PLEASE HELP ME ASAP I'LL GIVE BRAINLIEST

Two shirt screening companies charge a set up fee and a charge for each shirt made.

lara31 [8.8K]

Answer:

The correct option is;

Shirt Express charges less per shirt. For the cost to be the same 74 shirts must be ordered

Step-by-step explanation:

1) The given table for Shirt Express can be used to find the equation of the total cost of each made by Shirt Express as follows;

The rate of change of the function m is given as follows;

$m = \dfrac{y_2 - y_1 }{x_2 - x_1}$

Therefore, we have;

m = (438 - 353)/(50 - 40) = 8.5

Te equation in slope and intercept form is then y - 438 = 8.5(x - 50)

From which we have;

y = 8.5·x - 8.5×50 + 438 = 8.5·x + 13

y = 8.5·x + 13

Therefore, Shirt Express initially charges 13 per shirt which is less than the 50 Shirt Custom charges

2) the cost to be the same, we equate both shirts equations to get;

8.5·x + 13 = 8·x + 50

0.5·x = 50 - 13 = 37

x = 37/0.5 = 74 shirts

Therefore, for the cost to be the same 78 shirts must be ordered

4 0

3 years ago

How do you do this question?

lukranit [14]

Answer:

0.001591

Step-by-step explanation:

The power series for arctan(x) is:

arctan(x) = ∑ (-1)ⁿ x²ⁿ⁺¹ / (2n + 1)

Substituting 5x:

arctan(5x) = ∑ (-1)ⁿ (5x)²ⁿ⁺¹ / (2n + 1)

Multiply both sides by x:

x arctan(5x) = ∑ (-1)ⁿ x (5x)²ⁿ⁺¹ / (2n + 1)

Simplify:

x arctan(5x) = ∑ (-1)ⁿ (5x) (5x)²ⁿ⁺¹ / (10n + 5)

x arctan(5x) = ∑ (-1)ⁿ (5x)²ⁿ⁺² / (10n + 5)

Multiply top and bottom by 5:

x arctan(5x) = ∑ (-1)ⁿ 5 (5x)²ⁿ⁺² / (50n + 25)

Integrate:

∫ x arctan(5x) = ∑ (-1)ⁿ (5x)²ⁿ⁺³ / ((50n + 25) (2n + 3))

Evaluate between x = 0.1 and x = 0:

∫₀⁰¹ x arctan(5x) = [∑ (-1)ⁿ (5x)²ⁿ⁺³ / ((50n + 25) (2n + 3))] |₀⁰¹

∫₀⁰¹ x arctan(5x) = ∑ (-1)ⁿ (0.5)²ⁿ⁺³ / ((50n + 25) (2n + 3))

This is an alternating series. We can approximate it with Alternating Series Estimation.

bₙ₊₁ ≥ ε

(0.5)²⁽ⁿ⁺¹⁾⁺³ / ((50(n+1) + 25) (2(n+1) + 3)) ≥ 0.000001

(0.5)²ⁿ⁺⁵ / ((50n + 75) (2n + 5)) ≥ 0.000001

n ≥ 3

So the approximation is the sum of the terms from n=0 to n=3.

(-1)⁰ (0.5)²⁽⁰⁾⁺³ / ((50(0) + 25) (2(0) + 3))

+ (-1)¹ (0.5)²⁽¹⁾⁺³ / ((50(1) + 25) (2(1) + 3))

+ (-1)² (0.5)²⁽²⁾⁺³ / ((50(2) + 25) (2(2) + 3))

+ (-1)³ (0.5)²⁽³⁾⁺³ / ((50(3) + 25) (2(3) + 3))

= 0.0016667 − 0.0000833 + 0.0000089 − 0.0000012

= 0.001591

7 0

3 years ago

How is the process of rewriting literal equations similar to the process of solving equations in one variable?How is it differen

TEA [102]

A literal equation is, simply put, an equation that has a lot of letters or variables.
example :
A = bh
Lets solve it for b.
A = bh
A/h = bh / h
A/h = b

Now lets say we have equation in one variable like 10 = 5x
we can find x simply by, x = 10 / 5 = 2

The way of solving it similar. The difference is literal equation have more variables, you solve for certain variable in terms of another variables while in one variable you get the direct number.

4 0

3 years ago

Read 2 more answers

What is the solution? A. 1.87 B. 1.61 C. 3.73 D. 1.13

quester [9]

Try A:
6^(2*1.87) = 813.365

Try B:
6^(2*1.61) = 320.366

Try C:
6^(2*3.73) = 638275.725

Try D:
6^(2*1.13) = 57.362

Which one seems like the best answer?

6 0

3 years ago

Find the product (3a2 - 3b) (2a2 - b)

Natasha2012 [34]

(3a^2 - 3b)(2a^2 - b)

3a^2(2a^2 - b) - 3b(2a^2 - b) =
6a^4 - 3a^2b - 6a^2b + 3b^2 =
6a^4 -9a^2b + 3b^2 <===

4 0

3 years ago