I. The value of x is equal to 8.
II. The dimensions of the rectangle are 13 and 5 inches respectively.
<u>Given the following data:</u>
- Area of a rectangle = 65 square inches.
- Length of rectangle = x + 5 inches
- Width of rectangle = x - 3 inches
To find the value of x, and the dimensions of the rectangle:
Mathematically, the area of a rectangle is given by the formula:
Substituting the values, we have:
x = 8 or x = -10
<u>For the</u><u> length:</u>
when x = 8
Length = 13 inches.
<u>For the</u><u> width:</u>
when x = 8
Length = 5 inches.
Find more information: brainly.com/question/11037225
Answer:
a) the beef cost the most
b) $125.8
Step-by-step explanation:
A) 1.2 potatoes
1.8 carrots
2.39 beef
.5 peppers
B) 15.30-.5=14.80 x 8.5=<u>125.8</u>
Answer:
28 questions answered.
Step-by-step explanation:
40(2/5) is 16 questions.
40-16 is 24 questions left.
24(.5) is 12 questions.
16+12 gets you 28 questions.
Answer as a fraction: 17/6
Answer in decimal form: 2.8333 (approximate)
==================================================
Work Shown:
Let's use the two black points to determine the equation of the red f(x) line.
Use the slope formula to get...
m = slope
m = (y2-y1)/(x2-x1)
m = (4-0.5)/(2-(-1))
m = (4-0.5)/(2+1)
m = 3.5/3
m = 35/30
m = (5*7)/(5*6)
m = 7/6
Now use the point slope form
y - y1 = m(x - x1)
y - 0.5 = (7/6)(x - (-1))
y - 0.5 = (7/6)(x + 1)
y - 0.5 = (7/6)x + 7/6
y = (7/6)x + 7/6 + 0.5
y = (7/6)x + 7/6 + 1/2
y = (7/6)x + 7/6 + 3/6
y = (7/6)x + 10/6
y = (7/6)x + 5/3
So,
f(x) = (7/6)x + 5/3
We'll use this later.
---------------------
We ultimately want to compute f(g(0))
Let's find g(0) first.
g(0) = 1 since the point (0,1) is on the g(x) graph
We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.
We now use the f(x) function we computed earlier
f(x) = (7/6)x + 5/3
f(1) = (7/6)(1) + 5/3
f(1) = 7/6 + 5/3
f(1) = 7/6 + 10/6
f(1) = 17/6
f(1) = 2.8333 (approximate)
This ultimately means,
f(g(0)) = 17/6 as a fraction
f(g(0)) = 2.8333 as a decimal approximation
Answer: Independent
Step-by-step explanation: Just multiply the probability of the first event by the second.
