Why does that formula make sense?

Answer: B

Step-by-step explanation:

There are two x-intercepts: x = -√5 and x = √5. The answer is: 2 x-intercepts.

The x-intercept is defined as an intercept that is located at the x-axis of the plane, is the location or coordinate from where the line crosses.

To find the x-intercepts of the polynomial function f(x) = x⁴ - 5x², we set f(x) equal to zero and solve for x.

Setting f(x) = 0:

x⁴ - 5x² = 0

Factoring out the common term x²:

x²(x² - 5) = 0

Now we have two factors: x² = 0 and x² - 5 = 0.

For x² = 0, we have a double root at x = 0.

This means the graph touches the x-axis at x = 0 but does not cross it.

For x² - 5 = 0, we can solve for x by taking the square root:

x² = 5

x = ±√5

Therefore, there are two x-intercepts: x = -√5 and x = √5.

The answer is: 2 x-intercepts.

Learn more about the x-intercept here:

https://brainly.com/question/14180189

#SPJ7

Answer:

meta beta

Step-by-step explanation:

diem ryugudnhkng.

Answer:

69.47%

Step-by-step explanation:

Calculation to determine Find the percent of markup

Using this formula

Percent of markup=New price-Old price/Old price

Let plug in the formula

Percent of markup=$15.95-$4.87/$15.95

Percent of markup=$11.08/$15.95

Percent of markup=0.6947*100

Percent of markup=69.47%

Therefore the percent of markup is 69.47%

Answer:

B and D

Step-by-step explanation:

Multiplying exponents just adds them.

Answer:

B + D

Step-by-step explanation:

Answer:

2.37 x 10 ^ -5

Step-by-step explanation:

Answer:

Coordinate of points = (7 , 0)

Step-by-step explanation:

Given:

Equation of slope;

y – y1 = m(x – x1)

Equation of slope;

y = 3(x – 7)

Find:

Coordinate of points

Computation:

By comparing

y - 0 = 3(x - 7)

So,

y1 = 0

m = 3

x1 = 7

Coordinate of points = (7 , 0)

Answer:

(3,2)

Step-by-step explanation:

the other three ordered pairs do not lie in the shaded region

Answer:

x=29.9

Step-by-step explanation:

x=29.9

The right Answer is:

x = 4

Answer:

x=4

Step-by-step explanation:

2/3 (x − 7) = −2

Multiply each side by 3/2

3/2 *2/3 (x − 7) = −2*3/2

x-7 = -3

Add 7 to each side

x-7+7 = -3+7

x=4

Answer:

perpendicular

Step-by-step explanation:

peripenducular looks like a plus sign. HOPE THIS HELPS!

Branliest...

Answer:

Option (1)

Step-by-step explanation:

To calculate the volume of the given pyramid,

Formula to be used,

Volume = [tex]\frac{1}{3}(\text{Area of the triangular base)}(\text{Height})[/tex]

Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                             = [tex]\frac{1}{2}(9)(15)[/tex]

                                             = 67.5 cm²

Now volume of the pyramid = [tex]\frac{1}{3}(67.5)(32)[/tex]

                                               = 720 cm³

Therefore, Option (1) will be the correct option.

Answer:

correct option if Option D

Answer:

The answer is B.

Step-by-step explanation:

It can't be A, C, or, D because if the polygons were in a certain position, those transformations wouldn't work.

The definition of a rigid transformation is either a translation, rotation, or reflection. Therefore it must be B.

Sorry about how vague this is. It's hard to explain this without diagrams.

Answer:

No.

Step-by-step explanation:

#1, the sample size is not indicative of a proper high school population, unless of all there is a small amount of students in the high school (or even only 30 students in it). On a individual basis, it can vary widely, and so data analysis such as this is not correct. The data size is skewed as well for the college, especially as college campuses typically house more students then usual. To only ask 60 college students also skew the data gotten. Another sample error may be locational error, in which the location of the schools may warrant the need for a driver license, or if it is not needed, as well as the distance of the student's house and/or where needed facilities are to accommodate a student's needs and desires.

If we were to set all these problems aside and focus more on the question, 15 high school students said they could drive, and 15 said they could not, which makes the sample size of 30 high school students in all. 15 say they can drive, therefore:

15/30 = 1/2, or there is a 50% chance of obtaining a student that can drive.

On the other hand, out of 60 college students surveyed, 30 said they can drive, therefore:

30/60 = 1/2, or there is a 50% chance of obtaining a student that can drive.

∴ Micah's prediction is incorrect in obtaining a college student that can drive more easily then obtaining one that can drive in a high school.

However, remember that too small of a data size can lead to a heavy skew, and it will not represent reality as well.

~

Answer:

Sample Response: No, Micah is not correct. Since there are equal numbers in the group that drive and the group that doesn’t drive, the relative frequency for each is 50%. Because the relative frequencies are the same, there is no association between the variables.

Step-by-step explanation:

Got this from Edg 2021

Answer:

x = -6

Step-by-step explanation:

-5x + 1 = 31

Subtract 1 from each side

-5x + 1-1 = 31-1

-5x = 30

Divide by -5

-5x/-5 = 20/-5

x = -6

Answer:

x = - 6

Step-by-step explanation:

- 5 x + 1 = 31

subtract 1 from 31

- 5 x = 31 - 1

- 5 x = 30

Divide 30 by - 5

x = 30 / - 5

x = - 6

Answer:

Natasha: $25000

Natalie: $40000

Nadia: $10000

Step-by-step explanation:

5 : 8 : 2

5 + 8 + 2 = 15

$75000 ÷ 15

$5000

$5000 × 5 = $25000

$5000 × 8 = $40000

$5000 × 2 = $10000

Answer:

186

Step-by-step explanation:

Your entire surface area is

216

the area of the rectangle on the bottom is 30

substract 30 from 216

Answer:

[tex]m^{2} n^{2} - mn-11[/tex]

Step-by-step explanation:

Simplify the expression.

Given:

The cost of game = $25

Sales markup = 6%

To find:

How much do they each pay?

Solution:

The sales markup is 6% of the cost.

[tex]\text{Sales markup}=25\times \dfrac{6}{100}[/tex]

[tex]\text{Sales markup}=1.5[/tex]

Now, the total cost after sales markup is:

[tex]25+1.5=26.5[/tex]

Jane and Tannic split the cost of buying a video game. It means they divide the cost in two equal parts. So, the amount paid by each one is

[tex]\dfrac{26.5}{2}=13.25[/tex]

Therefore, Jane and Tannic will pay $13.25 each .

Answer:

well, we only no that

2l + 2w is 80

(lengths and widths on all 4 sides

and that w * l is A

so the function should be w times what's left for l, but also expressed by something with w

2l + 2w = 80 | -2w

2l = 80 -2w | devide by 2

l = 80 - w

now we can substitute l in

A = w * l

so that we only need w's

A(w) = w * (80-w)

for any w it will give us the area, makes only sense for 0<w<80

Answer:

3

Step-by-step explanation:

Since there are an even number of data points (there are 4 points), and since the data has already been written in ascending order, the median is the average of the middle two terms:  (2 + 4)/2 = 3

Answer:

Median: 3

Step-by-step explanation:

Median: the number in the middle

1, 2, 4, 7

Median is between 2, 4

Therefore, the median is 3

Answer:

option B

Step-by-step explanation:

[tex]x^2 - 2x + 17 = 0 \ , \ [ \ where \ a = 1 , \ b = - 2 \ c = 17 \ ][/tex]

[tex]x = \frac{- b \ \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{2 \ \pm \sqrt{2^2 - (4 \times 1 \times 17)}}{ 2 \times 1}\\\\x = \frac{2 \ \pm \sqrt{4 - 68}}{ 2 }\\\\x = \frac{2 \ \pm \sqrt{-64}}{ 2 }\\\\x = \frac{2 \ \pm \sqrt{8^2 \times -1}}{ 2 }\\\\x = \frac{2 \ \pm \ 8\sqrt{ -1}}{ 2 }\\\\[/tex]              

[tex]x = \frac{2 \ \pm\ 8 i}{ 2 }\\\\[/tex]                               [tex][ \ where \ i = \ \sqrt{i} \ ][/tex]

[tex]x = 1 \ \pm \ 4i\\\\x = 1 + 4i , \ x = 1 - 4i[/tex]

Answer:

O B.  [tex]x=1+4i[/tex] or [tex]x=1-4i[/tex]

Step-by-step explanation:

Use the Quadratic Formula for the Quadratic Equation!

Quadratic Equation: [tex]x^{2} -2x+17=0[/tex]

Quadratic Formula: [tex]x= \frac{-b±\sqrt{b^2-4ac} }{2a}[/tex]

**********************************************************************

Now set up the values like this!

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

**********************************************************************

[tex]x=\frac{-b±\sqrt{-2^2-(4(0)(17)} }{2(0)}[/tex]

[tex]x=\frac{-b±\sqrt{4-(1)} }{0}[/tex]

x = 1 - 4i

x = 1 + 4i

Answer:

y-y1=m(x-x1)

y-2=1/3(x-3)

y=1/3x+1

Answer:

0.48 m^3

Step-by-step explanation:

volume = length * breadth * height

=6m * 4m * 0.02m

=0.48 m^3

A. Perpendicular!

Because they cross with a 90 degree angle :]

Answer: Perpendicular

Step-by-step explanation: Hope this helps

Answer:

Step-by-step explanation:

Voir le diagramme ci-attaché.

1) Distance EG

À l'aide du théoreme Pythagore, EG^2 = EF²+FG² = 4²+3² = 25

=>  EG = sqrt(25) = 5

2) Distance SO

Par la symétrie, EO=OG=(EG/2)=5/2 = 2.5

Encore, à l'aide du même théoreme,SE^2 = SO²+EO²

SO^2 = SE² - EO² = 6.5²-2.5² = 42.25 - 6.25 = 36

SO = sqrt(36) = 6  QED

3) Volume de la pyramide

V = (Aire de la base * hauteur ) /3

= (EF * FG) * SO /3

= (4*3) * 6 /3

= 24 cm³

Answer:20

Billions

Step-by-step explanation:

Answer:

Kjxiycdafgousdgkuafveligfasa

Answer:

y = 4x + b

Step-by-step explanation:

We know that (3, -2) is on this line. So 3 = m(-2)+b.

This leaves us with two variables the slope (m) and the y intercept (b).

But wait a minute, the slope is given to us since it says slope = 4.

Our equation is now, 3 = 4(-2)+b

3 = -8 + b

b = 11.

Our final equation is now y = 4x + b.

(y,x) is a point on this line.

Hope this helped!

JoeLouis2

Answer:the one to the left

Step-by-step explanation:

Answer:

perimeter=1/2*2πr

Step-by-step explanation:

1/2*2*3.142*10

=31.42