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galben [10]
2 years ago
7

The table shown below shows some values for functions f(x) and g(x). What is/are the solution(s) to f(x)=g(x)? Explain your answ

er(s).
x –3 –2 –1 0 1 2
f(x) 81 27 9 3 1 1⁄3
g(x) 6 7.5 9 10.5 12 13.5
Mathematics
1 answer:
salantis [7]2 years ago
5 0

Answer:

  x = -1

Step-by-step explanation:

Both tables show a function value of 9 for x = -1.

  x = -1 is the solution to f(x) = g(x), since f(-1) = 9 = g(-1).

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In the right triangle shown, A= 30° and AB = 8.
zloy xaker [14]

Answer:

BC=4\ units

Step-by-step explanation:

The picture of the question in the attached figure

we know that

sin(30^o)=\frac{BC}{AB} ----> by SOH (opposite side divided by the hypotenuse)

we have

AB=8\ units\\\\sin(30^o)=\frac{1}{2}

solve for BC

BC=sin(30^o)(AB)

substitute the values

BC=(\frac{1}{2})(8)

BC=4\ units

4 0
2 years ago
Patsy found a top on the clearance rack marked 60% off the original price. If the original price is $48, how much will Patsy sav
Arlecino [84]
If the top is $48 and it is 60% off you will multiply the cost by the decimal form of the sale percentage: 48*0.60= $28.80. This is the amount she will save and I think is the answer you are looking for.

If there is a follow up question asking for the final cost of the top you would find that by subtracting the amount saved from the original cost: 48.00-28.80=$19.20.
5 0
3 years ago
Read 2 more answers
5x : 9 = 8:3<br> Calculate the value of x.
frez [133]
Answer:
4.8

Explanation:
Please see the picture attached!

I hope this helps! Please comment if you have any questions.
7 0
3 years ago
What is the measure of an angle if it is 260 degrees less than six times its own complement?
poizon [28]

Answer:

40 degrees

Step-by-step explanation:

Complementary angles have a sum of 90.

y = 90 - x

The angle is 260 degrees less than six times its complement.

y = 6x - 260

90 - x = 6x - 260

350 - x = 6x

350 = 7x

50 = x

This is the measure of the complement.

y = 90 - x

y = 90 - 50

y = 40

This is the measure of the first angle.

7 0
3 years ago
Please help Evaluate this equation!!
lozanna [386]

Answer:

1.)-8

2.)-5

3.)4

Step-by-step explanation:

So, the function f(x)=3x-5

The questions say "If you were to substitute these numbers what answer would you get?"

Understanding this,

First question is with x=-1

f(-1)=3(-1)-5

f(-1)=-3-5=-8

_____________________________________

f(0)=3(0)-5

f(0)=0-5=-5

_____________________________________

f(3)=3(3)-5

f(3)=9-5=4

6 0
2 years ago
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