Answer:
L=10.326cm
P=31.30cm
Step-by-step explanation:
A=55=L*W
L=5+W
A = (5+W)(W) = 55
55=W^2 + 5W
0 = W^2 + 5W - 55
use quadratic formula
W = [-5 (+/-) sqrt(25-4(-55))]/2
W= 5.326 cm or W=-20.65, so W=5.326cm
L=5+5.326
=10.326cm
P=2W+2L
P=2(5.326) + 2(10.326)
=31.30 centimeters
Answer:
f(j) = 6j + 5 if f(1/3)
f(j) = 6(1/3) + 5
f(j) = 2 + 5
f(j) = 7
Step-by-step explanation:
- replace j by 1/3
- distribute 6(1/3)
- do addition
Answer:
Slope=4 y-intercept=(0,-21) or -21
Step-by-step explanation:
To find<u> slope</u>
m=-13-(-17)/2-1
m=4/1
m=4
To find <u>y-intercept</u>
y-(-17)=4(x-1)
y+17=4(x-1)
y+17=4x-4
Subtract both sides by 17
y=4x-21
y-intercept=-21
Answer:
Since there are 72 cards in a set, then Kareem needs to collect a total of 15×72=1080 cards. Since Kareem currently has 216 role-playing game cards, subtract 1080 by 216 to find how many more he needs:
1080−216=864
Step-by-step explanation:
Answer:

Step-by-step explanation:
The y-intercept (when x = 0) on the quadratic graph is 3, the upper quadratic graph does not intersect the x-axis, and the endpoint of the function has an open circle that stops at x = 1. The starting point extends to the boundaries of the graph
Therefore, the piecewise function shown in the quadratic graph is given as follows;
f(x) = x² + 3; x < 1
The straight line graph has a negative slope and starts at x = 1, with a closed circle, extending to higher values of <em>x</em> to the boundaries of the graph
Two points on the straight line graph are (1, 3) and (5, -5), therefore, the slope is (-5 - 3)/(5 - 1) = -2
The equation of the function is y - 3 = -2·(x - 1)
∴ y = f(x) -2·x + 2 + 3 = -2·x + 5
f(x) = -2·x + 5; x ≥ 1