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1 year ago

HELPPPPP Consider the function below. Find f(8)

Mathematics

2 answers:

Alborosie1 year ago

5 0

Answer: The First one isn't valid

The second one is equal to 9

Rufina [12.5K]1 year ago

3 0

Answer:

Step-by-step explanation:

Substitute 8 for x

3(8) - 1

Solve:

3 x 8 = 24

24 - 1 = 23

Next, substitute for x in the inequality with the answer you just made. See if it's true.

23 $\leq$ 2

The inequality is NOT TRUE

Same thing for the next one

1/2(8) + 5

Solve:

1/2 x 8 = 4

4 + 5 = 9

Substitute for x in the inequality with the answer you just made. See if it's true.

9 > 2

This inequality is TRUE

Hope this helps!!!

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Prove Theorem 3: Corresponding angle bisectors of similar triangles are proportional and their ratio is equal to the ratio of si

RoseWind [281]

Answer:

The proof is given below.

Step-by-step explanation:

Given the two triangles which are similar we have to prove that the ratio of their angle bisectors and the side or we can say that the ratio of their altitude are proportional.

In ΔABP and ΔDEQ

∠1=∠2 (Given)

∠3=∠4 (each 90°)

By AA similarity rule ΔABP≅ΔDEQ

As if the two triangles are similar then their corresponding sides are proportional

⇒ $\frac{AB}{DE}=\frac{AP}{DQ}=\frac{BP}{EQ}$

Hence, Corresponding angle bisectors of similar triangles are proportional and their ratio is equal to the ratio of altitude.

5 0

3 years ago

Maria will take two books with her on a trip. Suppose that the probability that she will like book 1 is .6, the probabilitythats

morpeh [17]

Answer:

0.25 is the required probability.

Step-by-step explanation:

We are given the following in the question:

Probability that like book 1 = 0.6

$P(1) = 0.6$

Probability that like book 2 = 0.5

$P(2) = 0.5$

Probability that Maria likes both the books = 0.4

$P(1\cap 2) = 0.4$

We have to find the conditional probability that she will like book 2 given that she did not like book 1.

Thus, we have to evaluate:

$P(2|1') = \dfrac{P(2\cap 1')}{P(1')} = \dfrac{P(2)-P(1\cap 2)}{1-P(1)}\\\\P(2|1') =\dfrac{0.5-0.4}{1-0.6} = 0.25$

0.25 is the conditional probability that Maria will like book 2 given that she did not like book 1.

4 0

4 years ago

Identify the change of 1/4 to 1/2

Goryan [66]

This represents an increase of 50%

8 0

3 years ago

Read 2 more answers

What is the height of the cone below?

melisa1 [442]

The formula of a volume of a cone:

$V=\dfrac{1}{3}Bh[/rex]B - area of a baseh - heightWe have[tex]V=90\ cm^3,\ B=18\ cm^2$

Substitute:

$90=\dfrac{1}{3}\cdot18\cdot h\\\\90=6h\qquad|\text{divide both sides by 6}\\\\15=h\to h=15$

<h3>Answer: 15 cm.</h3>

3 0

4 years ago

Is 12cm greater than less than or equal to 98mm

dmitriy555 [2]

There are 10 millimeters in a centimeter, so to find the amount of centimeters that 98mm is equal to, you do this:

98/10 = 9.8

9.8 is a smaller number than 12, so your answer is greater.

4 0

4 years ago