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.
It took Jada's aunt 3/4 hour to put a puzzle together. It took Jada 2 1/3 times as long as her aunt to put the puzzle together.
How long did it take Jada to put the puzzle together?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
1 3/4 brainliest please
Step-by-step explanation:
Answer:It took Jada 1 3/4 hours to put the puzzle together.
Step-by-step explanation: Multiply 3/4 by 2 1/3 and you get the answer.
3х — бу - z = 3
4х +4y +z= — 1
X-2y – z = -1
Answer:
[tex]3x - 6y - x + 3 = =[/tex]
Can someone please help me with this?
Hello,
Ali is right, Khamis is wrong. Why because Khamis forgot to put the negative sign in front of 5b, it should be wrote -5b in the second line and not 5b.
And then Khamis should have divided -5b by -5b.
Good Luck
Please help and no links
Answer:
B) y=3x
Step-by-step explanation:
2 x 3 = 6
3 x 3 = 9
4 x 3 = 12
You can find y by multiplying the x by 3. The relationship between the x and y is proportional. For example, lets say my x is 20, my y would be 60. 20 x 3 = 60.
If you are still unsure, remember constant of proportionality is k=y/x, so your constant is 3.
please , answer this question:(
Answer:
50sStep-by-step explanation:
To find algebraic expression, you need to look at the paragraphCost of 1 gift card of music : $50Cost of each song : s dollarsWe have to multiply 50 by s dollars.A magnifying glass shows the image of an object that is 10 times the objects actual size. Determine the length of the image of the object if the actual length of the object is 8 millimeters
Guided Practice
Type your answer and then click or tap Done.
What is the vertex of the parabola with the equation y=15x^2+2x−8?
Answer:
(Fill in the blank text field 1
-5
, Fill in the blank text field 2
-13
)
Step-by-step explanation:
(Fill in the blank text field 1
-5
, Fill in the blank text field 2
-13
)
Done
The vertex of the parabola is (−5, −13).
Rewrite in vertex form and use this form to find the vertex
(
h
,
k
)
.
(
−
1
/15
,
−
121
/15
)
Find the vertex form.
y
=
15
(
x
+
1
/15
)
2
−
121
/15
What is the value of this expression when c = 3 and d = 7? 15+c2⋅d−c3
Answer:
The value of this expression is 48
Step-by-step explanation:
15 + c2 * d - c3
c = 3
d = 7
Substitute the values of c and d
15 + (3)2 * 7 - (3)3
Multiply the parenthesis first
15 + 6 * 7 - 9
Now multiply 6 and 7
15 + 42 - 9
Now add 15 and 42
57 - 9
Now subtract
= 48
Answer:
48
Step-by-step explanation:
When you write out the problem it should look like this
15+c⋅2⋅d-c⋅3
or in other form
15+3⋅2⋅7-3⋅3
You can solve using PEMDAS
Paratheses
Exponents
Multiplication
Division
Addition
Subtraction
Just use those in order and you should find to answer.
-Rocketgamer360
You are solving 5 – 8/3
=y/3
. Which equation will you get if you multiply both sides by 3?
Answer:
y=0.76
Step-by-step explanation:
5-8/3 = 3y
(5-8/3) x 3 = 3y x 3
6.9=9y
9y=6.9
y=6.9/9
y=0.76
consider the function represented by the equation 6q = 3s - 9. write the equation in function notation where q is the independent variable
Answer:
3s = 6q + 9
Step-by-step explanation:
Remember y = mx + b? The function you provided is exactly that but with different letters. As written, the dependent variable is 6q since that is what is isolated. To make it the independent variable, isolate something else so that it becomes the dependent variable. In other words, solve for s by moving the 9 to the other side of the equation.
6q = 3s - 9
3s = 6q + 9
A 98% confidence interval is found to be (32,46). What is the margin of error ?
Using confidence interval concepts, it is found that the margin of error is of 7.
A confidence interval has the format (a,b).The margin of error is half the difference between the two bounds, that is:[tex]M = \frac{b - a}{2}[/tex]
In this problem, the interval is (32, 46), hence [tex]b = 46, a = 32[/tex], and the margin of error is:
[tex]M = \frac{46 - 32}{2} = 7[/tex]
The margin of error is of 7.
A similar problem is given at https://brainly.com/question/25704940
Answer:
Step-by-step explanation:
its 7 just did it
A movie theater charges $6 for each adult and $3 for each child. If the total amount in
ticket earnings one evening was $1428 and if there were 56 more children than adults, then
how many children attended?
Answer:
196 children
Step-by-step explanation: 6(140)+3(196)= 1428 (196-140=56)
If Nicole is tardy to class again, she will get detention. If Nicole gets detention, her mother will take her phone. What’s the conclusion?
Answer:
She needs to get to class on time
Step-by-step explanation:
If shes tardy shes going to get detention which will lead to her phone getting took.
please answer fast
10 marks
Answer:
AB = 5.2 cm , ED = 5 cm
Step-by-step explanation:
Δ ABE and Δ ACD are similar by the AA postulate
Then the ratios of corresponding sides are in proportion , that is
(a)
[tex]\frac{AB}{AC}[/tex] = [tex]\frac{BE}{CD}[/tex] , substitute values
[tex]\frac{AB}{11.7}[/tex] = [tex]\frac{6}{13.5}[/tex] ( cross- multiply )
13.5 × AB = 70.2 ( divide both sides by 13.5 )
AB = 5.2 cm
-------------------------------------------
(b)
[tex]\frac{AE}{AD}[/tex] = [tex]\frac{BE}{CD}[/tex] , substitute values
[tex]\frac{4}{AD}[/tex] = [tex]\frac{6}{13.5}[/tex] ( cross- multiply )
6 × AD = 54 ( divide both sides by 6 )
AD = 9
Then
ED = AD - AE = 9 - 4 = 5 cm
Write the phrase as an equation /
inequality
Four is twenty more than the number.
Help pls
Answer:
4 = 20 + n, where n is the number
Step-by-step explanation:
Here are a few key words to use when converting words to an equation
"is": =
"more": +
"less": -
"more than", "greater than": >
"less than": <
- Andy wants to rent a one-bedroom apartment in Green Acres. The apartment has a monthly rent of
$1,425. He must pay a $150 application fee, a security deposit that is equal to one month's rent and must
also
pay the last month's rent. His broker charges 5% of the yearly rent. How much is he expected to pay
up front in order to rent this apartment?
Answer:
$161.88
Step-by-step explanation:
1, 425 * 0.05 = 71.25 = yearly
71.25 / 12 = 5.94 = monthly
5.94 * 2 = 11.88 = for two months
11.88 + 150 = 161.88 = the amount he is expected to pay
Tell me if I'm wrong :)
what is the answer??????
Answer:
1) B 1 1/32 2) A 1.8
Step-by-step explanation:
1) 2 3/4÷2 2/3
Turn into improper fractions.
11/4÷8/3
Keep Change Flip
11/4x3/8
Multiply.
33/32
=1 1/32
2) 1 4/5 as a decimal.
Turn into an improper fraction.
9/5
Divide.
=1.8
Hope this helps :)
Beth has 6 blue envelopes. She has 2 fewer yellow envelopes than blue envelopes. She has 7 times as many green envelopes as yellow envelopes. How many envelopes does Beth have in all?
PLEASE ANSWER MY LITTLE SISTER DOESN'T TRUST ME WITH THE REAL ANSWER PLSSSSSS
Answer:
38
Step-by-step explanation:
No. of yellow envelopes she has
= 6-2
= 4
No. of green envelopes she has
= 7×4
= 28
Total number of envelopes she has
= 6+4+28
= 38
Find the value of 7u-8 given that -4u-5=3
Answer:
22
Step-by-step explanation:
-4u - 5 = 3
=> -4u = 8
=> u = -2
=> 7(-2) - 8
=> -14 - 8
=> -22
Therefore, -22 is our answer.
Hoped this helped.
write the phrase as a expression.
3 fewer than 8
Your answer should be 3 < 8
Which answer correctly describes the transformation from the preimage to the
image?
a translation 10 units left and 8 units down
a reflection over the x-axis
a translation 10 units right and 8 units up
a rotation of 180°
a reflection over the y-axis
Translation of 10 units left and 8 units down
================================================
Explanation:
Always start with the preimage. Let's say we focus on point A located at (3,6). Its corresponding point is A' located at (-7,-2). To go from (3,6) to (-7,-2), we move 10 units to the left and 8 units down.
The motion "10 units to the left" means we subtract 10 from the x coordinate. The "8 units down" part means we subtract 8 from the y coordinate.
Overall, the translation rule is [tex](x,y) \to (x-10,y-8)[/tex]
If we applied that rule to A(3,6), then...
[tex](x,y) \to (x-10,y-8)\\\\(3,6) \to (3-10,6-8)\\\\(3,6) \to (-7,-2)\\\\[/tex]
which is what the diagram shows going from A to A'
Let's do the same for point B(3,1)
[tex](x,y) \to (x-10,y-8)\\\\(3,1) \to (3-10,1-8)\\\\(3,1) \to (-7,-7)\\\\[/tex]
This indicates B(3,1) moves to B ' (-7,-7) which is what the diagram shows. I'll let you confirm that C(6,6) moves to C ' (-4,-2) using that translation rule.
How do you write the nth term rule for the sequence
1
,
3
,
5
,
7
basically the answer is 2n-1 2n comes from the difference to get from 1 to three and the -1 from 2n to get to 1 you need to minus 1 so you get -1
Graph the equation.
what is the equation of the trend line in the scatter plot
Answer: y = -x + 8
When you replace x by 0, you obtain y = 8 and when you replace x by 6, you obtain 2. (the red dots on the graph)
How to draw on the graph
y=3x
y=x-6
I need it as soon as possible plz
Answer:
I believe the graphing should look like this.
Step-by-step explanation:
A certain class has 25 students. If 8 students play football and, 10 plays baseball and 6 plays both, how many students play neither football nor baseball?
Answer:1
Step-by-step explanation:
8+10=18 18+6=24 25-24=1
Answer:
7
Step-by-step explanation:
8 fb
10 bb
6 both, but are among the 8 & 10
so 7
hope it helps
What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Green Cab?
Step-by-step explanation:
the general slope intercept form is
y = ax + b
a is the slope. it is expressed as ratio of y change / x change when going from one point to another.
b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).
we get b by using the point coordinates in the equation and solve for b.
we see costs is on the y axis, and miles is on the x axis.
so what points do we identify on the chart for the green taxi ?
there is right on the y-axis (0, 5). which is already our y-intercept.
and then let's pick e.g. the point where both lines intercept : (3, 8).
for the slope we look at the coordinate changes :
x changes by +3 (from 0 to 3).
y changes by +3 (from 5 to 8).
so, the slope is 3/3 = 1.
and again, the y- intercept is +5.
therefore, the line equation is
y = x + 5
meaning the cost of a fare is the number of miles plus 5.
what is the answer ?????
Answer:
2456≈2500
14725=14700 (to 3sf)
Please I really do need ur help. 4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number.
What is the number?
Enter your answer as a mixed number in the simplest form in the box.
Answer: X = 2 2/3
Step-by-step explanation:
4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number.
Let X be the "number." Translate the sentence:
(4 5/9) = ((2 1/3) + (5/6))*X
"4 5/9 is the same": (4 5/9) =
"as the sum of 2 1/3 and 5/6": ((2 1/3) + (5/6))
"times a number": *X
Put them all together:
(4 5/9) = ((2 1/3) + (5/6))*X
(41/9)-(7/3) = (5/6)X
(41/9)-(21/9) = (5/6)X
(20/9) = (5/6)X
X = (20/9)*(6/5)
X = 120/45
X = 2 30/45 or 2 2/3
There are 4 red marbles, 2 white marbles, and 2 black marbles in a bag. Consider the following compound events. What is the probability that marina will pick two red marbles if she returns the first marble to the bag
Answer:
8
Step-by-step explanation:
eight more anakd;odslakhas sfjjjsjas