b for which -x^2+8x+20=b will have no real roots​

Answer:

95°

Step-by-step explanation:

Since both angles are supplementary, they have the same degree.

If angle B = 95°, angle A is also = 95°

Answer:

(2x+9)^2

Step-by-step explanation:

Factor the equation by using the perfect square rule: a^2+2ab+b^2=(a+b)^2 or a^2-2ab+b^2=(a-b)^2 depending on the trinomial

Answer:

let angle e be x

x+4x+10=180°[by linear pair]

5x+10=180°

5x=180-10

5x=170

x=170/5

x=34

angle E=34°

angle E+angle C+angle D=180°[by angle sum property]

34°+70°+2x=180°

104°+2x=180°

2x=180°-104

2x=76°

angle d=76°

Complete question :

Merlin wants to make more money selling fake beards this month than he did last month. All black beards in his shop cost the same amount of money, and all red beards in his shop cost $25. Let B represent the number of black beards and R represent the number of red beards that Merlin can sell to make more money than he made last month. 20B+25R > 350 According to the inequality, how much money did Merlin make last month, and how much does each black beard cost?

Answer:

1.) > 350

2.) $20

Step-by-step explanation:

Number of black beard = B

Number red beard = R

Cost of red beard = 25

Last month inequality :

20B+25R > 350

Amount Merlin made last month :

Revenue from both red and black Bearf, Hence amount realized last year greater than 350

Cost per black beard is the Coefficient of B which is 20

Answer:

€4,378,000,000

Step-by-step explanation: just took the test :)

Answer:

A

Step-by-step explanation:

Took the test

Step-by-step explanation:

the the coefficient of y in the above expression is A(1)

Answer:

A angle 7 is 6 inches

B angle 8 is 7 inches and 5 inches wide

C angle 3 is an obtuse angle, 6 inches and 9 inches wide

Answer:

The population in 2015 will be 165 million.

Step-by-step explanation:

The exponential growth formula is given by:

[tex] f(t) = a(1 + r)^{\Delta t} [/tex]

Where:

a: is the initial population

r: is the rate of increase

Δt: is the time        

With the initial information we can find the rate:

[tex] 151 = 145(1 + r)^{1998-1990} [/tex]      

Using logarithm:                                    

[tex] ln(151) = ln(145) + 8[ln(1 + r)] [/tex]  

[tex] ln(1 + r) = \frac{ln(151) - ln(145)}{8} [/tex]                        

[tex] ln(1 + r) = 5.0683 \cdot 10^{-3} [/tex]          

Using exponential:          

[tex] e^{ln(1 + r)} = e^{5.0683 \cdot 10^{-3}} [/tex]

[tex] r = 5.081 \cdot 10^{-3} [/tex]        

Now, we can find the estimated population in 2015:

[tex] f(t) = 151(1 + 5.081 \cdot 10^{-3})^{2015-1998} [/tex]              

[tex] f(t) = 165 [/tex]              

Therefore, the population in 2015 will be 165 million.

I hope it helps you!

Answer:

[tex]n = \frac{t - 2}{3} [/tex]

Step-by-step explanation:

1) Subtract 2 from both sides.

[tex]t - 2 = 3n[/tex]

2) Divide both sides by 3.

[tex] \frac{t - 2}{3} = n[/tex]

3) Switch sides.

[tex]n = \frac{t - 2}{3} [/tex]

Therefor, the answer is n = t-2/3.

Answer:

Step-by-step explanation:

∠BEF  = ∠CFE             {Alternate interior angles}

5x - 10 = 4x + 20           {Subtract 4x from both sides}

5x - 4x - 10 = 20

        x - 10 = 20          {Add 10 to both sides}

             x  = 20 +10

x = 30°

Answer:

$44.80

Step-by-step explanation:

$56 * 0.2 (%20) = $11.20

$56 - $11.20 = $44.80

Answer:

y = -2x + 7

Explanation:

y = mx + b

m = slope

b = y-intercept

y = a given y coordinate

x = a corresponding x coordinate

First, we need to find the slope (m).

1) (4, -1)

2) (2/3)

m = slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{3-(-1)}{2-4}[/tex] = [tex]\frac{4}{-2}[/tex] = -2

plug in the values to the equation y = mx + b

-1 = -2(4) + b

-1 = -8 + b

7 = b

now, we can substitute in m and b into the equation y = mx + b

y = -2x + 7

Answer:

<D is congruent to <B

Step-by-step explanation:

They both have the 3 lines indicated on them

Answer:

Step-by-step explanation:

Answer:

The expression consists of two terms, and each term contains two factors.

Step-by-step explanation:

Given - Complete the statement to describe the expression ab + cd

To find - The expression consists of ....... terms, and each term contains .......factors.

Proof -

The given expression has two terms

Term I - ab

Term II - cd

Now,

Each term contains two factors

In Term I - one factor is a and another factor is b

In Term II - one factor is c and another factor is d

Definition used -

It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.

A factor can be a number, variable, term, or a longer expression.

Answer:

a. a×3= -30

a= -30-3

a= 33

Answer:

y = 6x - 20

Step-by-step explanation:

Perpendicular slope = 6

(3, -2)

y - y1 = m(x - x1)

y + 2 = 6(x - 3)

y + 2 = 6x - 18

y = 6x - 20

Answer:

Solution given:

equation of a line is:

y=-⅛x+4.......[1]

Comparing above equation with y=mx+c

we get

slope [m]=-⅛

let slope of another line is M

since the Lines are perpendicular

so m ×M=-1

we get

M=8

again

the another line passes through(x1,y1) (3,-2)

Equation of another line becomes:

(y-y1)=m2(x-x1)

(y+2)=8(x-3)

y+2=8x-24

8x-y=24+2

8x-y=26

[tex] \frac{8x}{26} - \frac{y}{26} = 1[/tex]

[tex] \frac{4x}{13} - \frac{y}{26} = 1[/tex]

is a required equation of a line in slope intercept form.

Given:

The equation is

[tex]y=x^2+2x+3[/tex]

To find:

The vertex form of the given equation, i.e., [tex]y=x^2+2x+3[/tex].

Solution:

We have,

[tex]y=x^2+2x+3[/tex]

It can be written as

[tex]y=(x^2+2x)+3[/tex]

Add and subtract square of half of coefficient of x, i.e., [tex]\left(\dfrac{2}{2}\right)^2=1[/tex].

[tex]y=(x^2+2x+1)-1+3[/tex]

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

[tex]y=(x+1)^2+2[/tex]                   [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

Therefore, the required form of given function is [tex]y=(x+1)^2+2[/tex].

It is increasing by 11% for each application.

Answer:

-18x+4

Step-by-step explanation:

you simply distribut the negative 6:

so -6 times 3x would be -18x

and -6 times -2/3 would be positive 12/3 or 4

Answer:[tex]60+0.75x[/tex]

Step-by-step explanation:

Given

Veronica charges $60 for each tutoring session

Also, there is an additional charge of $0.75 per mile

Suppose she drive x miles and the total cost is represented by C

the additional cost of driving is [tex]0.75\times x=0.75x[/tex]

[tex]\therefore[/tex] The total cost for the session will be the sum of fixed cost and variable driving cost

[tex]\Rightarrow C=60+0.75x[/tex]

Answer:

(-3,-8)

....................................................................................................................................

hope it helped

Answer:

18

Step-by-step explanation:

Answer:

Use substitution to receive: 18

Step-by-step explanation:

6a - 4b when a = 5 and b =  3

6(5) - 4(3)

30 - 12 = 18

Answer:

The total would be $80.52. The tip was $12.28

Step-by-step explanation:

18% of 68.24 is 12.2832. I just rounded and called it 12.28. From there I just added it to 68.24 and got 80.52.

Answer:

v=13.56

Step-by-step explanation:

v - 4.6 = 8.96

v = 8.96 + 4.6

v = 13.56

Answer:

V=13.56

Step-by-step explanation:

hope it helps

have a great day

Step-by-step explanation:

please follow me

hloooo

Answer:

17.5 g

Step-by-step explanation:

20 g is 100% then a decrease of 12.5% is

100% - 12.5% = 87.5% = [tex]\frac{87.5}{100}[/tex] = 0.875 , then

20g × 0.875 = 17.5 g

Answer:

1:3

Step-by-step explanation:

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