if 6 coins are flipped, find the probability that there is at least one heads?
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Answer:

Step-by-step explanation:

The quadratic expression can be factored into two binomials if it has two real roots.

Two real roots possible with non-negative discriminant:

As D = b² - 4ac, we get the following inequality

This is true for any value of k

Answer:

(-∞, ∞)  or  [tex]k \in \mathbb{R}[/tex]

Step-by-step explanation:

Binomial:  two terms connected by a plus or minus sign.

Discriminant

[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real roots}[/tex]

[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real root}[/tex]

[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real roots}[/tex]

If a quadratic expression factors into two binomials, it will have two real roots.  Therefore, the discriminant will be greater than zero.

Given quadratic expression:

  [tex]3x^2+kx-8[/tex]

[tex]\implies a=3, \quad b=k, \quad c=-8[/tex]

Substitute the values of a, b and c into the discriminant, set it to > 0:

[tex]\implies k^2-4(3)(-8) > 0[/tex]

[tex]\implies k^2+96 > 0[/tex]

As k² ≥ 0 for all real numbers,

[tex]\implies k^2+96 \geq 96[/tex]

Therefore, the values of k are (-∞, ∞)  or  [tex]k \in \mathbb{R}[/tex]

Answer:

B. 8.75

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

We know the ratio of the cut string is 2 : 5 : 3. If we add 2, 5, and 3 together, we get 10. We can do 90 ÷ 10 = 9. Each number in the ratio should be multiplied by 9 to find the actual length after it is cut.

Left piece : 2 x 9 = 18 cm

Middle piece : 5 x 9 = 45 cm

Right piece : 3 x 9 = 27 cm

D is the correct answer.

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Answer:

C

Step-by-step explanation:

Its not greater than or equal to and its less than 6.

Answer:

A. x < 3

Step-by-step explanation:

2x < 6

Simplify:

2x < 6 <== divide both sides by 2

/2   /2

x < 3

Rules:

Open circle: < (going left) or > (going right)

Closed circle: ≤ (going left) or ≥ (going right)

For our answer: x < 3

It would be an open circle going left. The only number line that illustrates this is line A.

Hope this helps!

Answer:

a) 405, -315 b) 540, -180 c)195, -525

Step-by-step explanation:

a) 45+360= 405, 45-360=-315

b) 180+360=540, 180-360=-180

c) -165+360=195, -165-360=-525

hope this helped

Answer:

Step-by-step explanation:

A function is even if [tex]f(x)=f(-x)[/tex], or if the graph has a rotational symmetry about the x-axis. A function is odd if [tex]f(x)=-f(-x)[/tex]. For example, if you were to reflect that graph about the y-axis. Would it present symmetry?

From the graph we know from the fundamental theorem of Algebra that since f has 3 distinct roots, and changes directions three times, we are dealing with a cubic equation in the form of [tex]f(x)=x(x+2)(x-2)[/tex]

Since the equation is known, try the formulas

First, test for an even function, [tex]f(x)=f(-x)[/tex], this means that for our function, f, [tex]f(2)=f(-2)[/tex] see if this holds true

[tex]2(2+2)(2-2) = -2(-2+2)(-2-2)\\2(4)(0)=-2(0)(-4)\\0 = 0[/tex]

This means that the function is even.

Step-by-step explanation:

[tex]area = l \times b[/tex]

[tex]area = \frac{3}{7} \times \frac{2}{9} [/tex]

[tex]area = \frac{6}{64} [/tex]

[tex]area = 0.09375units ^{2} [/tex]

Answer:

I believe the answer is C, the area of a circle, because pi is irrational, and anything multiplied by it will always result in an irrational number.

Step-by-step explanation:

I hope this helps and please mark me as brainliest!

Answer:

Answer:

first of all you have to take the L.C.M of both which will be 100

Step-by-step explanation:

[tex]2 \div 10 + 28 \div 100 \\ = \frac{20 + 28 }{100} \\ = \ \frac{12}{25} [/tex]

Answer:

a)  $92.75

b)  $371

Step-by-step explanation:

Let x = number of lines in the ad

Let x = total charge per week to run the ad

Given:

Create equations based on the given information:

y = 35   for x < 4

y = 35 + 5.25(x - 4)  for x ≥ 4

Part (a)

Given:

⇒ y = 35 + 5.25(15 - 4)

      = 35 + 5.25(11)

      = 35 + 57.75

      = 92.75

So the ad will cost $92.75 to run for 1 week.

Part (b)

Cost to run the ad for 4 weeks = 4 × cost of 1 week

                                                    = 4 × 92.75

                                                   = $371

Using the slope concept, it is found that the distance the plane traveled from point A to point B was of 18052.4 ft.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

At point A, the vertical change is of 7475 ft, with an angle of 16º, hence the equation below can be solved to find the position:

[tex]\tan{16^\circ} = \frac{7475}{x_A}[/tex]

[tex]x_A = \frac{7475}{\tan{16^\circ}}[/tex]

[tex]x_A = 26068.4[/tex]

At point B, the angle is of 43º, hence:

[tex]\tan{43^\circ} = \frac{7475}{x_B}[/tex]

[tex]x_B = \frac{7475}{\tan{43^\circ}}[/tex]

[tex]x_B = 8016[/tex]

Hence, the distance in feet is given by:

[tex]d = x_A - x_B = 26068.4 - 8016 = 18052.4[/tex]

More can be learned about the slope concept at https://brainly.com/question/18090623

Answer:

30°

Step-by-step explanation:

145-115=30°

it is the answer

Answer:

30

Step-by-step explanation:

Since Angle FGH=FGJ+JGH, we can set the equation 145=115+x

[tex]145=115+x\\145-115=x\\30=x[/tex]

I know that answer

..............please mark as brainliest

From both equations

Hence the solution set in interval notation

Step-by-step explanation:

I don't know I don't know this answer really I don't know this and so sorry sorry sorry sorry

The dropdown numbers is an illustration of combination

The smallest dropdown number is 1025

From the question, we have the following parameters:

We start counting from 1023, 1024, 1025, 1026...........

The number 1025 satisfies the given conditions

Hence, the smallest dropdown number is 1025

Read more about combination at:

https://brainly.com/question/11732255

Answer:

x = 5/2

y = -2

Step-by-step explanation:

(1+i)² (x+yi) = 4+5i

(1+2i+i²)(x+yi) = 4+5i

(1+2i-1)(x+yi) = 4+5i

2i(x+yi) = 4+5i

2i²y + 2xi = 4+5i

-2y + 2xi = 4 + 5i

By comparing both sides,

-2y = 4

y = -2,

2x = 5

x = 5/2

Answer:

Step-by-step explanation:

4.17 is equivalent to 4.17 × 100.  NO  4.17 x 100 = 417

[If this is really 4.17 is equivalent to 4.17 × 10^0.  Then YES.  10^0 = 1]

4.17 is equivalent to 4.17 × 101.   NO  4.17 x 101 = 421.17

Again, if this is 10^1, then no.  10^1 = 10

The product has a positive exponent.   YES  

The coefficient is 6.

Coefficient?  NO.  Exponent?  Then YES

The E in the product is the indicator that the solution is in scientific notation.  YES  4.17E6 is 4.17 x 10^6

The exponent of the product is the product of the original exponents.

NO.  In multiplication, the exponents are added (as long as they have the same base)

EDGE 2022

90°-53°=37°

The whole angle is right angled

Answer: x cannot equal 4/5 (3rd choice)

Step-by-step explanation:

f(g(x)) = f(5x-4)

plug 5x-4 into all values of x in the f(x) equation

f(5x-4)= ((5x-4) - 3))/ (5x-4)

f(5x-4) = (5x-7)/(5x-4)

set denom = 0 and solve for x to find domain

5x-4 = 0

5x = 4

x = (4/5)

x cannot equal (4/5)

Yes, the given set can be the domain of an odd function if:

f(-3) = -f(3)

f(-2) = -f(2).

For a function y = f(x), we define the domain of the function as the set of possible values of x that we can input into the function.

And an odd function is a function such that:

f(-x) = -f(x).

In this case, we want to see if the set:

(-3,-2)U(2,3) = (-3, -2, 2, 3)

can be the domain.

It would only be the domain of an odd function if:

f(-3) = -f(3)

f(-2) = -f(2).

If you want to learn more about odd functions, you can read:

https://brainly.com/question/1561362

Answer: x = 2

Step-by-step explanation:

And thats how you get the answer!

Answer:

x=-1

Step-by-step explanation:

1.(-9-11)(-4)/-7^2+(11*2^2)

2. =-20/-4/-7^2+11(2^2)

3. =5/7^2+11(2^2)

4. =5/-49+11(2^2)

5. =5/-49+(11)(4)

6. = 5/-49+44

7.=5/-5

8. x=-1

5 1/3 - 2/3

= (5 – 0) + (1/3-2/3)

= 5 + 1-2/3

= 5 +-1/3

 = 4 2/3

in fraction:

= 4 2/3

in decimal:

= 4.6666666666667

Answer: I believe the answer is C. (-3,4)

Step-by-step explanation:

Answer:

205.25072

Step-by-step explanation:

1. A(sector)=x/360πr^2

2. A(sector)=120/360π(14^2)

3. A(sector)=1/3π(196)

4. A(sector)=205.25072

5. Round as necessary