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3 years ago

Based on the graph below, what is the total number of solutions to the equation f(x) = g(x)?

Mathematics

2 answers:

Tema [17]3 years ago

8 0

Check the picture below.

myrzilka [38]3 years ago

8 0

<h2>Answer:</h2>

The total number of solutions to the equation f(x) = g(x) is:

Tow solution (2 solution)

<h2>Step-by-step explanation:</h2>

We are given two functions f(x) and g(x).

The solution to the equation:

$f(x)=g(x)$

are the x-values of the point of intersection of the graphs of the two function.

By looking at the graph we observe that the graph of two function intersects at two points (-3,7.5) and (1,0).

Hence, the number of solutions to the equation f(x)=g(x) is: Two solutions.

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A cone is filled to a height of 3 inches with a liquid. The liquid is then poured into an empty cylinder with the same height an

Tasya [4]

Answer: 1 inch

Volume of the cylinder = πr²h

Volume of the cone = 1/3πr²h

If the radius are the same for both the cone and the cylinder, then the liquid will reach 1/3 of its height in the cylinder compared to the cone.

Height = 1/3 x 3 inches
Height = 1 inch

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Answer: The height of the cylinder will be 1 inch.
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3 0

3 years ago

Find the base of a parallelogram with a slant height of 7cm and an perimeter of 63 cm2

vlada-n [284]

Base of parallelogram b = 24.5 cm

Step-by-step explanation:

We are given:

Perimeter =P= 63 cm^2

Slant Height =a= 7 cm

Base of Parallelogram =b= ?

The formula used is:

$Perimeter = 2(a+b)$

where a is height and b is base

Putting values:

$Perimeter = 2(a+b)\\63=2(7+b)\\63=14+2b\\2b=63-14\\2b=49\\b=\frac{49}{2}\\b=24.5$

So, Base of parallelogram b = 24.5 cm

Keywords: Perimeter of Parallelogram

Learn more about Perimeter of Parallelogram at:

#learnwithBrainly

5 0

3 years ago

Solve 169x^2-42.25=0 by using square roots?<br><br> NEED HELP!!!

jekas [21]

Answer:

x = 1/2 , x = -1/2

Step-by-step explanation:

Given equation;

169x² - 42.25

Find:

Solution of equation using square root

Computation:

169x² - 42.25

We know that 13² = 169 and 6.5² = 42.25

So,

[13x]² - [6.5]²

a² - b² = (a + b)(a - b)

So,

[13x]² - [6.5]² = [13x + 6.5][13x - 6.5]

So,

13x + 6.5 = 0 , 13x - 6.5 = 0

x = 6.5 / 13 , x = -6.5 / 13

x = 1/2 , x = -1/2

5 0

2 years ago

A group of four friends goes to the movies. Each friend pays for a ticket, a snack, ana

kvv77 [185]

Answer:4(1.5)

Step-by-step explanation:

5 0

3 years ago

Can someone solve this Im to lazy !

Sladkaya [172]

Not impressed that you consider yourself "too lazy" to at least get started on the solution of this problem. Why not "give it the old college try?"

Start by choosing letters to represent the unit cost of each popcorn and drink:
p: popcorn, d: drink.

Then 2p + 3d = $22.25 and 12p+4d=$39.00
Note that the unit of measurement of all 6 terms here is " $ ".

Solve this system of linear equations simultaneously:

2p + 3d = $22.25
12p+4d=$39.00

In your shoes I would mult. the first equation by -6 and then combine the result with the second equation. p will temporarily disappear, and you'll be left with an equation in d only, enabling you to find the unit cost of a drink.

Come on. Show your stuff. You'll need to respond through Comments.

7 0

3 years ago