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2 years ago

Ab + a - b when a = 3, and b = 7

Mathematics

2 answers:

Harrizon [31]2 years ago

5 0

Answer:

Step-by-step explanation:

ab + a - b (sub numbers)

(3)(7) + 3 - 7 (multiply)

21 + 3 - 7 (add/subtract left to right)

Roman55 [17]2 years ago

4 0

Answer:

Step-by-step explanation:

(3 × 7) + 3 - 7

21 + 3 - 7

24 - 7

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PLEASE HELP ME!!!! I NEED THIS QUICKLY!!

zloy xaker [14]

Part A: $y=-\frac{5}{4} x+\frac{35}{2}$ is the equation of the line.

Part B: Anika worked 17.5 hours on day 0.

Part C: The setup time decreases with 1 hour and 15 min per day.

Explanation:

Part A: Let us find the equation of the line using the points (2,15) and (6,10)

The equation of the line is given by,

$y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \cdot\left(x-x_{1}\right)$

Substituting, we get,

$y-15=\frac{10-15}{6-2} (x-2)$

Simplifying, we have,

$y-15=-\frac{5}{4} (x-2)$

$y-15=-\frac{5}{4} x+\frac{5}{2}$

Subtracting both sides by 15, we get,

$y=-\frac{5}{4} x+\frac{35}{2}$

Hence, the equation of the line is $y=-\frac{5}{4} x+\frac{35}{2}$

Part B: To determine the number of hours Anika worked on day 0, let us substitute x = 0 in the equation of the line.

Thus, we get,

$y=\frac{35}{2}\\y=17.5$

Hence, Anika worked 17.5 hours on day 0.

Part C: The setup time decrease per day can be determined using the slope.

The formula for slope is given by

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substituting , we have,

$m=\frac{10-15}{6-2}=-\frac{5}{4}$

Converting the fraction into hours and minutes, we get,

$-\frac{5}{4}\times60=-75 min$

Since, 1 hour = 60 min

Subtracting 60 and 75 = 15 min

Thus, the setup time decreases with 1 hour and 15 min per day.

6 0

3 years ago

If I deposit $100,000 in a retirement account that gives 8 % paid annually, what will be balance after 25 years?

Zinaida [17]

Answer:

$300,000

Step-by-step explanation:

To find 8% of 100,000 all you need to do is multiply 100,000 by .08.

100,000 (.08) = 8,000

The 8,000 accounts for one year, so now you have to multiply 8,000 by 25.

8,000 (25) = 200,000

Now add the initial amount to the additional 200,00 that will be paid to the retirement account.

100,000 + 200,000 = 300,000

The answer is $300,000.

6 0

2 years ago

Please help me and type out the answer

Orlov [11]

Answer:

The owner makes $2 in sales per customer

Note: The "Amount of sales" label of the question is phrased poorly. s could be better labeled "profit from sales" or at least "Amount made from sales", etc.

Step-by-step explanation:

If you logically think about how the answer (now that you know it) relates to the question, it should make simple sense.

i.e. if you consider the first column where $24 is made from 12 customers, and divide the $24 made by the 12 customers, you'll see that each customer spends $2.

3 0

2 years ago

Read 2 more answers

Solve the system of equations by substitution. Show your work in the sketch and write your answer as an ordered pair.

Ede4ka [16]

Let's solve your system by substitution.

−3x+y=−2;y=4x

Rewrite equations:

y=4x;−3x+y=−2

Step: Solvey=4xfor y:

y=4x

Step: Substitute4xforyin−3x+y=−2:

−3x+y=−2

−3x+4x=−2

x=−2(Simplify both sides of the equation)

Step: Substitute−2forxiny=4x:

y=4x

y=(4)(−2)

y=−8(Simplify both sides of the equation)

Answer:

x=−2 and y=−8

3 0

3 years ago

Give f(x)=4x-6 and g(x)=f(2x), write an equation for g

neonofarm [45]

Step-by-step explanation:

G(x) =4(2x)-6

G(x)=8x-6

7 0

3 years ago