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3 years ago

Rewrite the expression by factoring out (w-7). 3w2(w– 7) - 5(w-7)

Mathematics

1 answer:

amid [387]3 years ago

5 0

(W-7)(3w^2-5)
I think this is what they mean by factoring it out

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445 rounded to the nearest 100 is

Vlad [161]

Its 400 ..... hope that helps :)

6 0

3 years ago

Read 2 more answers

3x(-2x)8(-2)=30 what value of x makes the equation true. A. 24 B.26 C.5 D.6

Leokris [45]

Answer:

Step-by-step explanation:

5 0

3 years ago

A taxi charges a base fee plus $0.75/km.

Naily [24]

a) The rate of change in this situation is 0.75 dollars/km

b) The equation for the cost of hiring a taxi in terms of length of the

trip is y = 0.75 x + b

c) The initial value represents in this situation is $1.2

Step-by-step explanation:

The given is:

A taxi charges a base fee plus $0.75/km.
A 10-km trip costs $8.70

∵ A rate of change is a rate that describes how one quantity

changes in relation to another quantity

∵ The unit cost of a taxi is 0.75 dollars for each 1 kilometer

∴ The rate of change = 0.75 dollars/km

a) The rate of change in this situation is 0.75 dollars/km

Assume that the cost of hiring a taxi is $y for length of a trip x km

and a base fee of $b

∵ The length of the trip = x km

∵ The cost per km = $0.75

∵ The base fee = $b

∵ The cost of hiring a taxi = $y

- Write an equation for the the cost of hiring a taxi

∴ y = 0.75 x + b

b) The equation for the cost of hiring a taxi in terms of length

of the trip is y = 0.75 x + b

∵ The length of the trip is 10 km

∴ x = 10

∵ The cost of the hiring a taxi is $8.70

∴ y = 8.70

- Substitute these values in the equation of part (b)

∵ y = 0.75 x + b

∴ 8.70 = 0.75(10) + b

∴ 8.70 = 7.5 + b

- Subtract 7.5 from both sides

∴ 1.2 = b

∵ b is the base fee

∴ b is the initial value

∴ The initial value = $1.2

c) The initial value represents in this situation is $1.2

Learn more:

You can learn more about word problems in brainly.com/question/3950386

#LearnwithBrainly

3 0

3 years ago

Read 2 more answers

Enrollment at ELAC decreased by 5%, or 600 people, the year. How many people were enrolled last year?

babymother [125]

Answer:

12,000.

Step-by-step explanation:

Let x be the number of people that were enrolled last year.

We have been given that enrollment at ELAC decreased by 5%, or 600 people, the year. We are asked to find the number of people that were enrolled last year.

We can set as equation such that 5% of x equals 600.

$\frac{5}{100}\cdot x=600$

$0.05x=600$

$\frac{0.05x}{0.05}=\frac{600}{0.05}$

$x=12,000$

Therefore, 12,000 people were enrolled last year.

7 0

3 years ago

The pH scale for acidity is defined by pH= -log subscript 10 [H superscript+] where [H superscript+] is the concentration of hyd

gtnhenbr [62]

Answer:

The concentration of hydrogen ions in moles per liter (M) is $3.981 * 10^{-9}$

Step-by-step explanation:

As we know

The hydrogen ion concentration of any solution at pH is given by

$H^+ = 10^{-pH}$

Substituting the given values in above equation, we get -

$H^+ = 10^{-8.4}\\H^+ = 3.981 * 10^{-9}$ mol/l

The concentration of hydrogen ions in moles per liter (M) is $3.981 * 10^{-9}$

8 0

3 years ago