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Korolek [52]
4 years ago
8

Evaluate the indicated function for f(x)=x^2-7 and g(x) =x-2

Mathematics
1 answer:
enyata [817]4 years ago
7 0

Answer:

f(g(x))=(x-2)^2 - 7

(x-2)(x-2) - 7

x^2-2x-2x+4-7

x^2-4x-3

g(f(x))=x^2-2-7

x^2-9

(x+3)(x-3)

Step-by-step explanation:

  1. to solve for f(x), replace x with the g(x).
  2. since we don't multiply a bracket with the negative or the positive signs to the
  3. exponent, you have to factor into two binomials.
  4. use the FOIL method to eliminate the brackets.
  5. add like-terms

  • to find g(x), replace x with the f(x).
  • add like-terms
  • since there's difference of square, factor them into two binomials
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PLEASE HELPPPPP PLEASE 40 POINTS
Contact [7]

Answer:

  1. 18x - 9 = 72
  2. 3(6x - 3) = 72
  3. x = 45

Step-by-step explanation:

Apply the distributed property:

  1. Apply the distributed property: 3/5 × 30x = 18x, 3/5 × 15 = 9
  2. Re-write the equation: 18x - 9 = 72
  3. 18x - 9 = 72 is an option listed, so that's one of the answers.

See the other options:

  1. Another option that looks like it could be the answer is 3(6x - 3) = 72
  2. Apply the distributed property like we did above, so it now looks like this: 18x - 9 = 72
  3. This is the same as what we got above, so it is also an answer.

Solve:

  1. Add 9 to each side, so it now looks like this: 18x = 81
  2. Divide each side by 18 to cancel out the 18 next to x. It should now look like this: x = 4.5
  3. x = 45 is an option listed, so that's one of the answers.

I hope this helps!

6 0
3 years ago
Read 2 more answers
The point (6, n) lies on the circle whose equation is (x − 1)2 + (y − 5)2 = 50. Find the values of n
julsineya [31]

Answer:

n = 0 or 10

Step-by-step explanation:

From the question,

Equation of the circle = (x-1)²+(y-5)² = 50 ............... Equation 1

Coordinate of the circle = (6,n)

From the question

x = 6, y = n

Substitute the value of x and y into equation 1

(6-1)²+(n-5)² = 50

5²+(n-5)² = 50

25+(n-5)² = 50

(n-5)² = 50-25

(n-5)² = 25.

Solving for n

n-5 = √(25

n-5 = ±5

Either,

n-5 = -5

n = -5+5

n = 0

or

n-5 = +5

n = 5+5

n = 10

4 0
3 years ago
Read 2 more answers
Asanji left the science museum and drove toward the lake at an average speed of 45 km/h. Sometime later Huong left driving in th
Cloud [144]

Answer:

Asanji drove for 5 hours before Huong caught up

Step-by-step explanation:

Let the time for which Asanji drove alone is "X" hours

Asanji and Huong met after three hours of driving of Huong.

Total time for which Asanji drove = X+3 hours

Thus, distance travelled by Asanji in X+3 hours is equal to distance travelled by Huong in 3 hours

45 ( X+3) = 75 (3)\\

On solving the above equation, we get -

45 X + (45 *3) = 75 *3\\45 X = (75-45)*3\\45 X = 30 *3 \\X = \frac{30 *3}{45} \\X = 2

Asanji drove for 3 + 2 = 5 hours before Huong caught up

8 0
3 years ago
If you 12 marshmallows to each 5 bags of marshmallows, and each bag started with the same number of marshmallows, the total numb
Nonamiya [84]
5x + 60


hope this helps
4 0
4 years ago
3a+4+b+2a+5+b Simplify the expression?
MissTica

Answer:

5a+2b+9

Step-by-step explanation:

Given expression:

3a+4+b+2a+5+b

In order to simplify the given expression, we will first group the like terms.

3a+2a+b+b+4+5

Then we combine the like terms,

3a+2a=5a\\b+b=2b\\5+4=9

The terms combined can be written as:

5a+2b+9 (Answer)

7 0
4 years ago
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