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3 years ago

Why the x-coordinate of the point of intersection is a solution to the equation f(x) = g(x)?

1 answer:

8 0

If 2 graphs meet at the same point means that for the same x both function give the same outcome/value y. That's why they are equal. Suppose f(x) = x^2 -1 and g(x) = 2x-1. This function meet at the point x=2(the point of intersection). Let's put the value of intersection in the functions. f=2^2-1=3, g= 2*2-1=3, we proved in another way why that's the point where 2 graphs are equal each other.

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Evaluate 5x 2+ 2(4x – 7) – 8x for x = 3.

Sauron [17]

Answer:

10x-14

Step-by-step explanation:

6 0

2 years ago

Ella’s test grades in her history class are 89, 94, 82, 84, and 98. What score must Ella make on her next test to have a mean te

Stells [14]

Answer:

the answer is 93

Step-by-step explanation:

mean of x,y,z

x+y+z

3 terms

(x+y+z)/3=mean

represent next test score as x

89+94+82+84+98+x

count how many terms ther are (6 terms)

mean is 90

(89+94+82+84+98+x)/6=90

add the like terms

(447+x)/6=90

multiply both sides by 6 to clear fraction

447+x=540

subtract 447 from both sides

x=93

4 0

2 years ago

What is the input value?

zloy xaker [14]

Answer:

x = 5

Step-by-step explanation:

Locate - 3 on the y- axis, move across to the right to where the graph is.

Go vertically up from this point to meet the x- axis at point x = 5

Thus

f(x) = - 3 ⇒ x = 5

3 0

3 years ago

Please guys help me if u answer it correctly I will brainlist u

GuDViN [60]

Answer:

1= 40, 25, 10

2= 9,375, 46,875, 234,375

3= 234, 729, 2,187

4= 192, 384, 768

6 0

2 years ago

Find the vertex of the given function.

IRISSAK [1]

The vertex of the function is at (5, 10)

For the function, the domain exists on all real numbers while the range exist for the value f(x) ≥ 10

<h3>Vertex, domain and range of a function</h3>

The vertex of a quadratic or linear function is in the form

y = a(x – h)^2 + k

where;

(h, k) is the vertex of the function

Given the function expressed as;

f(x) = |x-5| + 10

On comparison, you can see that h = 5 and k =10, hence the vertex of the function is at (5, 10)

For the domain and range

Domain are the dependent variable for which a function exist while the range is the independent variable for which a function exist.

For the function, the domain exists on all real numbers while the range exist for the value f(x) ≥ 10

Learn more on vertex, domain and range here: brainly.com/question/544653

#SPJ1

4 0

1 year ago