Answer:
Step-by-step explanation:
y = a * x(x - 3)(x + 1)^2
2,12 is used to find the value of a
y = a (2)(2 - 3)(2 + 1)^2
12 = a (2)(-1)(3)^2
12 = a (2) (-1) (9)
12 = - 18*a
12/-18 = a
a = - 2/3
y = (-2/3)*x*(x - 3)(x + 1)^2
PLEASE HELP ME SOMEONE !!!!!!!!!!!!! WILL MARK BRIANLIEST !!!!!!!!!!!!!
Answer:The found angle D is:
D = 51.7°
Step-by-step explanation:
What's 2x to the third
Answer:
8x^3
Step-by-step explanation:
(2x)^3
=(2x)^3
=2x*2x*2x
=8x^3
For what value of m inequality is always true mx²+3mx+2>0?
Answer:
Step-by-step explanation:
If you were carrying a credit card balance of $2,000 at a 24% interest rate, what is the interest charge per month on that balance?
Plz help no link thank you
Answer:
x = 79
Step-by-step explanation:
This is an isosecles triangle so the bottom angles have equal measure
and since the sum of interior angles in a triangle is equal to 180
2x + 32 = 180 subtract 32 from both sides
2x = 158 divide both sides by 2
x = 79
Six times a number less 20 is the same as four times the same number increased by 6. Find the number
Answer:
13.
Step-by-step explanation:
SolutionLet X be the number.
Given information from the question, we can formulate an equation:
Six times a number less 20 = 4 times the same number increased by 6
6X - 20 = 4X + 6
From the equation, we can solve for X.
6X - 4X = 6 + 20
2X = 26
X = 26 ÷ 2
X = 13
Therefore the number is 13.
The value of the unknown number is = 13.
Let the unknown number be expressed by the variable = x.
According to the question, the mathematical linear equation in one variable that is 'x' can be expressed as:
=> 6x - 20 = 4x + 6
=> 6x - 4x = 6 + 20
=> 2x = 26
=> x = 26/2
=> x = 13
Therefore, the value of 'x' which is the unknown number is 13.
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Which function is the inverse of f
Answer:
Option C
Step-by-step explanation:
Given function is,
f(x) = 9x² - 12
Steps to find the inverse of the given function,
Step 1,
Write the function in the form of an equation,
y = 9x² - 12
Step 2,
Interchange variables 'x' and 'y' in the equation,
x = 9y² - 12
Step 3,
Solve this equation for 'y',
x = 9y² - 12
9y² = x + 12
[tex]y^2=\frac{1}{9}(x + 12)[/tex]
[tex]y=\pm\sqrt{\frac{1}{9}(x + 12)}[/tex]
[tex]y=\pm\frac{\sqrt{(x+12)}}{3}[/tex] Here, x > -12
Step 4,
Covert this equation into function,
[tex]g(x)=\pm\frac{\sqrt{(x+12)}}{3}[/tex]
Therefore, Option C will be the answer.
Charlotte is a customer-satisfaction expert at a large pizza company. She took a random sample of 1{,}0001,0001, comma, 000 delivery orders and constructed a one-sample zzz interval to estimate the proportion of delivery orders that take more than an hour to arrive. She decides to repeat this process, but this time she'll use a sample of 4{,}0004,0004, comma, 000 orders. Assume that the point estimates from each sample are approximately equal.What is true about the margins of error from these two samples
The smaller sample's margin of error will be almost twice as great as the larger sample's margin of error.
Calculating the margin of error for a given sample from a population:
Let the level of significance be and the standard deviation of the population be σ and the sample size be n, then we have:
MOE(Margin of Error)= [tex]z_{a/2}\times\frac{\sigma}{\sqrt n}[/tex]
Using the above formula to calculate the margin of errors for two specified samples
For first sample:
Sample size = n(1) = 1000
MOE(1) = [tex]z_{a/2}\times\frac{\sigma}{\sqrt {1000}}[/tex]
For second sample:
Sample size = n(2) = 4000
MOE(2) = [tex]z_{a/2}\times\frac{\sigma}{\sqrt {4000}}[/tex]
(since it was given that they have same point estimates, so same standard deviation)
Their ratios are given by
MOE(2)/MOE(1) = [tex]\frac{z_{a/2}\times\frac{\sigma}{\sqrt {4000}}}{z_{a/2}\times\frac{\sigma}{\sqrt {1000}}}[/tex]
MOE(2)/MOE(1) = [tex]\sqrt{\frac{1000}{4000}}[/tex]
MOE(2)/MOE(1) = 1/2
MOE(1) = 2*MOE(2)
Thus, the margin of error from the smaller sample will be about double of the margin of error from the larger sample.
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How would I do this?
[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{28p^5-8p^4 + 40p^2}{4p^3}\implies \cfrac{28p^5}{4p^3}-\cfrac{8p^4 }{4p^3}+\cfrac{ 40p^2}{4p^3}\implies 7p^5 p^{-3}-2p^4 p^{-3}+10p^2p^{-3} \\\\\\ 7p^{5-3}-2p^{4-3}+10p^{2-3}\implies 7p^2-2p+10p^{-1}\implies 7p^2-2p+\cfrac{10}{p}[/tex]
halfway between -5/6 and 1/3 on a number line
The halfway between the number is -1/4 on the number line.We can find halfway by using midpoint formula.
How do we show number on number line?If the given number is positive mark it on the right side of the origin. If it is a negative number mark it on the left side of zero.Then divide each unit into the values equal to the fraction's denominator.
What is a Number Line in Math?A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides horizontally or vertically.
Now
Using midpoint formula
[tex]x_{1}[/tex]+[tex]x_{2}[/tex]/2 =-5/6 +1/3 divide 2
Find common denominator and write the numerators above common denominator
-5+2/12 =-3/12
=-1/4
Hence we find midpoint between numbers.
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Lavaughn owns a small business selling ice-cream. He knows that in the last week 56 customers paid cash, 14 customers used a debit card, and 4 customers used a credit card. Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.
Using it's concept, it is found that there is a 0.054 probability that the next customer will pay with a credit card.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of 56 + 14 + 4 = 74 customers, 4 used credit cards, hence:
p = 4/74 = 0.054.
There is a 0.054 probability that the next customer will pay with a credit card.
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Solve the system of inequalities by graphing.
y≤10x–3
y>
–
1
2
x+1
A, B & C form a triangle where
∠
BAC = 90°.
AB = 12.2 mm and CA = 8.3 mm.
Find the length of BC, giving your answer rounded to 1 DP.
Answer:
[tex]Pythagoras \ theorem,\\BC^2 = AB^2 + AC^2 = 12.2^2 +8.3^2 =217.73\\\\BC =14.8mm[/tex]
Plz help me with this no links
Answer:
B
Step-by-step explanation:
Hope this helps :))
Find the value of X need ASAP please
Answer:
X= 80
Step-by-step explanation:
Solve each system by elimination.
1) -3х – бу = -3
5x + 5y = 0
Answer: look at the picture
Step-by-step explanation: Hope this help :D
a ball is dropped from a height of 600 feet. the height of the ball, H, after t seconds can be modeled by the function rule, H(t)=-4.9t^2 + 600. what would be the independent quantity
Answer:
the independent quantity is "t" (time in seconds)
Step-by-step explanation:
The problem statement tells you the function rule gives you H (the dependent quantity) as a function of t seconds. "t seconds" is the independent quantity.
Please help me with my hw
Answer:
9m^8 n^2
Step-by-step explanation:
Open up the parenthesis and simplify to find your answer.
as an estimation we are told 5 miles is 8km convert 30
miles to km
Find the scale:
30 miles / 5miles = 6
Multiply km by the scale:
8 km x 6 = 48 km
The answer is 48 km
Answer: 48km
Step-by-step explanations:. It's just simple cross multiplication.
5miles----->8km
30miles---->?km
Answer is ( 30×8)÷5= 48km
A circle with center O has radius 25. Chord AB of length 30 and chord CD of length 14 intersect at point P . The distance between the midpoints of the two chords is 12. The quantity OP^2 can be represented as m/n, where and are relatively prime positive integers. Find the remainder when m+n is divided by 1000.
Therefore after using the Pythagorean Theorem and the properties of chords in a circle we got 626 when m+n is divided by 1000.
What is Pythagorean Theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Define hypotenuse.The longest side of a right-angled triangle, or the side across from the right angle, is called the hypotenuse.
Let M and N be the midpoints of chords AB and CD, respectively.
Let X and Y be the foot of the perpendicular from P to chord AB and CD respectively.
Since X,Y are on the circle and P is the midpoint of XY,
OP = PX = PY = radius = 25
Now, using the Distance Formula:
(XM)^2 + (YN)^2 = (12)^2
By the Pythagorean Theorem, on triangle PXN and PYM,
(25)^2 + (YN)^2 = (PN)^2 = (14/2)^2 and
(25)^2 + (XM)^2 = (PX)^2 = (30/2)^2
OP^2 = 625 = 25^2
thus m+n = 625 + 1 = 626
and remainder when m+n is divided by 1000 is 626 % 1000 = 626
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is my answer correct or is it wrong
Answer:
Your answer is wrong, H is the correct answer.
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Note: This rule must be satisfied for all 3 conditions of the sides.
Will give branliest to first answer
When they ask for X, you are generally supposed to look at all the points in which the line intercepts the X axis. So that would be -2, 1, and 3.
PS. even if it asked for Y, instead of X, you would do the same thing.
Your friend wants to mark her favorite campsite on the map. She knows that the campsite is 65 miles north of her town. What distance on the map (in inches) represents an actual distance of 65 miles?
inches
Answer:
Step-by-step explain
We know that the campsite is 65 miles north of her town.
There are 63,360 inches in a mile
so, if you multiply it would look like
63,360 x 65 = 4,118,400
so, your answer would be 4,118,400 inches
Yoshi is making blueberry muffins. He needs 1 1/4 cups of blueberrie to make 1 batch pf muffins. How many cups will he need to make 2 1/2 batches?
Answer: [tex]3\dfrac{1}{8}\ \text{cups}[/tex]
Step-by-step explanation:
Given
Yoshi need [tex]1\frac{1}{4}[/tex] cups of blueberries to make 1 batch of muffins
convert mixed fraction to fraction
[tex]\Rightarrow 1\dfrac{1}{4}=\dfrac{5}{4}[/tex]
i.e. [tex]\frac{5}{4}[/tex] cups are required for 1 batch of muffins
for [tex]2\frac{1}{2}[/tex] batch or [tex]\frac{5}{2}[/tex] batch it is given by
[tex]\Rightarrow \dfrac{5}{2}\times \dfrac{5}{4}\\\\\Rightarrow \dfrac{25}{8}=3\dfrac{1}{8}\ \text{cups}[/tex]
Look at the triangle shown below.
107º
(2x - 5)º
xº
Which equation can be used to find the value of x?
O x + 2x - 5 = 107
O 107 + 2x - 5 = 180
107 + 2x - 5 + x = 180
X + 2x -5 = 180
Answer:
C. 107 + 2x - 5 + x = 180
Step-by-step explanation:
The sum of interior angles of a triangle = 180°
Therefore, to find x, we would state that all three angels indicated in the figure above equals 180°.
Thus:
107 + 2x - 5 + x = 180
We can solve and find the value of x using the equation above
Answer:
C
Step-by-step explanation:
Select the correct answer. A body travels 10 meters during the first 5 seconds of its travel, and it travels a total of 30 meters over the first 10 seconds of its travel. What is its average speed during the time from t
The speed of travel will be 4 m/s.
How do you find the distance traveled in the Nth second?The formula for distance travelled in nth second is given by, Sn = u + a (n – ½).
The body's total distance travelled is equal to the sum of the 10 m it covered in the first five seconds and the 30 m it covered in the following five seconds. The total distance covered is 40 metres. This can be divided by the duration to determine the average speed. Therefore, the average speed is 4 m/s.
Total distance=10+30=40
speed=distance/time=40/10=4m/s
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A $280 suit is marked down by 30%. Find the sale price.
Answer: The Sale price is $196
Step-by-step explanation:
We can start by converting 30% to a decimal 0.3, then we will multiply the $280 by the decimal (280*0.3 = $84) This means it is marked down by $84, so to get the sale price we subtract the mark down by the original price, ($280-$84 = $196).
Answer:
The suit's sale price is $196.
Step-by-step explanation:
⭐What is "mark down"?
the percentage the price of an item is reduced byTo find the sale price, we need to form an equation representing the given situation.
MARK DOWN:
original price - (mark down percentage)(original price) = sale price
Substitute the known values.
280 - (0.3)(280) = sale price
Compute.
280 - 84 = sale price
∴ $196 = sale price
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If Zoe paints the visible outside faces of her shed, what is the total surface area that she paints?
A-48ft squared
B-64ft squared
C-96ft squared
D-112ft squared
Answer:
Step-by-step explanation:
4*12 + 4[1/2(6*4)] =96 [tex]ft^{2}[/tex]
Which is the Value of x?
X=14
X=28
X=67
X=37
Answer:
x = 28
Step-by-step explanation:
3x - 21 = 63, I am making them equal to each other because of the vertical angle theorem.
3x - 21 = 63, add 21 to both sides
3x = 84, divide 3 to both sides to make x by itself
x = 28
Answer:
=28
Step-by-step explanation:
(3-21)= 633= 63+213= 84= 84:3= 28Someone help me out my grade are bad
Answer:
a= 7w
Step-by-step explanation:
hope this helps :)