Which are the solutions of the quadratic equation?
x2 = -5x - 3
-5,0
-5 = V13, -5 + /15
5 - 13
2
5 + 13
2
5,0

Answers

Answer 1

The solution to the system of equation is [tex]x=\frac{-5\pm \sqrt{13)}}{2}\[/tex]

The Solution to a quadratic equation

Given the quadratic expression

x^2 = -5x - 3

Equate to zero

x^2+5x+3 = 0

Using the general formula will give:

[tex]x=\frac{-5\pm \sqrt{25-4(1)(3)}}{2}\\ x=\frac{-5\pm \sqrt{13)}}{2}\\[/tex]

Hence the solution to the system of equation is [tex]x=\frac{-5\pm \sqrt{13)}}{2}\[/tex]

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Related Questions

15. In the circle, AB = 34, BC = 12, and CD = 8. The diagram is not drawn to scale. (1 point)
D
B
A
What is the value of x?
x= 61
x=69
x= 154
x=43

Answers

Answer:

The value of x is x=61

Explanation:

A bicycle lock requires a two-digit code of numbers 1 through 9, and any digit may be used only once. Which
expression would determine the probability that both digits are even?
P(both even) - POM).
P(both even) = 491)36)
.
P(both even) = (PGP).
5P2
P(both even) = 6)66).

Answers

Answer:

what math is this

Step-by-step explanation:

A cake has two layers. Each layer is a regular hexagonal prism. You cut and remove a slice that takes away one face of each prism as shown. What is the volume of the​ slice? What is the volume of the remaining​ cake? Use pencil and paper. Describe two ways to find the volume of the slice.6 in. 5.2 in. 6.9 in. 4 in. 3 in. ​(The figure is not to​ scale.)

Answers

Answer:

Volume of slice is  40 in³

Volume of the remaining cake is 197.014 in³

HOPE THIS HELPS!

On a math test, 5 out of 20 students got an A. If three students are chosen at random without replacement, what is the probability that all three got an A on the test?

Answers

Answer:

5

Step-by-step explanation:

Log base 32 of 2
Help

Answers

Answer:

[tex]log_{32}(2)=0.2[/tex]

Step-by-step explanation:

Recall that the unknown (x) here is the log base 32 of 2, so we can write this as the equation:

[tex]log_{32}(2)=x[/tex]

The above equation can be solved by the "change of base formula":

[tex]x=\frac{log(2)}{log(32)} \\x=0.2[/tex]

We can also answer this by trying to solve the exponential equation:

[tex]32^x=2[/tex]

Where we are asked what is the exponent (x) at which we need to raise the base (32) in order to obtain the answer "2"?

Notice that since

[tex]2^5=32[/tex]

Then [tex]32^{1/5} = 2[/tex]

And 1/5 = 0.2 which also agrees with our previous answer

Determine whether each table represents a linear, quadratic or exponential function.
Table A
Table B:
Table C
X Y
Y
X
20
18
5
0
5
7
2
11
3
6
9
29
2
16
3
4
83
3
13
23
37
55
5
245
4
5
11
27
39
12
4
-4
6
731
Table A
Select a Value
Table B:
Select a Value
Table
Select a Value

Answers

Answer:

I can not give an answer

Step-by-step explanation:

Please include a picture or describe the question so it is clear. I am sorry but I can not give an answer.

hi got a question!
Four-sided figures with equal opposite angles are called?​

Answers

Answer:

Rhombus is the figure with four sided and equal opposite angles

Michel started to drive from New York to Washington, DC, which is 120 miles away, at 7:00 AM. For the first hour and a half of her trip, Michel was driving at a speed of 50 mph. What was her average speed during the second part of the trip, if she reached Washington at 10:00 AM?

Answers

Answer:

The average speed on the second part was 30 mph.

Step-by-step explanation:

The whole trip between New York and Washington is 120 miles. On the first part he drove at 50 mph for 1.5 h, from 7 AM to 8:30 AM, therefore he drove a distance of:

distance = speed*time = 50*1.5 = 75 miles

So the second part had a length of 120 - 75 = 45 miles. With an elapsed time of 1.5h, therefore the average speed was:

speed = distance / time

speed = 45 / 1.5

speed = 30 mph

The average speed on the second part was 30 mph.

Apply the formula of each shape to determine the
volumes
What is the exact volume of the composite figure?
V=
л cm3

Answers

V (cone) = (1÷3) × (r×r×h) л cm3

3 cone = 1 cylinder (if "h" and "r" is same)

There is two cone...

1st one: (1÷3) × 3×3×5 л cm3 = 15л cm3

2nd one: (1÷3) × 3×3×8 л cm3 = 24л cm3

15 + 24 = 39л cm3

The exact volume of the composite figure is,

⇒ 122.46 cm³

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Radius of cone = 3 cm

Upper height of cone = 5 cm

Lower height of cone = 8 cm

Now, We get;

Volume of cone = πr²h / 3

Hence, For upper cone is,

⇒ V = 3.14 × 3² × 5 / 3

⇒ V = 47.1 cm³

For lower cone is,

⇒ V = 3.14 × 3² × 8 / 3

⇒ V = 75.36 cm³

Thus, The exact volume of the composite figure is,

⇒ 47.1 + 75.36

⇒ 122.46 cm³

Learn more about the mathematical expression visit:

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number 8 and 9 pls, if u answer u get brainlist rank!

Answers

Answer:

8.

Denote the equation : y = ax + b

Use the first 2 values of x and y in table:

3a + b = 21

5a + b = 35

Subtract the 2 equations:

=> 2a = 14 => a = 7 => b = 21 - 3 x 7 = 0

=> The solution is  y = 7x

9.

Denote the equation : y = ax + b

Use the first 2 values of x and y in table:

5a + b = 17

10a + b = 22

Subtract the 2 equations:

=> 5a = 5 => a = 1 => b = 17 - 5 x 1 = 17 - 5 = 12

=> The solution is  y = x + 12

Hope this helps!

:)

Which graph shows the line y-2 = 2(x + 2)?


Answers

Answer:

A. Graph B

Step-by-step explanation:

a water tank composed of two hemispheres and a cylinder is being constructed as shown below. if the cylinder portion of the tank has a circular cross-section with a circumference of 6 feet, how many cubic feet of water can it hold?

Answers

Answer: I’d the circumference is 6 it would be 6 x 3.14

Step-by-step explanation:

How do you find equivalent ratios? (Please put explanation)

Answers

Two ratios that are equivalent are the same in value. We call these equivalent ratios. To find an equivalent ratio multiply or divide both of the numbers by a common number (or same number), this would be the exact same when finding equivalent fractions as well.

i really need to know the answer for 16−2r=−3r+6r+1

Answers

Answer:

r=3

Step-by-step explanation:

16-2r=-3r+6r+1

16-2r=3r+1

16=5r+1

5r=15

r=3

Shelly paid a total of $15 for bags of candy she ordered on-line. The cost of each bag was $0.75 and shipping was a flat rate of $3.00. How many bags of candy did Shelly order?

a. 5
b. 9
c. 16
d. 24

Answers

Answer:

16

Step-by-step explanation:

I had a test like this and I got an 100%

The number of bags of candy that Shelly ordered is 16.

What is Division?

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Given hat,

Total amount that Shelly paid = $15

Shipping flat rate = $3

Total amount for the bags = 15 - 3 = $12

Cost of each bag = $0.75

Number of bags bought = 12 / 0.75 = 16

Hence the total number of bags is 16.

Learn more about Division here :

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Which system of linear inequalities is represented by the graph below?

Answers

Answer: Option 1

Step by step explanation: i graphed it using desmos

What is the volume of a rectangular prism with the base of 15 inches, width of 3 inches, and height of 8 inches

Answers

Answer:

360

Step-by-step explanation:

v = length x width x height

v = 15 x 8 x 3

v = 360


What is the inverse
he function g(x) = 5(x-2)

Answers

Answer:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=5x+2 f - 1 ( x ) = 5 x + 2 is the inverse of f(x)=5x−2 f ( x ) = 5 x - 2 .

Step-by-step explanation:

Answer:

1/5x+2

Step-by-step explanation:

if ur doing it on khan academy this is the right answer

It costs $20.50 to enter an amusement park and $0.25 to ride a ride. You have $21.50. Write an equation that represents the number r of rides you can ride.

An equation is
________ =21.50.

Answers

Answer: 0.25r + 20.50= 21.50; You'd only be able to go on four rides.

Let r represent how many rides you can go on

21.50-20.50 ( Money you have now - cost to enter), this leaves you with $1 left.

0.25r = $1

0.25(4)= $1

Therefore r =4. And you would only be able to go on four rides.

Answer:

4

Step-by-step explanation:

[tex] 0.25\:r + 20.50 = 21.50\\

0.25\:r = 21.50 - 20.50\\

0.25\:r = 1\\

r = \frac{1}{0.25}\\

r = \frac{100}{25}\\

r = 4\\[/tex]

 A bag contains​ pennies, nickels,​ dimes, and quarters. There are 50 coins in all. Of the​ coins, 12​% are pennies and 34​% are dimes. There are 5 more nickels than pennies. How much money does the bag​ contain?

Answers

Answer:

6 pennies , 17 dimes and 11 nickels and 16 quarters

Amber has a bag of 24 marbles. 7 marbles are red, 5 marbles are blue, and the rest are pink. James takes out two marbles without replacing them. What is the probability that they are both blue?

A. 5/24


B. 5/138


C. 5/144


D. 25/576

Please help I’ll give branliest

Answers

Answer:

the answer is b im sorry if my math is wrong

Step-by-step explanation:

The answer is Option D, 25/576.

Probability is the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

How to find the probability that the chosen marbles are both blue?

Given that Amber has a bag of 24 marbles. 7 marbles are red, 5 marbles are blue, and the rest are pink. James takes out two marbles without replacing them.

The probability of getting a blue marble is 5/24.

(The ratio of the number of blue marbles to the total number of marbles)

The probability of getting two blue marbles is

=> 5/24×5/24 = 25/576.

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Select the word problem that represents the expression 3 ÷ 1/8

Answers

Answer:

How many pieces of pizza do you have if you split 3 pizzas into 1/8 parts?

Step-by-step explanation:

Pls help me on this rq

Answers

Answer:

second answer

Step-by-step explanation:

n is greater than -6 and less than 8 bc the number has to be inbetween -6 and 8, so those are the only ones thatmake snse

The screen on the iPhone 11 had a base of 51.7mm and a height of 90.39 find the area

Answers

Answer:

did u just ask this junk for fun if u did get a life

Step-by-step explanation:

Answer:

The answer would be 4673.163.

Step-by-step explanation:

All you do is multiply 90.39 and 51.7 and get your answer.

Solve the equation for y.
4.2.1 – 1.4y = 2.1

Answers

Answer:

y=−1.2

Step-by-step explanation:

Please mark me brainllest!!!!!!!!!!!!!!

what is −1/2 + 4/9 ?

Answers

Answer:

-1/18

Step-by-step explanation:

Answer:-1/18

Step-by-step explanation:

Hope I helped

(Questions like these can be solved by a calculator)

PLEASE HELP ME! THIS IS DUE AT 5, AND IM RLLY CONFUSED. I NEED TO SHOW WORK AS WELL. I WILL GIVE BRAINLIEST AND 20 POINTS

Answers

Answer:

1. Andrew- 24

  Brandon-  6      

  Carlo- 10

  oh god idk

2. he would have to get 100% because 90+90=180 and 180-80-100 and so 100+80=180 and 180/2=90 so 100%

3. 92.6 because 90+98+96+94+85=463 and 463/5=92.6 and 463+92.6=555.6 and 555.6/6 is 92.6 which is ultimately 92

4. idk understand stem and leaf plots but this is how you find a median

The median is also the number that is halfway into the set. To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers.

Step-by-step explanation:

Which is the graph of the linear inequality {x – 2y> 6?
1
4 db
to to to the
O

Answers

This is what I think your looking for

PLEASE ANSWER THIS QUESTION CORRECTLY AND I WILL MARK YOU AS THE BRAINLIEST

Answers

Answer:

2.    [tex] (x - 4)^2 = 23 [/tex]

Step-by-step explanation:

[tex] x^2 - 8x - 7 = 0 [/tex]

[tex] x^2 - 8x ~~~~~ = 7 [/tex]

[tex] x^2 - 8x + 16 = 7 + 16 [/tex]

[tex] (x - 4)^2 = 23 [/tex]

A restaurant offers 6 kids meal prizes. The prizes are placed in the meals at random. Describe a model that could be used to simulate selecting one of the prizes

Answers

Answer:

You could use a dice.

Step-by-step explanation:

This then shows that if there 1 meal you want, it shows a 1 in 6 chance to get but not always. For example you could roll the dice and it hit the 1st meal prize three times and not the 5th meal prize once.    

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