The simplest form of a^2-ab is given by 3x^3 + x^2 + 6x - 9.
We have given that,
a = x^2,
b = 3x + 2,
c = x – 3
We have to determine ab- c^2.
What is the meaning of the simplest form?
A fraction is in its simplest form when the numerator and the denominator have no common factors besides one.
ab- c^2
[tex]=x^2(3x+2) - (x-3)^2\\ =3x^3 + 2x^2 - (x^2 - 6x + 9) \\=3x^3 + 2x^2 - x^2 + 6x - 9 \\=3x^3 + x^2 + 6x - 9\\[/tex]
The simplest form of a^2-ab is given by 3x^3 + x^2 + 6x - 9.
To learn more about the simplest form visit:
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i have no clue how to do this i need help
Answer:
x^32
Step-by-step explanation: because its (x^4)^8 you mutiply 4 by 8 so you get 32 and 32 is the new power so it is now x^32.
[please answer asap!! :) limited amount of time and will give brainliest or whatever it’s called!!]
The length of each side of an equilateral triangle is increased by 5 inches, so the perimeter is now 60 inches. Write and solve an equation to find the original length of each side of the equilateral triangle.
An airplane covers 900 miles in first 30 minutes and 3040 miles in next 2 hours. What is the speed of the airplane in the first 30 minutes
Answer:
hi how do you do I actually don't know sorry very much
HELP! WILL GIVE BRAINLEST!
Answer:
last option
Step-by-step explanation:
7pi/6,11pi/6
Answer:
D
Step-by-step explanation:
the answer is D
this is essentially sin theta = -1/2 which I already solved for you a few mins ago :)
solve for the missing side. round to the nearest 10th.
Answer :
6.7 mm[tex] \: [/tex]
Explanation :
This is Right Angled Trian1gle.[tex] \: [/tex]
Solution :
We'll solve this using the Pythagorean Theorem.[tex] \: [/tex]
Where,
VW (9 mm) is the Hypotenuse.UV (6 mm) is the Base.UW is the Perpendicular .[tex] \: [/tex]
We know that,
[tex]{\longrightarrow \pmb{\mathbb {\qquad (UV) {}^{2} + (UW) {}^{2} =( VW) {}^{2} }}} \\ \\ [/tex]
Now, we will substitute the given values in the formula :
[tex]{\longrightarrow \pmb{\sf {\qquad (6) {}^{2} + (UW) {}^{2} =( 9) {}^{2} }}} \\ \\ [/tex]
We know that, (6)² = 36 and (9)² = 81. So,
[tex]{\longrightarrow \pmb{\sf {\qquad 36 + (UW) {}^{2} =81}}} \\ \\ [/tex]
Now, transposing 36 to the other side we get :
[tex]{\longrightarrow \pmb{\sf {\qquad (UW) {}^{2} =81 - 36 }}} \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (UW) {}^{2} = 45}}} \\ \\ [/tex]
Now, we'll take the square root of both sides to remove the square from UW :
[tex]{\longrightarrow \pmb{\sf {\qquad \sqrt{(UW) {}^{2}} = \sqrt{ 45}}}} \\ \\ [/tex]
When we take the square root of (UW)² , it becomes UW,
[tex]{\longrightarrow \pmb{\sf {\qquad UW = \sqrt{45}}}} \\ \\ [/tex]
We know that, square root of 45 is 6.708.
[tex]{\longrightarrow \pmb{\sf {\qquad UW \approx6.708}}} \\ \\ [/tex]
So,
The measure of the missing side (UW) is 6.7 mm (Rounded to nearest tenth)WILL GIVE BRAINLIEST IN NEXT 30 MINUTES
one side of a rectangle is 7 inches longer than another side. If the longer side of this rectangle decreases by 3 inches, and the shorter side increased by 2 inches, the area of the new rectangle equals the area of the original rectangle. Find the dimensions of the original rectangle.
Answer:
The length is 15 and the width is 8
Step-by-step explanation:
Use this formula to find what the dimensions are. x is the length of the shorter side while (x+7) is the length of the longer side:
(x+7)(x) = ((x+7)-3)(x+2)
x = 8
(8+7)(8) = ((8+7)-3)(8+2)
15(8) = (15-3)(10)
120 = 12(10)
120 = 120
The length is proved 15 and the width is proved 8.
What is the measure in degrees of an angle that is equivalent to 1/360 of a circle.
Answer:
1 degree
Step-by-step explanation:
360 degrees / 360 = 1
The number a is less than the number b by 1/5 of b. By what part of a is b greater than a?
Answer:
b is greater than a by 1/4 of a
Step-by-step explanation:
The statement “The number a is less than the number b by 1/5 of b”
means “if we subtract one fifth of b from b itself we get a”
we write this mathematically like this :
[tex]a=b-\frac{b}{5}[/tex]
_________
[tex]\rightarrow a = \frac{5b-b}{5} =\frac{4b}{5}[/tex]
[tex]a=\frac{4b}{5} \Longrightarrow 5a=4b[/tex]
[tex]5a=4b\Longrightarrow b=\frac{5a}{4}[/tex]
[tex]\Longrightarrow b=\frac{5a}{4} =\frac{4a+a}{4}=\frac{4a}{4}+\frac{a}{4}=a+\frac{a}{4}[/tex]
Answer:
0.25
Step-by-step explanation:
Use the function below to find F(3).
F(x) = 3x
O A. 27
OB. 81
O C. 9
OD. 6
Answer: 27
Answer:
C
Step-by-step explanation:
If the function equation is F(x)=3x. You just plug in the 3 from F(3) in for the x.
F(x)= 3x
↓
F(3)=3(3)
F(3)=9
Which equation can be used to represent the statement? Half of a number minus Severn is one and five tenths.
Solve the following please:
Answer:21
Step-by-step explanation: solve whats in the numerator then solve whats in the denominator then you divide
Consider this function.
f(x)=2x-2Which graph represents the inverse of function ?
>
у
54
sX
5
4
+
3+
3-
2
N
2
2
2
3
4
-2
3
-1
-1
-2 +
-2+
-37
-3
Answer:
the first graph
Step-by-step explanation:
the inverse function is(x+2)/2
therefore,2 points on the graph are
(0,1),(-2,0)
How would i find the IQR?
Answer:
well to find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
explanation:
me is smart
Find the area.
5cm
3cm
4 cm
Answer:
6 cm²
Step-by-step explanation:
Since 3 side lengths are given, I assume that this figure is a triangle. The area of a triangle can be determined by using hero's formula.
[tex]\text{Area of triangle} = \sqrt{\text{s(s - a)(s - b)(s - c)}[/tex]
⇒ s = Perimeter/2
⇒ a, b, and c = side lenths of triangle
Replacing a, b, and c as the given side lengths:
[tex]\implies \text{Area of triangle} = \sqrt{\text{s(s - 5)(s - 3)(s - 4)}[/tex]
Determining the perimeter of the triangle:
[tex]\text{Perimeter of triangle = Sum of it's side lengths}[/tex]
[tex]\implies \text{Perimeter of triangle =}\ 5 + 4 + 3[/tex]
[tex]\implies \text{Perimeter of triangle =}\ 12 \ \text{cm}[/tex]
Determining the half of perimeter:
[tex]\text{Half of perimeter} = s = \dfrac{\text{Perimeter}}{2}[/tex]
[tex]\implies s = \dfrac{12}{2}[/tex]
[tex]\implies s = 6[/tex]
Replacing the value of "s" in the formula:
[tex]\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}[/tex]
Evaluating the area:
[tex]\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}[/tex]
[tex]\implies \text{Area of triangle} = \sqrt{\text{6(1)(3)(2)}[/tex]
[tex]\implies \text{Area of triangle} = \sqrt{\text{6(6)}[/tex]
[tex]\implies \text{Area of triangle} = 6 \ \text{cm}^{2}[/tex]
The radius of a circle is 2.9 in. What is the circumference to the nearest tent to the nearest tenth?
Answer:
18.2
Step-by-step explanation:
Find the area 7cm. 20cm. 11cm. 14cm. ( will mark brainlest)
Answer:
217
Step-by-step explanation:
we split the shape into 2 different rectangles and find the sum of their area.
small rectangle: 7 × 11 = 77
large rectangle 7 × 20 = 140
140 + 77 = 217
Answer:
[tex]A_{total} = 217\ cm^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the bottom rectangle
[tex]A = l * w[/tex]
[tex]A = 14\ cm * 11\ cm[/tex]
[tex]A = 154\ cm^2[/tex]
Step 2: Determine the area of the top rectangle
[tex]A = l * w[/tex]
[tex]A = 7\ cm * (20\ cm - 11\ cm)[/tex]
[tex]A = 7\ cm * 9\ cm[/tex]
[tex]A = 63\ cm^2[/tex]
Step 3: Determine the total area
[tex]A_{total} = 154\ cm^2 + 63\ cm^2[/tex]
[tex]A_{total} = 217\ cm^2[/tex]
Answer: [tex]A_{total} = 217\ cm^2[/tex]
i need help asap worth 100pts
Answer:
Part (a)
It depends how your calculator calculates quadratic regressions.
For my calculator:
Go to Statistics menuSelect quadratic regression: y=a+bx+cx²Input the x and y values from the given tableGo to options and select regression calca = 1.177142857 = 1.18 (nearest hundredth)
b = 42.22257143 = 42.22 (nearest hundredth)
c = -12.87142857 = -12.87 (nearest hundredth)
⇒ y = 1.18 + 42.22x - 12.87x²
Therefore, the quadratic regression equation in standard form is:
[tex]y = -12.87x^2+ 42.22x + 1.18[/tex]
Part (b)
To estimate the height of the rocket after 5 seconds, input x = 5 into the regression equation:
[tex]\implies -12.87(5)^2+ 42.22(5) + 1.18=-109.47[/tex]
As this gives us a negative value, this means that the rocket would have come back to the ground before 5 s. Therefore, the height of the rocket at 5 s will be 0 ft.
(see attached graph → the rocket will hit the ground at approx 3.3 s)
In order to study the amounts owed to a particular city, a city clerk takes a random sample of 16
files from a cabinet containing a large number of delinquent accounts and finds the average amount
rowed to the city to be $230 with a sample standard deviation of $36. It has been claimed that the
true mean amount owed on accounts of this type is greater than $250. If it is appropriate to assume
that the amount owed is a Normally distributed random variable, the value of the test statistic
appropriate for testing the claim is
(a) -3. 33 (b) - 1. 96
(c) - 2. 22
(d) -0. 55
(e) - 2. 1314
Using the t-distribution, it is found that the value of the test statistic is given by:
(c) -2. 22
What are the hypotheses tested?At the null hypotheses, it is tested if the mean is not greater than 250, that is:
[tex]H_0: \mu \leq 250[/tex]
At the alternative hypotheses, it is tested if it is greater, that is:
[tex]H_1: \mu > 250[/tex]
What is the test statistic?It is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.In this problem, the values of the parameters are:
[tex]\overline{x} = 230, \mu = 250, s = 36, n = 16[/tex].
Hence, the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{230 - 250}{\frac{36}{\sqrt{16}}}[/tex]
t = -2.22.
Which means that option C is correct.
More can be learned about the t-distribution at https://brainly.com/question/26454209
Williana’s mother wants to buy a glass tabletop for their dining room table. The tabletop is shaped like a hexagon with sides measuring 27. 75 inches. If the glass costs $0. 06 per square inch, how much will she spend on the glass table top?
$
The total amount that Williana's mother would spend to buy the glass table top is $120.04.
What is the total cost of the glass table top?The first step is to determine the area of the glass table top.
Area of a hexagon = [(3√3)/2] x a²
a = side length
2.598 x 27.75² = 2000.68 in²
Cost of the table top = 2000.68 in² x 0.06 = $120.04
To learn more about hexagonal prisms, please check: https://brainly.com/question/27242498
Please help me
I will give
BRAINLY
5 STARS
and a THANKS
Answer:2 + 0.2n + 8/10. This will be your correct answer.
Step-by-step explanation:
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answer:
C: 8/15
A: 4/25
Step-by-step explanation:
put it into a fraction, four times out of 25 = 4/25, for the first question you would have to simplify it to 8/15.
answer this attachment for 21 points and brainliest
Answer:
60
Step-by-step explanation:
Just by using process of elimination, we can delete all but 1 answer. 95% is greater than 50% and half of the first second and fourth answers are all greater than 57
The number of bacteria on a microscope slide doubles every hour . There are initially 4 bacteria present . Create an explicit function fto model the growth after n hours .
Answer:
I think a possible equation can be; f(n) = 4(2)ⁿ
f(n) = a * bˣ
Where;
f(n) = the function of f for every n value
a = Initial value (in this case it would be 4)
b = Rate of change (in this case it would be 2, since the bacteria doubles)
x = exponent (in this case it would be n)
So our final equation would be:
f(n) = 4(2)ⁿ
Hope this helps!
A bag Contains five blue marbles two green marbles and three yellow marbles what is the probability of Choosing one Green marble and a yellow marble with replacement what does this mean
Answer:
3/50.
Step-by-step explanation:
There are 10 marbles in the bag.
Probability( a green marble) = 2/10 = 1/5.
Now we replace the green marble in the bag so it contains 10 marbles again.
Probabilty(a yellow marble) = 3/10.
So Probability(Choosing a green then a red with repeacemen)
= 1/5 * 3/10
= 3/50.
Miss Chang ordered a pizza to share with some Grade 8 students. Miss Chang
gave Michael some slices of pizza. Miss Chang gave Amy twice as many slices of
pizza as Michael. Miss Chang gave Mr. Au three times the sum of what she gave
to Michael and Amy. Miss Chang gave 60 slices of pizza to Michael, Amy and Mr.
Au in total. How many slices of pizza Miss Chang give to each person?
How would I solve this and what’s the answer ?
Which answer is wrong and what is the correct answer? I will give you BRAINLEST!
Answer:
Question B is (12,-7)
Step-by-step explanation:
The 2nd question is asking for the preimage. You did what the image would be if (4,-3) was the preimage.
what is the third significant figure of 0.134
Answer:
3
Step-by-step explanation:
The product of two consecutive integers is 272. which quadratic equation can be used to find x, the smaller number? x2 1 = 272 x2 − 1 = 272 x2 x − 272 = 0 x2 x 272 = 0
An equation is formed of two equal expressions. The quadratic equation that can be used to find x, the smaller number is x²+x-272.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the first number be x.
Now since the two numbers are consecutive numbers the other number will be (x+1). Also, it is mentioned in the problem that the product of the two numbers is 272. Therefore, the equation that can represent the product will be,
[tex]x \times (x+1) = 272\\\\x^2 + x =272\\\\x^2 + x -272 = 0[/tex]
Thus, the quadratic equation that can be used to find x, the smaller number is x²+x-272.
Learn more about Equation:
https://brainly.com/question/2263981
Answer:
c. x2 + x − 272 = 0
Step-by-step explanation:
if the cp of 10 bag is equal to sp of 12 bag find the profit Or loss percent
Answer:
you gained 20%
Step-by-step explanation:
hope this helps x