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.
You have 2\3 of a pizza left from yesterday. You divide it into 4 equal pieces. What fraction of the pizza is each piece?
====================================================
Explanation:
Let's say for example this pizza had 6 slices to start with. Two-thirds of this is (2/3)*12 = 4 slices. So you have 4 slices left over from yesterday. Then let's say you hand one slice to each of your four friends. Each friend would have 1/6 of the original pizza.
In the partial sequence …, 987, N, 2584, 4181, …, each new term is the sum of the two previous terms. Find the whole number value of N.
Answer: 2584
Step-by-step explanation:
We can find N with 2584 and 4181.
4181 - 2584
= 1597
We can also check our answer by adding 1597 and 987
1597 + 987
= 2584
A sequence can be arithmetic, geometric or neither.
The value of N is 1597
The partial sequence is given as:
.... 987, N, 2584, 4181......
From the question, the current term is the sum of two previous terms.
This means that:
[tex]\mathbf{987 + N = 2584}[/tex] and
[tex]\mathbf{N + 2584 = 4181}[/tex]
Make N the subject in both equations
[tex]\mathbf{N = 2584 - 987}[/tex]
and
[tex]\mathbf{N = 4181 - 2584 }[/tex]
So, we have:
[tex]\mathbf{N = 1597}[/tex]
and
[tex]\mathbf{N = 1597}[/tex]
Hence, the value of N is 1597
Read more about partial sequence at:
https://brainly.com/question/12914852
plss help, it’s pretty easy tho
Answer:
B
Step-by-step explanation:
1\4-2\5
plese help and thank
you
Answer:
3/20
Step-by-step explanation:
3/20 I sure, Just trying this one
spilled $40 into the ratio of 3:7
Answer:
$12/$28
Step-by-step explanation:
Let x and y represent the two amounts of money adding up to $40.
Assume that x is the smaller amount. Then:
x 3
----- = ----- Remembering that x + y = $40, we get x = $40 - y
y 7
amd sp we have
$40 - y 3
-------------- = ------ which, after cross-multiplication, is $280 - $7y = 3y
y 7
Simplifying this, we get $280 = 10 y, so that y must be $28. If y = $28, x must be $40 - $28, or $12.
$12
Then $40, split in the ratio 3/7, is the ratio ----------------
$28
Check: Note that $12 + $28 = $40, as required, and that $12/$28 = 3/7.
How many rows would be returned from a cross join of tables A and B, if A contains 8 rows and B contains 18
The number of rows that would be returned from the cross join of tables A and B is 144 rows.
The cross join of table A and table B is the cartesian product of A and B.
Since table A = 8 rows and table B = 18 rows, the cartesian product of the rows is 8 × 18 = 144 rows.
So, the number of rows that would be returned from the cross join of tables A and B is 144 rows.
Learn more about cross join here:
https://brainly.com/question/24263570
Mindy can a drive a total of 375 miles on a full tank of gas, which is 25 gallons. Based on this information, what is the constant of proportionality?
25
15
375
10
Answer:
15
Step-by-step explanation:
[tex]\frac{25}{375} = \frac{1}{x}[/tex]
Cross multiply to get 25x = 375
Divide each side by 25 to get x = 15
what is the x intercept
Answer:
The answer is B
if "-3(y-10=9" what is the value of y-12
Answer:
the correct answer is -5 since y=7
Find the perimeter. Simplify your answer.
Answer:
4
Step-by-step explanation:
yeah-ya........ right?
The perimeter of the triangle is 2(12c - 7).
What is a triangle?A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. The perimeter of a triangle is the sum of the side lengths.
What is the perimeter of the triangle?Perimeter = 7c - 5 + 7c - 5 + 10c - 4
24c - 14
2(12c - 7)
To learn more about a triangle, please check: https://brainly.com/question/9329354
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answer:
parallel, perpendicular are opposite
Answer:
PARALLEL PERPENDICULAR
Step-by-step explanation:
Need help really quick look at the picture thank you soooooooo,, muchh
Answer:
The answer would be -7/12
Step-by-step explanation:
Use math.way itll help you tremendously :)
Given the complementary angle of y is 43º. Find the supplementary angle of y
Step-by-step explanation:
complementary = adds up to 90 degrees.
supplementary = adds up to 180 degrees.
the complementary angle of y is 43 degrees.
so, y = 90 - 43 = 47 degrees.
the supplementary angle of y = 47 is
180 - 47 = 133 degrees
Hello!
Given the complementary angle of y is 43º.
90 - 43 => 47°
Find the supplementary angle of y
180-43 => 137°
What is the area of this tile?
Answer:
Area: 9 in.²
Step-by-step explanation:
Area of square: side²
=> Area of Square tile: 3²
=> 9 in.²
Hoped this helped.
Answer:
9
Step-by-step explanation:
To find the area of a square, multiply both sides.
3*3=9
4d=12 solve for the variable
If a triangle has a base of 6 feet and a height of 5 feet, what is the area?
Answer:
15 square feet
Step-by-step explanation:
a = (1/2)bh
a = (1/2) * 6 * 5
a = 3 * 5
a = 15
15 square feet
how do you simplify 2.7 x 6
Answer:
16.2
Step-by-step explanation:
Somebody please help
Answer:
c/ y=20x
Step-by-step explanation:
0.125 ultiply by 1000
Answer:
125 is answer .........:)
100-3x6+5-4= 63? help me its GEMDAS
Answer:
it's 86
Step-by-step explanation:
100-3x6+5-4
100-15+5-4
85+5-4
90-4
86
You answer 21 out of 25 questions correctly on a test. Did you reach your goal of getting 80% or better?
Answer:
Yes
Step-by-step explanation:
20 needed to get 80 %. You got one more than that so you got slightly more. So yes you did. You can also make 25 to 100 and 21 x4 so that gives you 84 % . So you scored %84.
Good job
2x-4>-14 or 2x-4\leq10
Answer:
x>0
Step-by-step explanation:
2x−4>−142x−4
Multiplica −14 y 2 para obtener −28.
2x−4>−28x−4
Agrega 28x a ambos lados.
2x−4+28x>−4
Combina 2x y 28x para obtener 30x.
30x−4>−4
Agrega 4 a ambos lados.
30x>−4+4
Suma −4 y 4 para obtener 0.
30x>0
El producto de dos números es >0 si ambos son >0 o <0. Puesto que 30>0, x debe ser >0.
x>0
plz help me fast Simplify t12/t6
Answer:
t^6
Step-by-step explanation:
when dividing exponents, you subtract (refer to exponent rule)
t^12 - t^6 = t^6
6457/25 using partial products
Set up using the same way please.
Answer: 6457/25=258.28
Step-by-step explanation:
Answer:
258.28 Hope this helps! Please mark brainliest it means a lot to me
Step-by-step explanation:
Th=0
H=2
T=5
0=8
tenth=2
hundredth=8
You could get the answer by doing long division/standard algorithm
|2x + 6| = 16
plsss helppp
Answer:
x = 5
Step-by-step explanation:
|2x + 6| = 16
=> 2x + 6 = 16
=> 2x = 16 - 6
=> 2x = 10
=> x = 5
Hoped this helped.
(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)
Answer:
The missing length is 10.44
Step-by-step explanation:
a^2 + b^2 = c^2
3^2 + 10^2 = c^2
9 + 100 = c^2
109 = c^2
√c^2 = √109
c = √109
c ≈ 10.440307
c ≈ 10.44
Answer:
10.44
Step-by-step explanation:
Pythagorean theorem equation is a²+b²=c²
3²+10²=c²
9+100=c²........simplify
109=c².............add
√109=c
10.44031
10.44................round to the nearest hundredth
I need help quickly
solve the equation 5(3x-1)=4(3x-2)
Answer:
x=-1
Step-by-step explanation:
15x-5=12x-8 Simplify Parentheses
3x=-3 Isolate the variable
x=-1 Divide by 3 on both sides
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
Our equation is
[tex]5\left(3x-1\right)=4\left(3x-2\right)[/tex]
First, we distribute
Now we have
[tex]15x-5=12x-8[/tex]
Subtract [tex]12x[/tex] from both sides
[tex]3x-5=-8[/tex]
add [tex]5[/tex] to both sides
[tex]3x=-3\\[/tex]
Divide both sides by 3
[tex]x=-1[/tex]
Brainliest please
"the product of negative three and x"
Which postulate or theorem proves that these two triangles are
congruent?
O ASA Congruence Postulate
O AAS Congruence Theorem
O HL Congruence Theorem
O SAS Congruence Postulateo
Answer: O AAS Congruence Theorem is your answer
Step-by-step explanation: plz give brainliest