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4 years ago

What is the inverse of y = 5 - 3x? Show all your steps

1 answer:

5 0

The equation given in the question is
y = 5 - 3x
To find the inverse, we have to replace x with y.
x = 5 - 3y
-3y = x - 5
Dividing both sides by - 3 we get
y = (x - 5)/-3

I hope that the procedure is clear enough for you to understand and this is the answer that you were looking for and the answer has actually come to your desired help.

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When 63x3y + 105x2y is divided by -7xy, the quotient is . If this quotient is divided by , the result is 3x + 5.

Karo-lina-s [1.5K]

Answer:

-9x^2 - 15x.

-3x.

Step-by-step explanation:

The first quotient is -9x^2 - 15x.

To find the second result we divide the above by 3x + 5:

-3x

____________

3x + 5) -9x^2 - 15x

-9x^2 - 15x

-----------------

..................

The result is -3x.

8 0

3 years ago

Read 2 more answers

Calories for each minute of basketball you play.

notka56 [123]

3. 2-6-(-9)= 5

• 2-6+9 = 5

8 0

3 years ago

Triangle DEF (not shown) is similar to ABC shown, with angle B congruent to angle E and angle C congruent to angle F. The length

Bezzdna [24]

Answer:

Area of ΔDEF is $45\ cm^2$ .

Step-by-step explanation:

Given;

ΔABC and ΔDEF is similar and ∠B ≅ ∠E.

Length of AB = $2\ cm$ and

Length of DE = $6\ cm$

Area of ΔABC = $5\ cm^2$

Solution,

Since, ΔABC and ΔDEF is similar and ∠B ≅ ∠E.

Therefore,

$\frac{Area\ of\ triangle\ 1}{Area\ of\ triangle\ 2} =\frac{AB^2}{DE^2}$

Where triangle 1 and triangle 2 is ΔABC and ΔDEF respectively.

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

$\frac{5}{Area\ of\ triangle\ 2} =\frac{2^2}{6^2}\\ \frac{5}{Area\ of\ triangle\ 2}=\frac{4}{36}\\ Area\ of\ triangle\ 2=\frac{5\times36}{4} =5\times9=45\ cm^2$

Thus the area of ΔDEF is $45\ cm^2$ .

4 0

3 years ago

Read 2 more answers

Suppose that a small country consists of four states:

Kamila [148]

Answer:

a.) Standard Divisor = 20000

b.) Standard Quota for State A = 66

Standard Quota for State B = 54

Standard Quota for State C = 26

Standard Quota for State D = 4

Step-by-step explanation:

The country consists of four states

A B C D

1,326,000 1,068,000 524,000 82,000

Total population = 1326000 + 1068000 + 524000 + 82000

= 3000000

It is said that there are 150 seats in the legislature that have to be apportioned among the four states based on their respective states.

a.) Find the standard divisor

Standard Divisor = $\frac{Total \hspace{0.1cm} population }{Number \hspace{0.1cm} of \hspace{0.1cm} seats} = \frac{3000000}{150} = 20000$

b.) Each state's standard quota.

Standard Quota for State A = $\frac{1326000}{20000} = 66.3 \approx 66$

Standard Quota for State B = $\frac{1068000}{20000} = 53.4 \approx 54$

Standard Quota for State C = $\frac{524000}{20000} = 26.2 \approx 26$

Standard Quota for State D = $\frac{82000}{20000} = 4.1 \approx 4$

If the quota are rounded to the nearest number and added then we find that the total is 149 and we so we take the quota which has the highest decimal part and round up and then summing all the quotas we get a total of 150 seats.

8 0

4 years ago

Kevin invested $8,000 for one year at a simple annual interest rate of 6 percent and invested $10,000 for one year at an annual

irinina [24]

Answer:

Total interest =$1296

Step-by-step explanation:

Kevin invested $8,000 for one year at a simple annual interest rate of 6 percent

Simple interest = $\frac{Pnr}{100}$