Slope: 2/3
y intercept : -2
slope intercept equation: y = 2/3x -2
Answer:
slope-intercept form equation: y = x + 5
Step-by-step explanation:
you take the 2 y's, 18 and -13, then you subtract them: 18 - (-13) = 31
then you take the 2 x's, 13 and -18, subtract them too: 13 - (-18) = 31
divide those 2 sums: 31/31 = 1
so the slope is 1
then when you graph it you get an y-intercept of 5
so the equation is y = x + 5
hope this helps :)
We will see that f'(x) > 0, which means that f(x) is an increasing function.
<h3>
How to prove that the function is increasing?</h3>
For any function f(x), if f'(x) > 0, then f(x) is increasing for any value of x.
Here we have the cubic function:
f(x) = x³ + 4x
If we differentiate this, we get:
f'(x) = df(x)/dx = 3x² + 4.
And notice that x² is always positive, then f'(x) > 0, which means that f(x) is an increasing function.
If you want to learn more about cubic functions:
brainly.com/question/20896994
#SPJ1
ANSWER.
The measure of angle A is 53.13°.
STEP BY STEP
Given,
ABC is a triangle,
In which m∠CBA = 90°, AB = 3 cm, BC = 4 cm and CA = 5 cm,
By the law of sine,
( By cross multiplication )
By substituting the values,
( sin 90° = 1 )
<u>Hence, the measure of angle A is </u><u>53.13°.</u>
Okay. So the equation is 4x² - 16. We're talking about moving 7 units to the right and 3 units down. That formula would be h(x) = 4(x - 7)² - 19, because you would add -3 to the -16 units to get -19, and you would put the parenthesis around x and the 7 in order for it to move right. Keep in mind that parenthesis around x and a term means that we move either left or right, which didn't occur in the original equation. -16 is the amount of units down and adding -3 to it makes it -19. The answer is A.
