Answer:
B, C, and E
Step-by-step explanation:
Since x+6 has the root x=-6, we should be getting 0 after plugging it into each expression by the Remainder Theorem:
[tex]2x^3-19x^2-7x+294\\2(-6)^3-19(-6)^2-7(-6)+294\\2(-216)-19(36)+42+294\\-432-684+42+294\\-780[/tex] <-- remainder isn't 0; A is out
[tex]4x^3 + 11x^2 - 75x + 18\\4(-6)^3+11(-6)^2-75(-6)+18\\4(-216)+11(36)+450+18\\-864+396+468\\-864+864\\0[/tex]<-- remainder IS 0; B is a correct choice
[tex]3x^3 + 34x^2 + 61x - 210\\3(-6)^3+34(-6)^2+61(-6)-210\\3(-216)+34(36)-366-210\\-648+1224-366-210\\576-366-210\\210-210\\0[/tex]<-- remainder IS 0; C is a correct choice
[tex]x^3 + 6x^2 + 11x + 6\\(-6)^3+6(-6)^2+11(-6)+6\\-216+6(36)-66+6\\-216+216-60\\-60[/tex]<-- remainder isn't 0; D is out
[tex]10x^3 + 53x^2 - 41x + 6\\10(-6)^3+53(-6)^2-41(-6)+6\\10(-216)+53(36)+246+6\\-2160+1908+252\\-252+252\\0[/tex]<-- remainder IS 0; E is a correct choice
Thus, the correct choices are B, C, and E.
A cyclist travels 10 km from home to the park.
She leaves home at 12:20 and arrives at the park at 12:50.
What is her average speed in km/h?
Answer:
20 km/hr
Step-by-step explanation:
The total time she takes to travel 10 km is 30 minutes of 0.5 hours.
To calculate speed, we can divide the distance traveled by the time it takes.
[tex]s = \frac{10}{0.5} = 20[/tex] km/hr
i need help in geometry :(
9514 1404 393
Answer:
82 ft
Step-by-step explanation:
We can find the value of x by making use of the fact that corresponding angles have equal measures.
∠K = ∠N
20x -10 = 15x +15
5x = 25 . . . . . . . . . . add 10-15x
x = 5 . . . . . . . . . . . . divide by 5
Then the side lengths are ...
JK = (4x -4) ft = (4·5 -4) ft = 16 ft
KL = (5x +1) ft = (5·5 +1) ft = 26 ft
And the perimeter is the sum of side lengths:
16 ft + 26 ft + 40 ft = 82 ft
The perimeter of each pool is 82 feet.
In an auditorium, the front 39 rows with 53 seats in each row are for kids while all 53 seats in each of the remaining 61 rows are for adults. How many seats are there in the auditorium?
Answer:
The auditorium has a total of 5,300 seats
Step-by-step explanation:
The seats for kids can be calculated by multiplying the number of rows by the number of seats per row:
Seats for kids=39*53 =2,067 seats
The seats for adults are calculated in a similar way:
Seats for adults = 61*53= 3,233 seats
Total seats: 2,067+3,233 = 5,300
The auditorium has a total of 5,300 seats
i’ve been on this question for 22 minutes please help me
Answer:
F
Step-by-step explanation:
P= 2/ + 2w Find The Width
9514 1404 393
Answer:
W = P/2 -L
Step-by-step explanation:
Divide by 2 and subtract L.
P = 2L +2W
P/2 = L +W
P/2 -L = W
The width is ...
W = P/2 -L
What is the least common multiple of 9, 17, and 51? A. 51 B. 102 C. 153 D. 867
Answer:
C. 153Hope this helps
shshsgshsh
Answer:
C. 153
Step-by-step explanation:
I just did this quiz and got it right!! Hope this helps! :D
(1-cos^2 60°)+(1-sin^2 60°)=tan^2 60°
If a dose of 100mg is contained in 4cc, how many cubic centimeter are in 40mg?
Andre paid $13 for 3 books. Diego bought 12 books priced at the same rate.
How much did Diego pay for the 12 books?
PLEASE INCLUDE AN EXPLANATION
Answer:
$36
Step-by-step explanation:
i dont know how to explain it but heres the number answer
Answer:
well 3÷13= 4.33 and 4.33×12=52
How do I find x in this equation?
Answer:
Exact Form:
x
=29/20
Decimal Form:
x=1.45
Mixed Number Form:
x=1 9/20
Step-by-step explanation:
I did that before trust me I know
Patty walked 2/5 of a mile in 5 1/2 minutes. At this rate, how long will it take Patty to walk 3 miles?
Answer:
41.25 minutes i think sorry if its wrong
If a polynomial function f(x) has roots 0, 4, and 3+ V11, what must also be a root of f(x)
Answer:
3-√11 must also be a root of f(x)
Step-by-step explanation:
help. will give brainly to correct answer. please.
Answer:
Last option; 5/2+ i5/2
(9x-2y)/xy when x-4 and y=-2
Answer:
-5
Step-by-step explanation:
Answer:
GIVEN x=4 and y=-2
So, in (9x-2y)/xy when we apply x=4 and y=-2
{9(4)-2(-2)}/(4)(-2)
36+4/-8
40/-8
-5/1
=-5
There is The Question and answers
Answer: -1/8
Step-by-step explanation:
Which statement is true?
Answer:
your right
Step-by-step explanation:
A coral reef grows 0.12 minutes every week. How much does it grow in 8 weeks?
Answer:
0.96
Step-by-step explanation:
0.12 x 8 = 0.96
4 pound tomato cost 14 dollar how much does 1 pound cost
Answer:$3.50
Step-by-step explanation:
14/4 =3.5. To check answer multiply 3.5 by 4. You get 14
Can someone help me plz
Answer:
Answer 3
Step-by-step explanation:
Answer:
A. 27
Step-by-step explanation:
trust me
Rephrase: what is 35% of $120?
What are the reasons you would "flip" or reverse the inequality symbol in your answer?
When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side! This is why you must flip the sign whenever you multiply by a negative number.
50 PONTIS Score for Question 3: ___ of 5 points) 3. Solve the given inequality and graph the solution on a number line. Show your work! -2x + 3 < 5
Answer:
If x equals -1 or anything less than -1, then the inequality statement is false
Step-by-step explanation:
So to find the number x has to be for the statement to be false, we have to find what number x would be to make it so both sides equal the same thing. So in this case, it would be -1 because 5-3 equals 2 and -2x=2 only if x=-1. So anything greater than -1 would make the statement true.
I hope this helped.
Answer:
x > - 1 or x = (-1, + oo)Step-by-step explanation:
GivenInequality
-2x + 3 < 5To findSolve and graphSolution-2x + 3 < 5-2x < 5 - 3-2x < 2x > - 1x = (-1, + oo)As per above, the graph covers all numbers to the right from the point -1
The graph is attached
what is l4x-4l+10=3x
Answer:
x=−6
Step-by-step explanation:
4x−4+10=3x
Step 1: Simplify both sides of the equation.
4x−4+10=3x
4x+−4+10=3x
(4x)+(−4+10)=3x(Combine Like Terms)
4x+6=3x
4x+6=3x
Step 2: Subtract 3x from both sides.
4x+6−3x=3x−3x
x+6=0
Step 3: Subtract 6 from both sides.
x+6−6=0−6
Answer:
l4x-
Step-by-step explanation:
Sorry I hope this is it I hoped it help sorry.
please leave a thanks.
I need help please! 7:44 est need rn
Answer:
B. [tex]3^{6}[/tex]
Step-by-step explanation:
[tex]3^{8} = 6561[/tex] [tex]3^{2} = 9[/tex] 6561 ÷ 9 = 729Option B, [tex]3^{6}[/tex], is equal to 729, so that is the right answer.I hope this helps!
A restaurant is making hamburgers. The cooks use 2/3 pounds of beef for each hamburger. If the cooks have 46 and 2/3 pounds of beef, how many hamburgers can they make?
Answer:
They can make 49 hamburgers
Step-by-step explanation:
Answer:
They can make 49 hamburgers
Step-by-step explanation:
According to the Vivino website, the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is $32.48. A New Englandâbased lifestyle magazine wants to determine if red wines of the same quality are less expensive in Providence, and it has collected prices for 56 randomly selected red wines of similar quality from wine stores throughout Providence. The mean and standard deviation for this sample are $30.15 and $12, respectively.
Required:
a. Develop appropriate hypotheses for a test to determine whether the sample data support the conclusion that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.
b. Using the sample from the 60 bottles, what is the test statistic?
c. At α = 0.05, what is your conclusion?
Answer:
a
The null hypothesis is [tex]H_o : \mu = 32.48[/tex]
The alternative hypothesis is [tex]H_a : \mu < 32.48[/tex]
b
[tex]t = -1.504[/tex]
c
There is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48
Step-by-step explanation:
From the question we are told that
The mean price of is [tex]\mu = \$ 32.48[/tex]
The sample size is n = 56
The sample mean is [tex]\= x = \$30.15[/tex]
The standard deviation is [tex]\sigma = \$12[/tex]
The null hypothesis is [tex]H_o : \mu = 32.48[/tex]
The alternative hypothesis is [tex]H_a : \mu < 32.48[/tex]
Generally the test statistic is mathematically represented as
[tex]t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]t = \frac{30.15 - 32.48 }{\frac{12 }{\sqrt{60} } }[/tex]
=> [tex]t = -1.504[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P (t < -1.504 )[/tex]
From the z-table
[tex]P(t < -1.504) = 0.066291[/tex]
So
[tex]p-value = 0.066291 [/tex]
From the value we obtain we see that
[tex]p -value > \alpha[/tex]
Then we fail to reject the null hypothesis
Hence there is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48
What is the rate of change of the function?
O -3. O -1/3. O 1/3. O 3
Answer:
I think it's 1/3
Step-by-step explanation:
because yo can see that in y-1, x=1 then in y0, x=1.3 and it keep going
i’ll mark brainlest to whoever answers this question first! :)
Answer:
me
Step-by-step explanation:
Two sides of a triangle have lengths 5 and 4. Which of the following can NOT be the length
of the third side?
A.1
B.4
C.2
D.3
Answer:
im guessing b.4
Step-by-step explanation:
It is not possible to have a) 1 as one f the third side of the triangle
What is triangle inequality theorem ?
It defines the relationship between the sides `of a triangle .
The triangle inequality theorem states that sum of length of two sides of a triangle is greater than the length of the third side .
a + b > c
correct answer option a) 1
it is not possible to make a triangle if one side is 1 because triangle inequality theorem will be violated
1 + 4 = 5 and not greater than 5
hence , not possible
learn more about triangle inequality theorem
https://brainly.com/question/1163433?referrer=searchResults
#SPJ2
5 2/3 multiplied by 4 1/2
Answer:
[tex] 25\frac{1}{2} [/tex]
Step-by-step explanation:
[tex]5 \frac{2}{3} \times 4 \frac{1}{2} \\ \\ = \frac{5 \times 3 + 2}{3} \times \frac{4 \times 2 + 1}{2} \\ \\ = \frac{15 + 2}{3} \times \frac{8 + 1}{2} \\ \\ = \frac{17}{3} \times \frac{9}{2} \\ \\ = \frac{17}{1} \times \frac{3}{2} \\ \\ = \frac{51}{2} \\ \\ = 25 \frac{1}{2} [/tex]