a) the quadratic x^2-4x-21 can be written in the form (x+a)^2+b find the values of and and b

b) hence, or otherwise, solve the equation x^2-4x-21=0

Answer:

4

Step-by-step explanation:

6 --6=12

2--1=3

12/3=4

Answer:

2/8 or 1/4

Step-by-step explanation:

there are two blues

and there are 8 in total

so its 2/8

Answer:

1/4 = 25% chance.

Step-by-step explanation:

The probability of an event is equal to the amount of favorable outcomes divided by the total amount of outcomes.

There are 2 favorable outcomes (spinning blue). There are a total of 8 locations where the spinner can land.

We can say that 2/8 = 1/4 = 25% chance of spinning blue.

I hope this helps!

Answer:

Step-by-step explanation:

A. Opposite sides are the same length, so the figure is a parallelogram.

__

B. Diagonals of a parallelogram cross at their midpoints, so ...

  9x +3 = 10x -2

  5 = x . . . . . . . . add 2-9x to both sides

__

C. The longer side is 12x = 12(5) = 60 . . . . units

Answer:

B is the awsnsr to your question

Step-by-step explanation:

Answer:

B) –0.78.

Step-by-step explanation:

Answer:

Polyester Fabric = 4 || 8 || 16 || 22

Silk Fabric          = 18 || 36 || 72 || 99

Step-by-step explanation:

Given:

The above table

Ratio; Polyester Fabric : Silk = 2:9

Required

Complete the above table

Provided that the ratio of the cost of one meter of polyester fabric to the cost of one meter of one silk is 2:9;

To complete rows of polyester fabric

We simply multiply cost by ratio of polyester fabric ratio (2)

To complete rows of silk fabric

We simply multiply cost by ratio of silk fabric ratio (9)

This is as follows:

When length = 2m

Polyester Fabric = 2 * 2 = 4

Silk Fabric = 2 * 9 = 18

When length = 4m

Polyester Fabric = 4 * 2 = 8

Silk Fabric = 4 * 9 = 36

When length = 8m

Polyester Fabric = 8 * 2 = 16

Silk Fabric = 8 * 9 = 72

When length = 11m

Polyester Fabric = 11 * 2 = 22

Silk Fabric = 11 * 9 = 99

Hence, the complete table is as follows:

Polyester Fabric = 4 || 8 || 16 || 22

Silk Fabric          = 18 || 36 || 72 || 99

Answer:

( x = 17° )

Step-by-step explanation:

Consider the following steps;

[tex]m< ZYW = 2x - Given,\\m< YXW = ( 3x - 5 ) - Given,\\m< XYW = 90 - Given,\\\\m< YXW + m< XYW + m< YWX = 180 - Sum of Angles in Triangle,\\( 3x - 5 ) + 90 + m< YWX = 180,\\3x - 5 + 90 + m< YWX = 180,\\3x - 5 + m< YWX = 90,\\m< YWX = 90 - 3x - 5,\\m< YWX = 85 - 3x,\\\\m< ZYW = m< YWX - Alternate Interior Angles,\\2x = 85 - 3x,\\5x = 85,\\Conclusion ; ( x = 17 degrees )[/tex]

Solution ; ( x = 17° )

Answer:

(8, -1)

Step-by-step explanation:

To use elimination, we can add the two equations together to eliminate the y:

x-y = 9

x+y = 7

x + x -y + y = 16

2x = 16

x = 8

Plug that back into the original equation to get:

8-y = 9

y = -1

So the ordered pair is (8, -1)

Answer:

c . Quadratic binomial

Step-by-step explanation:

a qudratic expression is always in form of ax²+bx + c while a quadratic trinomial is in the form of ax³+bx²+cx+d .

I hope it helps

Answer:

c.) quadratic binomial

Step-by-step explanation:

Quadratic equation:

ax² + bx + c

The polynomial is in this form and like all quadratics forms a parabola, a u-shape, when graphed. Therefore, it is a quadratic equation.

Binomial = an expression with two terms

This polynomial has three terms: x², and 5x, making it a quadratic binomial.

Answer:

62.5 ft

Step-by-step explanation:

→You can set up a proportion, like so:

[tex]\frac{20}{8} =\frac{x}{25}[/tex]

→Cross multiply:

[tex]\frac{500}{8x}[/tex]

→Divide 500 by 8:

x = 62.5

Answer:

62.5 feet

Step-by-step explanation:

8/20

25/x

25*20/8 = x

x = 62.5

Answer:

x = -2 ±sqrt( 10)

Step-by-step explanation:

x^2 + 4x = 6

Take the coefficient of x

4

Divide by 2

4/2 =2

Square it

2^2 =4

Add this to each side

x^2 + 4x+4 = 6+4

Take the 4/2 term which is the factor inside the (x+   )^2

(x+2)^2 = 10

Take the square root of each side

sqrt((x+2)^2) =±sqrt( 10)

x+2 = ±sqrt( 10)

Subtract 2 from each side

x+2-2 = -2±sqrt( 10)

x = -2 ±sqrt( 10)

Answer:

x= +/- \sqrt(10) - 2

Step-by-step explanation:

use the formula (b/2) in order to create a new term.

Solve for x by using the term to complete the square.

Answer:

B. (-3, 2)

Step-by-step explanation:

The solution is given by the coordinates of the point where the lines intersect.

From the graph we see that it is  the point where x = -3 and y = 2.

Answer:

140

Step-by-step explanation:

Let's call the red and blue marbles 2x and 5x. We know that 5x = 2x + 60, so x = 20. The sum of all marbles in the bag is 2x + 5x = 7x which is 7 * 20 = 140 marbles. Hope this helps!

Answer:

84 in all.

Step-by-step explanation:

if there are 2 red marbles to every 5 marble than 60 / 5 = 12, 12 x 2 = 24 + 60 = 84.

So the smallest value in the set is 9.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

Relative frequency for guest who will win the prize:

Relative frequency = 50%

Step-by-step explanation:

Total No. of guest = 500

No. of Guests with even-numbered tickets:

Ticket NO. 2 = 42

Ticket NO. 4 = 56

Ticket NO. 6 = 43

Ticket NO. 8 = 41

Ticket NO. 10 = 68

Total No. of Guest with even-numbered ticket = 42+56+43+41+68

Total No. of Guest with even-numbered ticket = 250

So.

Relative frequency = (frequency of desirable event/ total frequency) · 100

Relative frequency = (250/500)· 100

Relative frequency = 50%

Answer:

Step-by-step explanation:

3x - 5y = -35

2x - 5y = -30

3x - 5y = -35

-2x + 5y = 30

x = -5

3(-5) -5y = -35

-15 - 5y = -35

-5y = -20

y = 4

Answer: It is A. 4

Step-by-step explanation:3x - 5y = -35

2x - 5y = -30

3x - 5y = -35

-2x + 5y = 30

x = -5

3(-5) -5y = -35

-15 - 5y = -35

-5y = -20

y = 4

(Happy to Help!) (0.<)

Answer:

17 units

Step-by-step explanation:

The midsegment of a triangle theorem states that:

The midsegment is 1/2 of it's parallel side.

So,

6x + 5 = 1/2(4x + 26)

6x + 5 = 2x + 13

6x - 2x + 5 = 13

4x + 5 = 13

4x = 13 - 5

4x = 8

x = 8 ÷ 4

x = 2

Substitute x to the midsegment.

6x + 5

6(2) + 5

12 + 5

17

Hello

Here is the answer:

A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle.  It is always parallel to the third side, and the length of the midsegment is half the length of the third side.

Please mark

Thanks

Jake

Answer:

11

Step-by-step explanation:

11x5+10=65

Answer: 11 on edge

Step-by-step explanation:

subtract 10 from both sides of the equation to get: 5x=55

then, divide both sides by 5 to get: x=11

so he used the gym 11 times last month!

Hope this helps have a great day!

Answer:

The required probability is 0.0155.

Step-by-step explanation:

We are given that the one-year survival rate for pancreatic cancer is 20%.

Of 12 people diagnosed with pancreatic cancer at one hospital, 6 survived one year.

The above situation can be represented through binomial distribution;

[tex]P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......[/tex]

where, n = number of trials (samples) taken = 12 people

            r = number of success = 6 survived

            p = probability of success which in our question is probability of

                  one-year survival rate for pancreatic cancer, i.e; p = 20%

Let X = Number of people survived one year

So, X ~ Binom(n = 12 , p = 0.20)

Now, the probability that 6 survived one year is given by = P(X = 6)

              P(X = 6)  =  [tex]\binom{12}{6} \times 0.20^{6} \times (1-0.20)^{12-6}[/tex]

                             =  [tex]924 \times 0.20^{6} \times 0.80^{6}[/tex]

                             =  0.0155

Answer:

The graph with coordinates x6,y8

Step-by-step explanation:

Answer:

Because the product is always non-termination,non-repeating decimal.

Step-by-step explanation:

If we have [tex]a[/tex] is irrational;  [tex]b[/tex] is rational such that [tex]b \neq 0[/tex] , then [tex]a \cdot b[/tex] is irrational.

A way to represent this is:

[tex]a\in\mathbb{R}\setminus\mathbb{Q}, b\in\mathbb{Q},ab\in\mathbb{Q}\implies a\in\mathbb{Q}\implies\text{Contradiction}\therefore ab\not\in\mathbb{Q}.[/tex]

Note that we have a contradiction, because [tex]a[/tex] is not a rational number, as I stated in the beginning. Therefore, ab is irrational.

Answer: A

Step-by-step explanation:

Multiplying an irrational number by a rational number will always be an irrational number because irrational numbers do not repeat and terminate.

So for example multiplying pi by a rational like two you will have an irrational number because pi is an irrational number.

[tex]\pi * 2[/tex] = 6.28318530718  as you could see that is an irrational number because there is no repetition or termination.

Answer:

c

Step-by-step explanation:

you know what output you get from the input.

For example, you know that if you put in -5, you get -2, or if you put in 4, you get -2.

Even though there are two inputs for one output, it is still a function.

------------------------------------------------------------------------

If there are two outputs for one input, it is not a function.

For example, on d, when -5 is an input, you don't know if you're going to get 3 or 7. So, it's not a function.

//// hope that this helps you and have a great day////

Answer:

the maximum area that can be of a circle that has been cut out of rectangular board can be 70 in zero

Answer:

g=1960

hope it helped

Step-by-step explanation:

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Answer:

-208

Step-by-step explanation:

-162 - 46 = -208

Answer:

-208°F

Step-by-step explanation:

-162°F - 46°F = -208°F

Answer:

C +-4

Step-by-step explanation:

Answer:

1false

2true

Its me, hope from the day we said we would text at 10am remember lollll that person so HI i have a lot of accounts and the other got banned for no reason

Answer:

Complementary angles add to 90 degrees.

If they are equal, each angle is 45 degrees.

Step-by-step explanation: