Answers
Answer:
Option a
Step-by-step explanation:
One way to solve part of this is to look at the values of y between each x intercept.
Our x intercepts (or when y=0) occur when x=-2, x=1, and x=3. We know this by looking at the graph.
First, we have the space when x is between -∞ and -2. This is negative on the graph, and as a result, there should be an odd number of negatives as an odd number of negative numbers multiplied by each other is negative.
For a, (x+2) is negative when x is between -∞ and -2, (x-1) is negative, and (x-3) is negative as well. So far, this works
For b, we have to count (x-3) twice because it is squared. (x+2) is negative, (x-1) is negative, and (x-3) is negative twice. This is 4 negatives, so it doesn't work. This implies that between x=-∞ and x=-2, y is positive, which isn't the case
For c, (x+2) is negative, (x-3) is negative, and (x-1) is positive twice, making it 4 negatives and letting us rule it out
For d, (x-1) is negative, (x-3) is negative, and (x+2) is negative twice, making it 4 negatives and letting use rule it out
For e, (x-1) is negative, (x-3) is negative, and (x+2) is negative 3 times, making it 5 negatives and letting us keep it
After our first set of checks, we can see that only a and e are possibilities. Because the only thing separating the two possibilities is (x+2)², which is always positive past x=-2, and multiplying a number by a positive keeps its sign (e.g -5 * 5 = -25, which is still negative), all other rounds of checks would result in the same answer.
Another way to figure it out is to take an example point. We can see on the graph that when x=0, y=6. We can test that in each of our two remaining possibilities.
For a, we have (0+2)(0-1)(0-3) = (2)(-1)(-3) = 6
For e, we have (0-1)(0-3)(0+2)³ = (-1)(-3)(2)³ = (3)(8) = 24
Therefore, option a is the only one that fits, and is your answer
(x+2) is negative when x is between the interval [-∞ -2] (x-1) is negative, and (x-3) is negative as well. Option A is the only one that fits in the graph.
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
Our x-intercepts (or when y=0) occur when x=-2, x=1, and x=3. We know this by looking at the graph.
A. (x+2) is negative when x is between the interval [-∞ -2] (x-1) is negative, and (x-3) is negative as well.
B. (x+2) is negative, (x-1) is negative, and (x-3) is negative twice. This is 4 negatives, so it doesn't work. This implies that between x=-∞ and x=-2, y is positive, which isn't the case
C. (x+2) is negative, (x-3) is negative, and (x-1) is positive twice, making it 4 negatives and letting us rule it out
D. (x-1) is negative, (x-3) is negative, and (x+2) is negative twice, making it 4 negatives and letting us rule it out
E. (x-1) is negative, (x-3) is negative, and (x+2) is negative 3 times, making it 5 negatives and letting us keep it
We can see on the graph that when x=0, y=6. We can test that in each of our two remaining possibilities.
For a, we have (0+2)(0-1)(0-3)
= (2)(-1)(-3) = 6
For e, we have (0-1)(0-3)(0+2)³
= (-1)(-3)(2)³
= (3)(8) = 24
Therefore, option a is the only one that fits in the graph.
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Related Questions
Use all the six numerals 4, 5, 6, 7, 8 and 9 to form two 3-digit even numbers whose sum is smallest, and what is the sum?
Answers
Step-by-step explanation:
this Is hard to find.............
Answer:
The numbers should be even, it means the unit digits are 4, 6 or 8.
The numbers should be minimal, it means the hundred's digits are 4 and 5.
With this we have possible numbers:
4x6 and 5y8, here 6 and 8 could be exchanged.The options are:
496 and 578 or476 and 598 or498 and 576 or478 and 596The sum of the two numbers is:
1074y=5/3x + 3 in ordered pairs
Answers
0
,
−
3
)
,
(
1
,
−
4
3
)
,
(
2
,
1
3
)
Answer:
(3,8) ; (-3,-2) ; (6,13)
Step-by-step explanation:
A linear equation in Slope Intercept Form is given to us and we need to write the ordered pairs for x and y . The given equation is ,
[tex]\rm\implies y =\dfrac{5}{3}x + 3 [/tex]
For finding the ordered pairs , substitute different values of x to get different values of y.
Put x = 3 :-
[tex]\rm\implies y =\dfrac{5}{3}\times 3 + 3 [/tex]
[tex]\rm\implies y = 5+ 3 [/tex]
[tex]\rm\implies y =8[/tex]
Put x = -3 :-
[tex]\rm\implies y =\dfrac{5}{3}\times -3 + 3 [/tex]
[tex]\rm\implies y = -5+ 3 [/tex]
[tex]\rm\implies y =-2[/tex]
Put x =6 :-
[tex]\rm\implies y =\dfrac{5}{3}\times 6 + 3 [/tex]
[tex]\rm\implies y = 10+ 3 [/tex]
[tex]\rm\implies y =13[/tex]
Therefore ,
[tex]\small\implies\boxed{\rm\blue{ Odered \ Pairs \ = (3,8) ; (-3,-2) ; (6,13) }}[/tex]
!!!HELPPP PLEASE ASAP!!! I don’t know how to solve this problem nor where to start? Can some please help me out and explain how you got the answer please. Thank you for your time.
Answers
Step-by-step explanation:
a)
0.00000000007
b)
0.00000001
an experiment consists of tossing a coin five times and observing and the sequence of heads and tails. find pr
Answers
Answer:
[tex]P(TTTTT) = \frac{1}{32}[/tex]
Step-by-step explanation:
Given
[tex]n = 5[/tex] --- toss
See comment for complete question
Required
[tex]P(TTTTT)[/tex]
First, we calculate the number of possible outcomes
A coin has 2 faces; Since the coin is to be tossed 5 times;
[tex]Outcome = 2^5[/tex]
[tex]Outcome = 32[/tex]
There is only one outcome of TTTTT;
So:
[tex]P(TTTTT) = \frac{1}{32}[/tex]
With the help of scientists, farmers in the United Kingdom have been able to produce more and more grain per hectare each year. Here are the crop yields for several years:
Assuming that this trend continues, what crop yield is predicted for the year 2020 by the model? Round your answer to the nearest whole number. You must find the linear regression equation first.
A. 8,603 kg/ha
B. 8,232 kg/ha
C. 9,447 kg/ha
D. 7,382 kg/ha
Answers
Crop yield prediction in year 2020 is 9,447 kg/ha
What is linear regression ?Linear regression is an analytic statistical approach for predicting the relationships between an independent variable that determines the values of of or more dependent variables.
From the data given in the question
Equation of a straight line is y = a + bx
∑y = an + b∑x
∑xy = a∑x +b∑x²
The values are calculated in the table given below
X y x=X-1985 x² xy
1961 3090 -24 576 -74160
1968 4040 -17 289 -68680
1987 5830 2 4 11660
1992 5680 7 49 39760
2001 7630 16 256 122080
2004 8020 19 361 152380
_ _ _ _ _
∑x =11913 ∑y=34290 ∑x=3 ∑x²=1535 ∑xy=183040
Substituting the values
6a + 3b = 34290
3a + 1535b = 183040
solving the two by suitable elimination
6a + 3b = 34290
3(2a+b) = 3×11430
2a + b = 11430....(i)
and 3a + 1535b=183040....(ii)
a=173620/3067 = 5660.91
Putting a=5660.91 in (i)
2(5660.91) + b = 11430
b = 108.81
∴ a = 5660.91 and b = 108.81
Now substituting the values in the equation y=a+bx
y = 5660.91 + 108.81x
y = 5660.91 + 108.81(X-1985)
∴In 2020
y =5660.91 +108.81(2020 - 1985)
y = 9447.245
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in order to apply the law of cosines to find the length of the side of a triangle, is it enough to know which of the following?
A. The area of a triangle
B. The lengths of two of the triangle's sides and the measure of the angle between them
C. At least two of the angles of the triangle and the length of one of its sides
Answers
9514 1404 393
Answer:
B. The lengths of two of the triangle's sides and the measure of the angle between them
Step-by-step explanation:
The usual formulation of the law of cosines is something like this:
c² = a² +b² -2ab·cos(C)
where 'c' is the side opposite angle C, and 'a' and 'b' are the other two sides. That is, to use this formula directly, one needs two side lengths and the measure of the included angle.
_____
Additional comment
One can use the law of cosines to solve a triangle when any two sides and one angle are known. The use of the formula will give a quadratic in the unknown side length, if it is not the side opposite the known angle. As with the law of sines, if the angle is opposite the shorter of the two given sides, there may be two solutions for the length of the third side.
Answer:
The answer is B.)
Step-by-step explanation:
Find Y. round to the nearest tenth.
Answers
9514 1404 393
Answer:
32.7°
Step-by-step explanation:
Solve the given equation for C, then fill in the given values and evaluate.
C = arccos((a² +b² -c²)/(2ab))
Y = arccos((50² +90² -55²)/(2·50·90)) = arccos(7575/9000) ≈ 32.7°
__
Y is angle A in the attached triangle solver.
Suppose a + bi and c + di are complex numbers with b not equaling 0.
(a) Calculate (a + bi) + (c + di) and (a + bi)(c + di).
(b) Show that if both the sum and product are real numbers, then either the complex numbers are real numbers or conjugates.
Answers
9514 1404 393
Answer:
(a) sum: (a+c) +(b+d)i
product: (ac -bd) +(bc +ad)i
(b) (b+d)=0 and (bc+ad)=0 ⇒ a=c, d=-b or b=d=0
Step-by-step explanation:
(a) Combining like terms the sum is ...
(a +bi) +(c +di) = (a+c) +(b+d)i . . . . sum
And the product is ...
(a+bi)(c+di) = ac +(ad+bc)i +bd·i²
Since i = √-1, i² = -1 and the product can be written as ...
(a+bi)(c+di) = (ac-bd) +(ad+bc)i . . . . product
__
(b) If both the sum and product are real numbers, then we have ...
b +d = 0
ad +bc = 0
The first equation tells us d = -b. Substituting that into the second equation, we get ...
a(-b) +b(c) = 0
b(c -a) = 0
The zero product rule tells us this will be true if and only if b = 0 or c = a.
if b = 0, then d = 0 and both numbers are real.
if c = a, then c+di = a-bi and the numbers are conjugates.
Hence, if both the sum and product are real, both are real numbers or they are conjugates.
Surface roughness of pipe. Refer to the Anti-corrosion Methods and Materials (Vol. 50, 2003) study of the sur- face roughness of coated interior pipe used in oil fields, Exercise 7.26 (p. 311). The data (in micrometers) for 20 sampled pipe sections are reproduced in the table on p. 391.
a. Give the null and alternative hypotheses for testing whether the mean surface roughness of coated interior pipe, H, differs from 2 micrometers.
b. The results of the test, part a, are shown in the MINITAB printout at the bottom of the page. Locate the test statistic and p-value on the printout.
Answers
The minitab report isn't given.
Answer:
H0 : μ = 2 um
H1 : μ ≠ 2 um
Step-by-step explanation:
The mean surface roughness of coated interior pipe is given as 2um.
This refers to the population mean, μ = 2 um
Therefore, the null hypothesis which usually aligns with the population mean value will be stated as :
H0 : μ = 2 um
The alternative hypothesis is used to test the claim that the mean surface roughness is different from 2 ; hence no direction is given, this is thus a 2 - tailed test
H1 : μ ≠ 2 um
HELP HELP HELP HELP PLEASE
Answers
Answer:
It is indeed 63
Step-by-step explanation:
The easy way to go about this is to recognize that if the triangles are similar, the ratio between the similar sides will be the same.
Notice:
4/5 = 36/45
So:
4/7 should = 36/x
If:
4/7 = 36/x
4x/7 = 36
4x = 36*7
x=36*7/4
x=63
Convert 0.181818 … to a fraction by writing the repeating decimal as an infinite geometric series. Show all of your work (please)
Answers
0.181818… = 18 (0.010101…)
… = 18 (0.01 + 0.0001 + 0.000001 + …)
… = 18 (1/100 + 1/100² + 1/100³ + …)
… = 18 (1 + 1/100 + 1/100² + 1/100³ + …) - 18
Then you have
[tex]0.181818\ldots = \displaystyle18\sum_{k=0}^\infty\frac1{100^k} - 18 = \frac{18}{1-\frac1{100}} - 18 = \boxed{\frac2{11}}[/tex]
Si una vara 2,15 mts de longitud da una sombra de 6,45 mts
Answers
Answer:
he casted 4.3. away
Step-by-step explanation:
A certain drug carn be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. The manufacturer of the drug claims that more than 94% of patients taking the drug are healed within B weeks. In clinical trials, 228 of 240 patients suffering from acid reflux disease were healed after 8 weeks. Test the manufacturer's claim at the a=0.05 level of significance. Click here to view the standard nomal distribution table (page 1). Cick here to view the standard nomal distribution table (page 2). Because rea (1-Po) =| satistied. (Pound to one decimal place as needed.) V 10, the sample size is 5% of the population size, and the sample the requirements for testing the hypothesis
Answers
According to the manufacturer's claim, we build an hypothesis test, find the test statistic and the p-value relative to this test statistic, reaching a conclusion that:
The p-value of the test is 0.2578 > 0.05, which means that there is not sufficient evidence to conclude that more than 94% of patients taking the drug are healed within B weeks.
The manufacturer of the drug claims that more than 94% of patients taking the drug are healed within 8 weeks.
At the null hypothesis, we test if the proportion is of at most 0.94, that is:
[tex]H_0: p \leq 0.94[/tex]
At the alternative hypothesis, we test if the proportion is of more than 0.94, so:
[tex]H_1: p > 0.94[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, is the value tested at the null hypothesis, is the standard deviation and n is the size of the sample.
0.94 is tested at the null hypothesis:
This means that [tex]\mu = 0.94, \sigma = \sqrt{0.94*0.06}[/tex]
In clinical trials, 228 of 240 patients suffering from acid reflux disease were healed after 8 weeks.
This means that [tex]n = 240, X = \frac{228}{240} = 0.95[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.95 - 0.94}{\frac{\sqrt{0.94*0.06}}{\sqrt{240}}}[/tex]
[tex]z = 0.65[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion above 0.95, which is 1 subtracted by the p-value of Z = 0.65.
Looking at the z-table, Z = 0.65 has a p-value of 0.7422.
1 - 0.7422 = 0.2578.
The p-value of the test is 0.2578 > 0.05, which means that there is not sufficient evidence to conclude that more than 94% of patients taking the drug are healed within B weeks.
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If POR ~ ASTU, what is the scale factor of APQR to ASTU?
A. 1/5
B. 1/4
C. 5
D. 4
Answers
Answer:
[tex]k = \frac{1}{5}[/tex]
Step-by-step explanation:
Given
The attached triangles
Required
The scale factor
From the attachment, we have:
[tex]TU = 4[/tex]
[tex]QR = 20[/tex]
So, the scale factor from PQR to STU is:
[tex]k = \frac{TU}{QR}[/tex]
[tex]k = \frac{4}{20}[/tex]
[tex]k = \frac{1}{5}[/tex]
MFP15017010 2021 Question 2 2.1 Calculate the following 2- and 3-digit numbers using strategic doubling: 34 2.1.2 340 2.13 277 214 00 (10) 2.15 500
Answers
Answer:
plz check ur school solution down.
Step-by-step explanation:
Find the area of the shaded regions.
QUICKLY PLEASE
Answers
Answer:
the answer is 270° on this
Answer:
84.78
Step-by-step explanation:
Area of a circle is pi(radius)^2
In this case it would be (pi(radius)^2)270/360 since it's 3/4 of a circle.
So we replace the values and solve:
3.14(36)(270/360)= 84.78 square centimeters.
In a sample of 56 bags of fertilizer, the average weight was found to be 17.2lb with a standard deviation of 0.7. Give a point estimate for the population standard deviation of the weight of the bags of fertilizer.
Answers
Answer:
???????????????????????
What is the length of PO
Answers
These are similar triangles, therefore their sides are proportional.
36 / 24 = PO / 36
24PO = 1296
PO = 54
Hope this helps!
Area: Change in Dimensions
A rectangle FGHJ has a width of 3 inches and a length of 7 inches.
Answers
Step-by-step explanation:
this is not complicated at all. first and second graders can do a-c (come on, you know how to calculate the area of a rectangle) and with some imagination also d and e.
this is meant for you to actually do it so that you get a feeling for these things.
I will therefore leave the pure calculation to you.
and I will give you some help for the conceptual/ theoretical part.
the area of a rectangle is, of course, length × width (or height some on the view you have on an object).
let's just call them l and w.
so the regular area is
Ar = l×w
now one dimension (or example and for the width, but it does not matter, it is the same for the length) is doubled.
it simply means the new width is twice the old width.
so the area with a double width is
A2w = l×(2×w) = 2×(l×w)
so, that means also the area is doubled compared to the regular area.
now, both dimensions are doubled.
A2w2l = (2×l)×(2×w) = 4×(l×w)
so, the area grew 4 times a large as the regular area.
what is the rule here ?
let's triple the dimensions.
A3w3l = (3×l)×(3×w) = 9×(l×w)
as you can easily see : the new area grows with the square of the scaling factor, when we change both dimensions equally.
the reason is simple - as our little equations show, we have to multiply in the scaling factor of every dimension in play.
therefore, the new area grows with the product of the scaling factors of the involved dimensions. if both scaling factors are the same, then the area grows therefore by the square of the common factor.
and this principle applies to every shape, where the area is constructed out of 2 dimensions. any other additional multiplication factors don't matter for this, because this is all one big multiplication of several factors, and if you multiply one of these factors by an additional factor, the whole result changes by that factor.
Resolve into factors. px + qx + py + qy (algebra).
Answers
Answer:
(p+q)(x+y)
HOPE IT HELPS YOU.....
Step-by-step explanation:
we want to factor the following expression
[tex] \displaystyle px + qx + py + qy[/tex]
to do so group px's and qy's
[tex] \displaystyle px + py + qx + qy[/tex]
factor out p:
[tex] \displaystyle p(x + y ) + qx + qy[/tex]
factor out "q":
[tex] \displaystyle p(x + y ) + q(x + y)[/tex]
group:
[tex]\boxed{ \displaystyle( p+ q)(x + y)}[/tex]
PLEASE HELP ME IM HAVING TROUBLE WITH IT
Answers
Answer:
True
False
Step-by-step explanation:
BC are on the same line so, the new [tex]B^{1}[/tex][tex]C^{1}[/tex] will also be on the same. Just a different line than the original. The both move the same distance when dilated.
CD and the new [tex]C^{1}[/tex][tex]D^{1}[/tex] cannot be the same length. The dilation will increase their length by 1[tex]\frac{2}{3}[/tex]
find all the missing measurement
Answers
Answer:
find all the missing measurementPlease help!
Solve for x
Answers
9514 1404 393
Answer:
x = 1
Step-by-step explanation:
The product of lengths to the two circle intercepts are the same for each secant.
7(7+9) = (8x)(8x+6x)
112 = 112x² . . . simplify
1 = x² . . . . . . divide by 112
x = 1 . . . . . . . take the square root (segment lengths are positive)
Figure out the pattern, and write the next number.
2,6,21,88
Answers
a5=445
Explanation:
a of n=(a+1)*n
a1=2
I found the pattern to add 1 to the previous number and then multiply it by its number in the sequence. Apologies for the terrible format of my recursive formula.
Proof of pattern:
(2+1)*2=6
(6+1)*3=21
(21+1)*4=88
a5=(88+1)*5=445
A 42 gallon hot water tank hose 350 pounds of water what weight of water at 53 gallon tank hold
Answers
Answer:
441.66667 pounds
Step-by-step explanation:
divide 350/42 then multiply the quotient by 53
I am need help and an explanation on how to read these graphs.
Answers
Answer:
A is the answer
Step-by-step explanation:
A
plz mark it brainlist
2 2/3 +2 2/3 + 2 2/3 +2 2/3
Answers
Answer:
10.6666666667 is your answer
just round this to the nearest tenth
9514 1404 393
Answer:
10 2/3
Step-by-step explanation:
Multiplication works nicely on problems involving repeated addition:
2 2/3 +2 2/3 + 2 2/3 +2 2/3 = 4 × (2 2/3) = 4×2 +4×2/3 = 8 +8/3
= 8 + 2 2/3 = 10 2/3
A sales firm receives an average of three calls per hour on its toll-free number. For any given hour, find the probability that it will receive at least three calls. Use the Poisson distribution.
Answers
Answer:
At most 3 calls: 64.7%
At least 3 calls: 57.7%
5 or more calls: 18.5%
Step-by-step explanation:
Which phrase best describes a theorem in an axiomatic system?
A.
the accepted meaning of a term
B.
an assumption made with little supporting evidence
C.
an accepted fact that cannot be proven
D.
a statement proven to be true using logic
E.
a list of geometric facts
Answers
The answer is to the question is D
Answer:
hope it's help you (: for your answer
Which one correct answer??
Answers
What is the question of it ?
