If the equation 2x2+bx+5=0 has no real solutions, which of the following must be true?​

Answers

Answer 1

Answer:

There are no choices but in order to qudratic equation not to have real roots the discriminant must be negative.

d = b² - 2*2*5 = b² - 20

If d < 0, we get:

b² - 20 < 0b² < 20b < |√20|- √20 < b < √20

or

-2√5 < b < 2√5

or

b = (-2√5, 2√5)

Related Questions

Need help what is the slope line that passes though the points

Answers

Slope = change in y / change in x

Slope = (4 - -8) / (-14 - -6)

Slope = 12/-8

Simplify:

Slope = -6/4

Answer:

-3/2

Step-by-step explanation:

To find the slope, use the slope formula

m = (y2-y1)/(x2-x1)

m = (4 - -8)/(-14 - -6)

   = ( 4+8)/(-14+6)

   = 12/-8

-3/2

The function C(x) = 400x - 0.2x ^ 2 represents the total costs for a company to produce a product, where in dollars and x is the number of units sold. Which statement is true? is the total cost

Answers

Answer: it b y’all

Step-by-step explanation: I took the test

Answer:

B

Step-by-step explanation:

To determine the maxima and minima of the polynomial, differentiate the given based on x and equate to 0.                                   C(x) = 400x - 0.2x²                               dC(x) / dt = 400 - 0.4 x = 0 The value of x is 1000. This is the value of the maxima. As the value of C(x) continously becomes lesser as the value of x is set higher, the minima is not identified. Substitute x to the original equation,                               C(x) = (400)(1000) - 0.2(1000²) = $ 200,000Thus, the answer is letter B. 

Please help me with these questions

Answers

Answer:

A. <EKH and <EKF

B. <EKH and <FKG

C. <HKJ and <GKJ

Step-by-step explanation:

A. A linear pair are two adjacent angles that forms a straight line that equals 180°.

<EKH and <EKF is a linear pair

B. A pair of vertical angles are opposite angles formed when two straight lines intersect. They share a common vertex.

<EKH and <FKG

C. Adjacent angles share a common vertex and a common side. The pair of adjacent angles that are not a linear pair will not form a straight line.

<HKJ and <GKJ are adjacent angles that share the same vertex (<K) and the same side (KJ). However they do not form a straight line. Therefore, <HKJ and <GKJ are a pair of adjacent angles that are not a linear pair.

At a local university, there are 4340 students enrolled in History. The ratio of males to
females in therprogram is 3:7. How many males and females are enrolled?​

Answers

Answer:

1302 males & 3038 females

Step-by-step explanation:

3x + 7x = 4340

10x = 4340

x = 434

3(434) = 1302 males

7(434) = 3038 females

Need this in now like ASAP.
Fill the blanks in with yes or no

Answers

Answer-

a. no

b. yes

c. no

Raymond is four times as old as christine plus 5 years.Write an algebraic expression for Raymonds age in terms of christine age

Answers

Answer:

4c + 5 = R

Step-by-step explanation:

This should help you

The slope of the line that represents the data Nicholas collected is -63, and the y-intercept is 825. Explain what these represent in the context of the situation. Remember that x is the number of days, and y is the number of canned goods.



Find the slope and y-intercept of the line.

m =
b =

Answers

Answer:

Step-by-step explanation:

They tell you the slope of the line is -63      :/    m= -63

and then they tell you the y-intercept  is 825   b= 825

Why did you even need to ask about this ?

Please give real answers with an explaination. I will follow + I will give the brainliest. No Docs/No Files/No Links only answer with explaination.

Answers

Answer:

129 = x

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

47+82 = x

129 = x

Answer:

47+82 = x

129 = x

hope it helps

When x=3 and y=-1, what is the value of this expression?

Answers

Answer:

what expression

Step-by-step explanation:

Find the value of x

Answers

Answer:

x=56

Step-by-step explanation:

Since the angles are all the same,

D=78

F=46

All you have to do is subtract these numbers from 180, which gives you 56

Answer:

56

Step-by-step explanation:

Which expression is equivalent to the expression shown (5^3) ^9 divided 5^12

Answers

Answer:5 exponent of 15

Step-by-step explanation:trust

5 of the exponent of 15

19.
Which of the following equations has a graph that crosses the y-axis at a point lower than the graph of y= -2x2 - 1?

A. y= 3x2 - 3

B. y= -3x2 + 3

C. y= -3x2 + 1

D. y= -3x2 - 1

Answers

Answer:

B. y= -3x2 + 3

Step-by-step explanation:

y= -3^2+3

The given equations has a graph that crosses the y-axis at a point lower than the graph is option (C) is correct.

To find the equation/

What is quadratic equation?

Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. The quadratic formula to solve a quadratic equation ax2 + bx + c = 0 is x = [-b ± √(b2 - 4ac)]/2a.

Given that:

By definition, the graph of Quadratic function is a parabola.

The Standard form of a Quadratic function is the following:

[tex]f(x)=ax^{2} +bx+c[/tex]

Where "a", "b" and "c" are real numbers (a≠0)

It is important to remember that if the value of the leading coefficient "a" is larger, then the parabola will be narrower.

So, given the following Quadratic equation:

[tex]y=-2x^{2} -1[/tex]

You can identify that:

IaI=2

Therefore, the equation that has a graph that crosses the y-axis at a point lower than the graph, must have a leading coefficient larger than 2.

[tex]y=-3x^{2} +1[/tex]

Where:

IaI=3

Notice that:

3>2

Learn more about quadratic equation here:

https://brainly.com/question/23957028

#SPJ2

For question 12, use the graph to guess one zero for the polynomial whose graph is shown. Then, factor completely.

12) f(x) = x³ - 6x² + 6x + 8​

Answers

Answer:

x³ - 6·x² + 6·x + 8 = (x - 4) × (x - (1 + √3)) × (x + 1 + √3)

Step-by-step explanation:

From the given graph of the polynomial, x³ - 6·x² + 6·x + 8, we have that one of the zeros of the polynomial, which is one point the graph cuts the x-axis is given as follows;

At a zero, we have, x = 4

∴ x - 4 = 0 is a factor of the polynomial

Dividing the given polynomial by (x - 4), gives;

x² - 2·x - 2

(x³ - 6·x² + 6·x + 8)÷(x - 4)

x³ -4·x²

-2·x² + 6·x + 8

-2·x² + 8·x

-2·x + 8

-2·x + 8

0

∴ (x³ - 6·x² + 6·x + 8)÷(x - 4) = x² - 2·x - 2

∴ (x - 4) × (x² - 2·x - 2) = x³ - 6·x² + 6·x + 8

Factorizing x² - 2·x - 2, gives;

x = (2 ± √((-2)² - 4×1×(-2)))/(2 × 1) =  (2 ± 2·√(3)/(2) = (1 ± √(3)

Therefore, x = 1 + √3, (x - (1 + √3)) = 0 or x = 1 - √3, (x - (1 - √3)) = 0 which gives the factors, after factorizing completely as follows;

x³ - 6·x² + 6·x + 8 = (x - 4) × (x - (1 + √3)) × (x + 1 + √3)

An angle is bisected by a segment forming two new angles find m

Answers

Answer:

60

Step-by-step explanation:

Note that angle ZXY is the bisected angle which was split into angle 1 and 2

Also note that bisectors split angles into to separate congruent angles ( So if angle ZXY was bisected into angle 1 and angle 2 then angle 1 = angle 2 )

If angle 2 = 30 then angle 1 also = 30

Like stated multiple times angle ZXY is made up of angle 1 and 2

Hence, Angle ZXY = Angle 1 + Angle 2

Angle ZXY = 30 + 30 = 60

A company that makes​ hair-care products had 7,000 people try a new shampoo. Of the 7,000 people, 28 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction?

Answers

Answer: 0.4%

Step-by-step explanation:

First, a porportion needs to be set up.

part/whole = percent/100

28/7,000 = x/100

Second, cross multiply.

2800=7,000x

x=0.4

pls help me on this i don't know what to do ​

Answers

Answer:

D.

Step-by-step explanation:

Standard Form (Quadratic): [tex]y=ax^2+bx+c[/tex]

Vertex Form (Quadratic): [tex]y=a(x-h)^2+k[/tex]

Intercept Form (Quadratic): [tex]y=a(x-p)(x-q)[/tex]

      p,q are x-intercepts

x-intercepts given in graph: -2,4

[tex]y=a[x-(-2)](x-4)[/tex]

eqn 1: [tex]y=a(x+2)(x-4)[/tex]

Plug in the given point to find 'a' : (3,-5)

[tex]-5=a(3+2)(3-4)[/tex]

[tex]-5=a(5)(-1)[/tex]

[tex]1=a[/tex]

Substitute 'a' in to eqn 1.

[tex]y=1(x+2)(x-4)[/tex]

eqn 2: [tex]y=(x+2)(x-4)[/tex]

Expand eqn 2. (can use FOIL)

[tex]y=x^2-2x-8[/tex]

Evaluate the expression when x = 4 and y=5.

Answers

Answer:

49

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

3x² + 4y⁰ - x⁻¹

3(4)² + 4(5)⁰ * (4)⁻¹

3(16) + 4(1) * 1/4

48 + 4 * 1/4

48 + 4/4

48 + 1

49

Write the equation of a line with a slope of-5/7 and a y-intercept of 1.​

Answers

Answer:

y = -5/7x + 1

Step-by-step explanation:

y = -5/7x + 1

I don’t understand what to do on these question, some help would be nice (trigonometry)

Answers

Step-by-step explanation:

> find the angle of center circle:

cos~¹ 5/(5+12) = cos~¹ 5/17 = 72°

so the sector area of the shaded

region =

(360-72)/360 × 3.14 × 5²

= 288/360 × 78.5

= 62.8

> the height of triangle (red Line) =

4×tan 72° = 4× 3.078 = 12.31

the height of pyramid (green

Line) = √12.31²-8.5² =√74.16

= 8.61

so the volume of pyramid =

⅓×(17×8)×8.61 = 390.32

The area of a circular plate is approximately 50.24 in2. What is the radius of the plate?

Answers

Answer:

area of the circular plate =πr²

50.24 =3.14×r²

=50.24/3.14

=16

radius =4 inch

Answer:

4 in

Step-by-step explanation:

Does anybody know 5.4.7: Teenagers CodeHs. Please help I am stuck in this

Answers

Answer:

The program in Python is as follows:

age = int(input("Age: "))

if age>=13 and age <=19:

   print("Teenager")

else:

   print("Not a teenager")

Step-by-step explanation:

This gets input for age

age = int(input("Age: "))

This checks if age is between 13 and 19 (inclusive)

if age>=13 and age <=19:

If yes, the age is teenage

   print("Teenager")

If otherwise, the age is not teenage

else:

   print("Not a teenager")

Solve the simultaneous equations
2x – 3y = 12
3x + 4y = 1

Answers

Answer:

x=3 and y=−2

Step-by-step explanation:

Multiply the first equation by 4,and multiply the second equation by 3.

4(2x−3y=12)

3(3x+4y=1)

Becomes:

8x−12y=48

9x+12y=3

Add these equations to eliminate y:

17x=51

Then solve17x=51for x:

17x=51

17x

17

=

51

17

(Divide both sides by 17)

x=3

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

2x−3y=12

Substitute3forxin2x−3y=12:

(2)(3)−3y=12

−3y+6=12(Simplify both sides of the equation)

−3y+6+−6=12+−6(Add -6 to both sides)

−3y=6

−3y

−3

=

6

−3

(Divide both sides by -3)

y=−2

Answer:

[tex](3,-2)[/tex]

Step-by-step explanation:

[tex]2x-3y=12[/tex]

[tex]2(3)-3(-2)=12[/tex]

[tex]6--6=12[/tex]        Two negative signs together makes a addition

[tex]3x+4y=1[/tex]

[tex]3(3)+4(-2)=1[/tex]

[tex]9-8=1[/tex]            

The hire purchase price of a fridge is 16400. 25% is paid as deposit, the rest is spread over 12 equally monthly instalments. If the cash price is 20% less the hire purchase pries, (a) find the costs price of the fridge (b) calculate the deposit (c) what is the monthly installments (d) what is the differences between the cash price and the hire purchase prie

Answers

Answer: a. 13120

b. 4100

c. 1025

d. 3280

Step-by-step explanation:

(a) find the costs price of the fridge

Since the cash price is 20% less the hire purchase price, then the cost of the fridge will be:

= (100% - 20%) × 16400

= 80% × 16400

= 0.8 × 16400

= 13120

(b) calculate the deposit

Since 25% is paid as deposit, the deposit will be:

= 25% × 16400

= 0.25 × 16400

= 4100

(c) what is the monthly installments

Monthly installments will be:

= (16400 - 4100)/12

= 12300/12

= 1025

(d) what is the differences between the cash price and the hire purchase price.

This will be:

Hire purchase price = 16400

Cash price = 13120

= 16400 - 13120

= 3280

9) Solve for w:
W +12
2w

Answers

Answer:

w = 26

Step-by-step explanation:

set up an equation; since this is a right angle, it equals 90 degrees

90 = w + 12 + 2w

90 - 12 = w + 2w

78 = 3w

78/3

w = 26

Answer:

w = 26

Step-by-step explanation:

2w +w + 12 =90

3w +12 = 90

      -12    -12

3w = 78       then 3w/3 = 78/3

w=26

A cylinder has a radius of 6 and a height of 10 find the volume

Answers

Answer:

30cm

Step-by-step explanation:

Vn = Vc

1/3 X Pie x 6^2 x hn = Pie x 6^ x 10

hn = 30cm

Given: Radius=7cm,

Height=10cm

Volume of the cylinder=πr2h

=722×7×6×10=1540cm3

Which one is it?
a) <
b) =
c) >

Answers

Answer:

A: less that

Step-by-step explanation:

4( 14)+3

36+3= 39

39 (2+9)6-7

(11)6-7

66-7

59

39<59

Help asap please im failing

Answers

Step-by-step explanation:

Convert each fraction by setting up proportion out of 100.

[tex] \frac{60}{90} = \frac{?}{100} [/tex]

[tex] \frac{78}{150} = \frac{?}{100} [/tex]

[tex] \frac{75}{120} = \frac{x}{100} [/tex]

Cross multiply each fraction. let x represent the missing number.

[tex]6000 = 90x[/tex]

[tex]7800 = 150x[/tex]

[tex]7500 = 120x[/tex]

Solve for x

For the first equation.

[tex]x = 66.66666[/tex]

For the second equation

[tex]x = 52[/tex]

For the third equation,

[tex]x = 62.5[/tex]

Round each missing value to the nearest whole value and add the % sign.

60/90=67%

78/150=52%

75/120=63%

He scored the highest on his English test.

On his english test he scored 67%
On his science test he scored 52%
On his math test he scored 63%
To calculate these you would divide by putting the amount of points he earned over the total possible points. Then convert the decimal to a percentage.
He scored the highest on his english test.

CAN SOMEONE PLEASE HELP ME FAST?

Answers

Answer:

whats the question

Step-by-step explanation:

Luis put out 6 different pies at a picnic at the end of the picnic, he noticed this about the pies: one whole apple pie was eaten, and 3/4 of another apple pie was eaten 1/2 of the blackberry pie was eaten 1/8 of the blueberry pie was eaten 5/8 of the cherry pie was eaten 3/4 of the peach pie was eaten. What is the total amount of pies that where left over

Answers

Answer:

2 1/4

Step-by-step explanation:

amount left of apple pie = 1 - 3/4 = 1/4

amount left of blackberry pie = 1 - 1/2 = 1/2

amount left of blueberry pie = 1 - 1/8 = 7/8

amount left of cherry pie = 1 - 5/8 = 3/8

amount left of peach pie = 1 - 3/4 = 1/4

add this figures together

1/4 + 1/2 + 7/8 + 3/8 + 1/4

2 4 + 7 + 3 + 2

8

Mr. Hayes is having friends over to watch basketball and needs to buy snacks T buys five boxes of crackers in each box there are three saves of 24 crackers how many crackers did he buy all together this is a two step problems try multiplying numbers in different orders do you get the same answer

Answers

Answer:

120 crackers

Step-by-step explanation:

Given

[tex]Box = 5[/tex]

[tex]Crackers = 24/box[/tex]

Required

The total number of crackers

To do this, we simply multiply the number of box by the crackers per box

[tex]Total = Box * Crackers[/tex]

[tex]Total = 5 * 24[/tex]

[tex]Total = 120[/tex]

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