Let f(x)=3x2−5x+13 and g(x)=2x−7 . What is g(f(x)) ?

Mathematics

1 answer:

Debora [2.8K]2 years ago

6 0

G(f(x))=2(3x^2-5x+13)-7
G(f(x))=6x^2-10x+26-7
G(f(x))=6x^2-10x+19 =>A

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PLSS help me with this and show your work

hodyreva [135]

hii

3x-1/5=x+1/3

3[3x-1]=5[x+1]

9x-3=5x+5

9x-5x=5-3

4x=2

x=2/4

x=1/2

HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN

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2 years ago

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(4x + 17)<br> What is the measure of AC ?<br> Enter your answer in the box.<br> (4x – 3.5)

Natasha2012 [34]

Answer: $AC=41\°$

Step-by-step explanation:

<h3> The complete exercise is attached.</h3>

For this exercise it is important to remember that, by definition, if an angle formed by two intersecting chords has its vertex on a circle, this is called an "Inscribed angle".

The following formula is used to calculate the measure of an Inscribed angle:

$Inscribed\ angle = \frac{1}{2}\ Intercepted\ Arc$

You can identify in the figure that:

$Inscribed\ angle=ABC=(4x -3.5)\\\\Intercepted\ Arc=AC=(4x + 17)$

Then you can substitute values into the formula and solve for "x":

$(4x -3.5)= \frac{1}{2}(4x + 17)\\\\8x-7=4x+17\\\\4x=24\\\\x=6$

Then, AC is:

$AC=(4(6)+ 17)\\\\AC=24+17\\\\AC=41\°$

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3 years ago

Question:

kykrilka [37]

What we know:
- number of meeting rooms = m
- chairs in each meeting room = 325

Since we need an equation to represent the number of chairs in m meeting rooms, we would multiply the amount of chairs per meeting room (325) by m. This amount is c. So the equation becomes:

c = 325m

Now the question asks for the amount of chairs if there are 7 meeting rooms in the hotel. To find this, substitute 7 for m into c = 325m.

c = 325m
c = 325(7)
c = 2275

Answer:
The equation is c = 325m, and the amount of chairs if m equals 7 is 2,275.

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2 years ago

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damaskus [11]

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