Which two values of x are roots of the polynomial below?

x^2 + 5x + 7

A. x = 5

B. x = -5-√-3 /2

C. x = -5+√-3 /2

D. x = 1/2

E. x = 5+√17 /2

F. x = 5-√17 /2

Part A

Multiply each age with its corresponding frequency

Then add up those products

38+60+21+88+23 = 230

We divide that sum over the total frequency of 11 (since 2+3+1+4+1 = 11).

mean = 230/11 = 20.9 approximately

Nice work on getting the correct answer.

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Part B

x = age of the new player

Adding x to the sum of the products 230, and then dividing over 11+1 = 12 will get us the new mean of 22.

The 230 represents the sum of the ages of the original eleven people. The expression 230+x represents the sum of the twelve ages.

So,

(230+x)/12 = 22

230+x = 12*22

230+x = 264

x = 264-230

x = 34

x=115tcos57

y=115tsin57-16t^2

Step-by-step explanation:

3 parts in figure

1 cube and 2 hemispheres

surface area of cube = 6a^2= 6*144= 864 mm^2

surface area of hemisphere = 3*π*r^2 =108π

2 hemispheres = 214π mm^2

total surfaCe area = 1542 mm^2

Answer:

option c

Step-by-step explanation:

3/6probability of number cube lands on an even number

1/3 probability that it will land on the spinner

multiply 1/3 x 3/6 =3/18

let me know if i get it correct

The probability that on a student's turn, the number cube will land with an even number on the top face and the arrow on the spinner will stop on the blue(b) section is P = 3/18

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

The probability of the number cube landing with an even number on the top face is 3/6 or 1/2 since there are three even numbers (2, 4, and 6) out of the six possible outcomes (1, 2, 3, 4, 5, and 6)

The probability of the arrow on the spinner stopping on the blue section is 1/3 since there is only one blue section out of the three possible outcomes

To find the probability of both events occurring together, we multiply the probabilities of each event:

P(even number and blue section) = P(even number) × P(blue section)

P(even number and blue section) = 1/2 × 1/3

P(even number and blue section) = 1/6

P = 3/18

Therefore, the probability that, on a student's turn, the number cube will land with an even number on the top face and the arrow on the spinner will stop on the blue section is 1/6.

Hence , the probability is P = 3/18

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Answer:

(a) $60

(b) $180

Step-by-step explanation:

Let the price of 1 table lamp be t.

Then the price of a fan is 3t.

2(3t) + 3t = 540

6t + 3t = 540

9t = 540

t = 60

A table lamp costs $60.

3($60) = $180

A fan costs $180.

Answer:

$36.00

Step-by-step explanation:

original cost= $45.00

discount= 20%

the sale price of the skateboard.

[tex]original \: price \times \frac{discount \%}{100} [/tex]

[tex] = 45.00 \times \frac{20}{100} [/tex]

[tex] = 45 \times 0.2[/tex]

[tex] = 9.00[/tex]

[tex]45 - 9[/tex]

[tex] = 36.00[/tex]

therefore, the sale price of the skateboard is $36.00

Answer:

When used as a diacritic mark, the term dot is usually reserved for the interpunct, or to the glyphs "combining dot above" and "combining dot below" which may be combined with some letters of the extended Latin alphabets in use in Central European languages and Vietnamese

Answer:

2,355 cubic units

Step-by-step explanation:

We will see that the volume of the sphere is 2,355 cubic units.

How to get the volume of a sphere?

We know that for a sphere of radius R, the volume is given by:

Here we know that:

R = 10 units

pi = 3.14

Replacing that in the volume equation we get:

So the volume of the sphere is 2,355 cubic units.

Answer:

[tex]\sf 0.53\quad and \quad \dfrac{53}{100}[/tex]

Step-by-step explanation:

Convert the end points to decimals:

[tex]\textsf{5 tenths}=\dfrac{5}{10}=5 \div 10=0.5[/tex]

[tex]\textsf{6 tenths}=\dfrac{6}{10}=6\div 10=0.6[/tex]

If the number line has 9 tick marks between the endpoints, there will be 10 equal spaces (see attachment), so the tick marks denote hundredths.

The difference between 0.6 and 0.5 = 0.1

Divide this by 10:   0.1 ÷ 10 = 0.01

Therefore, each tick mark on the number line denotes hundredths and is 0.01 greater than the previous tick mark.

If Point A is labeled on the third mark after 5 tenths then:

A = 0.5 + 0.01 + 0.01 + 0.01 = 0.53

0.53 as a fraction:

[tex]\implies 0.53 = \dfrac{0.53}{1}=\dfrac{0.53 \times 100}{1 \times 100}=\dfrac{53}{100}[/tex]

Therefore, point A is:

[tex]\sf 0.53\quad and \quad \dfrac{53}{100}[/tex]

Answer: i need points

Step-by-step explanation:

Answer:

a) 70°

Step-by-step explanation:

∠3 = 110

∠5 = ∠1

∠1 = 180 - ∠3

∠1 = 180 - 110

∠ 1 = 70

∠5 = ∠1 (corresponding angles postulate)

∠5 = 70

Answer:

Step-by-step explanation:

By balancing horizontal and vertical forces, we find the cable tensions to be ...

  Ta = W·sin(b)/sin(a+b) . . . . . where W is the weight being held

  Tb = W·sin(a)/sin(a+b)

Where Ta is the tension in the cable that makes an angle of 'a' with respect to the vertical, and Tb is the tension in the cable that makes an angle of 'b' with respect to the vertical.

__

The given angles are with respect to the ceiling, so the angles with respect to the vertical will be their compmements.

  angle 'a' is 90° -18° = 72°

  angle 'b' is 90° -72° = 18°

  a+b = 72° +18° = 90°

  Ta = (400 lb)sin(18°)/sin(90°) = 123.607 lb

  Tb = (400 lb)sin(72°)/sin(90°) = 380.423 lb

_____

Additional comment

The nice expressions for cable tension come from the balance of forces.

  vertical: Ta·cos(a) +Tb·cos(b) = W

  horizontal: Ta·sin(a) = Tb·sin(b)

Solving the horizontal equation for Ta, we get ...

  Ta = Tb·sin(b)/sin(a)

Substituting into the vertical equaiton gives ...

  Tb·sin(b)cos(a)/sin(a) +Tb·cos(b) = W

Multiplying by sin(a) gives ...

  Tb(sin(b)cos(a) +sin(a)cos(b)) = W·sin(a)

Using the trig identity for the sine of the sum of angles, we can rewrite this in the form shown above:

  Tb = W·sin(a)/sin(a+b)

The problem is symmetrical with respect to 'a' and 'b', so the other tension is found by interchanging 'a' and 'b' in the equation:

  Ta = W·sin(b)/sin(a+b)

Answer:

Option A, [tex]x =[/tex] ± [tex]4.47[/tex]

Step-by-step explanation:

Step 1:  Add 20 to both sides

[tex]x^2 - 20 = 0[/tex]

[tex]x^2 - 20 + 20 = 0 + 20[/tex]

[tex]x^2 = 20[/tex]

Step 2:  Square root both sides

[tex]\sqrt{x^2} = \sqrt{20}[/tex]

[tex]x =[/tex] ± [tex]4.47[/tex]

Answer:  Option A, [tex]x =[/tex] ± [tex]4.47[/tex]

X= 30

Y=28

Step-by-step explanation:

It's a right-angle triangle. So, 3 x 30 will give you a 90 degree angle.

180-90=90

That means the next 2 angles should add to 90.

2x28=56

56+34=90

Hope this helps!

Answer: Option C

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

A=LxW=7x3=21 The length was 7 and the width was 3.

Answer:

Whats the numbers can u give me them?

Step-by-step explanation:

Answer:

Im not good at math just breath and dont psnik

Step-by-step explanation:

Answer: x = -6

Step-by-step explanation:

     The line of x = -6 will be parallel to the y-axis because it is a vertical line, and the y-axis runs vertically.

    I have graphed the line of x = -6 so you can see it and compare it with the y-axis. See attached.

Answer:

12 red marbles

Step-by-step explanation:

9/4.5 to get 2 white marbles

54/4.5 to get 12 white marbles

Answer:

Rational

Step-by-step explanation:

Rational numbers:

Rational numbers are such numbers that can be expressed in the form p/q, where the value of q must not be equivalent to 0.

Irrational numbers:

These numbers cannot be expressed in the form p/q, where the value of q must not be equivalent to 0.                                                                                                                                          

[tex]\implies 2.89 = \dfrac{289}{100} \ \ \text{[In} \ \frac{\text{p}}{\text{q}} \ \text{form (\text{q}} \neq 0)]}[/tex]

Thus, 2.89 is a rational number.

Answer:

negative linear

Step-by-step explanation:

as you see the correlation is going negative in a linear line.

Answer:

a

Step-by-step explanation:

you can see on y in which range the line goes, I hope its correct

Answer:

Step-by-step explanation:

None of them its:

-3.2 ≤ y ≤ 4.

Answer:

B. 2

Step-by-step explanation:

So when we are dealing with exponents identify the following terms

Base:  the number being multiplied by itself

Exponent: the number of times you multiply the base number by itself

So in this problem we would have to find what x is in order to find our exponents, you can do this by substiting each number for x and solving as  is

[tex]3^4=3*3*3*3=81[/tex]

[tex]9^2=9*9=81[/tex]

Answer:

23

Step-by-step explanation:

this is because it is 23

Answer:

speed=distance ÷time

speed=748÷12

speed=6.333

Answer:

  D)  2

Step-by-step explanation:

When solving a system of equations using elimination, it often works well to start with them in a form that has all of the variables on the same side of the equal sign. Putting the second equation into standard form will accomplish that:

To eliminate one of the variables from the system, the equations are multiplied by numbers and combined (added or subtracted) so that the coefficient of one of the varibles becomes 0.

__

The coefficients of x are 3 and 2. If we are to eliminate x, we either need to multiply one equation by a rational number (2/3 or 3/2), or we need to multiply the two equations by two different numbers (2, 3).

The coefficients of y are -2 and 1. If we are to eliminate y, it is convenient to multiply the second equation by 2. This is probably the most convenient choice.

__

Multiplying the second equation by 2 and adding it to the first equation, we have ...

  (3x -2t) +2(2x +t) = (4) +2(5)

  7x = 14 . . . . . simplify; the y-variable is eliminated

  x = 2 . . . . . . divide by 7

Using the original second equation, we have ...

  2(2) -5 = -t = -1

  t = 1

So, the solution is (x, t) = (2, 1).

Answer:

Once the equation is given, the question can be answered, with no equation, no one can find the answer

Step-by-step explanation: I will edit my answer when the equation is given

Answer: a

Step-by-step explanation:

Answer:

28 Inches more

Step-by-step explanation:

1 ft = 12 in

He needs 4ft

12x4=48

So he needs 48 inches

He has 20 inches

48-20=28

He needs 28 inches

Answer:

---------------HeyA AtorO ----------------------

[tex] \large{ \tt{ \star \: S \: O \: L \: U \: T \: I \: O \: N : }}[/tex]

∠C = ∠A = 123° & ∠C = ∠D = x ° { suppose }

[tex] \tt{ \star \: {123 \degree + 123 \degree + x + x = 360 \degree}}[/tex]

[tex] \longrightarrow \tt \: 246 + 2x = 360[/tex]

[tex] \longrightarrow \tt \: 2x = 360 - 246[/tex]

[tex] \longrightarrow \tt 2x = 114[/tex]

[tex] \longrightarrow \tt \: x = \boxed{ \tt{57}}[/tex]

----------- HappY LearninG <3 ------------------

Answer:The fourth option

decreases by 1 minute every 2 hours trained

Step-by-step explanation:

If y is how much it decreses its negative, and if the slope is -1/2 then they decrease by one for every 2 hours since the two represents x.