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tankabanditka [31]
3 years ago
9

The function f(x) = (x - 4)(x - 2) is shown.

Mathematics
1 answer:
Kay [80]3 years ago
8 0

Answer:

all real numbers greater can or equal to -1

Step-by-step explanation:

Given the function:  f(x) = (x - 4)(x - 2)

=> its root: x =4 and x = 2

We convert the factored form into standard form:  f(x) = x^{2} -6x + 8

As can be seen, the parameter a in the function is positive => the graph of it open up over its domain.

and then we convert the factored form into vertex form: f(x) = (x-3)^{2} - 1

<=> when x =3 we have f(x) =1 and f(x) =-1 is the lowest point of the function

=> the range of the function: all real numbers greater can or equal to -1

Hope it will find you well.

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I really need help with this:)
PilotLPTM [1.2K]

Answer:

I think it is b because dimension are measurable extent

4 0
2 years ago
Read 2 more answers
A bike shop marks up a hybrid bike from $200 to $330 and discounts a road bike from 330 to 200 by what you percent is the road b
erik [133]

Answer:

39.39%

Step-by-step explanation:

There's a nice little formula that is used to find percentage change which works regardless of if it's an increase or decrease.

Percent~Change = |\frac{New~Value~-~Original~Value}{Original~Value}| * 100

1 - Understanding the equation

The '|'s which are surrounding the fraction are absolute value symbols in mathematics,

Absolute value means the positive value of anything inside

<u>Examples</u>:

| -8 | = 8

| 8 |  = 8

and

| -2 | = 2

| 2 |  = 2

the * 100 means you multiply (the * symbol means multiply) by 100.

We do this to get it into a percent.

3 - Assign numbers to the values from our equation

Original Value (What it changed from): 330

New Value (What it changed to): 200

3 - Plug in our values into our variables from our equationPercent~Change = |\frac{200-330}{330}| * 100 = |\frac{-130}{330}| = = |-0.39...| * 100 = 0.3939... *100 =

<em>Our percent change is 39.39%, and with our percent in which is discounted being the same, we have our answer.</em>

<em />

Hope this helps :)

7 0
3 years ago
Kath starts with a number. she adds 3 to her number then double the result. finally, she subtracts 7. if she ended with 9, what
Dimas [21]
The answer is 5. Work backwards: first add 7 to 9, then divide by 2, then subtract 3.

9+7=16
16/2=8
8-3=5

Cross Check:
5+3=8
8*2=16
16-7=9

Final Answer: 5
4 0
3 years ago
In the largest clinical trial ever​ conducted, 401,974 children were randomly assigned to two groups. The treatment group consis
BARSIC [14]

Answer:

The requirements for the hypothesis test does satisfied the method for testing the claim that from two population proportions the rate of polio is less for children given the salk vaccine.

Step-by-step explanation:

The percentage of children in the treatment group was:

(201229/401974)*100 = 49.9%

The percentage of children given placebo was:

(200745/401974)*100 = 50.1%

The percentage of children that developed polio in the treatment group:

(33/200745)*100 = 0.0164%

The percentage of children that developed polio in the placebo group:

(115/201229)*100 = 0.0571%

The percentage difference between the two group:

((0.0571-0.0164)/0.0571) = 61.62%

Therefore:

The amount of children used for each group was almost divided into half of the total amount of children. The test revealed although very small percentages of the both group developed polio, 68.62% more children given placebo than the children that was given the salk vaccine. Therefore, the study shows that the rate of polio is less for children given the salk vaccine and the the hypthesis test is satisfied.

6 0
3 years ago
A mantee surfaced for air 3 times in 120 seconds
Fantom [35]

Answer:

40 seconds

Step-by-step explanation:

7 0
2 years ago
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