p(x),f(x),g(x) are parabolas with positive coefficient, each pair of parabolas got common rational root, how to proof that p(x)+f(x)+g(x) have a rational root?

Answer:

Step-by-step explanation:

2x + 3y = 2750

x + y = 1250

where x is student tickets and y is adult tickets

x = 1250 – y

2x = 2500 – 2y

→

(2500 – 2y) + 3y = 2750

2500 + y = 2750

y = 250 →

x + y = 1250

x = 1000

Answer:

The circumference of Earth's equator is 40,080 km.

Step-by-step explanation:

Given that every 24 hours, Earth makes a full rotation around its axis, and Earth's speed of rotation at the equator is 1,670 km per hour, to determine what is the circumference of Earth's equator the following calculation must be performed:

24 x 1,670 = X

40,080 = X

Therefore, the circumference of Earth's equator is 40,080 km.

Answer:

401 a week

Step-by-step explanation: Fred earns $5.15 dollars plus a tip of $195  if he works for 40 hours the equation would be x=ab+c  X is the week, A is the money per hour, B is the amount of hours and C is the tip   X= 5.15(40)+195       5.15 times 40 is 206 then 206+195 is 401 which is your answer

Answer:

ANSWER :

it's x + 3 + x

3 and 4

Step-by-step explanation:

y=5x

y=5(0)

y=0

y=5x

y=5(10)

y=50

y=5x

y=5(51)

y=255

y=5x

y=5(400)

y=2000

Answer:

HEY MATE I HAVE THE SAME QUESTION IN MY SCHOOL AND I HAVE SOLVED IT SO PLZ MARK ME BRAINLIEST.

Step-by-step explanation:

In a right triangle its sides can go with a^2+b^2= c^2

Then a^2+ 8^2= 17^2. a=15 (missing side)

Now 5^2+ 15^2= x^2

250=x^2 ------> 5 square root of 10=x answer b

Answer:

d

Step-by-step explanation:

Answer:

the person above me is correct

Step-by-step explanation:

cus I know

Answer:

60%

Step-by-step explanation:

27/45 = .6

.6 = 60%

Answer:

I believe it would be A 3^2(2-sqr2)

Answer:

Step 1 & Step 4 are true statements

Step-by-step explanation:

Explanation in progress! Enjoy your answer first then come back for the explanation once you've done it (●'◡'●)

Answer:

I have absolutely no clue sorry buddy

Step-by-step explanation:

There is no step-by-step explanation

Answer:

Hi

Step-by-step explanation:

I can help you

2. Area of a rectangle 40 cm2

So. We know the area AND one of the sides of the rectangle.

We can calculate the area.

We know that area=length times width

so

A=lw

Rearrange that for w:

w=A/l

w=40:8

w=5

Now we know both l and w

Now we can calculate the perimeter

P=2a+2b

P=2(a+b)

P=2(8+5)

P=2(13)

P=26

I hope it is correct

Answer:

y = 14

Angle O is 41 degrees

Step-by-step explanation:

From the question, since we have an isosceles triangle, then the base angles are equal

This means that the angle at M is (4y-15) too

Mathematically, the sum of the angles in a triangle is 180 degrees

Thus;

7y + 4y-15 + 4y-15 = 180

15y-30 = 180

15y = 180+ 30

15y = 210

y = 210/15

y = 14

Angle O is 4y-15

= 4(14) -15 = 56-15 = 41 degrees

Answer:

110x -200y

Step-by-step explanation:

10(x - 20y) + 100x

Distribute

10x-200y +100x

Combine like terms

110x -200y

Answer:

110x−200y

Step-by-Step Explanation:

Given:

10(x−20y)+100x

First Step: Distribute

(10)(x)+(10)(−20y)+100x

10x+−200y+100x

Second Step: Combine Like Terms:

10x+−200y+100x

(10x+100x)+(−200y)

110x+−200y

Answer:

=110x−200y

Answer:

D. no function

Explanation:

We have a function because this graph passes the vertical line test. It is impossible to draw a single vertical line to have it pass through more than one point on the V shaped curve. Any x input leads to exactly one y output.

Even though we have a function, it is not one-to-one. Note how the curve fails the horizontal line test. It is possible to draw a horizontal line and have it pass through more than one point on the curve.

For example, draw a horizontal line through y = 3 and it passes through (-3,3) and (3,3) simultaneously. A one-to-one function is where any y output corresponds to exactly one x input, and vice versa. The output y = 3 corresponds to two different inputs x = -3 and x = 3 at the same time.

Why do we care about one-to-one functions? Well it's to help set up the inverse. The inverse goes the opposite direction of what the original function does. In this case, this function doesn't have an inverse unless we restrict the domain in some way.

Answer:

yes

Step-by-step explanation:

Here is the complete question :

A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked its taste. 40% of the surveyed customers like the taste of the cookie. Is it an example of descriptive statistics?

Descriptive statistics are used to summarise the features or characteristics of a data or sample. It provides information on the features of sample collected.

Types of  descriptive statistics

1. Measures of central tendency :

They include mean, median and mode

Mode refers to a value that appears most frequently in a data set.

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

2. Measures of variation : It includes range, standard deviation and variance

3. Measure of position ; percentile and quartiles

4. Measure of frequency : count, percentage

Answer:

Step-by-step explanation:

The formula for this is the one we use when we are given the ratio the directed line segment is separated into as opposed to the point being, say, one-third of the way from one point to another. The 2 equations we use to find the x and y coordinates of this separating point are:

[tex]x=\frac{bx_1+ax_2}{a+b}[/tex]  and  [tex]y=\frac{by_1+ay_2}{a+b}[/tex] where x1, x2, y1, y2 come from the coordinates of A and B, and a = 1 (from the ratio) and b = 2 (from the ratio). Filling in for x first:

[tex]x=\frac{2(2)+1(-4)}{1+2}=\frac{4-4}{3}=0[/tex] and then y:

[tex]y=\frac{2(-3)+1(9)}{1+2}=\frac{-6+9}{3}=\frac{3}{3}=1[/tex]

The coordinates of point E, then, are (0, 1).

Answer:

(-1,3)

Step-by-step explanation:

Mathematically, what we have to do here is to get the coordinates of the midpoint of the line AB

we have this as;

(x,y) = (x1 + y1)/2, (y1 + y2)/2

(x,y) = (-4+2)/2, (9-3)/2 = (-1, 3)

Answer:

AB= A. (50)^1/2

BC= B. (65)^1/2

AC= D. (145)^1/2

<ABC≈ 105

Answer:

radius = 5

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here r² = 25 ( take the square root of both sides )

r = [tex]\sqrt{25}[/tex] = 5

Answer:

0.037

Step-by-step explanation:

Given that,

Let a and b be the solutions to [tex]x^2 + x -3 = 0[/tex]

It can be solved using quadratic formula where a = 1, b = 1 and c = -3

So,

[tex]x=\dfrac{-1+\sqrt{1^2-4\times 1\times (-3)}}{2(1)},\dfrac{-1-\sqrt{1^2-4\times 1\times (-3)}}{2(1)}\\\\x=1.30,-2.3[/tex]

Let a = 1.3, b = -2.3

The value of [tex]a^3 -4b^2 + 19[/tex] can be given by :

[tex]a^3 -4b^2 + 19=(1.3)^3-4\times (-2.3)^2+19\\\\=0.037[/tex]

So, the value of the given expression is 0.037.

Answer:

Step-by-step explanation:

“the center of the ellipse is located below the given co-vertex”

Co-vertex and center are vertically aligned, so the ellipse is horizontal.

Equation for horizontal ellipse:

(x-h)²/a² + (y-k)²/b² = 1

with

a² ≥ b²

center (h,k)

vertices (h±a, k)

co-vertices (h, k±b)

foci (h±c,k), c² = a² -b²

One co-vertex is (-8,9), so h = -8.

One focus is (4,4), so k = 4.

Center (h,k) = (-8,4)

c = distance between center and focus = |-8 - 4| = 12

b = |9-k| = 5

a² = c² + b² = 169

(x+8)²/169 + (y-4)²/25 = 1

Answer:

[tex]\displaystyle f(x)=-\frac{1}{2}(x+1)^2+6[/tex]

Step-by-step explanation:

We want to write the equation for a quadratic function in vertex form with vertex at (-1, 6) that passes through the point (-3, 4).

Vertex form is given by:

[tex]\displaystyle f(x)=a(x-h)^2+k[/tex]

Where (h, k) is the vertex and a is the leading coefficient.

Since our vertex is at (-1, 6), h = -1 and k = 6. Substitute:

[tex]f(x)=a(x-(-1))^2+(6)[/tex]

Simplify:

[tex]f(x)=a(x+1)^2+6[/tex]

Next, since the quadratic passes through the point (-3, 4), f(x) = 4 when x = -3. Substitute:

[tex](4)=a(-3+1)^2+6[/tex]

Solve for a. Simplify:

[tex]-2=a(-2)^2[/tex]

Hence:

[tex]\displaystyle -2=4a\Rightarrow a=-\frac{1}{2}[/tex]

Therefore, our function in vertex form is:

[tex]\displaystyle f(x)=-\frac{1}{2}(x+1)^2+6[/tex]

3.75 quarts

Brainly plz and thank you

Answer:

[tex]perimetro = \dfrac{(3 + \sqrt{3})m}{2}[/tex]

Step-by-step explanation:

triángulo 30°-60°-90°

[tex] 1~:~\sqrt{3}~:~2 [/tex]

[tex] 1m~:~m\sqrt{3}~:~2m [/tex]

[tex] \dfrac{m}{2}~:~\dfrac{m\sqrt{3}}{2}~:~m [/tex]

[tex]perimetro = \dfrac{m}{2} + \dfrac{m\sqrt{3}}{2} + m[/tex]

[tex]perimetro = \dfrac{m}{2} + \dfrac{m\sqrt{3}}{2} + \dfrac{2m}{2}[/tex]

[tex]perimetro = \dfrac{m + m\sqrt{3} + 2m}{2}[/tex]

[tex]perimetro = \dfrac{3m + m\sqrt{3}}{2}[/tex]

[tex]perimetro = \dfrac{(3 + \sqrt{3})m}{2}[/tex]

Answer:your answer should be 2

Step-by-step explanation:

Answer:

P = 157.5 units

Step-by-step explanation: