Answer:
Yuri is not correct.
Step-by-step explanation:
Given expression is q(x) = 6x³ + 19x² - 15x - 28
If 'a' is a root of the given function, then by substituting x = a in the expression, q(a) = 0
Similarly, for x = [tex]\frac{3}{4}[/tex],
[tex]q(\frac{3}{4})=6(\frac{3}{4})^3+19(\frac{3}{4})^2-15(\frac{3}{4})-28[/tex]
= [tex]6(\frac{27}{64})+19(\frac{9}{16})-15(\frac{3}{4})-28[/tex]
= [tex](\frac{162}{64})+(\frac{171}{16})-(\frac{45}{4})-28[/tex]
= [tex](\frac{162}{64})+(\frac{684}{64})-(\frac{720}{64})-\frac{1792}{64}[/tex]
= [tex]-\frac{1666}{64}[/tex]
= [tex]-\frac{833}{32}[/tex] ≠ 0
Therefore, Yuri is not correct. x = [tex]\frac{3}{4}[/tex] can not be a root of the given expression.
Answer:
Did you include the following in your response?
According to the rational root theorem, potential rational roots must be in theform p/q where p is a factor of the constant term and q is a factor of the leading coefficient.
3 is not a factor of 28, and 4 is not a factor of 6. So, 3/4 does not satisfy the rational root theorem.
Substituting 3/4 in for x does not result in 0. The remainder is not 0 when dividing by
x – 3/4
Step-by-step explanation:
sample response edgen 2020
How do you do this? Please help!
Answer: 7/36
Step-by-step explanation:
As you can see, 7 of the 36 squares are multiples of 5. Also, pls brainliest, this took forever.
A train travels 600 km in one hour .what is the trains Velocity in meters /seconds?
Answer:
166.6666 metres/second
Step-by-step explanation:
1 km/hr = 5m/18s
600*5/18
Kini earns 9 dollars an hour at her job and her allowance is 8 dollars per week. Duke earns 7.50 dollars an hour and his allowance is 16 dollars per week. How many hours do kini and duke need to work in order to save the same amount of money in one week.
Answer:
Step-by-step explanation:
y = 9x + 8
y = 7.5x + 16
1.5x = 8
x = 5.3 hours
Answer:
5.3hrs or 5hrs 18mins
Step-by-step explanation:
First, we have to put the information given to us about the money they earn into an expression
Let x represent the number of hours Kini and Duke work and y represent the total amount of money they earn in a week.
y(kini) = 9x + 8
y(duke) = 7.5x + 16
Now we subtract the x values and the constant values
9x - 7.5x = 1.5x
16 - 8 = 8
Make these into an equation
1.5x = 8
Divide both sides by 1.5 so x(the number of hours the both work) can stand alone.
[tex]\frac{1.5x}{1.5} =\frac{8}{1.5}[/tex]
x = 5.3hrs or 5hrs and 18 mins
help with this question please
Answer:
Emily had $24 to begin with.
Fred had $21 to begin with.
Step-by-step explanation:
We know that both Emily and Fred gave Gary, who had no money, a total of $15. We also know that now they have the same amount of money (they all have $15). We simply have to add the values each person gave to Gary:
Emily: 15 + 9 = 24
Fred: 15 + 6 = 21
Two teaching methods, A and B, are implemented for learning Spanish. There is a 70% chance of successfully learning Spanish if method A is used, and a 85% chance of success if methodB is used. However, method B is substantially more 3. time consuming and is therefore used only 20% of the time (method A is used the other 80% of the time). The following notations are suggested:
A-Method A is used.
B-Method B is used.
L-Spanish was learned successfully Interpret each of the probabilities given in the original problem in probability
a) notation with their respective values (four of these).
b) Draw a Probability Tree representing each of the probabilities mentioned above.
c) What is the likelihood a person does not learn Spanish?
d) A student learned the spanish successfully. What is the probability that they were taught by method B?
Answer:
(a) Shown below.
(b) Shown below.
(c) The probability that a person does not learn Spanish is 0.18.
(d) The probability that method B was used given that a student learned the Spanish successfully is 0.83.
Step-by-step explanation:
(a)
Consider the provided data.
[tex]P(A)=0.20\\P(B)=0.80\\P(L|A)=0.70\\P(L|B)=0.85[/tex]
Then the probability of not learning Spanish using the respective methods are:
[tex]P(L'|A)=1-P(L|A)=1-0.70=0.30\\\\P(L'|B)=1-P(L|B)=1-0.70=0.15[/tex]
(b)
The Probability Tree representing each of the probabilities mentioned above is attached below.
(c)
Compute the probability that a person does not learn Spanish as follows:
[tex]P(L')=P(L'|A)P(A)+P(L'|B)P(B)[/tex]
[tex]=(0.30\times 0.20)+(0.15\times 0.80)\\\\=0.06+0.12\\\\=0.18[/tex]
Thus, the probability that a person does not learn Spanish is 0.18.
(d)
Compute the probability that method B was used given that a student learned the Spanish successfully as follows:
[tex]P(B|L)=\frac{P(L|B)P(B)}{P(L|A)P(A)+P(L|B)P(B)}[/tex]
[tex]=\frac{(0.85\times 0.80)}{(0.70\times 0.20)+(0.85\times 0.80)}\\\\=\frac{0.68}{0.14+0.68}\\\\=0.82927\\\\\approx 0.83[/tex]
Thus, the probability that method B was used given that a student learned the Spanish successfully is 0.83.
What is the prime factorization of 50?
2x25
2x5
2x5²
Answer:
2x5²
Step-by-step explanation:
[tex]25 = 2 \times 5 \times 5 = 2 \times {5}^{2} \\ [/tex]
Answer:
2x5²
Step-by-step explanation:
The Venn diagram below shows the numbers of students in a class who had curry (C) and salad (S) at lunch. A student is chosen at random. Find P(C U S)
Answer:
Step-by-step explanation:
hello,
how many students ? 14 + 2 + 5 +3 = 24
how many students who had C and S ? 14 + 2 + 5 = 21
so P(C∪S)=21/24=(7*3)/(8*3)=7/8
hope this helps
A town's population is currently 5,000. If the population doubles every 95 years, what will the
population be 380 years from now?
please help !! what’s the answer? i don’t understand !!
Answer:
992
Step-by-step explanation:
You must convert the meter the kilometer by miltiplying by 1000
and when you do it you must multiply 0.992 by 1000 since it is a fraction .
or you can work it this way :
0.992⇒1m x(the new rate) ⇒1000m x= 0.992*1000= 992two factors of -48 have a difference of 19. the factor with a greater absolute value is positive. what is the sum of the factors? -19, -13 13 or 16
Answer:
-19
Step-by-step explanation:
-19 is the absolute value of 19
hope this helps
Answer:
sum = +13
Step-by-step explanation:
The possible factors of 48 are
{1,2,3,4,6,8,12,16,24,48}
Of these, the pair 3,16 gives a sum of 19 and a product of 48.
We are given that 16 (greater absolute value) is positive, so 3 is negative.
The sum of the two is therefore 16-3 = 13
Consider the following quadratic equation. -4x^2+bx-11=0 Determine a possible value of b so that the quadratic has two complex solutions.
Answer:
Step-by-step explanation:
hello,
for [tex]ax^2+bx+c=0[/tex]
[tex]\Delta = b^2-4ac[/tex]
so here
[tex]\Delta = b^2-4*(-4)*(-11)=b^2-176[/tex]
to have two complex solutions we need [tex]\Delta < 0\\[/tex]
so [tex]b^2<176[/tex]
[tex]<=> b < \sqrt{176}=13.266...[/tex]
for instance we can take b = 0
hope this helps
Answer:
The correct answer is 12.
Step-by-step explanation:
i got it correct on my test, thanks to comment on the question above.
find the zero of the following function: f(×)=(×-1)/(×-3)
Answer:
[tex]\boxed{\sf \ \ x = 1 \ \ }[/tex]
Step-by-step explanation:
Hello,
First of all we need to take x different from 3 as dividing by 0 is not allowed
then for x real different from 3
[tex]f(x)=0\\\\<=> \dfrac{x-1}{x-3}=0\\\\<=> x-1 = 0\\\\<=> x = 1[/tex]
hope this helps
What is the slope of the line that contains the points (-1, 2) and (3, 3)?
O A. 4
O B. 4
ОС.
4
OD.
4
Answer:
the answer shoudl be OB 4
Which of the following is an equivalent form of the
compound inequality -22 > -5x - 72 -3? (1 point)
Select one:
O a. -5x - 75 -22 and -5x - 72-3
O b. -5x - 7> -22 and -5x - 72-3
O c. -5x > -22 and -7 -3
O d. -5x - 7 < -22 and -5x - 75 -3
Step-by-step explanation:
_22greater than minus 2 x minus minus 72 minus 3
72 minus 22 minus 3greathan than 2x
49greatern than 2 x
Given: Line A B intersects Line D E at point C. Prove: AngleDCB Is-congruent-toAngleECA Line D E intersects line B A at point C. A 2-column table with 6 rows. Column 1 is labeled statements with the entries line A B intersects line D E at point C, angle D C B and angle B C E are a linear pair, angle D C B is supplementary to angle B C E, angle B C E and angle E C A are a linear pair, angle B C E is supplementary to angle E C A, angle D C B is-congruent-to angle E C A. Column 2 is labeled reasons with the entries given, definition of linear pair, linear pair post, definition of linear pair, question mark, congruent to supplementary theorem. What is the missing reason in step 5? linear pair postulate given definition of complementary angles congruent complements theorem
Answer:
The missing reason in step 5 is;
The linear pair postulate
Step-by-step explanation:
The information given are;
Column 1, Column 2
Statements, Reasons
Line AB intersect DE at C, Given
∠DCB and ∠BCE are linear pair, Definition of linear pair
∠DCB is supplementary to ∠BCE, Linear pair postulate
∠BCE and ∠ECA are linear pair, Definition of linear pair
∠BCE is supplementary to ∠ECA, Linear pair postulate
∠DCB ≅ ∠ECA, Congruent to supplementary theorem
Therefore, the missing reason in step 5 is the linear pair postulate.
Answer:
itS A
Step-by-step explanation:
Based on a recent poll, there is a 50-50 chance that randomly selected adut has pierced ears, Express the indicated degree of likelihood as a proabability value between 0 and 1.
Answer:
1/2 or 0.5
Step-by-step explanation:
Saying that there is a 50-50 chance of an event happening is equivalent to saying there is a 1 in 2 chance. Therefore, expressing that degree of likelihood as a value between 0 and 1:
[tex]\frac{1}{2}=0.50[/tex]
There is a 1/2 or 0.5 chance that a randomly selected adult has pierced ears.
Answer:
1/2 or 0.5
Step-by-step explanation:
50-50 chance between 0-1 means half of 0-1 which is 1/2 or 0.5
1/2 or 0.5!
A producer has fixed expenses of $980 to put on a 3-day production of a play. Each ticket to the play will be sold for $5.00. The line shows the net profit or loss of the producer based on selling x tickets. What is the minimum number of tickets the producer must sell over the 3-day period in order to earn a profit?
Answer:
196 tickets
Step-by-step explanation:
The total expenses to put on a 3-day production of a play is $980. Each ticket to go and watch the play is going to be sold for $5. The producer sells x number of tickets, x number of tickets would cost 5x. Therefore to find the number of tickets the producer must sell so as to make a profit the money generated from selling the tickets must be more than the cost of production. Therefore we use the formula:
5x ≥ 980
Dividing through by 5:
x ≥ 980
x ≥ 980/5
x ≥ 196
Therefore the producer must sell at least 196 tickets so as to make a profit
‼️10 points‼️
1. Match the graph with its equation.
A. y=-3
B. x=-3
C. x=3
D. y=3
Answer:
y=-3
Step-by-step explanation:
This is a horizontal line
Horizontal lines are of the form
y=
The y value is -3
y=-3
━━━━━━━☆☆━━━━━━━
▹ Answer
A. y = -3
▹ Step-by-Step Explanation
Y is represented by a horizontal line and it passes through the point -3 therefore, the answer is y = -3.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
What is the following product? (3 startroot 16x^7 endroot) (3 startroot 12x^9 endroot)
Answer:
72x^8
Step-by-step explanation:
Product of ;
3 √(16x^7) * 3 √(12x^9)
Let’s factor out all perfect squares in the roots
3 √(16 * x^4 * x^3) * 3 √(4 * 3 * x^8 * x)
Taking out the perfect squares, we have;
3 * 4 * x^2 * √(x^3) * 3 * 2 * √3 * x^4 * √(x)
72 * x^(2 + 4) * √(x^3 * x)
72 * x^6 * √(x^4)
72 * x^6 * x^2
72 * x^8
Help!!!!! please!!!!!
Hey there! :)
Answer:
B. The volume of Cylinder B is larger.
Step-by-step explanation:
Find the volumes of each cylinder using the formula V = πr²h:
Cylinder A:
V = π3² · 5
V = 9π · 5
V = 45π units³
Cylinder B:
V = π5²· 3
V = 25π · 3
V = 75π units³
75π u³ > 45π u³, so the volume of Cylinder B is larger.
Describe how the graph of the parent function
y=
is transformed when graphing y = 8x - 3
The graph is translated 3 units
Answer:
Down
Stretched by a factor of 2
Step-by-step explanation:
The transformed function is translated to the right along the x-axis and stretched by a scale factor of 2.
What is transformation?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
Given is a function, y = [tex]\sqrt[3]{x}[/tex] being transformed into y = [tex]\sqrt[3]{8x} -3[/tex]
We see, that, in the function, 3 is being subtracted from x, we mean the translation is right along the x-axis
And, ∛x is converted into 2∛x, that shows a stretched in the graph,
Hence, The transformed function is translated to the right along the x-axis and stretched by a scale factor of 2.
For more references on transformation, click;
https://brainly.com/question/11709244
#SPJ2
Is triangleLMN cong triangleOQP? If so, name the postulate that applies.
Answer:
A. The triangles are congruent by SAS.
Step-by-step explanation:
Two sides of one triangle are congruent to two sides of the other triangle. The included angles of the two triangles are congruent.
The triangles are congruent by SAS.
Factor completely x3 + 6x2 + 8x + 48. A (x − 6)(x2 − 8) B (x − 6)(x2 + 8) C (x + 6)(x2 − 8) D (x + 6)(x2 + 8)
Answer:
(x+6)(x^2+8)
D
Step-by-step explanation:
x^3 + 6x^2 + 8x + 48=
x2(x+6)+8(x+6)= take x+6 common factor
(x+6)(x^2+8)
PLEASE HELP ME!!! ASAP!!!
Answer:
a, Side DE and side AB have to be equal to keep the order of AAS.
b, AC and DF have to be equal for the same reason.
Consider triangle QRS. The legs each have a length of 10 units. Triangle Q R S is shown. Angle Q S R is 90 degrees. The length of Q X is 10 and the length of S R is 10. What is the length of the hypotenuse of the triangle?
Answer:
10 square root 2
Step-by-step explanation:
Answer: D). 10 StartRoot 2 EndRoot units
Step-by-step explanation:
A history instructor has given the same pretest and the same final examination each semester. He is interested in determining if there is a relationship between the scores of the two tests. He computes the linear correlation coefficient and notes that it is 1.15. What does this correlation coefficient value tell the instructor?
Answer:
The history instructor has made a computational error.
Step-by-step explanation:
We have that the data represents the linear correlation coefficient and notes it is 1.15
The linear correlation coefficient value which is 1.15 does tell the instructor that the history instructor has made a computational error due to the linear correlation coefficient value falls in the range -1 to +1.
Therefore, the history instructor has made a computational error.
Find the midpoint of the line segment with end coordinates of: ( − 1 , − 6 ) and ( 4 , 5 ) Give coordinates as decimals where appropriate.
Answer:
(1.5 , -0.5)
Step-by-step explanation:
formula:
x_midpoint=(x1+x2)/2
y_midpoint=(y1+y2)/2
y coordinate: (-1 +4)/2
x coordinate: (-6+5)/2
given the polynomial function below find F(2)
F(x) = 5x^3 -2x^2 + 3
Answer:
35
Step-by-step explanation:
f(x)=5x^3-2x^2+3
f(2)=5x2^3-2x2^2+3
=5x8-2x4+3
=40-8+3
=40-5
=35
Answer:
35
Step-by-step explanation:
F(x) = 5x^3 -2x^2 + 3
Let x=2
F(2) = 5(2)^3 -2(2)^2 + 3
= 5*8 -2(4) +3
= 40 -8+3
= 32+3
= 35
What's the solution set of –5 < 2x – 1 < 3?
–2 < x < 2
Infinitely many solutions
–3 < x < –2
No solution
Answer:
The answer is - 2 < x < 2
Step-by-step explanation:
–5 < 2x – 1 < 3
Add 1 to both sides to eliminate - 1
That's
- 5 + 1 < 2x - 1 + 1 < 3+ 1
- 4 < 2x < 4
Divide both sides by 2
That's
- 4/2 < 2x/2 < 4/2
The final answer is
- 2 < x < 2Hope this helps you
Where do the graphs go ?
Answer:
1 goes into not pro
2 goes to not pro
3 goes into pro
and 4 goes into not pro
Step-by-step explanation:
proportional is a straight line
non proportional is not a line