If f(x) = 3X + 10 and g(x) = 2x – 4, find (f- g)(x).

Answers

Answer 1

Answer: So (f-g)(x) is f(x)-g(x) so you have

(3x+10)-(2x-4)

Distribute the negative in to the 2x-4 to get

3x+10-2x+4

Then combing like terms you have

3x-2x+10+4

And then that gives you

x+14

So (f-g)(x)=x+14

Hope this helps!! Mark as brainliest!!!!

Related Questions

The difference between a number and seven is less than or equal to -3
If the discriminant of a quadratic equation is equal to -8, which statement describes the roots?A.) There are two complex roots. B.) There are two real roots. C.) There is one real root. D.) There is one complex root.
The Pythagorean theorem can be used to find a missing length of any triangle. True False
GEOMETRYPLEASE HELP ASAPEXTRA POINTSThe Frostburg-Truth bus travels from Frostburg Mall through the city's center to Sojourner Truth Park. The mall is 4 miles east and 5 miles north of the city's center. Truth Park is 4 miles west and 2 miles south of the city's center. How far is it from Truth Park to the mall to the nearest tenth of a mile?Select one:a. 10.6 milesb. 6.4 milesc. 4.5 milesd. 3 miles
Find the value of 7 then what is the value of the expression -3b2+25

The nth term of a series is represented by an=2^n/5^n+1 ⋅n . George correctly applies the ratio test to determine whether the series converges or diverges. Which statement reflects George's conclusion? From the ratio test, r = 0.4. The series diverges.

From the ratio test, r = 0.4. The series converges.

From the ratio test, r = 4. The series converges.

From the ratio test, r = 4. The series diverges.

Answers

Answer: From the ratio test, r = 0.4. The series converges.

The given term is: $a_(n)=(2^(n))/(5^(\left(n+1\right)))\cdot n$

So the next term is = $a_(n+1)=(2^(\left(n+1\right)))/(5^(\left(n+2\right)))\cdot\left(n+1\right)$

The ratio test is :

$lim_(n\to\infty)\left|(a_(n+1))/(a_(n))\right|=lim_(n\to\infty)\left|(2^(\left(n+1\right)))/(2^(n))\cdot(5^(\left(n+1\right)))/(5^(\left(n+2\right)))\cdot(\left(n+1\right))/(n)\right|$

$lim_(n\to\infty)\left|(a_(n+1))/(a_(n))\right|=lim_(n\to\infty)\left|2\cdot(1)/(5)\cdot(\left(n+1\right))/(n)\right|$

$lim_(n\to\infty)\left|(a_(n+1))/(a_(n))\right|=(2)/(5)lim_(n\to\infty)\left|1+(1)/(n)\right|$

$lim_(n\to\infty)\left|(a_(n+1))/(a_(n))\right|=(2)/(5)\left(1+0\right)$

$lim_(n\to\infty)\left|(a_(n+1))/(a_(n))\right|=0.4$

Since 0.4 < 1 so the series converges.

Learn more: brainly.com/question/1214333

Answer: Choice B) r = 0.4; series converges

========================================

Explanation:

Check out the attached image below to see the steps on how I computed r.

The value you should get is r = 0.4

Since r is less than 1, the series converges.

---------

Extra info:

If r > 1, then the series would diverge.

If r = 1, then the series may diverge, conditionally converge, or absolutely converge. Another test would be needed if you get r = 1.

A bag contains 6 red jelly beans, 4 green jelly beans, and 4blue jelly beans. If we choose a jelly bean, then another jelly bean without putting the first one back in the bag, what is the probability that the first jelly bean will be green and the second will be red?

Answers

The probability of picking a green jelly bean with the first pick is 4/14 = 2/7, because there are 14 jelly bean in total (6 red + 4 green + 4 blue) and 4 of them are green.

If you pick a green jelly bean at the beginning, you have 13 jelly beans remaining, of which 6 are red. So, the probability of picking a red jelly bean is now 6/13.

You want these two events to happen one after the other, to be more precise you want to pick a green jelly bean with the first pick AND a red jelly bean with the second pick. We know the probabilities of the two events, so we have to multiply them to get the probability of them happening both:

$(2)/(7)\cdot(6)/(13)=(12)/(91)$

For every 2 blocks Raevan jogs, she walks1 block, Raevan wants to cover a distance of
36 blocks today. How many blocks will she jog?

Answers

Answer:

I believe she will jog 18 blocks.

Step-by-step explanation:

If a translation maps point (3, 2) to (4, 5); or T : (3, 2) (4, 5), indicate the image for (2, 4).

Answers

A translation :
T : ( 3 , 2 ) → ( 4, 5 )
T : ( x, y ) → ( x + 1, y + 3 )
2 + 1 = 3
4 + 3 = 7
Answer:
The image for ( 2, 4 ) is ( 3, 7 ).

Log2 + log(4x-1) = 3

Answers

remember
logx+logy=log(xy) so
log2+log(4x-1)=log2(4x-1)=log8x-1
since no base is mentioned, it it base 10

now we have
log 8x-2, base 10=3
means
10 must be raised to the 3rd power to get 8x-2
therfor
10^3=8x-2
1000=8x-2
1002=8x
divide 8 both sides
125.25=x

x=125.25

10^2.7=4x-1
(10^2.7+1)/4=x
x=125.55

Sophia is making tomato sauce. She adds 12 grams of her secret ingredient to each liter of sauce she prepares. If she has 4 grams of her secret ingredient, how many liters of sauce can she make?