Answers
Answer:
a = 3, b = 2
Step-by-step explanation:
It is given that both the polynomials are equal.
Therefore, h(x) = k(x)
[tex] {x}^{3} + (a + b) {x}^{2} - 4x + 2 \\ = {x}^{3} + 5 {x}^{2} - (2a - b)x + 2 \\ \\ equating \: like \: terms \: on \: both \: sides \\ (a + b) {x}^{2} = 5 {x}^{2} \\ \implies \: a + b = 5.....(1) \\ \\ - (2a - b)x = - 4x \\ 2a - b = 4....(2) \\ \\ adding \: equations \: (1) \: and \: (2) \\ \\ 3a = 9 \\ \implies \: a = \frac{9}{3} \\ \huge \red{ \boxed{\implies \: a = 3}} \\ \\ substituting \: a = 3 \: in \: equation \: (1) \\ 3 + b = 5 \\ \implies \: b = 5 - 3 \\ \huge \purple{ \boxed{ \implies b = 2}}[/tex]
Related Questions
what is 6^2 equivalent to
Answers
Answer:
36
Step-by-step explanation:
6 to the second power or 6^2 is equivalent or equal to 36, 6x6, 36/1, 36/36
Or if you were looking for just the answer, 36.
Hope that helped (lol)
State the percent to the nerest tenth. Original= 311. New=300
Answers
Answer:
3.54%
Step-by-step explanation:
311-300=11
(11/311)×100=3.54 (2 d.p)
Find the value of x in the triangle below if y=26°
Answers
Answer:
x=77°
Step-by-step explanation:
The total angle of a triangle is 180°
There is 2x, and y =26°
180-26=154.
2x=154
/2 /2 divided by 2
x=77°
Zhang is designing protective packaging. He tests his design by dropping a raw egg protected by his packaging from various heights. He finds that the egg is protected up to a height of 11 meters. Zhang needs to convert the height from meters to yards for his report.
Unit of Length
Customary System Units
Metric System Units
1 inch
2.54 centimeters
1 foot
0.3048 meters
1 mile
1.61 kilometers
How many yards can the packaged egg drop without breaking? Use the table to find the answer. Round to the nearest hundredth.
10.06 yards
12.03 yards
18.04 yards
36.09 yards
Answers
Answer:
12.
03
Step-by-step explanation:
1)Write the ratio of oats to seeds in three different ways 5 cups of oats 3 cups of seeds 1 cup of nuts 2 cups of raisins
Answers
Answer:
5 to 3
5 : 3
5 / 3
Step-by-step explanation:
Given:
5 cups of oats
3 cups of seeds
1 cup of nuts
2 cups of raisins
Write the ratio of oats to seeds in three different ways
Ratios can be written in the form
1. A to B
2. A:B
3. A/B
There are 5 cups of oats 3 cups of seeds
Ratio of oats to seeds can also be written as
5 to 3
5 : 3
5 / 3
Jocelyn can bake 48 cookies per hour. She needs to bake 120 total cookies and has already baked 24 cookies
Answers
Answer:
Step-by-step explanation:
it will take jocelyn 2 hours to make 120 cookies
What is the slope of a line that is parallel to the graph of 5x+4y=y?
Answers
Answer:
-5/3
Step-by-step explanation:
Jane paid $40 for an item after she received a 20% discount. Jane's friend says this means that the original price of the item was $48.
Answers
Answer:
Jane's friend is correct
Step-by-step explanation:
$40-100%
x -120%
x=120*40/100=$48
I hope i calculated correctly
I would love if someone helps me w this one
Answers
Answer:
2,7 is where the lines intersect
X=2
Y=7
correct me if i am wrong
Step-by-step explanation:
What is the domain of y = csc(x)?
all real numbers
all real numbers except n Pi + Pi/2, where n is any integer
all real numbers except n Pi, where n is any integer
all real numbers greater than 1 or less than -1
Answers
All real numbers except n Pi, where n is an integer. Option C is correct.
What is the difference between domain and range?The domain denotes all potential x values, while the range denotes all possible y values.
Given function;
y = csc(x)
Anything that is real, excluding n Pi, where n is an integer.
Hence option C is correct.
To learn more about domain and range, refer to https://brainly.com/question/1632425.
#SPJ2
Simplify a - {b - [C- (d - e) -f]-g}.
Answers
Answer:
C+a−b−d−f+g+e
Step-by-step explanation:
Carlos spent 1\dfrac141 4 1 1, start fraction, 1, divided by, 4, end fraction hours doing his math homework. He spent 1\dfrac141 4 1 1, start fraction, 1, divided by, 4, end fraction as much time practicing piano. How many hours did Carlos spend practicing piano?
Answers
Answer:
Carlos spent [tex]\frac{5}{16}[/tex] hours in practicing piano
Step-by-step explanation:
Carlos spent hours in doing his maths homework =[tex]1 \frac{1}{4}[/tex]
Carlos spent hours in doing his maths homework = [tex]\frac{5}{4}[/tex]
We are given that He spent 1/4 of his time practicing piano
So, Time spent by Carlos in practicing piano = [tex]\frac{1}{4} \times \frac{5}{4}[/tex]
Time spent by Carlos in practicing piano = [tex]\frac{5}{16}[/tex]
Carlos spent hours in practicing piano = [tex]\frac{5}{16} hours[/tex]
Hence Carlos spent [tex]\frac{5}{16}[/tex] hours in practicing piano
PLEASE HELP NOW!!!
How does the graph of the function f(x + 3) compare to the graph of f(x)?
A.f(x + 3) has a vertical shift 3 units up from f(x).
B.f(x + 3) has a vertical shift 3 units down from f(x).
C.f(x + 3) has a horizontal shift 3 units to the right of f(x).
D.f(x + 3) has a horizontal shift 3 units to the left of f(x).
Answers
Please help me!!
Select the correct answer.
Clarissa's sister makes weekly installment payments for a motorized scooter she purchased from a friend. She purchased the motorized scooter for $600 and is paying $18.75 a week to her friend until it is paid off.
Clarissa's sister wants to know when she has $150 left to pay for the motorized scooter.
Select the equation and solution for the number of months, x, it takes her to have $150 left to pay.
A) -18.75x + 600 = 150
Clarissa's sister will have $150 left to pay after 24 weeks.
B) 18.75x − 600 = 150
Clarissa's sister will have $150 left to pay after 8 weeks.
C) -18.75x + 150 = 600
Clarissa's sister will have $150 left to pay after 24 weeks.
D) 18.75x − 150 = 600
Clarissa's sister will have $150 left to pay after 8 weeks.
Answers
Answer:
(A.)
Step-by-step explanation:
Hope it helps :)
Have a good day/night
Brainliest pls?
A company is trying to decide which container of coffee to buy for a staff meeting. Which of the following would be the best deal? Hint: find the best unit cost
Group of answer choices
32 ounces for $4.00
60 ounces for $6.75
48 ounces for $5.00
45 ounces for $4.50
Answers
find the slope y=-5x-1
Answers
Answer: -5
Step-by-step explanation:
What are the next two terms in this sequence: O, T, T, F, F, S, S,E,
Answers
Answer:
The order goes by -
O - one
T - two
T - three
F - four
F - five
S - six
S - seven
The next two numbers are -
E - eight
N - nine
Answer:
N, T
It's like one, two, three, four, five, six, seven, eight, nine, ten.
If 9 bottles of soy sauce cost $32.85 and the price of each bottle is the same, how much does each bottle cost?
Answers
Answer:
$3.65
Step-by-step explanation:
32.85/ 9 = $3.65
Answer:
$3.65
Step-by-step explanation:
this is easy lol
ASAP! THERE IS ANOTHER ONE!
How will the volume of a cube change if its edge becomes twice as long; 3 times as long; 10 times as long; n times as long?
Answers
Please help I'm trying too keep my grades up I was crying I dont wanna fail
Answers
Answer:
No.
Step-by-step explanation:
[tex]10^{4} =(10)(10)(10)(10)\\10^{4} =10000\\[/tex]
[tex](10)(4)=40[/tex]
[tex]10000\neq 40[/tex]. Therefore, [tex]10^{4} \neq[/tex]10x4.
**Exponents expresses how many times the number it multiplied by it's own value. Such as [tex]x^{2}[/tex] is the same as (x)(x) since it is times by itself 2 times. Or, [tex]6^{8}[/tex] is the same as (6)(6)(6)(6)(6)(6)(6)(6) since it is times by itself 8 times.
The blue dot is at what value on the number line?
Answers
Answer: I'm pretty sure the number line goes by 4, so the blue dot is on -10.
Step-by-step explanation:
. A bakery sells 1,230 cakes during a holiday season. One-third of them are caramel cakes, one-half are chocolate cakes, and the remaining are banana cakes. What is the total amount earned by the bakery by selling the cakes during the holiday season?
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Cakes = 1230[/tex]
[tex]Caramel = \frac{1}{3}[/tex]
[tex]Chocolate = \frac{1}{2}[/tex]
[tex]Banana = ??[/tex]
Required
Determine the total amount earned
The given parameters can't be used to determine the total amount earned.
However, we'll make some assumptions
First, we need to solve for the amount of each cake sold
[tex]Caramel = \frac{1}{3}[/tex]
[tex]Caramel = \frac{1}{3} * 1230[/tex]
[tex]Caramel = 410[/tex]
[tex]Chocolate = \frac{1}{2}[/tex]
[tex]Chocolate = \frac{1}{2} * 1230[/tex]
[tex]Chocolate = 615[/tex]
[tex]Banana = 1230 - 410 - 615[/tex]
[tex]Banana = 205[/tex]
Assume that:
Each caramel were sold at x
Each chocolate were sold at y
Each banana were sold at z
[tex]Total\ Amount = 410 * x + 615 * y + 205 * z[/tex]
[tex]Total\ Amount = 410x + 615y + 205z[/tex]
Seven subtracted from twice a number gives 41, find this number.
Answers
2x = 48
x = 24
Answer:
2x -7 = 41
2x = 41 +7
2x = 48
x = 24
What is this ? I need help on it ????
Answers
Answer:
Help on what?
Write the relation as a set of ordered pairs.
a ordered pairs: {(-1,-2), (0, 0), (1, 2)}
b. ordered pairs: {(2,-1), (0, 0), (2, 1)}
c. ordered pairs: {(1, 2). (0, 0), (2, 1)}
d. ordered pairs: {(2,-1), (0, 0), (1, 2)}
Answers
Answer:
A
Step-by-step explanation:
Answer:
Option A
Step-by-step explanation:
it's Y over X
I also took this test on edge :)
Choose an equivalent expression for 106 ÷ 104.
Answers
Answer:
10^2
Step-by-step explanation:
When we divide exponents we subtract the exponenets in the top (in this case 6-4). This will give us 10^2. You can also check this.
The equivalent expression for 10⁶ ÷ 10⁴ will be 10². Then the correct option is A.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The numbers are given below.
10⁶ and 10⁴
The division of the numbers 10⁶ and 10⁴ will be given below.
⇒ 10⁶ ÷ 10⁴
⇒ 10⁶ / 10⁴
⇒ 10⁶⁻⁴
⇒ 10²
The equivalent expression for 10⁶ ÷ 10⁴ will be 10². Then the correct option is A.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
The only thing i need
Answers
Answer:
Dilation
Step-by-step explanation:
Hope it helps!!
Answer:
Dilation
Step-by-step explanation:
hopes this help
21000+600+90+90+18=_____
like i dont know
Answers
Answer:
21,798
Step-by-step explanation:
Answer:
21798
Step-by-step explanation:
add them all up step by step
Does anybody know anything about measuring Angles I need help?
Answers
Answer:
yes ....I can help please
let's take the example 2
x° and 68° forms right angle so it's 90°
so we'll add them to find x
x° = 90°- 68° = 22°
2. X = 22
3. X = 56
4. X = 137, Y = 43, Z = 137
5. X = 108, Y = 72, Z = 47
6. Measure D = 105
7. Measure B = 48
8. Measure P = 116
9. Measure K = 67
Hope this helped :)
4 1/3 is what type of fraction
Answers
Answer:
A mixed fraction/mixed number
Step-by-step explanation:
Answer: mixed number
A mixed number is a fraction with a whole number, and a fraction. The number 4 1/3 has a whole number, and a fraction.
The answer is mixed number. Hope this helps!