Answer:
[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]
Step-by-step explanation:
Given that polynomial:
[tex]p(x)=x^3-7x-6[/tex]
Known factor: [tex](x+1)[/tex]
To find:
Equation of the polynomial as the product of linear factors.
Solution:
The degree of polynomial is 3, and when we divide it by a linear equation, the result will be a quadratic. That quadratic will have 2 solutions.
We can solve the quadratic in two linear factors and as a result we will have the answer.
First of all, we need to divide the polynomial [tex]p(x)[/tex] with the given factor [tex](x+1)[/tex] to find the other factors.
[tex]\dfrac{x^3-7x-6}{x+1} = x^2-x-6[/tex]
Solving the quadratic:
[tex]x^2-x-6 = x^2-3x+2x-6\\\Rightarrow x(x-3)+2(x-3)\\\Rightarrow (x+2)(x-3)[/tex]
So, the answer is:
[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]
Answer:
(x+1)(x+2)(x-3)
Step-by-step explanation:
2. Michael bought a sandwich that cost $4.69, a bag of chips that cost $1.99
and an iced tea for $2.50. How much did he spend in all? *
A. 7.19
B. 4.49
C. 6.68
D. 9.18
Answer:
9.18
Step-by-step explanation:
4.69
1.99
+2.50
9.18
2 part question!
122.53 rounded to the nearest whole number.
18.59 rounded to the nearest whole number.
Answer:
1.) 123 2.) 19
Step-by-step explanation:
Both of these numbers would round up since 5+ makes the number before itself add 1.
ROUNDING
=================================================================
There are two rules for rounding:
1. If the number you're rounding is followed by a digit from 0 to 4 drop it
2. If it's followed by a digit from 5 to 9 add 1
Let's see them in action!
1: 122.53 ==> 122.5 ==>123
2: 18.59 ==> 18.6 ==> 19
Learn more;work harder
#Carryonlearning
==============================================================
−5x+13y=−7
5x+4y=24
x=
y=
Answer:
Using eliminating method then adding equation 1 and 2 give
X= 4and y =1
10 is 32% of what number?
a. ; 32
b. ; 31.25
c. ; 3.2
d. ; 312.5
ANSWER:
31.25
STEP-BY-EXPLANATION:
you take 32 percent of a number and get 10, then what is that number?
you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.
you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.To solve this problem you multiply 10 by 100 and then divide the total by 32 as follows:
you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.To solve this problem you multiply 10 by 100 and then divide the total by 32 as follows:(10 x 100) / 32
you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.To solve this problem you multiply 10 by 100 and then divide the total by 32 as follows:(10 x 100) / 32When we put that into our calculator, we get the following answer:
you take 32 percent of a number and get 10, then what is that number?In other words, you know that 32 percent of a number is 10 and you want to know what that initial number is.To solve this problem you multiply 10 by 100 and then divide the total by 32 as follows:(10 x 100) / 32When we put that into our calculator, we get the following answer:31.25
GAVE ME THE BRAINLIEST IF MY ANSWER WAS HELPFUL...
Answer:
b. 31.25
Step-by-step explanation:
[tex]\frac{10}{y} :\frac{32}{100}[/tex]
y × 32 = 10 × 100
32y = 1000
32y ÷ 32 = 1000 ÷ 32
y = 31.25
simplify:
3х + 5y-x+ 2y
&
3g + 5h +4g - 2h
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]3x + 5y - x + 2y = [/tex]
[tex]3x - x + 5y + 2y = [/tex]
[tex](3 - 1)x + (5 + 2)y = [/tex]
[tex]2x + 7y[/tex]
_________________________________
[tex]3g + 5h + 4g - 2h = [/tex]
[tex]3g + 4g + 5h - 2h = [/tex]
[tex](3 + 4)g + (5 - 2)h = [/tex]
[tex]7g + 3h[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Help me with this one
Answer:
SSS
Step-by-step explanation:
We can see that 2 sides are equal already, and because they share a side, that side is also equal. So, side side side.
Plzzz help I will mark brainliestttt
Answer:
Not a function
Step-by-step explanation:
For every input there is one and only one output. So on this graph, it shows that there are two dots on a single vertical line, which means that there are two outputs. Because the definition of a function is "for every input there is one and only one output" we know that it is not a function.
A store is selling 6 for $45 if you have $75 how many can you buy?
slope if (5,6) and (-7,5)
hi
you have twi points A ( X;Y) and B ( X ; Y)
slope is : ( Yb -Ya) / (Xb -Xa )
so : ( 5-6 ) /( -7- 5) = -1 /-12 = 1/12
Kara and her friends have $17 to spend at a pizza parlor.they would like to buy large pizza which costs $12 and then add as many toppings as possible if each topping (t) cost 50cents,which inequality describes the maximum number of toppings that the group can purchase?
Answer:
10
Step-by-step explanation:
(12 + x0.5) <= 17
Is there another way to convert fractions to decimals (explanation pls ❤️)
Answer:
The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction) by using a calculator. The resulting answer will be the value of the fraction expressed as a decimal number.
Step-by-step explanation:
Answer: The simplest method is to use a calculator.
Just divide the top of the fraction by the bottom, and read off the answer. Hope this helps! If not, I’ll come up with another explanation! :)
After traveling for 4 hours and 1800 miles, an airplane begins a steady descent. When it begins descending, its altitude (height) is 33,000 feet. After 8 minutes, it is at 17,000 feet. Answer the questions to write a function that models the plane's altitude.
Answer:
S=33000-2000tStep-by-step explanation:
Step one:
Let A be the altitude of the plane
Hence we can define a function that represents this scenario.
the rate at which the plane's altitude decreases is
=33000-17000/8
= 16000/8
=2000
The rate of decrease is 2000 ft per minute.
Thus for anytime "t" the expression for the altitude is
S=33000-2000t-------where t is the time in minute.
say we want to find altitude after 12 minutes
then t=12
substitute in the expression we have
S=33000-2000(12)
S=33000-24000
S=9000ft
Answer:
Part 1) Descending Rate = -2,000 ft/min
Part 2) Starting altitude value is 33,000 ft
Part 3) The linear equation for the plane's altitude (y) as a function of time (x) is:
Part 4) The information not used for the equation is that the plane was travelling for 4 hours to cover 1800 miles before starting the descent
Step-by-step explanation:
Part 1)
The rate at which the airplane descends is given by the difference between final and initial altitude (17,000 ft-33,000 ft) divided the elapsed time (8 minutes):
Part 2)
When graphing the descent (that is the plane's altitude as a function of time), the starting value for the altitude should be 33,000 ft
Part 3)
We can build the equation of the plane's altitude as a function of time in slope y-intercept form y = m x + b
by noticing that the slope "m" stands for the rate of descent that we found in part 1), and then using the information that at time zero (when the plane starts its descent), its altitude is 33000 ft:
with this information about the intercept "b", we can write the final expression for the plane's altitude as a function of time during its descent as:
Part 4)
The information that was not used to write the descent equation was the initial details about how long the plane traveled (4 hours) and for 1800 miles.
Step-by-step explanation:
CORRECT ANSWER GETS BRAINLIEST!
A dealership tracks the correlation between the age of its used cars and asking price for a car. The regression line is y = 12,338 – 930x, where x is the age of the car, in years.
If someone was interested in buying a used car that is about 4 years old, what would be a reasonable price for the car?
$
Answer:
8618 is correct,
give the person above me brainliest.
ED2021
The reasonable price of the car after 4 years will be $8618.
What is regression analysis?Regression analysis is a group of statistical procedures used in statistical modelling to determine the associations between a dependent variable and one or more independent variables.
Given that a dealership tracks the correlation between the age of its used cars and asking price for a car. The regression line is y = 12,338 – 930x, where x is the age of the car, in years.
The price of the car after 4 years will be calculated as follows:-
y = 12338 - 930x
y = 12338 - ( 930 x 4 )
y = 12338 - 3720
y = $8618
Therefore, the reasonable price of the car after 4 years will be $8618.
To know more about regression analysis follow
https://brainly.com/question/7781679
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What is the length of BC in the right triangle below? B 18 A с 80
A. 1512
B. 98
C. 82
D. 3624
E. 6724
F. 14
Answer:
c
Step-by-step explanation:
cc
The length of BC in the right triangle is 82 units
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
From the given triangle the line segment AB is 18 units
AC is 80 units
We have to find BC
By using pythagoras theorem we find the length of segment BC
BC²=AB²+AC²
BC²=18²+80²
BC²=324+6400
=6724
BC=√6724
BC=82
Hence, the length of BC in the right triangle is 82 units
To learn more on trigonometry click:
https://brainly.com/question/25122835
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65.1 acres divided by 3
Answer:
according to me is 87 816.7844 m2
Answer:
21.7
Step-by-step explanation:
65.1 ÷ 3 = 21.7
Hope this helps!
I need help lol....
A number increased by 15 is greater than 124. find the smallest integer that satisfies the inequality,
Answer:
This description translated into an inequality is
x + 15 > 124
x > 109
X is greater than 109
This means that the smallest integer that satisfies this inequality is 110 because X cannot be 109 or less; it is greater than 109.
We did not say 109.1 or 109.2 or 109.99 because it is asking for an integer, which cannot be a decimal.
Answer is 110
Evaluate 7y - 3y for y=3
7 . 3 - 3 . 3
= 21 - 9
= 12
Just substitute you y = 3 into the equation
Answer:
The correct answer is 12.
Step-by-step explanation:
To solve this problem, we must plug in 3 for each occurrence of y in the expression because we are given that y = 3. In this case, we will get the following:
7y - 3y
7(3) - 3(3)
To evaluate, we must simplify this expression. Due to the order of operations, we should compute the multiplication first. 7*3 = 21 and 3*3=9, so we can plug in these values into our expression.
21 - 9
Now, we can perform the subtraction.
21-9=12
Therefore, the correct answer is 12.
Hope this helps!
What is the slope of the line that passes through (−2, −4) and (3, 7) ?
A.9/ 7 B. 11/ 5 C. 3 D. I don't know.
Answer:
11/5
Step-by-step explanation:
-4 - 7 = -11
-2 - 3 = -5
11/5
Answer:
B. 11/5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-2, -4)
Point (3, 7)
Step 2: Find slope m
Substitute: [tex]m=\frac{7+4}{3+2}[/tex]Add: [tex]m=\frac{11}{5}[/tex]GUYS ANSWER THIS QUESTION PLEASE IM LITERALLY TIMED IM BEGGING SOMEONE PLEASE PLEASE
Answer:
bruhhhhh 35 gramsssssssssss
Step-by-step explanation:
its just 175% of 20g
Arrange the decimals from least to greatest. Choose the letter below that shows the order least to greatest.
5.00 0.55 0.005 5.005 5.5
0.55, 0.005, 5.00, 5.5, 5.005
0.005, 0.55, 5.00, 5.005, 5.5
0.005, 5.00, 0.55, 5.005, 5.5
Answer:
ima guess 3
Step-by-step explanation:
Answer:
the 3rd one
Step-by-step explanation:
0.005, 0.55, 5.00, 5.005, 5.5
brainlyest?
Calculate the rise and run to find the slope of each line
Answer:
Step-by-step explanation:10
Answer:
1) slope m=-4
2) slope m=-5/4
3) slope m=1
4) slope m=-2
5) slope m=3/5
6) slope m=5/8
Step-by-step explanation:
Slope equation: m=y2-y1/x2-x1
With our slope equation can get just use the graph and choose two points that the line crosses over.
Question 1 example) I chose points (0,-3) as my x1, y1, and point (1,-1) as my x2, y2. I plugged the numbers into the equation and got -1-3/1-0=-4. Which is why our slope is -4
The rest of the questions follow the same concept of Finding two points, decide which one is your x1, y1 and which one is you x2, y2 (does not matter which one you associate with each point), plug the numbers in, and calculate the slope.
(I may be wrong because the graph is a little blurry)
Hope this helps you
Consider the graph below.
N
1
-3 -2 -1
1
2
3
4
5
3
-4
Which of the following inequalities defines the shaded region of the graph above?
v> 3x
y 2 3x + 1
y 23x - 1
y 21 - 3x
Answer:
C
Step-by-step explanation:
Find the slope of the line that contains the ordered pairs. a. (4, 2) and (7, 6.5) b. (10, 8) and (-5, 8) c. (1, -3/4) and (4, -3) d. (18, -7) and (18, 2)
Answer:
What line? S...... Sss
Solve: -68.1 * 0.8
A) -54.48
B) 68.9
C) 54.48
D) -68.9
Answer:
A) - 54.48
Step-by-step explanation:
Just plug it into the calculator like this; (-68.1) x 0.8, which equals -54.48.
the answer is negative because you multiplied a positive # and a negative #.
There are 40 houses in the neighborhood around CMS that have internet service
1/8of the houses use AT&T.
2/5of the houses use Spectrum.
1/4 of the houses use Frontier.
The rest of the homes do not have internet service.
How many homes in the neighborhood DO NOT have internet service?
31
26
9
16
Answer:
the answer is 44 cecaeuju
What is the constant of proportionality?
Answer:
4 dollars per week
Step-by-step explanation:
You and a friend are paid $38.25 for doing yard work.
You worked 2.5 hours and your friend worked 2 hours.
You split the money according to the amount of time
each of you worked.
How much money did you make in an hour?
If you go shopping and a pair of jeans cost $50.00 but they are on sale for 50% off or 1/2 off what is the price of the jeans
Answer:
$25
Step-by-step explanation:
you just subtract 25 from 50 since 25 is half of 50.
The force f of an object is calculated by multiplying its mass m with acceleration a. Rearrange the formula f = ma to make mass m the subject.