What is the solution to the following
equation?
7x - 20 = -41
-
a). X=-3
b). X=3

Answer:

(x - 2) is not a factor of Q(x)

Step-by-step explanation:

if (x - h) is a factor pf f(x) then f(h) = 0

if (x - 2) is a factor of Q(x) then Q(2) = 0

Q(2) = 2² - 3(2)² - 4(2) + 12

       = 4 - 3(4) - 8 + 12

       = 4 - 12 + 4

       = - 8 + 4

       = - 4

since Q(2) ≠ 0 then (x - 2) is not a factor of Q(x)

However , if the polynomial was meant to be

Q(x) = x³ - 3x² - 4x + 12 , then

Q(2) = 2³ - 3(2)² - 4(2) + 12

       = 8 - 12 - 8 + 12

       = 0

then (x - 2) is a factor of Q(x) = x³ - 3x² - 4x + 12

The triangle VNH is an isosceles triangle because the lengths of sides VH and NH are congruent

The coordinates are given as:

V = (3,6)

N = (8,1)

H = (1,-1)

Calculate the distance between each point using:

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

So, we have:

[tex]VN = \sqrt{(8 -3)^2 + (1 -6)^2}[/tex]

[tex]VN = \sqrt{50}[/tex]

[tex]VH = \sqrt{(1 -3)^2 + (-1 -6)^2}[/tex]

[tex]VH = \sqrt{53}[/tex]

[tex]NH = \sqrt{(8 -1)^2 + (1 +1)^2}[/tex]

[tex]NH = \sqrt{53}[/tex]

Notice that two sides of the triangle are equal.

Hence, the triangle VNH is an isosceles triangle

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Answer:

I believe the answer is 10

Step-by-step explanation:

4x5 is 20 divided by 2 is 10. I hope you find this as helpful and correct, I am sorry if I am wrong.

The probability of choosing the red card will be 0.03%

In this situation, Mickey should have drawn the first 7 cards that are not diamond and then on the 8th attempt she should draw an ace.

Let A be the event of drawing 7 cards which are not diamond and B the event of drawing an ace card. therefore the required probability is

P(A∩B)=P(A)*P(B)

Now, there are 13 diamonds and 39 other cards. Hence,

P(A)=(13/39)⁷=0.1335

After drawing 7 non-diamond cards, the 8th card must be a diamond. Hence,

P(B)=0.25

Hence, P(A∩B)=P(A)*P(B)=0.1335*0.25=0.033(approximately 0.03,i.e. 3%)

Therefore the probability that Mickey will draw her first red diamond on the 8th attempt is 0.03%

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Answer:

The answer is y=4x-2

Step-by-step explanation:

Answer:

Total Area = 24830.437[tex]m^{3}[/tex]

Step-by-step explanation:

This will be using different AREA formula to find the inner area amount

The image is color coded to each shape area

Let me know if you have any questions !

Hope this helps :)

Answer:

the answer is 12

Step-by-step explanation:

[tex] \frac{756}{63} \\ = 12[/tex]

Answer:

-10.95 hope it helps so yeah and if it's wrong sorry

Answer:

10.95

Step-by-step explanation:

When solving a problem like this you can just take the decimals then add then back at the end for example. ...

7,000

-

5,905

_______

1,095

Then, add the decimal back in its original spot to give you 10.95

Hope this helps!

[tex]\displaystyle\int \left( u^6 - 2u^5 - u^3 + \cfrac{2}{7} \right)du\implies \cfrac{u^7}{7}-2\cdot \cfrac{u^6}{6}-\cfrac{u^4}{4}+\cfrac{2}{7}u \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{u^7}{7}- \cfrac{u^6}{3}-\cfrac{u^4}{4}+\cfrac{2u}{7}+C~\hfill[/tex]

Answer:answer to 9:$1,025.00 answer to 10:$243.90 answer to 11:$1,025.15

Step-by-step explanation:

explanation to 9:First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year.

Solving our equation:

A = 500(1 + (0.07 × 15)) = 1025

A = $1,025.00

The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 7% per year for 15 years is $1,025.00.explanation to 10:First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year.

Solving our equation:

P = 500 / ( 1 + (0.07 × 15)) = 243.90243902439

P = $243.90

The principal investment required to get a total amount, principal plus interest, of $500.00 from simple interest at a rate of 7% per year for 15 years is $243.90. explantion to 11:First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year.

Solving our equation:

A = 500(1 + (0.07 × 15)) = 1025

A = $1,025.00

The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 7% per year for 15 years is $1,025.25.

Answer:

no

Step-by-step explanation:

1 kilobyte = 1000 byte

1 megabyte = 1,000,000 byte

1 kilobyte = 1/1000 megabyte

Answer: no

Answer:

Step-by-step explanation:

Here's the table:

1 Kilobyte = 1,024 Bytes

1 Megabyte = 1,024 Kilobytes

1 Gigabyte = 1,024 Megabytes

1 Terabyte = 1,024 Gigabytes

From the table, we can see that Megabyte is bigger than Kilobyte

Radius is the length of the line segment from the center of the circle to an endpoint on the circle and diameter is twice the length of the radius of the circle.

As all sides are equal it's equitorual hexagon

An inscribed hexagon is best fit for construction

Steps

Done ! We created

you can erase the circle later on

Answer:

Attachment 1

Take a compass and adjust it so that it is the width of line r.

Place the point of the compass on the left point of line r and draw a circle going through the right point of line r with radius r.

Attachment 2

Take a ruler, place it so it is against line r and extend the line r across the width of the circle (this is the diameter of the circle).

Attachment 3

Place the point of the compass on the right point of line r and draw a circle (blue circle).

Place the point of the compass on the left of the diameter and draw a circle (orange circle)

Attachment 4

The points of intersection of the 3 circles are the vertices of the hexagon.  

Attachment 5

Join the points of intersection with line segments - this is your hexagon with sides equal to r.

(If necessary, erase the circles to show the hexagon only.)

Answer:

28

Step-by-step explanation:

counting all the lines pretty much

Answer:

its 8x3 for edges so 24 and its 8x2 for vercicles its 16 but for the faces its 8+2 = 10 so you are chillin :)

Step-by-step explanation:

Here is the solution hope it helps:)

Answer:

The arrow points to the left, the arrow points to the right, and there is a closed circle on 2 8/9

Step-by-step explanation:

I hope this helps!!

Answer: [tex]3x(2x^{3} + 5x + 8)[/tex]

Step-by-step explanation:

[tex]6x^{4} + 15x^{2} + 24x[/tex]

↓

[tex]3x(2x^{3} + 5x + 8)[/tex]

The factored expression is 3x(2x³ + 5x + 8).

To factor the expression 6x⁴ + 15x² + 24x using the greatest common factor (GCF), we first need to identify the common terms or factors that can be factored out from each term.

Step 1: Find the GCF of the coefficients (numbers).

The GCF of 6, 15, and 24 is 3.

Step 2: Find the GCF of the variables (x terms).

The GCF of x⁴, x², and x is x.

Step 3: Combine the GCF of the coefficients and variables.

The GCF of the entire expression is 3x.

Now, factor out 3x from each term:

3x * (2x³ + 5x + 8)

The factored expression is 3x(2x³ + 5x + 8).

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Step-by-step explanation:

the general vertex form is

y = a(x - h)² + k

with (h, k) being the vertex.

after doing all the multiplications we get

y = a(x² - 2hx + h²) + k = ax² - 2ahx + ah² + k

our original equation is

y = x² - 6x + 17

and now we simply compare the cording parts :

ax² = x²

a = 1

-2ahx = -2hx = -6x

-2h = -6

h = -6/-2 = 3

ah² + k = 17

3² + k = 17

9 + k = 17

k = 8

so the vertex form is

y = (x - 3)² + 8

To solve this problem, we have to understand probability without replacement and consider the two events happening. The probability that both events occurs is 14%

To solve this problem, let's write down the data given;

Data;

But we are asked to calculate the probability that both times we pick both tickets, it would be a concert ticket.

Total number of tickets =

[tex]12 + 8 = 20[/tex]

Let's proceed for the first event

[tex]P = \frac{8}{20}= \frac{2}{5}[/tex]

The probability the second event occurs will be

[tex]P = \frac{7}{20}[/tex]

The probability both events occur will be

[tex]P = P_a * P_b = \frac{2}{5} * \frac{7}{20} = \frac{7}{50} =0.14 = 14\%[/tex]

The probability that both events occurs is 14%

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3rd

Step-by-step explanation:

i am not sure though so confirm it

Answer:

Its the THIRD choice.

Step-by-step explanation:

The values in ascending order are:

6 6 7 9 11 14 15 15 17 19 21 23 23 23 28 31

So the median = (15+17)/2 = 16.

The lowest and highest values are 6 and 31.

The lower quartile is 10.

The upper quartile is 23.

Answer:

2x + 7 = 3

2x = 3 - 7

2x = -4

2x/2 = -4/2

x= -2

Therefore the numbers are -2 and 7.

Answer:

The correct answer is cone.

Step-by-step explanation:

Hope this helps:) Goodluck!

Answer: the height is 18 cm.

Step-by-step explanation:

The equation for the volume of a cone is the following: V = 1/3 × B × h, where B (base) = πr². Because we are given the radius of the base, but not the base’s area itself, we will use V = 1/3πr²h.

Here, we are trying to solve for h, the height, so first we can first rearrange the equation to solve for h:

1) V = 1/3πr²h

2) h = V ÷ 1/3πr² (divide both sides by 1/3πr²h)

Now, we just need to input the given values: V = 471, π = 3.14, r = 5

h = 471 ÷ 1/3(3.14)(5²)

= 471 ÷ 1/3(3.14)(25)

= 471 ÷ 1/3(78.5)

= 471 ÷ (78.5/3)

= 18 cm

Answer:

Correct option is A)

If the solutions to the equations are 8 and −4, the factored form of the equation is : (x−8)(x+4)=0

Use FOIL to find the quadratic form: x

2

−4x−32=0. Therefore, the correct equation is (A)

Step-by-step explanation:

What do you think?

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