1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
skad [1K]
3 years ago
12

Which function is (x-1) a real root?

Mathematics
1 answer:
Zina [86]3 years ago
4 0

Answer:

D

Step-by-step explanation:

According to the Factor Theorem:

In order for a factor in the form of (x-a) to be a root for a function f(x), f(a) must be 0.

Our factor is (x-1).

Therefore, a=1.

So, we will evaluate f(1) for all the choices.

Doing so, we can see that, starting from the top, we have:

\begin{aligned}f_1(1)&=-12\\ f_2(1) &=8 \\ f_3(1)&=24 \\ f_4(1)&=0 \end{aligned}

The choice that yields 0 as an answer is D.

So, the function for which (x-1) is a real root is choice D.

You might be interested in
Simplify: 2(x+6) show work please
vagabundo [1.1K]

Answer:

2x + 12

Step-by-step explanation:

2(x + 6) =

2(x) + 2(6) =

2x + 12

Hope that helps!

3 0
3 years ago
Read 2 more answers
The math club is selling T-shirts to raise money. Each T-shirt sold represents a profit of $2. The club has a total of 500 T-
vova2212 [387]

Answer:

2 < or equal to (t) < or equal to 1000

Step-by-step explanation:

2 is the profit of the (t) amount of t shirts so the amount should be greater than or equal too 1000 because if they have 500 shirts 500 x 2 is 1000

3 0
2 years ago
Uninhibited growth can be modeled by exponential functions other than​ A(t) ​=Upper A 0 e Superscript kt. For ​ example, if an i
laila [671]

The question is incomplete. Here is the complete question.

Uninhibited growth can be modeled by exponential functions other than A(t)=A_{0}e^{kt}. for example, if an initial population P₀ requires n units of time to triple, then the function P(t)=P_{0}(3)^{\frac{t}{n} } models the size of the population at time t. An insect population grows exponentially. Complete the parts a through d below.

a) If the population triples in 30 days, and 50 insects are present initially, write an exponential function of the form P(t)=P_{0}(3)^{\frac{t}{n} } that models the population.

b) What will the population be in 47 days?

c) When wil the population reach 750?

d) Express the model from part (a) in the form A(t)=A_{0}e^{kt}.

Answer: a) P(t)=50(3)^{\frac{t}{30} }

              b) P(t) = 280 insects

              c) t = 74 days

             d) A(t)=50e^{0.037t}

Step-by-step explanation:

a) n is time necessary to triple the population of insects, i.e., n = 30 and P₀ = 50. So, Exponential equation for growth is

P(t)=50(3)^{\frac{t}{30} }

b) In t = 47 days:

P(t)=50(3)^{\frac{t}{30} }

P(47)=50(3)^{\frac{47}{30} }

P(47)=50(3)^{1.567}

P(47) = 280

In 47 days, population of insects will be 280

c) P(t) = 750

750=50(3)^{\frac{t}{30} }

\frac{750}{50}=(3)^{\frac{t}{30} }

(3)^{\frac{t}{n} }=15

Using the property <u>Power</u> <u>Rule</u> of logarithm:

log(3)^{\frac{t}{30} }=log15

\frac{t}{30}log(3)=log15

t=\frac{log15}{log3} .30

t = 74

To reach a population of 750 insects, it will take 74 days

d) To express the population growth into the described form, determine the constant k, using the following:

A(t) = 3A₀ and t = 30

A(t)=A_{0}e^{kt}

3A_{0}=A_{0}e^{30k}

3=e^{30k}

Use Power Rule again:

ln3=ln(e^{30k})

ln3=30k

k=\frac{ln3}{30}

k = 0.037

Equation for exponential growth will be:

A(t)=50e^{0.037t}

3 0
3 years ago
This table shows the starting and ending temperature for eight days.
antiseptic1488 [7]
For this case, what you should do is use any computational tool and graph the data in the table. For example, I used excel.
 In the x axis we have Starting temperature and in the axis of the y we have Ending temperature.
 You can see how the diagram varies almost linearly.

6 0
3 years ago
Read 2 more answers
What is the y-intercept of the liner function? (y=3x-2)
inysia [295]

The y-intercept of the linear function y = 3x - 2 is -2

<h3>How to determine the y-intercept?</h3>

The function is given as

y = 3x - 2

The above function is a linear function, and the y-intercept is the point on the graph, where x = 0 i.e. the point (0, y)

As a general rule, linear functions are those functions that have constant rates or slopes

Next, we set x to 0, and calculate y to determine the value of the y-intercept

y = 3(0) - 2

Remove the bracket in the above equation

y = 3 * 0 - 2

Evaluate the product of 3 and 0 i.e. multiply 3 and 0

y = 0 - 2

Evaluate the difference of 0 and -2 i.e. subtract 0 from 2

y = -2

The above means that the value of y when x is 0 is -2

Hence, the y-intercept of the linear function y = 3x - 2 is -2

Read more about y-intercept at:

brainly.com/question/14180189

#SPJ1

4 0
2 years ago
Other questions:
  • Joey is buying plants for his garden. He wants to have at least twice as many flowering plants as nonflowering plants and a mini
    5·2 answers
  • Mary spent half of her allowance going to the movies. She washed the family car and earned seven dollars. What is her weekly all
    7·2 answers
  • Are the factors of number also the divisor
    11·1 answer
  • What is the value of x in the equation 0.7 x - 1.4 = -3.5
    12·1 answer
  • There are 6 red marbles 4 blue marbles to yellow marbles. Sabrina picks 2 marbles without putting the first one back what is the
    5·1 answer
  • Question 17 options:
    5·1 answer
  • Pls help me with this friends
    5·2 answers
  • PLSSS HELP IF YOU TURLY KNOW THISS
    6·2 answers
  • Ya'll how do I graph this? I haven't graphed anything in 3 years
    12·1 answer
  • True or False? A circle could be circumscribed about the quadrilateral below
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!