Answer:
Step-by-step explanation:
We can find out by using synthetic division and the fact that x - 9 Might be a 0. If x = 9 is a 0 of that polynomial, then we will get no remainder when we divide the polynomial by 9:
9 | 1 -5 7
____________
First thing to do is bring down the 1 and multiply it by the 9 and put that product up under the -5:
9 | 1 -5 7
______9____
1
Now add down the column to get:
9 | 1 -5 7
_____9____
1 4
Now multiply 4 by 9 and put that product up under the 7:
9 | 1 -5 7
______9__36
1 4
Now add to see what the remainder is:
9 | 1 -5 7
_______9_36
1 4 R43
we have a remainder of 43. Since it is not a 0, then the polynomial is not evenly divisible by x - 9.
So the answer is No.
What's the chance of NOT rolling a seven using a pair of dice.
Answer:
5/6
Step-by-step explanation:
total possible = 36
Favorable = 6
1 6
6 1
2 4
4 2
3 4
4 3
Part/whole
6/36
= 1/6
NOT = 5/6
Which of these triangles appears not to be congruent to any others shown
here? Check all that apply.
A
B
C
D
E
F A. Triangle A
B. Triangle B
C. Triangle C
D. Triangle D
E Triangle E
F. Triangle F
Answer:
Options (B) and (D)
Step-by-step explanation:
If two triangles have the same size and shape they are said to be congruent triangles.
Triangles given in the attachment,
Triangles A and E appear to be congruent.
And triangles C and F appear to be congruent.
[Since corresponding sides of these triangles don't appear to be the same in measure]
Remaining triangles B and D do not appear to be congruent.
Therefore, Options (B) and (D) will be the answer.
-3x + 12x how do I simplify that?
-3x+12x
Divide it all by three
-x+4x
Answer:
The answer is 9x
Step-by-step explanation:
-3x + 12x
12x - 3x = 9x
Please help! Correct answer only!
Belle got a summer job at a movie theater cleaning the aisles after each film. This Sunday, 9 movies are scheduled to show, 7 of which feature an alien as the one main protagonist.
If Belle is randomly assigned to clean up after 6 movies, what is the probability that all of them feature an alien as the one main protagonist?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0833
Step-by-step explanation:
Consider steps below;
[tex]Total Possible Outcomes - 9C6,\\\\9! / 6! ( 9 - 6 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 / ( 1 * 2 * 3 * 4 * 5 * 6)( 1 * 2 * 3 ),\\\\362,880 / 720 * 6 = Combinations - 84,\\\\[/tex]
[tex]Number Of Outcomes - 7C6,\\\\7! / 6! ( 7 - 6 )!,\\1 * 2 * 3 * 4 * 5 * 6 *7/ ( 1 * 2 * 3 * 4 * 5 * 6 ) ( 1 ),\\\\Outcomes - 7[/tex]
[tex]Conclusion ; Solution - 7 / 84 = ( About ) 0.0833\\Hope That Helps![/tex]
Solution; Probability ≈ 0.0833
Which of the following is a correct representation of the polynomial F(x)=x^4-5x^2+4 as a product of linear factors
Answer:
C
Step-by-step explanation:
how to find the correct one?
just see on the x² constant number. it's -5 so
from ABCD the only option give -5 is C
A. (-2)(-2) + (-1)(-1) = 5
B. (-2)(-2) + (1)(1) = 5
C. (2)(-2) + (-1)(1) = -5
D. (-2)(2) + (-1)(-1) = -3
How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? How can sums and differences of cubes be identified for factoring?
Answer: I answered most of your question below
Step-by-step explanation:
Well in basic high school math, you prolly will never HAVE to factor square binomials. It becomes more of an issue when you take the limit, and there is a zero in the denominator and blah blah.
But to answer your question. You can pretty much factor any trinomial with the basic rule. Sometimes youll have to complete the square because the trinomial wont be factorable until then. The main use of factoring trinomials tho is to find the value of x. Most trinomials usually equal 0 when youre in high school math. So you factor and make both equations equal 0. Another case where you might need to factor is when you are dividing a trinomial by a binomial. You can factor the numerator and denominator and potentially cross out two terms that divide to equal 1. Overall, its really helpful.
I never really felt the need to actually factor square binomials. Its the thing like a^2 - b^2 = (a + b)(a - b), right? Its basically the same thing with what i said about the dividing stuff. One of those terms might be the exact same as one of the terms from the factored trinomial. Then you can cross out two entire terms
A trinomial is an expression that has three terms.
Square trinomial
A square trinomial is simply a perfect square trinomial, and it is represented as:
[tex]\mathbf{a^2 + 2ab + b^2 = (a + b)^2}[/tex]
Difference of square binomials
This is easily identified because, the terms of the square binomials are perfect squares.
The difference of square binomials is represented as:
[tex]\mathbf{a^2 - b^2 = (a + b)(a - b)}[/tex]
Sums and difference of cubes
When cubes are added or subtracted, they can be expressed using the following
[tex]\mathbf{a^3 + b^3 = (a + b)(a^2 - ab + b^2)}[/tex] --- sum of cubes
[tex]\mathbf{a^3 - b^3 = (a - b)(a^2 + ab + b^2)}[/tex] --- difference of cubes
Read more about binomial and trinomial at:
https://brainly.com/question/12289266
25 Uma conta de gás, no valor de R$ 48,00, com
vencimento para 13 de abril, trazia a seguinte
informação: "Se a conta for paga após o venci-
mento, incidirão sobre o seu valor multa de 2%
e juros de 0,033% ao dia, que serão incluídos na
conta futura".
Qual será o acréscimo a ser pago sobre o valor da
próxima conta por um consumidor que quitou o
débito em 17 de abril? E se ele tivesse atrasado
o dobro do número de dias para
Answer:
R$49.02
R$49.09
Step-by-step explanation:
Por não pagar a conta em dia, o valor de 2% de juros foi adicionado, o novo valor base passa a ser:
[tex]V = 1.02*48\\V=R\$48.96[/tex]
O valor a ser pago n dias após o dia 13 de abril é dado por:
[tex]P=48.96*(1+\frac{0.033}{100} )^n[/tex]
No dia 17 de abril, n =4 e o valor a ser pago é:
[tex]P=48.96*(1+\frac{0.033}{100} )^4\\P=R\$49.02[/tex]
Caso n =8, o valor a ser pago seria:
[tex]P=48.96*(1+\frac{0.033}{100} )^8\\P=R\$49.09[/tex]
Simplify
8c^3d^2
4cd^2
Answer:
[tex]2c^{2}[/tex]
Step-by-step explanation:
[tex]\frac{8c^33d^2}{4cd^2}[/tex]
[tex]\frac{2c^2d^0}{1}[/tex]
Answer:
[tex]2 {c}^{2} [/tex]
Step-by-step explanation:
[tex] \frac{8 {c}^{3} {d}^{2} }{4 {c}^{1} {d}^{2} } \\ = 2 {c}^{3 - 1} {d}^{2 - 2} \\ = 2 {c}^{2} {d}^{0} [/tex]
we know that,
[tex] {d}^{0} = 1[/tex]
so,
[tex] = 2 {c}^{2} {d}^{0} \\ = 2 \times {c}^{2} \times 1 \\ = 2 {c}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Complete the following: 2197 is the CUBE root of ______
Find the
a
circle
circumference of
whose
area is 616 cm
Answer: 88 cm
Step-by-step explanation:
The area of a circle is A=πr². Since we know the area, we can use find the radius, and use the radius to find the circumference,
616=πr²
196=r²
r=14
Now that we have the radius, we can use it to find the circumference. The formula for circumference is C=2πr.
C=2π(14)
C=28π
C=88 cm
Answer: 87.96 cm
Step-by-step explanation:
Radius = √a/π
=√616 / π = 14 cm
Circumference = 2πr
= 2 x π x 14
= 87.96 cm
4x+2y=10 5x+3y=12 solve the simultaneous question
Answer:
x = 3
y = -1
Step-by-step explanation:
→You can use the elimination method. To do this you must have either the x or y-values have the same value, but opposite signs. For this, we can choose y:
4x + 2y = 10
5x + 3y = 12
→Multiply (4x + 2y = 10) by -3, and (5x + 3y = 12) by 2:
-12x - 6y = -30
10x + 6y = 24
____________
-2x = -6
→Divide both sides by -2:
x = 3
→Plug in 3 for x into an equation:
4x + 2y = 10
4(3) + 2y = 10
12 + 2y = 10
2y = -2
y = -1
A trail mix contains peanuts raisins and m&ms in the mix the amount of peanuts is three times the amount of m&ms;and the amount of raisins is two times the amount of m&ms.let m represent the amount of m&ms.write and simplify an expression for the total number of pieces of food in the trail mix
Answer:
6m
Step-by-step explanation:
m =number of M&M's
3m=number of peanuts
2m=number of raisins
m+3m+2m=total number of pieces of food=6m
What is the slope of the line in the graph?
Answer:
-3/2
Step-by-step explanation:
Take any two points on the line and calculate the slope using the formula
(y2-y1) / (x2-x1) and you should get your slope.
Please help. How can this set be expressed using inequalities?
Answer:
Its the first one
Step-by-step explanation:
10 and x is Greater than -2
What is the equation for the graph shown?
Answer:
y = -2x + 6Step-by-step explanation:
The graph is a line Then it has an equation of the form : y = my + p
where m is the slope and p is the y-intercept.
the line crosses the y-axis at the point (0,6) then
p = 6
the line is going down then
m is negative
the only provided equation that verify: m < 0 and p = 6 is y = -2x + 6
Answer:
y = -2x + 6
Step-by-step explanation:
If mr. burts spent $3.87 on grapes from kroger and bought 3.05 pound,How much was each pound? A)1.25 B)$2.80 C)$ PLZ HURRY
Answer:
A) $1.25
Step-by-step explanation:
If you divide the 3.87 by 3.05 you will approximately get 1.25
Toilet rolls come in packs of 4 and 9
The 4 pack is priced at £2.04
The 9 pack is priced at £4.68
By calculating the price per toilet roll, determine which pack is better value . Show your working
Answer:
4 pack priced at £2.04 is better value deal.
Step-by-step explanation:
The 4 pack is priced at £2.04
cost of one pack will be equal total price divided by no. of roll in one pack
cost of one pack will be £2.04 /4 = £0.51
The 9 pack is priced at £4.68
cost of one pack will be £4.68 /9 = £0.52
As price per toilet roll for 4 pack is £0.51 which is less than
price per toilet roll for 9 pack which is £0.52
4 pack priced at £2.04 is better value deal.
Answer:
4 pack priced at £2.04 is better value deal.
Step-by-step explanation:
Direct Variation: If y = 9, when x = -3, find x when y = -27. a.9 b.27 c.-27 d,-9
Answer:
a. 9
Step-by-step explanation:
[tex]k = \frac{9}{-3} = -3\\y = -3x\\-27 = -3x\\\frac{-27}{-3} = \frac{-3x}{-3} \\9 = x[/tex]
Answer:
a. 9
Step-by-step explanation:
because the orginal number was 9 and the newer one is -27 we can determine that y was multiplied by -3 so you would apply the same rule to -3 or x and you would get a product of 9 because two negatives equals a postive
Which number is irrational?
-4
2/9
8.26
11
Answer:
C. Square Root of 11
Edg 2020
Answer:
C
Step-by-step explanation:
edge 2020
Which multiplication expression could the area model represent
A: 1.5x4.7
B: 1.5x47
C: 15x0.47
D: 15x4.7
Answer:
1.5 * 4.7
Step-by-step explanation:
The top adds to 4+.7 = 4.7
The side adds to 1+.5 = 1.5
When they multiply it is
1.5 * 4.7
find the volume with the explanation if possible <3
Answer: 905 cu. in.
Step-by-step explanation:
volume = (4/3) * π * r³
= (4/3) * π * 216
Which relationship describes angles 1 and 2?
Select each correct answer.
supplementary angles
vertical angles
complementary angles
adjacent angles
Answer:
Supplementary angles
Adjacent angles
Step-by-step explanation:
They add up to a straight line, which is 180 degrees, therefore they are supplementary.
They also share a side and the corner point, hence adjacent.
Answer: A,D Supplementary Angles
Adjacent Angles
Step-by-step explanation: K12 3.04 test
how would i solve this?
Answer: C
Step-by-step explanation:
The enequality includes x values equal to or greater than -2 and less than(but not equal to) 1.
so the possible integers would be -2 -1 0.
What is the slope of the line shown?
Answer:
1/2
Step-by-step explanation:
The slope is one half, because every time x increases by 1, y increases by 1/2. You can find the slope using the rise over run strategy. You choose a point, and you also choose the point to the right of the point you first chose. You then count how many units up and to the right the right point is.
Its Up/Right.
This version of rise over run however only works when the line is going up.
asif has a bag of 58 sweets he gives 5 of his sweets to each of his 6 friends how many sweets does he have left
Answer:28 if I’m not mistaken
Step-by-step explanation:
A jar contains 7 orange, 3 yellow, and 5 blue marbles. If you pick one without looking, what is the probability that the marble you pick will be neither orange nor yellow?
show work pls tnx!
Answer:
The probability would be 5/15 or 1/3
Total = 7+3+5
= 15
yellow = 3
orange = 7
blue marbles = 5
Answer:
⇒Pgreen or yellow=5\11
Step-by-step explanation:
Probability here is the chance of selection out of a total. So, we need to first find the total number of marbles.
total
=
5
+
3
+
2
+
1
=
11
So there are
11
marbles total. The probability that we pick one of the
3
green marbles out of the
11
is simply that ratio:
P
green
=
3
11
Same idea for yellow:
P
yellow
=
2
11
The probability of picking either of these colors is simply the sum of their probabilities.
P
green or yellow
=
P
green
+
P
yellow
=
3
11
+
2
11
=
5
11
Please help ASAP! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.
If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0714
Step-by-step explanation:
Consider permutation and combination;
[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]
Write a four-digit whole number that is divisible by 2. Use a divisibility rule and explain how you know that your number is divisible by 2.
Answer:
2378
Step-by-step explanation:
it is even. plus 8 is a multiple of 2
Answer:
2738
Step-by-step explanation:
2738 divided by 2 is 1369, and 1369 multiplied by 2 is 2738 also I checked on a calculator lol.
Which of the following options represents a logical first step that can be used
to prove the trigonometric identity
cos(x)/ cos(x)+sin(x)tan(x)=cos^2(x)?
Answer: Option B.
Step-by-step explanation:
Here we can start with the relation
cos(x)^2 + sin(x)^2 = 1
multiply both sides by cos(x)
cos(x) = cos(x)^3 + sin(x)^2*cos(x) = cos(x)^2*(cos(xI + sin(x)^2/cos(x))
now we can replace sin(x)/cos(x) = tg(x)
cos(x) = cos(x)^2*(cos(x) + sin(x)*tan(x))
So the correct option is B
Rickie played eight rounds of miniature golf in June and eight rounds of miniature golf in July. He recorded his score for each round. Rickie’s mother asked him if his scores varied more in June or July. Rickie claims that a measure of center will answer his mother’s question. Is Rickie’s claim correct?
Answer:
The measure of variability should be used.
Step-by-step explanation:
It is provided that Rickie played eight rounds of miniature golf in June and eight rounds of miniature golf in July. He recorded the cores for each round.
Now to determine in which month Rickie's score varied the most the measure of variability would be used and not measure of center.
This is because:
The Measures of Central tendency is a distinct value that describe a data set by recognizing the central location within that data set. The measures of central tendency are every so often are known as measures of central location. They are also known as summary statistics.
Whereas the measure of variability is used to determine the amount of variability in the data set. They represent how far the observations are from the center of the data set.
Thus, to answer his mother's question, the measure of variability should be used.
