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3 years ago

Write the following expression

Mathematics

1 answer:

Rashid [163]3 years ago

6 0

Answer:

2x^2 - 18x + 45

Step-by-step explanation:

Standard form is ax^2 + bx + c

Expand the (x-5)^2 = (x-5)(x-5) --

x^2 - 5x - 5x + 25

x^2 - 10x + 25

So we now have

2(x^2 - 10x + 25) + 2(x-5) + 5

From here, distribute the 2 to each term in x^2 - 10x + 25, and distribute the 2 to each term in x - 5.

2x^2 - 20x + 50 + 2x - 10 + 5

Combine like terms

2x^2 - 20x + 2x + 50 - 10 + 5

2x^2 - 18x + 40 + 5

2x^2 - 18x + 45

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A Jack-In-The-Box is built around a spring with a spring constant of 70 N/m. How hard does the

tankabanditka [31]

Hooke's Law Formula:

F = k * x

•F = Force

•K = Spring Constant

•X = spring variation

Answer:

F = ?

K = 70 N/m

X = 40cm - 15cm (ending length - starting length).

But we need to change 'cm' to 'm', so we will divide the result of X by 100.

X= 25/100 → 0.25m

F = 0.25 * 70

F = 17.5 N

- mbsilvaf

5 0

3 years ago

As a salesperson at Trading Cards Unlimited, Justin receives a monthly base pay plus commission on all that he sells. If he sell

noname [10]

Answer:

Justin's salary will be $1048 when he sells $3400 worth of merchandise.

Step-by-step explanation:

If the salesperson receives a monthly base pay and the commission on the sales expression that represents his monthly pay,

y = B + C(x)

Here y = Monthly pay

B = Base pay

C = percentage of commission

x = Amount of sales done

If he sells $500 worth of merchandise in a month, he earns $410,

410 = B + C(500) -----(1)

If he sells $900 worth of merchandise in a month, he earns $498,

498 = B + C(900) ------(2)

By subtracting equation (1) from equation (2),

498 - 410 = 900C - 500C

88 = 400C

C = $\frac{88}{400}$

C = 0.22

From equation (1),

410 = B + 0.22(500)

B = 410 - 110

B = $300

Therefore, expression for the monthly earning will be,

y = 300 + 0.22(x)

Justin's salary when he sells $3400 worth of merchandise in a month,

y = 300 + 0.22(3400)

y = 300 + 748

y = $1048

Therefore, Justin's salary will be $1048.

8 0

3 years ago

What is 7+6+162+7338+45+7172

Delicious77 [7]

The answer is 14730
Your welcome

4 0

4 years ago

Erin calculated the average speed of her most recent run to be 120/16 miles per hour how is this friction expressed as a decimal

Contact [7]

Answer:

$\dfrac{15}{2}$

Step-by-step explanation:

The average speed of the Erin is 120/16 mph

Here,

Numerator = 120

Denominator = 16

mph = miles per hour

We need to find an expression expressed as a decimal.

So,

$\dfrac{120}{16}=\dfrac{2\times 3\times 2\times 2\times 5}{2\times 2\times 2\times 2}\\\\=\dfrac{15}{2}$

So, the final answer is $\dfrac{15}{2}$ .

4 0

3 years ago

What are two step equations

miskamm [114]

2 step equations are equations that require 2 steps to solve it.

For example, 2x + 5 = 3x + 6

To solve for x, we must isolate it.

First subtract 2x on both sides, which is ONE step.

2x + 5 = 3x + 6
-2x -2x

5 = x + 6

The we must subtract 6 from both sides of the equation, which makes is the second step.

5 = x + 6
-6 -6

-1 = x

-1 would be the answer and we only used 2 steps to solve it.

8 0

4 years ago