All categories

3 years ago

Which of the following is the solution to the compound inequality

Mathematics

1 answer:

mote1985 [20]3 years ago

4 0

$3x+5\geq-1\ \ \ |-5\\\\3x\geq-6\ \ \ |:3\\\\x\geq-2\\------------------\\-2x-7\geq5\ \ \ |+7\\\\-2x\geq12\ \ \ \ |:(-2) < 0\\\\x\leq-6$

$Answer:\ A.\ x\geq-2\ or\ x\leq-6$

You might be interested in

If REX ~ ROB, find the value of a.

Luba_88 [7]

Answer: 8

Step-by-step explanation:

As corresponding sides of similar triangles are proportional,

$\frac{RX}{RB}=\frac{XE}{BO}\\\\\frac{6}{15}=\frac{a}{20}\\\\a=20\left(\frac{6}{15} \right)=\boxed{8}$

3 0

2 years ago

Find the product of 4/5 and 5/12 put in simplest form

kotegsom [21]

Hello!

The answer is 20/60 simplest form is 1/3

To get 20/60 you must multiply the Numerator by Numerator (4*5) and Denominator by Denominator (5*12). Your answer will be 20/60.

To get 1/3 you must simplify a number that can go into 20 and 60 (which is 10). Divide 20/10 and 60/10 and get 2/6. Simplify 2/6 by 2 and get 1/3.

3 0

3 years ago

Bob and Doug are both 100-meter sprinters. Bob's sprint time is normally distributed with a mean of 10.00 seconds and Doug's spr

alexdok [17]

Answer:

The standard deviation (σ) = 0.05

Step-by-step explanation:

The question is to find the standard deviation.

STEEP 1: FIND THE MEAN

(10+9.9) ÷ 2 = 9.95

STEP 2: SQUARE THE DIFFERENCE BETWEEN SPRINT TIME AND MEAN

10-9.95= 0.05

0.05^2 = 0.0025

9.9 - 9.95= -0.0025

-0.0025^2 = 0.0025

STEP 3: FIND THE VARIANCE

0.0025+0.0025= 0.005

0.005/2= 0.0025

STEP 4: FIND THE STANDARD DEVIATION (σ )

√variance

√0.0025 = 0.05

Therefore

σ = 0.05.

From the standard deviation, the percentage probability of the higher value to occurs is

0.05×100= 5%

That means Doug has 95%

And Bob has 5%

3 0

3 years ago

Two coins have a radii of 3 cm and 1 cm the smaller coin rolls along the circumference of the fixed larger coin until the smalle

dezoksy [38]

I think you have to do 3cm/1cm

I think the small coin makes 3 revolution

6 0

3 years ago

A student determined that the area of the segment of c shown above is Asegment = 137.71 ft2. The student's work is shown below.

ivolga24 [154]

Answer:

Option D. The student did not use the correct formula to calculate the area of the segment

Step-by-step explanation:

step 1

Find the area of the isosceles triangle

Applying the law of sines

$A=\frac{1}{2}(12^{2})sin(60\°)=62.35\ ft^{2}$

step 2

Find the area of the sector

The area of the sector is 1/6 of the area of the circle

$A=\pi r^{2}/6$

substitute the value

$A=(3.14)(12)^{2}/6=75.36\ ft^{2}$

step 3

Find the area of the segment

The area of the segment is equal to the area of sector minus the area of triangle

$A=75.36\ ft^{2}-62.35\ ft^{2}=13.01\ ft^{2}$

therefore

The student did not use the correct formula to calculate the area of the segment

4 0

3 years ago