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3 years ago

Consider the function f(x) = 10x^2 + 6x - 2 when x=3

Mathematics

1 answer:

Savatey [412]3 years ago

5 0

Answer:

106

Step-by-step explanation:

Substitute x = 3 into f(x) and evaluate , that is

f(3)

= 10(3)² + 6(3) - 2 = 10(9) + 18 - 2 = 90 + 18 - 2 = 106

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The factory used to produce 126 articles a day. As a result of retooling, production increased to 189 articles a day. What was t

NARA [144]

Answer: The answer is 50%.

Step-by-step explanation: Given that the factory produces 126 articles in a day. After retooling, the production of the articles increased and they started producing 189 articles in a day. We need to calculate the percent increase in labour productivity.

We have,

Percent Increase in labour productivity will be equal to the percent increase in the number of articles.

Increase in the number of articles after retooling = 189 - 126 = 63.

Therefore, percent increase in the number of articles is given by

$p=\dfrac{63}{126}\times 100\%=\dfrac{100}{2}\%=50\%.$

Thus, the labour productivity increased by 50%.

8 0

3 years ago

Company B: starting salary-28,000 Yearly salary increase-2,400

Naya [18.7K]

Answer:

Sharla, 4400

Step-by-step explanation:

Paul's Salary:

Paul started at company B. Starting salary of company B is $ 28,000 with a yearly increase of $ 2,400. Paul's Salary in first year will be 28,000. In second year his salary will be 28000 + 2400, in 3rd year his salary will be: 28000 + 2(2400) and so on.

Since, the increase in Paul's salary every year is $ 2400, the increase in his salary after 10 years or in 10th year would be = 2400 x 9 = $ 21,600

So, his total salary in 10th year would be = 28000 + 21600 = $ 49,600

Sharla's Salary:

Sharla started at company C. Starting salary of company C is $ 36,000 with a yearly increase of $ 2,000.

Since, the increase in Sharla's salary every year is $ 2000, the increase in her salary after 10 years or in 10th year would be = 2000 x 9 = $ 18,000

So, her total salary in 10th year would be = 36000 + 18000 = $ 54,000

Conclusion:

Sharla earned more in 10th year an amount equal to $ 4400. So the answer is:

In the last year, <u>Sharla</u> earned <u>$4,400</u> more.

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3 years ago

The dashed triangle is the image of the pre-image solid triangle.

BabaBlast [244]

The scale factor is 4.

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3 years ago

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What is the circumstance of the circle

PilotLPTM [1.2K]

Answer:

8pi

Step-by-step explanation:

circumference of the circle=2 pi r(radius)

=2pi×d(diameter)/2

=2 × pi × 8/2

=8 pi cm

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3 years ago

Label the terms in the expression as constant, linear, and quadratic

Masteriza [31]

Answer:

Step-by-step explanation:

4x^2 is the quadratic

3x is linear

-6 is the constant.

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3 years ago

Consider the function f(x) = 10x^2 + 6x - 2 when x=3​

Consider the function f(x) = 10x^2 + 6x - 2 when x=3