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Answer: {-7, 2}

Step-by-step explanation: This type of equation is called a polynomial equation and in order to solve for x, we would first factor the left side.

Notice that the left side of the equation is a trinomial in a special

form that can be factored as he product of two binomials.

As our first term for each binomial, we have the factors of x², x · x

and as the second term, we have the factors of -14 that add to 5.

In this case, the factors are +7 and -2.

So we have (x + 7)(x - 2) = 0.

If (x + 7)(x - 2) = 0, that means that either x + 7 = 0 or x - 2 = 0.

Solving for x in each equation, we have x = -7 or x = 2.

We can write our answer as the solution set {-7, 2}.

The solution of quadratic equation is,

⇒ x = - 7, 2

We have to given that,

An equation is,

⇒ x² + 5x - 14 = 0

We can factorized the above quadratic equation as,

⇒ x² + 5x - 14 = 0

⇒ x² + (7 - 2)x - 14 = 0

⇒ x² + 7x - 2x - 14 = 0

⇒ x (x + 7) - 2 (x + 7) = 0

⇒ (x + 7) (x - 2) = 0

This gives,

x + 7 = 0

x = - 7

x - 2 = 0

x = 2

Therefore, The solution of quadratic equation is,

⇒ x = - 7, 2

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Work Shown:

a = 3 is the first term

r = 2 is the common ratio

Sn = a*(1-r^n)/(1-r) ... sum of the first n terms

S8 = 3*(1-2^8)/(1-2) ... sum of the first 8 terms

S8 = 3*(-255)/(-1)

S8 = 765

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We can generate the first 8 terms to get 3, 6, 12, 24, 48, 96, 192, 384. Each new term is found by multiplying the previous one by 2.

Then add them up to get 3+6+12+24+48+96+192+384 = 765. We get the same result.

Answer: Answer: 765

Work Shown:

a = 3 is the first term

r = 2 is the common ratio

Sn = a*(1-r^n)/(1-r) ... sum of the first n terms

S8 = 3*(1-2^8)/(1-2) ... sum of the first 8 terms

S8 = 3*(-255)/(-1)

S8 = 765

Answer:

1) TRIANGULAR PRISM

3) d. 144 cm3

Step-by-step explanation:

1) When figuring out what shape a net is, look at the two shapes that are different. In this case, its the triangles. Then take a look at the other shapes. If it has a rectangle base then you know its a prism. If it has a different shpes base then you know its pyramid. Now just combine the two key words you found. Triangle + Prism = Triangular Prism

2) A solid is something that is firm and stable. So it is not a liquid or solid. Pretty much everything that you listed is a solid.

3) The formula for finding the volume of a triangular prism is bxhxl divided by 2. So it would be 8x3x12= 288 divided by 2= 144 cm3

Answer:

Triangular prism.

Step-by-step explanation:

Answer:

31t 2,446 lb 2oz

Step-by-step explanation:

24t+7t=31t

1,507+938=2,445 lb

12 oz+6 oz=18 oz = 1 lb + 2oz (16 oz in a pound)

31t+2,445 lb+1 lb + 2oz=

31t 2,446 lb 2oz

Answer:

D. 35

Step-by-step explanation:

20-5>25 = 20>25 incorrect

30-5>25 = 25>25 incorrect

35-5>25 = 20>25 correct

Answer:

1/8

Step-by-step explanation:

Well there is a .5 chance you get each side so in order for them all to land on the same side you do .5^3 which is .125 or 1/8

The lines around the angle is saying that they are corresponding. so the angle of b is 25

Answer:

[tex]\boxed{<b = 25}[/tex]

Step-by-step explanation:

Two angles in the same sector/segment have congruent measures.

So, <b = 25 (These are the two angles in the same segment).

Answer:

[tex]6x^2 - 6x + 5[/tex]

Step-by-step explanation:

Given

List of Options

Required

Which of the options has a degree of 2

The general format of a polynomial is

[tex]ax^n + bx^{n-1} + ..... + cx^{n-n}[/tex]

Where n represents the degree

In this case;

n = 2

Substitute 2 for n in expression above;

[tex]ax^n + bx^{n-1} + ..... + cx^{n-n}[/tex]

[tex]ax^2 + bx^{2-1} + ..... + cx^{2-2}[/tex]

[tex]ax^2 + bx^{1} + ..... + cx^{0}[/tex]

[tex]ax^2 + bx + c *1[/tex]

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

Comparing this format to the list of given options; the option with the same format is: [tex]6x^2 - 6x + 5[/tex]

Where [tex]a = 6[/tex]; [tex]b = -6[/tex] and [tex]c = 5[/tex]

Hence, the polynomial with a degree of 2 is [tex]6x^2 - 6x + 5[/tex]

Answer:

6x^2-6x+5

Step-by-step explanation:

Answer:

f(x) = 28 + 10x²

For f(1) substitute 1 into f(x)

That's

f(1) = 28 + 10(1)²

= 28 + 10

f(27) = 28 + 10(27)²

= 28 + 7290

Hope this helps you

Answer:

1 hour 12 minutes or 1.2 hours

Step-by-step explanation:

You add fractions to get this.

1 room/3 hours + 1 room / 2 hours = 1 room / x

0.33333333+0.5 = 1 room / x

0.83333333 = 1 / x    Multiply both sides by x

0.83333333x  = 1      Divide by 0.8333333

x = 1/0.833333

x = 1.2 hours or

x = 1 hour and 12 minutes  

Answer:

26

Step-by-step explanation:

Let's find first the lower quartile in both A and B

steps:

73 and 75 are the smallest consecutive numbers

The lower quartile in A is 74

47 and 49 are the smallest consecutive numbers

The lower quartile in B is 48

Answer:

29

Step-by-step explanation:

To find the lower quartile of each you need to find the median to split them into 2 groups (upper and lower quartile).

Lower quartile of Set A: 73, 75, 79, 81, 84, 85

Lower quartile of Set B: 47, 49, 51, 51, 55, 56

Now you find the median of the 2

Set A: 80

Set B: 51

Lastly you subtract A & B and get 29

Answer:

[tex]\text{Domain of}R_1=\{-2,0,2,4\}[/tex]  and [tex]\text{Range of}R_1=\{-3,-1,0\}[/tex]

[tex]\text{Domain of}R_2=\{-3,-1,0,3\}[/tex]  and [tex]\text{Range of}R_2=\{-1,0,1,2,3\}[/tex]

Step-by-step explanation:

Domain is the set of input values or x-values.

Range is the set of output values or y-values.

According to the relation mapping diagram, the relation is

[tex]R_1=\{(-2,-3),(-2,-1),(0,0),(2,0),(4,-3)\}[/tex]

So,

[tex]\text{Domain of}R_1=\{-2,0,2,4\}[/tex]

[tex]\text{Range of}R_1=\{-3,-1,0\}[/tex]

In the graph 5 points are plotted. So, the relation is  

[tex]R_2=\{(-3,1),(-1,-1),(0,0),(3,2),(3,3)\}[/tex]

So,

[tex]\text{Domain of}R_2=\{-3,-1,0,3\}[/tex]

[tex]\text{Range of}R_2=\{-1,0,1,2,3\}[/tex]

Answer:

490,314

Step-by-step explanation:

This is a combinations problem.  The formula is n!/(n-r)!xr!

This is 23!/(23-8)!x8!=

23!/15!x8!=

19,769,460,480/40,320=

490,314

Using the combination formula, it is found that the classes can be chosen in 490,314 ways.

The order in which the classes are chosen is not important, hence the combination formula is used to solve this question.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 8 classes are chosen from a set of 23, hence:

[tex]C_{23,8} = \frac{23!}{8!(15)!} = 490314[/tex]

The classes can be chosen in 490,314 ways.

More can be learned about the combination formula at https://brainly.com/question/25821700

Answer:

4

Step-by-step explanation:

Each bar represents a range in area. The first bar represents the number of houses with an area of more than 50 but less than 100. It's height is 4, so there are 4 of those houses.

Let’s see if I can help you :)!

With two points you can define a line.

So, the line parallel to s is q, which has these two pointS: (3,6) and (6,3)

There are different ways to get the line. For instance, this one:

Y = a*x+b

a = slope = difference_y/difference_x = (3-6)/(6-3) = -1,

y = -x + b,

Now use any point, say (3,6) to get b:

6 = -3+b-> b - 9.

Line is y = -x + 9,

It checks out in the other point: (6,3) —> 3 = -6+9 = 3. Good.

Other method:

y-y2 = a*(x-x2), where (x2,y2) is one of the two points and a is the slope as defined before.

Really hope this helped you!

Answer:

The answer is B

Step-by-step explanation:

Answer:

any way since the sides are the same leangth

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

There would be four faces on the top, left, bottom, and right.  That equals 16.  (4x4)

There would also 1 on each end, so you have to add 2.  That equal 18.

This is assuming you paint the faces on the bottom.  If you didn’t, the answer would be 14.  (But it doesn’t say not to paint them.)

Answer:

i think A

plz correct me

Step-by-step explanation:

Answer:

Standard deviation=4

Step-by-step explanation:

Standard deviation = square root of variance

Standard deviation=√variance

Variance=standard deviation square

Variance=standard deviation^2

From the question

Variance=16

Standard deviation=?

Standard deviation=√variance

=√16

=4

Standard deviation=4

check:

If standard deviation=4

Variance=standard deviation^2

=4^2

=16

Therefore,

Standard deviation=√variance

[tex]4[/tex]

Variance of the variable [tex]=16[/tex]

Standard deviation [tex]=\sqrt{16}[/tex]

                                [tex]=\boldsymbol{4}[/tex]

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Answer:

A function is a relation in which each input has only one output.

Step-by-step explanation: In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.

A function is a coordinate grid containing a U-shape with arrows on both ends that open to the right, and in which the bottom portion of the U passes through the origin which is the correct answer would be an option (A).

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

A function is a coordinate grid with a U-shaped pattern, arrows on both ends that open to the right, and the origin at the bottom of the U.

Because there is only one output of the relation, y, for any input x (1, 2, 3, or 0), is a function of x. Because the input y = 3 contains multiple outputs, including x = 1 and x = 2, x is not a function of y.

Therefore, the function is a coordinate grid containing a U-shape with arrows on both ends that open to the right, and in which the bottom portion of the U passes through the origin.

Hence, the correct answer would be option (A).

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Answer:

72 square units.

Step-by-step explanation: You have to multiply both sides by the scale factor. 5 times 1.2 is 6, and 10 times 1.2 is 12. Then, multiply 6 by 12 to get your area of 66 square units.

Answer:

Below in bold.

Step-by-step explanation:

24 ÷ [ 33- (1+2)^2]

= 24 / ( 33 - 3^2)

= 24 / 24 = 1.

21 + 3 (2-2^2)

= 21 + 3(2 - 4)

= 21 + 3 * -2

= 21 - 6

= 15.

[(14+√4)÷2^3] - 14

= [ (14 + 2) / 8] - 14

= 16/8 - 14

= 2 - 14

= -12.

20 + [18÷(4+1)] - (3^2 + 2)

= 20 + [18÷ 5] - (9 + 2)

= 20 + 3.6 - 11

= 23.6 - 11

= 12.6.

Answer:

Hope this helps

Step-by-step explanation:

For part A, we want two inequalities that have F and D as solutions, but none of the other points. The easiest way to do this is construct two lines that pass through the origin, and then figure out which way the inequalities need to face based on the points we want to include. Our lines will be:

The first line intersects F and the second line intersects D, so we need to figure out which way to point the inequalities so both include the point they do not intersect:

So our system is:

Part B: To verify, plug in the x and y values for D and F and verify that it creates true statements in the system.

Part C: You can plug in the different x, y values for the points. The points which create true statements identify farms where chickens can be raised, while those which create false statements cannot raise chickens.

Answer:

£398

Step-by-step explanation:

€530 = £0.75

530 x 0.75 = £397.50

You round this of to the nearest whole number:

£398

Answer:

70

Step-by-step explanation:

[tex]\frac{20}{100}*350=70[/tex]

Answer:

The first relation is not a function.

Step-by-step explanation:

If you see two points in which one is vertically above the other, then it is not a function. In other words, if in a relation, two points have the same x-coordinate and different y-coordinates, that relation is not a function. The only example in which this happens is the first graph.

The first relation is not a function.

Simplify equation:     14 - 7y + 5 = 1 + 3y + 24

     simplify again:  19 - 7y = 25 + 3y

     add -25  and 7y to both sides:   -6 = 10y

     y = -6/10   or -0.6

2.  After 30 minutes, richie has delivered 1/3 of the papers, so they have to deliver the remaining 2/3.  Since they can deliver them all in 40 minutes, would the answer be 2/3 of 40?  I'm not sure about this.

Answer:

The length of AB is 6

Step-by-step explanation:

Graph the question out.

Count from A to B

Answer:

[tex]\huge\boxed{a_n=1\cdot(-2)^{n-1}}[/tex]

Step-by-step explanation:

[tex]a_n=a_1r^{n-1}[/tex]

We have the geometric sequence: 1, -2, 4, -8, ...

Find the common ratio:

[tex]r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=...=\dfrac{a_n}{a_{n-1}}[/tex]

[tex]a_1=1,\ a_2=-2[/tex]

substitute:

[tex]r=\dfrac{-2}{1}=-2[/tex]

Substitute

[tex]a_1=1;\ r=-1[/tex]

to

[tex]a_n=a_1r^{n-1}[/tex]

[tex]a_n=1\cdot(-2)^{n-1}[/tex]

Answer:

[tex]a_{n}=1 (-2)^{n-1}[/tex]

Step-by-step explanation:

Hi there!

Let's do it,

1)[tex]1,-2,4,-8[/tex]  

First let's find the q, the common ratio by dividing the second term by the anterior one.

-2:1 =-2

4:-2=-2

So the common ratio is -2. Plugging in on the General formula:

[tex]a_{n}=a_{1}q^{n-1}[/tex]

[tex]a_{n}=1 (-2)^{n-1}[/tex]