Answer:
i would say a but i could be wrong
Step-by-step explanation:
Given f(x) = 3x^3 + kx + 1, and x – 1 is a factor of f(x), then
what is the value of k?
Step-by-step explanation:
Hope it helps man ...........
The value of k is -4.
Given that,
The equation is [tex]f(x) = 3x^3 + kx + 1[/tex].And, x - 1 is the factor of f(x).Based on the above information, the calculation is as follows:
[tex]f(x) = 3x^3 + kx + 1\\\\= 3(1)^3 + k(1) + 1\\\\= 3 + k + 1 \\\\k = -4[/tex]
Therefore, we can conclude that the value of k is -4.
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Consider matrix A.
A=[−385−123]
What matrix results from the elementary row operations represented by −3R2+4R1?
Enter your answer by filling in the boxes.
Answer:
[tex]\left[\begin{array}{ccc}-3&8&5\\-9&26&11\end{array}\right][/tex]
Step-by-step explanation:
Given the matrix A
[tex]\left[\begin{array}{ccc}-3&8&5\\-1&2&3\end{array}\right][/tex]
We are to find the matrix that results from the elementary row operations represented by −3R2+4R1
R2 means row 2
R1 means row 1
Applying the elementary row operation will change the second row of the matrices.
For the first column, second row (a₂₁)
If R1 = -3, R2 = -1
a₂₁ = -3R2+4R1
a₂₁ = -3(-1)+4(-3)
a₂₁ = 3-12
a₂₁ = -9
For a₂₂
If R1 = 8, R2 = 2
a₂₂ = -3R2+4R1
a₂₂ = -3(2)+4(8)
a₂₂ = -6+32
a₂₂ = 26
For a₂₃
If R1 = 5, R2 = 3
a₂₃ = -3R2+4R1
a₂₃ = -3(3)+4(5)
a₂₃ = -9+20
a₂₃ = 11
Hence the resulting matrix will be:
[tex]\left[\begin{array}{ccc}-3&8&5\\-9&26&11\end{array}\right][/tex]-3R2+4R1
Answer:
[-3 5 2]
[-36 23 -1]
Step-by-step explanation:
Note abidemiokin did the steps right just has the "given" wrong.
Given the matrix A
[-3 5 2]
[ 8 -1 3]
We are to find the matrix that results from the elementary row operations represented by −3R2+4R1
R2 means row 2
R1 means row 1
Applying the elementary row operation will change the second row of the matrices.
For the first column, second row (a₂₁)
If R1 = -3, R2 = 8
a₂₁ = -3R2+4R1
a₂₁ = -3(8)+4(-3)
a₂₁ = -24-12
a₂₁ = -36
For a₂₂
If R1 = 5, R2 = -1
a₂₂ = -3R2+4R1
a₂₂ = -3(-1)+4(5)
a₂₂ = 3+20
a₂₂ = 23
For a₂₃
If R1 = 2, R2 = 3
a₂₃ = -3R2+4R1
a₂₃ = -3(3)+4(2)
a₂₃ = -9+8
a₂₃ = -1
Hence the resulting matrix will be:
[-3 5 2]
[-36 23 -1] -3R2+4R1
[tex]5/6(-8/15)[/tex]
Answer:
[tex]\displaystyle \frac{5}{6}\cdot \frac{-8}{15}=-\frac{4}{9}[/tex]
Step-by-step explanation:
Fraction Multiplying
The product of two fractions can be obtained by multiplying their numerators and denominators separately. Then, simplify and show the result.
We are given the product:
[tex]\displaystyle \frac{5}{6}\cdot \frac{-8}{15}[/tex]
Multiply as directed:
[tex]\displaystyle \frac{5}{6}\cdot \frac{-8}{15}=\frac{5*(-8)}{6*15}=-\frac{40}{90}[/tex]
Simplifying by 10:
[tex]\displaystyle -\frac{40}{90}=-\frac{4}{9}[/tex]
Thus:
[tex]\boxed{\displaystyle \frac{5}{6}\cdot \frac{-8}{15}=-\frac{4}{9}}[/tex]
write the number whose prime factorization is give: 2×2×2×7
Answer:
56
Step-by-step explanation:
Multiply it out 2×2×2×7 = 56
An architect wants to build a scale model of a building that is in the shape of a rectangular prism. The building has a height of 500 ft., a width of 120 ft., and a length of 600 ft.The scale model is 1% of the size of the building based off its length and width, so the length of the scale model is and the height of the scale model is .
Height: 5ft.
Legnth: 6ft.
Width: 1.2 ft.
1% of 500 is 5ft
1% of 600 is 6ft
1% of 120 is 1.2ft
The following dotplot shows the number of e-mails that Alejandro deleted each day. Each dot represents a
different day
+
0
2
4 6
10
Number of e-mails
Here is the five-number summary for these data:
Five-number summary
Answer:
0
Step-by-step explanation:
Answer: 0 high outliers
Step-by-step explanation:
I hope this helps!
(-26) + (+6) - (-67)
Answer:
the correct answer is 47
Answer:
47
Step-by-step explanation:
-26 + 6 = -20
-20 - - 67= -20 +67
67-20= 47
Tracy sells water at a fair in 17oz bottles or 11oz cans. If on one shelf she has 11 containers of water that hold a total of 157oz of water, how many bottles and cans of water are on the shelf?
Answer:
Number of bottles = 6
Number of cans = c
Step-by-step explanation:
Given that:
Container for selling water :
17 oz bottle
11 oz can
Let number of bottles = b
Number of cans = c
b + c = 11 - - - (1)
17b + 11c = 157 - - - (2)
b = 11 - c
Substitute into (2)
17(11 - c) + 11c = 157
187 - 17c + 11c = 157
187 - 6c = 157
-6c = 157 - 187
-6c = -30
c = 30/6
c = 5
From ; b = 11 - c
b = 11 - 5
b = 6
Hence,
Number of bottles = 6
Number of cans = c
Answer:
6 bottles and 5 cans
Step-by-step explanation:
Seventy cards are numbered 1 through 70 , one number per card. One card is randomly selected from the deck. What is the probability that the number drawn is a multiple of 3 AND a multiple of 5 ?
Answer:
[tex]Probability = \frac{2}{35}[/tex]
Step-by-step explanation:
Given
[tex]Total = 70[/tex]
First, we need to list the multiples of 5
[tex]M_5 = \{5,10,15,20,25,30,35,40,45,50,55,60,65,70\}[/tex]
Then, multiples of 3[tex]M_3 = \{3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69\}[/tex]
Next, is to list out the common elements in both
[tex]M_3\ n\ M_5 = \{15,30,45,60\}[/tex]
[tex]n(M_3\ n\ M_5) = 4[/tex]
The required probability is then calculated as thus:
[tex]Probability = \frac{n(M_3\ n\ M_5)}{Total}[/tex]
[tex]Probability = \frac{4}{70}[/tex]
[tex]Probability = \frac{2}{35}[/tex]
There are three consecutive even integers. Three times the smallest is twice the largest. What are the integers?
Answer:
8, 10, 12 are the integers
Step-by-step explanation:
Guess and check
What is the constant of the following:
19x - 4y - 2?
Suppose two trains leave a station at the same time, traveling in opposite directions. Train B travels 10 mph faster than Train A. In 3.5 hours, the trains are 336 miles apart. Find the speed of each train.
Answer:
B
Step-by-step explanation:
Train B is faster
Belindas blossom boutique is having a one day sell. Any two daisies cost $1.50. How many daisies could you buy for 8.25
Answer:
11
Step-by-step explanation:
Divide 8.25 by 1.50:
8.25/1.50
= 5.5
Since any two daises cost 1.50, multiply this amount by 2:
5.5(2)
= 11
So, you could buy 11 daisies.
Write an equation in the line in slope intercept form
Answer:
Y=2x-1
Step-by-step explanation:
In order to find the slope, its rise over run. So you would move from (0,-1) to the next point it intercepts, (1,1) and find it from there
As for the Y-Intercept, it would just be wherever the line connects with the Y axis, which happens to be (0,-1) or Negative 1.
Before adding the following fractions, you need to find the common ? 2/3 + 1/6 =
Answer:
denominator
Step-by-step explanation:
Answer:
5/6
Step-by-step explanation:
2/3×2/2 + 1/6
4/6 + 1/6
5/6
Describe the error in the work shown below.
18 + 30 = 6(3 + 10)
Answer:
18+30 = 48
6(3+10) = 78
so they're not equal
Step-by-step explanation:
to be equal we have to change 6(3+10) to 6(3+5)
18+30 = 48
6(3+5) = 48
now they're equal
1b) Answer the following: *
If arc WX = 40' and arc Y Z = 92, find m23.
Answer:
m<3 = 66°
Step-by-step explanation:
<3 is an angle with its vertex inside the circle shown in the diagram. This, it's an internal angle.
The measure of an internal angle is equal to half the sum of the measure of the arcs intercepted.
Thus, the equation that shows relationship between <3 and arc WX and arc YZ is shown below:
m<3 = ½(40 + 92)
m<3 = ½(132)
m<3 = 66°
The measure of m<3 = 66°
Calculation of the measure:Since arc WX = 40' and arc Y Z = 92
So we know that
The measure of an internal angle should be equivalent to half the sum of the measure of the arcs intercepted.
So based on this
m<3 =0.50 (40 + 92)
m<3 = 0.50(132)
m<3 = 66°
hence, The measure of m<3 = 66°
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What is the solution to (x – 3)^3(x+ 1)(x - 2)<0?
Answer:
i have no answer
Step-by-step explanation:
(((x-3²)•3)•(x+1))•(x-2)<0
(3•(x-9)•(x+1))•(x-2)<0
3•(x-9)•(x+1)•(x-2)<0
3•(x-9)•(x+1)•(x-2)<0
Answer:
B
Step-by-step explanation:
Got it on edge
Solve the following equation
4(3-2x)=15
Answer:x= -3/8
Step-by-step explanation:
Answer:
-3/8
Step-by-step explanation:
4(3-2x)=15
-3/8
Can the determinant of a 2 x 2 matrix be zero
Answer:yes
explanation: It’s given that the determinant of the 2x2 matrix is zero. This means that the rows of the matrix are not linearly independent. i.e one row can be made zero by some transformation. R2 - (a)R1 = 0 for some real number a. If we make R2 zero, the rank can not be 2.
Simplify this expression
(6 x 2) + 8 - (40 - 4 x 5)
8 Simplify this expression:
30
12
Answer:
the first one, if you solved it using the calculator, the answer will be 0
What is the number that comes in 21,7,15,11 times table
Answer:
i think it is 105
but 105 divide by 11 is 9.54
Barry used a number line to simplify a numerical expression on a math test.
Which number did Barry add to get a result of 4 on the numerical expression he simplified?
A: 4
B:-14
C:-6
D:14
Answer:
i think its 14 if the number starts all the way at -10 youd have to add 14 to get to four
Rectangle A’B’C’D’ is the image of rectangle ABCD after which of the following rotations?
Answer:
You're right!
Step-by-step explanation:
Answer:
Were you right?
Step-by-step explanation:
Match the numbers with the correct label
Answer:
a= -3/7
b= -0.2
c = -2/8
Step-by-step explanation:
Answer:
-3/7
-2/8
-0.2
Step-by-step explanation:
i did it on khan
34 full. He uses 16 of a full tank’s gas per day driving to and from work.
How many days can Drew drive to work with the gas he has in the tank?
There are 108 pigeons that need pigeon coops. Each coop can hold up to 7 pigeons. How many coops are needed for all 108 pigeons?
15 coops are needed for 108 pigeons
What is unitary method ?
The unitary method is a technique for solving a problem but first finding the value of a single unit , and then finding the necessary value by multiplying the single unit value
using unitary method
Total pigeon = 108
each coop can hold = 7 pigeons
7 pigeons are held by = 1 coop
108 pigeons will be held by = 108 / 7 = 15.43 =15
15 coops are needed for 108 pigeons
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There are 108 pigeons that need pigeon coops, each coop can hold up to 7 pigeons, coops are required for all 108 pigeons.
What are pigeons?"Pigeons are gentle, plump, small-billed birds with a skin saddle (cere) between the bill and forehead."
What are coops?"Pigeon houses are also sometimes referred to as "coops" although the word seems to have originally applied to the breeding pens inside the housing."
Total number of pigeons that needed coops [tex]=108[/tex]
Number of pigeons each coop can hold [tex]=7[/tex]
Number of coops required
[tex]=\frac{108}{7} \\=15.42\\=16[/tex]
Hence, we need approximately 16 coops for all 108 pigeons.
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HELP!!!!
Solve x=9w−3z−15 for w. Do not write w= in your answer.
Answer:
Your answer is: x/9 + z/3 + 5/3
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Hope this helped : )
Which of the following best describes the solution to the equation below?
3(5x+9)=4(6x+10)
A. exactly one real solution,
B. no real solutions
C. exactly one real solution,
D. infinite real solutions
Answer:
can someone answe my question
Step-by-step explanation:
Answer: I need helppp
Step-by-step explanation:
Type you're name and if you get it right you get brainliest