Answer:
x³ - 4x² + 2x + 4 = 0
Here's how I solved this:
You start off by rewriting the zeros into factors:
1 - √3 → x = 1 - √3 → (x - 1 - √3)
2 → x = 2 → (x - 2)
1 + √3 → x = 1 + √3 → (x - 1 + √3)
Now you want to multiply the factors together:
(x - 1 - √3) · (x - 2) · (x - 1 + √3)
- Multiply the first two factors together -
(x - 1 - √3) · (x - 2)
↓
(x · x - x · 2 - √3 · x + √3 · 2 - x + 2)
- Combine like terms and simplify -
(x · x - x · 2 - √3 · x + √3 · 2 - x + 2)
↓
(x² - 3x - √3 · x + 2√3 + 2)
- Now multiply the third factor -
(x² - 3x - √3 · x + 2√3 + 2)(x - 1 + √3)
↓
(x² · x + x² · √3 - x² - 3x · x - 3x · √3 + 3x - √3 · xx - √3 · x · √3 +√3 · x + 2 · √3 · x + 2 · √3 · √3 - 2 · √3 + 2x + 2 · √3 - 2)
↓
(x³ + x² · √3 - x² - 3x² - 3x · √3 + 3x - √3 + 3x - √3 * x² - x · 3 + √3 · x + 2 · √3 · x + 2 · 3 - 2 × √3 + 2x + 2 √3 - 2)
- Combine like terms and simplify -
(x³ + x² · √3 - x² - 3x² - 3x · √3 + 3x - √3 + 3x - √3 * x² - x · 3 + √3 · x + 2 · √3 · x + 2 · 3 - 2 × √3 + 2x + 2 √3 - 2)
↓
x³ - 4x² + 2x + 4
--------------------------------------------------------------------------------------------------------------
And there we get our solution: x³ - 4x² + 2x + 4
Find the exponential function f(x)=ab^x that satisfies the conditions f(0)=-4 and f(-2)=-64.
f(x)=
[tex]f(x) = ab^x~\hfill \begin{array}{llll}\textit{we know that}~f(0)=-4\begin{cases}x=0\\f(x)=-4\end{cases}\\\\-4=ab^0\implies -4=a(1)\implies -4=a\end{array}\\\\\\\stackrel{therefore}{f(x)=-4b^x}~\hfill \textit{we also know that}~f(-2)=-64\begin{cases}x=-2\\f(x)=-64\end{cases}[/tex]
[tex]-64=-4b^{-2}\implies \cfrac{-64}{-4}=b^{-2}\implies 16=b^{-2}\implies 16=\cfrac{1}{b^2} \\\\\\ b^2=\cfrac{1}{16}\implies b=\sqrt{\cfrac{1}{16}}\implies b = \cfrac{\sqrt{1}}{\sqrt{16}}\implies b = \cfrac{1}{4} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill f(x)=-4\left( \frac{1}{4} \right)^x~\hfill[/tex]
A crew of highway workers paved 1/5 mile in 1/8
hour. If they work at the same rate, how much
will they pave in one hour?
Answer: 2/5 Step-by-step explanation: The easiest approach is to realize that one hour is 3 times longer than 20 minutes. The longer the time, the more they will pave.
which of the following are needed to make an expression?
a- equal sign
b-number(s)
c-operation(s)
d-variable(s)
Answer:
Truly, it's all of the above!
TRANSLATE THIS SENTENCE INTO AN EQUATION FOR BRAINLIEST!!!
Answer:
d x 7 = 105
Step-by-step explanation:
Need help asap algebra 1
Answer:
Charlie is walking to the stadium. He has to wait for the traffic to stop, so he can cross the street. The light turns red and he is able to cross. He makes it to the stadium.
Step-by-step explanation:
hope this helps!!
Answer:
Charlie began walking and continued at a speed of 4 mph for 24 minutes. Then he stopped walking and took an 8-minute rest. He then walked for 16 minutes at a constant speed of 4 mph. Finally, Charlie slowed his pace down but kept walking for another 16 minutes.
What do you add to 17/4 to make 5?
The number that can be added to 17/4 to make 5 is 3/4
How to add fractionsGiven
Add to 17/4 to make 5
let
x = number addedx + 17/4 = 5
x = 5 - 17/4
x = (20-17) / 4
x = 3/4
Learn more about fraction:
https://brainly.com/question/11562149
candy is 5 years older than one-third Liam's age .if candy is 16,how old is Liam
Answer:
33
Step-by-step explanation:
16-5=11
11×3=33
so yeah
Answer:
18
Step-by-step explanation:
Please help me!! I don't understand
No linksssss
Answer:
thanks haahhahahaha
Step-by-step explanation:
factorise this
12a²+20a
Answer:
4a(3a+5)
We take H.C.F of both number and the variables then we compare the HCF number and variable with our question and equate and write the answer about how much should be multiplied from the H.C.F answer to get the question.
Use the exponential regression equation that best fits the data (10,4). (12,20), (13,35), and (16,300) to estimate y when x = 15.
A 53.1
В. 97.2
C. 146.7
D. 254.8
Answer:
c 146.7
Step-by-step explanation:
cuz
Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !
Answer:
15)alternate exterior, 16) corresponding angles 17) alternate exterior 18) same side interior
19) alternate interior
Find the value of k so that (x + 3) is a factor of H(x) = 3x^3 – 2x^2 + kx – 3.
A. 34
B. 20
C. -20
D. -34
E. 32
Which graph shows Point P as (–5,6) and Point Q as (3,–4)?
hich graph shows Point P as (–5,6) and Point Q as (3,–4)?
HELP ME OUT PLEASE!!!
Which function represents the relationship between x and y?
D) y = x - 2
C) y = x + 4
B) y = 2x
A) y = x + 2
Answer:
The Answer is "A"
Step-by-step explanation:
x+2=y
PLS HELPPPPP!!!!!!!!
Answer:
not even bill nye could solve this
Employee only meals
Meals with clients
Total meals expensed must not exceed allowed expenses based on given rates
Answer:
50 percent the cost of meals
Find the equation of the line.
Answer:
y = 2x + -3
Step-by-step explanation:
Use the equation y=mx+b
m is the slope (2 in this case)
b is the y intercept (-3 in this case)
The equation of the line would be y = 2x + -3
what is the answer when you multiply 5.30 one by 5.02
Answer:
I think is there answer is 26.606
132.16 divided by 16
Answer: 8.26
Step-by-step explanation:
Should I Explain How I got it?
132.16 divided by 16 is equal to 8.26.
Here, we have,
given that,
132.16 divided by 16
so, we have, 132.16 ÷ 16
To find the quotient of 132.16 divided by 16,
we can perform long division:
8.26
____________
16 | 132.16
112
____________
20
Therefore, 132.16 divided by 16 is equal to 8.26.
To learn more on division click:
brainly.com/question/21416852
#SPJ6
5x + y = 11
3x − y = 9
Answer:
x = 5/2y = -1.5Step-by-step explanation:
5x + y = 113x − y = 9
=> 5x + y = 11+3x − y = +9
=> 8x = 20=> x = 20/8=> x = 5/2=> 5(5/2) + y = 11=> 25/2 + y = 11=> 12.5 + y = 11=> y = 11 - 12.5=> y = -1.5Therefore, the answers are:
x = 5/2y = -1.5Hoped this helped.
[tex]BrainaicUser1357[/tex]
This is a special array.
1,2,2,5,2,2,9,0,...
what is next number?
Answer:
2
Step-by-step explanation:
the first number is one .then you write number two twice . The next number is the summation of the three previous numbers .then you write number two twice and the next number is the summation of the three previous numbers .and you do that regularly
Lamar is solving the equation x2−12x=−6 by completing the square. Which shows Lamar's next step and the solution to the equation?
Step 1: x^2 - 12x = -6
Step 2: x^2 - 12x + 36= -6 + 36
Prove that
sin 75-sin 15=cos 105+cos 15
Answer:
Step-by-step explanation
RHS = cos 105° + cos 15°
= cos (90° + 15°) + cos (90° – 75°)
= – sin 15° + sin 75°
= sin 75° – sin 15°
= LHS
Answer:
Step-by-step explanation:
sin75-sin15
=sin (90-15)-(-cos (90+15))
=cos 15+cos 105
The length of a rectangular garden is 30 yards more than the width. The perimeter is 300 yards. Find the length and width
Answer:
60 yards
Step-by-step explanation:
300 = 2(30 + w) + 2(w)
300 = 60 +2w + 2w
300 = 60 + 4w
240 = 4w
60 = w
Factor the expression to fill in the blank. 25 + 45 = ? (5 + 9)
Answer:
25 + 45 = 5 (5 + 9)
Step-by-step explanation:
25 + 45 = ? (5 + 9)
Step 1: 25 ÷ 5 = 5
Step 2: 25 ÷ 9 = 5
? = 5
Which is equivalent to vg*
Og
O 78%
12784
8 4x
Answer:
(c) (12th root of 8)^x
Step-by-step explanation:
The applicable rules of exponents are ...
[tex](a^b)^c=a^{bc}\\\\\sqrt[n]{a}=a^{1 \! /n}[/tex]
In this case, we have ...
[tex](\sqrt[3]{8})^{x/4}=8^{1/3\cdot x/4}=8^{x/12}=\boxed{\left(\!\sqrt[12]{8}\right)^x}[/tex]
1. If you roll two fair dice, what is the probability that the sum of both rolls is 8?
Answer:
1/4
Step-by-step explanation:
Sample space = 12
Prob of sum = 8 is:
[2,6], [3,5]. [4,4]
That is 3/12 = 1/4
solve for w: 35=0.35 x w
Answer:
w=100
Step-by-step explanation:
Every time you multiply a decimal by 20 the dot goes one place to the right Example: 0.35 x 10= 3.5 or 0.35 x 100= 35
Help help help help hep
Answer:
Yes
Step-by-step explanation:
Ashley completes 3 homework assignments in 50 minutes. At this rate, how many minutes will it take her to complete 9 homework assignments?
Answer:
144
Step-by-step explanation:
divide 50 by 3 and then multiply by 9