Write an equivalent expression to x-9y+ 4.

Given the function f(x) = 2(3)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

jeyben [28]

f(0) = 2(3)(0) = 0 ⇒ (0, 0)

f(1) = 2(3)(1) = 6 ⇒ (1, 6)

<u>rate of change from x = 0 to x = 1</u>

$\frac{y2 - y1}{x2 - x1}$ = $\frac{6 - 0}{1 - 0}$ = $\frac{6}{1}$ = 6

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f(2) = 2(3)(2) = 12 ⇒ (2, 12)

f(3) = 2(3)(3) = 18 ⇒ (3, 18)

<u>rate of change from x = 2 to x = 3</u>

$\frac{y2 - y1}{x2 - x1}$ = $\frac{18 - 12}{3 - 2}$ = $\frac{6}{1}$ = 6

*****************************************

Since it is the same line, they will have the same slope (aka rate of change).

5 0

3 years ago

If BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6, what are the values of x and AC?

Keith_Richards [23]

Answer: x=7 and AC = 44 unuts.

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other. (i)

Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.

BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6

Using (i)

$BE=\dfrac{BD}{2}\\\\2x+2=\dfrac{5x-3}{2}\\\\ 2(2x+2)=5x-3\\\\ 4x+4= 5x-3\\\\ 5x-4x=4+3\\\\ x= 7$

Now , AE = 4(7)-6 = 28-6 = 22

AC =2 AE = 2 (22) =44 units.

Hence, x=7 and AC = 44 unuts.

3 0

3 years ago

The population of California is approximately 38,040,000. The population of Texas is approximately 26.06 x 10^6 . The population

Salsk061 [2.6K]

Answer:

this is it

Step-by-step explanation:

The population of California is approximately 38,040,000. The population of Texas is approximately 26.06 x 106 . The population of New York State is approximately 1.96 x 107

38,040,000 = 3.804 x 107

26.06 x 106 = 2.606 x 107

Which state has the highest approximate population? Show work and/or Explain.

NY: 1.96 x 107 = 19,600,000

TX: 2.606 x 107 = 26,060,000

CA: 3.804 x 107 = 38,040,000

California has the highest approximate population.

Find the sum of the approximate population of California and New York State.

(3.804 x 107) + (1.96 x 107) = (3.804 +1.96) x 107 = 5.764 x 107

Find the difference in the approximate population of Texas and New York State.

(2.606 x 107) - (1.96 x 107) = 0.646 x 107 = 6.46 x 106

3 0

3 years ago

Rectangle EFGH is the image of rectangle ABCD after a sequence of transformations. Which statement describes the transformation

nasty-shy [4]

Answer:

C. Rectangle ABCD was dilated with center (0, 0) and a scale factor of 1/2 followed by a translation right 3.5 units and down 8 units.

Step-by-step explanation:

See figure for intermediate steps.

8 0

3 years ago

Read 2 more answers

Determine and solve the system of equations. A parking meter takes nickels and dimes only. Ninety-five coins are removed from th

kvv77 [185]

Answer:

$4x=3+2ysquare over 3$

$lol hope it helped$

Step-by-step explanation:

7 0

3 years ago