Answer:
[tex]x={-\frac{3\sqrt{2}}{2}, \frac{3}{4}, \frac{3\sqrt{2}}{2}}[/tex]
Step-by-step explanation:
In order to find the zeros of a function, we must first set the equation equal to zero, so we get:
[tex]8x^{3}-6x^{2}-36x+27=0[/tex]
so we can now solve this by factoring. We can factor this equation by grouping. We start by grouping the equation in pairs of terms, so we get:
[tex](8x^{3}-6x^{2})+(-36x+27)=0[/tex]
and factor each group, so we get:
[tex]2x^{2}(4x-3)-9(4x-3)=0[/tex]
and now factor again, so we get:
[tex](2x^{2}-9)(4x-3)=0[/tex]
and now we set each of the factors equal to zero to find the zeros:
[tex]2x^{2}-9=0[/tex]
[tex]2x^{2}=9[/tex]
we divide both sides into 2 to get:
[tex]x^{2}=\frac{9}{2}[/tex]
and take the square root to both sides to get:
[tex]x=\pm\sqrt{\frac{9}{2}}[/tex]
which yields:
[tex]x=\pm\frac{3}{\sqrt{2}}[/tex]
We rationalize so we get:
[tex]x=\pm\frac{3\sqrt{2}}{2}[/tex]
this means that we have two zeros here:
[tex]x=\frac{3\sqrt{2}}{2}[/tex] and [tex]x=-\frac{3\sqrt{2}}{2}[/tex]
so we take the other factor and set it equal to zero.
4x-3=0
and solve for x
4x=3
[tex]x=\frac{3}{4}[/tex]
and that will be our third zero.
What is the product of (9)(-9)(-1)? -
81
-1
1
81
Answer:
81
Step-by-step explanation:
Answer:
D.81
Step-by-step explanation:
happy chrismas every one
plz mark me brainliest
Determine the value of x.
write the value of 50 times the sum of 64 and 36
Answer:
500 :)
Step-by-step explanation:
A restaurant owner plans to use x tables seating 4, y tables seating 6, and z tables seating 8, for a total of 20 tables. When fully occupied, the tables seat 108 customers. If only half of the x tables, half of the y tables, and one-fourth of the z tables are used, each fully occupied, then 46 customers will be seated. Find x, y, and z
Answer:
x = 10, y = 6 and z = 4
Step-by-step explanation:
From the question, we can form simultaneous equations of 3 variables.
Since the total tables is 20, then
x + y + z = 20
If fully occupied, x tables seating 4 will be occupied by 4x customers, y tables seating 6 will be occupied by 6y customers and z tables seating 8 will be occupied by 8z customers. Since we are told that if they occupy the tables with their seating, we will have a total of 108 customers. This gives the equation
4x + 6y + 8z = 108.
From th last statement "if only half ..." We can form the following equation:
(4x)/2 + (6y)/2 + (8z)/4 = 46.
From these we have the equations (after simplifying) to be:
x + y + z = 20 -------------- 1
2x + 3y + 4z = 54 ----------- 2
2x + 3y + 2z = 46 ----------- 3
In order to solve these equations, let's subtract eqn 3 from 2, we have:
2z = 8
z = 4
Putting z = 4 in eqn 1 and eqn 2
We have:
x + y = 16 ----------- 4
2x + 3y = 38 -------- 5
To solve these eqns, multiply eqn 4 by 2 and eqn 5 by 1.
4 x 2 : 2x + 2y = 32 ----------- 6
5 x 1 : 2x + 3y = 38 ------------ 7
Let's subtract eqn 6 from eqn 7, we have:
y = 6. Substituting y = 6 and z = 4 in eqn 1, we have x = 10.
Therefore, x = 10, y = 6 and z = 4
K mola ofkg o okdgmbo9k
Answer: c
Step-by-step explanation:
You have saved $1350 and are now going to invest it. The account you have chosen will compound continuously and after 10 years you will have $1462. What interest rate will the account give you?
Answer:
The account interest rate is 0.80%
Step-by-step explanation:
A=P(1+r/100)^10
1462=1350(1+r/100)^10{divide both sides by 1350}
1462/1350=(1+r/100)^10{find the 10th root of both sides}
1.00800=1+r/100{multiply through by 100}
100.800=100+r
r=100.800-100
r=0.80%
Triangle XYZ is a scale drawing of triangle ABC.
Triangle ABC has side lengths 3, 4, & 5.
Triangle XYZ has corresponding side lengths x, 12, & 15.
What is the value of x?
Answer:
x = 9
Step-by-step explanation:
∆ABC is similar to ∆XYZ
Therefore:
[tex] \frac{AB}{XY} = \frac{BC}{YZ} [/tex]
AB = 4
XY = 12
BC = 3
YZ = x
Plug in the values
[tex] \frac{4}{12} = \frac{3}{x} [/tex]
Cross multiply
4x = 36
Divide both sides by 4
x = 9
You compare the happiness of people forced to smile with those of people forced to frown. Both groups have the same number of participants. The mean happiness level in the smile group is 20. The mean happiness level in the frown group is 19. The standard deviation of both groups is 20. The effect size is:_________
Answer:
0.05
Step-by-step explanation:
The Effect size = (Difference in Means) / (Standard deviation)
= (20 - 19) / 20
= 1/20
= 0.05
please help me asap
Answer:
Not sure what number sense is, but 3 is the answer.
Step-by-step explanation:
Answer:
the answer would be 3.
Step-by-step explanation:
5 times 3 is 15 plus 40 is 55. Hope this helps!!! Please let me know if i'm right!!!
The total cost to buy pizzas from Mrs. miss holiday party can be found using the function C(x)=10+3.50x, where X is the number of pizza bought. She wants to order at least 5 pizzas but no more than 9 pizzas for class. Is this a continuous or discreet relationship?
What is the domain and what is the range of the situation?
Answer:
We have the equation:
C(x) = 10 + 3.50*x
x represents the number of pizzas she buys, x only can take whole values, so we must have x ∈ Z
This means that this relation is discrete because there are only some values of x avaible, and thus there will be only some values of C(x) avaible.
She wants to buy at least 5 pizzas, and no more than 9, then the domain will be:
5 ≤ x ≤ 9
Or we could write the domain as:
{5, 6, 7, 8, 9}
This means that the possible costs will be:
C(5) = 10 + 3.50*5 = 27.50
C(6) = 10 + 3.50*6 = 31
C(7) = 10 + 3.50*7 = 34.5
C(8) = 10 + 3.50*8 = 38
C(9) = 10 + 3.50*9 = 41.50
Then the range is:
{27.50, 31, 34.5, 38, 41.50}
Each batch of 48 cookies that Amy makes takes 20 minutes in the oven. If the oven is on for 3 hours and 55 minutes (15 minutes for preheating) how many cookies did Amy make?
What is the cubic Yardage of a 60'X40'X6"
thick lab?
Answer:
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Step-by-step explanation:
Select all ratios equivalent to 10:9.
26:21 110:99 75:45
Answer:
9:0
Step-by-step explanation:
how do u expect me to explain it
What is tan(x) equal to?
1
2
sin(x)
cos(x)
sin(x)/cos(x)
Answer: sin(x) / cos(x)
Step-by-step explanation: This is just a trigonometric identity you should have memorized :)
Solve the system of equations.
- 52 + 2y = 9
y=73
T =
y =
Show Calculator
Step-by-step explanation:
(1 point)
No, there isn't a more efficient way to solve this system.
Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.
What is the 93rd term of the arithmetic sequence-11,-7,-3
Answer: 361
Step-by-step explanation: 4(the change) times 93 (the term u want) minus 11 (your starting number/term)
Can y’all please help me with this y=-16 + 29t+ 6
Answer: m=29
Step-by-step explanation:
Are these triangles congruent ?
And what is the theorem ?
I will give a brainlist for the correct answer :)
Answer:
Step-by-step explanation:
These two are not congruent. The angle in both triangles must be included inside the two given lines.
So the answer is not congruent.
Frank's Pet Hotel has a dog to cat ratio of 3 to 7. There are 56 cats at the pet hotel.
How many dogs are at the pet hotel?
Answer:
Step-by-step explanation:
i guess u shud make the ratio into x ie 3x:7x
how many years is one million seconds
Answer:
it says 0.0317 calendar year
urgent!! please answer correctly no trolls pls
Answer:
127 degrees
Step-by-step explanation:
96+31+x=180
x=53
180-53=m<1
127m<1
Edward deposited $10,000 into saving accounts 2 years Ago. The simple interest rate is 2%. How much money did Edward earn in interest.
Answer:
the answer is someone else can
Answer:
S = P (r)(t)
Step-by-step explanation:
S = Simple interest
P = Principle
r = rate
t = time
S = (10000 x 2%)x2
Work brackets first 10000 x 2% = 200
then 200 x 2 = 400
S = 400
Which of the following is a linear function?
A
y=2/x + 11
B. 2
y=x + 6
C
y=1/2 (x-9)
Answer:
y=x+6
Step-by-step explanation:
A linear equation is an equation of a straight line, which means that the degree of a linear equation must be
0
or
1
for each of its variables. In this case, the degree of variable
y
is
1
and the degree of variable
x
is
1
.
Any help please thank you I appreciate it
Is credit union the heights rate ? Can anyone help me get the answer
Jada cut 4 pieces of ribbon that were equal in length. She used a total of 5 feet of ribbon. How long, in feet, was each piece of ribbon she cut?
Answer:
1.25 feet
Step-by-step explanation:
5/4=1.25
NEED HELP ASAPInstructions: Find the length of the missing sides. Round your answers to the
nearest tenth. (Hint: Always make sure to label your triangle first with your
reference angle)
Answer:
[tex]x = 9.4[/tex]
[tex]y = 17.7[/tex]
Step-by-step explanation:
Given: The figure
Required: Find x and y
The relationship between length x, length 15 and angle 32 is as follows:
[tex]tan \theta = \frac{opp}{adj}[/tex]
So, we have:
[tex]tan\ 32= \frac{x}{15}[/tex]
Cross multiply:
[tex]x =15*tan\ 32[/tex]
[tex]x = 15 * 0.6248693519[/tex]
[tex]x = 9.3730402785[/tex]
[tex]x = 9.4[/tex] --- approximated
Similarly:
The relationship between length y, length 15 and angle 32 is as follows:
[tex]cos \theta = \frac{adj}{hyp}[/tex]
So, we have:
[tex]cos\ 32= \frac{15}{y}[/tex]
Cross Multiply:
[tex]y * cos\ 32= 15[/tex]
Solve for y
[tex]y = \frac{15}{cos\ 32}[/tex]
[tex]y = \frac{15}{0.84804809615}[/tex]
[tex]y = 17.6876760506[/tex]
[tex]y = 17.7[/tex] --- approximated
2 balloons and 3 cakes cost $26.
4 balloons and 4 cakes cost $40.
What's the cost of 1 balloon?
What's the cost of 1 cake?
Answer:
The cost of one balloon is 4 dollars
the cost of one cake is 6 dollars
Step-by-step explanation:
The way I did it was by substituting different numbers and seeing if they equaled forty or 26.
my thought process:
1 balloon= 5
1 cake= 10
that doesnt work for 2 balloons and 3 cakes
1 balloon=5
1 cake=5
that works for 4 balloons and 4 cakes but not 2 balloons and 3 cakes
1 balloon=4
1 cake=7
I'm sorry I'm way too tired to finish this 0-0 anyways yeah that's the correct answer :)
Hurry plzzzz!! It’s for a test and I’m stuck
Answer:
im pretty sure it is 2m + 10
bc the min is going up by 2 every time and the gallons are going up by 10 each time
Step-by-step explanation
i commented b4 i actually answered it bc it wouldnt let me sry
harrison spent 1 and 1/2 hours hiking 3/4 hours swimming and 1 1/3 hours fishing during his last camping trip. in total, how many hours did he spend doing there?
Answer:
5 11/12 hours
Step-by-step explanation:
Make your common denominators 12. then when you add up you get 5 11/12.
Hope this helps and good luck :)
find the slope of the line that contains (2,5) and (5,3)
Answer:
the slope is -2/3 hope that helps
