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2 years ago

Help me please im trying to do this but dont understand it at all.

Mathematics

1 answer:

Umnica [9.8K]2 years ago

5 0

The attached graph represents the graph of the function g(x)

<h3>How to determine the function g(x)?</h3>

The function f(x) is an absolute value function.

An absolute value function is represented as:

y = a|x - h| + k

Where

Vertex = (h, k)

From the graph, we have:

(h, k) = (-3, -2)

So, we have:

y = a|x + 3| - 2

Also, we have:

(x, y) = (-1, 0)

So, we have:

0 = a|-1 + 3| - 2

This gives

0 = 2a - 2

Solve for a

a = 1

Substitute a = 1 in y = a|x + 3| - 2

y = |x + 3| - 2

This means that

f(x) = |x + 3| - 2

We have:

g(x) = 2f(x)

This means that:

g(x) = 2(|x + 3| - 2)

So, we have:

g(x) = 2|x + 3| - 4

See attachment for the graph of g(x)

Read more about absolute value functions at:

brainly.com/question/10664936

#SPJ1

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Aaron and Rachel can clear the weeds out of their vegetable garden in 2 hours if they work together. If Aaron works alone, it wi

GuDViN [60]

Answer:

c. 10/3 hours

Step-by-step explanation:

Let's make a table.

Names:| Times completed in:| Field Space Covered:| Rate the field was . covered:

Aaron | 5 hours | 1 field | 1/5 field space/hour

Rachel | x hours | 1 field | 1/x field space/hour

Together| 2 hours | 1 field | 1/2 field space/hour

The 1 field represents that they covered the whole field.

The rate is found by dividing field space covered by amount of hours it took for them to cover it.

There rates individually should add up to the "together" rate.

$\frac{1}{5}+\frac{1}{x}=\frac{1}{2}$

Clear fractions by multiplying both sides by $5 \cdot 2 \cdot x=10x$ on both sides:

$10x \cdot \frac{1}{5}+10x \cdot \frac{1}{x}=10x \cdot \frac{1}{2}$

$2x+10=5x$

Subtract 2x on both sides:

$10=3x$

Divide both sides by 3:

$\frac{10}{3}=$

x represented the amount of time it took Rachel alone to cover 1 field.

10/3 hours is the answer.

4 0

3 years ago

Select True or False.

Lyrx [107]

The expression is False the correct answer would be: −x+12

3 0

3 years ago

Read 2 more answers

Sin15°+tan65°=cot25°+cos75°

kifflom [539]

Step-by-step explanation:

L.H.S =

sin15°+tan65°

sin(90°-75°)+tan(90°-25°)

cos75°+cot25°

or; cot25°+ cos75°. R.H.S

6 0

2 years ago

I need help with these questions

Rufina [12.5K]

This question is a rather odd way to ask you to find the radius of a circle from its area.

A = π r²

40000 = π r²

r² = 40000/π

r = √(40000/π)

r ≈ 112.8379

Answer: 113 miles

C = 2 π r

754 = 2 π r

r = 754/2π = 377/π

A = π r² = A = π (377/π)² = 377²/π

A ≈ 45241.0658

Answer: 45241 square miles

5 0

3 years ago

Learning task 2

patriot [66]

The given equations are

$2x-3y=-1\cdots(i) \\\\y=x-1\cdots(ii)$

(a) Solution by graphing both the equations:

Graph for both the equations (i) and (ii) are in the figure. The point of intersection of both the graph is the solution of the equations.

From the graph, the point of intersection is (4,3)).

Hence, the required solution is (4,3).

(b) Solution by elimination method:

Equations (ii) can be written as -x+y=-1, now multiply it by 2, we have

$-2x+2y=-2\cdots(iii)$

Add equations (i) and (iii), we have

2x-3y=-1

-2x+2y=-2

__________

$\Rightarrow -3y+2y=-1-2\\\\ \Rightarrow -y=-3\\\\ \Rightarrow y=3.$

Putting the value of y=3 in equation (i), we have

$2x-3\times 3=-1 \\\\\Rightarrow 2x=-1+9=8 \\\\\Rightarrow x=8/2=4$

Hence, the required solution is (4,4).

(c) Solution by substitution method:

Substituting the value of y from equation (ii) to equation (i), we have

$2x-3(x-1)=-1 \\\\\Rightarrow 2x-3x+3=-1 \\\\\Rightarrow -x=-1-4=-4 \\\\\Rightarrow x=4$

Putting the value of x=4 in equation (i), we have

$y=4-1=3$ .

Hence, the required solution is (4,3).

3 0

3 years ago