graph the line that passes through the points (-4, -9) and (1,1) and determine the equation of the line

Hi there!

[tex]\large\boxed{x = 2.5}[/tex]

y = x² - 5x - 6

Rewrite into factored form by finding two numbers that sum up to -5 and multiply into -6. We can use the numbers -6 and 1:

y = (x - 6)(x + 1) is the equation in factored form.

There are zeroes at:

0 = x - 6

x = 6

0 = x + 1

x = -1

Find the x-value exactly half-way between the two zeroes to find the axis of symmetry:

(-1 + 6) / 2 = 5 / 2 = 2.5

Therefore, the equation for the line of symmetry is:

x = 2.5

Answer:

Step-by-step explanation:

I will NEVER fly delta again after the incident of 1992!!!! DISGUSTONG

Answer:

Step-by-step explanation:

4y-9+9= 4y since the 9's cancel each other out.

Answer:

2.67 minutes or 2 2/3 minutes

Step-by-step explanation:

To find the amount of time she spent on each you would divide the time by amount

16 / 6 = 2.6666...

Rounded = 2.7 minutes

Answer:

2x-2

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

Step-by-step explanation:

rip

The only numbers you can plug into a logarithm are positive numbers not equal to 1. Negative numbers, and the number 0, aren’t acceptable arguments to plug into a logarithm, but why?

The reason has more to do with the base of the logarithm than with the argument of the logarithm. To understand why, we have to understand that logarithms are actually exponents. The base of a logarithm is also the base of a power function.

When you have a power function with base 0, the result of that power function is always going to be 0. In other words, there’s no exponent you can put on 0 that won’t give you back a value of 0. Or, put a different way, 0 raised to anything is always still 0. In the same way, 1 raised to anything is always still 1.

If you raise a negative number to a positive number that’s not an integer, but instead a fraction or a decimal, you might end up with a negative number underneath a square root. And as you know, unless we’re getting into imaginary numbers, we can’t deal with a negative number underneath a square root.

So 0, 1, and every negative number presents a potential problem as the base of a power function. And if those numbers can’t reliably be the base of a power function, then they also can’t reliably be the base of a logarithm.

For that reason, we only allow positive numbers other than 1 as the base of the logarithm. Then what we know is that, if the base of our power function is positive, it doesn’t matter what exponent we put on that base (it could be a positive number, a negative number, of 0), that power function is going to come out as a positive number.

So in summary, because the base can only be a positive number, that means the argument of the logarithm can only be a positive number. Which means that in order to protect our bases, we have to only allow positive arguments inside the logarithm.

Hope this helps!

No ,it is  not possible for a logarithm to equal a negative number.

A logarithmic is the power to which a number must be raised in order to get some other number.

For example, the logarithm base b of a number n is the number x that when b is raised to [tex]x^{th}[/tex] power, the resulting value in n i.e.

[tex]log_{b}n = x[/tex]  ⇔ [tex]b^{x} =n[/tex]

No, it is possible for a logarithm to equal a negative number because  logarithm function [tex]log_{a}(b) = n[/tex] is the inverse of the exponent function [tex]a^{n} =b[/tex] where the base a>0. Since, the base a raised to any exponent n is positive, the number b must be positive.

The logarithm of a negative number b is undefined.  

Hence, it is not possible for a logarithm to equal a negative number.  

Learn more about logarithm here:  

https://brainly.com/question/3181916

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Answer D

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer: 1,356 tickets

12x=16,272

divide by 12 on both sides

12x÷12=16,272÷12

x=16,272÷12

x=1,356

I hope this is good enough:

Answer:

the markup is 11.2 the original selling price was 44.8

Step-by-step explanation:

25 percent of 44.8 is 11.2 and 44.8 plus 11.2 is 56.

so 11.2 markup and 44.8 selling price

Answer:

3.582

Step-by-step explanation:

Find the number in the thousandth place  2  and look one place to the right for the rounding digit  3 . Round up if this number is greater than or equal to  5  and round down if it is less than  5 .

3.582

Hope this helps!! Please consider marking brainliest!!

Answer:

The submarine would be 76 1/2 feet underwater after it is finished diving

Step-by-step explanation:

Multiply 25 1/2 (the amount of feet traveled down each move) by 3 ( the amount of moves it goes downward) to get 76 1/2 feet.

Answer:

If we know that [tex]x = 1[/tex] and [tex]y = 9[/tex], the value of [tex]g[/tex] is 19.

Step-by-step explanation:

Let [tex]C(x,y) =(-2,12)[/tex] and [tex]D(x,y) =(4,6)[/tex], from Analytical Geometry and Linear Algebra we have that midpoint of CD is determined by:

[tex]M(x,y) = \frac{1}{2}\cdot C(x,y)+\frac{1}{2}\cdot D(x,y)[/tex] (Eq. 1)

[tex]M(x,y) = \frac{1}{2}\cdot (-2,12)+\frac{1}{2}\cdot (4,6)[/tex]

[tex]M(x,y) = (-1,6)+(2,3)[/tex]

[tex]M(x,y) =(-1+2,6+3)[/tex]

[tex]M(x,y)= (1,9)[/tex]

If we know that [tex]x = 1[/tex] and [tex]y = 9[/tex], the value of [tex]g[/tex] is 19.

Answer:

1/12, 1/10

Step-by-step explanation:

P(Bead bracelet and red shoes) - 3/3 x 2 x 2

3/12=1/4 for bead bracelet

Red shoes - 1/3

Total probability for P(Bead bracelet and red shoes=1/4 x 1/3=1/12

P(Elastic bracelet and black shoes)

2/3 x 2 x 2

2/12=1/6 for elastic bracelet

Black shoes - 3/5

Total probablility for P(Elastic bracelet and black shoes)=1/6 x 3/5=3/10=1/10

Hope I helped!

Answer:

y = -5x - 8

Step-by-step explanation:

Take the points (-5,-4) and (0,-3) plug them into this formula to get the slope.

[tex]\frac{y2 - y1 }{x2 - x1}[/tex]

Now plug in your points

[tex]\frac{-3 - (-4)}{0 - (-5)} \\\\\frac{1}{5}[/tex]

Since you're slope is 1/5 the slope of the perpendicular line is going to be the totally opposite -5 is the slope of the perpendicular line.

Now plug in -5 and the point (-2,2) into y = mx + b to get the y-intercept

2 = -5(-2) + b (b represents the y-intercept)

2 = 10 + b (subtract 10 from both sides)

-8 = b

The perpendicular line looks like this y = -5x - 8

Hope this helps ya! Keep smiling!

x will equal 30...set them equal to each other and solve from there

Answer:

One

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

4 x _ = 10

_ = 10/4

_ = 2.5

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Answer:

plátanos

Step-by-step explanation:

si por cada 666 kiwis hay 888 plátanos, divides todo por 2, y te da 333 kiwis ⇒ 444 plátanos

Answer: Sara would earn  $478 for that week

Step-by-step explanation:

1. Sara's weekly salaries is $400, and she gets 6.5% on sales at her work.

2. In order to find how much she would get from the commission of $1200 worth of merchandise they sold, we need to find the 6.5% of 1200

Step 1: Our output value is 1200.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above, 1200=100%.

Step 4: Similarly, x=6.5%.

Step 5: This results in a pair of simple equations:

1200=100%(1).

x=6.5%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both  equations have the same unit (%); we have

[tex]\frac{1200}{x} = \frac{100}{6.5}[/tex]

Step 7: Again, the reciprocal of both sides gives

[tex]\frac{x}{1200} =\frac{6.5}{100}[/tex]

⇒[tex]x=78[/tex]

Therefore, 6.5% of $1200 is $78

3. you would then need to add 400 + 78 and you get a total of $478

Answer:

I believe its 9 hours.

Step-by-step explanation:

Divide 180 by 12 to get 15

So Linda makes 15 dollars an hour

Then divide 135 by 15 to get 9

Linda would need to work 9 hours to get $135

Answer:$255

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let angles are 2x,3x,5x

So given 2x=50

X=25.

3x=3×25=75.

5x=5×25=125.

Answer:

112.5

Step-by-step explanation:

plz mark me brainlest if its correct lol

Answer:

112.5

Step-by-step explanation:

(Checked and correct)

Answer:

Time left for other activities = 7/24 hours

Step-by-step explanation:

The complete question is "Sam has been wondering where the 24 hours in a day goes. On Monday, he spent 1/3 of the day sleeping, 1/4 of the day in school, and 1/8 of the day at soccer practice. How much time was left for other activities?"

Spent 1/3 of the day sleeping,

Spent 1/4 of the day in school

Spent 1/8 of the day at soccer practice.

Time consumed for all these activities = (1/3+1/4+1/8)

Time consumed for all these activities = (8+6+3)/24

Time consumed for all these activities = 17/24

Time left for other activities = (1 - 17)/24

Time left for other activities = (24-17)/24

Time left for other activities = 7/24

Answer:

Step-by-step explanation:

I needed points ⬛️⬛️

Answer:

8,442 bottles of alchohol were donated.

Step-by-step explanation:

201×42= 8,442

Answer:

1. 50%

2.[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

1. The way to approach the probability of rolling an odd number is to start with the total numbers. Therefore, each dice has three even sides and three odd sides. Mathematically - 50% chance of landing on the odd number.

2. You have 'P' which represents probability. "N" which is the given ratio of the number of outcome. (NP) total number of the possible outcome.

P = N / NP

Dice has 6 faces. I.E. 1,2,3,4,5,6

= 6

NP, therefore, is the total number of possible outcome.

Faces less than 6. (1,2,4, and 5)

N = 5

P = N / NP = [tex]\frac{5}{6}[/tex] ; it can't be reduced.

You mean like graph? Yeah.

Write in Function form

[tex]\frac{y-3}{x-6}=2\\y-3=2(x-6)\\y=2(x-6)+3\\y=2x-12+3\\y=2x-9[/tex]

So (y-3/x-6)=2 does represent "line"

[tex]\frac{y-6}{x-4}=5[/tex]

multiply x-4 all side.

[tex]y-6=5(x-4)[/tex]

Notice how the equation is similar to "Tangent" so it's clearly a line.

About reasoning, No idea how to explain but this might help...

Whenever you get rid of the fraction part, it'll leave only y-f(a)=f'(a)(x-a) which is a Tangent Line (It explains it.)

And when you simplify in Function Form, you'll get an exact linear function  "[tex]y=mx+b[/tex]"

Answer:

a.  [tex]3x^{2} \\\\[/tex]

b. [tex]5x+1[/tex]

Step-by-step explanation: