t¹

14x=140t²

Adding

4x=140(t¹+t²)

24x=140(2.5)

x=14.58 miles

Total distance= 2x

= 29.16miles

Step-by-step explanation:

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4 years ago

A man six foot two inches tall casts a nine foot three inch shadow. How tall is a child that casts a five foot four inch shadow

saw5 [17]

It will be a an 8 foot shadow

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3 years ago

Two people together can do a certain job in twenty minutes.If one of them can do the job alone in forty-five minutes, how long w

OlgaM077 [116]

<h2>Answer:</h2>

36 minutes

<h2>Step-by-step explanation:</h2>

Going through the question in bits:

i. <em>Two people together can do a certain job in 20 minutes.</em>

This implies that the time taken to finish the job is 20 minutes.

This also means that in 1 minute, they will do $\frac{1}{20}$ of the job i.e the rate at which the job is done by the two of them is $\frac{1}{20}$

ii. <em>If one of them can do the job in 45 minutes.</em>

This implies that the time taken by one of them to finish the job is 45 minutes.

This also means that in 1 minute, he will do $\frac{1}{45}$ of the job. i.e the rate at which the job is done by one of them is $\frac{1}{45}$

iii. <em>let the other person do the job in x minutes.</em>

This implies that the time take by the other person to finish the job is x minutes.

This also means that in 1 minute, he will do $\frac{1}{x}$ of the job. i.e the rate at which the job is done by the other person is $\frac{1}{x}$

Now,

The rate by which the job will be done by the two of them combined is the sum of the individual rates.

i.e

$\frac{1}{20}$ = $\frac{1}{45}$ + $\frac{1}{x}$

Multiply through by 90x and solve

(90x * $\frac{1}{20}$ ) = (90x * $\frac{1}{45}$ ) + (90x * $\frac{1}{x}$ )

4.5x = 2x + 90

4.5x - 2x = 90

2.5x = 90

x = $\frac{90}{2.5}$

x = 36

Therefore it will take the other person 36 minutes to finish the job.

3 0

3 years ago

choose the single logarithm expression that is equivalent to the one shown 1 / 3 log 3x + 2 / 3 log 3x

alexgriva [62]

Answer:

$\log (3x)$

Step-by-step explanation:

The given logarithmic expression is:

$\frac{1}{3}\log(3x)+ \frac{2}{3}\log(3x)$

This is the same as:

$\frac{1}{3}\log(3x)+ \frac{1}{3}\log(3x)^2$

$\frac{1}{3}(\log(3x)+ \log(3x)^2)$

We now apply the product rule to get:

$\frac{1}{3}\log(3x)\times (3x)^2$

$\frac{1}{3}\log (3x)^3$

We now apply the power rule to get;

$\frac{3}{3}\log (3x)=\log (3x)$

6 0

3 years ago

0.9(x+1.4)−2.3+0.1x=1.60.9(x+1.4)−2.3+0.1x=1.6

SIZIF [17.4K]

I assume that the given equation above is 0.9(x+1.4)−2.3+0.1x=1.6 and not 0.9(x+1.4)−2.3+0.1x=1.60.9(x+1.4)−2.3+0.1x=1.6, I think there is a typo error on this. Based on equation I assumed the answer is 2.64.Thank you for posting your question here, I hope my answer helps.

7 0

3 years ago