Answer:
Cubic polynomial function with zeros 3,3 and -3 is [tex]\mathbf{x^3-3x^2-9x+27=0}[/tex]
Step-by-step explanation:
We need to find a cubic polynomial function with zeros 3,3 and -3.
If zeros of polynomial are: 3,3,and -3
we can write:
x=3, x=3, x=-3
Or
We can write:
x-3=0, x-3=0, x+3=0
Now, we can write them as:
(x-3)(x-3)(x+3)=0
Multiplying the terms, we can find the polynomial:
[tex](x-3)(x-3)(x+3)=0\\(x(x-3)-3(x-3))(x+3)=0\\(x^2-3x-3x+9)(x+3)=0\\(x^2-6x+9)(x+3)=0\\x(x^2-6x+9)+3(x^2-6x+9)=0\\x^3-6x^2+9x+3x^2-18x+27=0\\x^3-6x^2+3x^2+9x-18x+27=0\\x^3-3x^2-9x+27=0[/tex]
So, cubic polynomial function with zeros 3,3 and -3 is [tex]\mathbf{x^3-3x^2-9x+27=0}[/tex]
You bought a car that had factory installed tires marked as "P185 75/R14". You bought and installed tires on your car that are marked "P205 75/R14". What is the circumference of the P185 tire?
A) 24.93 inches
B) 27.93 inches
C) 78.31 inches
D) 81.99 inches
Which ordered pair follows the pattern in the graph?
(2, 4)
(3, 4)
(6, 8)
(6, 9)
Answer:
The correct answer is (6,9)
Step-by-step explanation:
The ability to influence another is a function of ______
= Dependency
Step-by-step explanation:
The ability to influence another is a function of dependency hahahaja
solve for (0)
12
15
Round to the nearest hundredth
Answer:
.014
Just trust me, you know I have your back
If P = 3x2 – x + 2 and Q = x2 + 5x – 6, then P + Q =
Question 3 options:
A)
4x2 – 4x + 4
B)
4x2 + 4x + 4
C)
4x2 + 4x – 4
D)
4x2 – 4x – 4
Answer:
B)
4x2 + 4x + 4 may be right answer
A circle is centered at (5, −9) and has a radius of 12. Which of the following is the equation for this circle?
Answer:
[tex]\boxed {\boxed {\sf (x-5)^2+(y+9)^2=144}}[/tex]
Step-by-step explanation:
The standard form for the equation of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where (h,k) is the center of the circle and r is the radius.
For this circle, the center is (5, -9) and the radius is 12. Therefore:
[tex]h= 5 \\k= -9 \\r=12[/tex]
Substitute the values into the formula.
[tex](x-5)^2+(y-(-9))^2=(12)^2[/tex]
Distrubute the -1 into the -9.
-(-9)= -1*-9= 9[tex](x-5)^2+(y+9)^2=(12)^2[/tex]
Solve the exponent.
(12)²= 12*12=144[tex](x-5)^2+(y+9)^2=144[/tex]
The equation for the circle with a center (5,-9) and radius of 12 is (x-5)²+(y+9)²=144
Based on the calculations, the equation of this circle in standard form is equal to (x - 5)² +(y + 9)² = 144.
The equation of a circle.Mathematically, the standard form of an equation of a circle is given by;
(x - h)² +(y - k)² = r²
Where:
h and k represents the coordinates at the center.r is the radius of a circle.Given the following data:
Coordinates (h, k) = (5, -9).Radius = 12.Substituting the given parameters into the formula, we have;
(x - 5)² +(y - (-9))² = 12²
(x - 5)² +(y + 9)² = 144
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5. Skylar got a manicure for $25. If she plans to
tip 20%, how much is her tip?
Answer:
$5.00
Step-by-step explanation:
All we have to do is multiply 25 x 1/5 or 20%
25 x 1/5 = $5.00
to check, $5 x 5 = 25
For every 2 bricks, 5 paving stones were used to build a backyard patio. James used a total of 120 bricks to complete his patio. Of the paving stones he used, 46% were tan in color while the rest were gray.
How many gray paving stones were used to build the patio?
Answer:
162
Step-by-step explanation:
... (total paving stones) / bricks = 5 / 2
Multiplying by bricks gives ...
... (total paving stones) = (5/2)·bricks = 5/2·120 = 300
Then the number of gray paving stones is ...
... (gray stones) = (total paving stones) - (tan stones) . . . . tan + gray = total
... = (total paving stones) - 46% · (total paving stones) . . . . tan is 46% of total
... = (100% - 46%)·(total paving stones) = 54% · (total paving stones)
... = 54/100 · 300 . . . . put in the total number of paving stones
... (gray stones) = 162
Answer:
The answer is 162
Step-by-step explanation:
Graph x > -3. Please help soon!!! Thanks!!!!!
Answer: ok....
Step-by-step explanation:
60 boys at a summer camp were asked to complete a survey about their favorite outdoor activity.
18 boys chose biking and 29 boys chose fishing.
The remaining boys did not complete the survey.
Which expression gives the percent of survey participants who chose fishing?
Answer:
48.3%.
Step-by-step explanation:
To determine the percentage of children in the summer camp who chose fishing as their favorite activity, knowing that there were 29 of 60 children in total who chose that option, the following calculation must be performed:
60 = 100
29 = X
(29 x 100) / 60 = X
2,900 / 60 = X
48.3 = X
Therefore, 48.3% of the children chose fishing as their favorite activity in summer camp.
Answer:
29
--------- ×100
18 + 29
Step-by-step explanation:
i got it right on ttm <3
Write the expression below as a product of two factors 6m +8n + 4
Answer: 2(3m+4n+2) is the answer
Explanation: because I’m smort;)
A certain alloy contains 14% tin and 32% copper. (The percentages are by weight.) How many pounds of tin and how many pounds of copper must be melted with 1750 lb of the given alloy to yield a new alloy containing 20% tin and 35% copper? Hint: Introduce variables for the weights of tin and copper to be added to the given alloy. Express the total weight of the new alloy in terms of these variables. The total weight of tin in the new alloy can be computed two ways, giving one equation. Computing the total weight of copper similarly gives a second equation.
Answer:
The answer is 10 I believe! A whole triangle is equal to 180 degrees so 180-70-60-60= -10. So we have to add 10 to equal it to zero. Hope this helped
Step-by-step explanation:
Which is the graph of
y= 1/2x
See picture
PLEASE ONLY COMMENT IF YOU ARE SURE OF THE ANSWER!!!
Answer:
Option 1
Step-by-step explanation:
Let's look at the slope; 1/2
it's positive, so the line will go from Quadrant III to Quadrant I. That means that Option 3 is out since it goes from Quadrant IV to Quadrant II.
Next; let's look at the steepness of the lines. Slopes that are fractions less than 1 are flatter than slopes that are greater than 1. Since the slope on Option 1 is flatter than Option 2, that means that Option 1 is a number less than 1, while Option 2 is a number greater than 1.
You can stop here, but we can also triple check using the rise/run.
Start from a point, for example (0,0) on Option 1. To get to the next point that's two whole numbers (1,2) we need to go 2 to the right and one up. Since we rose 1, and ran 2, the slope would be 1/2.
If we do the same with Option 2, we'll find that it rises 3 and runs 2. The slope for this line is 3/2.
Hope this helps!
CAN SOMEONE PLEASE HELP IVE BEEN ASKING FOREVER FOR SOME HELP
Answer:
i believe its b. but im not 100% sure though!
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
(lol optional): add my sc: tealyn337
Gregory used a calculator to find the equation h = 1.32t + 1.56, where t is the number of days after the grass was trimmed and h is its height measured in centimeters. Predict the height of the grass after 4 days.
F 1.85 cm
G 6.11 cm
H 6.35 cm
J 6.84 cm
Answer:
J
Step-by-step explanation:
h = 1.32t + 1.56
Replace t with 4 (days):
h = 1.32(4) + 1.56
Multiply:
h=5.28 + 1.56
Add:
h=6.84
The correct choice is J
*You don't have to, but I am currently trying to reach the next level, and all I need is some more brainliest answers. If you think my answer was brainly enough, you can make my answer the brainliest, but no pressure. I just help people for fun! :) Thank you, have a great day!*
What is one-third of one-half?
Answer:
0.16666666666
Step-by-step explanation:
1/3 x 1/2 = 0.16666666666
A square is defined to be a quadrilateral with four congruent sides and four right
angles. Additionally, squares have two pairs of parallel sides,
Choose all of the quadrilaterals that accurately complete the following statement:
A square is a special
Answer:
Step-by-step explanation:
a square is a special rectangle and a parallelogram , and a rhombus
please help me find the answer
The sum of three consecutive integers is 12 less than 4 times the middle integer
Answer:
[tex]\mathrm{The\:three\: integers\: are\: 11, 12, \: and\:13.}[/tex]
Step-by-step explanation:
We can set up the following equation with the information given:
[tex](x-1)+x+(x+1)=4x-12[/tex], where [tex]x[/tex] is the middle integer.
Solving, we get:
[tex]3x=4x-12, \\-x=-12,\\x=\fbox{12}[/tex].
The three consecutive integers which are 12 less than 4 times the middle integer are 11, 12, and 13.
What are integers?Integers consist of whole numbers and negative numbers on a number line. For e.g -17, 2, 0, etc. are integers.
Consecutive integers mean integers that come one after another in the number line like 1, 2, 3 or 10, 11, 12, etc.
So if we have to form an equation for three consecutive numbers, it will,
(x-1), x, (x+1),
Now, according to the question,
(x-1) + x + (x+1) = 4x -12
Solve the equation,
3x = 4x -12
x = 12
Hence, first integer = 12 -1 = 11,
Second integer = 12,
Third integer = 12+1 = 13.
Therefore, the three consecutive integers which are 12 less than 4 times the middle integer are 11, 12, and 13.
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QUESTION 4 of 10: An entertainment venue has a total advertising budget of $5 million per year. 30% of the budget is spent on social media
and 25% is spent on traditional media. Within the traditional media spending, 15% is spent on print advertising, 50% is spent on TV advertising
and 35% is spent on radio advertising. How much is spent on radio advertising?
ОООО
a) $437,500
b) $525,000
c) $687,500
d) $1,500,000
Answer:a
Step-by-step explanation:trust me bro
Draw and use algebra tiles to solve the equation.
2x - 3 = 5
Answer: x=4
Step-by-step explanation: Add 3 to both sides, Divide both sides by 22
Answer:
x=4
Step-by-step explanation:
2x-3=5
2x-3+3=5+3
2x=8
2x/2=8/2
x=4
Steve began a baseball card collection by purchasing some cards. He increased the number of cards in the collection by a constant amount each week after that. The table below shows the total number of cards in the collection at the end of several weeks. How many cards did Steve initially purchase to begin his collection
Answer:95
Step-by-step explanation:
95x3=285
There are 95 cards did Steve initially purchase to begin his collection.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Steve began a baseball card collection by purchasing some cards.
And, He increased the number of cards in the collection by a constant amount each week after that.
Now, In 3 weeks he collect 285 cards.
Hence, Number of cards to collect in initially is,
⇒ 285/3
⇒ 95
Thus, There are 95 cards did Steve initially purchase to begin his collection.
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Need Answer Question Is In Photo.
Answer:
The correct answer would be bill
Step-by-step explanation:
Hope that's right! Hope it helps
Chu
Step-by-step explanation:[tex]\frac{x}{3}+4=7[/tex] (subtract 4 from both sides (4-4 and 4-7)
[tex]\frac{x}{3}=3\\[/tex] (multiply both sides by 3)
x=9
A hose fills a hot tub at a rate of 4.68 gallons per minute. How many hours will it take to fill a 338 gallon hot tub?
Answer:
1 hour and 12 mins and 56 seconds
Step-by-step explanation:
Hope this helps and have a great day!!!
Need help math question ! 10 points !!
Answer:
the first choice if correct could i get brainliest?
Step-by-step explanation:
Answer:
The answer is the last option, 5/6.
PLEASE HELP!!! A group has at most $140 to spend on an event space. The inequality 15h + 40 140 represents the cost to rent the space, where h represents the number of hours the group can rent the space, and 40 represents the set up fee. Solve and graph the inequality to determine the number of hours they can utilie the room.
9514 1404 393
Answer:
h ≤ 6 2/3
Step-by-step explanation:
The inequality is presumed to be ...
15h +40 ≤ 140
15h ≤ 100
h ≤ 6 2/3
__
The graph shows h ≥ 0, because the inequality is only reasonable for h ≥ 0.
Solve by completing the square
x^2 + 10x - 17 = 22
There are 120 people on the bus 50% get off at the first stop 20% get off at the second stop. The rest get off on the third stop. How many people got off the bus at the third stop?
Answer:
36
Step-by-step explanation:
so 50% of 120 is just half of it. so that would be 60. Then 20% of 120 is 24 so subtract that from 60 and you get 36.
SECTION B.
7. After 12 years Raghav will be three times as old he was four years ago. Find his present age.
In triangle ABC, m∠A = 36°, m∠B = 84°, and m∠C = 60°. The side lengths, in order from greatest to least, are
Answer:
AC ; AB ; BC
Step-by-step explanation:
Recall that largest angles will oppose largest sides in a triangle, therefore, the angles in order of greatest to smallest are:
<B (84); <C (60); <A (36)
Their opposite sides will keep the same order from largest to smallest:
AC ; AB ; BC
The side lengths, in order from greatest to least, are
AC
AB
BC