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Anarel [89]
2 years ago
5

Help me with this Promble

Mathematics
1 answer:
Alex73 [517]2 years ago
8 0
5: 11.97
6: 4.1
7: 14.484
8: 12.34
Hope this helps!

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How do u determine the equation of the line through each pair of points in slope-intercept form (y=mx+b). (3,0) and (2,4) (-6,3)
steposvetlana [31]

Answer:

Y =-4X +12

Y =-0.625X  -0.75

Step-by-step explanation:

(3,0) and (2,4)....

x1 y1  x2 y2

3 0  2 4

   

(Y2-Y1) (4)-(0)=   4  ΔY 4

(X2-X1) (2)-(3)=    -1  ΔX -1

   

slope= -4          

B= 12          

   

Y =-4X +12    

~~~~~~~~~~~~~~~~~

(-6,3) and (2,-2)​

x1 y1  x2 y2

-6 3  2 -2

   

(Y2-Y1) (-2)-(3)=   -5  ΔY -5

(X2-X1) (2)-(-6)=    8  ΔX 8

   

slope= -  5/8    

B= -  3/4    

   

Y =-0.625X  -0.75    

6 0
3 years ago
If the sum of 4040 consecutive integer numbers is 2020, find out the absolute difference between the first number and the last n
bearhunter [10]

Let x be the smallest of the consecutive integers summing to 2020. Then the largest integer in the sum is x+4039, so our answer is \boxed{4039}.

For completeness, though, let's solve for the value of x that satisfies the conditions of the problem. Recall that the sum of an arithmetic series with first term a_1, last term a_n, and n terms, is \frac{n(a_1+a_n)}{2}. Plugging in our known values gives us the equation \frac{4040(2x+4039)}{2}=2020, which simplifies to 2x+4039=1. Thus, x=-2019, so the 4040 consecutive integers are -2019,-2018,\dots,-1,0,1,\dots,2018,2019,2020. Notice how everything except the 2020 cancels out!

4 0
3 years ago
It took the race car 22 minutes to travel 114.4 kilometers. At what rate did the car travel? Use the formula r=d/t where r is th
Svet_ta [14]

Answer:

5.2 Km/Min

Step-by-step explanation:

Speed/Rate= Distance/Time

Speed/Rate = 114.4/22

Speed/Rate = 5.2 KM/min

4 0
3 years ago
Read 2 more answers
Find the difference quotient and simplify your answer. f(x) = 4x − x2, f(4 + h) − f(4) h , h ≠ 0
Anon25 [30]

The difference quotient and simplification will be    = [4 -h-2x]

The given equation is as follows:   f(x)= 4x - x²

For finding the quotient and further simplification we must follow the following steps:

[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h

<h3>What is simplification of algebraic operations?</h3>

Getting the functions in their lowest terms is known as simplification.

Brackets will get open and solved further;

[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h

[f(x + h) - f(x)] / h = [4h - h² - 2x]/ h  

Finally dividing the whole equation with h;

                                = [4 - h - 2x] 

Learn more about algebraic operations,

brainly.com/question/12485460

# SPJ1

7 0
1 year ago
How do I solve x(3x-17)=0 using the square root property
scZoUnD [109]

Answer:

x = 0 or x = \frac{17}{3}

Step-by-step explanation:

We have the quadratic equation of variable x and we have to solve the equation using the square root property.

Now, we have x(3x - 17) = 0

⇒ 3x² - 17x = 0

⇒ 3(x^{2}  - \frac{17}{3}x ) = 0

⇒ x^{2} - 2 \times (\frac{17}{6}) \times x + (\frac{17}{6} )^{2} = (\frac{17}{6} )^{2}

⇒ (x - \frac{17}{6})^{2} = (\frac{17}{6} )^{2}

Now,square rooting both sides we get,  

x - \frac{17}{6} = \pm\frac{17}{6}

Therefore, either x = 0 or x = \frac{17}{3} (Answer)

8 0
2 years ago
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