Please help I will mark you brainlest and give you 30 point!!

Answer:

Step-by-step explanation:

irrational roots always occur in pairs.

Other root is also irrational and is negative of first zero.

If a quadratic equation with integer coefficients and two distinct roots have one irrational root then another root is also irrational .

Any equation of the  form [tex]ax^{2}+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Let assume quadratic equation is

[tex]ax^{2}+bx+c=0[/tex]

Given that coefficients are integer and roots are distinct

we know root of quadratic equation are

[tex]x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]

As roots are distinct

[tex]b^2-4ac > 0\\[/tex]

and one root is irrational so [tex]b^2-4ac[/tex] is not a perfect square

Hence another root is also irrational .

If a quadratic equation with integer coefficients and two distinct roots have one irrational root then another root is also irrational .

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Given:

Principal = $400

Rate of interest = 6% compounded monthly

Time = 5 years.

To find:

The amount in the bank after 5 years.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest, n is the number of time interest compounded in an year and t is the number of year.

Interest compounded monthly. So, [tex]n=12[/tex].

Putting [tex]P=400, r=0.06, n=12[/tex] and [tex]t=5[/tex], we get

[tex]A=400\left(1+\dfrac{0.06}{12}\right)^{12(5)}[/tex]

[tex]A=400\left(1+0.005 \right)^{60}[/tex]

[tex]A=400\left(1.005 \right)^{60}[/tex]

[tex]A\approx 539.54[/tex]

Therefore, the amount of money in the bank after 5 years is $539.54.

Answer:

102

Step-by-step explanation:

These angles are congruent due to corresponding angles thm

3x + 21 = 6x - 60

3x - 6x = -60 - 21

-3x = -81

x = 27

3x + 21

3(27) + 21

81 + 21

102

Answer:

Step-by-step explanation:

hello :

f(x) = 5x - 7 and f(x) = -3

5x - 7  = -3

5x=7-3

5x=4

x=4/5

Answer:

x = 4/5

Step-by-step explanation:

5x - 7 = -3

5x = -3 + 7

5x = 4

x = 4/5

Check:

5*4/5 - 7 = -3

4 - 7 = -3

Answer:

x ≥ -6

Step-by-step explanation:

The arrow is directing towards the right, in which the line contains number greater than -6. Moreover the circle on top of -6 is closed, proving that it is 'greater than or equal to'. (if it was greater than, the circle on top of the number would be open; the inner part of the circle wouldn't be shaded)

Answer:

44

Step-by-step explanation:

I just used mental math soooo.......

have a great day luvs <3

Answer:

44

Step-by-step explanation:

3+4+8+9+2+5+6+7=

7+8+9+2+5+6+7=

15+9+2+5+6+7=

24+2+5+6+7=

26+5+6+7=

31+6+7=

37+7= 44

44 = 44

Answer:

x ≤ 72

He needs to sell 72 more bags.

Step-by-step explanation:

Cho has sold 28 bags and his goal is to sell 100 bags write an inequality to show how many more bags he needs to sell

Let x represent the number of bags he needs to sell

28 + x ≤ 100

x ≤ 100 - 28

x ≤ 72

Therefore he needs to sell 72 more bags.

Answer:

Caylee saved $1.5 by using the coupon.

Step-by-step explanation:

In order to find the amount that Caylee saved by using the coupon, you have to calculate 10% that is the discount percentage of the price of the item which is $15:

$15*10%=$1.5

According to this, the answer is that Caylee saved $1.5 by using the coupon.

Answer:

Mode is 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. A: 147 Degrees B: 33 Degrees

2. A: 121 Degrees B: 59 degrees

It would be the same as the other side.

Answer: 30%

Step-by-step explanation:

Method 1:

The original fraction is [tex]\frac{3}{10}[/tex]

To convert to a percent, the denominator should be equal to 100 (since percent is per 100)

Multiply the top and bottom by 10

[tex]\frac{3}{10} * \frac{10}{10} = \frac{30}{100}[/tex]

Since the numerator is 30, 3/10 as a percent is 30%

Method 2:

The original fraction is [tex]\frac{3}{10}[/tex]

To convert to a percent, first convert the fraction to a decimal (do 3 ÷ 10)

     0.3

10 | 3 0

     -30

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

          0

You get 0.3

Now multiply the decimal by 100

0.3 * 100 = 30

30%

Method 3:

The original fraction is [tex]\frac{3}{10}[/tex]

[tex]\frac{3}{10} = \frac{x}{100} \\10x = 300\\x = 30[/tex]

cross-multiply to solve the equation

30%

answers for 5 and 6

5) C

6) B

Step-by-step explanation:

hope this helped

Answer:6x=-23 - 1

6x=-24

X=-4

Step-by-step explanation:

Answer:

x^2 - 6x - 6, remainder -23

Step-by-step explanation:

Start like this:

              3    |     1      -8      9     -5

                    |

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

First step is to copy the 1 to below the line.

              3    |     1      -8      9     -5

                    |

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

                           1

Now multiply 3 by 1 and write below the -8. Then add the product to the -8 and write the sum below the line.

              3    |     1      -8      9     -5

                    |              3

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

                           1     -5

Now multiply 3 by -5 and write below the 9. Then add the product to the 9 and write the sum below the line.

              3    |     1      -8      9     -5

                    |              3    -15

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

                           1     -5     -6

Now multiply 3 by -6 and write below the -5. Then add the product to the -5 and write the sum below the line.

              3    |     1      -8      9     -5

                    |              3    -15    -18

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

                           1     -5     -6     -23

Answer: x^2 - 6x - 6, remainder -23

The solution is, x^2 - 6x - 6, and, the  remainder -23.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

divide x^3-8x^2+9x-5 by x-3

Start like this:

             3    |     1      -8      9     -5

                   |

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

First step is to copy the 1 to below the line.

             3    |     1      -8      9     -5

                   |

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

                          1

Now multiply 3 by 1 and write below the -8. Then add the product to the -8 and write the sum below the line.

             3    |     1      -8      9     -5

                   |              3

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

                          1     -5

Now multiply 3 by -5 and write below the 9. Then add the product to the 9 and write the sum below the line.

             3    |     1      -8      9     -5

                   |              3    -15

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

                          1     -5     -6

Now multiply 3 by -6 and write below the -5. Then add the product to the -5 and write the sum below the line.

             3    |     1      -8      9     -5

                   |              3    -15    -18

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

                          1     -5     -6     -23

Hence, Answer: x^2 - 6x - 6, remainder -23

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Answer:

its d

Step-by-step explanation:

Answer:

x = 9.83

Step-by-step explanation:

Reference angle = 55°

Opposite = x

Hypotenuse = 12

Apply trigonometric function SOH:

Sin 55 = Opp/Hyp

Sin 55 = x/12

12 × Sin 55 = x

9.82982453 = x

x = 9.83 (nearest hundredth)

Answer:

11,340

Step-by-step explanation:

5% = 420 420 x 7 = 2940

2940 + 8400 = 11,340

Answer:

6in

Step-by-step explanation:

Given data

Volume of the lockbox= 312 cubic inches

Height= 4in

Length= 13in

Width= ???

The expression for the volume of box is

V= L*W*H

substitute

312=13*W*4

312=52W

W= 312/52

W=6 in

Hence the width is 6in

Answer: b. 3x + 2

Step-by-step explanation:

2l + 2w = p

2l + 2(2x - 1) = 10x + 2

2l + 4x - 2 = 10x + 2

2l = 6x + 4

l = 3x + 2

Answer:

20 lbs

Step-by-step explanation:

is heidi dieting cuz thats good!

4 lbs x 5 months = 20 lbs

Answer:

They sold 4 cakes

and 5 pies...

Step-by-step explanation:

four cakes cost $44 and 5 pies cost $30

44+30= 84

really I just used trial and error by plugging in numbers.

hope this helps chu <3

Answer: 12

Step-by-step explanation:

We know that , the ceiling function y = [x] is also known as the least integer function that gives the smallest integer greater than or equal to x.

For example : For x= 1.5

y = [1.5] =2

For x= 3.64

y = ⌊3.64⌋=4

The given function :

Then, for x= 5.9 , we have

[since [3.9]=4 (least integer function)]

Therefore, the value of f(5.9) is 12

The value of the function f(5.9) will be 12. The correct option is D.

In mathematics, a function is a rule that assigns a unique output value to each input value in a specified domain. A function is often denoted by a letter such as f, and we write f(x) to represent the output value associated with an input value x.

We know that the ceiling function y = [x] is also known as the least integer function that gives the smallest integer greater than or equal to x.

For example: For x= 1.5

y = [1.5] =2

For x= 3.64

y = ⌊3.64⌋=4

The given function :

Then, for x= 5.9, we have

F[3.9]=4 (least integer function)]

Therefore, the value of f(5.9) is 12.

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Answer:

ok

Step-by-step explanation:

Answer:

140 DEGREES

Step-by-step explanation:

160-20=140

Answer: Tigers: Linear Function

Narwhals: Linear Function

Answer:

13

Step-by-step explanation:

If you were to plug the points into a graph you would have to go down 6 over 7 making it 13

Answer:

We need for inforamtion like what is the volume for both of the shapes

Step-by-step explanation: