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2 years ago

How does the graph of the function g(x)=2^x-4 differ from the graph of f(x)=2^x

Mathematics

1 answer:

VARVARA [1.3K]2 years ago

8 0

Answer:

The graph of g(x) is the graph of f(x) moved down 4 units.

Step-by-step explanation:

Subtracting a function by a constant:

Subtracting a function by a constant x is the same as moving the function down x units.

In this question:

$f(x) = 2^x$

$g(x) = 2^x - 4$

Thus, the graph of g(x) is the graph of f(x) moved down 4 units.

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-7m+4< -45 for solving an inequality

worty [1.4K]

Solving the inequality $-7m+4< -45$ we get $m>7$

Step-by-step explanation:

We need to solve the inequality: $-7m+4< -45$

Solving:

$-7m+4< -45$

Adding -4 on both sides:

$-7m+4-4< -45-4$

$-7m< -49$

Divide both sides by -7 and reverse the inequality:

$\frac{-7m}{-7}>\frac{-49}{-7}$

$m>7$

So, solving the inequality $-7m+4< -45$ we get $m>7$

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

4 0

3 years ago

What is 3×3/4 and what is the strategy behind it

sergejj [24]

I believe the answer is 9.

7 0

3 years ago

Read 2 more answers

In a school of 685 students, there are 385 students involved in sports teams, and there are 450

Cerrena [4.2K]

Answer: a) see image (below)

b) S ∩ M = 237

c) S U M = 598

<u>Step-by-step explanation:</u>

b) Total students = 685

Not sports or music = 87

Sports Total = 385

Music Total = 450

Both Sports and Music is their intersection:

S ∩ M = S + M + N - T

= 385 + 450 + 87 - 685

= 237

c) Sports only = S - (S ∩ M)

= 385 - 237

= 148

Music only = M - (S ∩ M)

= 450 - 237

= 213

Sports OR Music is their union:

S U M = S + M - (S ∩ M)

= 385 + 450 - 237

= 598

7 0

3 years ago

Solve the following system. y = (1/2)x 2 + 2x - 1 and 3x - y = 1 The solutions are ( )and ( ) (remember to include the commas)

frozen [14]

$\begin{cases}y=\dfrac{1}{2}x+2x-1\\3x-y=1\end{cases}\\\\\\
\begin{cases}y=\dfrac{5}{2}x-1\3x-y=1\end{cases}\\\\\\
3x-\left(\dfrac{5}{2}x-1\right)=1\\\\3x-\dfrac{5}{2}x+1=1\\\\
3x-\dfrac{5}{2}x=0\\\\\dfrac{x}{2}=0\\\\x=0\\\\3\times0-y=1\\0-y=1\\y=-1\\\\\boxed{(x,y)=(0,-1)}$

<span>The solutions are (0) and (-1)</span>

8 0

2 years ago

Read 2 more answers

In cubic meters, what is the total volume of seawater needing to be displaced in order to lift the sailboat to the surface

Mariana [72]

Answer: 2.75m^3

Step-by-step explanation:

6 0

3 years ago