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Mashcka [7]
4 years ago
10

If f(x) = 3x – 1 and g(x) = x^2 + 4, find the (gºf)(x).

Mathematics
1 answer:
mezya [45]4 years ago
5 0

Answer: 9x²-6x+5

Step-by-step explanation:

To find (gοf)(x), you want to plug f(x) into g(x). It is the same as g(f(x)).

g(f(x))=(3x-1)²+4                  [distribute by FOIL]

g(f(x))=9x²-6x+1+4              [combine like terms]

g(f(x))=9x²-6x+5  

Now, we know that (gοf)(x)=9x²-6x+5.

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Fourteen less than five times number is three times a number. Define a variable, write an equation, and solve to find the number
goldenfox [79]
5a-14=3a
-5a      -5a
-14= -2a
----    ----
-2       -2
<span>7=a

a is the variable, </span><span>5a-14=3a and a equals 7.</span>
8 0
3 years ago
What is 15% of "x"<br><br> PLEASE HELP
Greeley [361]

Answer:

  0.15x

Step-by-step explanation:

15% of anything is 15/100 or 0.15 of it. You find that value by multiplying the "anything" by 0.15.

Since we don't know the value of x, the best we can do is show that the number of interest is x multiplied by 0.15.

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4 years ago
Find the equation of a line given the point and slope below. Arrange your answer in the form y = mx + b, where b is the constant
Nana76 [90]

Answer:

Step-by-step explanation:

an equation is :  y = 10x+b

calculate b : this line passes by : (7;1) when x =7  y = 1

so : 10(7)+ b=1

b= -69

so : y = 10x-69

5 0
3 years ago
Read 2 more answers
The circumference of a circle measures 62.8 meters. What is the area of the circle? Remember, pi =3.14 approximately.
motikmotik

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313.84

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6 0
3 years ago
Help me i give 15 points
Alinara [238K]

Annie's Attic does not have a proportional relationship but Bettie's Boutique does. The constant of proportionality at Betty's Boutique is 0.8.

Step-by-step explanation:

Step 1; To have a proportional relationship, if x's value varies, the y's value should also vary. If x increases, y increases correspondingly while if x decreases, y should also decrease.

Step 2; For Annie's Attic, the sale price = Original price - $5.

No matter what the value of the original price, there is only a difference of $5. Even if the price is increased to $100 the discount will only be $5. So this is not a proportional relationship.

Step 3; At Bettie's Boutique, they are having a 20% off sale. Whatever the cost, 20% is reduced. If bought for $15, price is $15 - 20% = $12. If bought for $25, the price will be $25 - 20% = $20.

If the original price is taken as x as the sale price is y, the relationship is given by; y = (100% - 20%) × x = 80% × x = 0.8 × x. So y = 0.8x. Here the constant of proportionality is 0.8.

3 0
4 years ago
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