answer.
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
Fofino [41]
2 years ago
13

One factor of f(x) = x3 − 14x2 + 61x − 84 is (x − 7). What are the zeros of the function?

Mathematics
2 answers:
lidiya [134]2 years ago
6 0

Answer:

  7, 4, 3

Step-by-step explanation:

Using Descartes' rule of signs, you can determine there are zero negative real roots. The above answer choice is the only one with no negative zeros listed.

_____

The count of negative real roots is based on the number of sign changes when the signs of odd-degree terms are reversed. Doing that gives the signs of the terms as  - - - -, so there are no changes. That means there are no negative real roots.

A graphing calculator confirms this choice.

lidiya [134]2 years ago
4 0

Answer:

7,4,3

Step-by-step explanation:

You might be interested in
A marketing firm is considering making up to three new hires. Given its specific needs, the management feels that there is a 50%
IRISSAK [1]

Answer:

a) 0.9

b) Mean = 1.58

Standard Deviation = 0.89

Step-by-step explanation:

We are given the following in the question:

A marketing firm is considering making up to three new hires.

Let X be the variable describing the number of hiring in the company.

Thus, x can take values 0,1 ,2 and 3.

P(x\geq 2) = 50\%= 0.5\\P(x = 0) = 10\% = 0.1\\P(x = 3) = 18\% = 0.18

a) P(firm will make at least one hire)

P(x\geq 2) = P(x=2) + P(x=3)\\0.5 = P(x=2) + 0.18\\ P(x=2) = 0.32

Also,

P(x= 0) +P(x= 1) + P(x= 2) + P(x= 3) = 1\\ 0.1 + P(x= 1) + 0.32 + 0.18 = 1\\ P(x= 1) = 1- (0.1+0.32+0.18) = 0.4

\text{P(firm will make at least one hire)}\\= P(x\geq 1)\\=P(x=1) + P(x=2) + P(x=3)\\ = 0.4 + 0.32 + 0.18 = 0.9

b) expected value and the standard deviation of the number of hires.

E(X) = \displaystyle\sum x_iP(x_i)\\=0(0.1) + 1(0.4) + 2(0.32)+3(0.18) = 1.58

E(x^2) = \displaystyle\sum x_i^2P(x_i)\\=0(0.1) + 1(0.4) + 4(0.32) +9(0.18) = 3.3\\V(x) = E(x^2)-[E(x)]^2 = 3.3-(1.58)^2 = 0.80\\\text{Standard Deviation} = \sqrt{V(x)} = \sqrt{0.8036} = 0.89

7 0
2 years ago
Based on the graph shown to the right, whose phones cost varies directly with the amount of time spent talking?
Lena [83]

Answer:

B

Step-by-step explanation:

Given 2 quantities that vary directly, then the graph must pass through the origin.

Nikiya's graph is the only one to do this ⇒ B



8 0
2 years ago
Read 2 more answers
PLS HELP ASAP I WILL IVE BRAINLIST ANSWER!!!!!Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using thi
Juliette [100K]

Answer:

Leon is correct. (Option 1)

Step-by-step explanation:

Given that Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure.

Step 1: Find the greatest common factor of the given lengths: 7

Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5

Step 3: Verify that the lengths found in step 2 form a Pythagorean triple.

we have to explain whether or not Leon is correct.

As, 3,4,5 forms a Pythagorean triplet i.e satisfies the Pythagoras theorem

Hypotenuse^2=Base^2+Perpendicular^2

⇒ 5^2=3^2+4^2

Let a, b, c forms a Pythagorean triplet

a^2+b^2=c^2

Multiplied by 4 on both sides

⇒ 4a^2+4b^2=4c^2

⇒ {2a}^2+{2b}^2={2c}^2

Hence, we say 4a, 4b and 4c also forms a Pythagorean triplet.

∴ multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.

Hence, Leon is correct.

4 0
2 years ago
Read 2 more answers
Subtract 4 ounces from 5 pounds.
malfutka [58]
Answer is 4 lb.,12 oz. As one pound has 16 ounces. When we convert the given 5 lb. into ounces we multiply it by 16. 5 lb = 5 x 16 oz 5 lb = 80 oz When we subtract 4 oz from 80 oz We get 80 - 4 = 76 oz Which is 64 oz + 12 oz (16 x 4) oz + 12 oz Which will be 4 lb. + 12 oz So the answer will be 4 lb., 12 oz.
6 0
2 years ago
Alinethatincludesthepoint(6, 3)hasaslopeof 2 . what isitsequationin slope -intercept form?
Marianna [84]
Hi Kay, the point-slope form of a line is given by: y - y1 = m(x - x1). Substituting the given point, (6, -8), and the slope, -2, gives: y - (-8) = -2 * (x - 6) This becomes: y + 8 = -2x + 12
3 0
1 year ago
Other questions:
  • If g = 77 cm and h = 85 cm, what is the length of f?
    13·1 answer
  • Together, Katya and Mimi have 480 pennies in their piggy banks. After Katya lost ½ of her pennies and Mimi lost 2/3 of her penni
    14·2 answers
  • Bamboo plants can grow 91 centimeters per day. what is the approximate growth of the plant inches per day
    7·2 answers
  • Serena estimates that she can paint 60 square feet of wall space every half -hour .Write a equations for the relationship with t
    9·1 answer
  • A question of medical importance is whether jogging leads to a reduction in one’s pulse rate. To test this hypothesis, 8 nonjogg
    7·1 answer
  • When the Foresthill Wildfire band returned from a recent competition, 24 of the students attended school before realizing they h
    5·1 answer
  • Each of the three oldest children sleeps in a twin bed. They all need bed sheets. A brand of sheets is on sale for “Buy one get
    6·1 answer
  • You have $60 and your sister has $120. You are saving $14 per week and your sister is saving $10 per week. How
    5·1 answer
  • Two ocean beaches are being affected by erosion. The table shows the width, in feet, of each beach measured at high tide where 1
    11·1 answer
  • A coordinate grid with one line labeled 3 y equals 2 x minus 9. The line passes through points at (0, negative 3) and (3, negati
    16·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!