Answer:
The given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.
Step-by-step explanation:
Given
[tex]f\left(x\right)\:=\:x^2\:+\:x^3\:-\:11x^2\:-\:9x\:+\:18[/tex]
We know the rational zeros theorem such as:
if [tex]x=c[/tex] is a zero of the function [tex]f(x)[/tex],
then [tex]f(c) = 0[/tex].
As the [tex]f\left(x\right)\:=\:x^2\:+\:x^3\:-\:11x^2\:-\:9x\:+\:18[/tex] is a polynomial of degree [tex]4[/tex], hence it can not have more than [tex]4[/tex] real zeros.
Let us put certain values in the function,
[tex]f(5) = 448[/tex], [tex]f(4) = 126[/tex], [tex]f(3) = 0[/tex], [tex]f(2) = -20[/tex],
[tex]f(1) = 0[/tex], [tex]f(0) = 18[/tex], [tex]f(-1) = 16[/tex], [tex]f(-2) = 0[/tex], [tex]f(-3) = 0[/tex]
From the above calculation results, we determined that [tex]4[/tex] zeros as
[tex]x = -3, -2, 1,[/tex] and [tex]3[/tex].
Hence, we can check that
[tex]f(x) = (x+3)(x+2)(x-1)(x-3)[/tex]
Observe that,
[tex]for x > 3[/tex], [tex]f(x)[/tex] increases rapidly, so there will be no zeros for [tex]x>3[/tex].
Therefore, the given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.
Answer:
Step-by-step explanation:
A
Find the probability. A cooler contains fifteen bottles of sports drink: seven lemon-lime flavored and eight orange flavored. You randomly grab a bottle and give it to your friend. Then, you randomly grab a bottle for yourself. You and your friend both get lemon-lime. 3 13 ≈ 0.231 4 9 ≈ 0.444 1 5 = 0.2 4 15 ≈ 0.267
Answer:
[tex]\dfrac{4}{15} \approx \bold{0.267}[/tex]
Step-by-step explanation:
Given that:
Number of lemon - lime flavored bottles = 8
Number of orange flavored bottles = 7
Bottles are picked one by one.
First for the friend and then for the person himself.
To find:
The probability that both the bottles drawn are of lemon-lime flavor.
Solution:
Total number of bottles available in the cooler = 8 + 7 = 15
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
[tex]P(First\ lemon-lime) = \dfrac{8}{15}[/tex]
Now, lemon - lime flavored bottles left = 7
Total number of bottles left = 14
[tex]P(Second\ lemon-lime)=\dfrac{7}{14}[/tex]
Required probability:
[tex]P(Both\ lemon - lime) = \dfrac{8}{15}\times \dfrac{7}{14}\\\Rightarrow P(Both\ lemon - lime) = \dfrac{4}{15} \approx \bold{0.267}[/tex]
MARKING BRAINLIEST
THIS IS FAIRLY EASY BUT I NEED HELP STAT
Answer:
Step-by-step explanation:
Not sure if you need to show work.
Which expression is equivalent to 16+2x36
Answer:
36 x 2 + 16?
Step-by-step explanation:
The expression is equivalent to 16+2x36 would be; 2( 8 + 36)
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
Noted that Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We have been given an equation as;
16+2 x 36
Take factor out 2.
2( 8 + 36)
This could be an equivalent expression .
Solving both equations gives the same result.
Learn more about expression here;
https://brainly.com/question/14083225
#SPJ6
Please answer this I wil give brainlist
Answer:
The answer should be continuous
Step-by-step explanation:
The answer is Continuous
Estimate the square root to the nearest integer.
Answer:
9.5
Step-by-step explanation:
Mark brainlyist please I've already done this before
Given 4x + 4y = 32 and x = 4, what is the value of y?
y =
Please help! This is urgent! Giving Braniest to the fastest answer!
Answer:
[tex] \theta = \frac{\pi^c}{3} [/tex]
Step-by-step explanation:
Length of arc of a circle is given by the formula:
[tex] l= \frac{\theta}{360\degree} \times 2\pi r\\\\[/tex]
[tex] Plug\: l = \pi, \: r = 3[/tex] in the above equation, we find:
[tex] \pi= \frac{\theta}{360\degree} \times 2\pi \times 3\\\\[/tex]
[tex] \pi= \frac{\theta}{360\degree} \times 6\pi \\\\[/tex]
[tex] \pi= \frac{\theta}{60\degree} \times \pi \\\\
\theta = \frac{\pi\times 60\degree}{\pi } \\\\
\theta = 60\degree \\\\
\theta = 60\times \frac{\pi^c}{180} \\\\
\huge\red {\boxed {\theta = \frac{\pi^c}{3}}}
[/tex]
Describe the key differences between commercial banks and credit units.
17(w-4) +3w -27
Helpppo
Answer:
w = 19/4
Step-by-step explanation:
Solve for w:
-27 + 17 (w - 4) + 3 w = 0
17 (w - 4) = 17 w - 68:
17 w - 68 + 3 w - 27 = 0
Grouping like terms, 17 w + 3 w - 68 - 27 = (17 w + 3 w) + (-27 - 68):
(17 w + 3 w) + (-27 - 68) = 0
17 w + 3 w = 20 w:
20 w + (-27 - 68) = 0
-27 - 68 = -95:
20 w + -95 = 0
Add 95 to both sides:
20 w + (95 - 95) = 95
95 - 95 = 0:
20 w = 95
Divide both sides of 20 w = 95 by 20:
(20 w)/20 = 95/20
20/20 = 1:
w = 95/20
The gcd of 95 and 20 is 5, so 95/20 = (5×19)/(5×4) = 5/5×19/4 = 19/4:
Answer: w = 19/4
Select the correct answer.
Solve .
A.
B.
C.
D.
Answer: d or b if not both of them a is your answer then hope this helps.
Step-by-step explanation:
Equivalent Ratios
х
у
3
4
9
?
1824
What number is missing from the table of equivalent ratios?
A)
10
B)
12
C)
15
D)
16
please show your work !!!!!!!!!!!!
Answer:
[tex](3.4)[/tex]
Step-by-step explanation:
Our equation is [tex]f(x)=-2(x-3)^2+4[/tex] Now there are 2 ways you can do this, I'll show you the shortcutIf you have an equation like this, just take the value in parenthesis and equate it to zero[tex]x-3=0.x=3[/tex] is the x of the vertexPut this back into the equation[tex]f(x)=-2(x-3)^2+4\\x=3\\f(3)=-2(3-3)^2+4\\f(3)=-2(0)^2+4=4[/tex] this is the yYan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stops to see how much farther he has to go. If Yan made 8 stops with no extra steps, which expression best shows another way to write the product of the number of ladder rungs that Yan climbed?
A. 4 + 4 + 4 + 4
B. 8 + 8 + 8 + 8
C. (-1) (4 + 4 + 4 + 4)
D. (-8) + (-8) + (-8) + (-8)
Answer: B
Step-by-step explanation:
i think it is B
Answer:
c
Step-by-step explanation:
Jelissa walked 6 miles in 90 minutes. If she continues at this rate.joe long would it take her to travel 8 miles?
Answer 120
Step-by-step explanation: first you see how long it took one mile which is 15 minutes and then you just do 15 x 8.
2 In Table 1. how many cups of flour would you need
to make 90 cookies by using ratio tables
Answer:
d
Step-by-step explanation:
solve for n. 15n / 15 = 534 / 15 and 4n / 4 = 307 / 4 **PLEASE ONLY ANSWER IF U KNOW BOTH OF THEM**
Answer: 35.6 and 76.75
Step-by-step explanation:
15n/15 = 534/15
n = 35.6
----
4n/4 = 307/4
n = 76.75
Answer:
1st answer: 35.6 or 35 3/5
2nd answer: 76.75 or 76 3/4
Hope this helps!
Step-by-step explanation:
Got you dude
15n/15=534/15
So 15 * something divided by 15 = 35.6
Let's get rid of the /15 by multiplying it by 15. So we can "cancel it out."
15n=534
something * 15=534
/15*15 to cancel it out.
534/15.... before you do that, rembeber we mulitplied it by 15, then divided it by 15? so it'd be n=35.6
NEXT QUESTION BOIIIIIII
4n/4= 307/4
hmmm :/
there are 2 "divide 4" how about we mulitply both sides by 4.
4n=307
Pretty easy right?
307/4=76.75
n=76.75
Lana will sew 2 blankets for each of her grandchildren. How many blankets will she sew if she has 4 grandchildren?
Answer:
8 blankets
Step-by-step explanation:
4x2=8
Answer:
8 blankets.
Step-by-step explanation:
If Lana was 4 grandchildren, you would multiply 4x2 which is 8.
Write the equations that model this problem:
Sanji bought 5 pears and 3 apples for $5.80. Ursula bought 10 pears and 7 apples for
$12.20.
How much world a pears cost and apples
Express 5 3/4 as a decimal.
The value of y is directly proportional to the value of x. If y = 45 when x = 180, what is the value of y when x=90
Answer: 22.5
Step-by-step explanation:
The formula for.direct proportion will be:.
y = kx
Since y = 45, x = 180
45 = 180k
k = 45/180
k = 1/4 = 0.25
When x = 90
Since y = kx
y = 0.25 × 90
y = 22.5
y = -3x + 9
Find the slope and y-intercept of the graph of the linear equation!!
Please explain how!!!
Hats (x) cost $5 and scarves (y) cost $8. Joel can spend at most $40. Write and graph an inequality for each situation
Answer:
5x+8y<=40
Step-by-step explanation:
Put decimals in order from smallest to largest and then find the median?
Answer:
0.11,0.4,0.42,0.5,0.8. The median would be 0.446
The cost of renting a jet ski for a certain number of hours can be modeled by = 40 + 50.
How much does it cost per hour? What is the fee?
How much would it cost to rent for 3 hours? How many hours would you have to rent it to pay $290?
HELP ASAP, WILL GIVE BRAINLIEST
Which are correct statements regarding proofs? Select three options.
A) In a paragraph proof, statements and their justifications are written in sentences in a logical order.
B) A two-column proof consists of a list statements and the reasons the statements are true.
C) A flowchart proof gives a visual representation of the sequence of steps without justifications.
D) A flowchart proof is a visual way of describing the statements and reasons for a proof.
E) A two-column proof lists only the given information and what is to be proven.
Answer:
ADE
Step-by-step explanation:
I am just good
Answer:
ade
Step-by-step explanation:
you can give em brainliest now
(9r - 5 ) - ( -4r + 9 ) Can you subtract the expression
Answer:
13R - (-14)
Step-by-step explanation:
I believe this is the right answer i really hope it is im sorry if its wrong
Have a good day!
Answer -36r^2 + 101r - 45
Step-by-step explanation:
3 miles below sea level
Answer:
the answer would be -3 since it's below.
A television costs $610 this week after costing $745 last week. What was
the percent of change in its cost? Identify as an increase or decrease.
Round to the nearest whole number percent, if necessary.
What is the slope of the line that contains the points (13, -2) and (3,-2)?
In a survey of people who owned a certain type of car, said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
nothing% of the people surveyed were satisfied with the car.
Answer:
3
Step-by-step explanation: