How to find domain and range on functions

1 answer:

6 0

The domain is the set of all possible x-values which will make the function "work", and will output real y-values. When finding the domain, remember: The denominator (bottom) of a fraction cannot be zero. The number under a square root sign must be positive in this section

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1. Select all values of x that are solutions to the equation: -2(x + 4)(3x - 18) = 0A) -6B) -4C) -2D) OE) 2F) 4G) 6

navik [9.2K]

$\begin{gathered} -2(x+4)(3x-18)=0 \\ \text{There are two factors here which are} \\ -2(x+4)\text{ and} \\ (3x-18) \\ \text{This means, either} \\ 2(x+4)=0 \\ 2x+8=0 \\ 2x=-8 \\ \text{Divide both sides by 2} \\ x=-4 \\ OR \\ 3x-18=0 \\ 3x=18 \\ \text{Divide both sides by 3} \\ x=6 \\ \text{Therefore,} \\ x=-4\text{ or} \\ x=6 \end{gathered}$

x = -4 OR x = 6

The correct options are B and G

6 0

1 year ago

In the production of a plant, a treatment is being evaluated to germinate seed. From a total of 60 seed it was observed that 37

djyliett [7]

Answer:

More than 50% would germinate

Step-by-step explanation:

Given that in the production of a plant, a treatment is being evaluated to germinate seed. From a total of 60 seed it was observed that 37 of them germinated

Let us check whether more than 50% will germinate using hypothesis test

$H_0: p = 0.50\\H_a: p>0.50\\$

(right tailed test)

Sample proportion p = $\frac{37}{60} =0.617\\q = 0.383\\Std error = \sqrt{\frac{pq}{n} } =0.0628$

p difference = 0.117

Test statistic Z = p difference/std error = 1.864

p value =0.0312

Since p value <0.05 our significance level of 5% we reject null hypothesis

It is possible to claim that most of the seed will germinate (i.e. more than 50%)

7 0

3 years ago

John shared 3 cookies with 4 friends. What fraction of a cookie did each friend receive?

Ann [662]

Answer:

3/4 of a cookie

Step-by-step explanation:

5 0

3 years ago

Joe recently joined an online streaming service and pays a monthly fee of $12, plus $0.11 per TV episode streamed. if joe decide

Sliva [168]

$20-$12=$8 $8.00/$0.11= 72.72 repeatedly so he can only watch 72 episode

7 0

3 years ago

Identify all sets to which the number 3.1214122144 . . . belongs. Choose from irrational,rational,whole,and integer

CaHeK987 [17]

It is an irrational number. That is because rational numbers can be put into fractions. But because this decimal goes on forever, you can't put it into a fraction. This is also not a whole number or an integer. Whole numbers and integers do not have any decimals or fractions in them, but this number is a decimal. Therefore, this number is irrational.
hope this helps:)
please mark thanks and brainleist:)

3 0

3 years ago