Find the Discriminant and describe the solutions for given quadratic 3² – 2x +3=0​

The ratio p:9 is equal to 50:9 = [tex]\frac{50}{9}[/tex].

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

For solving this equation, firstly, rewrite the information given:

                                          [tex]\frac{p-5}{q-5}=\frac{9}{1} \;(1)\\ \\\frac{p+20}{q+20}=\frac{7}{3} \;(2)[/tex]

From equation 1, you have:

                                        [tex]p-5=9q-45\\ \\ p=9q-40[/tex]

And from equation 2, you have:

                                  [tex]3*(p+20)=7*(q+20)\\ \\ 3p+60=7q+140\\ \\[/tex]

Now, substitute p=9q-40 in 3p+60=7q+140

                                 [tex]3p+60=7q+140\\ \\3*(9q-40)=7q+140\\ \\ 27q-120=7q+140\\ \\ 20q=20\\ \\ q=10[/tex]

If q=10 for p=9q-40,  you will have:

                                [tex]p=9q-40\\ \\ p=9*10-40\\ \\ p=90-40\\ \\ p=50[/tex]

Therefore, the ratio  [tex]\frac{p}{9}[/tex]  is equal to [tex]\frac{50}{9}[/tex].

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If the end behavior is decreasing to the left, then the function or leading coefficient of the function will be negative and the degree of the function will be Odd.

Leading coefficients are the number numerals that are written in front of a variable that has the biggest exponent.

Similar to other coefficients that are regular, they can be:

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Answer:

20x1=20

Step-by-step explanation:

The product of 1 and any number is the number.

Answer:

20x1=20

Step-by-step explanation:

the identity property says whatever the number gets multiplied by 1 would've that number . hope this helpssss . brainliest ?

Answer:

emm 3/5 is 60% and 2/5 Is 40% .....

Answer:

The amount of money in the savings account goes up by $1500 each month

Step-by-step explanation:

The blue line crosses around halfway mark of the box, so a rough estimate would be $1500 per month.

Answer:

a function needs inputs and outputs so just fill in anything that doesn't directly cooralate to itself

Step-by-step explanation:

Answer:

x       y

1        1

1        2

2       2

3       2

Step-by-step explanation:

Check the picture below.

Answer:

First Equation: One Solution

Second Equation: Infinite Solutions

Third Equation: One Solution

Step-by-step explanation:

Let's solve these equations step by step.

[tex]-2x+3=-3x+2\\[/tex]

Subtract 2 and add 2x

[tex]1=-x\\x=-1[/tex]

The only solution here is -1.

[tex]-2x+3=-2x+3[/tex]

Anytime the equations are the same on both sides, we have infinite solutions.

Add 2x

[tex]3=3[/tex]

Any value of x will satisfy this equation.

[tex]-2x+3=2x+3[/tex]

Add 2x and subtract 3

[tex]4x=0\\x=0[/tex]

The only solution here is 0.

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Answer:

Step-by-step explanation:

3x-4=14                       x=6

3x=18

x=18

x=6

Answer:

3 feet per yard

120 feet

________ = 40 yards

3 feet(which makes up one yard)

Answer:

The football field is 360 feet.

Step-by-step explanation:

Convertion: 1 yard = 3 feet

120 × 3

= 360 Feet

[tex]\textit{Law of Cosines}\\\\ \cfrac{a^2+b^2-c^2}{2ab}=cos(C)\implies cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)=\measuredangle C \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ cos^{-1}\left(\cfrac{90^2+55^2-50^2}{2(90)(55)}\right)=\measuredangle C\implies cos^{-1}\left( \cfrac{8625}{9900} \right)=\measuredangle C \\\\\\ cos^{-1}\left( \cfrac{115}{132} \right)=\measuredangle C\implies 29.4^o\approx \measuredangle C[/tex]

Answer:

C=29.4°

Step-by-step explanation:

[tex]c=50\:ft\\\\a=90\:ft\\\\b=55\:ft[/tex]

Using law of Cosines

[tex]C=cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)\\\\C=cos^{-1}\left(\cfrac{90^2+55^2-50^2}{2*90*55\right)}\\\\C=29.4^{o}[/tex]

~

Answer: T

Step-by-step explanation:

By the alternate interior angles theorem, the given statement is true.

Answer:

676 because the .4 is less than .5, which makes it 676

Using the future value formula, it is found that $546,148,903,191,724.25 will be in Devon's account.

It is given by:

[tex]V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right][/tex]

In which:

In this problem, the parameters are as follows: P = 587, r = 0.0525, n = 40 x 12 = 480.

Hence:

[tex]V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right][/tex]

[tex]V(480) = 587\left[\frac{(1 + 0.0525)^{480-1}}{0.0525}\right][/tex]

[tex]V(480) = 546,148,903,191,724.25[/tex]

$546,148,903,191,724.25 will be in Devon's account.

More can be learned about the future value formula at https://brainly.com/question/5025949

Answer:

-1080.

Step-by-step explanation:

I take it that k = -3, if so:-

x = -3yz

  =  (-3)*18*20

   = -1080.

A line that is perpendicular to a line with slope m has slope -1/m which is the opposite reciprocal of the original slope.

In this case the original line in standard form is

2x-4y=-8

transform this into slop intercept form

-4y=-2x-8

4y=2x+8

y=(1/2)x+2

The slope of this original line is 1/2 therefore the perpendicular line will have slope -2

y'=2x'+b

then substitute in the order pair (x',y')

1=2(-2)+b

b=5

Therefore equation of line is

y=2x+5

The graph is just following this equation!

If you have any questions about my explanation please ask I will answer them to the best of my ability.

Answer:

6 triangles

Solution: In a regular octagon, by joining one vertex to the remaining non-adjacent vertices, 6 triangles can be formed.Step-by-step explanation:

Answer:

-The unknowns of this situation is how much they sold it for.

-Mr.Bust: 32*x=168

-Mr. Sulivian:48*h=156                        *=multiply

-Mr.Bust sold it for more money

-he sold for 12

Answer: 7 dollars

Step-by-step explanation:

You can use a math calculator do 13 + -6

1.  An egg

2. A candle

Answer:

it would d the last one

Step-by-step explanation:

Answer:

Every input has exactly one output

Step-by-step explanation:

The easiest definition of function is

If R is relation between (x,y) then

It simply means that every domain has an unique range

I'm assuming you meant to write 8^(-2) or [tex]8^{-2}[/tex] where the -2 is the exponent over the 8.

If my assumption is correct, then we use the rule [tex]a^{-b} = \frac{1}{a^b}[/tex]

So,

[tex]a^{-b} = \frac{1}{a^b}\\\\8^{-2} = \frac{1}{8^2}\\\\8^{-2} = \frac{1}{64}[/tex]

Answer:

[tex]x=-35[/tex]

Step-by-step explanation:

Given the following question:

[tex]59+x=24[/tex]

To find the answer we are going to use inverse of operations to isolate the variable, doing this we can then find the value of the variable.

[tex]59+x=24[/tex]
[tex]59-59=0[/tex]
[tex]24-59=-35[/tex]
[tex]x=-35[/tex]

Your answer is "x = -35."

Hope this helps.

Answer:

10.7222222

Step-by-step explanation:

965 / 53 - 42 + 79

965 / 11 + 79

965 / 90

= 10.7222222

Answer: 1200 in.

Step-by-step explanation: your welcome

Answer: 1200 in² other person was right

Step-by-step explanation: with proof

Answer:

4,849

Step-by-step explanation:

1010+3839=4849

Answer:

4,849

Step-by-step explanation:

Brainliest please

Answer:Time(pages) is the correct answer apex test.

Answer:

A. Time(Pages)

Step-by-step explanation: