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vazorg [7]
3 years ago
10

. Let f and ???? be the functions given by f(x) = x2 and ????(x) = x|x|.

Mathematics
1 answer:
vaieri [72.5K]3 years ago
5 0

Answer:

  a.  1/9, 16, -3

Step-by-step explanation:

Fill in the numbers and do the arithmetic.

  f(1/3) = (1/3)² = 1/9

  ????(4) = 4|4| = 16

  ????(-√3) = (-√3)|-√3| = (-√3)(√3) = -3

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The time required for a skilled worker to produce x shirts is given by the function T(x) = 4x + 2, where T is measured in hours.
solong [7]

Answer:

A. $1,110

B. 50 units.

Step-by-step explanation:

A. Substitute x=18 into the function T(x)=4x+2 for calculate the time in hours required for the worker to produce 18 units:

T(18)=4(18)+2=74

Now you need to substitute T=74 into the function S(T)=15T to calculate the amount in dollars she will be paid for 74 hours:

S(74)=15(74)=1,110

She will be paid $1,110.

B. To calculate the number of units that the worker needs to produce to be paid $3,030 , you need to substitute S(T)=3,030 into the function S(T)=15T and solve for T (to find the number of hours she requires to work to be paid $3,030)

3,030=15T\\\\T=\frac{3,030}{15}\\\\T=202

Now, substitute T(x)=202 into T(x)=4x+2 and solve for x, to calculate the number of units she produces in 202 hours:

202=4x+2\\\\202-2=4x\\\\x=\frac{200}{4}\\\\x=50

She would need to produce 50 units to be paid $3,030

5 0
3 years ago
If the diameter of a cylinder is 18 inches, the radius of the cylinder is 9 inches.
Afina-wow [57]

Answer:

True

Step-by-step explanation:

A cylinder has two circles as its bases, and the diameter formula is:

2r = d

So if you plug in:

2r = 18

---    ---

2     2

r = 9

So it will be true.

Hope this helped.

7 0
3 years ago
5% of what number is 10
Umnica [9.8K]

Answer:

its 0.5

Step-by-step explanation:

5 0
3 years ago
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How many more points do I need for a gpa of a 2.0<br>​
madreJ [45]

Answer:

you need at least a score of 60

Step-by-step explanation:

anything 59 and below is 1.95 and every percent higher it adds .5 more

8 0
2 years ago
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A tenant rented a store to use as a real estate school at a base rent of $1,500 a month. Additionally, the tenant agreed to pay
allsm [11]

Answer:

3. $600,000

Step-by-step explanation:

We have been given that a tenant rented a store to use as a real estate school at a base rent of $1,500 a month. Additionally, the tenant agreed to pay 3% of gross annual sales over $200,000.

Let us find base annual rent.

\text{Base annual rent}=\$1500\times 12\\\\ \text{Base annual rent}=\$18,000

Let us find the amount of rent paid as 3% of gross annual sales.

\$30,000-\$18,000=\$12,000

Let us find amount of sales over $200,000 by dividing $12000 by 3% or 0.03.

\frac{\$12,000}{0.03}=\$400,000

Total sales would be $400,000 plus $200,000.

\text{Total sales}=\$400,000+\$200,000\\\\ \text{Total sales}=\$600,000

Therefore, the total sales for that year was $600,000 and 3rd option is the correct choice.

7 0
3 years ago
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