What is the value of the discriminant for the quadratic equation –3 = –x2 + 2x?

Discriminant = b2 – 4ac

–8
4
8
16

Answers

Answer 1

Answer:

16

Step-by-step explanation:

The quadratic equation –3 = –x2 + 2x must first be rewritten in standard form:  

x^2 - 2x - 3 = 0

or:

1x^2 - 2x - 3 = 0

The coefficients a, b and c are thus {1, -2, -3}, and therefore the discriminant, b^2 - 4ac, is

(-2)^2 - 4(1)(-3), or 4 + 12 = 16

Answer 2

Answer:

d) 16

Step-by-step explanation:

edge 2020-2021


Related Questions

Find the length of the missing side

Answers

Answer:

43.7378554573

Step-by-step explanation:

use pythagoream thereom :D

Help me on this and where do I put the dots?

Answers

Step-by-step explanation:

for the first one vount down 7 from -2 then for the second one its right on 5

What is the angle measurement of the angle EFG
Helpp!!​

Answers

Answer:

∠EFG = 151°

Step-by-step explanation:

∠EFG = 44° + 107° = 151°

if cos a=0•8, what Is the value of tan a​

Answers

Answer: 0.75

Step-by-step explanation:

Cos A = 0.8 = 4/5

Note that:

sin = opposite / hypotenuse

cos = adjacent / hypotenuse

tan = opposite / adjacent

Since cos = adjacent / hypotenuse

Therefore, we need to find the opposite which will be:

Hypothenuse² = Opposite² + Adjacent²

5² = Opposite² + 4²

Opposite² = 5² - 4²

Opposite² = 25 - 16

Opposite² = 9

Opposite = ✓9

Opposite = 3

Since tangent = opposite / adjacent

Tan a = 3/4 = 0.75

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Answers

Given:

Grocery store located at point (5,-4).

Park is located at point (-5,4).

Paula's house is halfway between the Grocery store and park.

School is halfway between the Paula's house and park.

To find:

Ordered pair for the school.

Solution:

Formula used:

[tex]\text{Midpoint}=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Paula's house is halfway between the Grocery store and park. It means the location of Paula's house is the midpoint of (5,-4) and (-5,4).

[tex]\text{Paula's house}=\left(\dfrac{5+(-5)}{2},\dfrac{(-4)+4}{2}\right)[/tex]

[tex]\text{Paula's house}=\left(\dfrac{0}{2},\dfrac{0}{2}\right)[/tex]

[tex]\text{Paula's house}=\left(0,0\right)[/tex]

So, the Paula's house is located at (0,0).

School is halfway between the Paula's house and park. It means the location of the school is the midpoint of (0,0) and (-5,4).

[tex]\text{School}=\left(\dfrac{0+(-5)}{2},\dfrac{0+4}{2}\right)[/tex]

[tex]\text{School}=\left(\dfrac{-5}{2},\dfrac{4}{2}\right)[/tex]

[tex]\text{School}=\left(-2.5,2\right)[/tex]

Therefore, the correct option is B.

Which is a true statement about the graph? es 0) A There is a relative maximum at x = 4. B) There is a relative minimum at x = 6. There is a relative minimum at x = -6. D There is a relative maximum at x = 10.​

Answers

Answer:

B-there is a relative minimum at x=6

Step-by-step explanation:

Can someone please help me ? I don’t understand this

Answers

63 divided by 95 and put into a calculator to get the nearest tenth of a %

Calcula el RIQ de las temperaturas en las Ciudades de Kansas, Misouri las temperaturas: 23,25,28,28,32,33,35 y en Paradise, Michigan. Las temperaturas: 16,24,26,26,26,27,28 *

Answers

Respuesta:

Kansas, Misuri = 8

Paradise, Michigan = 3

Explicación paso a paso:

El rango intercuartílico (IQR) = Q3 - Q1

Q3 = 3/4 (n + 1) th término

n = número de muestras

Q1 = 1/4 (n + 1) th término

Kansas Misuri:

23,25,28,28,32,33,35

Datos pedidos: 23, 25, 28, 28, 32, 33, 35

n = 7

Q1 = 1/4 * 8 = 2do trimestre = 25

Q3 = 3/4 * 8 = 6. ° tem = 33

Q1 = 33 - 25 = 8

Paradise, Michigan:

16,24,26,26,26,27,28

Datos pedidos: 16,24,26,26,26,27,28

Q1 = 1/4 * 8 = 2do = 24

Q3 =. 3/4 * 8 = 6to = 27

Q3 - Q1 = 27 - 24 = 3

Anna and Damien still haven't finished inventory for their pet store. They just received a shipment of 4 chinchillas. They already had 3 cages with 4 chinchillas in each. They then sold 3 chinchillas. How many chinchillas do they have?

Answers

Answer:

13 chinchilas

Step-by-step explanation:

3*4 is 12 plus 4 is 16 subtract 3 is 13

5e^5x =20
What is the approximate solution to this equation

Answers provided

Answers

Answer:

i think its B

Step-by-step explanation:

The appropriate solution to the equation; 5e^5x =20 is Choice D; x = 0.28.

From the question;

The equation given is; 5e^5x =20

To solve the given equation; we must evaluate x as follows;

First, we divide both sides of the equation by 5; so that we have;

e^5x = 20/5 = 4.

Next, we take the natural log of both sides so that we have;

5x = ln(4)

5x = 1.386

x = 0.28

Read more on natural log;

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A 50 foot ladder is set against the side of a house so that it reaches up 48 feet. If Shaniece grabs the ladder at its base and pulls it 10 feet farther from the house, how far up the side of the house will the ladder reach now? Round to the nearest tenth of a foot.

Answers

Answer: 43.9

Step-by-step explanation:

a

2

+

(

24

)

2

=

a

2

+(24)

2

=

5

0

2

50

2

Use the Pythagorean Theorem.

a

2

+

576

=

a

2

+576=

2500

2500

Simplify.

576

−576=

576

−576

Subtract 576 from both sides.

a

2

=

a

2

=

1924

1924

a

2

=

a

2

=

±

1924

±

1924

Square root both sides.

a

=

a=

43.863424...

43.863424...

Simplify. Ignore negative root, as length must be positive.

a

a≈

43.9

43.9

Round to the nearest tenth.

The ladder will reach 43.9 feet of the house.

What is the Pythagorean theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Given that, the height of the ladder is 50 feet and it reaches 48 feet of the house.

Note that the ladder the base and the side wall together make a right triangle whose hypotenuse is the ladder itself.

Therefore, the base of the right triangle is given by:
b² = 50² - 48²

b² = 196

b = 14

Now, the base is dragged by 10 feet, so the base of the new triangle is:
bₙ = 14 + 10

bₙ = 24

The height of the new triangle is:
hₙ = √(50² - 24²)

hₙ = √1924

hₙ = 43.9

Hence, the ladder will reach 43.9 feet of the house.

Learn more about the Pythagorean thoerem:

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A right triangle has leg lengths of 2.7 cm and 4.8 cm. What is the length of the hypotenuse? (Round to the
nearest hundredth if necessary.)
NO LINKS

Answers

Use Pythagorean theorem
a^2 + b^2 = c^2
c being the hypothenuse
2.7^2 + 4.8^2 = c^2
7.29 + 23.04 = c^2
c^2 = 30.33, c = squareroot 30.33
Use calculator: it’s 5.50726
Round to hundredth

Solution: 5.51 cm

helpppppppppppppppppppppppppppppppp

Answers

Answer: A

Step-by-step explanation:

So in what do you want me to help you with?

In the figure to the right, if AC = 20 and BC = 17, what is the
radius?
А
8
The radius is approximately (Round to the nearest tenth as needed)

Answers

Answer:

Step-by-step explanation:

Charlotte picks up a few necessities at her local neighborhood market. Use the receipt to determine the total amount Charlotte will pay for her purchases if there is an 8% sales tax.

Answers

Answer:

29.70

Step-by-step explanation:

Add up purchases 4.35+8.20+12.45+2.5=27.50

calc sales tax 27.50 x .08=$2.20

27.50+2.20=29.70

The solution is, 29.70 is the total amount Charlotte will pay for her purchases if there is an 8% sales tax.

What is addition?

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

given that.

from the given data, we get,

mouth wash = 4.35

detergent = 8.20

paper towels = 12.45

dish soap = 2.50

so, we get,

as total,

Add up purchases 4.35+8.20+12.45+2.5=27.50

now, we get,

calc sales tax 27.50 x .08=$2.20

so, we have,

27.50+2.20=29.70

Hence, The solution is, 29.70 is the total amount Charlotte will pay for her purchases if there is an 8% sales tax.

To earn more on addition click:

brainly.com/question/29560851

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AHHHHHHHHHH I DON'T LIKE MATH!!!!!!!!!!!!!!!!

Answers

Answer:

The answer is 5 1/16

Step-by-step explanation:

3/2 x 3/2 x 3/2 x 3/2

3/2 x 3/2 = 9/4

9/4 x 3/2 = 27/8

27/6 x 3/2 =81/16

Turn 81/16 into a mixed fraction and it’s 5 1/16

Therefore, the answer is 5 1/16

Write each number below in scientific notation! Please Help Me With My Math HW!

Answers

Answer:

you forgot the attachment file though :(

A customer left an 18% gratuity of $27. What was the amount of the bill? $27.18 $43.00 $150.00 $486.00

Answers

Answer:

The amount of the bill was $150.

Step-by-step explanation:

With the information provided, you can use a rule of three to find the amount of the bill which would represent 100% given that $27 represent 18%:

18%     →    27

100%   →      x

x=(100*27)/18

x=150

According to this, the answer is that the amount of the bill was $150.

I need help ASAP!!!!!!!

Answers

Answer:

2 4/8 or 2 1/2

Step-by-step explanation:

Hope its helpful!

No clue how to do this.

Answers

Answer:

Look at the graph, on the left side it says snow on the ground, and it starts on 5, as the storm continued more fell. nvm.

Step-by-step explanation: The answer to your question is 5, because that is how much is on the ground at the beggining.

Answer

5 Inches of snow was on the ground when the storm started.

Step-by-step explanation:

I need help understanding this hopefully you guys can help me with this! :D
1)Find the solution of the following system of equations; express the answer as a coordinate pair (x,y):

y = x + 3

y = -2x - 3


2)Find the solution of the following system of equations; express the

answer as a coordinate pair (x,y):

y = 2x + 1

y = x/2 + 4


3) Find the solution of the following system of equations; express the

answer as a coordinate pair (x,y):

y = -3x + 6

y= -1/2x+1

Answers

Answer:

(-2, 1)  

(2, 5)  

Please solve the third question and answer in the comments and I will tell you if you are correct.

Step-by-step explanation:

1)Find the solution of the following system of equations; express the answer as a coordinate pair (x,y):

y = x + 3         subtract from the bottom  and solve for x

y = -2x - 3    

y - y = x - (-2x) + 3 - (-3)

  0  =  3x + 6

 -6  =  3x

-2  =  x

 y = x + 3     y = -2 + 3     y = 1      (-2, 1)

2)Find the solution of the following system of equations; express the

answer as a coordinate pair (x,y):

y = 2x + 1              subtract from the bottom  and solve for x

y = x/2 + 4

y-y = 2x - 1/2 x +1 - 4

 0  = x(2-1/2) - 3

 3  = 1.5x

 2  = x          y = 2x + 1      y = 2(2) + 1       y = 5       (2, 5)

3) Find the solution of the following system of equations; express the

answer as a coordinate pair (x,y):

y = -3x + 6          subtract from the bottom  and solve for x

y= -1/2x+1            

y-y = x(-3 - (-1/2)) + (6 - 1)       follow the examples above

I need help ASAP
between 42 and 43° S latitude
between 39° and 40° N latitude
between 93° and 94° W longitude
between 42 and 43° N latitude

Answers

Answer:

B

Step-by-step explanation:

got it right on test

Select all expressions that are equivalent to 4(y + 2).
A 4y + 2
B4y + 8
Cy+y + y + y +2
D 5(y +2) – (y + 2)
Ey + y + y + y + 2+2+2+2
F.5(y + 2) - (y – 2)

Answers

Answer:

BDE

Step-by-step explanation:

× A = 4y + 2 = 2(4y/2 + 2/2) = 2(2y + 1) ≠ 4(y + 2)

✓ B = 4y + 8 = 4(4y/4 + 8/4) = 4(y + 2) = 4(y + 2)

× C = y + y + y + y + 2 =

y (1 + 1 + 1 + 1) + 2 = 4y + 2 = A ≠ 4(y + 2)

✓ D = 5(y + 2) – (y + 2) = 5(y + 2) – 1(y + 2) =

(5 – 1)(y + 2) = 4(y + 2)

✓ E = y + y + y + y + 2 + 2 + 2 + 2 =

y (1 + 1 + 1 + 1) + (2 + 2 + 2 + 2) =

4y + 8 = B = 4(y + 2)

× F = 5(y + 2) – (y – 2) =

(5y + 10) + (-y + 2) =

(5y – y) + (10 + 2) =

4y + 12 = 4(y + 3) ≠ 4(y + 2)

what is 20x-4=200
what is x?

Answers

Answer:

10.2

Step-by-step explanation:

20x=204

x=10.2

Answer:

x = 10.2

Step-by-step explanation:

To solve for x, we have to isolate it on one side of the = sign. The number on the other side is the value of x.

20x - 4 = 200

First, we can remove -4 from the equation. The inverse of -4 is +4, so we will add 4 to both sides. Adding 4 to -4 will neutralize it, making its value 0.

20x - 4 + 4 = 200 +4

Simplify this.

20x = 204

Now, we have 20 · x = 204. The inverse of multiplication is division. To the times 20, we will divide by 20 as well.

[tex]\frac{20x}{20}[/tex] = [tex]\frac{204}{20}[/tex]

Simplify.

x = 10.2

We can check this by substituting the value of x, 10.2, for the variable.

20(10.2) - 4 = 200

204 - 4 = 200

200 = 200

Since the equation is true, the answer must be 10.2.

I hope this helps ^^ Good luck

William owns 57.2 acres of land. He plans to donate land so a nature reserve can be built, but still needs 35.2 acres for his farm. If the developer of the nature reserve wants to use 54% of the donated land for a botanical garden, how many acres will be used for the garden?

Answers

Answer: 11.88

Step-by-step explanation: Subtract 35.2 from 57.2. Take your answer from that and multiply it by 0.54.

Triangle PQR is a right triangle. Triangle P Q R. Angle P is 90 degrees, angle Q is x degrees, angle R is 2 x degrees. Which equation could be used to find the measure of Angle Q? 180 = 3 x 180 = 3 x + 90 180 = 2 x + 90 90 = x + 2 x

Answers

Answer:

180 = 3x + 90°

Step-by-step explanation:

180 = x + 2x + 90

Answer:

B

Step-by-step explanation:

Got it right on edgy

HELP FAST PLEASE I'LL MARK YOU BRAINLIEST.

in the diagram below quadrilateral KLMN has vertices K (-1,5) L (1, -6) M (-5, -3) N (-7,2)


what are the coordinates of the midpoint of diagonal KM

Answers

Answer:

(- 3, 1 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

([tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = K(- 1, 5) and (x₂, y₂ ) = M(- 5, - 3) , then

midpoint = ( [tex]\frac{-1-5}{2}[/tex] , [tex]\frac{5-3}{2}[/tex] ) = ( [tex]\frac{-6}{2}[/tex] , [tex]\frac{2}{2}[/tex] ) = (- 3, 1 )

Simplify the expression below as much as possible.
(7 + 4i) + (9+5i) - (2+5i)
PICTURE ATTACHED

Answers

the answer will be 14+4i

Answer:

Yes the answer would be 14+4i

Step-by-step explanation:

1. remove parentheses

7+4i+9+5i-(2+5i)

Simplify each term

Apply the distributive property.

7+4i+9+5i-2-(5i)

Multiply -1 by 2

7+4i+9+5i-2-(5i)

Multiply 5 by -1

7+4i+9+5i-2-5i

Simplify by adding terms.

Add 7 and 9.

16+4i+5i-5i

Subtract 2 from 16.

14+9i-5i

Add 4i and 5i.

14+9i-5i

Subtract 5i from 9i.

And boom your answer 14+4i ....:)))

( 3X^2 - 5)( 4x^3 +7x + 2).

Answers

Answer:

12[tex]x^{5}[/tex] + x³ + 6x² - 35x - 10

Step-by-step explanation:

(3x² - 5)(4x³ + 7x + 2)

Each term in the second factor is multiplied by each term in the first factor, that is

3x²(4x³ + 7x + 2) - 5(4x³ + 7x + 2) ← distribute parenthesis

= 12[tex]x^{5}[/tex] + 21x³ + 6x² - 20x³ - 35x - 10 ← collect like terms

= 12[tex]x^{5}[/tex] + x³ + 6x² - 35x - 10

Pls help And explain!!

Find the numbers between 1 and 50 that
are even, multiples of 6 and when divided
by 5 have a remainder of 2.
and

Answers

Answer:

12

Step-by-step explanation:

Divide 12 by 5 to get about 2 as the remainder. 12 is also a multiple of 6!

I hope this helps! Can you please mark brainliest!

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