All categories

3 years ago

1. Given the functions f(x)=3x-4 and g(x)=4x+10, find the value of x for which f(x) = g(x)

Mathematics

2 answers:

wolverine [178]3 years ago

7 0

Answer:

-14

Step-by-step explanation:

It's multiple choice so we could plug in values of x and see which makes f(x)=g(x) true.

What I mean is would could plug in values of x to see which gives us

3x-4=4x+10 is true.

Or we could just solve it.

3x-4=4x+10

Subtract 3x on both sides:

-4=1x+10

-4=x+10

Subtract 10 on both sides:

-14=x

So x=-14 would make f(x)=g(x) hold.

Let's check it and see!

f(-14)=3(-14)-4=-42-4=-46.

g(-14)=4(-14)+10=-56+10=-46.

They have the same value of -46 so x=-14 is certainly going to make f(x)=g(x) be true.

Anika [276]3 years ago

5 0

Answer:

answer is D

Step-by-step explanation:

3x-4=4x+10

3x=4x+14

-1x=14

x= -14

You might be interested in

When salt and water are combined, they form a salt or saline solution. How much ml of water must be added to 150 mL of an 80% sa

Vinvika [58]

Answer:

We must add 400 ml of water.

Step-by-step explanation:

We can use the following equation:

$C_{i}V_{i}=C_{f}V_{f}$

Where:

C(i) is the initial concentration of the solution (80%)
C(f) is the final concentration of the solution (30%)
V(i) is the initial volume (150 ml)
V(f) is the final volume

Now, we just need to solve the equation for V(f).

$V_{f}=\frac{C_{i}V_{i}}{C_{f}}$

$V_{f}=\frac{80*150}{30}$

$V_{f}=400\: ml$

Therefore, we must add 400 ml of water.

I hope it helps you!

3 0

2 years ago

From the ground, a hot-air balloon went up at a speed of 375 feet per minute for 5 minutes. It then went down at a speed of 225

NISA [10]

525 feet is your answer

6 0

3 years ago

Read 2 more answers

Solve for x -3+8×-5=-8

Art [367]

Answer:

x is 0

Step-by-step explanation:

subtract the number 3 5 and 8 then combine like terms and 8 on both sides of the equation then simplify after that divide both sides of the equation by the same term then simplify

5 0

2 years ago

A granola recipe calls for 2 1/3 cups of almonds. A bag of almonds contains 1/4 cups. How many bags will be needed for the recip

Sholpan [36]

9 I think because 1/4 needs to have 4 of those to be a whole so yeah 9.

8 0

3 years ago

What is the slope y=-5<br> what is the slope of y=2x-4<br> what is the slope of 3x-8y=17

const2013 [10]

Answer:

the slope for the first one is 0

the slope for the second one is 2

the slope for the third one is 3/8

Step-by-step explanation:

5 0

3 years ago