Answer:
-20 -d
Step-by-step explanation:
-(20+d)
Distribute he minus sign
-20 -d
Which number is the largest?
Answer:
54.895
Step-by-step explanation:
hopes it's help you
(7 - 1) to the 2 power plus 2 and to the 4 power - 8
The answer is 56. work is shown below.
Step 1: apply 2nd power to everything inside parentheses
(7 - 1)² = 7² - 1²
Step 2: apply exponents (remember, exponents are a shorter way to express a number multiplied by itself a number of times).
1 x 1 = 1
7 x 7 = 49
Step 3: subtract
49 - 1 = 48
Step 4: apply exponent
2 x 2 x 2 x 2 = (2 x 2) x (2 x 2)
2 x 2 = 4
2 x 2 = 4
4 x 4 = 16
2⁴ = 16
Step 5: add
48 + 16 = 64
Step 6 (final step): subtract
64 - 8 = 56
final answer: 56
The expression 2x³+ ax² + bx-30 is divisible by x + 2 and leaves a remainder of -35 when divided by 2x-1. Find the values of the constants a and b.
I will give brainliest to correct answer
Answer:
a = 5, b = - 13
Step-by-step explanation:
The Remainder theorem states that the remainder when f(x) is divided by (x - a) is equal to f(a)
Thus the remainder for division by (x + 2) is zero , then by substituting x = - 2 into the expression.
2(- 2)³ + a(- 2)² + b(- 2) - 30 = 0
2(- 8) + 4a - 2b - 30 = 0
- 16 + 4a - 2b - 30 = 0
- 46 + 4a - 2b = 0 ( add 46 to both sides )
4a - 2b = 46 → (1)
----------------------------------------------------
Similarly when f(x) is divided by (cx - a) the remainder is f([tex]\frac{c}{a}[/tex] )
The remainder on dividing by (2x - 1) is - 35, then by substituting x = [tex]\frac{1}{2}[/tex]
2([tex]\frac{1}{2}[/tex] )³ + a([tex]\frac{1}{2}[/tex] )² + [tex]\frac{1}{2}[/tex] b - 30 = - 35
2([tex]\frac{1}{8}[/tex] ) + [tex]\frac{1}{4}[/tex] a + [tex]\frac{1}{2}[/tex] b - 30 = - 35 ( add 30 to both sides )
[tex]\frac{1}{4}[/tex] + [tex]\frac{1}{4}[/tex] a + [tex]\frac{1}{2}[/tex] b = - 5 ( multiply through by 4 to clear the fractions )
1 + a + 2b = - 20 ( subtract 1 from both sides )
a + 2b = - 21 → (2)
Solve (1) and (2) simultaneously )
Add (1) and (2) term by term to eliminate b
5a = 25 ( divide both sides by 5 )
a = 5
Substitute a = 5 into (2)
5 + 2b = - 21 ( subtract 5 from both sides )
2b = - 26 ( divide both sides by 2 )
b = - 13
According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). The value of a and b are 5 and -13, respectively.
What is the Remainder theorem?According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). If P(t)=0, then the (x-t) is the factor of the polynomial.
Using the remainder theorem we can write,
f(x) = 2x³+ ax² + bx - 30
f(-2) = 2(-2)³ + a(-2)² + b(-2) - 30 = 0
-16 + 4a - 2b - 30 = 0
4a - 2b = 46 ........ equation 1
f(x) = 2x³+ ax² + bx - 30
f(1/2) = 2(1/2)³ + a(1/2)² + b(1/2) - 30 = -35
(1/4) + a(1/4) + b(1/2) = -35 + 30
(1+a+2b)/4 = -5
1 + a + 2b = -5 × 4
a + 2b = -21 .......... equation 2
Adding the two equations,
4a + 2b + a - 2b = 46 - 21
5a = 25
a = 25/5
a = 5
Substitute the value of a in any one of the equation,
a + 2b = -21
5 + 2b = -21
2b = -21 - 5
2b = -26
b = -26/2
b = -13
Hence, the value of a and b are 5 and -13, respectively.
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What is the equation of a line parallel to y=1/3x-4 that passes through (9,8)?
Step-by-step explanation:
Given line y=1/3x-4
slope of given line m=1/3
Slope of required line :
m=1/3
As lines are parallel then slope of lines are equal.
Using point slope form:
y-y1=m(x-x1)
p(x1,y1)=(9,8)
y-8=1/3(x-9)
3y-24=x-9
x-3y-9+24=0
x-3y+15=0
Note:if you need to ask any question please let me know.
Which of the following statements are true? Select all that apply. A. 1,000 is both a perfect square and a perfect cube. B. 27 is a perfect cube. C. 6 is neither a perfect square nor a perfect cube. D. 9 is a perfect cube. E. 36 is a perfect square.
Answer:
C
E
Step-by-step explanation:
Find the equation of the line with slope m
= -1/2 that contains the point (-10, 1).
In slope intercept form
Answer:
y = - [tex]\frac{1}{2}[/tex] x - 4
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~~~~~~~
m = - [tex]\frac{1}{2}[/tex]
( - 10, 1 )
y - 1 = - [tex]\frac{1}{2}[/tex] [ x - ( - 10 )]
y - 1 = - [tex]\frac{1}{2}[/tex] x + ( - [tex]\frac{1}{2}[/tex] )(10)
y = - [tex]\frac{1}{2}[/tex] x - 4
Sarah is going to pay for an item using gift cards. The clerk tells her tht she will need 2 gift cards and as additional $3 to pay for the item.
Write an algebraic equation to find the cost for any amount of gift cards
Answer:
Step-by-step explanation:
t=2g+3.
Solve using substitution.
6x + y = 7
8x + 9y = 17
(_,_)
Please help me I really need it
Simplify addition radical expression
√36+√64
Answer:
14
Step-by-step explanation:
√36+√64
√36=6
√64=8
6+8
14
THANK YOU
Theresa and her nine classmates took a standardized test. Their scores were: 88, 49, 92, 47, 61, 94, 94, 76, 79, and 92. Theresa received an 88 on the test. Which percentile is she in
Answer: 60th
Step-by-step explanation:
First order the values from least to greatest:
47, 49, 61, 76, 79, 88, 92, 92, 94, 94.
We can note that the 88 is the 6th of 10 values, so 6/10 = 0.60 or the 60th percentile.
Theresa is in 60 percentile.
What is standardized test?A test that is administered and scored in a consistent, or "standard," manner is known as a standardized test. The questions and interpretations on standardized tests are designed to be consistent and are administered and scored in a predetermined, standard manner.
A standardized test is one in which the same test is given to all test takers in the same way and graded in the same way for everyone.
Given scores
88, 49, 92, 47, 61, 94, 94, 76, 79, and 92.
arrange in increasing order,
47, 49, 61, 76, 79, 88, 92, 92, 94, 94
Theresa got 88, which is sixth term
percent = term x 10
percent = 6 x 10 = 60%
Hence, she is in 60%.
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Plz help
Elimination method
1.
3x-5y=3
4x-15=-21
2. 1000 tickets were sold for a school play. The regular price tickets were $5. Tickets for reserved seating was $2 more. The box office took in a total of $5300. How many tickets of each type were sold?
Answer:
1. (6,3)
2. x = 850, y = 150
Step-by-step explanation:
1. 3x-5y=3
4x-15y=-21
-9x +15y=-3 (multiply by -3)
4x-15y=-21
-5x=-30
x = 6
3(6)-5y=3
18-5y=3
-5y= -15
y= 3
so, x = 6, y = 3
2.
let x be regular
let y be reserved
x+y=1000
x= 5, y= 5+2=7 ("2 dollar more")
5x+7y=5300
x+y=1000
use the elimination method
x=850, y=150
so, the regular tickets were 850 and reserved tickets were 150 sold.
find the length of BE BC=3x+47 DE=10 BD=x+27 CE=x+26
Answer:
B____C____D_____E
BC+ CE = BD + DE
(3x+47) + (x+26) = ( x+27) + (10)
4x + 73 = x + 37
4x – x = 37 – 73
3x = ‐ 36
x = – 36/ 3 —> x = – 12
BC = 3x + 47 = 3(-12) + 47 = - 36 + 47 = 11
BD = x+ 27 = –12+27 = 15
CE = x + 26 = –12+26= 14
So; BE = BD+ DE = 15+ 10= 25Or ;BE= BC + CE = 11+ 14 = 25I hope I helped you^_^
Find the smaller of 2 consecutive even integers if the sum of twice the smaller integer and the larger
integers is -16.
Answer:
n = -6
Step-by-step explanation:
2n + (n + 2) = -16
3n + 2 = -16
3n = -18
Which equation does not have the same solution as the others
×/3 =3
X + 9 = 12
11 x= 33
X - 2 = 1
Answer:
the first cuz in
x/3 = 3
x = 9
and in others x = 3
...............
Answer:
x/3=3
Step-by-step explanation:
because is undiferned because x can not be x/3=3
what is 0.4 repeating written as a fraction
Answer:
0.4 as a fraction would be 2/5
Answer: 4/9
Step-by-step explanation:
How many hours will a car use to travel at speed of 10km per hour if the distance is 2 miles
What are the domain and range of the function below?
PLZ help me i hate algebra 2 and i started school last week
Answer:
According to the graph the point (0, 4) is the maximum of the function.
So the domain:
x = [0, +∞)The range:
y = (-∞, 4]One week, Rachel earned $250. She spent $120 on food, $30 on miscellaneous items, and saved the rest.
If Rachel makes a pie chart showing how she spends her money, the central angle for the food sector would be __________.
187°
173°
90°
144°
3.0040916 to the nearest hundred thousandth
Answer:
3.004
Step-by-step explanation:
If you were to round it like this: 3.0041, the thousands place would still be 4, so it would come out to be 3.004. Hope that helps!!
A display case of plastic bracelets are marked 13 for $3. If Nate has $60, how many plastic bracelets can Nate get? (assume no other taxes or fees)
Answer:
$4
Step-by-step explanation:
We can write a ratio to solve
15 stickers 30 stickers
----------------- = -------------
2 dollars x stickers
Using cross products
15x = 2*30
15x = 60
Divide by 15
15x/15 = 60/15
x = 4
The product of two whole numbers is 588 and their sum is 49. What are the two numbers?
Answer:
Here is your answer. HOPE THIS HELPS YOU! STAY BLESSED.
Answer:
28,21
Step-by-step explanation:
let the numbers be x and y
x+y=49
y=49-x
xy=588
x(49-x)=588
49x-x²=588
x²-49x+588=0
[tex]x=\frac{49 \pm \sqrt{49^2-4*1*588} }{2*1} \\=\frac{49 \pm \sqrt{2401-2352} }{2} \\=\frac{49 \pm\sqrt{49} }{2} \\=\frac{49 \pm 7}{2} \\=\frac{49+7}{2} ,\frac{49-7}{2} \\=28,21[/tex]
find the derivative of the function y= x^20
Answer:
Step-by-step explanation:
[tex]\frac{dy}{dx} =20x^{19}[/tex]
Show Work! There are 380 students, teachers, and chaperones going on school buses for a field trip. Each school bus can hold 68 passengers. Everyone will ride on a school bus. How many school buses does this group need?
Answer:
6 buses
Step-by-step explanation:
i believe you just have to divide 380/68
then it'll give you 5.5 and then have to round to the nearest integer
Does this picture indicate that < JAC =
Answer:
No
Step-by-step explanation:
<JAC = 93
< DBE = 90
The two angles are not equal
Is square root of 11+10 a rational or irrational number
Answer:
Irrational Number is the answer
Answer:
[tex] \sqrt{11 + 10} = \sqrt{22} = 4.69041576 [/tex]
THIS IS IRRATIONAL
Step-by-step explanation:
The correct answer is irrational and the reason for that is the decimals for sqrt of 22 are non-recurring, are non-terminating and lastly it cannot be expressed in a form of a fraction.
I hope this makes sense
:)
The university of Michigan football stadium can hold 107,601 people. Michigan states football stadium can hold 75,001 people. 51,000 people can fit in the football stadium at the university of North Carolina and 40,004 people can fit in duke universities stadium which is also in North Carolina. How many more people can fit in the stadiums in Michigan combined than in the stadiums in North Carolina combined
Answer:
56,601
Step-by-step explanation:
Find the quotient.
154 divided by 14
Answer:
11
Step-by-step explanation:
[tex]\frac{154}{14} =11\\\\check: 11*14=154[/tex]
154 divided by 14 equals 11.
To find the quotient of 154 divided by 14, we perform long division as follows:
11
14 | 154
First, we consider how many times 14 can be divided into 15, which is 1. We write the quotient, 1, above the line.
Next, we multiply 14 by 1, which equals 14. We subtract 14 from 15, resulting in 1. We bring down the next digit, which is 4.
We now consider how many times 14 can be divided into 14, which is 1. We write the quotient, 1, next to the 1 above the line.
Multiplying 14 by 1 gives us 14. Subtracting 14 from 14 gives us 0.
Since there are no more digits to bring down, we can conclude that the quotient is 11.
Therefore, 154 divided by 14 equals 11.
Long division is a method used to find the quotient and remainder when dividing two numbers. It involves dividing, multiplying, subtracting, and bringing down digits until there are no more digits to bring down. In this case, the quotient is 11, indicating that 154 can be divided by 14 precisely 11 times without any remainder.
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evaluate the expression
Step-by-step explanation:
13
[tex]3 + (20 \div 5) - ( {2}^{2}) [/tex]
[tex]3 + 4 - 4 = 3[/tex]
15
[tex] \frac{10 - {3}^{2} }{20 - (3 \times 4)} [/tex]
[tex] \frac{10 - 9}{20 - 12} [/tex]
[tex] \frac{1}{8} [/tex]
simplify y + 5 - y - 6
Answer:
-1
Step-by-step explanation:
Subtract the numbers: y+5-y-6
Combine like terms: y-1-y
= -1
(c) 5 points possible (graded) The problem you encountered in part (b) is called separation . It occurs when the can be perfectly recovered by a linear classifier, i.e., when there is a such that In order to avoid this behavior, one option is to use a prior on . Let us investigate what happens if we assume that is drawn from a distribution, i.e., What is the joint log likelihood of this Bayesian model
We have that these are the key points given below
The Bayesian Theorem is a theorem that centers or basis its claim on the facts that the probability of an event occurring is based on Prior Knowledge that of situation or Prior factors of the Event.
Likelihood function is a function that take into account all statistical model and determine there best application given the statistical data given.
Bayesian Theorem
The Bayesian Theorem is a theorem that centers or basis its claim on the facts that the probability of an event occurring is based on Prior Knowledge that of situation or Prior factors of the Event
i'll explain further with an example
Given that when two unfair dice are thrown a 100 times the probability of getting the higher figure in the range of 6-8 , Therefore the Bayesian Theorem simply assumes that this range of 6-8 to be the highest for all 100 throws of two dice.
The Bayesian model is given as
[tex]B=Prior * Likelihood=Posterior * Marginal[/tex]
Bayesian model is a statistical model.
This leads us to the definition of the Likelihood function
Likelihood function is a function that take into account all statistical model and determine there best application given the statistical data given.
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