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zheka24 [161]
1 year ago
16

What is the first step in writing f(x) = 6x2 + 5 – 42x in vertex form?

Mathematics
2 answers:
Marat540 [252]1 year ago
7 0
F(x) = 6x² + 5 - 42x

first step in writing the f(x) in vertex form? WRITE THE FUNCTION IN STANDARD FORM.

f(x) = 6x² - 42x + 5

Exponents must be in decreasing order. 
Rom4ik [11]1 year ago
7 0

Answer:

Option 3rd is correct

Write the function in standard form.

Step-by-step explanation:

The standard form of the quadratic equation is given by:

y=Ax^2+Bx+C

As per the statement:

Given the function:

f(x) = 6x^2+5-42x

We have to find the first step writing f(x) vertex form.

Firstly, write the given function in standard form

by definition we have;

f(x) = 6x^2-42x+5

Therefore, the first step writing f(x) vertex form is, Write the function in standard form.

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Let us say that the procedure of completely filling up the pool with water is called “1 job”. Therefore the rates of the equipment in doing the job would be:

<span>Rate of handheld hose = 1 job / 8 minutes                  ---> 1</span>

<span>Rate of lawn sprinkler = r                                             ---> 2</span>

<span>Rate of the two combines = 1 job/ 5 minutes               ---> 3</span>

So we are to find the equation to use, in this case, we simply have to add equations 1 and 2 to get 3:

1 / 8 + r = 1 / 5

Multiplying both sides by 5:

<span>(5 / 8) + 5 r = 1                                                               ---> ANSWER</span>

8 0
2 years ago
Read 2 more answers
Scarlet and Paula are on a vacation. They went to a store to buy some souvenirs for their friends back home. Scarlet bought thre
snow_lady [41]

Answer:

a

Step-by-step explanation:

1. Choose a person.

2. Substitute the numbers into the correct values.

105 - 15 = ?/5 = 18

105 - 18 = ?/5 = 3.48

105 - 12 = ?/5 = 18.6

105 - 23 = ?/5 = 16.4

It is A because it is the only one in which the answer is equivalent to the cost.

Hope this helps:)

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2 years ago
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A news report suggested that an adult should drink a minimum of 4 pints of water per day. Based on this report, determine the mi
zhuklara [117]

Answer:

448 fl oz

Step-by-step explanation:

there are 7 days in a week. 4*7 is 28

28 pints to ounces is 448 fl oz

6 0
2 years ago
Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly. What will his balance be after he has made exactly
damaskus [11]

Answer:

The balance be after he has made exactly half of his monthly payments is $56881.4.

Step-by-step explanation:

Given : Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly.

To find : What will his balance be after he has made exactly half of his monthly payments?

Solution :

Formula of monthly payment ,

M=\frac{\text{Amount}}{\text{Discount factor}}  

Discount factor D=\frac{1-(1+i)^{-n}}{i}  

Where, Amount = $40,000

Rate r= 4% compounded monthly

i=\frac{4}{100}=0.04  

Time = 10 years  

n=10\times12=120  

Now, put all the values we get,  

D=\frac{1-(1+i)^{-n}}{i}  

D=\frac{1-(1+0.04)^{-120}}{0.04}  

D=\frac{1-(1.04)^{-120}}{0.04}  

D=\frac{1-0.00903}{0.04}  

D=\frac{0.9909}{0.04}  

D=24.7725  

M=\frac{\text{Amount}}{\text{Discount factor}}  

M=\frac{40000}{24.7725}  

M=1614.69  

Half of the monthly payment is $807.345

Payment for 10 years is 807.345\times 120=96881.4

The balance is $96881.4-$40000=$56881.4

Therefore, The balance be after he has made exactly half of his monthly payments is $56881.4.

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Answer: last notation is right N =~ P

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