What are the solutions of the quadratic equation p^2+3p-28=40

Answers

Answer 1

Answer:

the answer is  =-3±[tex]\sqrt{281}[/tex]/2

Step-by-step explanation:

Answer 2

Answer:

             [tex]\bold{p_1\approx6.88\ ,\qquad p_2\approx-9.88}[/tex]

Step-by-step explanation:

[tex]p^2+3p-28=40\\\\p^2+3p-68=0\\\\a=1\,,\ b=3\,,\ c=-68\\\\\\p=\dfrac{-3\pm\sqrt{3^2-4\cdot1\cdot(-68)}}{2\cdot1}=\dfrac{-3\pm\sqrt{281}}{2}\\\\p_1\approx6.88\ ,\qquad p_2\approx-9.88[/tex]


Related Questions

What is the circumference of a circle with a diameter of 9 inches.

Answers

Answer:

28.26 inches

Step-by-step explanation:

Given

diameter (d) = 9 inches

circumference (c)

= π d

= 3.14 * 9

= 28.26 inches

Math Teacher is giving extra credit to who ever can come up with the best theme for his kids birthday party!!!
I will give a Branliest!
Has To Be A Movie!!!!

You can choose

A. Hunger Games

B. Men in Black

C. Classic Horror Movies

D. Jurassic Park


OR!!

Awnser With your own suggestion!!!!!!!

Answers

Step-by-step explanation:

i think it is sponge Bob square pants

What is the area of a parallelogram with a base of 14 feet and a height of 6 feet? Make sure you label your answer correctly too.

Answers

Answer:

84 Square Feet.

Step-by-step explanation:

In order to calculate the area of a parallelogram, just multiply base by height. So the area of this parallelogram is 14 x 6 = 84 Square Feet.

what is the distance between (5 , 2)and (-1 , 4)

Answers

Answer:

6.32                  or             2 x sq rt 10

Step-by-step explanation:

6 along x axis, 2 along y axis

using the Pythagorean theorem

6^2+2^2=40

sq rt 40=6.32         or           2 x sq rt 10

By what percent will a fraction change if its numerator decreases by 85% and the denominator decreased by 25%

Answers

Let x/y be the original fraction.

After decreasing the numerator by 50% and decreasing the denominator by 25%, the fraction is:

(x - 0.5x) / (y - 0.25y) = (0.5x) / (0.75y)

 = (2/3)(x/y) = 66 2/3% of x/y

So, the fraction decreased by 33 1/3%.  

The correct answer is 80%

A high school sponsored a badminton tournament. After each round, one-half of the players were eliminated. If there were 64 players at the start of the tournament, which equation models the number of players left after round 3?
(1) y=64(1-.5)^3
(2) y=64(1+.5)^3
(3) y=64(1-.3)^.5
(4) y=64(1+.3)^.5

Answers

Answer:

(1) y = 64(1 - .5)^3

Step-by-step explanation:

(1) y = 64(1 - .5)^3

If you are eliminated half, then you are removing 50% or .5 of the teams. The number of teams is getting smaller, so eliminate the choices with "+". The exponent refers to the number of rounds.

This is an easy one to check: 64, 32, 16, 8. There are 8 teams after three rounds.

y=64(1 - .5)^3

y= 64(.5)^3

y= 64(.125)

y= 8

PLEASE THIS IS MY THIRD TIME ASKING TODAY I NEED HELP!!!
please only answer if you know how to do this!

Answers

Answer:

The answers are:

Step-by-step explanation:

1)Adjacent

2)Vertical

3)Corresponding

4)None of these

5)1,7  3,5  4,6  2,8 (<--angle numbers)

6)4,5  2,7 (<--angle numbers)

7)1=85, 2=95, 3=85, 4=85

8)1=60, 2=120, 3=60, 4=120

9)1=90, 2=90, 3=90, 4=90

10) No, they are not parallel. A protractor would show that the intersection angles are different, meaning the lines aren't parallel.

SORRY it took so long hope this helps!!

Answer:

1.

adjacent

2.

vertical

3.

corresponding

4.

none (just regular interior and thats not an option)

5.

(<5,<7) (<6,<8) (<1,<3) (<2,<4)

6.

(<2,<7) (<6,<3)

7.

<1= 85

<2= 95

<3= 85

<4= 85

8.

<1= 60

<2= 120

<3= 60

<4= 120

9.

<1= 90

<2= 90

<3= 90

<4= 90

10. No, its not parallel because the corresponding angles 1 and 7 aren't equal. You can use a protractor to figure this out by finding the measurement of angles 1 and 7. Because they aren't equal degrees, the lines will cross at some point

2.5 pounds of grapes cost $2.25 what is the cost per pound

Answers

Answer:

$0.9 per pound

Step-by-step explanation:

$2.25 divided by 2.5

Answer:

$0.9 per pound

Step-by-step explanation:

$2.25 divided by 2.5

divide the cost of the item by its weight in pounds

Find the value of x. Round to the nearest tenth.

Answers

Answer:

14.8

Step-by-step explanation:

cos 36° = 12/x

x = 12 /cos 36°

A square has an area of 64 square units. If its sides were only half as long, what would its area be?​

Answers

Answer:

16

Step-by-step explanation:

the sides now are 8x8

1/2 of that is 4x4 and 4x4=16

geometry help multiple choice trig

Answers

Answer:

14/50

General Formulas and Concepts:

Math

Reducing Fractions

Trigonometry

[Right Triangles Only] SOHCAHTOA  [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

sin∠C

Opposite Leg of ∠C = 14

Hypotenuse = 50

Step 2: Find

Substitute in variables [Trig - Sine]:                                                              sinC = 14/50

Answer:

14/50

Step-by-step explanation:

For angle C, 14 is the opposite leg. The hypotenuse is 50.

sin C = opp/hyp

sin C = 14/50

Answer: 14/50

A recipe uses 2 cups of milk to make 4 servings. If the same amount of milk is used for each serving, how many servings can be made from three pints?

Answers

Answer:

12 servings

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

Adam made note of all the bicycles and cars he could see parked or locked on a
certain city block. All the cars had exactly four wheels, and all the bicycles had exactly
two wheels. How many wheels were on the block if there were 15 bicycles and 7 cars?
How many wheels were on the block if there were x bicycles and y cars?

Answers

Answer  

68 bicycles.  

Let there be x bicycles, then there are (93 - x) tricycles.

From the given values:

2x + 3(93 - x) = 211

2x + 279 - 3x = 211

-x = 211 - 279 = -68

x = -68/-1 = 68.

Hence, the wheels were on the block if there were [tex]x[/tex] bicycles and [tex]y[/tex] cars are [tex]x=68[/tex] bicycles.

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving. '

Here given that,

Adam made note of all the bicycles and cars he could see parked or locked on a certain city block. All the cars had exactly four wheels, and all the bicycles had exactly two wheels.

Suppose that there are [tex]x[/tex] bicycles, then there are [tex](93 - x)[/tex] bicycles.

So,

[tex]2x + 3(93 - x) = 211\\2x + 279 - 3x = 211\\-x = 211 - 279 = -68\\x = \frac{-68}{-1}\\x= 68.[/tex]

Hence, the wheels were on the block if there were [tex]x[/tex] bicycles and [tex]y[/tex] cars are [tex]x=68[/tex] bicycles.

To know more about the simplification

https://brainly.com/question/11589761

#SPJ2

(100 POINTS!!!) PLEASE HELP ME!!! FIRST TO ANSWER WILL GET BRAINLIEST! 14:40 LEFT!

Answers

Answer:

the third one

Step-by-step explanation:

Answer:

that would be c

Step-by-step explanation:

Horse kg of grass in 12 days how much how much does he eat in 9 days​

Answers

Step-by-step explanation:

The horse eats 9/12 in 9 days.

You have 0.2 liter of an acid solution whose acid concentration is 16 moles per liter. You want to dilute the solution with water so that its acid concentration is only 12 moles per liter. Use the given model todetermine howmany liters of water you should add to the solution.

Answers

Answer: 0.067 litres of water

Step-by-step explanation:

The mode is:

Concentration of new solution = Moles of acid in original solution / (Volume of original solution + Volume of water added)

Assume volume of water added is w.

12 = 16 (0.2) / (0.2 + w)

(0.2 + w) * 12 = 3.2

0.2 + w = 3.2 / 12

w = (3.2 / 12) - 0.2

w = 0.067 litres of water

The amount of water you should add to the solution is 0.067 liters.

Given

You have 0.2 liters of an acid solution whose acid concentration is 16 moles per liter.

You want to dilute the solution with water so that its acid concentration is only 12 moles per liter.

The concentration of new solution;

You can also use the solution dilution calculator in order to calculate the concentration of ions in a diluted solution.

The amount of water you should add to the solution is given;

[tex]\rm Concentration \ of \ new \ solution =\dfrac{\text{Moles of acid in original solution } }{\text{Volume of original solution + Volume of water added}}\\\\12=\dfrac{16(0.2)}{0.2+w}\\\\12 (0.2+w)=16(0.2)\\\\2.4 +12w=3.2\\\\12w=3.2-2.4\\\\12w=0.8\\\\w=\dfrac{0.8}{12}\\\\w=0.067[/tex]

Hence, the amount of water you should add to the solution is 0.067 liters.

To know more about concentration click the link given below.

https://brainly.com/question/882576

what is the unit rate of 180 to 4

Answers

Answer:

18/4=45

Step-by-step explanation:

Please help me I am struggling I’m only in 6th grade doing harder math

Answers

Answer:

-7a+11

Step-by-step explanation:

*WILL GIVE BRAINLIEST 15 POINTS*

Find the volume of the triangular prism:

formula: V=12x base x height x length

Question 4 options:

A: 39 units3
B: 90 units3
C: 1,944 units3
D: 972 units3

Answers

The answer is D, this is because 9 times 12 times 18 equals to 1944 that times 1/2 basically means divided by two if you divide 1944 by 2 you get 972.

what is the classification of the triangle by its angles and by its sides??
ANSWER ASAP!!! PLS

Answers

Answer:

right triangle

Step-by-step explanation:

whenever there is a box in the corner it means its 90° and 90° is a right angle.

(3/8)^-2(1/3x3/8)^3(1/3)^4

Answers


1/157464 x^9 is the answer

*I need to show work*
Suppose you have 11 coins in your pocket. You have nickels and dimes and they total $0.65. How many of each do you have? ​

Answers

Answer:

2 dimes and 9 nickles.

Step-by-step explanation:

2 dimes = 20cents

9 nickles = 45cents

20+45=65cents

2+9=11coins

how do you simplify this
8-6/3
6*8/3

Answers

The answer for the equation 8 - 6/3 is,

6.

The answer for the equation 6 × 8/3 is,

16.

helppp pleaasssseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

54.3701 feet or 16.57200648 meters

Step-by-step explanation:

ASAP please help me correct this if it is wrong

Answers

Answer:

I believe the answer for the first one is -3, 3, number 3 would be 12

Step-by-step explanation:

Because if you are dilating by 1/3 then you will be dividing by 3, so if your point A coordinates are -9,9 then that divided by 3 is -3,3

Number 3 is 12 because your total of units from point D to C is 18 and it says to dilate by scale factor of 2/3 which again means to divide by 2/3 making your new length 12 units.

50 PTSSSSSSSSSSSSSSSSSS
The expression 500(1.03)t models the population of a city in thousands of people t years since 2010. Based on this model, answer the following question: What is the expected population in the year 2025?

Answers

Answer:

515

Step-by-step explanation:

I NEED HELP ASAP!!!!!!!!

Answers

Step-by-step explanation:

[tex]slope = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1} \\ = \frac{ - 7 - 13}{5 - ( - 3)} \\ = \frac{ - 20}{8} \\ = \frac{ - 2 \times 10}{2 \times 4} \\ = \frac{ - 10}{4} \\ = \frac{ - 2 \times 5}{ 2 \times 2} = \frac{5}{2} [/tex]

The express elevator in the Empire State Building in New York City travels nonstop from
the ground floor to the top floor at a rate of 1,400 feet per minute.
The express elevator in the John Hancock Center in Chicago travels nonstop from the
ground floor to the observatory on the top floor at a rate represented by the equation
y = 30x, where y is the height, in feet, and is the number of seconds
Graph the two relationships on the grid below to compare the rates of the
two elevators,
ELEVATOR RATES
I
Height (feet)
1,000
900
800
700
600
500
400
300
200
100
0
10
40
50
20 30
Time (seconds)
Which elevator travels at a faster rate?
Using the information from the graph, explain how you got your answer.

Answers

The elevator of  John Hancock Center in Chicago travels at a faster rate.

The standard equation of a line is y = m + bm is the slope or rate of changeb is the y-intercept.

For the equation represented by the height of the elevator of  John Hancock Center in Chicago given as y = 30x, the rate of change is 30 ft/s which is equivalent to 1800 per minute.

Since the express elevator in the Empire State Building in New York City travels nonstop from  the ground floor to the top floor at a rate of 1,400 feet per minute, hence the elevator of  John Hancock Center in Chicago travels at a faster rate.

Learn more on rate here: https://brainly.com/question/8728504

In order to solve the system of equations below, Harvey multiplies each equation by a constant to eliminate the x
terms.
7x+ 3y = 5
2x+5v=-11
What are the resulting equations?

Answers

Answer:

14x + 6y = 10

14x + 35y = -77

Step-by-step explanation:

Multiply the top one by 2

14x + 6y = 10

Multiply the bottom one by 7

14x + 35y = -77

His next step is to subtract. You could have done this by multiplying the top one by -2

-14x - 6y = - 10

14x + 35y = -77     Now all you need do is add.  The question now becomes what do you do? What answer do you give? I think the expected answer is the top two equations, but if I was actually doing the problem, I'd use the bottom 2.

Answer:

A) 14x + 6y = 10

-14x - 35y = 77

Step-by-step explanation:

multiple the first equation by 2 and the second equation by -7

2( 7x + 3y = 5)

-7( 2x + 5y = -11)


14x + 6y = 10

-14x - 35y = 77

I NEED HELP ASAP PLEASE​

Answers

Answer:

1679616

Step-by-step explanation:

6*6

36*36*36*36

Answer:

[tex]6^{8}[/tex]

Step-by-step explanation:

[tex](6^{2})^{4} = 6^{2*4} = 6^{8}[/tex]

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