Mark is working with the quadratic function y= x2 - 10x + 7. Determine the number and type of roots for the equation using the discriminant.

Answer:

If you're solving for a variable in an inequality and you need to multiply or divide each side by a negative number, then flip the symbol.

Step-by-step explanation:

The steps are discussed below:

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

The rules to solve an inequality is

• you can add the same quantity to each side

• you can subtract the same quantity from each side

• you can multiply or divide each side by the same positive quantity

Also, If we multiply or divide each side by a negative quantity, the inequality symbol must be reversed.

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The percentage change when a price of 200 is increased to 210.99 is 5.495%.

A percentage is a relative number that represents a hundred parts of any quantity.

The initial price is 200.

And the final price is 210.99.

The formula for the percentage change is,

Percentage change = [(Final value - Initial value)/Intitial value] * 100

Putting the given values in the above formula, we get

= [(210.99 - 200)/200] * 100

= [10.99/200] * 100

= 0.05495 * 100

= 5.495

Hence, the percentage change when a price of 200 is increased to 210.99 is 5.495%.

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Answer:

Real Number  

Step-by-step explanation:

These are numbers which include both rational AND irrational!!!

Doesn't go on forever.

Brainliest??

Answer:

2.95 each

Step-by-step explanation:

Answer:

rational number

Step-by-step explanation:

Answer:

0.2857142857

Step-by-step explanation:

Plugging in 7 to the equation, we get 14(7)^-2 = 0.2857142857

Answer:

I think that's the answer.

Answer:

3,456

Step-by-step explanation:

2 times 2 times 2 times 2 equals 16

6 time 6 times 6 equals 216

216 times 16 equals 3,456

Answer:

3/2

Step-by-step explanation:

3^-4 x 2^3 x 3^2/2^4 x 3^-3

base 3 will be numerator and base 2 will be denominator:

3^-4 * 3^2 * 3^3 / 2^4*2^-3

Now add the exponents of the base:

3^-4+2+3/ 2^4-3

3^-4+5/ 2^1

3/2

The correct option is 3/2

Answer:

3/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is easier the 2nd time.

Multiplication and Division of Integers. RULE 1: The product of a positive integer and a negative integer is negative. RULE 2: The product of two positive integers is positive. RULE 3: The product of two negative integers is positive.

Answer:

[tex]58x-54=468[/tex]

Step-by-step explanation:

Number of repeat customers = 40

Amount charged from each of the repeat customers = $ x

So,

amount charged from 40 customers = $ 40 x

Number of new customers = 18

As Michel charged each of the new subscribers $3 less than the amount charged from each of the repeat customers,

amount charged from each of the new customers = $ (x - 3)

So,

amount charged from 18 new customers = $ 18(x - 3)

Total amount charged from repeat and new customers = [tex]\$[(40x)+18(x-3)]=\$40x+18x-54=\$58x-54[/tex]

As Michel collected $468 for delivering newspapers,

[tex]58x-54=468[/tex]

Answer:

$36.74

Step-by-step explanation:

   $45.92

-     20%

________

36.736

$36.74

Answer:

Let's see what to do buddy..

Step-by-step explanation:

_________________________________

STEP (1)

We have to first find the slope of the given line. To do that we must write the given line to slope-intercept form.

[tex]5x - 3y = 8[/tex]

Subtract the sides of the equation minus 5x :

[tex] - 3y = 8 - 5x \\ - 3y = - 5x + 8[/tex]

Divided the sides of the equation by -3 :

[tex] \frac{ - 3}{ - 3}y = \frac{ - 5x + 8}{ - 3} \\ \\ y = \frac{5}{3}x - \frac{8}{3} [/tex]

We know that the slope-intercept form of the linear functions is like this :

[tex]y = a \: x + b[/tex]

Where a is the slope and b is width of origin.

So the slope of the given line is 5/3.

_________________________________

STEP (2)

The slopes of two lines perpendicular to each other are symmetrical and inverse to each other.

In other words, the product of the slopes of two lines perpendicular to each other is -1 .

So :

[tex] \frac{5}{3} \times (t) = - 1 \\ [/tex]

Divided the sides of the equation by 5/3 :

[tex] \frac{ \frac{5}{3} }{ \frac{5}{3} } \times t = \frac{ - 1}{ \frac{5}{3} } \\ \\ t = - \frac{3}{5} [/tex]

((t)) is the slope of the line which we want to find.

_________________________________

STEP (3)

We have this equation to find the slope-intercept form of the linear functions :

[tex]y - y(given \: point) = (slope) \times ( \: x - x(g \: p) \: ) \\ [/tex]

Now Just need to put the slope and the given point in the equation:

given point = ( -5 , 2 )

slope = -3/5

[tex]y - 2 = - \frac{3}{5}(x - ( - 5)) \\ y - 2 = - \frac{3}{5}(x + 5) \\ y - 2 = - \frac{3}{5}x - 3 \\ [/tex]

Subtract the sides of the equation plus 2 :

[tex]y = - \frac{3}{5}x - 1 \\ [/tex]

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

(6÷

–

3)2×8

Step-by-step explanation:

the answer is 4

Answer:

She Flipped the symbol

Step-by-step explanation:

Please don't cry. I will explain it to you. Just please don't cry.

She multiplied correctly. But in her end result, she flipped the symbol.

You only flip symbols when multiplying or dividing by a negative number.

I hope this helps! Please don't cry :)

Answer:

9.4606x10^12 kilometers

Step-by-step explanation:

The scientific notation is numbers is exponents with a base of 10. As this number is 9.4606 trillion, we need to use 1 trillion as 10^12. Then we multiply by 9.4606 to get 9.4606x10^12 km. Hope it helps!

Answer:

15x + 7

Step-by-step explanation:

To solve the equation, you distribute the x to all the terms within the parentheses. When you distribute, you get:

3x + 4x + 8x + 7

Add all the like terms and you get the final answer.

Answer:

1/6

Step-by-step explanation:

you just multipy  across.

Answer:

x = 254.7 divided by 50

Step-by-step explanation:

This is the first step to finding the best sale. You need to know how many 6.99 packages of mulch you need to cover your whole garde, to see how much you will pay for all of those packages

Answer:

d

Step-by-step explanation:

Answer:

23.4

Step-by-step explanation:

Answer:

3,500 meters

Step-by-step explanation:

3.5 x 1000=3500

Answer:

3500 I swear

Step-by-step explanation:

[tex]s^2=1^2+2^2\\s^2=1+4\\s^2=5\\s=\sqrt5[/tex]

s²=5 , so we look for the nearest squares, one less than 5 and the other greater.

First it would be perfect squares, which means 4=2² and 9=3²

4 < 5 < 9  so   2 <√5 < 3

now we'll do the same with the numbers with tenths, but to speed up we don't check them all. We do estimation for the square root knowing that it must be between 2 and 3

5 is close to 4 then 9, so I estimate 2.3 for its square root

(2.3)² = 5.29  - it is close but more then 5 so I look for less number then 2.3

(2.2)² = 4.84 - it is also close and less then 5 so:

4.84 < 5 < 5.29  therefore   2.2 < √5 < 2.3 and:

5 - 4.84 = 0.16  ; 5.29 - 5 = 0.29  

0.16 < 0.29  means the √5 is closer to 2.2 then 2.3

So the √5 rounded to the nearest tenth is 2.2

Of course is much easier if you can use the calculator. Then you have:

√5 = 2.2360679... ≈ 2.2         {because 3<5}

:)

Answer:

14 degrees

Step-by-step explanation:

12 + 25 - 23 = 14

Answer:

Step-by-step explanation:

Ok since they haven't specifically told use what the four consecutive numbers is we gotta use

X, x+1, x+2, x+3

Then you collect the like terms and sum them up

x+x+x+x+ 1 + 2 + 3 =278

4x+6=278

4x=272

Then you simplify

4x/4= 272/4

x=68

Now that you know what x is then the four consecutive numbers are 68, 69, 70, 71.

Adiosss

But the way I think I know do you have exams tomorrow??

let me know if this is wrong

Answer:

Exact Form:  x = 7 3

Decimal Form:  x = 2. ¯ 3

Mixed Number Form:  x = 2  1 /3

Answer:

She deposits $17.00 each week

Step-by-step explanation:

You multiply 85 times 0.2 which gives you 17.

Answer:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.

Answer:

1,341.73375

Step-by-step explanation:

First I added 546+693=1239

Then I divided that by 24 (2 dozens) and that gave me 51.625 boxes

then I multiplied that by the amount of money per box.

51.625x25.99= 1,341.73375