Step-by-step explanation:
x⁴ + 4x³ - 5x² + x - 3 ÷ x² + x - 3 = x² + 3x - 5
- x⁴ + x³ - 3x²
-------------------------
0 3x³ - 2x² + x - 3
- 3x³ + 3x² - 9x
-------------------------------
0 - 5x² + 10x - 3
- - 5x² - 5x + 15
-------------------------------------
0 15x - 18
the result is therefore
x² + 3x - 5 + (15x - 18)/(x² + x - 3)
Please answer these questions.(please include work/explanation)(1)
Answer:
Hi there!
I will help you answering the questions, if you do not understand what I'm working about, you can ask me on comment section.
Number 1First of all, we need to multiple the separated function.
[tex] \sf2(3x + 4)(x - 1)(x - 3) \\ = \sf(6x + 8)(x - 1)(x - 3) \\ \tt multiple \: the \: first \: equation \\ \tt(6x + 8) \: with \: (x - 1) \\ \sf = (6x \times x + 6x \times - 1 + 8 \times x + 8 \times - 1)(x - 3) \\ = \sf({6x}^{2} + 2x - 8)(x - 3) \\ \tt then \: multiple \: the \: last \: one \\ \tt (6 {x}^{2} + 2x - 8) \: with \: (x - 3) \\ \sf = \boxed{ \bold{ \red{ {6x}^{3} - 16x {}^{2} - 14x + 24}}}[/tex]
So the right answer is A
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Number 2the graph has four zeros at :
-4-2/309After that we make them equal with 0, here is the thing:
x = -a is equal with x + a = 0
So we can conclude that :
-4 → x + 4 = 0-2/3 → 3x + 2 = 00 → x = 09 → x - 9 = 0Then we substitute them to a function :
x(x + 4)(3x + 2)(x - 9) = 0
3x⁴ - 13x³ - 118x² - 72x = 0
Then we looking on the option which one is equal with the answer above.
The right answer is B
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Hope It Helps!
can anyone help me pls ??
Answer:
A
Step-by-step explanation:
Volume of a cylinder= πr² *height.height=volume÷πr²height=250÷π(which in this case we are using 3.14)3²height=8.85=APlease help :)
Chloe is an acrobat in a local circus. Her job is to move across a tightrope from point A to point B while blindfolded! She can only move using the distances that you tell her to move in your instructions. Chloe may go past the ladder. However, if she does, make sure she turns around and goes back toward the ladder.
Use the link: Link
Your Task: Work with your partner to find different combinations of the lengths given in parts (a) through (d) below that will allow Chloe to move from point A and end at point B (the end of the tightrope). You may use each length as many times as you like. .
1. For each crossing, look for at least three different ways to get the acrobat across. *Draw a diagram on your paper that shows the solution with the least amount of steps. *For the neither 2 write a number sentence/equation.
Explanation:
We'll let you draw the diagram. Here are some possible equations. We have listed the shortest sequence first.
(a) 24 = (10 + 10 + 4) = (8 + 8 + 8) = (10 + 8 + 4 + 2)
(b) 17 = (10 + 3 + 2 + 2) = (10 + 3 + 3 + 3 - 2) = (3 + 3 + 3 + 3 + 3 + 2)
(c) 15 = (11 + 4) = (6 + 6 + 3) = (4 + 4 + 4 + 3)
(d) 27 = (19 + 8) = (19 + 12 - 4) = (19 + 12 + 4 - 8)
PLEASE HELP ME
Solve 2x^2-x>15
Show your work
Answer:
x < -5/2 or 3 < x
Step-by-step explanation:
Subtracting 15 puts the relation into a more standard form:
2x^2 -x -15 > 0
(2x +5)(x -3) > 0 . . . . . factor
The zeros of these factors are x = -5/2 and x = 3.
For values of x between those values (-5/2 ≤ x ≤ 3), the product of these factors will be negative or zero. In order for the product to be positive, x must not be in that range.
The solution is ...
x < -5/2 or 3 < x
_____
Additional comment
Several methods are taught for factoring a quadratic expression. One of my favorite is using a graphing calculator to find the zeros. If p is a zero, then (x-p) is a factor.
Another way to approach the factoring of ax^2 +bx +c is to find factor pairs of the product (ac) that have a total of b. Here, that means finding factors of 2(-15) = -30 that have a sum of -1. Consider ...
-30 = (1)(-30) = 2(-15) = 3(-10) = 5(-6)
The sums of these pairs are -29, -13, -7, -1. With the values 5 and -6, you can rewrite the quadratic expression as 2x^2 +5x -6x -15. This can be factored by grouping pairs of terms:
x(2x +5) -3(2x +5)
(2x +5)(x -3) . . . . . . . the factorization we show above.
__
You can see on the graph that the quadratic is greater than 0 when x < -2.5 or x > 3.
Plz, Help Me Quickly!!!
What is the equation of a horizontal ellipse with a major axis = 12 and a minor axis = 10?
The equation of the horizontal ellipse is [tex]\frac{x^2}{144}+\frac{y^2}{100}=1[/tex]
Ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.
The standard form of an ellipse with horizontal major axis is:
[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]
Where a > b
since a = 12, b = 10, hence:
[tex]\frac{x^2}{12^2}+\frac{y^2}{10^2}=1\\\\\frac{x^2}{144}+\frac{y^2}{100}=1[/tex]
The equation of the horizontal ellipse is [tex]\frac{x^2}{144}+\frac{y^2}{100}=1[/tex]
Find out more on ellipse at: https://brainly.com/question/19507943
The exchange rate at the post office is £1 = €1.17. How many euros do I get for £280?
Answer:
327.21 euros.
Step-by-step explanation:
which inequality is a true statement select each correct answer
Answer:
A. False
B. True
C. False
D. False
E. True
Hope This Helps!!!
Find the domain and range of the function represented by the graph . What’s the domain an range
What is the range of the given function?
Answer:
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. .The range is the resulting y-values we get after substituting all the possible x-values.
Step-by-step explanation:
Rearrange the equation so w is the independent variable. u-5=-4(w-1)u−5=−4(w−1)
w =
Answer:
u=−4w+9
Step-by-step explanation:
u−5=−4(w−1)
u=−4(w−1)+5
u=−4w+4+5
u=−4w+9
If 60% of a KNOWN NUMBER is 180, what is the 40% of that UNKNOWN NUMBER?
Step-by-step explanation:
I think you mean you want to find out 40% of a number,, when 60% of it is 180, so I'll answer that:
60% = 180
÷6
10% = 30
x4
40% = 120
(if you want to find 100%, multiply 30 by 10)
Hopefully this helps :)
PLEASE HELP I"LL GIVE BRAINLEAST
Rico paid $180 sales tax on his new $2,400 motorcycle. What was the sales tax percentage rate where he bought his motorcycle?
7.0% tax rate
7.5% tax rate
8% tax rate
6.5% tax rate
Answer:
7.5 % Tax rate
Step-by-step explanation:
I used used the calculator to figure out the rate
$2,400 X 7.5%= 180
A marquee with the dimensions as shown is
made from canvas. The marquee has no floor.
Find the total cost of the canvas if it costs
$31.50 per square metre.
Answer:
$63.00
$31.50×2=$63.00
Olivia needs at least $625 to pay for a used road bike that she wants. She has $185 saved so
earn $60 per week doing odd jobs for her next-door neighbor. What is the minimum number
will need to work for her neighbor in order to purchase the bike?
Answer:
I think probably at least 8 weeks.
If one of you guys wouldn’t mind helping me do this question it would really speed up the process I have like 10 minutes now
Answer:
13. 70(two digits 7 times 10 which is a multiple of 5)
Hope This Helps!!!
A plant food company recommends mixing a teaspoon of food with every gallon of water and only adding a
teaspoon when the water level goes above the next whole gallon
Which graph models the number of teaspoons of food depending on the amount of water?
Answer:
The answer is A. Edge 2022. Hope this helps
Step-by-step explanation:
The next closest one would've been C. But they asked for the teaspoons based on the amount of water not over a constant period of time. So A is right.
Answer:
A
Step-by-step explanation:
benny uses 2/5 grams (G) of toothpaste each time he brushes his teeth. If benny buys 30-g tube, how many times will be able to brush his teeth?
Answer:
75
Step-by-step explanation:
First divide 2/5 to get 0.4. Then divide 30 by 0.4 to get the answer. A simple way to think about it is how many 0.4 grams are in 30 gram tube.
What is the largest power of 2 that is a divisor of 13^4 - 11^4?
Answer:
[tex]2^5[/tex]
Step-by-step explanation:
Given:
[tex](13^4 - 11^4)(13^2+11^2)[/tex]
add all together with exponents
=48*290
= Then turn into a smaller exponent
= [tex]2^4 * 3 * 2*145[/tex]
combine like terms
[tex]2^4 *2[/tex]
=[tex]2^5[/tex]
Answer:
5
Step by step explanation :
13^4-11/4=13920
2^5=32
13920÷32=435
Therefore largest power = 5
Please mark me as the brainliest answer
Thank you ☺
Which three points are collinear?
according to defination of collinear points :Three or more points are said to be collinear if they all lie on the same straight line.
therefore, A,B,C points are collinear.
antonio baked 150 muffins 46% are blueberry how many blueberry muffins did he bake
Answer:
69
Step-by-step explanation:
150*(0.46) = 69 blueberry muffins
Erin tried to multiply 70 x 30 by decomposing 70 and 30 into multiples of 10. Her work is below.
A-Step 1
B-Step2
C-Step3
D-Step4
E-Erin did not make a mistakes.
4200 in the scientific notation.
Answer:
4.2*10^3
Hope This Helps!!!
Answer:
The answer is 4.2×10^3
Step-by-step explanation:
To convert 4200 into scientific notation, follow these steps:
- Move the decimal 3 times to left in the number so that the resulting number, m = 4.2, is greater than or equal to 1 but less than 10
- Since we moved the decimal to the left the exponent n is positive
n = 3
- Write in the scientific notation form, m × 10^n
= 4.2 × 10^3
Therefore, the decimal number 4200 written in scientific notation is 4.2 × 10^3 and it has 2 significant figures.
An account earns 8.4% interest compounded monthly. If 12,000 is invested in the account initially, how much
interest is earned in this account over a 25 year period?
Answer:
$30,2400
Step-by-step explanation:
First, we need to find how much interest he earns in a month
8.4% of $12,000 = $1,008
Next, we multiply the amount of interest per month by the number of months in 25 years
25 years = 300 months
Now we can multiply the two values to get our final answer
1,008 x 300 = $30,2400
1. Which figure comes next in the pattern below?
The figure that comes next in the pattern below is option D.
Option D is the correct answer.
We have,
From the pattern,
The next figure must be a white figure.
Now,
We see that,
The two small figure inside the figure is moving in a clockwise direction.
So,
The next figure in the pattern is option D.
Thus,
The figure that comes next in the pattern below is option D.
Learn more about the pattern here:
https://brainly.com/question/29262072
#SPJ2
Can someone plz help Me?
Answer:
D
Step-by-step explanation:
As the y value doesn't change between the points that means that it would be reflected over the y axis
Jenna has 38 coins. She uses 19 coins to buy a notebook. How many coins does she have left?
Explain how you can solve and check this problem.
Answer: 19 coins
Step-by-step explanation:
38-19=19
To check, take any one of the nubers and replace it with x, and when you solve for x. you'll get that number back. For example:
Let x represent the amount used to buy a notebook
19+x=38
x=38-19
x=19
The original qauntity is 10 and the new quantity is 13. What is the percent change?
A turtle swims 15 kilometers in 9 hours. How far does the turtle swim in 24 hours?
Answer:
about 40 kilometers
Step-by-step explanation:
The expression 3r - 6 can be written as _____. 3(r - 2) 3(r - 6) 3(3r - 6).
Answer:
The expression 3r - 6 can be written as 3(r - 2)
Step-by-step explanation:
We know that 3r-6=3(r-2) because 3*r is the same as 3r and we know that 3*-2 is -6 hence making them equal. And to check it we know that 3r-6 is equal to 3r-6.
Find the degree of the monomial. -20.5
Answer:
0
Step-by-step explanation:
-20.5 is the same as -20.5[tex]x^{0}[/tex], since anything to the zero power is equal to 1.
Answer:
The degree of a monomial is the sum of the exponents of the variables.
Therefore,
The degree of the monomial - 20.5 is 0, because there is no variables only numeric terms.
Step-by-step explanation:
To find the degree of monomial.
Basically,
- If one term is present, then it is monomial.
- If two term is present, then it is binomial.
- If three term is present, then it is trinomial.
- If more than three term is present, then it is polynomial.