Find the equation for the line bellow

Answer:

Yep linear functions look like diagonal lines. Vertical lines have a slope of 0 whilst horizontal lines aren’t even defined. Diagonal and horizontal don’t work since horizontal aren’t defined so if one doesn’t work then it won’t work.

So (a) is the answer

Diagonal lines are linear functions

Answer:

Diagonal lines........

Recall the binomial theorem:

[tex]\displaystyle (a + b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k[/tex]

where [tex]\binom nk = \frac{n!}{k!(n-k)!}[/tex] is the binomial coefficient.

Take a = x/3, b = -3, and n = 7. Then we get the x⁵ and x⁴ terms when 7 - k = 5 and 7 - k = 4, respectively; or when k = 2 and k = 3.

[tex]k=2 \implies \dbinom 72 \left(\dfrac x3\right)^{7-2} (-3)^2 = 21 \cdot \dfrac{x^5}{243} \cdot 9 = \dfrac79 x^5[/tex]

[tex]k=3 \implies \dbinom 73 \left(\dfrac x3\right)^{7-3} (-3)^3 = 35 \cdot \dfrac{x^4}{81} \cdot (-27) = -\dfrac{35}3 x^4[/tex]

Then when multiplying this expansion by x - 6, we get an x⁵ terms from the products

[tex]\dfrac79 x^5 \cdot (-6)[/tex]

and

[tex]-\dfrac{35}3 x^4 \cdot x[/tex]

so that the x⁵ term in the overall expansion of (x/3 - 3)⁷ (x -  6) has a coefficient of

[tex]\dfrac79\cdot(-6) + \left(-\dfrac{35}3\right) \cdot 1 = \boxed{-\dfrac{49}3}[/tex]

Answer:

x = -3

Step-by-step explanation:

2/3x + 4 = 2

2/3x = 2 - 4

2/3x = -2

2x = -2 * 3

2x = -6

x = -6/2

x = -3

Answer:

answer below

Step-by-step explanation:

9(y = 1/9x + 5)

9y = x + 45

-x + 9y = 45

x - 9y = -45

Answer:

(2,5) -- that is, x is 2, and y is 5, so it would be choice A.

Step-by-step explanation:

5(2x+1)-7x=11

10x+5-7x=11

3x=6

x=2

y=2(2)+1=5

Set up figure, side length x, and width x-7. Set equation up

[tex]228 = (x)(x - 7) \\ 228 = {x}^{2} - 7x \\ {x}^{2} - 7x - 228 = 0 \\ (x - 19)(x + 12) = 0 \\ x = - 12 \\ x = 19[/tex]

Since the value x, cannot be negative, x is equal to 19. Therefore the length is 19, width 12 (19-7)

Answer:

Either one: the two line have a point in common, or infinite: they are the same line.

Answer:

The mode is 31

good luck naka

Answer:

x = -3

Step-by-step explanation:

The two angles shown are corresponding angles, meaning that they have the same value. Because of this, we can create an equation to solve for the value of x.

2x + 9 = 7x + 24

Remember, those two angles are similar, and that's why we can make the two values equal to each other. First, let's remove 7x from both sides.

2x - 7x + 9 = 7x - 7x + 24

-5x + 9 = 24

Then, we'll remove 9 from both sides.

-5x + 9 - 9 = 24 - 9

-5x = 15

Finally, we'll divide both sides by -5 to isolate x and figure out what it is equivalent to.

-5x/-5 = 15/-5

x = -3

And there it is... the value of x. Hopefully that's helpful! :)

Answer:

4

Step-by-step explanation:

4 sets of strings will cost:

4×5=20

He will have $2 left over. Not enough to buy another set.

Or 5x<=22 DIVIDE BOTH SIDES BY 5

x <= 4.4 since he cannot buy .4 sets (this is a fraction of a set) He can only buy 4 sets

Answer:0.07% because 710-654 is 56 and 56 divided by 710 is 0.07

Answer:

Step-by-step explanation:

Find the difference between the actual and estimate, this is the error:

Find the percent error, which is the error over the actual:

Answer:

4,-1

Step-by-step explanation:

Please like!♥

we have: -10/4 = -2.5 ⇒ -2 > -2.5 > -3

ANSWER : -2 and -3

ok done. Thank to me :>

Jesus was born in 4 BC (more or less) and live to be 33 years old, which means His death was around 29 AD (more or less). That was precisely, 1992 years ago

Answer:

v=[tex]\frac{(w+v)/t}{2}[/tex]

Step-by-step explanation:

just inverse operations and you will always get your answer :)

Answer:

1164.25

Step-by-step explanation:

Answer:

the second and the fourth have a range of real no

[tex]\text{Given that,}~x^2 +y^2 = 125 ~ \text{and}~ xy =22\\\\(x+y)^2 = x^2 +y^2 +2xy = 125 +2(22) = 169[/tex]

[tex]\huge \bf༆ Answer ༄[/tex]

Here's the solution ~

[ by using formula ]

I hope it helps ~

Answer:

Ascending order = 7,7,7,8,10,11,12,12

a) n = 8

= median = (n/2+(n/2+1)/2

= (4th term + 5th term)/2

= 8+10/2

= 9

b) range = 12-7 = 5

c) the mode = 7 (highest occuring value)

The median of the given list of numbers is 9.

The range of the given list of numbers is 5.

The mode of the given list of numbers is 7.

We have,

a) To find the median of a set of numbers, we arrange them in ascending order and determine the middle value.

If there is an odd number of values, the median is the middle number.

If there is an even number of values, the median is the average of the two middle numbers.

Arranging the numbers in ascending order: 7 7 7 8 10 11 12 12

There are eight numbers in this set, so the middle two numbers are 8 and 10.

Taking their average, the median is (8 + 10) / 2 = 9.

b) The range is the difference between the highest and lowest values in the set.

The lowest value is 7, and the highest value is 12.

So the range is 12 - 7 = 5.

c) The mode is the value that appears most frequently in the set.

In the given list, the number 7 appears three times.

Therefore,

The median of the given list of numbers is 9.

The range of the given list of numbers is 5.

The mode of the given list of numbers is 7.

Learn more about the median here:

https://brainly.com/question/28060453

#SPJ2

Answer:45

Step-by-step explanation: math solver

Answer:

the answer is not there. the answer is -34

Step-by-step explanation:

11-5(9) .        11-45

Answer:

32+[tex]\sqrt{200}[/tex]

Step-by-step explanation:

First - one side is 10m and other one is 16, so adding this 26m

Second-hypotenuse is sqrt of 10*10+10*10.

Third-  Remainder is 16-10 because  that is isosceles triangular.

Using the normal distribution and the central limit theorem, it is found that there is a 0.0571 = 5.71% probability of selecting a sample  of 40 two-bedroom apartments and finding the mean to be at least $275 per month.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The probability of selecting a sample  of 40 two-bedroom apartments and finding the mean to be at least $275 per month is the p-value of Z when X = 275, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{275 - 250}{\frac{100}{\sqrt{40}}}[/tex]

[tex]Z = 1.58[/tex]

[tex]Z = 1.58[/tex] has a p-value of 0.9429.

1 - 0.9429 = 0.0571

0.0571 = 5.71% probability of selecting a sample  of 40 two-bedroom apartments and finding the mean to be at least $275 per month.

You can learn more about the normal distribution and the central limit theorem at https://brainly.com/question/24663213

Answer:

I believe 1000

Step-by-step explanation:

Answer: 245 miles

Step-by-step explanation:

(70)(3.5)= 245

Answer:

2(x + 3) <9

Step-by-step explanation:

Two times the quantity of a number increased by 3 is less than 9

       2  ·                                          (x + 3   )                           < 9    

     = 2(x + 3) <9

9Linear splines

The linear spline represents a set of line segments between the two adjacent data points (Vk,Ik) and (Vk+1,Ik+1). ... The linear spline is constructed for each interval V = [Vk,Vk+1] independently and it matches the data values (Vk,Ik) for k=0,1,...,n.

Answer:

1031.70833333

Step-by-step explanation: