Answer:
[tex]2x^3+ 3x^2-5x-6 = (x+2)(x+1)(2x+3)[/tex]
Step-by-step explanation:
Given polynomial [tex]g[/tex]:
[tex]g(x) = 2x^3+ 3x^2-5x-6[/tex]
A factor of polynomial is [tex](x+2)[/tex].
To find:
Equation of the polynomial as the product of linear factors.
Solution:
First of all, let us divide the polynomial [tex]g[/tex] with [tex](x+2)[/tex] to find the other factors.
As degree of polynomial is 3, when divided by a linear equation, it will result in a quadratic.
That quadratic will have 2 solutions.
Solving the quadratic in linear will give us the answer.
Result of division:
[tex]\dfrac{2x^3+ 3x^2-5x-6}{x+2} =2x^2-x-3[/tex]
Now, solving the quadratic:
[tex]2x^2-x-3 = 2x^2-3x+2x-3 \\\Rightarrow x(2x-3)+1(2x-3)\\\Rightarrow (x+1)(2x-3)[/tex]
So, the linear equation can be written as:
[tex]2x^3+ 3x^2-5x-6 = (x+2)(x+1)(2x+3)[/tex]
can someone help me please
Answer:
6 (x)
Step-by-step explanation:
The probability of an outcome that lies within 68% of the mean is a good indicator that it lies in which standard deviation?
A. There is a probability that the outcome is within 1 standard deviation of the mean.
B. There is a probability that the outcome is within 3 standard deviations of the mean.
C. There is a probability that the outcome is within 2 standard deviations of the mean.
D. Standard deviations are not reliable, so the probability cannot be determined.
Answer:
The correct answer is B or option 2.
PLS ANSWER NO MESSING AROUND PLSSSSSS TWO PEOPLE ALREADY FAKED IT
Answer:
Step-by-step explanation:
1). 3
2). $23.63
3). 18.1 seconds
Here is the other question
Part A and B are done
A. Lesson
1. Describe the formula for slope in words and with an equation.
M=y^2-y^1/x^2-x^1
1. What is the slope of all horizontal lines? What is the slope of all vertical lines?
The slope of all horizontal lines is 0. The slope of all vertical lines is undefined.
B. Lesson Content
3. Copy and paste the 3-step procedure for finding the slope using the formula.
4. Use Example 3 as your model for the following: In the 2000 census, the population was 8000; in the 2010 census, the population was 7500. Find the rate of growth for the town. Show the 3-step procedure, as well as the final answer in words.
A(200(x1), 8000(y1)) and B(2010(x2), 7500(y2))
M=(y2-y1)(x1-x2)=7500-8000/2010-2000
M=-50=50 people per year decrease
C. Write the slope-intercept (y = mx + b) form of the equation from the information given. Show your steps as done in the lesson content to earn credit.
Answer:
Step-by-step explanation:
Slope is m
in this case slope is -50
b is the y-int,
in this case the y-int is 8000
so your equation: y = -50x + 8000
A line has the equation y = 1/3x - 5 . Find the equation of a parallel line passing through the point (3, 2).
Answer: y=1/3x+1
Y needs to be changed in order to maintain parallelism.
Good Luck!
Answer:
The answer is y=1/3x+1
Step-by-step explanation:
y=mx+b
m=1/3
y-y=m(x-x1)
y-2=1/3(x-3)
y-2= 1/3x-1
+2 +2
y=1/3x+1
0.7,7/9,7/8 order least to greatest
300x7065
A tough one can you solve it without looking the answer up or not cheating in any way
PLEASE HELP ME LIKE IM GOING TO CRY ILL give you brainliest if the answer is correct and 20/40 points..............Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?
Answer:
Answer are at the bottom!
Step-by-step explanation:
First equation: y=5x
Second equation: y=5.5x
Unit rate:
x/5.5
5.5/5.5
x/1
Hope this helps!
______ terms are also expressions. (please fill in the blank)
A. No
B. All
C. Some
Answer: The answer is some
I know this because I go to Harvard
Answer:
The answer is some
Paul drank 18.2 ounces of water per day during soccer practice for a total of 54.6 ounces of water. Ryan drank 20.4 ounces of water each day after football practice for a total of 81.6 ounces of water. How many more days of practice did Ryan have than Paul?
A.
They both had the same number of days.
B.
1 day
C.
2 days
D.
3 days
Answer:
B
Step-by-step explanation:
Paul: 54.6/18.2= 3 days
Ryan: 81.6/20.4= 4 days
Answer:
B. 1 day
Step-by-step explanation:
First, we need to find how many days each person practiced for:
Paul- 54.6 ÷ 18.2 = 3
Ryan- 81.6 ÷ 20.4 = 4
4 - 3 = 1, so B is the answer.
I hope this helped, please mark Brainliest, thank you!
What is the solution to this system of equations?
x+y= 6
x=y+4
Answer:
5,1
Step-by-step explanation:
mark brain if right
How would you graph the solution to 3x ≤ -15?
Answer:
I would put a shade over the region of x <= -5.
Step-by-step explanation:
The look of the graph would be a shaded rectangle over the line x = -5.
Hope this helped!
Answer:
Draw a closed circle on -5 and shade to the left
Step-by-step explanation:
The x-axis is the ? Axis
The y-axis is the ? Axis
Another name for the point 0,0 is the ?
Answer:
The x-axis is the HORIZONTAL axis (left to right)
The y-axis the VERTICAL axis ( up and down)
Another name for the point (0 , 0) is the ORIGIN
What is the slope of the line through (3,7) and (-1,4)
Answer:
[tex]m=\frac{3}{4}[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, 7)
Point (-1, 4)
Step 2: Solve for slope m
Substitute: [tex]m=\frac{4-7}{-1-3}[/tex]Subtract: [tex]m=\frac{-3}{-4}[/tex]Simplify: [tex]m=\frac{3}{4}[/tex]Answer:
4/3
Step-by-step explanation:
Use the formula rise/run. But first, if you plot this on a graph, (-1,4) will come first because its x value is smaller. So, for this, let's look at (-1,4) first.
To get from -1 to 3, you must rise 4 units. To get from 4 to 7, you must run 3 units.
So, if you put this together, you will get 4/3!
Hope I helped!!!!
Can someone help me???
Can you also help me with this one?
Express your answer in scientific notation. 5.4×10^5 + 6.7×10^4
Answer:
The answer is 6.07 x 10^5
Step-by-step explanation:
Answer:
6.07 x 10^5
Step-by-step explanation:
khan
Find the distance between -12 and 25
Answer:
37
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
You can use absolute value to solve this. l-12l+l25l=12+25=37
Absolute value is the distance from 0.
Plssss help 30 point!!!
A survey of 100 parks showed the following.
37 had camping.
28 had camping and hiking trails.
69 had hiking trails. 33 had hiking trails and biking paths.
58 had biking paths. 15 had hiking trails, biking paths and camping.
22 had camping and biking paths.
Answer:
A) 2
B)109
c) 4
d)71
I'm a hundred percent sure
Step-by-step explanation:
Draw the Venn diagram
Solve the following formula for
x
y=2mx+3b
Answer:
X=2m+3b/y. I th ink that the answer.
Which of the following relations is a function?
OA. (9,-10).(-8, 7), (9,6), (-8, 12)
OB. (-8, 0), (-1,5). (-8, -3), (5,9)
OC. (-1,-2), (-8,-5), (5,8). (5,2)
OD. (-8,2).(-1,3), (5,7), (9,2)
The volume of a right circular cone is 45 cubic centimeters, and the radius of
the base is 3 centimeters. What is the height of the cone in centimeters?
Answer:
5cm
Step-by-step explanation:
Given parameters:
Volume = 45cm³
Radius = 3cm
Unknown:
Height of the cone = ?
Solution:
Volume of cone is given as ;
V = [tex]\frac{1}{3} \pi[/tex] r² h
r is the radius
h is the height
45 = [tex]\frac{1}{3} \pi[/tex]x 3² x h
45 = 3π x h
h = [tex]\frac{45}{3 x3.142}[/tex] = 4.77cm
5cm is the closest answer choice
Is there another way to convert fractions to decimals?
PLEASE ANSWER ASAP!!!
line g has and undefined slope. If line k contains the point (-6,3) and is parallel to line g, what are the x-coordinates of the other points that lie on the line?
Answer:
-6 is the x-coordinate value
Step-by-step explanation:
Mathematically, slope can be calculated as;
m = (y2-y1)/(x2-x1)
For the value of the slope to be undefined, it means that we are actually dividing by zero
For us to be dividing by zero, it actually means that there is no change in the x-value
The unchanging x-value is what has caused us to have an undefined slope value
Since line k and line g are parallel, their slopes are equal and the slope of k is undefined too
So the x-coordinates of the other points that lie on the line that we used in calculating the slope is -6
Giving 100 points if someone can answer this correctly...
x³+y³+z³=42
What is x y and z multiplied by 9.08 * 10³
this question is dumb. you should be able to get it
Answer:
3813.6
Step-by-step explanation:
90.8 x 42 = 3813.6
Give your answer in simplest form.
Answer:
The answer is -1
Step-by-step explanation:
PLEASE MARK BRAINLIEST IT WILL HELP SM
And if you are looking for more help go to math-way
what is the square root of 199 lie between
Hi!
I'm assuming the question means what integers, so let's figure it out.
Starting from 12, 12 squared is 144, or the square root of 144 is 12.
13 squared is 169, or the square root of 169 is 13.
14 squared is 196, or the square root of 196 is 14.
15 squared is 225, or the square root of 225 is 15.
Based on that list of numbers, we can determine that the square root of 199 lies between the square root of 196 and the square root of 225 -- aka 14 and 15.
Topic: Integrals
Subject: Calculus
If anyone could help I’d appreciate! I will certainly award points and give brainliest answer ASAP!! I promise :)
9514 1404 393
Answer:
11 7/16
Step-by-step explanation:
The integration resolves into finding the area of two triangles. The left has a height of (-3/8(-2/3)+2) = 2 1/4, and a width of (16/3-(-2/3)) = 6. Then its area is ...
A = (1/2)bh = (1/2)(6)(2 1/4) = 6 3/4
__
The right triangle has a height of |(-3/8)(31/3) +2| = |-31/8+16/8| = 15/8. Its width is (31/3) -(16/3) = 5, so its area is ...
A = (1/2)(5)(15/8) = 75/16 = 4 11/16
Then the total area, the value of the integral, is ...
6 3/4 +4 11/16 = 10 23/16 = 11 7/16 . . . the value of the integral
Suppose 15% of x equals 20% of y. What percentage of x is y ?
Answer:
x = [tex]133\frac{1}{3}[/tex] of y
Step-by-step explanation:
Given:
15% of x equals 20% of y
So,
0.15x = 0.20y
so
x = 0.20 y / 0.15
x = 1.3333y
x = [tex]133\frac{1}{3}[/tex] of y
Answer:
Step-by-step explanation:
A car with a mass of 500 kg is accelerating at 10 m/s². What is the force being applied the car’s engine?
Answer:
M=500kg
a=10m/s^2
By formular:
F=ma
F=500*10
F=5000N