Answer:
Step-by-step explanation:
Depending on whether or not the g(x) is x^2 or 2x, I have both ways.
If g(x) is x^2 - 9...
--> (3x^2 + 2) - (x^2 - 9) = 2x^2 + 11
If g(x) is 2x...
--> (3x^2 + 2) - (2x - 9) = 3x^2 - 2x + 11
Hope this helps!
Use synthetic division to evaluate (3x2 − 6x + 3) ÷ (x − 1). 3x − 9 3x2 − 3x 3x − 3 3x2 − 6
Answer:
[tex]\frac{\left(3x^2-6x+3\right)}{\left(x-1\right)3x-93x^2-3x^3x-33x^2-6}: -\frac{\left(x-1\right)^2}{x^4+41x^2+x+2}[/tex]
[tex]\frac{3x^2-6x+3}{\left(x-1\right)\cdot \:3x-126x^2-3x^3x-6}[/tex]
[tex]\frac{3\left(x-1\right)^2}{\left(x-1\right)\cdot \:3x-126x^2-3x^3x-6}[/tex]
[tex]\frac{3\left(x-1\right)^2}{-3\left(x^4+41x^2+x+2\right)}[/tex]
[tex]\frac{\left(x-1\right)^2}{-\left(x^4+41x^2+x+2\right)}[/tex]
[tex]-\frac{\left(x-1\right)^2}{x^4+41x^2+x+2}[/tex]
Answer:
3x-3
Step-by-step explanation:
use synthetic division
Scott has a rope 8 metres long. He says, “I need 9 pieces each 0.89 metres long.” Will Scott have enough ribbon? Explain your answer
Answer:
i don't know
Step-by-step explanation:
i don't know
You flip a fair coin 25 times in the air. what is the relative frequency with which the coin will land on tails 12 of those times?
For the given experiment, the relative frequency of getting tails is:
R = (12/25)*100% =48%
How to get the relative frequency?
If we perform an experiment N times, and out of these N times, K times we get a given outcome (Where K is a number equal to or smaller than N).
The relative frequency of that particular outcome is given by the quotient between the number of times that we got that outcome and the total number of times that the experiment was performed.
In this case, the experiment is performed 25 times, and 12 times we get tails, then the relative frequency for getting tails is:
R = 12/25
If we want to write it in percentage form, then we get:
R = (12/25)*100% =48%
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x:20 = 5:x
Calculate the positive value of x
Answer:
10
Step-by-step explanation:
x/20= 5/x
x²= 100
x=√100
X=±10
x=10
Answer:
x = 10
Step-by-step explanation:
expressing the ratios in fractional form
[tex]\frac{x}{20}[/tex] = [tex]\frac{5}{x}[/tex] ( cross- multiply )
x² = 100 ( take square root of both sides )
x = ± [tex]\sqrt{100}[/tex] = ± 10
the positive solution is x = 10
A company models its net income, in thousands of dollars, with the function f(x) = 9x² – 54x – 144, where x is the number of units of its product sold. How many units of its product does the company need to sell in order for the net income to equal $0?
Answer:
8
Step-by-step explanation:
Income = 0
so 0 = 9x^2 - 54x - 154
you can go straight to the Quadratic Formula to find the answer, or you can try factoring as follows ....
divide both sides of the equation by 9 to get
x^2 -6x -16 = 0 which easily factors to :
(x -8)(x+2) = 0 <===== this shows x = 8 or -2(throw out)
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 57 feet, and the length of the other base is 52 feet. The height is 18 feet. What is the area of this section of the deck?
Answer:
Area of section is 981 square feetStep-by-step explanation:
Given trapezoid with:Bases 57 feet and 52 feet;Height 18 feet.To findArea of trapezoidSolution
Equation of area:
A = (b₁ + b₂)h/2Substitute values and calculate:
A = (57 + 52)*18/2 = 109*9 = 981 ft²helppp plssss find the perimeter of the polygon all segments that appear to be tangent are tangent to the circle
answer : 70.6
steps :
I attached a picture
you see 9.6?
it's also 9.6 on the side that is 17.2
if you look at the picture I attached you'll know what I mean
on the side that is 15.7 it's
15.7 - 9.6 =
6.1 on the other part of the side that is 15.7
that means it's
6.1 on a part of the side that doesn't have a measurement
on the side that 17.2 it's
17.2 - 9.6 =
7.6 on the other side
that means it's also
7.6 on the side that's 19.6
19.6 - 7.6 = 12.0 on the side that's 19.6 so it's also
12.0 partly on the uncensored side
on the side that doesn't have a measurement it's
12.0 + 6.1 = 18.1
so
all sides are :
19.6+17.2+15.7+18.1=
70.6 <- which is the answer
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Does anyone know the answer to this ?
if the point D (8, -5) is reflected over the x-axis, the coordinates of D’ would be
The image of the point after the reflection across the x-axis is (8,5)
How to determine the image of the point?The point is given as:
D = (8,-5)
The rule of reflection across the x-axis is:
(x,y) -> (x,-y)
So, we have:
D' = (8,5)
Hence, the image of the point after the reflection across the x-axis is (8,5)
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Look at the following sequence.
54, 36, 24, 16, . . .
If it is a geometric sequence, choose the common ratio. If it is not a geometric sequence, choose “not geometric.”
Answer:
[tex]r \: = \: \boxed{ \bold{\frac{2}{3} }}[/tex]
Step-by-step explanation:
Calculate the ratio of the progression by dividing a term of it by the immediately preceding one.[tex]r \: = \: \frac{36}{54} \\ \\ r \: = \: \frac{24}{36} \\ \\ r \: = \: \frac{16}{24} [/tex]
We simplify the fractions:[tex]r \: = \: \frac{2}{3} \\ \\ r \: = \: \frac{2}{3} \\ \\ r \: = \: \frac{2}{3} [/tex]
Since the ratio is the same, that is the common ratio.
MissSpanishHelp now!!!!!!
the scale factor of the larger of two similar rectangular prisms is 1/8. the surface area of the larger prism is 740 ft2. identify the surface area, rounded to the nearest tenth, of the smaller prism
Answer:
11.6 ft²
Step-by-step explanation:
We assume the 1/8 scale factor is the ratio of the linear dimensions of the smaller of the prisms to the larger. The ratio of areas will be the square of the ratio of the linear dimensions.
__
The ratio of areas will be ...
smaller area / larger area = (scale factor)²
smaller area = (larger area)×(scale factor)² . . . multiply by the denominator
smaller area = (740 ft²) × (1/8)² = 11.5625 ft² . . . use given values
The surface area of the smaller prism is about 11.6 square feet.
After deducting 10% provident fund a married person draws Rs 40,500 salary per month and one month's salary as festival bonus, the person pays Rs 14,500 annually as the premium of his/her insurance. Calculate the annual income tax paid by the person.
Need correct answer
The annual income tax paid by the person is: $4,500.
Annual income taxUsing this formula
Annual income tax=[Salary÷(1-percentage deduction)]- Salary
Let plug in the formula
Annual income tax=[40,500÷(1-10%)]-40,500
Annual income tax=45,000-40,500
Annual income tax=4500
Therefore the annual income tax paid by the person is: $4,500.
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help please ! will give brainle <3
Answer:
55 percent
Step-by-step explanation:
simply add all the teams you get a 1.00 turned to percent its a 100 percent probability
then simply add the team 6 7 and 8 you get .45 turned into percent is 45 percent
them subtract 100-45 you get 55 percent that a team not from River City will win
please help!!!!!!!!!
All the valid statements are,
⇒ Statement 1; By definition of parallel lines
⇒ Statement 3; Because of alternate interior angle theorem.
⇒ Statement 4; Because it is linear
⇒ Statement 5; because of substitution
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Mr. Hussey prove that the sum of interior angle of triangle is 180 degree.
Now, For all the statements al the correct postulate are,
⇒ Statement 1; By definition of parallel lines
⇒ Statement 3; Because of alternate interior angle theorem.
⇒ Statement 4; Because it is linear
⇒ Statement 5; because of substitution
Thus, All the valid statements are,
⇒ Statement 1; By definition of parallel lines
⇒ Statement 3; Because of alternate interior angle theorem.
⇒ Statement 4; Because it is linear
⇒ Statement 5; because of substitution
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-2 1/2*3 1/3=
What does this equal to
Answer:-8.3
Step-by-step explanation:-8.3
Answer:
-8.3333333333
Step-by-step explanation:
First you want to start by multiplying (-2) * 3.
Next you want to multiply 1/2 * 1/3
Finally you add you answers together to get what you need.
Also this was very very very easy so go to summer school if you are this dum.
Fill in the blank. using decimals write the number 348.562 in expanded form:
348.562 =
Answer / Step-by-step explanation:
(300.500+40.60+8.2)=348.562
The odds of an event happening are
What are the odds against the event happening?
Answer:
The odds of an event happening depend on the situation so it is really difficult to tell what the odds would be.
Step-by-step explanation:
Select the correct answer from the drop-down menu.
A classroom monitors chicken eggs in various temperatures. The table shows the class's recorded results. Using the data in the table, a conclusion is made by calculating probabilities related to a randomly selected egg.
Cool Room Temperature Warm Total
Hatched 5 16 21 42
Unhatched 18 10 4 32
Total 23 26 25 4
Based on the information, which statement about the eggs is correct?
Given the egg has
hatched
, the egg was kept warmer than room temperature.
3. Combine like terms and apply the
distributive property to create an
equivalent expression.
6y + 2(3x + 5) + 2y + 3 =
8r+ 3r² + 6r² + 2r + r=
Step-by-step explanation:
6y + 2(3x + 5) + 2y + 3 = 8r + 3r² + 6r² + 2r + r
6y + 6x + 10 + 2y + 3 = 9r² + 11r
8y + 6x + 13 = 9r² + 11r
Which of the following statements are true of the hypotenuse of a right triangle?
Its length is the sum of the lengths of the other two sides.
It is one of the legs.
It is the longest side of a right triangle.
It is opposite the right angle.
It forms a right angle with an adjacent side.
Answer:
It is the longest side of a right triangle.
Step-by-step explanation:
Hope this helps!
If not, I am sorry.
Solve for x:
-(x + 2.1) = -4.8 -0.9(-10x + 5) + 10x
Answer:
the answer is x=0.36. (-20x=-7.2) divided by -20 equals to x=.36
Layna can paint a 350-square foot room in 4 hours. It takes Bebe 7 hours to paint the same room. Which equation can be used to find the time in hours, t, it takes Layna and Bebe to paint the room together?
Rate
(Rooms per Hour)
Time
(Hours)
Fraction Completed
Layna
One-fourth
Bebe
One-seventh
One-fourth t + one-seventh t = 1
One-fourth t times one-seventh t = 1
4 t + 7 t = 1
4 t minus 7 t = 1
The equation can be used to find the time in hours, [tex]\dfrac{t}{4}+\dfrac{t}{7}=1[/tex] and the time will be 2.5 hours. So the correct answer is option A.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Layna can paint a 350-square-foot room in 4 hours.It takes Bebe 7 hours to paint the same room.
Let t be the total time taken by both to paint.They are completing 1 job so the equation will be :
[tex]\dfrac{t}{4}+\dfrac{t}{7}=1[/tex]
Further solving it we get;
7 t + 4 t = 28
11t = 28
t = 2.5 hours.
Therefore the equation can be used to find the time in hours, [tex]\dfrac{t}{4}+\dfrac{t}{7}=1[/tex] and the time will be 2.5 hours. So the correct answer is option A.
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Please Help!!!! Someone who actually knows how to do this, no guessers I only have one more attempt. I can’t figure out the answer and if I don’t get it right I won’t get my credit recovery. I already eliminated 2 answers.
Answer:
4
Step-by-step explanation:
A fundamental theorem of algebra, the degree of a polynomial is the maximum number of roots the polynomial has.
The degree of the polynomial s 4 so it has 4 roots.
what is the value of y in this triangle?
Answer:
26 degrees.
Step-by-step explanation:
The angles of triangles will always add up to 180 degrees.
The first angle is 50 degrees.
The second angle, is shown with a 76 degree angle next to it.
Since this is a 180 degree line, we can find the angle of the bottom right corner by doing 180 - 76. 180 - 76 is 104.
104 + 50 = 154 degrees.
The remaining 26 degrees is the answer to the value of y.
The diagonals of a trapezoid are 15 cm and 13 cm. The height is 12 cm. Find the area of the trapezoid.
Answer:
the area is 168
Step-by-step explanation:
the formula for trapezoids is a+b/2 multiplied by the height
Select the correct word to describe the function. the equation y = startfraction 5 x cubed over 8 endfraction represents function. the equation y = 6 + 0.25 ln x represents function. the equation y = startfraction 18 over 1 + 6 e superscript negative 0.25 x baseline endfraction represents function. the equation y = 5x3 + 8 represents function.
The functions and their descriptions are:
Polynomial: [tex]y = \frac{5x^3}{8}[/tex] and [tex]y = 5x^3 + 8[/tex]Logarithm: [tex]y = 6 + 0.25\ln(x)[/tex]Exponential [tex]y = \frac{18}{1 + 6e^{-0.25x}}[/tex]How to describe the functions?The functions are given as:
[tex]y = \frac{5x^3}{8}[/tex]
[tex]y = 6 + 0.25\ln(x)[/tex]
[tex]y = \frac{18}{1 + 6e^{-0.25x}}[/tex]
[tex]y = 5x^3 + 8[/tex]
The functions would be described based on the type of function they represent.
Functions that use the "ln" keyword are logarithmic functions, while functions that use the "e" keyword are exponential functions.
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Answer:
Select the correct word to describe the function.The equation represents ✔ a powera logistica logarithmican exponential function.The equation y = 6 + 0.25 ln x represents X a logistica polynomial✔ a logarithmican exponential function.The equation represents a power✔ a logistica polynomiala logarithmic function.The equation y = 5x3 + 8 represents a powera logistic✔ a polynomialan exponential function.
Step-by-step explanation:
you are so welcome
(x - 6)². Multiply it and simplify it
Answer:
x^2-12x+36
Step-by-step explanation:
The first step in solving this equation is to expand the square which makes the equation (x-6)(x-6). Then you distribute the x to both parentheses which leaves you with x^2-6x, and then you distribute the 6 to both parentheses which gives you 6x+36. Then add both binomials which leaves you with x^2-12x+36. The reason it is +36 and not -36 is because you are multiplying a negative 6 by another negative 6.
A airplane can hold 62 gallons of diesel.For each kilogram traveled, the airplane used 1/15 of kilograms of diesel. How far can the airplane go before it runs out of diesel?
The distance the airplane can travel before it runs out of diesel is 15.67.
What is the distance the plane can travel?The first step is to convert gallon to kilogram
1 gallon = 3.79 kg
62 x 3.79 = 234.98 kg
Now, divide 234.98 by 15.: 234 . 98 / 15 = 15.67 kilogram
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Solve for x. Round your answer to the nearest tenth if necessary.
Answer: 8.8
Step-by-step explanation:
Because [tex]\angle S \cong \angle S[/tex] by the reflexive property, we know that [tex]\triangle STU \sim \triangle SQR[/tex] by AA.
So, by the triangle proportionality theorem,
[tex]\frac{x}{5.3}=\frac{11.1}{6.7}\\x=(11.1/6.7)(5.3) \approx \boxed{8.8}[/tex]
Given f (x) = -3 + 5, solve for x when f (x) = -4
The value of x when f(x) = -4 is 3
How to solve the function?The function is given as:
f(x) = -3x + 5
When f(x) = -4, we have:
-4 = -3x + 5
Subtract 5 from both sides
-3x = -9
Divide both sides by -3
x = 3
Hence, the value of x when f(x) = -4 is 3
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Answer:
x = 3
Step-by-step explanation:
Hello!
Think of this as a linear equation: y = -3x + 4.
If f(x) = -4, it means that y = -4.
Plug in the value for y and solve for x.
Solvef(x) = -3x + 5y = -3x + 5-4 = -3x + 5-9 = -3x3 = xThe value of x is 3.