1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gennadij [26K]
2 years ago
9

Given the following two points, find the Rate of Change for the function. (-2,-1) and (4,5)

Mathematics
1 answer:
horsena [70]2 years ago
5 0

Answer:

(6, 6)

Step-by-step explanation:

(x) 4-(-2) = 6

(y) 5-(-1)= 6

You might be interested in
When a polynomial f(x) is divided by 2x-3,the quotient is x^2-x+2 and the remainder is -1. Find the f(x)​
joja [24]

Answer:

f(x) = 2x³ - 5x² + 7x - 7

Step-by-step explanation:

In the division statement: m ÷ n = q + \frac{r}{n}

  • m is the dividend
  • n is the divisor
  • q is the quotient
  • r is the remainder
  • m = q × n + r

Let us use the fact above to solve the question

∵ f(x) is divided by (2x - 3), the quotient is x² - x + 2 and the remainder is -1

∴ f(x) is the dividend ⇒ m

∴ (2x - 3) is the divisor ⇒ n

∴ (x² - x + 2) is the quotient ⇒ q

∴ -1 is the remainder ⇒ r

→ Use the rule above to find f(x)

∵ f(x) = (x² - x + 2) × (2x - 3) + -1

∴ f(x) = (x² - x + 2)(2x - 3) - 1

→ Multiply the 2 brackets at first

∵ (x² - x + 2)(2x - 3) = x²(2x) + x²(-3) + -x(2x) + -x(-3) + 2(2x) + 2(-3)

∴ (x² - x + 2)(2x - 3) = 2x³ - 3x² - 2x² + 3x + 4x - 6

→ Add the like terms

∴ (x² - x + 2)(2x - 3) = 2x³ + (-3x² - 2x²) + (3x + 4x) - 6

∴ (x² - x + 2)(2x - 3) = 2x³ + (-5x²) + 7x - 6

∴ (x² - x + 2)(2x - 3) = 2x³ - 5x² + 7x - 6

→ Substitute it in f(x)

∴ f(x) = 2x³ - 5x² + 7x - 6 - 1

→ Add the like term

∵ f(x) = 2x³ - 5x² + 7x + (- 6 - 1)

∴ f(x) = 2x³ - 5x² + 7x + (-7)

∴ f(x) = 2x³ - 5x² + 7x - 7

3 0
3 years ago
What is the surface area of the following cylinder in square centimeters? 54.95 cm2 471 cm2 47.1 cm2 31.4 cm2
goldfiish [28.3K]

Answer:

54.95

hope this helps :p

5 0
3 years ago
What do you get when you combine the following numbers? -4-4-4-4
sladkih [1.3K]

Answer:

-16

Step-by-step explanation:

you just add all of them together

4 0
2 years ago
What is 5 cm in mm. i need a simple answer. NO LINKS
Setler [38]

50 millimeters

keystrokes

4 0
3 years ago
Read 2 more answers
A line’s equation is given in point-slope form:
navik [9.2K]

we conclude that the point on this line that is apparent from the given equation is (-6, 6)

<h3>Which point is on the line, only by looking at the equation?</h3>

Remember that a general linear equation in slope-intercept form is:

y = a*x + b

Where a is the slope.

Here we have the linear equation:

y - 6= (-23)*(x + 6)

Now, for a linear equation with a slope a and a point (h, k), the point slope form of the linear equation is:

(y - k) = a*(x - h)

Now we can compare that general form with our equation, we will get:

(y - k) = a*(x - h)

(y - 6) = (-23)*(x + 6)

Then we have: k  = 6 and h = -6.

Thus, we conclude that the point on this line that is apparent from the given equation is (-6, 6).

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

4 0
1 year ago
Other questions:
  • Multiply decimal with work <br><br>30.6 × 4200​
    14·1 answer
  • A rectangular prism has a length of 8 inches, a width of 5 inches, and a height of 2 inches. What is the
    5·1 answer
  • If m2 DOC = 44º and m2 COB = 80°,
    9·1 answer
  • I ENTERED 22 POINTS!! EXTREAMLY EASY I AM JUST AFRAID TO GET THIS WRONG SO IF YOU COULD TAKE A MINUTE AND HAVE SOME PITY FOR ME
    7·1 answer
  • If the volume of the pyramid is 72cm3, what is it’s height in cm? A.3. B.9. C.12. D.18
    5·1 answer
  • Bonnie uses of
    12·2 answers
  • What is the product of (-1/4)x(-3/7)
    5·1 answer
  • Math 7th grade pls help 18 points pls pls pls help it’s due in 2 mins
    14·2 answers
  • lily wants to put a bird food mix in her bird feeder.Her bird feeder can hold 8 cups of bird food.The bird food is a mix of 20%
    14·1 answer
  • What is the difference between the points (-7,-8) and (2,-8)?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!