What is 3a*3a*3a*3a ? It says write it in exponential form but I'm having trouble trying to do that .

the number of kilometers a car can drive varies directly with the liters of fuel in the car. this car can travel 476 kilometers

notka56 [123]

For this case we have that the relationship is direct.

Therefore, we have:

$y = k * x$

Where,

y: distance traveled in kilometers

x: number of liters of fuel

k: proportionality constant

We must look for the value of k. For this, we use the following data:

This car can travel 476 kilometers on 17 liters of fuel.

Substituting values we have:

$476 = k * 17$

From here, we clear the value of k:

$k = \frac{476}{17}\\k = 28$

Therefore, the relationship is:

$y = 28x$

For 1428 kilometers we have:

$1428 = 28x$

Clearing the amount of fuel we have:

$x = \frac{1428}{28}\\x = 51$

Answer:

51 liters of fuel are required for the vehicle to travel 1,428 kilometers

3 0

3 years ago

Consider the following equation: f(x)=x^2+4\4x^2-4x-8 name the vertical asymptote(s)

zhenek [66]

ANSWER

The vertical asymptotes are

$\Rightarrow x=2\:or\:x=-1$

EXPLANATION

We have

$f(x)=\frac{x^2+4}{4x^2-4x-8}$

For vertical asymptotes we set the denominator to zero and solve the quadratic equation;

$4x^2-4x-8=0$

$\Rightarrow x^2-x-2=0$

We split the middle term to obtain,

$x^2+x-2x-2=0$

$\Rightarrow x(x+1)-2(x+1)=0$

$\Rightarrow (x-2)(x+1)=0$

$\Rightarrow x=2\:or\:x=-1$

Therefore the vertical asymptotes are

$x=2\:or\:x=-1$

3 0

4 years ago

Read 2 more answers

PLEASE HELP ME!

arlik [135]

Answer:

Angle: 22.5 deg, Complement: 67.5 deg, Supplement: 157.5 deg

Step-by-step explanation:

22.5 is 1/3 of 67.5

so compliment is 67.5.

Supplement is just adding another angle so I chose 7.

I did 22.5 x 7 = 157.5

Another example would be:

Angle: 10 deg, Complement: 30 (because 10 x 3), Supplement: 70 (because 10 x 7)

Hope this helps :)

5 0

3 years ago

One-sixth the sum of eight and a number

Aleks04 [339]

Step-by-step explanation:

Let the number be x.

1 =8 + x

6

6×1=6×8+6×x

6

1=48+6x

1-48=6x

-47=6x

6. 6 x = -7 5

6

x is equal to minus seven whole number five divided by six.

7 0

3 years ago

Write the equivalent fraction, the reduced fraction, and the decimal equivalent for 45%. Jenny solved this problem and her work

Bingel [31]

Given that we Jenny wants to equivalent fraction of 45% then convert into reduced fraction and then convert into decimal equivalent.

She has already shown her work. We just need to find the error if any.

to convert any percent value we just divide that number by 100 because percent itself means divide by 100.

Hence first step 45%=45/100 is correct.

Then she needed to convert into reduced fraction. To do that she divided numerator and denominator both by 5 and got 9/20.

step 2 is also correct.

Now she needs to convert into decimal equivalent so she divided 9 by 20 and got 4.5 while the correct answer should be 0.45

Hence she did error when converting fraction form into decimal form.

8 0

3 years ago

Read 2 more answers