All categories

3 years ago

Factor (x) into linear factors given that k is a zero of f(x)

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

3 0

Answer:

Factored form (linear): (4x+3)(x-3)(x-5)

Step-by-step explanation:

Using long division and factoring, we can find the answer. Since the root/zero of 5 is given already, we can change this into a factor of (x - 5) as 5 is a root.

Step 1: Long division. Divide f(x) by (x-5)

Once you do long division, you should have left over (x-5)(4x²+9x-9)

Step 2: Factor the quadratic

Since you can't do gcf, you have to leave the 4x as a factor. Once you factor out the quadratic, you should get the answer:

(x-5)(4x+3)(x-3)

Step 3: Rearrange (Optional)

(4x+3)(x-3)(x-5)

You might be interested in

Richard and Teo have a combined age of 49. Richard is 13 years older than twice Teo's age. How old are Richard and Teo?

Kisachek [45]

Answer:

13×2=26

Maybe i can help u a little

3 0

2 years ago

Read 2 more answers

The Foot Locker is having a 60% off sale on shorts. John paid $18 for a pair of shorts. What was the original price of the short

AURORKA [14]

Answer:

$30 is the price of the original pair of sneakers.

Step-by-step explanation:

You wanna cross multiply so you put :

18. 60

_ = _

x. 100

You multiply 18 the cost of the sneakers by 100 and then divide the product (1800) by 60 and you get $30.

MARK ME AS BRAINLIEST!

6 0

2 years ago

Will the researcher reject the null hypothesis? A. Do not rejectDo not reject the null hypothesis because muμequals=35.135.1 mi

lozanna [386]

Apparently the questionnaire is incomplete, then the first part necessary to solve the question is left

The average daily volume of a computer stock in 2011 was

muμequals=35.135.1

million shares, according to a reliable source. A stock analyst believes that the stock volume in 2014 is different from the 2011 level. Based on a random sample of

3030

trading days in 2014, he finds the sample mean to be

30.330.3

million shares, with a standard deviation of

sequals=12.612.6

million shares. Test the hypotheses by constructing a

9595%

confidence interval. Complete parts (a) through (c) below.

Answer: however, with the given options we can say that the correct option is "B", in which the value of the confidence interval is necessary to accept or reject the null hypothesis, we deduce that the value is not in the confidence interval so it must be rejected

3 0

2 years ago

What is the length of the radius, /? O 8 units O 10 units O 12 units O 16 units

AlekseyPX

Answer:

Step-by-step explanation:

ive done this before =)

7 0

2 years ago

Find the volume of the cone. Use 3.14 for π. Round to the nearest tenth.

Leviafan [203]

$Volume\,\,of\,\,cone=1527.1\,\,cm^3$

So, Option C is correct.

Step-by-step explanation:

We need to find Volume of cone.

We are given:

π = 3.14

Length = 27 cm

Diameter = 15 cm

The formula used to find Volume of cone is:

$Volume\,\,of\,\,cone=\frac{1}{3}\pi r^2h$

We are given diameter but we need radius in the formula

So, Radius = Diameter/2 = 15/2 = 7.5 cm

We need to find height of cone.

Using Pythagoras theorem:

$h^2=p^2+b^2\\ (27)^2=p^2+(7.5)^2\\729=p^2+56.25\\p^2=729-56.25\\p^2=672.75\\Taking\,\,square\,\,root:\\p=25.93$

So, Height of cone = p= 25.93

So, r= 7.5 and h= 25.93 and π = 3.14

Putting values in the formula:

$Volume\,\,of\,\,cone=\frac{1}{3}3.14*(7.5)^2*25.93$

$Volume\,\,of\,\,cone=1526.62$

Rounding off to the nearest tenth:

$Volume\,\,of\,\,cone=1527.1\,\,cm^3$

So, Option C is correct.

Keywords: Volume of cone.

Learn more about Volume of cone at:

#learnwithBrainly

6 0

3 years ago