if x = -3 is a zero of f(x), which of the following must be true?
a) A factor of f(x) is (x – 3)
b) A factor of f(x) is (x + 3)
c) x = 3 is also a zero
d) f(x) has no real solutions
Answers
Answer: B
Step-by-step explanation: You make the values in the parentheses equal to zero.
(X + 3) = 0
X = -3
A is wrong because the root would be 3, not negative 3. C is wrong because 3 isn’t guaranteed to be a root. D is wrong because -3 is a real solution.
Related Questions
Suppose a purchasing manager wants to determine the average cost of machined metal parts in the US. How many machined metal parts would they have to sample? The manager wants to be 90% confident with a margin of error of 6.74. Suppose that the costs of the metal parts ranges from 93 to 220. When entering the values into JMP, round the planning value for the standard deviation to four values after the decimal. Round final answer as you normally would.
Answers
Answer:
they will have to sample 60 machined metal parts
Step-by-step explanation:
Given that;
Margin of Error E = 6.74
at 90% Confidence Interval, z = 1.645 { from table }
Range R = maximum range - minimum range = 220 - 93 = 127
standard deviation σ = R / 4 = 127/4= 31.7500
How many machined metal parts would they have to sample n = ?
to get our sample size, we use the following formula
n = [ zσ / E ]²
we substitute in our values
n = [ 1.645 × 31.7500 / 6.74 ]²
n = [ 52.2287 / 6.74 ]²
n = [ 7.7490 ]²
n = 60.047 ≈ 60
Therefore, they will have to sample 60 machined metal parts
You can use the margin of error with the z value and standard deviation to get the result.
The number of metal machine parts would be 60.
Given that:The confidence level needed is 90%The margin of error is 6.74The cost of metal parts ranges from 93 to 200To find:The number of machined metal parts that have to be sampled.
Finding the range of the distribution:Range = Max. value - min. value = 220 - 93 = 127
Finding the standard deviation:The standard deviation is approximately the quarter of the range of the distribution.
Thus, [tex]\sigma = 127 \div 4 = 31.75[/tex]
For 90% confidence, the z value is 1.645 (from z tables)
Thus, from the formula for size of sample, we have:
[tex]n = (\dfrac{z\sigma}{E})^2 = (\dfrac{1.645 \times 31.75}{6.74})^2 = (7.749)^2 \approx 60[/tex]
The number of metal machine parts would be 60.
Learn more about sample size here:
https://brainly.com/question/25894237
Is the number of increments in part B positive or negative?
Answers
positive
Step-by-step explanation:
Answer:
The number of increments is positive.
Step-by-step explanation:
got it on edmentum :)
What is 2/3÷6 over five
Answers
In the diagram below, AB is parallel to CD. What is the value of x?
B
459
A. 30
B. 45
C. 60
D. 135
Answers
Answer:
Could you show the diagram?
Triangle PQR has vertices P(-2,8), 0(2,4), and R(4.6). Which best describes triangle PQR?
a right triangle with PQ QR
a right triangle with PQ PR
an isosceles triangle with PQ=QR
an isosceles triangle with PQ=PR
Answers
Answer:an icosceles triangle with pq qr
Step-by-step explanation:
can I get an answer please
Answers
Answer:
the second one I'm pretty sure
Step-by-step explanation:
Answer:
its definitely B
Step-by-step explanation:
Write an inequality for the statement. The sum of a number and nine is less than thirty.
Answers
Answer:
x + 9 < 30
"a number" is x and it's the sum (addition) of that and 9 which is less (<) than 30
Hey guys this is my new account it used to be SimpForLucy SimpForKirishima but now ill just be doing normal stuff for now on since iv'e been a disgrace to you guys
Answers
In the same circle or in congruent circles:
Congruent central angles determine, arcs
Congruent central angles determine blank
arcs,
Options. Congruent minor
Distinct minor
Equidistant
Infinitely many
Three
Answers
Answer:
congruent minor
Step-by-step explanation:
two congruent circle are corresponding minor
a ferry boat leaves the dock once per hour your waiting time for the next ferry will follow a uniform distribution from 0 to 60 minutes
Answers
Find the length of side x in simplest radical form with a rational denominator.
60
X
5
30
Answers
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
Sin 30 = 5/x
Sin 30 = 1/2
x = 10
The length of the side x is 10.
What are trigonometric identities?
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
The length of side x can be calculated using the trigonometric identities.
We know that,
Sin x = Perpendicular / Hypotenuse
Sin 30 = 5 / x
1/2 = 5/x
Multiply 2 on both sides.
1= 10/x
x = 10
Thus,
The length of the side x is 10.
Learn more about trigonometric identities here:
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#SPJ2
Melanie got a new employer pay job through the Jones recruitment agency the job pays $52,400 per year and the agency fee is equal to 25% of one years pay how much must Melanie‘s employer pay the agency
Answers
Answer:
the amount that pay to the agency is $1,091.67
Step-by-step explanation:
The computation of the amount that pay to the agency is as follows:
= Amount paid per year ÷ number of months × 25%
= $52,400 ÷ 12 months × 25%
= $1,091.67
Hence, the amount that pay to the agency is $1,091.67
We simply applied the above formula so that the correct amount could come
What is 23.93 in to a percent pls help pls pls pls pls pls
Answers
Answer:
it is : 2393%
Step-by-step explanation:
Please help!!!!!!!!!!
Answers
Answer: angle 1 = 51, angle 2 = 18, angle 3 = 123, angle 4 = 39
Step-by-step explanation:
72+57=129 180-129= 51 degrees for 1
90-72= 18 degrees for 2
180-57= 123 degrees for 3
123+18=141 180-141= 39 degrees for angle 4
The manager of a magazine wants to estimate the percent of magazine subscribers who approve of a new cover format. To gather data, the manager will select a random sample of subscribers. Which of the following is the most appropriate interval for the manager to use for such an estimate?
a) A two-sample z-interval for a difference between sample proportions
b) A two-sample z-interval for a difference between population proportions
c) A one-sample z-interval for a sample proportion
d) A one-sample z-interval for a population proportion
e) A one-sample z-interval for a difference between population proportions
Answers
Answer: d) A one-sample z-interval for a population proportion
Step-by-step explanation:
For the scenario described above, since only a single sample pool is required from a single population, then ; The one sample Z interval for a population proportion is required ;
The interval may be calculated using the relation :
Z = (p - p0) / √[(p0(1 - p0)) / n]
p = observed proportion ;
p0 = mean or hypothesized value
n = sample size
Answer:
A two-sample z -interval for a difference in population proportions
Explanation:
A two-sample z-interval is appropriate for estimating the difference between two population proportions.
The graph of the function f(x) = (x + 2)(x - 4) is shown.
A. all real values of x where x < -2
B. all real values of x where -2
C. all real values of x where 1
D. all real values of x where x <0
Answers
Answer:
B) All real values of 'x' where -2 < x< 4
Step-by-step explanation:
Explanation:-
Given function f(x) = (x +2 ) ( x-4)
(x+2)(x-4) =0
⇒ x +2 =0 and x-4=0
⇒ x =-2 and x=4
From graph
Given parabola lies between the x=-2 and x =4
∴ All real values of 'x' lies between x=-2 and x =4
All real values of 'x' lies -2 < x< 4
Ashley deposit $100 into a savings account. The account is 2% compounded annually. What is the balance in Ashley's account after 2 years?
Answers
Answer:
104.40
Step-by-step explanation:
100 * 2% = 102
102 * 2% =104.4
PLEASE HELP
Simplify the expression 5^3+3(5-3)
A.137
B.131
C.27
D.21
Answers
Answer:
the correct answer is 131
Step-by-step explanation:
5^3 +3(2)
= 125 +6
=131
Help!!!
The bike store marks up the wholesale cost of all of the bikes they sell by 50%. Andre wants to buy a bike that has a price tag of $250. What was the wholesale cost (before the price markup) of this bike? Round to the nearest hundredth (cent). Remember your units ($ sign).
The bike store marks up the wholesale cost of all of the bikes they sell by 50%. Andre wants to buy a bike that has a price tag of $250. If the bike is discounted (on sale) by 40%, how much will Andre pay (before taxes)?
With a coupon, you can get a pair of shoes that normally costs $184 for only $114. What percentage was the discount? Round to the nearest HUNDREDTH. Remember your units (% sign).
Answers
9514 1404 393
Answer:
a) $166.67
b) $150
c) 38.04%
Step-by-step explanation:
a) The selling price (s) is the sum of the wholesale price (w) and the markup (m).
s = w + m
We have ...
250 = w + 0.50×w
250/1.50 = w = 166 2/3 ≈ 166.67
The wholesale cost of the bike is $166.67.
__
b) The price of the bike after the discount is 100% -40% = 60% of the tagged price:
0.60 × $250 = $150 . . . . . the discounted price
(Aside: we note this is less than the wholesale price, so the store is taking a loss on the bike when it is discounted this much.)
__
c) The percentage change is found by ...
percent change = ((new value)/(old value) -1) × 100%
= (114/184 -1) × 100% = (0.619565 -1) × 100% ≈ -38.04%
The discount is about 38.04%.
3 consecutive integers for 273
Answers
Answer:
90, 91 and 92
Step-by-step explanation:
Given
Consecutive integers = 273
Required
Find the integers
The question seem to be incomplete. However, I'll assume we're dealing with sum.
Let the smallest integer be y.
So,
y + y + 1 + y + 2 = 273
Collect like terms.
y + y + y = 273 - 2 - 1
3y = 270
Divide both sides by 3
y = 90
Hence, the integers are 90, 91 and 92
The selling price of a refrigerator is $487.20. If the mark up is 5% of the dealers cost what is the dealers cost of the refrigerator
Answers
Answer:
$464Step-by-step explanation:
Let the cos be x, then selling price is:
x + 5% = x*1.05 = 1.05xWe have the selling price $487.20
1.05x = 487.20x = 487.20/1.05x = 464Cost price is $464
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!
Answers
Just multiply each side by 2 or divide by 1/2
Jonny makes $15 per hour working at Target. He gets a bonus
at the end of the month for $85. This month, he made a total of $685.
Write an equation to show how many hours he worked. *
Answers
Step-by-step explanation:
he get one hour=15$
he get bonus end of the month=85$
total 685$- bonus 85$=600$600$÷one hour 15$= 40 hoursthe commutator of S3
Answers
solve for x: x/-5+6≤2
Answers
Answer:
x ≥ 20
Step-by-step explanation:
hope this helps!
Answer:
x>= 20 or 20≤x
Step-by-step explanation:
Isolate x
Subtract 6 from both sides:
x/-5<=-4
Multiply both sides by -5, and switch the inequality sign bc u multiplied by a negative number:
x>= 20
I need help I'm in 6th grade I use to have all f but I changed it into a,b,c can someone plss help so I don't fail
Answers
Answer:
um what
Step-by-step explanation:
Help ASAP please giving brainliest!!
Answers
Answer:
2 hours
Step-by-step explanation:
the step function f of x is graphed what is the value of f of 0?
Answers
Answer:
AYYYYYYYYYYYY YO IS SNOOP DOGG
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
what is the cos 30°?
Answers
temperature. ?????? don't understand
is 3 square root / 2
Angle relationships, find the measure of angle “b”.
Answers
Answer:
1: b= 68 2: b=42 3: b=78 4: b=80
Step-by-step explanation:
whenever the Angle is congruent it will be the same