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Blababa [14]
3 years ago
8

Two roots of a third degree polynomial function f(x) are –4 and 4. Which statement describes the number and nature of all roots

for this function?
f(x) has three imaginary roots.
f(x) has three real roots.
f(x) has two real roots and two imaginary roots.
f(x) has three real roots and one imaginary root.
Mathematics
2 answers:
Helen [10]3 years ago
7 0

Answer:

Three real roots

Step-by-step explanation:

marta [7]3 years ago
4 0

Answer:

Step-by-step explanation:

A third degree polynomial has a <em>total of three roots</em>, real and imaginary combined.

If it already has 2 real roots, -4 and +4, then it has to have three real roots because imaginary roots come in conjugate pairs, i.e. they come in even numbers.

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Find the average speed Distance:1,375km Time: 2 hours 5 minutes
Murljashka [212]

Answer:

550km/h

Step-by-step explanation:

v (speed) = d/t

v = 1375/2.5

v =550

6 0
2 years ago
Help find out what the x is please
miss Akunina [59]

Answer:

x=4

Step-by-step explanation:

First you want to add 8.8 to 7.2 and get 16 because you want to get x alone

Next divide divide 4x on both sides so 4x/4x cross out and left with just x. 16/4 =4

x=4

Hope this helps!


6 0
4 years ago
Read 2 more answers
In a shoe store window, Sandy sees a sign announcing twenty-five percent off all sandals in stock. She finds a pair she likes th
katovenus [111]
Step 1) Convert $25 to a decimal:

0.25

Step 2) Multiply that by the amount the sandals cost.

$0.25×$45=$11.25

Step 3) Subtract from the amount you last got.

$45-$11.25=

$33.75

And there we have it! Our answer came out to $33.75.
So, with the 25% off, Sandy is now only paying $33.75 instead of $45.
3 0
4 years ago
Read 2 more answers
The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci
4vir4ik [10]

Answer:

(a) The confidence interval is: 0.0304 ≤ π ≤ 0.0830.

(b) Upper confidence bound = 0.0787

Step-by-step explanation:

(a) The confidence interval for p (proportion) can be calculated as

p \pm z*\sigma_{p}

\sigma=\sqrt{\frac{\pi*(1-\pi)}{N} }\approx\sqrt{\frac{p(1-p)}{N} }

NOTE: π is the proportion ot the population, but it is unknown. It can be estimated as p.

p=17/300=0.0567\\\\\sigma=\sqrt{\frac{p(1-p)}{N} }=\sqrt{\frac{0.0567(1-0.0567)}{300} }=0.0134

For a 95% two-sided confidence interval, z=±1.96, so

\\LL = p-z*\sigma=0.0567 - (1.96)(0.0134) = 0.0304\\UL =p+z*\sigma= 0.0567 + (1.96)(0.0134) = 0.0830\\\\

The confidence interval is: 0.0304 ≤ π ≤ 0.0830.

(b) The confidence interval now has only an upper limit, so z is now 1.64.

UL =p+z*\sigma= 0.0567 + (1.64)(0.0134) = 0.0787

The confidence interval is: -∞ ≤ π ≤ 0.0787.

5 0
3 years ago
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
vesna_86 [32]

Answer:

x+2

Step-by-step explanation:

we know that

To find out the factors of a polynomial, determine the x-intercepts or zeros of the polynomial

Remember that

The x-intercepts of a polynomial are the values of x when the value of the polynomial is equal to zero

In this problem

Looking at the graph

For x=-2, f(x)=0

so

x=-2 is an x-intercept or zero of the polynomial

To find out the factor move the constant to the left side and equate to zero

x=-2

adds 2 both sides

x+2=-2+2\\x+2=0

therefore

The factor is (x+2)

5 0
3 years ago
Read 2 more answers
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