Mathematics High School

Which equation is not a quadratic equation?
y = 3x2 + 2
y = 5x - 2
y = -x2
y = 5x2 - 2x + 7

Answers

Answer 1
A quadratic equation is usually in the form:

[tex]ax^{2} +bx +c[/tex]

where a, b and c are the coefficients of the expression and a ≠ 0. 

If a = 0, the equation becomes a linear expression and is no longer quadratic.

Hence, in the above options; y = 5x -2 is the only one that is not a quadratic equation.

Related Questions

Write the complex number in polar form. express the argument in degrees. 4i
a. 4(cos 0° + i sin 0°)
b. 4(cos 270° + i sin 270°)
c. 4(cos 90° + i sin 90°)
d. 4(cos 180° + i sin 180°)

Answers

In analytical geometry, there are two types of roots: real roots and complex roots. Imaginary roots are those with the term 'i'. These are complex numbers that can be found on the number line, thus they are called imaginary. The term 'i' is equal to the expression √(-1). So when you solve these equations, just treat the complex numbers as is they are variables.

The only way to solve these is to test each choice such that its final answer would be 4i. These are important equivalents to know:

sin 0° = 0                   cos 0° =1
sin 90° =1                   cos 90° =0 
sin 180° =0                 cos 180° = -1
sin 270° = -1                cos 270° = 0

Using these values, let's simplify each choise.

A. 4(1 + i (0)) = 4
B. 4(0 + i (-1)) = -4i
C. 4(0 + i (1)) = 4i
D. 4((-1) + i (0)) = -4

The answer is C.

Final answer:

The complex number 4i in polar form is 4(cos 90° + i sin 90°), which matches choice (c). The magnitude is 4, and the argument is 90° since 4i lies on the positive imaginary axis.

Explanation:

To convert the complex number 4i to polar form and express the argument in degrees, we should consider the general polar form of a complex number which is r(cos θ + i sin θ), where r is the magnitude (modulus) and θ is the argument of the complex number. The complex number 4i has a real part of 0 and an imaginary part of 4. Therefore, its magnitude is 4 and it lies on the positive imaginary axis. In the complex plane, this corresponds to an angle of 90° or 270° from the positive real axis. Since it is on the positive imaginary axis, the correct angle is 90°.

The correct polar form of the complex number 4i is 4(cos 90° + i sin 90°), which corresponds to choice (c).

Which of the following steps could be used as a shortcut method to multiply 12 by 50

Answers

Multiply 12 by 100, then divide that result by 2
I don't think you have attached the options, but I'll show you a shortcut method to solve this anyway (which may or may not be in the multiple choice answers):

1. Compute 12*5 
2. Add a zero at the end of the product


Another way (which is slightly longer):

1. Split 50 into 10*5
2. Multiply 12*5 to get 60
3. Multiply 60*10 to get 600

The area of the trapezoid is 40 square units.

What is the height of the trapezoid? __ Units

Answers

The answer is 5. The formula for area of trapezoid is A=a+b/2*h
When you input 40 for A and 6 for a and 10 for b, then you should get 5
hope this helps:))

we know that

The area of a trapezoid is equal to

[tex]A=\frac{1}{2}(b1+b2)h[/tex]

where

b1 and b2 are the parallel bases of the trapezoid

h is the height of the trapezoid

In this problem we have

[tex]b1=6\ units\\b2=10\ units\\A=40\ units^{2}[/tex]

substitute in the formula

[tex]40=\frac{1}{2}(6+10)h[/tex]

Solve for h

[tex]40*2=16h[/tex]

[tex]h=80/16=5\ units[/tex]

therefore

the answer is

The height of the trapezoid is [tex]5\ units[/tex]

Find the derivative of f(x) = (1 + 6x2)(x − x2) in two ways.

Answers

Using product rule;

f(x)=(1+6x²)(x-x²)

f'(x)=(12x)(x-x²) + (1-2x)(1+6x²) = 12x² -12x³ +1 +6x² -2x -12x³ = -24x³ +18x² -2x +1

Solving the bracket first;

f(x)=(1+6x²)(x-x²) = x -x² +6x³ -6x^4

f'(x)= 1 -2x +18x² -24x³ = -24x³ +18x² -2x +1

A driver's education course compared 1,500 students who had not taken the course with 1,850 students who had. Of those students who did not take the driver's education course, 1,150 passed the written driver's exam the first time compared with 1,440 of the students who did take the course. A significance test was conducted to determine whether there is evidence that the students who took the driver's education course were more likely to pass the written driver's exam the first time. What is the p-value for an appropriate hypothesis test?

1
0.7895
0.4209
0.2105
0
(I chose .4209 after using a 2-PropZTest. I need some help checking. An explanation if I'm wrong would be great)

Answers

I believe the answer is 0.2105 and the error you made of saying 0.4209 was because you did a 2-PropZTest when this question seems to be asking for one proportion (not two). When the p value is greater than or less, use one-proportion, if it is "!=" not equal than it is two-proportion. Please let me know if this was correct.

Answer:

0.2105

Step-by-step explanation:

Its correct

What is the common ratio in the sequence -27, 9, -3, 1....?

A. 3

B. -3

C. 1/3

D. -1/3

Answers

the answer would be 3.hope that helped
find the common ratio, u divide the second term by the first term
9/-27 = -1/3

to find the next term in a geometric sequence, u multiply by the common ratio....
-27 * -1/3 = -27/3 = 9
9 * -1/3 = -9/3 = -3
-3 * -1/3 = -3/-3 = 1


An equilateral triangle has sides of length s. If each side is increased by 3​, represent the new perimeter in terms of s.

Answers

perimeter = s+3+s+3+s+3

= 3s + 9

If AB is the midsegment, find the value of x. Show your work.

Answers

Mid segment means half the segment, so: 3x-1=34/2=17, 3x =18, x =6. Hope it helps

3x-1=34/2

=17

3x =18, x =6

The highest temperature recorded in the town of Westgate this summer was 180°F. Last winter, the lowest temperature recorded was -15°F.

Find the difference between these two extreme temperatures.

Answers

195 degrees
Good luck and have nice day.

Consider the following function: f(x)= 25-x^2/x^2-4x-5 Which of the following are correct? Check all of the boxes that apply.

-m not equal to n
-m is equal to n
-There is only one vertical asymptote.
-y = –1 is the horizontal asymptote.

Answers

Answer:    B, C, and D

Step-by-step explanation:

Just did it and got the answers wrong so these are the correct ones

Answer:

B, C, D

Step-by-step explanation:

-m is equal to n

-There is only one vertical asymptote.

-y = –1 is the horizontal asymptote.

What is the lateral area of the drawing?


A. 425 km2
B. 1021 km2
C. 200 km2
D. 114 km2

Answers

Each side is an isosceles trapezoid, so ED=2 since you would need to add 2 to each end of the bottom line to get the top line. Now use Pythagorean Theorem to get ED^2+AD^2=AE^2. Plug in your numbers to solve for AE. This is the height of each trapezoid. Then use your formula for the area of a trapezoid, (B1+B2)h/2, to get the area of each side, then multiply by 4 to get the lateral area since there are 4 sides. Remember lateral area is just the sides, then surface area is when you include the area of the two bases. 

Answer:  Option 'D' is correct.

Step-by-step explanation:

Since we have given 4 trapeziums with parallel sides :

[tex]a=8\ km\\b=4\ km[/tex]

For height 'h'. we will consider the right angled triangle with

Perpendicular = 4.3 km and base = 2 km ,

We need to find the hypotenuse:

[tex]H^2=B^2+P^2\\\\H^2=2^2+4.3^2\\\\H^2=4+18.49\\\\H=\sqrt{22.49}\\\\H=4.742\ km[/tex]

Now, Lateral surface area of the figure = 4 × Area of trapezium

[tex]4\times \frac{1}{2}\times (8+4)\times 4.742\\\\=113.81\ km^2\\\\=114\ km^2[/tex]

Hence, Option 'D' is correct.

Which expression is right!!!!!! help me!!!!! Help!!!!

Answers

area of a triangle is 1/2 x base x height

c would be the base and x is the height

 so 1/2cx is the expression needed

A rectangular prism has a length of 8 feet, a width of 3 feet, and a height of 5 feet. What is the surface area of the rectangular prism?

Answers

surface area = 2(wl +hl+hw)

w=3

l=8

h=5

wl=3*8 =24

hl=5*8 =40

hw=5*3 =15

24+40+15 = 79

2*79 = 158 feet^2

The surface area of the rectangular prism is 158 square feet.

What is surface area?

The surface area of any given object is the area or region occupied by the surface of the object.

Formula for finding the surface area of rectangular prism:

Surface Area = 2{(h × l) + (h × w) +(l × w)]

Where,

l is the length of the rectangular prism

h is the  height of the rectangular prism

w is the width of the rectangular prism

According to the given question

Length of the rectangular prism = 8 feet

width of the rectangular prism = 3feet

height of the rectangular prism = 5 feet.

Therefore,

the surface area of the rectangular prism = 2[(8 × 5)+ ( 5 × 3) + ( 8 × 3)]

surface area of rectangular prism = 2[ 40 +15 +24} = 158 square feet.

Hence, the surface area of the rectangular prism is 158 square feet.

Learn more about the surface area of rectangular prism here:

https://brainly.com/question/14987814

#SPJ2

The scores for today’s math quiz are 75, 95, 60, 75, 95, and 80. Explain the steps needed to create a histogram for the data

Answers

Answer: Determine what should go on each axis. Grades will go on the x-axis, and the number of students will be plotted on the y axis. Find the number of different scores and range. Choose an interval - say, 10 percent. Find the frequency within each interval. Choose a scale - say, - 0-3. Draw bars the height of the frequency for each interval.


The histogram is defined as the graphical representation of the data points in the given specified range.

The histogram is similar to a bar graph. In the histogram, the data is grouped in logical ranges.

The steps involved in the making of the histogram are:

The vertical axis represents the y-axis. On the y-axis, the score or marks of the quiz will be placed. The interval between the scores is 5. The x-axis is the horizontal axis, on which the relative grades will be put on. The interval, let be 10 percent for the grades. Now, draw the bars to a respective height of the frequency of marks on the y-axis.

Therefore, the histogram is similar to the bar graph, in which the quantitative analysis of the data is done.

To know more about the histogram, refer to the following link:

https://brainly.com/question/17145899

Which of the following are binomials. (more than one answer)
A. x^11
B. 8x
C. x^2+3
D. x^4+x^2+1
E. 5/7y^3+5y^2+y
F. 6x^2+1/2y^2

Answers

C. x^2+3 and D. x^4+x^2+1

its C) x^2+3 and F) 6x^2+1/2y^2 on apex

The measure of arc XYZ is 296 degrees. What is the measure of angle XZW, the tangent-chord angle?

A: 296
B:148
C:116
D:206

Answers

Let O be the center of the circle.

Reflex angle XOZ = 296°
Obtuse angle XOZ = 360° - 296° = 64°
Triangle XOZ is an isosceles triangle.

∴ Angle OZX = (180° - 64°) / 2 = 58°
(Base angle of an isosceles triangle)

Angle OZW = 90°
(Tangent to circumference of circle)

Angle XZW = 90° + 58° = 148°

Answer is B.

How do you solve and graph a piece wise function and state the domain and range?

Answers

for 3)  check the picture, on the right-hand-side

now for 4) check the picture on the left-hand-side

if you notice the intervals, it goes from -∞ and stops at -2, then goes from 2 over to 3, then from 3 onwards, so the domain will also be (-∞ , +∞).

Now, the range...

the 1st subfunction 3-x is just a line coming down form -∞....

the 2nd subfunction is just 2x, also a line going up, now once you get to

the 3rd subfunction is just 5, meaning y = 5, or f(x) = 5, which is just a horizontal line at y = 5.

since the 3rd subfunction goes from x > 3 onwards to +∞, and is just a horizontal line, it doesn't go below 5, so one would think the range is -∞, 5.

however, from the 2nd subfunction if we use say x = -1.9999, 2x ---> 2(-1.9999) = -3.9998 , that's lower than 5, and that's the lowest the piece-wise goes, thus, the range comes from -∞ and goes as low as -3.9998,  (-∞ ,-3.9998]

notice, we didn't use -2, because the 2nd subfunction 2x, doesn't include it in its range -2 < x ⩽ 3.

now, for 4) I used -1.9999 but your teacher might be expecting something like -1 or thereabouts, just an integer amount.  But the idea being, the 2nd subfunction, does not include the -2.

Write equations for the vertical and horizontal lines passing through the point (8, 7).

Answers

Let A(8,7)
that means x = 8  and y = 7.
The vertical line (// to y-axis) passing through A, will have always x = 8,
Then the equation of the vertical line is x = 8

The Horizontal line (// to x-axis) passing through A, will have always y = 7,
Then the equation of the Horizontal line is y = 7

What is the solution to the equation 1 over 2 n = 8?

n = 4
n = 6
n = 10
n = 16

Answers

The answer is:  [D]:  " n = 16 " .______________________________________________
Explanation:
______________________________________________
(1/2) n = 8 ;

Multiply EACH side of the equation by "2" ; to "cancel out" the "(1/2)" on the left-hand-side of the equation; and to isolate "n" on one side of the equation; and to solve for "n" ;
______________________________________________
   2* (1/2) n = 2 * 8  ;
______________________________________________
to get:
______________________________________________
              n = 16  ;  which is:  Answer choice:  [D] .
______________________________________________

Write an appropriate direct variation equation if y = 27 when x = 9

Answers

y = kx where k is a constant

27 = k*9
k = 27/9 = 3

required variation is y = 3x

Answer:  y=3x

Step-by-step explanation:

HELPPPPPPPPPPP Why is the sum of a rational number and an irrational number rational? A. Because the product is always a non- terminating, non- repeating decimal. B. Because the product is always a fraction C. Because the product is always a negative number D. Because the product is always a repeating or a terminating decimal

Answers

The only answer that makes sense is D, as it confirms that there is at least 1 rational number.
I belive the answer is a

The volume of a fish tank is 20 cubic feet. If the density is 0.2 fish over feet cubed, how many fish are in the tank? (1 point)

Answers

density of fish = number of fish / volume 

0.2  = n / 20

n = 20*0.2  =  4

there are 4 fish in the tank.

Answer : The number of fish present in the tank are, 4 fish.

Step-by-step explanation :

As we are given that the volume of a fish tank is 20 cubic feet and density is 0.2 fish over feet cubed.

Now we have to determine the number of fish in the tank.

As, in 1 cubic feet tank the number of fish present in tank = 0.2 fish

So, in 20 cubic feet tank the number of fish present in tank = 20 × 0.2 fish

                                                                                                   = 4 fish

Therefore, the number of fish present in the tank are, 4 fish.

What is the value of y in the product of powers below?

Answers

You're trying to find the value of y that would result in 8^-2. When you multiply terms with the same base, you can add the exponents. 3+-5=-2 and -2-(-2) equals 0, so therefore y is equal to 0.

when multiplying you add the powers

 3 +-5 = -2  so the power for y = 0

Factor 5k 2 - 35k 3.

A. 5k2(1 - 7k)

B. 5k3(1 - 7k)

C. 5k(1 - 7k2)

Answers

Answer:

The correct answer is A) 5k^2(1 - 7k)

Step-by-step explanation:

To factor, take out the greatest common multiple. Each term has a factor of 5 that can be taken out as a constant and k^2 as a variable. Take both of these out and divide each term by that expression.

5k^2(1 - 7k)

its A) 5k^2(1 - 7k) :)

A box with a volume of 40 cubic inches holds 10 balls. A box with a volume of 60 cubic inches holds 15 of the same kinds of balls. Assume the relationship is linear. Which equation models the relationship between the volume, x, and the number of balls y ?

A).y=0.25x+10
B).0.25x
C).y=4x
D).y=4x+60

Answers

Pretend these are coordinates that you can use to find the slope of the line.
(10, 40) and (15, 60). Fit these into the slope formula to find the slope of the line you are looking for:
[tex]m= \frac{60-40}{15-10} [/tex] and the slope is 4. Now use one of the points and the slope of 4 to solve for b, the y-intercept:
40 = 4(10) + b so b = 0.  The equation of the line then is y = 4x + 0 or just
y = 4x

Brett wants to paint the exterior of his two-story home but does not know what length ladder he should buy. The top of his roof is 29 ft above ground level, and (for safety reasons) the ladder should not be at more than an 80° angle from the ground. How long, rounded up to the nearest foot, is the shortest ladder that Brett should buy?

Answers

sin80˚= 29/x; x= 29.44 
so after rounding is 30 ft

Answer:

Brett should buy a ladder of minimum 30 ft length.

Step-by-step explanation:

Brett wants to paint his exterior of a double story home.

Height of the roof of the second story from the ground = 29 feet

Maximum angle between the ground and the ladder should be = 80°

Now from the figure,

sin 80° = [tex]\frac{AB}{AC}[/tex]

0.9848 = [tex]\frac{29}{AC}[/tex]

AC = [tex]\frac{29}{0.9848}[/tex]

AC = 29.45

     ≈ 30 ft

Therefore, Brett should buy a ladder of minimum 30 ft length.

Another name for a dummy variable is a binary variable.a.Trueb.False

Answers

Another name for a dummy variable is a binary variable
a.True

When 23 is subtracted from 4 times a certain number the result is 4

Answers

If we say:
x = the 'certain number' we want to find
Then, we can formulate an equation:
4x - 23 = 4
Now, solve for x:
4x = 27
x = 27/4 = 6.25
Let the unknown number be x.

Given,

4x - 23 = 4

4x = 27

x = [tex] \frac{27}{4} [/tex] = 6.75

Hence, the number is 6.75

The expression 0.01E+0.003E^2 gives the thickness in millimeters (mm) of the insulation needed for a high voltage cable. E is the number of kilovolts carried by the cable. What thickness of insulation material is needed for 7 kilovolt cable?

Answers

To determine the thickness of the insulation, we need a function that would relate the thickness of the insulation to the kilovolt carried by the cable since it is the only value that is given here. From the problem statement, we are given the function which is T = 0.01E + 0.003E^2. To determine the thickness, we simply substitute the value of the kilovolt to the function and solve for the value of T. We do as follows:

T = 0.01E + 0.003E^2 
T = 0.01(7) + 0.003(7)^2
 T = 0.217 mm

Therefore, the thickness of the insulation needed would be 0.217 mm.

Answer: 0.217 mm

Step-by-step explanation:

Is the number of free dash throw attempts before the first shot is missed number of free-throw attempts before the first shot is missed a discrete random​ variable, continuous random​ variable, or not a random​ variable?

Answers

The number of free dash throw attempts before the first shot is missed number of free-throw attempts before the first shot is missed is an example of a discrete random​ variable. A discrete random variable has a probability distribution can give any possible value and the probability of that value in any given data presentation such as graph, table or formula. They are called discrete random variables because they show a specific number of finite or countable infinite values after an event has happened. In here, the number of free throw attempts wit or without missing the first shot can be counted thus making it a discrete random variable.

Answer:

:)

Step-by-step explanation:

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