Answer: x = {-1, -3, 2}
Step-by-step explanation:
x³ + 2x² - 5x - 6 = 0
Use the rational root theorem to find the possible roots: ±1, ±2, ±3, ±6
Use Long division, Synthetic division, or plug them into the equation to see which root(s) work (result in a remainder of zero).
I will use Synthetic division. Let's try x = 1
1 | 1 2 -5 -6
| ↓ 1 3 -2
1 3 -2 -8 ← remainder ≠ 0 so x = 1 is NOT a root
Let's try x = -1
- 1 | 1 2 -5 -6
| ↓ -1 -1 6
1 1 -6 0 ← remainder = 0 so x = -1 is a root!
The coefficients of the reduced polynomial are: 1, 1, -6 --> x² + x - 6
Factor: x² + x - 6
(x + 3)(x - 2)
Set those factors equal to zero to solve for x:
x + 3 = 0 --> x = -3
x - 2 = 0 --> x = 2
Using Synthetic Division and Factoring the reduced polynomial, we found
x = -1, -3, and 2
Introduction to interval notation
What is the domain and range?
Answer:
1,7
Step-by-step explanation:
you go up one and over seven and i'll be on the other point
is 1 (b+6) equivalent to (b+6)
Answer:
Yes.
Step-by-step explanation:
Step 1: Write out expressions
1(b + 6) = b + 6
Step 2: Distribute 1
b + 6 = b + 6
Find the midpoint of the line segment with the given endpoints (-4,4) (5,-1)
Answer:
(1/2), (3/2)
Step-by-step explanation:
midpoint fomula
(x1+x2)/ 2, (y1+y2)/2
(5-4)= 1 1/2 = (1/2)
(-1+4)=3 3/2=(3/2)
A : (x₁ , y₁) = (-4 , 4)
B : (x₂ , y₂) = (5 , -1)
Formula of [tex]\tt{midpoint}[/tex] is given by
◈ (x , y) = (x₂ + x₁)/2 , (y₂ + y₁)/2
_________________________________
⇒ (x , y) = (x₂ + x₁)/2 , (y₂ + y₁)/2
⇒ (x , y) = [5+(-4)]/2 , [-1+4]/2
⇒ (x , y) = 1/2 , 3/2
⇒ (x , y) = (0.5 , 1.5)Water cost $1.25 per bottle. At this rate, what is that cost of 50 bottles?
Answer:
$62.5 is the answer
Step-by-step explanation:
gimme brainly pls :3
Answer:
50 × $ 1.25
mutiply it you will get your answer.
I need to find the area below!
HELP!
Sarah is completing a tax form. The tax is 15.8% of $43.000. How much tax does Sarah have to pay?
Hey there! I'm happy to help!
To write a percentage as a decimal, you move the decimal place to the left two digits, so 15.8% as a decimal is 0.158.
To find the percentage of a certain number, you multiply it this percent by the certain number.
0.158×43000=6794
So, Sarah will have to pay $6,794.
Have a wonderful day! :D
Question 7 of 10
Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
5x + 3y = 31
2x + 3y = 25
O A. (5,2)
O B. (5,3)
O C. (2,7)
OD. (2,3)
Answer:
The answer is (2,7)
Step-by-step explanation:
[(2+5)2]3
————-
(3+4)4
Solve equation 17=r+10
Answer:
unless I am mistaken r=7
Step-by-step explanation:
you subtract 10 from each side and boom done
Evaluate 5^-4. Write your answer as a fraction in simplest form
Answer:
exact form = 1/625
decimal form = 0.0016
The expression written as a fraction in simplest form is [tex]\frac{1}{625}[/tex]
From the question,
We are to evaluate 5^-4.
First, we will write the expression properly.
The given expression is 5⁻⁴
Now, we will write the expression as a fraction
From one of the laws of indices, we have that
[tex]a^{-x} =\frac{1}{a^{x} }[/tex]
Therefore,
[tex]5^{-4} =\frac{1}{5^{4} }[/tex]
In simplest form
[tex]\frac{1}{5^{4} } = \frac{1}{625}[/tex]
Hence, the expression written as a fraction in simplest form is [tex]\frac{1}{625}[/tex]
Learn more on simplifying expressions here: https://brainly.com/question/12985890
Integers are ________ whole numbers. braineist for first person to get it right and hurry im on a time limit 20 points for it also
sometimes whole numbers
Step-by-step explanation:
maybe
WILL GIVE BRAINLIEST!!Deepak is a landscaper who charges $30 for each job he does plus an additional $15 for each hour he works. He only accepts jobs if he will earn at least $90 the job. He writes this inequality to determine x, the number of hours he must work during each job in order to accomplish this.
30 + 15 x greater-than-or-equal-to 90
Which best describes the restrictions on the jobs Deepak will accept?
He only accepts jobs that last 4 or more hours.
He only accepts jobs that last 5 or more hours.
He only accepts jobs that last 8 or more hours.
He only accepts jobs that last 9 or more hours.
Answer:
He only accepts jobs that last 4 hours or more.
Step-by-step explanation:The number of hours is x and so when you plug in 4 hours into the equation. 30+15 (4) it equals exactly 90
What is the product of 45 times 32
Answer:
Your answer would be 1440
Step-by-step explanation:
Answer:
1440
Step-by-step explanation:
45 times 32 gives you the product of 1440
How many quarters are in $20
Randell's favorite brand of cookies is on sale at a price of $1.79 for a 12 ounces package. what is the cost per ounce (unit rate) for these cookies?
Answer:
$0.1492
Step-by-step explanation:
Evaluate (-5z)^3 . Write your answer using only positive exponents. Evaluate any numerical powers.
Answer:
-125z³
Step-by-step explanation:
-5 times - 5 = 25 canceling negative
125 times -5 = -125
zXzXz = z to power of 3 =z³
m. MRO = 127° m. MRP = 87º and m. NRQ = 83
Find m NRP
Answer:
don't know answer what is answee
I need help on. this question. (3x^6)^3 the answer must have one exponent
Answer:
[tex]27x^{18}[/tex]
Step-by-step explanation:
[tex]\left(3x^6\right)^3[/tex]
Separate [tex]3x^6[/tex]:
[tex]3^3\times\left(x^6\right)^3[/tex]
[tex]27\times\left(x^6\right)^3[/tex]
[tex]27x^{6\times3}[/tex]
[tex]27x^{18}[/tex]
Solve the equation x-3=23
X=
Answer:
26
Step-by-step explanation:
26 - 3 = 23
hope this helps
Answer:
x = 26
Step-by-step explanation:
x-3=23
Add 3 to each side
x-3+3=23+3
x = 26
The bill at a restaurant was $52.45. You want to leave an 18% tip. What is the
dollar amount of the tip that you will leave? (Enter your answer in the from x.xx or
$x.xx)
Answer:
$9.44
Step-by-step explanation:
51.45 x 0.18 = $9.44
You earn $15 an hour tutoring and $9 an hour working at the Sippy Drink. You can tutor a maximum of 10 hours a week. You have to put in at least 20 hours a week at the Sippy Drink to keep your job there. You can't work more than 40 hours a week. Create and graph a system of inequalities that represents the constraints
Answer:
how is the maximum 10 hrs but you need to put in 20hrs
-i+5=t-19 please help!!
Answer: t=24−i
Step-by-step explanation:
-100x5 + 90?????????????????????????
Answer:
-410
Step-by-step explanation:
:)
Answer:-410
Step-by-step explanation:
4|m-n| if m= -7 and n=2
what value of x makes this equation true X over 3 = 24
Answer:
x=72
Step-by-step explanation:
Start with [tex]\frac{x}{3}[/tex]=24
Using the multiplication property of equality, multiply each side by 3
x=72
Find the measurement
Answer:
RS = 2.4 cm
Step-by-step explanation:
given:
ST = 1.6cm
RT = 4 cm
RS + ST = RT
plugin values into the equation:
RS + 1.6 = 4
RS = 4 - 1.6
RS = 2.4 cm
Which of the following relations is a function?
OA. (-7, 1), (0, -5), (1,5), (5, 1)
OB. (-7, 4), (0, 6), (-7, 3), (5,2)
C. (1, 1), (0, 4), (-7, 1), (1,-5)
OD. (-7,1), (0,4), (1,-5), (0, 6) ting
Answer:
A
Step-by-step explanation:
It would be "a" because the x points are all different, as seen on the others they all have at least one similar x.
Can someone do this for me? I will give brainliest!
Answer:look it up on quizlet
Step-by-step explanation:
Before going to bed, Maria's
temperature was 103,2º. Her fever
broke in the night so that her
moming temperature was 3.7
degrees lower. What was Mana's
temperature the next morning?
Answer:
Her temperature was 99.5°
Step-by-step explanation:
103.2 - 3.7 = 99.5
please help me guys im lost
Answer:
D. BC ≅ EF
Step-by-step explanation:
ASA means you're trying to show congruence by showing two angles A..A and the segment between them ..S.. are congruent. The figure shows two congruent angles. What remains is to show the segments between are congruent.
__
In ∆ABC, the marked angles are B and C, so the segment between them is BC.
In ∆DEF, the marked angles are E and F, so the segment between them is EF.
These are the segments that need to be shown congruent if you're using ASA.
BC ≅ EF