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3 years ago

Given f(x) = 2x² + 8x - 4 and g(x) = 5x +6, find 3f(x) – 2g(x).

Mathematics

1 answer:

myrzilka [38]3 years ago

7 0

Step-by-step explanation:

When the problem says 3f(x), it means that you are multiplying f(x) by 3. The same goes for 2g(x).

$3(2x^2+8x-4)= 6x^2+24x-12$

$2(5x+6) = 10x+12$

Now, we subtract f(x) from g(x) after being multiplied.

$(6x^2+24x-12)-(10x+12)$

$6x^2+14x-24$

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There are 32 students in a class. Of the class, 3/8 of the students bring their own lunches. How many students bring their lunch

OverLord2011 [107]

Answer:

The number of students that bring their lunches is 12

Step-by-step explanation:

Let

x -----> the number of students that bring their lunches

y -----> the total number of students in a class

we know that

The number of students that bring their lunches divided by the total number of students in a class must be equal to 3/8

$\frac{x}{y}=\frac{3}{8}$

$x=\frac{3}{8}y$ -----> equation A

$y=32$ -----> equation B

substitute the value of y in equation A and solve for x

$x=\frac{3}{8}(32)$

$x=12$

therefore

The number of students that bring their lunches is 12

6 0

3 years ago

56% of ___ is 84.<br> Explain your method.

AnnyKZ [126]

150% of 84 i believe lol .

8 0

3 years ago

Read 2 more answers

Suppose △PKN≅△BGH△PKN≅△BGH. Which other congruency statements are correct? Select each correct answer. △NKP≅△HBG△NKP≅△HBG △KPN≅△

NeTakaya

Answer:

△NPK≅△HBG; and △KNP≅△GHB

Explanation:

Using the given congruence statement, we can determine corresponding pieces of the triangles:

P corresponds to B; K corresponds to G; and N corresponds to H.

This means that △NKP≅△HGB, not HBG.

△KPN≅△GBH, not BHG.

△NPK≅△HBG; this is correct.

△KNP≅△GHB; this is correct.

8 0

3 years ago

What is 500 x 50, 000

kogti [31]

Answer is 25,000,000

6 0

3 years ago

5(2x−3) Simplify the Expression

jarptica [38.1K]

Answer:

$10x−15$

Step-by-step explanation:

$5(2x−3)$

$5(2x)+5( −3)$

$10x+5(−3)$

$10x−15$

<h3>Hope it is helpful....</h3>

6 0

3 years ago