Area = length x width.
24 = (x + 2)(x - 3) = x² - x - 6
x² - x - 30 = 0
(x + 5)(x - 6) = 0
We can eliminate the root x = - 5 because dimensions cannot be negative. So, the only valid answer is x = 6

The length = x + 2 = 6 + 2 = 8 in.
The width = x - 3 = 6 - 3 = 3 in.

6 0

2 years ago

Write an equation for the direct variation (y varies directly with x) if y=12 when x=4.

Olegator [25]

Hdhssuejzzsxfffdfggfds

6 0

3 years ago

Which characteristics best describe the undefined concept?

never [62]

Line. A line would have a length but has no width

4 0

2 years ago

Use technology to find the P-value for the hypothesis test described below. The claim is that for a smartphone carrier's data

EastWind [94]

Solution :

The null and alternative hypothesis is given by

$H_0: \mu = 11$

$H_a: \mu \ne 11$

Assume that the level of significance, α = 0.05

The t-test statistics is, t = 1.484

Degree of freedom :

df = n - 1

= 14 - 1

= 13

The P-value is given by

P-value = 2P (T>|t|)

= 2P(T>|1.484|)

= 2P(T>1.484)

= 2(=T.DIST.RT(1.484,13))

= 0.05

5 0

2 years ago