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3 years ago

write an equation in slope intercept form of the line with a slope- 2 and y intercept 3. Graph the line

Mathematics

1 answer:

charle [14.2K]3 years ago

4 0

Answer:

y = -2x + 3

Step-by-step explanation:

Step 1: Find out what each part of slope intercept form is

Slope Intercept Form: y = mx + b

m is the slope

b is the y-intercept

Step 2: Plug in the information into the formula

m/slope = -2

b/y-int = 3

y = -2x + 3

Answer: y = -2x + 3

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3 years ago

What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3

Rufina [12.5K]

Answer:

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1} =\frac{f(x_2)-f(x_1)}{x_2-x_1}$

So, the average rate of change of:

$f(x)=-x^2+3x+6$

Over the interval $-3$

Is:

$f(x_2)=f(3)=-(3)^2+3(3)+6=-9+9+6=6\\\\f(x_1)=f(-3)=-(-3)^2+3(-3)+6=-9-9+6=-12$

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Therefore, the average rate of change of this function over that interval is 3.

3 0

3 years ago

Please answer please

love history [14]

Answer:

43.5 cm²

Step-by-step explanation:

½ × 12 × 8 × sin(65)

= 43.50277378 cm²

7 0

3 years ago

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Sonbull [250]

Answer:

Step-by-step explanation:

3 0

3 years ago

A fruit company delivers its fruit in two types of boxes: large and small. a delivery of 6 large boxes and 5 small boxes has a t

Afina-wow [57]

6 large + 5 small = 127 kg ------------ (1)
2 large + 3 small = 51kg ------------ (2)

(2) x 3 :
6 large + 9 small = 153 ---------------- (2a)

(2a) - (1) :
4 small = 26
1 small = 6.5kg ------------ (sub into equation 1)

6 large + 5 small = 127 kg
6 large + 5(6.5) = 127
6 large + 32.5 = 127
6 large = 127 - 32.5
6 large = 94.5
1 large = 15.75 kg

Answer: The small box weighs 6.5kg and the big box weighs 15.75 kg

5 0

3 years ago