Answer:
absolute value is the same number just positive and cha never be negative.
Help would be much appreciated! :)
Answer:
[tex]\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4} = x^2 + 5x - 4 + \frac{3x - 8}{x^2 + 5x - 4}[/tex]
General Formulas and Concepts:
Algebra I
Terms/Coefficients
ExpandingAlgebra II
Polynomial Division
Long DivisionSynthetic DivisionStep-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4}[/tex]
Step 2: Long Division
See attachment.
Multiply quotient a and divisor, then subtract from dividend: [tex]\displaystyle x^2(x^2 + 5x - 4) = x^4 + 5x^3 - 4x^2 \leftarrow \text{red 1}[/tex]Multiply quotient b and divisor, then subtract from new dividend: [tex]\displaystyle 5x(x^2 + 5x - 4) = 5x^3 + 25x^2 - 20x \leftarrow \text{red 2}[/tex]Multiply quotient c and divisor, then subtract from new dividend: [tex]\displaystyle 4(x^2 + 5x - 4) = 4x^2 + 20x - 16 \leftarrow \text{red 3}[/tex]Write remainder: [tex]\displaystyle \frac{r(x)}{b(x)} = \frac{3x - 8}{x^2 + 5x - 4}[/tex]Please excuse the bad handwriting.
Your family went out to dinner. They spent $60.45 on dinner, 7% tax, and on top of both costs they left an 18% tip. How much total did her family pay for dinner?
Answer:
The answer is $75.56 total for the family payings.
Step-by-step explanation:
First I added the percentages up together which is now 25% you might ask me why I did that well it's because it's asking us the total of the payings in percentages so that's why I did that, next I used percentage calculations which is 25% of 60.45 and got the answer $15.11 which is the tax+ the tip now we just add 60.45 and 15.11 and that's how I got $75.56! Hope I helped if I did please mark brainliest it means a lot to my progression! Thanks <3
How does this image help you understand why the French surrendered to the Prussians?
Answer:
It's hard.
Step-by-step explanation:
Answer:
Step-by-step explanation:
If you look carefully at the diagram, it looks like the French have no way out. The Prussians are on the outside perimeter and can always get supplies into their position. Since they are completely surrounded, the French do not enjoy that luxury.
Furthermore (and I'm guessing here) the Prussians probably outnumbered the French. Now it is possible to get around that problem, but not terribly likely if the numbers are really lopsided.
Diagram 5 shows a triangle ABD such that AD = 17 cm, AB = 10 cm and BD = 21 cm. The straight line AC is perpendicular to the straight line BD and the value of area of triangle ABD is an integer. Calculate the length of AC, in cm. (4 marks)
Answer:
8
Step-by-step explanation:
100 = x^2 + AC^2
17^2 = AC^2 + (21 - x)^2
289 = AC^2 + 21^2 + x^2 - 2*21*x
289 = AC^2 + 441 + x^2 - 42x
from 1st equation AC^2 + x^2 = 100
289 = 441 + 100 - 42x
289 = 541 - 42x
42x = 541 - 289 = 252
x = 252/42 = 6
so AC^2 = 100 - 6^2 = 100 - 36 = 64
AC = 8
I just need answers ;-;
Answer:
1. 5⁴
2. d¹⁰
3. w⁶
1. Susan completed her journey of running in 10 minutes. If she ran 85 miles, how many
minutes did she run in one minute?
Answer:
850 this what I think it is
Step-by-step explanation:
that's what I think I don't know if that's the right answer
Answer:
8.5
Step-by-step explanation:
divide 10 by 10 to get to 1
divide 85 by 10 and u get 8.5
1=8.5
I really need help with this one it's due today!!
Answer:
-2/3
3/2
Step-by-step explanation:
So to have a line parallel the equation is: m1 = m2, meaning the slope (represented by m in this equation) is equal. So in the equation. 3y = - 2x + 4 you need to simplify the equation by dividing both sides by 3. Which would be like so: y = - 2/3x + 4/3, which the slope will be -2/3.
To be perpindicular you need the slope to be: m1 * m2 = - 1. So because we already know that the slope is -2/3, all we need to do is set up an equation: -2/3 * y = - 1
-2/3y = - 1
multiply both sides by 3/-2
y = 3/2
grace was born in 1995. how old will she be in 2027
Answer:
12
Step-by-step explanation:
2007 - 1995
Someone tell me what this is plz
Answer:
This is an equilateral triangle, which means all the sides are equal.
Hence, all three angles are the same.
[tex]3x=\frac{180}{3}[/tex]
[tex]3x=60[/tex]
Therefore,
[tex]x=20[/tex]
Answer:
20
Step-by-step explanation:
3x+3x+60= 180
6x= 180-60
6x= 120
Im confused on this. Michael has some coins in his pocket consisting of dimes, nickels, and pennies. He has two more nickels than dimes, and three times as many pennies as nickels. How many of each kind of coin does he have if the total value is $0.52?
Answer:
Using a system of equations, it is found that he has 2 dimes, 5 nickels and 12 pennies.
In the system of equations, I am going to say that:
x is the number of dimes.
y is the number of nickels.
z is the number of pennies.
---------------------
Two more nickels than dimes, thus:
Three times as many pennies as nickels, thus:
---------------------
A dime is worth $0.1, a nickel is worth $0.05, and a penny is worth $0.01. Total of $0.52, thus:
Solving for x:
---------------------
Solving for y and z:
He has 2 dimes, 5 nickels and 12 pennies.
The graph below represents the path of a squirrel traveling up and down a tree over time.
The position of the squirrel can be calculated using the function p (t) = at? + b + c.
What is the value of a?
What is the value of b?
What is the value of c?
Answer:
a= -1
b= 7
c= 0
Step-by-step explanation:
equation is
y=h(x)(x-7)
let x be 5 and y be 10 to solve for a
10=h(5)(5-7)
10=h(-10)
h=-1
now equation is
y= -x²+7x
so a=-1
b=7
c=0
The value of a is -1, the value of b is 7 and the value of c will be equal to zero.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.
Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the data provided in the question,
y = h(x) × (x-7)
let x be 5 and y be 10 to solve for a
10=h(5) × (5-7)
10 = h(-10)
h = -1
now equation is
y = -x²+7x
So,
a = -1
b = 7
c = 0
To know more about expression:
https://brainly.com/question/14083225
#SPJ2
plss answer it correctly...I need asap
Answer:
sorry I cannot understand that
what is 24x + 4 = 52
Answer:
x=2
Step-by-step explanation:
24x=48, x=2 (subtract 4 from both sides)
Answer:
[tex]\bf 24x+4=52[/tex]
[tex]\bf 24x+4-4=52-4[/tex]
[tex]\bf 24x=48[/tex]
[tex]\bf \cfrac{24x}{24}=\cfrac{48}{24}[/tex]
[tex]\boxed{\bf x=2}[/tex]
⊱ ────── {.⋅ ✯ ⋅.} ────── ⊰
Jack estimates that a piece of wood measures 4.5 cm. If it actually measures 4.72 cm, what is the percent error of Jack’s estimate? (Show all of your work)
Answer:
ion
Step-by-step explanation:srry
Find the exact length of EC.
Answer:
[tex]\sqrt{246}[/tex]
Step-by-step explanation:
The scale factor is [tex]\frac{4\sqrt{138} }{\sqrt{138}}[/tex] = 4
If AB = 6[tex]\sqrt{3}[/tex] then AC = 24[tex]\sqrt{3}[/tex] 4 times longer.
Using a² + b² = c² substitute a = 4[tex]\sqrt{138}[/tex], b = 24[tex]\sqrt{3}[/tex], and c = DC = x
[tex](4\sqrt{138})^2 + (24\sqrt{3} )^2= x^2[/tex]
2208 + 1728 = x²
3936 = x²
[tex]\sqrt{3936} = x[/tex]
4[tex]\sqrt{246[/tex] this is the length of DC
Now the length of EC is 4 times shorter, so EC = [tex]\sqrt{246}[/tex]
Karen saw a laptop for sale in 2004.
In March 2005, the price of this laptop was reduced 20%.
In June 2005, the price of this laptop was reduced by one sixth of the March 2005 price.
Compared with the 2004 price, what percentage discount would Karen obtain by buying this laptop in June 2005?
Answer:
Step-by-step explanation:
Let X be the initial price in March 2004.
Let X' be the price for March 2005.
Let X" be the price for June 2005.
March 2005: The price was reduced by 20%. Thus, X' = 0.8X
June 2005: The price was reduced by 1/6 of the March 2005 price: Thus,
X" = X' - (1/6)X'
Substituting, we have X" = (0.8X) - (1/6)(0.8X)
X" = (0.8X) - (1/6)(0.8X)
X" = (0.8X) - (0.1333X)
X" = 0.6667X
The June 2005 price is 0.6667 of the 2004 price. That's a (1-0.6667) or 33.33% reduction.
For reviewing purposes
Answer:
(25-16)/9=
=9/9=1 because 5^2 is 25 and 3^2 is 9 (5x5)/(3x3)
Show that x^2-8x+20 can be written in the form (x-a)^2+a where a is an integer
Step-by-step explanation:
Let's complete the square
x²-8x=-20
x²-8x+(-4)²=-20+(-4)²
x²+(-4)²=-20+16
(x-4)²=-4
(x-4)²+4
where a is an integer as required
Naomi’s recipe for baked beans calls for 715 cup of kidney beans. Each can of kidney beans holds 145 cups. How many cans of kidney beans will Naomi use to make the recipe?
Answer:
5 Cans
Step-by-step explanation:
Hoped this helped.
Help,
Is the following triangle acute, obtuse, or a right triangle
Answer:
Right-as long as it has one right angle it is a right triangle. It actually can't have more than one right angle.
Step-by-step explanation:
Find the circumference of the
circle. Use 3.14 for it. Do not
round your answer.
C = [ ? ] feet
18 feet
Enter the number that
belongs in the green box.
Hint: C = 2tr
How can coordinate proof be used to show segments are congruent?
Answer:
The coordinate proof is a proof of a geometric theorem which uses ... and/or y -axis until it does.) To Prove: ¯XY is parallel to ¯PR and. XY=12PR. Proof:.
can someone help me with this work problem?
thank you!( ◜‿◝ )♡
adddddddddddddddddddddddddddddddddddddddddddddddddddddd
please help me
the denominator only
Answer:
6/51/33/1013/549/201/15Step-by-step explanation:
You cannot subtract JUST a denominator. The subtraction sign is lower down because of the odd printing just like the equal signs.
1. The first thing you have to do is change this from a mixed fraction into an improper fraction in order to subtract. This becomes:
12/5 -6/5 (This is done by multiplying the large number by the denominator and adding it to the exsisiting numerator)12-6=6 therefore the answer is 6/52. This one requires you to multiply your denominator so that it is the same for both fractions. The least common denominator (LCD) for these fractions is 12
7/12-1/4(3) (Because 3x4 is 12 which is the LCD)7/12-3/12 = 4/12 (this can be simplified)1/33. This is fairly straight-forward the denominators already match so just subtract the numerators
6/10-3/10= 3/104. Because we have a full number we must make it into a fraction in order to subtract it and also turn the mixed fraction into an improper fraction
We'll start with the mixed because we've done that before multiplying 4 by 5. Add to that 20 the 2 from the original fraction to get 22/ 5For the full number use the denominator of the number to determine the fraction. Multiply the full number by the denominator (5) to get 35 and place a 5 underneath and call it a day.Therefore: 35/5-22/5=13/55. This problem requires multiple steps the first would be to make improper fractions then get a LCD and then of course subtract.
(6x8)+2=48+2=50 --> 50/8(5x3)+4=15+4=19 --> 19/5LCD 5:5,15,20,25,30,40 & LCD 8: 8,16,24,32,40 LCD=40(50/8)x5-(19/5)x8 = 250/40-152/40 = 98/40 This can be simplified49/206. For this we will use another LCD.
LCD 3: 3,6,9,12,15 LCD 5: 5,10,15 LCD=15(2/3)x5-(3/5)x3 = 10/15-9/15 = 1/15you have 20 quaters you find 40% more in your room then you go shopping and spend 50% of the total number of quarters
Answer:
you would have 14 quarters left.
Solving Equations Using Distributive Property 6(x - 3) = 36
Answer:
x=9
Step-by-step explanation:
Expand bracket
6x-18=36
Bring -18 to other side
6x=36+18
Add them
6x=54
Bring 6 to other side
x=54/6
Divide them
x=9
Calculate the slope of the line for Graph C.
Answer:
[tex]- \frac{5}{4}[/tex]
Step-by-step explanation:
Use the slope form:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
m = slope
Let:
[tex](x_1 , y_1) = (-2 , -8)\\(x_2 , y_2) = (-6 , -3)[/tex]
Plug in the corresponding numbers to the corresponding variables, and solve:
[tex]m = \frac{-3 - (-8)}{-6 - (-2)} = \frac{-3 + 8}{-6 + 2} = \frac{5}{-4} = -\frac{5}{4}[/tex]
[tex]- \frac{5}{4}[/tex] is your answer.
Yasmine is making party favors for her birthday party. She has 2/5 meter of yarn to make
bracelets for 5 people. How much of a meter can Yasmine use for each bracelet?
Write out the problem. Then create a model to represent the quotient.
Answer: 0.5 hope this helps if not i'm sorry
Plant A Plant B WeeksHeight (inches) WeeksHeight (inches) 06 04 28 27 Part A To graph the two linear relationships, you need to know which variable is the independent variable, x, and which is the dependent variable, y. Of the two variables, weeks and height, which is the independent variable and which is the dependent? Explain your answer.
Answer:
Weeks is the independent variable and height is the dependent variable.
Step-by-step explanation:
The height of the plant depends on the weeks the plant has been growing. So the height is the dependent variable. Because the number of weeks doesn't depend on anything, the number of weeks is an independent variable.
100 IF U GET THIS RIGHT!
Answer:
y-intercept: 3/7
Step-by-step explanation:
Our equation: y = mx + b
Given equation: y = 6x + 3/7
Now, let's compare:
y = mx + b = y = 6x + 3/7
We can tell that the y intercept is b, which is 3/7
Hoped this helped.
Answer:
y-intercept: 3/7
Step-by-step explanation: