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3 years ago

How many solutions does the system of nonlinear equations graphed below have?

Mathematics

1 answer:

astra-53 [7]3 years ago

7 0

Answer: Look at the number of points where the graphs intersect each other...the points where the graphs of the functions cross each other are the solutions to the system.

Upon looking, you should see 4 points where the graphs intersect, so there are 4 solutions to the non-linear system of equations.

Step-by-step explanation:

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Below is the graph of y=b^x. Find b.

omeli [17]

Y = b^x

when x = 1
y = b^1
y = b

Therefore, the value of b is the same as the value of y when x =1
From the graph,
When x = 1, y = 0.5
Therefore, b = 0.5

To confirm this

From the graph,

When x = -1, y = 2
Since y = b^x
2 = b^-1
2 = 1/b
2b = 1
b = 0.5

When x = -2, y = 4
Since y = b^x
4 = b^-2
4 = 1/(b^2)
b^2 = 1/4
b = √(1/4)
b = 1/2
b = 0.5

Therefore, it is conformed that b = 0.5

5 0

3 years ago

Read 2 more answers

What is the length of the cylinder's height? Please help

raketka [301]

Answer:

Height = 9 cm which means Option C is the answer

Step-by-step explanation:

In the question we are given ,

Volume of cylinder = 225π cm³

Radius of cylinder = 5 cm

And , we have to find the height of cylinder .

We know that ,

$\longrightarrow \pink{ \boxed{Volume \: of \: Cylinder = \pi r {}^{2}h }} \longleftarrow$

Our solution starts from here :

$\longmapsto \: \pi \: r {}^{2} h = 225\pi$

Step 1 : Cancelling π with π :

$\longmapsto \: \cancel{\pi} \: r {}^{2} h = 225 \cancel{\pi}$

Step 2 : Substituting value of radius which is 5 cm in the formula :

$\longmapsto \: (5) {}^{2} \times h = 225$

$\longmapsto \: 25h = 225$

Step 3 : Transposing 25 to right hand side :

$\longmapsto \: h = \frac{225}{25}$

Step 4 : Cancelling 225 by 25 :

$\longmapsto \: \red{\boxed{h = 9 \: cm}}$

Henceforth , height of cylinder is 9 cm

<h2 /><h2>#Keep Learning</h2>

8 0

2 years ago

The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high,

max2010maxim [7]

Answer:

This was in 2019 hope they solved it..

Step-by-step explanation:

5 0

3 years ago

The length of a rectangle is 5 more than 3 times the width. Write and solve an equation to find the width (w) if the length is 1

GenaCL600 [577]

Answer:

Length = 42.5 cm

Step-by-step explanation:

length of rectangle = 5 + 3w

So l = 5 + 3w where w = 12.5

Equation:

L = 5 + 3(12.5)

Solving the Equation:

L = 5 + 3(12.5)

L = 5 + 36 + 1.5

L = 42.5

Length: 42.5 cm

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

4 0

3 years ago

Factor completely 36x2− 121.

lesantik [10]

The expression 36x² - 121 is in the 'difference of two squares form' which is (a² - b²)

Factorising (a² - b²) gives (a+b)(a-b)

Factorising 36x² - 121 gives (6x+11)(6x-11)

6 0

3 years ago