9. Let x equal the number
Two less than a number is
x - 2
Is more than 15 is
> 15
Put them together for
x-2 > 15
Now solve
x-2 > 15
x > 17
10. Let x equal a number
Seven more than a number is
x+ 7
Is less than or equal to 27 is
<= 27
Put them together for
x + 7 <= 27
Now solve
x+ 7 <= 27
x <= 20
X-7=18
+7 to both side
X=25
Answer:
43.75feet
Step-by-step explanation:
Given the height of the tennis ball expressed as;
h(t) = -15t^2 + 45t + 10
At maximum height, the velocity of the ball is zero
v = dh/dt
dh/dt = -30t + 45
Since dh/dt = 0, hence;
0 = -30t + 45
30t = 45
t = 45/30
t = 3/2
t = 1.5secs
Substitute t = 1.5 into the expression given
h(1.5) = -15(1.5)^2 + 45(1.5) + 10
h(1.5) = -15(2.25)+67.5+10
h(1.5) = -33.75+77.5
h(1.5) = 43.75feet
Hence the maximum height of the ball is 43.75feet
9514 1404 393
Answer:
2
Step-by-step explanation:
The products of chord lengths are the same for the intersecting chords:
AQ×BQ = CQ×DQ
6×12 = CQ×(38 -CQ)
This gives a quadratic in CQ:
CQ² -38CQ +72 = 0 . . . . . write in standard form
(CQ -2)(CQ -36) = 0 . . . . . factor the quadratic
CQ = 2 or 36 . . . . . . . values of CQ that make the factors zero
The minimum length of CQ is 2 units. (DQ will be 36.)
Question 7
(37,065 - 26, 102)/(37, 065) = P/100
(10, 963)/(37, 065) = P/100
37, 065P = (10, 963)(100)
37,065P = 109, 630
P = 109, 630 ÷ 37, 065
P = 2.9577768785
P = 295.78%
Do likewise for the rest of the questions.
To change from decimal to percent, move the decimal point two places to the right and then add the percent symbol (%).
