Given the functions: f(x) = 4x + 8 and g(x) = 2x - 12,
1. Find 2f(x) + 3g(x)
X+
2. Find f(x) · g(x)
I
1x² +
X +

Lets simplify

[tex]\\ \sf\longmapsto \dfrac{x}{3}=-7.\dfrac{x}{3}[/tex]

[tex]\\ \sf\longmapsto \dfrac{x}{3}=\dfrac{-7x}{3}[/tex]

[tex]\\ \sf\longmapsto -7[/tex]

Hence its not a fraction

Answer:

the answer is C

Step-by-step explanation:

its making write more so yeah

Answer:

x=6.5

Step-by-step explanation:

subtract 3.5 from 10 and it gives you 6.5

:)

hope its helps l got it from https://www.cymath.com/ its good for math solving.

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Answer:

f(x) = - [tex]\frac{5}{4}[/tex] x + 2

Step-by-step explanation:

Note that y = f(x)

Rearrange making y the subject

- 5x - 4y = - 8 ( add 5x to both sides )

- 4y = 5x - 8 ( divide terms by - 4 )

y = - [tex]\frac{5}{4}[/tex] x + 2 , that is

f(x) = - [tex]\frac{5}{4}[/tex] x + 2

Answer:

7 - 51

Step-by-step explanation:

additive inverse : a number that when added to a given number gives zero the additive inverse of 4 is −4 

Answer:

D

Step-by-step explanation:

its not a because 12 is the greatest because its closest to zero

it not b because 24 is farthest from zero not 20

and its not c because 12 goes after 20 not 12,20

so the answer is d

Answer:

-2

Step-by-step explanation:

Answer:

a.

Step-by-step explanation:

Not defined

May be iylt help you

Answer:

C

Step-by-step explanation:

Matrices can be multiplied together if the number of columns in the first matrix equals the number of rows in the second matrix.

A is of order (3 × 2) and B of order (2 × 3 )

Since the 2 in the first and the 2 in the second match , the matrices can be multiplied

The resulting matrix is of order (3 × 3 )

This is obtained from the first 3 in order of A and the second 3 in order of B

Then AB is defined and the resultant matrix is of order 3 × 3

Answer:

[tex]\displaystyle \frac{ 1 }{3} [/tex]

Step-by-step explanation:

we would like to compute the following limit:

[tex]\displaystyle \lim_{n \to \infty } \frac{ \sqrt{4 {n}^{2} + 3n } }{6n} [/tex]

if we compute the limit from numerator to denominator directly,we'd end up with

[tex] \dfrac{ \infty }{ \infty } [/tex]

which is an indeterminate form so we must do it in a different way. well to compute this limit,we can consider factoring method . notice that we can factor the numerator and that yields

[tex]\displaystyle \lim_{n \to \infty } \frac{ \sqrt{ {n}^{2} ( 4 {}^{} + \frac{3}{n} )} }{6n} [/tex]

remember that ,

thus we acquire:

[tex]\displaystyle \lim_{n \to \infty } \frac{ {n} \sqrt{ ( 4 {}^{} + \frac{3}{n} )} }{6n} [/tex]

reduce fraction:

[tex]\displaystyle \lim_{n \to \infty } \frac{ {} \sqrt{ 4 {}^{} + \frac{3}{n} } }{6} [/tex]

as n approaches to ∞ ,3/n approaches to 0 which yields:

[tex]\displaystyle \frac{ \sqrt{ 4 {}^{} } }{6} [/tex]

simplify square root:

[tex]\displaystyle \frac{ 2 }{6} [/tex]

reduce fraction:

[tex]\displaystyle \frac{ 1 }{3} [/tex]

hence,

[tex]\displaystyle \lim_{n \to \infty } \frac{ \sqrt{4 {n}^{2} + 3n } }{6n} = \boxed{ \frac{1}{3} }[/tex]

and we're done!

Answer:

[tex]x = - \frac{45}{2} [/tex]

Step-by-step explanation:

[tex] \frac{1}{2} x - \frac{1}{4} = \frac{3}{5} x + 2[/tex]

[tex]20( \frac{1}{2} x - \frac{1}{4} ) = 20( \frac{3}{5} x + 2)[/tex]

[tex]20 \times \frac{1}{2} x - 20 \times \frac{1}{4} = 20( \frac{3}{5} x + 2)[/tex]

[tex]10x - 20 \times \frac{1}{4} = 20 \times \frac{3}{5} x + 20 \times 2[/tex]

[tex]10x - 5 = 20 \times \frac{3}{5} x + 20 \times 2[/tex]

[tex]10x - 5 = 4 \times 3x + 20 \times 2[/tex]

[tex]10x - 5 = 4 \times 3x + 40[/tex]

[tex]10x - 5 - 12x = 40[/tex]

[tex]10x - 12x = 40 + 5[/tex]

[tex] - 2x = 40 - 5[/tex]

[tex] - 2x = 45[/tex]

[tex]x = - \frac{45}{2} [/tex]

Answer:

two out of 30

30 x 6 = 180

2 x 6 = 12

if 2 out of 30 are defective, and there are 180 total, 12 should be expected to be defective

Step-by-step explanation:

Answer:

The value of A=7

The value of B=2

SEMOGA MEMBANTU

Answer:

4.3 meters per second

Step-by-step explanation:

55.9 meters ÷ 13 seconds

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 13

Answer:

[tex]1 \frac{5}{8}[/tex]

Step-by-step explanation:

To figure out this problem we need to divide 6 1/2 by 4.

Convert any mixed numbers to fractions. Then your initial equation becomes:

[tex]\frac{13}{2} \div \frac{4}{1}[/tex]

Applying the fractions formula for division:

[tex]= \frac{13 \times 1}{2 \times 4}[/tex]

[tex]= \frac{13}{8}[/tex]

Simplifying 13/8, the answer is:

[tex]= 1 \frac{5}{8}[/tex]

-22d + 22c

Step-by-step explanation:

The expression for the perimeter of the rectangle is 2(11c - 11d)

Perimeter of a rectangle = 2(length + width)

Length = 3c - 9d

Length = 3c - 9d Width = 8c - 2d

The expression for the perimeter can be expressed thus :

2(3c - 9d + 8c - 2d)

Collect like terms :

2(3c + 8c - 9d - 2d)

2(11c - 11d)

Hence, the expression for the perimeter of the rectangle is 2(11c - 11d)

Learn more : https://brainly.com/question/2142493?referrer=searchResults

Answer:

720 minutes

Step-by-step explanation:

Total phone bill = $127.95

Service plan fee = $19.95

Total cost per minute = 127.95 - 19.95

= $108.00

No. of minutes used = Total cost per minute / Rate per minute

= 108.00 / 0.15

= 720 minutes

Step-by-step explanation:

0.376

(In expanded form)

= 0 × 1 + 3 × 1/10 + 7 × 1/100 + 6 × 1/1000

Answer:

0 × 1 + 300 × 1/10 + 70 × 1/100 + 6 × 1/1000

Answer:

Alice hit 10 home runs.

Peter hit 8 home runs.

Step-by-step explanation:

Let [tex]p[/tex] be the number of home runs Peter hit.

Let [tex]a[/tex] be the number of home runs Alice hit.

[tex]p=2(a-6)\\a+p=18\\\\a+2(a-6)=18\\a+2a-12=18\\a+2a=30\\3a=30\\a=10\\\\a+p=18\\10+p=18\\p=8\\\\p=2(a-6)\\8=2(10-6)\\8=2(4)\\8=8[/tex]

Answer:

-2

Step-by-step explanation:

-5 - (-3)

-5 + 3

= -2

Answer:

21cm

Step-by-step explanation:

for every 1m, it is 6cm on the paper. thus, your answer would be 3.5÷1 which is 3.5

then multiply 3.5 by 6 which is 21

Answer: The domain is 3/7, -6, and 4.

Step-by-step explanation:

In the case of rational expressions, we can input any value except for those that make the denominator equal to 0 (since division by 0 is undefined). In other words, the domain of a rational expression includes all real numbers except for those that make its denominator zero.

As the other answer mentioned, x = -6 and x = 4 are not in the domain, since they both make the denominator equal to zero, and thus the overall expression undefined. But x = 3/7 is allowed, since f (3/7) = 0.

Every other real number is also acceptable.

In interval notation, the domain is then

[tex](-\infty,-6) \cup (-6,4) \cup (4, \infty)[/tex]

Answer:

I think purple is 50% green 30% and orange 20%. sorry if I get it wrong

Answer:

d is your answer

Step-by-step explanation:

because ii need points thanks

Answer:

division

Step-by-step explanation:

you need to get x by its self. so divide by 5 on both sides and get x = 2

Answer:

3times 2 + 6=12

Step-by-step explanation:

Answer:

hold up wah

Step-by-step explanation: