Which of the following are quadratic functions?

Check all that apply.


a. y=2(x-3x^2+1)
b. y=5+2x
c. y=1/2x^2-13x+4
d. y= x/x-1 Which of the following are quadratic functions?

Check all that apply.


a. y=2(x-3x^2+1)
b. y=5+2x
c. y=1/2x^2-13x+4
d. y= x/x-1

Answers

Answer 1
y=2(x-3x^2+1) and if it's a multiple choice I'd also choose y=1/2x^2-13x+4


Answer 2

Final answer:

The quadratic functions are: y = 2(x - 3x² + 1), y = 1/2x² - 13x + 4, and y = 1.

Explanation:

A quadratic function is a polynomial function of degree 2, which means its highest power of x is 2. The general form of a quadratic function is y = ax^2 + bx + c, where a, b, and c are constants.

Out of the given options, the quadratic functions are:

a. y = 2(x - 3x² + 1)

c. y = 1/2x² - 13x + 4

d. y = x/x - 1 (this can be simplified to y = 1)

The options b. (y = 5 + 2x) is not a quadratic function because it only has a linear term (power of x is 1).


Related Questions

Fernando purchased 1 pound of dried cranberries and 4 pounds of almonds to make a trail mix. Cranberries cost $4 per pound and almonds cost $5 per pound. What is the price per pound of the trail mix?

Answers

it would be 1*4=4  4*5=20 so then you would add 1+20=21
1 lb cran: 4
4 lb alm: 20
24 dollars for 5 lb
24/5 is 4.8
$4.80 per lb

170 percent converted to a fraction equals: ...?

Answers

After finding the simplest form by dividing 100 the fraction equivalent to 170 percent we get 17/10.

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means.

Here we have to convert:

170 percent into a fraction

Divide it by 100 to condert into fractions,

170/100

Divide both the numerator and denominator by 10

17/10

Since 17 and 10 are co-primes,

Therefore, it is in simplest form.

Hene,

The fraction 17/10 is equivalent to 170%.

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One more and I should be good, i'm pretty familar with this but i'd like to make sure,

Two brothers, Bill and Eric, are 4 years apart, and Bill is the older of the two. If the sum of the boys' ages is 28, how old is bill and how old is eric?

Both boys age is unknown, yet we can mark both with say,
x = Eric's age
y = Bills' age

There are many ways to solve this, but we DO know they're 4 years apart, so it'd have to be
x + y4 = ?,

actually that's off but you understand what i'm saying... Thanks!

Answers

I hope this helps you

how are the integers and rational numbers different? ...?

Answers

Integers: Whole numbers and the opposites of whole numbers. 

Rational Numbers: Numbers that can be written as a fraction (or ratio) of two integers. 


Suppose that alpha and beta are int variables. The statement alpha = beta--; is equivalent to the statement(s) ____.
a. alpha = 1 - beta;
b. alpha = beta - 1;
c. beta = beta - 1;
alpha = beta;
d. alpha = beta;
beta = beta - 1

Answers

d. The unary postfix decrement operator, when used in an expression, decrements the value of its operand but has the old value of the operand.

a cinder block is sitting on a platform 20 high. lt weighs 79n. The block has_____ energy. calculate it.

Answers

A cinder block is sitting on a platform 20 m high. It weighs 79 N. The block has Gravitational Potential Energy.

Calculations:
Ep = mgh = mg = Fg
Ep = (Fg)(h)
Ep = (79N)(20 m)
Ep = 1580 J.

I believe the block's potential energy with respect to gravity is 1580 J.

What is 20 + 10? (Nobody answer this)

Answers

30. 30 is the answer to this question.












1 way to solve this is:
Remove the zeros and add normally. Then add 1 zero next to the answer.
Another way: 
Add 20+10.

Answer: 30

The height of the Empire State Building is 318.00 meters. If a stone is dropped from the top of the building, what is the stone's velocity just before it strikes the ground?

Answers

The height of the Empire State Building is 318.00 meters. If a stone is dropped from the top of the building, what is the stone's velocity just before it strikes the ground? 

Answer: In order to find the stone’s velocity just before it strikes the ground we will use one of the free fall equations. V = √(2gh). We already have the values needed which are the gravity (9.8 m/s2) and our total height (318 meters). All you have to do is solve for V. You should get 78.95 m/s. 

What is the difference? -2/15 -(-9/15)
a.-11/15
b. -7/15
c. 7/15
d. 11/15

Answers

-2/15-(-9/15)=-2/15+9/15=9/15-2/15=7/15
the answer is C

Let p: The integer has one digit.
Let q: The integer is less than 10.
Which represents "The integer has one digit if and only if the integer is less than 10”?

p ∨ q
p ∧ q
p → q
p ↔ q

Answers

Answer:

p ↔ q

Step-by-step explanation:

Given :

Let p: The integer has one digit.

Let q: The integer is less than 10.

To Find:Which represents "The integer has one digit if and only if the integer is less than 10”?

Solution:

1. p ∧ q denotes “p and q”

2.p ∨ q denotes “p or q" (or both)

3.p → q denotes “if p then q”

4. Biconditional p ↔ q denotes “p if and only if q"

Thus Biconditional p ↔ q represents "The integer has one digit if and only if the integer is less than 10”

Hence Option D is correct p ↔ q

Use the Laplace transform to solve the given initial value problem. y' + 6y = e^4t ; y(0)=2 ...?

Answers

Final answer:

The Laplace transform method is applied to solve the differential equation y' + 6y = e^4t with the initial condition y(0)=2. After transforming, simplifying, and solving for Y(s), we use inverse Laplace transform to find the solution y(t) in the time domain.

Explanation:

Laplace transform is a powerful tool in the field of mathematics used for solving differential equations. To solve the given initial value problem y' + 6y = e^4t ; y(0)=2, we can start by taking the Laplace transform of both sides of the equation.

The Laplace transform of y' is sY(s) - y(0) and the Laplace transform of y is Y(s). Therefore, the Laplace transform of y' + 6y gives sY(s) - y(0) + 6Y(s). Given that y(0)=2, this simplifies to sY(s) + 6Y(s) - 2.

On the right-hand side, the Laplace transform of e^4t is 1/(s-4). Thus, we have the equation sY(s) + 6Y(s) - 2 = 1/(s-4).

By solving for Y(s), we can find the inverse Laplace transform to get the solution y(t) in the time domain.

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Using the properties of equality to solve the equation -2b + 7 = -13, you would _____.

add 13 and then divide by -2
add 13 and then add 2
subtract 7 and then add 2
subtract 7 and then divide by -2

Answers

Follow PEMDAS in reverse. So you would start off undoing the +7. Which means you subtract 7 from both sides

Then undo the -2 multiplying with the b. So you divide both sides by -2

The final answer is therefore D) subtract 7 and then divide by -2

Final answer:

To solve the equation, firstly subtract 7 from both sides, converting the equation into -2b = -20. Then divide both sides by -2 to find the value of b, which is 10.

Explanation:

To use the properties of equality to solve the given equation, -2b + 7 = -13, follow these steps:

First, isolate the term containing the variable b on one side of the equation. This is done by subtracting 7 from both sides of the equation. The equation becomes -2b = -20.Next, to find the value of the variable b, divide both sides of the equation by -2. So, the final equation becomes b = 10.

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Eric bought 300 t-shirts, which were sold in packs of 12. How many packs did Eric buy?
A) 20
B) 25
C) 28
D) 30

Answers

The answer is B. 25
300 divided by 12 = 25.

Answer is B, 25, because 300 Divided 12 is 25 & 25x12=300.

A population of 240 birds increases at a rate of 16% annually. Jemel writes an exponential function of the form f(x) = abx to represent the number of birds after x years. Which values should she use for a and b?

Answers

An exponential function is :
f ( x ) = a * b^x,
where x is the number of the years.
a = 240   ( number of the birds at start )
16 % = 0.16
b = 1 + 0.16 = 1.16
f ( x ) = 240 * 1.16^x
Answer:
a = 240,   b = 1.16

Answer:

Hence the values of a and b are given by:

a=240

and b=1.16.

Step-by-step explanation:

It is given that:

A population of 240 birds increases at a rate of 16% annually.

i.e. the initial population of birds is 240.

Also they are increasing at a rate of 16% =0.16.

Hence, it clearly implies that the growth is exponential and the function that represents the population of the birds after x years is given by:

[tex]f(x)=240\times (1+0.16)^x\\\\\\f(x)=240\times (1.16)^x[/tex]

Hence, on comparing our function with the exponential function:

[tex]f(x)=ab^x[/tex]

we have:

a=240

and b=1.16.

4(x+3)=20
Help? Solve the equation

Answers

4x + 12= 20
 4x= 20-12
4x= 8
x= 8/4 = 2
     
4(x+3)=20
multiply 4 time x and 4 time 3 
4x+12=20
then you subtract 12 to 20 and is 8
4x=8 
then you divide 8 by 4 and i 
x=2

The surface area of two similar solids are 340yd^2 and 1,158yd^2. The volume of the larger solid is 1,712yd^2. What is the volume of the smaller solid? ...?

Answers

the ratio of the areas is 340/1158 = 170/579thus the ratio of the side lengths is sqrt(170)/sqrt(579)  = .5418the ratio of volumes is the side length ratio cubed = .5418^3 = .159Volume of smaller solid  = (.159)(1712) = 272.37

Jim earns $1,600 per month after taxes. He is working on his budget and has the first three categories finished.

Housing $576
Food $272
Transportation $320

Why will he have a problem with the rest of his budget?

He is budgeting too much for transportation.

He has used the highest recommended percentages to calculate the amounts for the three categories.

He is budgeting too much for housing.

He has used the lowest recommended percentages to calculate the amounts for the three categories.

Answers

He has used the lowest recommended percentages to calculate the amounts for the three categories.

When budgeting, it is useful to use percentages slightly higher than the minimum to compensate for uncertainties. 

B.

He has used the highest recommended percentages to calculate the amounts for the three categories.

Simplify (4xy^-2)/(12x^(-1/3)y^-5) and Show work ...?

Answers

The answer is [tex]\frac{x^{4/3}y^{3}}{3} [/tex].

The fraction is: [tex] \frac{4xy^{-2} }{12 x^{-1/3} y^{-5} } [/tex]
Let's rewrite it: [tex]\frac{4xy^{-2} }{12 x^{-1/3} y^{-5} }=\frac{4 }{12 }*\frac{x }{ x^{-1/3} }*\frac{y^{-2} }{ y^{-5} }[/tex]

Since [tex] \frac{x^{a} }{x^{b}} =x^{a-b} [/tex],
then:
*** [tex]\frac{x}{ x^{-1/3} }= x^{1-(-1/3)} = x^{3/3+1/3} = x^{4/3} [/tex]
*** [tex]\frac{y^{-2} }{ y^{-5} }= y^{-2-(-5)} = y^{-2+5} = y^{3} [/tex]
______
[tex]\frac{4 }{12 }*\frac{x }{ x^{-1/3} }*\frac{y^{-2} }{ y^{-5} }= \frac{1*4}{3*4}* x^{4/3}*y^{3}= \frac{1}{3} * x^{4/3}*y^{3}= \frac{x^{4/3}y^{3}}{3} [/tex]

Write the number 7/10 as a decimal and describe the process

Answers

The decimal is 0.7
We got the answer by doing
7 divide 10

I hope this helps you :)

What is the middle term of the product of (5a - 7)(2a - 1)?



-4a
-19a
-24a

Answers

I hope this helps you
(5a - 7)(2a - 1)
= 10a² - 14a - 5a + 7
= 10a² - 19a + 7

Middle term = -19a

What is 1036.50 rounded the the nearest whole number?

Answers

1037 is the whole number estimate

Explain why all linear angle pairs must be supplementary, but all supplementary angles do not have to be linear pairs?

Answers

Two angles are supplementary if their measures sum 180°.

Linear angle pairs are adjacent angles (they are together) and they form a straight angle, which is 180°. Therefore, they are supplementary.

But two angles may be separated and yet add 180°, then they are supplementary but are not linear angle pairs.

Final answer:

Linear angle pairs are always supplementary and formed by intersecting lines, while supplementary angles can be any two angles that add up to 180 degrees.

Explanation:

In mathematics, linear angle pairs are formed by two adjacent angles that add up to 180 degrees. This is known as supplementary angles. Linear angle pairs always occur when two lines intersect, creating opposite angles or a straight angle, such as in the case of a triangle.

On the other hand, supplementary angles do not have to be linear pairs. Supplementary angles are any two angles that add up to 180 degrees, regardless of their position or relation to each other. They can be adjacent angles, non-adjacent angles, or angles across parallel lines.

For example, two angles measuring 60 degrees and 120 degrees are supplementary angles but not a linear pair, since they are not adjacent to each other or formed by intersecting lines.

Is the ordered pair a solution to the system of linear equations?

Select Yes or No.

Ordered pair: ​(−2,2)(−2,2)​

System of equations:

​−7x+2y=0
6x+6y=0

Answers

​-7x + 2y = 0
6x + 6y = 0
​ordered pair: (−2,2)

the way to figure out if that ordered pair is a solution is pretty simple, you just plug the ordered pair into both equations, and check if the outcome is true.

​-7(-2) + 2(2) = 0
14 + 4 = 0
18 = 0 is NOT true, so this isn't a solution. still, check your second equation as well.

6x + 6y = 0
6(-2) + 6(2) = 0
-12 + 12 = 0

for this equation, it is a solution. however, because the solution must apply to the system as a whole, and not just one of the equations, the ordered pair still is not a solution.

Which of the following are equivalent to the function y = 4cos x - 2? Check all that apply.
A. y = -4cos x + 2
B. y = 4sin(x +π/2 ) - 2
C. y = 4sin(x - π/2) - 2
D. y = 4cos(-x) - 2 ...?

Answers

Out of the given options, B (y = 4sin(x +ext{ extpi}/2 ) - 2) and D (y = 4cos(-x) - 2) are equivalent to the function y = 4cos x - 2, due to trigonometric identities and properties.

To determine which of the given options are equivalent to the function y = 4cos x - 2, we need to look at trigonometric identities and properties of cosine and sine functions.

Option A: y = -4cos x + 2 is not equivalent since it represents a reflection in the x-axis followed by a vertical shift, which alters the original function's graph completely.Option B: y = 4sin(x +rac{ext{extpi}}{2}) - 2 is equivalent because of the co-function identity sin(x +  rac{ext{ extpi}}{2}) = cos x, which makes the functions identical.Option C: y = 4sin(x -  rac{ext{extpi}}{2}) - 2 is not equivalent because sin(x -  rac{ext{extpi}}{2}) is not equal to cos x.Option D: y = 4cos(-x) - 2 is equivalent due to the even property of the cosine function, which states that cos(-x) = cos x.

What is the average rate of change of the function f(x)=2(3)^x from x = 2 to x = 4?

Answers

The average rate of change of the given function will be 72.

What is the average rate of change of the function?

It quantifies how much the function changed per unit on average throughout that time interval. The slope of the straight line connecting the interval's ends on the function's graph is used to calculate it.

The given function is f(x)=2(3)ˣ and the interval is x ∈ [2,4].

The formula to calculate the average rate of change is (f(b)-f(a))/(b-a).

Here, a = 2 and b = 4

So,f (2) = 2.3² = 18

Now,f (4) = 2.3⁴ = 162

The average rate of change = (162 - 18)/(4 - 2)

The average rate of change = 144/2

The average rate of change = 72

Therefore, the average rate of change of the given function will be 72.

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The average rate of change of the function f(x) = 2(3)ˣ from x = 2 to x = 4 is 72. This means the secant line that intersects the graph of the function at x = 2 and x = 4 has a slope of 72.

Step 1: Formula for Average Rate of Change

The average rate of change of a function f(x) over the interval [a, b] is calculated using the following formula:

Average rate of change = (f(b) - f(a)) / (b - a)

where:

f(b) is the function's value at the upper bound (x = 4 in this case).f(a) is the function's value at the lower bound (x = 2 in this case).b is the upper bound of the interval (x = 4).a is the lower bound of the interval (x = 2).

Step 2: Find f(b) and f(a)

We are given the function f(x) = 2(3)ˣ . Let's find the function's values at x = 4 (upper bound) and x = 2 (lower bound):

f(4) = 2(3)⁴ = 2 × 81 = 162f(2) = 2(3)⁴ = 2 × 9 = 18

Step 3: Calculate the Average Rate of Change

Now that we have f(b) and f(a), we can plug them into the formula along with the interval's bounds:

Average rate of change = (f(4) - f(2)) / (4 - 2)Average rate of change = (162 - 18) / (2)Average rate of change = 144 / 2Average rate of change = 72

60% of what number is 13.5?

Answers

You do 13.5 ÷ 6 which is 2.25, and then you multiply by 10 to get 22.5. Hope this helps! Let me know if you have any questions :)

The required, 60 percent of 22.5 is equal to 13.5, as of the given condition.

What is percentage?

The percentage is a way of expressing a fraction or a decimal number as a portion of 100. It is denoted by the symbol '%'. For example, the percentage of 0.75 can be calculated as 0.75 x 100% = 75%. In other words, we are expressing 0.75 as a fraction of 100.

Here,
To find out what number 60% of is equal to 13.5, we can use algebra. Let x be the number we are looking for. Then we can write:

60% of x = 13.5

We can convert 60% to a decimal by dividing by 100:

0.6x = 13.5

Finally, we can solve for x by dividing both sides of the equation by 0.6:

x = 13.5 ÷ 0.6

x = 22.5

Therefore, 60% of 22.5 is equal to 13.5.

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write an explicit formula for sequence
The Given Sequence is..
3,-6,12,-24..

Answers

3.(-2)=-6
(-6).(-2)=12
12.(-2)=-24
.
.
.
q=-2
---------------
a(n)=a(1).q^(n-1)
a(n)=3.(-2)^(n-1)

1735/1000 is what in decimal form

Answers

To write 1735/1000 as a decimal you have to divide numerator by the denominator of the fraction. 
We divide now 1735 by 1000 what we write down as 1735/1000 and we get 1.735 1735/1000 as a decimal equals 1.735

Three interior angles of a quadrilateral measure 55°, 117°, and 120°. What is the measure of the fourth interior angle?

68°
78°
88°
98°

Answers

We know the sum of all the angles in a quadilateral is equal to 360. so,
it would be: 360 - (55+117+120)

 = 360 - 292
 = 68 degrees

So, option A is your answer.

Hope this helps!

The measure of the fourth interior angle of the given quadrilateral is: B. 68°

What is the Sum of a Quadrilateral?

The sum of all the interior angles of a quadrilateral equals 360 degrees.

The given interior angles of the quadrilateral are: 55°, 117°, and 120°

The measure of the fourth interior angle = 360 - 55 - 117 - 120

The measure of the fourth interior angle = 68 degrees.

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If f(x) = 8, what is f(x) when x = 10? 4 9 13 36

Answers

Final answer:

If f(x) = 8, then f(x) when x = 10 is also 8, because the function's value is constant for all x.

Explanation:

If the function f(x) is defined as f(x) = 8 for all values of x, then regardless of the value we substitute for x, the function's output remains constant at 8. So when x = 10, the value of f(x) is still 8. This is an example of a horizontal line on a graph where the y-value does not change regardless of the x-value. In terms of probability, if we're dealing with a continuous probability distribution where f(x) is a constant, then to find P(0 < x < a), we would simply evaluate the integral of f(x) over the interval from 0 to a. However, given that in this case f(x) is not a probability density function and is a constant value, P(x) would not be applicable.

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