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

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 =

Answers

Answer 1

Answer:

B. and C.

Step-by-step explanation:

1. Set the polynomial equal to zero:

x² + 5x + 7 = 0

2. Plug the given values of a, b, and c into the quadratic formula:

[tex]x=\frac{-5+-\sqrt{5^{2}-4(1)(7) } }{2(1)}[/tex]

3. Solve the square root:

[tex]x=\frac{-5+-\sqrt{25-4(1)(7)} }{2(1)}[/tex]

[tex]x=\frac{-5+-\sqrt{25-28} }{2(1)}[/tex]

[tex]x=\frac{-5+-\sqrt{-3} }{2(1)}[/tex]

4. Simplify the rest:

[tex]x=\frac{-5+-\sqrt{-3} }{2}[/tex]

5. Separate the solutions:

[tex]x=\frac{-5+\sqrt{-3} }{2} , x=\frac{-5-\sqrt{-3} }{2}[/tex]

Thus, options B and C are the answers.

hope this helps!


Related Questions

A skateboard is marked 20% off. If the board originally cost $45.00, what is the sale price?

Answers

Answer:

$36.00

Step-by-step explanation:

given:

original cost= $45.00

discount= 20%

to find:

the sale price of the skateboard.

solution:

[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

Bowling alley charges a fee for every game bowled plus initial fee for shoe rental.

Answers

Answer:

Whats the numbers can u give me them?

Step-by-step explanation:

find the value of each variable. 3x 2y 34

Answers

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!

PLEASE HELP WILL MARK BRAINLIEST THANK YOU

Answers

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.

PLEASE HELP WILL MARK BRAINLIEST THANK YOU

Answers

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

Is 2.89 rational or irrational

Answers

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.

Solve x2 − 20 = 0. If necessary, round to the nearest hundredth.
±4.47
400
±40
There is no solution as you cannot take the square root of a negative number.

Answers

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]

What is the area, in square units, of a rectangle XWYZ, with vertices X(0, 0) W(0,7) Y (3,7) Z(3,0)? ​

Answers

Answer:

21

Step-by-step explanation:

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

I NEED HELP ASAP! PLEASE LET ME KNOW WHICH ONE

Answers

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

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

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

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

We're provided a parallelogram ABCD. You must have known that the opposite angles of parallelogram are always equal.

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

Set up an equation & solve for x :

[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]

Hence , Our final answer is 57° .

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

A golfer hits a ball from an elevated tee 75 feet high at an initial velocity of 115 ft/sec at angle of elevation of 57⁰ a. Write a parametric equation that describes the position of the ball at time t.

Answers

parametric equation

x=115tcos57

y=115tsin57-16t^2

For what value of x does 32X = 93x-4?
=
1
2
3
4

Answers

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]

Mr Ahmad bought 2 fans and 3 table lamps for $540. Each fan cost 3 times as much as a table lamp. (a) Find the cost of each table lamp. (b) Find the cost of each fan.​

Answers

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.

Pls help me
Pls show your answer pls and thank you

Answers

Answer: Option C

Step-by-step explanation:

Given the diagram below, if CD = x + 4,
DE = 2x + 7, and CE = 7x-25, what is the value
of x?

Answers

Answer:
9

Explanation :
check out my attached work
Hope it helps, let me know if you have any questions !
Have a nice rest of your day :)

I hope this I better than the blurry photo I took '-'​

Answers

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.

A 400 pound metal star is hanging on two cables which are attached to the ceiling. The left hand cable makes a 18° angle with the ceiling while the right hand cable makes a 72° angle with the ceiling. What is the tension on each of the cables? (Round your answers to three decimal places.)

Answers

Answer:

left: 123.607 lbright: 380.423 lb

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.

left cable (a)

  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

right cable (b)

  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)

An evangelist traveled 748 miles in 12 hours
to get to his next meeting. What was his average rate of speed? (Write answer as a mixed number.)
pls and thank you :)​

Answers

Answer:

23

Step-by-step explanation:

this is because it is 23

Answer:

speed=distance ÷time

speed=748÷12

speed=6.333

Please help! i’m horrible at math and i don’t want to fail!!! 6-1: MathXL for School: Practice & Problem Solving
Due 04/27/
5.1.PS-13
Question Help
A bag contains 9 white marbles and 54 red marbles. If a representative sample contains 2 white
marbles, then how many red marbles would you expect it to contain? Explain.
Because the ratio of white marbles to red marbles is in the population, the expected number of
red marbles is times the number of white marbles in the representative sample. There should be
red marbles.

Answers

Answer:

12 red marbles

Step-by-step explanation:

9/4.5 to get 2 white marbles

54/4.5 to get 12 white marbles


PLEASE HELP ME WITH THIS!!!

Answers

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

Select the correct answer.
Which statement is true about this equation?



A.
It represents neither a relation nor a function.
B.
It represents a function only.
C.
It represents both a relation and a function.
D.
It represents a relation only.

Answers

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:

se the number line to answer the question.


A number line has end points marked at 5 tenths and 6 tenths with 9 tick marks between. Point A is labeled on the third mark after 5 tenths.


Select all of the following that give the value of point A.


A.

53

100

B.

5

3

100

C.

53

10

D.

0.53


E.

5.3

Answers

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:

Part A)
Please solve this system of equations using the elimination method ONLY.

3x - 2t = 4
2x - 5 = -t

Part B)
Which number is the most convenient to multiply by when solving this linear system of equations by elimination?

A) -3
B) -1
C) 1
D) 2

Thank you in advance.

Answers

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:

3x -2t = 42x +t = 5

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.

__

Choosing a multiplier

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.

__

Solution

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).

Kyle needs 4 feet of ribbon for an art project. He has 20 inches of ribbon. How many
more inches does Kyle need for the project?
1 foot = 12 inches

Answers

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

can someone help me pls

Answers

Part A

Multiply each age with its corresponding frequency

19*2 = 3820*3 = 6021*1 = 2122*4 = 8823*1 = 23

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

Answer: 20.9

Nice work on getting the correct answer.

============================================================

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

Answer: 34

I need help with a question.

Some students are playing a game. they roll a number cube and spin the arrow on a spinner on each turn.

-The number cube has sides numbered 1 through 6.
-The spinner has 3 equal-sized sections colored red(r), yellow(y), and blue(b).

This tree diagram shows the sample space for the possible outcomes of rolling a number cube one time and then spinning the arrow on the spinner once.(I'll put the diagram on the bottom)

What is 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?
A. 1/3
B. 3/6
C. 3/18
D. 9/16

Answers

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

What is Probability?

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

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ2

What is the range of the relation below?

Answers

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.

Describe the pattern

Answers

Answer:

negative linear

Step-by-step explanation:

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

Can yall help me please

Answers

Answer:

Im not good at math just breath and dont psnik

Step-by-step explanation:

The radius of the sphere is 10 units. What is the approximate volume of the sphere? Use 3.14 round to nearest whole cubic unit

Answers

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.

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