Answer:
The answers are no, no, yes, no
factorize 2x⁴+x³-14x²-19x-6
no spam and kindly explain your answer!
Answer:
(x + 1)(x + 2)(2x + 1)(x - 3).
Step-by-step explanation:
From the leading and last coefficients, 2 and -6 the values +/- 1, +/-2 , +/- 3 could be roots of this equation ( well, up to 4 of them).
Try x = 1:
f(1) = 2(1)^4 + 1^3 - 14(1)^2 - 19(1) - 6 = -36 so its not 1.
f(-1) = 2 - 1 - 14 + 19 - 6 = 0 do x = -1 is a root.
Therefore (x + 1) is a factor (By the factor theorem)
Try x = 2:
f(2) = 32 + 8 -56 - 38 - 6 = -6o so x =2 not a root.
f(-2) = 32 - 8 - 56 + 38 - 6 = 0 so x = -2 is a root and (x + 2) is a factor.
(x + 1)(x + 2) = x^2 + 3x + 2.
Long division:
2x^2 - 5x - 3 <-----------Quotient
--------------------------------------------
x^2 + 3x + 2 ) 2x^4 + x^3 -14x^2 - 19x - 6
2x^4 + 6x^3 + 4x^2
-5x^3 - 18x^2 - 19x
-5x^3 - 15x^2 - 10x
-3x^2 - 9x - 6
-3x^2 - 9x - 6
.......................
2x^2 - 5x - 3 = (2x + 1)(x - 3)
So Finally, the factors are (x + 1)(x + 2)(2x + 1)(x - 3).
Please help me with this
Answer:
216in
Step-by-step explanation:
6 + 8 + 10 = 24
24 * 9 = 216
what percent of 4$ is 60 cents
no links
Answer:
15%
Step-by-step explanation:
You kind of have two ways to do this:
Way 1:
Find how many 60 cents fit into $4. To do that, divide $4 by $0.60 or 400 by 60. You get 6.66666667.
You can divide 100 by 6.66666667, and get 15%,
Way 2:
Knowing that 400 cents is 100%, you can divide 60 by the same number that you divide 400 by to get to 100. To get from 400 to 100, you divide by 4, so divide 60 by 4 and get the same answer, 15%
Hope that helps :)
Taylor is building doghouses to sell. Each doghouse requires 3 full sheets of plywood which Taylor cuts into new shapes. The plywood is shipped in bundles of 14 full sheets. How many doghouses can Taylor make from 12 bundles of plywood?
Answer:
Step-by-step explanation:
taylor is building doghouses to sell. each doghouse requires 3 full sheets of plywood which taylor cuts into new shapes. the plywood is shipped in bundles of 14 full sheets. how many doghouses can taylor make from 12 bundles of plywood?
Please answer this equation 4x+1-1 > -8
Answer:
+1-1=0
4x>-8
x>-2
Step-by-step explanation:
Answer:
x>−2
Step-by-step explanation:
2 3/8 • 1 1/6
Help step sis I'm stuck
Answer:
2.77083333333
Step-by-step explanation:
I assume. Do not hold me account for mistakes, I apologize if my work is incorrect. Have a good day/night :}
6. The swing set on the playgrounds is getting wobbly, and you have been asked to put outrigger boards to help stabilize it. If the crossbar of the swing is 10 feet off of the ground, the outrigger to be attached at a 40 degree angle, and you want to bury the outrigger boards 3 feet onto the ground, how long would the boards have to be? (Hint: the outrigger is the hypotenuse of a right triangle)
Answer:
[tex]X=18.6ft[/tex]
Step-by-step explanation:
From the question we are told that:
Height of swing's crossbar [tex]H=10ft[/tex]
Angle [tex]\theta=40 \textdegree[/tex]
Depth of outrigger [tex]d_=3ft[/tex]
Generally the equation for slant height l is mathematically given by
[tex]l=\frac{opposite}{sin\theta}[/tex]
Therefore
[tex]l=\frac{H}{sin\theta}[/tex]
[tex]l=\frac{10}{sin 40\textdegree}[/tex]
[tex]l=15.6ft[/tex]
Since the Depth of outrigger
[tex]d_=3ft[/tex]
Therefore Length of the board X
[tex]X=l+d[/tex]
[tex]X=15.6+3[/tex]
[tex]X=18.6ft[/tex]
What is C26 ?
12
15
8
30
Answer:C26 is also a Category of EAD (Employment Authorization Document) provided to immigrant workers in U.S. These are dependents of H1b visa holders commonly referred to as H4-EAD.
Step-by-step explanation:
Answer:
Its 15
Step-by-step explanation:
Pls help! First correct answer gets brainliest!!
Answer:
3 and -(-2)
Step-by-step explanation:
Convert 6.3 meters to millimeters.
Answer:6300mm
Step-by-step explanation:
Write the ratio 1:8 : 4:2 in its simplest form
Answer:
1/8 and 2/1 or 1:8 and 2:1
Step-by-step explanation:
can anybody help me with these?
please answer this question!! whoever answers correctly will get brainiest!!!
Answer:
x
=
2
Step-by-step explanation:
Answer:
Hello! answer: x = 12
Step-by-step explanation:
with these you have to cross multiply so 2 x 24 = 48 so now we know that 4 multiplied by something will equal 48 so we can simply do this by doing 48 ÷ 4 and 48 ÷ 4 = 12
Dylan draws up a plan to fence in a yard for his chickens. This distance between grid lines is 1 foot. A. Is 30 feet of fencing enough to enclose the yard?
What is the mean of the data set? {11, 14, 15, 16, 16, 18, 20, 20, 22, 22} A. 11 B. 15.6 C. 17.4 D 18
Answer:
C. 17.4
Step-by-step explanation:
add all the numbers and then divide
11 + 14 + 15 + 16 + 16 + 18 + 20 + 20 + 22 + 22 = 174
then divide by the amount of numbers there is which is 10.
174/10 = 17.4
4. One week Lin's balance at the start of the week was (- $16) but she
earned $20 from babysitting and deposited it into her bank account. What was her
account balance at the end of the week?
The ratio of the weights of A and B is equal to the ratio of the weights
of C and D. If A is 20 kg, B is 24kg and C is 40 find out the value of D .
Answer:
D = 48kg
Step-by-step explanation:
The ratio of the weights of A and B is equal to the ratio of the weights
of C and D.
From the above question
A : B = C : D
This can also be interpreted as
A/B = C/D
A is 20 kg
B is 24kg
C is 40kg
D is ?
Therefore:
20/24 = 40/D
Cross Multiply
20D = 24 × 40
D = 24 × 40/20
D = 48
Therefore, D = 48kg
Henrietta did an experiment. She started out with 800 bacteria cells. She found that the growth rate of the bacteria cells was 3.2%. Sketch the graph that represents the situation. Label the y-intercept and the point that represents the projected bacteria population 35 h from the time Henrietta started the experiment. I need help asap please
Answer:
See belowStep-by-step explanation:
Given
Initial number of bacteria = 800Growth rate = 3.2% = 1.032 timesRequired equation:
B(t) = 800(1.032)^t, where B- number of bacteria, t- time in hoursThe y-intercept is:
B(0) = 800*1.032^0 = 800The point (0, 800)Bacteria population 35 in hours:
B(35) = 800*1.032^35 = 2409The point (35, 2409)HELP ME PLSSS NO LINKSS I WILL REPORT
Answer:
I would say b as it's easier to group and find a common denominator
Step-by-step explanation:
Someone please please help me
No links or files
The answer is C for the first question. Blank 1 the answer is 29. Blank 2 the answer is 7. I hope this helps, have a good day!
A bag with 10 marbles has 2 yellow marbles, 4 blue marbles, and 4 red marbles. A marble is chosen from the bag at random. What is the probability that it is yellow?
Answer:
P(Y) = 2/10 = 1/5
Step-by-step explanation:
From the above question:
Total number of marbles = 10 marbles
Number of yellow marbles = 2 yellow marbles
Number of blue marbles = 4 blue marbles
Number of red marbles = 4 red marbles.
The probability of choosing a marble that is yellow is calculated as:
= P(Y) = Number of yellow marbles/Total number of marbles
P(Y) = 2/10
P(Y) = 1/5
What is the possible number of turns for a square
Answer: 5
Step-by-step explanation:
Plsss hElpp!!!!! TY!!
Find the area of the circle below, to the nearest tenth. Use 3.14 for t.
Given:
A circle with diameter 9 cm.
To find:
The area of the circle.
Solution:
The area of a circle is:
[tex]A=\pi r^2[/tex] ...(i)
Where r is the radius.
We know that, the diameter of a circle is twice than its radius.
The diameter of the given circle is 9 cm.
[tex]r=\dfrac{9}{2}[/tex]
[tex]r=4.5[/tex]
Substituting [tex]r=4.5, \pi =3.14[/tex] in (i), we get
[tex]A=(3.14)(4.5)^2[/tex]
[tex]A=(3.14)(20.25)[/tex]
[tex]A=63.585[/tex]
[tex]A\approx 63.6[/tex]
Therefore, the area of the given circle is 63.6.
If the mean of the data set shown below is 11, find x.
x, 12, 8, 15
11.5
10
9
Answer:9
Step-by-step explanation:
You have to add it together
HELP ASAP
What is the solution to the given system of equations?
y=4x-28
y=1.5x-18
1(-12,4)
2.(2,-12)
3.(7,0)
4.(7.5,2)
Answer:
Solution (4, -12)None of the listed choices are a solution
Step-by-step explanation:
y = 4x - 28
y = 1.5x - 18
Set the equations equal since both equal y
4x - 28 = 1.5x - 18
Subtract 1.5x from both sides
2.5x - 28 = -18
Add 28 to both sides
2.5x = 10
Divide both sides by 2.5
x = 4
---------------------
use x= 4 in either equation
y = 4x - 28
y = 4(4) - 28
y = 16 - 28
y = -12
--------------------
Solution (4, -12)
divide the sum of 15 and 16 by 5
Answer:
6.2
Step-by-step explanation:
15+16=31
31/5=6.2
Step-by-step explanation:
[tex]15 + 16 \div 5 \\ calculate \: the \: sum \: of \: 15 \: and \: 16 \\ 31 \div 5 = 6 \frac{1}{5} \\ or \: 6.2[/tex]
FIND THE ANSWER AND I WILL GIVE BRAINLIEST AND 50 POINTS
Answer:
Paul needs to work for 50 weeks.
Step-by-step explanation:
1,500+200= 1700
14,200-1,700= 12,500
12,500/125= 100
100/2= 50
let me know if this is wrong.
Describe all the x-values at a distance of 20 or less from the number 12. Enter your answer in interval notation.
Answer: [tex]12< x \leq 20[/tex]
Step-by-step explanation:
Given
x is at a distance of 20 or less i.e. x can be 20 or less
[tex]x\leq20[/tex]
and it starts from the number 12 i.e.
[tex]12< x[/tex]
In interval notation it is
[tex]12< x \leq 20[/tex]
Please I need help!!!!!
Answer:
Solution given:
we have
f(x)=x²-9x-36
let
y=x²-9x-36
when
x=0
y=-36
when
y=0
0=x²-9x-36
x²-12x+3x-36=0
x(x-12)+3(x-12)=0
(x-12)(x+3)=0
either
x=12
x=-3
So,
x and y intercepts are (-3,0)(12,0) and 0,-36)
Please help, my brain just sucks rn. The area of a rectangle is 93.6 square inches. If the length of one of its sides is 5.2 in. what is its perimeter?
46.4 inch
Step-by-step explanation:
Area=l×b
93.6 =5.2×b
93.6/5.2 =b
So b= 18
Again,
p=2(l+b)
p=2(18+5.2)
p= 2×23.2
p=46.4