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Paraphin [41]
3 years ago
7

Harrison goes to a thrift shop and is going to buy a sports coat, a dress shirt, or a tie. Harrison tends to like everything but

decides to stick to a power tie, which would be a tie with red or yellow in it. The thrift shop has 6 sports coats that fit him and 8 dress shirts that fit him. The thrift shop has 4 red ties and 5 yellow ties. How many choices does Harrison have
Mathematics
1 answer:
Sphinxa [80]3 years ago
3 0

Answer:

Harrison has 432 choices.

Step-by-step explanation:

Harrison will choose:

One sports coat from a set of 6.

One dress shirt from a set of 8.

One power tie from a set of 4 + 5 = 9.

How many choices does Harrison have?

6*8*9 = 432

Harrison has 432 choices.

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6 0
3 years ago
The table below represents a linear function f(x) and the equation represents a function g(x):
Elza [17]

Answer:

(a) The slope of f(x) is greater than the slope of g(x)

(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}

g(x) = 3x - 2

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}

This gives:

m = \frac{f(0) - f(1)}{0 - 1}

m = \frac{f(0) - f(1)}{- 1}

Substitute values for f(0) and f(1)

m = \frac{-1 - 7}{- 1}

m = \frac{-8}{- 1}

m = 8

The slope of g(x) can be gotten using the following comparison

g(x) = mx + b

m \to slope

So:

g(x) = 3x -2

m = 3

m_{f(x)} > m_{g(x)}

Solving (b): Compare the y intercept

y intercept is when x = 0

From the table of f(x)

f(0) = -1

From the equation of g(x)

g(x) = 3x -2

g(0) = 3*0-2

g(0) =-2

<em></em>f(0) > g(0)<em></em>

6 0
3 years ago
To hang lights up on his house.Garrett place is a 14 foot ladder 4 feet from the base of the house. How high up the house will t
Firlakuza [10]

This seems like a right triangle problem.

So assuming 14 feet is the hypotenuse and 4 feet is a leg of the right triangle, we can use the pythagorean theorem (a^{2} +b^{2} =c^{2}) to solve for the height of the house, in which we shall name it x.

So, the equation is 4^{2} +x^{2} =14^{2}.

Solve for x:

16+x^{2}= 196

x^{2}= 196-16

x^{2}= 180

x = 6√5 feet


Hope this helps!

5 0
3 years ago
Read 2 more answers
I forgot to send this in my last question, Sorry!
pshichka [43]

1. \:  =  > 4( - 7) \\  = 4 \times  - 7 \\  =  - 28

3. \:  =  > 9( - 12) \\  = 9 \times  - 12 \\  =  - 108

4. \:  =  >  - 6( - 8.75) \\  = 6 \times 8.75 \\  = 52.5

5. =  > 27( - 3) \\  = 27 \times  - 3 \\  =  - 81

7. \:  =  >  - 55(0) \\  - 55 \times 0 \\  = 0

8. \:  =  > ( - 7)( - 7.25) \\  = 7 \times 7.25 \\  = 50.75

11. \:  =  > ( - 1) {}^{4}  \\  = 1 {}^{4}  \\  = 1

13. =  > 42 \div ( - 7) \\  =  - (42 \div 7) \\  =  - 6

15. =  >  - 9 \div 3 \\  =  - (9 \div 3) \\  =  - 3

<h2>Solved ✔︎</h2>

8 0
2 years ago
How do you find the absolute extrema of this function?<br> f(x) = x+3x^(2/3); Interval is [-10,1]
Step2247 [10]
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now, f(0) = 0, and f(-8) is an imaginary value or no real value.

now, f(-10)   will also give us an imaginary value

and f(1) = 4

so, doing a first-derivative test on 0, is imaginary to the left and positive on the right, and before and after 1, is positive as well, so f(x) is going up on those intervals.

however, f(0) is 0 and f(1) is higher up, so the absolute maximum will have to be f(1), and we can use f(0) as a minimum, and since it's the only one, the absolute minimum.

the other two, the endpoint of -10 and the critical point of -8, do not yield any values for f(x).
8 0
3 years ago
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