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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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Can someone check if this is right please? If not what is the correct way?

Charra [1.4K]

A, B, and C are the coefficients. They are not the terms as you have written now.

A quadratic equation is in the form Ax^2 + Bx + C. Therefore, A = 1, B = 8, and C = -6.

The axis of symmetry is found using the equation -b/2a, as you've done. Therefore, the axis of symmetry is -8/2(1) = -4.

Hope this helps!! :)

6 0

3 years ago

If the ratio of dogs to cats at an animal shelter is 2:5, then the number of cats is _____ times the number of dogs.

saul85 [17]

So 2:5 means that 5/7 animals are cats and 2/7 are dogs. I believe if you divide u will get your answer. 5/7 * 7/2 = 1.25x the number of dogs

6 0

3 years ago

‼️10 points‼️

Tamiku [17]

Answer:

<h3>The answer is option D.</h3>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

Slope of the line using points ( 5 , - 1) and

( - 5 , 2) is

m = 2+1/ -5-5 = - 3 / 10

Equation of the line using point ( 5 , - 1) is

y + 1 = -3/10(x - 5)

y = -3/10x + 3/2 - 1

The final answer is

Hope this helps you.

4 0

3 years ago

Mark wrote the highest score he made on his new video game as the product of 70 X 6000. Use the Associative and Commutative Prop

sesenic [268]

I think in commutative properties of multiplication:
70 x 6000 = 70 x 6000
420,000 = 420,000

I don't know associative properties, only commutative properties. Sorry :(

3 0

3 years ago

Read 2 more answers

A model of a famous statue is 2 1/2 inches tall. The actual statue is 3 1/3 feet tall. What is the ratio of the height of the mo

Gekata [30.6K]

1. A model of a famous statue is $2\dfrac{1}{2}$ inches tall that is

$\dfrac{2\cdot 2+1}{2}=\dfrac{5}{2}$ in.

2. The actual statue is $3\dfrac{1}{3}$ feet tall that is

$\dfrac{3\cdot 3+1}{3}=\dfrac{10}{3}\ ft=\dfrac{10}{3}\cdot 12=40\ in.$

3. The ratio of the height of the model to the height of the actual statue in simplest form is

$\dfrac{\dfrac{5}{2}}{40}=\dfrac{5}{2}\cdot \dfrac{1}{40}=\dfrac{1}{16}.$

Answer: $\dfrac{1}{16}.$

4 0

3 years ago