All categories

4 years ago

1. Solve the given inequality and graph it on the number line.–3x + 9 ≤ 15 Answer:

Mathematics

1 answer:

Travka [436]4 years ago

3 0

The answer is in the image

You might be interested in

Given: AB tangent at D, AD = OD = 4 Find: Area of the shaded region

MrMuchimi

Answer:

1.72

Step-by-step explanation:

AB tangent at D, AD = OD = 4

so triangle OAD is right angle with side of 4 and 4.

area of OAD = 1/2 * 4 * 4 = 8

Angle AOD = DAO = 45 deg.

so circular sector OCD area = area of circle O * 45/360

= pi * 4 * 4 * 45/360

= 2pi

Shade area ACD = trigangle OAD - circular sector OCD

= 8 - 2pi

= 1.72

4 0

3 years ago

Log3 (x+1)+log3 2x= log3 (3x+1)

balu736 [363]

Answer:

hello : x=1

Step-by-step explanation:

look this solution :

8 0

3 years ago

Solve for x: 2 over 3 (x − 4) = 2x.

RoseWind [281]

$\frac{2}{3} (x - 4) = 2x \\ \frac{2}{3} x - \frac{8}{3} = 2x \\ \frac{2}{3} x - 2x = \frac{8}{3} \\ \frac{2}{3} x - \frac{6}{3} x = \frac{8}{3} \\ \frac{ - 4}{3} x = \frac{8}{3} \\ - 12x = 24 \\ x = \frac{24}{ - 12} \\ x = - 2$

6 0

2 years ago

One integer added to another integer gives a sum of 2. When the larger integer is subtracted from the smaller integer, the diffe

alexandr402 [8]

For this case we have the following variables, let:

x: The greater integer

y: The minor integer

We have to:

$x + y = 2 (1)\\y-x = -14 (2)$

Thus, we have a system of two equations with two unknowns. To solve, we follow the steps below:

Step 1:

We add both equations:

$x + y + y-x = 2-14\\2y = -12$

$y = \frac {-12} {2}\\y = -6$

Thus, the smallest integer is $y = -6$

Step 2:

We substitute "y" in any of the equations and clear x:

$x + y = 2\\x + (- 6) = 2\\x-6 = 2\\x = 2 + 6\\x = 8$

Thus, the largest integer is $x = 8$

So:

$8 + (- 6) = 8-6 = 2\\-6-8 = -14$

Anwer:

Integer minor, $y = -6$

Integer greater, $x = 8$

8 0

4 years ago

You toss two number cubes. If a sum of 7 or 11 comes up, you get 7 points, if not you lose 2 points. The probabilities for each

Kryger [21]

Since is its probability of 7 OR 11 we add the individual probabilities
so answer is 1/6 + 1/18 = 3/18 + 1/18 = 4/18 = 2/9

2/9

6 0

4 years ago

Read 2 more answers