All categories

1 year ago

Which of the following is the correct graph of the compound inequality 4p + 1 < −11 or 6p + 3 > 39?

1 answer:

4 0

The correct graph to the inequality is a number line with open dot at <em>negative 3</em> with shading to the left and an open dot at 6 with shading to the right. The correct option is the second option

<h3>Linear Inequalities </h3>

From the question, we are to determine the graph for the given compound inequality

The given compound inequality is

4p + 1 < −11 or 6p + 3 > 39

Solve the inequalities separately

4p + 1 < −11

4p < -11 - 1

4p < -12

p < -12/4

p < -3

6p + 3 > 39

6p > 39 - 3

6p > 36

p > 36/6

p > 6

Thus,

p < -3 OR p > 6

Hence, the correct graph to the inequality is a number line with open dot at <em>negative 3</em> with shading to the left and an open dot at 6 with shading to the right. The correct option is the second option

Learn more on Linear Inequalities here: brainly.com/question/5994230

#SPJ1

You might be interested in

The weight of a honeybee is 1.2 x 10^-1 g. The weight of the pollen collected by the bee on one trip is 6.0⋅10 ^−2 g.

expeople1 [14]

Answer:

<em>The combined weight of the bee and the pollen will be $1.8\times 10^-^1$ g.</em>

Step-by-step explanation:

The weight of the honeybee is $1.2\times 10^-^1$ g and the weight of the pollen collected by the bee is $6.0\times 10^-^2$ g.

For finding the combined weight, we just <u>need to add those two numbers</u>.

First we will convert each scientific notation as decimal numbers. So........

$1.2\times 10^-^1 = 1.2\times \frac{1}{10}=0.12\\ \\ \\ 6.0\times 10^-^2 = 6.0\times \frac{1}{100}= 0.06$

Now.......

$(1.2\times 10^-^1)+(6.0\times 10^-^2)\\ \\ =0.12+0.06\\ \\ =0.18 = 1.8\times 10^-^1$

Thus, the combined weight of the bee and the pollen will be $1.8\times 10^-^1$ g.

3 0

4 years ago

Read 2 more answers

Simplify 2a x a x 3a + b x 4b

loris [4]

Hello!

We have the following expression:

$2a\cdot a\cdot3a+b\cdot4b$

Let's multiply and simplify it, look:

$6a^3+4b^2$

We multiply a*a*a, so we can rewrite it as a³. The same with b*b as b².

So, the answer in the simplified form is:

6a³ + 4b²

7 0

1 year ago

Math geometry show work Thanks

aev [14]

Problem 1, part (a)

<h3>Answer: False</h3>

For instance, 200 feet in real life can be reduced to scale down to say 2 inches on paper. So we have a reduction going on, and not an enlargement.

====================================================

Problem 1, part (b)

<h3>Answer: true</h3>

This is because a scale drawing involves similar polygons. This is true whenever any dilation is applied.

====================================================

Problem 2

I'm not sure how your teacher wanted you to answer this question. S/he didn't give you any numbers for the side lengths of the polygon. The angle measures are missing as well.

4 0

3 years ago

You have a rather strange die: Three faces are marked with the letter A, two faces with the letter B, and one face with the lett

Gnesinka [82]

Answer:

8/27 ≈ 29.6%

Step-by-step explanation:

Two of the six faces are B, which means four of the six faces are not B.

The probability of rolling not B three times is:

P = (4/6)^3

P = (2/3)^3

P = 8/27

P ≈ 29.6%

6 0

3 years ago

Read 2 more answers

3. Consider the following diagram.

yawa3891 [41]

Answer:

m = 3, n = 6

Step-by-step explanation:

The hypotenuse leg (HL) theorem states that two triangles are said to be similar if one leg and the hypotenuse of the triangles are congruent.

From the diagram, comparing the hypotenuse of the triangles;

4m + 1 = 13

4m = 13 - 1

= 12

m = $\frac{12}{4}$

= 3

m = 3

Also, comparing the sides;

2m + n = 8m - 2n

substitute the value of m to have,

6 + n = 24 - 2n

collect like terms,

n + 2n = 24 - 6

3n = 18

n = $\frac{18}{3}$

= 6

n = 6

m = 3, n = 6

6 0

3 years ago