Write the equation of the line passing through the points (-7,8) and (7,2) The equation of the line is [ ]Can someone please help me!!!

Answer:

-25

Step-by-step explanation:

When you owe someone something, in integers, your answer is in the negative.

Using the Factor Theorem, it is found that the function is given by:

[tex]f(x) = 0.0409(x^3 + x^2 - 77x - 330)[/tex]

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

From the graph, the zeroes are [tex]x_1 = -8, x_2 = -3, x_3 = 10[/tex], hence:

[tex]f(x) = a(x + 8)(x + 3)(x - 10)[/tex]

[tex]f(x) = a(x^2 + 11x + 33)(x - 10)[/tex]

[tex]f(x) = a(x^3 + x^2 - 77x - 330)[/tex]

From the y-intercept, that is, when [tex]x = 0, y = -13.5[/tex], we find a.

[tex]f(x) = a(x^3 + x^2 - 77x - 330)[/tex]

[tex]-330a = -13.5[/tex]

[tex]330a = 13.5[/tex]

[tex]a = \frac{13.5}{330}[/tex]

[tex]a = 0.0409[/tex]

Hence:

[tex]f(x) = 0.0409(x^3 + x^2 - 77x - 330)[/tex]

To learn more about the Factor Theorem, you can take a look at https://brainly.com/question/24380382

Answer:

first guy is wrong

Step-by-step explanation:

my teacher said it's wrong, when I find out the right answer ill put it here

Answer

The answer is C

Explanation:

1.2 divided by 4 = 0.3

2.4 divided by 8 = 0.3

3.9 divided by 13 = 0.3

**hope this helps.... brainly please if possible

Answer:

quotient = 1809

remainder = 2

Step-by-step explanation:

Let me know if i'm right

Answer:

7/12

1/6 to 2/12 add 5/12 to get 7/12

Answer:

It is important because it provides information about ancient Sumerian history and the history of humanity as a whole.

Step-by-step explanation:

Hope this helps.

Answer:

5

Step-by-step explanation:

f(-1) = -3(-1)^3 + 2(-1)^2

f(-1) = -3(-1) + 2(1)

f(-1) = 3 + 2

f(-1) = 5

Hope this helps! Pls give brainliest!

Answer:

5

Step-by-step explanation:

plug in -1 for x

so

[tex] -3 ({ - 1})^{3} + 2 ({ - 1})^{2} [/tex]

went we solve we get

[tex]3 + 2 \\ = 5[/tex]

so 5 is ur answer

pls give brainlist

if any questions ask

have a great day thanks :)

The constant rate of gas consumption gives an equal number of miles per

gallon of gas.

The number of miles per gallon Maria drove is 23.5 miles per gallon

Reasons:

The known information are;

Initial volume of gas in the tank = The tank was filled up

The distance in miles Maria drove = 329

The number of gallons with which Maria filled the tank = 14 gallons

Number of miles driven on each gallon = The same number of miles

Required:

The number of driven per gallon

Solution:

The number of miles driven per gallon is therefore;

[tex]Miles \ per \ gallon = \dfrac{329 \ miles}{14 \ gallons} = 23.5[/tex]

Therefore, Maria drove 23.5 miles per gallon of gas

Learn more here:

https://brainly.com/question/14865898

Answer:

-13, 11, 19

Step-by-step explanation:

You will plug in the numbers for x in each equation so you will have three equations:

1. 8(-1)-5

2. 8(2)-5

3. 8(3)-5

Solve these equations and you will get

1. -13

2. 11

3. 19

Answer:

$4.24

Step-by-step explanation:

100%-15%=85%

85/100x4.99=4.2415

4.2415 rounded off to nearest cent =4.24

Hope this helps! Thanks.

Answer:

15) 104 lbs

16) 263 miles

Step-by-step explanation:

15)  

4/7 of their weight (182) = the water weight

4/7 × 182 = 104 lbs

16)

3.5 months = 920 miles

1 month = 920 ÷ 3.5

= 262.8571429 ≈ 263 miles

Answer:

15) 104 lb

16) 262 6/7 miles/month

Step-by-step explanation:

15)

4/7 * 182 lb = 4/7 * 182/1 lb = (4 * 182)/(7 * 1) lb = (4 * 7 * 26)/7 lb = 104 lb

Answer: 104 lb

16)

(920 miles)/(3 1/2 months) = (920 miles)/(7/2 months) =

= 920/1 miles * 2/(7 months) = (920 * 2 miles)/(7 months) =

= 1840/7 miles/month = 262 6/7 miles/month

This shows that it will take the particle 23 secs to meet.

The distance travelled by each particle is 50cm

If two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube,

The first particle distances are 97cm, 93cm, 89cm... every 2secs

This form an arithmetic sequence and the nth term is expressed as:

Tn = a  + (n - 1)d

a is the first term = 97

d is the common difference = 4

Substitute

Tn = 97+(n - 1)(4)

Tn = 97 + 4n -4

Tn  = 4n  + 93

Similarly for the distances 49 cm, 47 cm, 45cm .....

This also forms an arithmetic sequence and the nth term is expressed as:

Tn = a  + (n - 1)d

a is the first term = 49

d is the common difference = 2

Substitute

Tn = 49+(n - 1)(2)

Tn = 49 + 2n -2

Tn  = 2n  + 47

For the particles to meet, this means that 4n  + 93 = 2n + 47

4n - 2n = 47 - 93

2n = -46

n = -23

This shows that it will take the particle 23 secs to meet.

To get the distance travelled by each particle

Tn  = 4n  + 93

T2 = 4(2) + 93

T2 = 101

For the other sequence;

Tn  = 2n  + 47

T2  = 2(2)  + 47

T2 = 51

Taking the difference;

D = 101 - 51 = 50cm

Hence the distance travelled by each particle is 50cm

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Answer:

aaaaaaaa nad its by

Step-by-step explanation:

Answer:

Step-by-step explanation:

L = Length

W = Width

W = 2L

   2W + 2L = 174

2(2L) + 2L = 174

            6L = 174

              L = 29 ft

W = 2(29) = 58 ft

1 Large Salad uses 10 cherry tomatoes.

1 Small Salad uses 6 cherry tomatoes.

Jorge wants to make 6 large salads: 6 x 10 = 60 cherry tomatoes for the large salads.

4 small salads: 4 x 6 = 24 cherry tomatoes.

Now we add them together to find the total amount: 60 + 24 = 84 Cherry Tomatoes.

I hope this has helped! :)

Answer:

He needs 84 cherry tomatoes.

Step-by-step explanation:

6 * 10 = 60 cherry tomatoes

6 * 4 = 24 cherry tomatoes

60 + 24 = 84 cherry tomatoes

Hope this helps!

Answer:

number of non students=140, students=280

Step-by-step explanation:

let non students be x.

so according to condition, non students=x*9

students=2x*7

now,

2x*7+x*9=3220

so, x=140

Answer: 270 inches squared

Nominal data, derived from the Latin word 'name,' is just that: a name. Republicans, Democrats, Independents, and so on. You have no idea who or why you're voting for, but you do have a party name, so that's something, right? To make this more quantitative, give each a random number of your choosing (usually small sequential numbers like 1, 2, or 3 but it could be anything). The kinds of statistical analysis you can do with nominal data are severely restricted since the value of the number has no relevance in your environment; it's simply a placeholder.

Ordinal data gives a numerical order to a prior category, such as 'Republican,' although that order does not have to signify anything. Let me explain: suppose you're questioned on a poll to rank your preferred candidate on a scale of 1 to 5. Obviously, a value of '5' is better than a value of '1,' but what does it mean? I'm glad you asked.

Interval data takes ordinal ideas and couples them with schemata that make sense. Using our prior 1-5 scale, for example, 1 degree Fahrenheit is cooler than 5 degrees. Interval data lacks a point of origin, which makes sense when discussing temperatures since 0 degrees Fahrenheit does not indicate a lack of temperature.

Ratio data combines the preceding three ideas and adds a point of origin, or '0' value. The greatest example I could think of was speed. We all realize that 5 mph is quicker than 1 mph, precisely since we all know that 0 mph implies we're not moving at all.

91/25, 3.92, 3.928, 2 13/20

im pretty sure this is correct AND IM RLY SRY IF IT ISN’T

The equation in point-slope form to represent the time y it took to download x songs is; (y - 35) = 7(x - 5)

In essence, we can represent the information as;

To find the slope of the equation; we have;

In essence, the equation in point-slope form to represent the time y it took to download x songs is;

Read more:

https://brainly.com/question/6497976

Answer:

h=23

Step-by-step explanation:

triangle equals 180 degrees

180-40=140

140/4=35

Answer:

The correct answer I think is D

Step-by-step explanation:

The explanation of the other person is right, but you do 3-7, which gives u -4

The cost of pen and colored pencils per piece is =10.85

The new total length of both Betty and Beth is =227.2cm

Total number of pens Randy needs to buy = 5

Total number of colored pencils Randy needs to buy= 3

The both items are bought at the same prize = a

The cost of five pens is = 5× a = 5a

The cost of colored pencils is = 3 × a= 5a

The money needed to spend on the items= 86.78

To find the cost of each item which is a ,

5a + 3a = 86.78

(5+3) a= 86.78

8a = 86.78

therefore a = 86.78/8

= 10.85

Therefore the prize of each item is = 10.85. That is option B

Betty's height = 119.2 cm

Beth's height = 105.6cm ( which remained the same)

But Betty's height after 6 months = (6× 0.4) + 119.2

= 2.4 + 119.2

= 121.6 cm

Therefore, the total new height= 121.6 + 105.6

= 227.2cm

That is option A.

Answer:

shorter piece = 6. longer piece = 12

Step-by-step explanation:

short piece = s

long piece = l

l+s= 18

l= 6+s , substitute

6+s+s = 18

6+2s= 18

2s= 18-6

2s= 12

s=12/2

s= 6= shorter piece

l= 6+s

l= 6+6= 12 = longer piece

Answer:

8/27 ft cubed

Step-by-step explanation:

2/3 cubed = 8/27

8/27 ft cubed

9514 1404 393

Answer:

  -0.67, -0.68, -0.69, -0.70, -0.71

Step-by-step explanation:

There are an infinite number of ways to do this.

Perhaps the simplest is to do it in decimal.

 -4/5 = -0.8

  -2/3 = -0.666... (repeating 6)

Any negative decimal number between these values will do. For example, ...

  -0.67, -0.68, -0.69, -0.70, -0.71

__

If you want to choose fractions that are evenly spaced between the given values, you can find their difference, then divide that difference into 6 parts (1 more than the number of numbers you need).

  -2/3 -(-4/5) = 4/5 -2/3 = (12 -10)/(5·3) = 2/15 . . . . length of interval

  1/6 of this difference is ...

     (1/6)(2/15) = 2/90 = 1/45

The interval end point nearest 0 is ...

  -2/3 = -30/45

so the 5 intermediate values will be that value with -1/45 repeatedly added:

  -31/45, -32/45, -33/45 = -11/15, -34/45, -35/45 = -7/9

_____

Additional comment

The fractions we came up with could be referred to as "5 arithmetic means between -2/3 and -4/5." There is nothing in the problem statement suggesting the values need to be evenly spaced.

When doing this in decimal, you can obtain a new value simply by adding more digits to the decimal fraction:

  -0.68, -0.685, -0.6853, -0.68531, -0.799

Answer:

m<A + m<B = 180 degrees = 2pi radians

Step-by-step explanation: