All categories

3 years ago

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

Mathematics

1 answer:

just olya [345]3 years ago

8 0

Answer:

3^x -2x +14

Step-by-step explanation:

I will assume you mean 3^x in the function f(x)

f(x) = 3^x+ 10

g(x) = 2x - 4

(f - g)(x) = 3^x+ 10 - (2x - 4)

Distribute the minus sign

= 3^x+ 10 - 2x + 4

= 3^x -2x +14

You might be interested in

Someone plz help this is due today

-Dominant- [34]

3x+5x+1=17

x=2

y=5•2+1

y=1

(x, y)=(2, 11)

3x+2(4x+5)=43

x=3

y=4•3+5

y=17

(x, y)=(3, 17)

I think I did it right and I hope I helped you

3 0

2 years ago

. (02.05 MC) Side AB = 5, side BC = 6, side DE = 5, and side EF = 6. What additional information would you need to prove that ΔA

vaieri [72.5K]

Answer:

Side AC is congruent to side DF

Step-by-step explanation:

We are given that

Side AB=5 cm

BC=6 cm

Side DE=5 cm

Side EF= 6cm

We have to find an additional information would need to prove that $\triangle ABC\cong \triangle DEF$ by SSS.

When two triangles are congruent by SSS it means three sides of one triangle are congruent to corresponding sides of other triangle.

We have in triangle ABC and triangle DEF

$AB\cong DE=5 cm$

$BC\cong EF=6 cm$

$AC\cong DF$

Then , $\triangle ABC\cong \triangle$ DEF

Reason: SSS postulates

Answer: Side AC is congruent to side DF

8 0

3 years ago

Sheila has 12 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 2 1/4 pounds

NeX [460]

Answer:

6 containers needed

Step-by-step explanation:

Given

$Total = 12\frac{1}{2}\ lb$ ----- Size

$Container = 2\frac{1}{4}\ lb$ ----- Size

Required

Determine the number of containers needed

This question illustrates the knowledge of fraction and division.

To get the number of containers needed, we simply divide the total size by the size of the container as follows;

$Number = Total/Container$

$Number = 12\frac{1}{2}/2\frac{1}{4}$

Convert to improper fractions

$Number = \frac{25}{2}/\frac{9}{4}$

$Number = \frac{25}{2}*\frac{4}{9}$

$Number = \frac{100}{18}$

$Number = 5.5555556$

$Number = 6$ --- Approximated

4 0

3 years ago

Larry's Lemons is a street vendor business that sells lemonade and lemon bars. A cup of lemonade sells for $2 and a lemon bar se

maxonik [38]

We can let x and y represent cups of lemonade and numbers of lemon bars, respectively. Then the constraints are ...

x ≥ 150
y ≥ 0
2x +1.5y ≥ 500
0.25x +0.20y ≤ 100

A graph is shown in the attachment, with the ordered pairs plotted. It is not feasible to sell half cups of lemonade or half lemon bars, so the second and third choices must be excluded. The point (160, 110) falls outside the feasible region, so is not a correct choice.

The correct choices are ...

(150, 200)
(180, 100)

8 0

3 years ago

In triangle MPQ points N and R are located on sides MP and QP with NR drawn. which set of measurements below would justify that

NNADVOKAT [17]

The answer is number 1. Because 12/10 =20/18 is a true statement. None of the others are true

6 0

2 years ago