The quotient of (x^5 – 3x^3 – 3x^2 – 10x + 15) and (x^2 – 5) is a (x^5-3x -3 - 24x/(x²-5)) polynomial.
What are the Quotients?Quotients are the number that is obtained by dividing one number by another number.
The quotient of (x^5 – 3x^3 – 3x^2 – 10x + 15) and (x^2 – 5) is a polynomial.
(x^5 - 3x³ - 3x² - 10x + 15) / p = x² - 5
p = (x^5 -3x³ - 3x² - 10x + 15)/(x² - 5)
= x^5 -3x - 3 - 24x/(x² - 5)
x^5 3x³ + 15x
x^5 - 3x² - 24x + 15
x^5 - 3x² + 15
0 - 24x + 0
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Answer: C
Step-by-step explanation:
Which function in vertex form is equivalent to f(x) = 4 x2 – 2x? f(x) = (x – 1)2 3 f(x) = (x – 1)2 5 f(x) = (x 1)2 3 f(x) = (x 1)2 5
The vertex form which is equivalent to the provided quadratic function of variable x is (x-1)²+3.
What is the vertex form of parabola?Vertex form of parabola is the equation form of quadratic equation, which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.
The standard equation of the vertex form of parabola is given as,
[tex]y=a(x-h)^2+k[/tex]
Here, (h, k) is the vertex point.
The function given in the problem is,
[tex]f(x) = 4+x^2 - 2x\\f(x) = x^2 - 2x+4[/tex]
Add and subtract (-1)² in the above function,
[tex]f(x) = x^2 - 2x+4+(-1)^2-(-1)^2\\f(x) = x^2 - 2x+(-1)^2+4-1[/tex]
Use the formula of whole square,
[tex]f(x)=(x-1)^2+3[/tex]
This is the required vertex form.
Hence, the vertex form which is equivalent to the provided quadratic function is (x-1)²+3.
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Evaluate. Pre algebra
Answer:
[tex]4^3 =64\\\\(-3)^4 = 81[/tex]
Step-by-step explanation:
[tex]4^3 = 4\times 4 \times 4 = 64\\\\(-3)^4 = (-1)^4\cdot 3^4 = 81[/tex]
HELP PRETTY PLEASE
The scatter plot below shows the relationship between the number of bill.
The most appropriate prediction of the grocery bill for a family that
consists of six members is
(1) $100
(2) $300
(3) $400
(4) $500
Answer:
$300
hope this helps :)
What is the area of the triangle?
Will mark brainlyest!!
Answer:
A = 28 sq cm
Step-by-step explanation:
Area of a triangle:
A = 1/2• base•height
= 1/2•7•8
= 28 sq cm
A=27 inches and b=36 inches what is the length of the hypotenuse
Answer:
Hypotenuse = 45 inches
Step-by-step explanation:
Let the hypotenuse be known as "C".
Definition of hypotenuse:
The hypotenuse is the longest side in a right triangle.
Since the word "hypotenuse" is stated in the question, we can assume that the triangle is a right triangle and therefore, Pythogoras theorem can be used to determine the measure of the hypotenuse.
Pythogoras theorem
x² = y² + z²[Where "x" is the hypotenuse, "y" and "z" are the legs of the right triangle].
We are given that:
Leg A = y = 27 inchesLeg B = z = 36 inchesHypotenuse = x = C inchesWhen the meausures are substituted in the formula, we get;
⇒ (C)² = (27)² + (36)²Evaluate the squares on the right hand side:
⇒ (C)² = (27)² + (36)²⇒ (C)² = 729 + 1296Simplify the expression on the right hand side:
⇒ (C)² = 729 + 1296⇒ (C)² = 2025Take square root both sides of the equation:
⇒ √(C)² = √2025⇒ C = 45 inchesTherefore, the measure of the hypotenuse is 45 inches.
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I need help asap please
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). Find the 49th term. 8, 14,20,. Hint its not 294
Answer: 296
Step-by-step explanation: explicit rule formula for an arithmetic sequence:
a_n = a_1 +(n-1)(d)
20-14= 6
d= 6
a_1 = 8
a_n = 8 + (n-1)(6)
= 8+6n-6
a_n= 6n+2
substitute to find answer:
a_49= 6(49) +2
= 294+2
=296
simplify 8j-3-2j+6 what strategy should be implored first?
Need help asap please
Answer:
9:49 is the answer because question say ratio is square of small and big
Please help! Will mark brainlyest.
Answer:
C. -3 is less than -5
Step-by-step explanation:
If a starting population size is 200 individuals and there are 20 births and 10 deaths per year, the per capita growth rate (r) is ____ and the new population size after one year will be
The per capita growth rate is 5% and the new population size after one year will be 210 individuals
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The per capita growth rate is given as:
per capita growth rate = change in population / initial population = (20 - 10)/200 = 0.05 = 5%
In one year, population = 200 + (0.05 * 200) = 210
The per capita growth rate is 5% and the new population size after one year will be 210 individuals
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what's the algebra meaning?
Answer:
the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Step-by-step explanation:
PLS I NEED HELP I NEED TO UNDERSTAND
Answer:
you got incorrect before Imao hm whats the question?
Step-by-step explanation:
solve the equation x+2=5x-2
Hey there!
Solve the equation:
Answer :x = 1 ✅
Explanations:x + 2 = 5x - 2
>> Add 2 to both sides
x + 2 + 2 = 5x - 2 + 2
x + 4 = 5x
>> Substract x from each side
x + 4 - x = 5x - x
4 = 4x
4x = 4
>> Divide both sides by 4
4x/4 = 4/4
x = 1
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Have a good day ;)
Given :-
X + 2 = 5X - 2To find :-
The value of Xsolution:-
x + 2 = 5x -2
moving like terms to the same side2+2 = 5x - x
4 = 4x
1 = x
Donna bought 3 bags of dog treats for $6.15. What is the cost per bag of dog treats? A. $0.49 B. $9.15 C. $3.08 D. $2.05
Answer:
$2.05
6.15 divided by 3 is 2.05. To check, you multiply 2.05 x 3.
Find the radius of a circle with an area of 89 square feet.
Answer:
[tex]r = 5.32\ feet[/tex]
Step-by-step explanation:
Step 1: Determine the radius
Formula to get the area of a circle → [tex]A=\pi r^2[/tex]
Insert 89 into the A and solve for r
[tex]\frac{89}{\pi} = \frac{\pi r^2}{\pi}[/tex]
[tex]28.3296 = r^2[/tex]
[tex]\sqrt{28.3295} = \sqrt{r^2}[/tex]
[tex]r = 5.32[/tex]
Answer: [tex]r = 5.32\ feet[/tex]
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
the answer is b
Step-by-step explanation:
9/10 minus 3/5 is 0.3. 0.3 as a fraction is 3/10
Answer: the answer is b which is 3 over 10
Step-by-step explanation: as a decimal it us 0.3 which is the same as 3 over 10 . Hope it is correct . Please give brainliest .Thanks .
does anyone know what 3x4/5x6 is
Answer:
12/30 or 6/15
Step-by-step explanation:
3x4=12
5x6=30
12/30
simplified would be 12/30 divided by 2/2
the answer is 6/15
Answer:
3x4=12 and 5x6=30
Step-by-step explanation:
This is because 5x5x5x5x5x5 6 times equal 30 and 3x3x3x3 4 times equals 12. Thank u for your time.
Write the slope-intercept form of equation.
1) 3x – 2y = -12
Answer:
[tex]y=\dfrac{3}{2}x+6[/tex]
Step-by-step explanation:
Slope-intercept form of a linear equation:
[tex]y=mx+b[/tex]
where:
m is the slopeb is the y-interceptGiven equation:
[tex]3x-2y=-12[/tex]
To write the given equation in slope-intercept form, apply arithmetic operations to isolate the variable y.
Add 2y to both sides:
[tex]\implies 3x-2y+2y=-12+2y[/tex]
[tex]\implies 3x=2y-12[/tex]
Add 12 to both sides:
[tex]\implies 3x+12=2y-12+12[/tex]
[tex]\implies 3x+12=2y[/tex]
Switch sides:
[tex]\implies 2y=3x+12[/tex]
Divide both sides by 2:
[tex]\implies \dfrac{2y}{2}=\dfrac{3x+12}{2}[/tex]
[tex]\implies \dfrac{2y}{2}=\dfrac{3x}{2}+\dfrac{12}{2}[/tex]
[tex]\implies y=\dfrac{3}{2}x+6[/tex]
Therefore, the slope-intercept form of the given equation is:
[tex]y=\dfrac{3}{2}x+6[/tex]
where 3/2 is the slope, and 6 is the y-intercept
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Slope intercept form y=mx+b
Let's find
3x-2y=-123x+12=2yy=3/2x+12/2y=3/2x+6Done!
Please, help with this question!
Answer:
arc AM = 114°
Step-by-step explanation:
the measure of a tangent- chord angle is half the measure of its intercepted arc, that is
∠ MAC = [tex]\frac{1}{2}[/tex] (AM )
57° = [tex]\frac{1}{2}[/tex] AM ( multiply both sides by 2 to clear the fraction )
114° = AM
PLEASE HELP
I will give five stars and a thanks and brainly
Answer:
We can divide an algebraic term by another algebraic term to get the quotient. The steps below show how the division is carried out.
We can multiply two algebraic terms to get a product, which is also an algebraic term.
Step-by-step explanation:
Given tan(8) = 4/3 and sin(8) = -4/5, find cos(8).
A. 1/3
B. -1/3
C. 3/5
D.-3/5
E. -3squared/5
I assume you mean β in place of 8.
Remember that tangent is defined as
tan(β) = sin(β) / cos(β)
so that
cos(β) = sin(β) / tan(β) = (-4/5) / (4/3) = -3/5 … … … [D]
Which expression gives the volume of a sphere with radius 17?
A. 4pi(17^3)
B. 4/3pi(17^2)
C. 4pi(17^2)
D. 4/3pi(17^3)
Answer:
D
Step-by-step explanation:
The formula for a sphere is 4(π/3) * r ^ 3. If we plug in r we get 17^3 * 4/3 * π
A coin is flipped three times. H represents heads, and T represents tails. What is the sample space?
{HHH, TTT, HTT, HHT, TTH, THH, THT, HTH}
(HHH, TTT, HTT, THH, THT}
{HH, TT, HT, TH}
{HTT, HHT, TTH, THH, HTH}
Answerit is false
Step-by-step explanation: smart
WILL GIVE BRAINIEST AND EXTRA POINTS 2 BEST ANSWER
There are four relations, labeled A through D shown below
Determine whenever or not each relation represents a function
Lines p and q are parallel.
Parallel lines p and q are cut by transversals r and s. At the intersection of lines p, r, and s, clockwise from top left, the angles are blank, 93 degrees, blank, blank, 1, 60 degrees. At the intersection of lines q and s, the angles are blank, 2, blank, blank. At the intersection of r and q, the angles are 3, blank, blank, blank.
What is the measure of angle 2 in degrees?
27°
33°
60°
93°
Answer:
60°
Step-by-step explanation:
The given 60° angle and angle 2 are alternate interior angles of parallel lines p and q with transversal s, so they are congruent.
m<2 = 60°
Answer:
Based on the alternate interior angle theorem, the measure of angle 2 in the diagram given is: C. 60°
What is the Alternate Interior Angles Theorem?
The alternate interior angle theorem states that the measure of two alternate interior angles are congruent.
Angle 2 and 60° are alternate interior angles, therefore:
Angle 2 = 60° [alternate interior angle theorem].
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Step-by-step explanation:
Golf Federation wants to find out which brand of golf balls are the most popular among men living in the United States between the ages of 25 and 40. They surveyed 100 of their male customers living in California between the ages of 25 and 40. The Golf Federation and found that the most popular golf ball is Miller followed by Smith and Sixon. Therefore, the Golf Federation concludes that the most popular brand of golf balls among men living in the United States between the ages of 25 and 40 is Miller. Select the statement that is true about Golf Federation's conclusion. A. The Golf Federation's conclusion was not valid because the sample was biased since all the male customers were of ages from 25 and 40. B. The Golf Federation's conclusion was not valid because the sample was biased since the male customers all lived in California. C. The Golf Federation's conclusion was valid because the sample was random. D. The Golf Federation's conclusion was valid because the sample was biased since the male customers all lived in California.
Using sampling concepts, it is found that the correct option is given by:
B. The Golf Federation's conclusion was not valid because the sample was biased since the male customers all lived in California.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
In this problem, the objective is to make an estimate about the most popular brand of golf ball from men all over the United States, however, only customers from California were chosen, hence the sample is not representative and option B is correct.
More can be learned about sampling concepts at https://brainly.com/question/25122507
Answer:b
Step-by-step explanation:The Golf Federation's conclusion was not valid because the sample was biased since the male customers all lived in California.
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area of semi circle= (1/2).π.r²
(1/2)×3.14×14×14
307.72 cm²
Melanie spent half of her allowance going to the movies. She's washed the family car and earned 6 dollars. What is her weekly allowance if she ended up with fifteen dollars??
(I will mark brainliest)
A square picture frame has a round circle cut out to show the picture. What is the area of the picture frame?
Will mark brainlyest!!
Answer:
117.5
Step-by-step explanation:
hope this helps! have a great day
What is 4/5 in a percent
Answer:
80%
Step-by-step explanation:
I use cross multiplication for this
4/5 = ?/100
so you would do (4*100)/5 to get the percent which would then be 80%