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Art [367]
2 years ago
5

5

Mathematics
1 answer:
olasank [31]2 years ago
7 0

The quadratic function that passes through the point  (0,6), (3,15.8), and (9.5,0) is y = -0.6x² + 5.07x + 6

<h3>How to determine the quadratic function?</h3>

The points are given as:

(0,6), (3,15.8), and (9.5,0)

A quadratic function is represented as:

y = ax² + bx + c

Next, we substitute the points in the equation.

a(0)² + b(0) + c = 6

a(3)² + b(3) + c = 15.8

a(9.5)² + b(9.5) + c = 0

Simplify the expressions

c = 6

9a + 3b + c = 15.8

90.25a + 9.5b + c = 0

Solve for a, b and c using a graphing calculator

a = -0.6

b = 5.07

c = 6

Hence, the quadratic function is

y = -0.6x² + 5.07x + 6

Read more about quadratic functions at:

brainly.com/question/1214333

#SPJ1

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Slope -8 and y intercept 7
max2010maxim [7]

Answer:

The equation of Line is  y = - 8x + 7      

Step-by-step explanation:

Given as :

The slop of line is - 8

And The y intercept is 7

As the equation of line is y = mx + c

For y intercept , x = 0

So, With y intercept and slop ,

7 = (-8)× (0)+ c

Or, c = 7

So the equation of line is

y = mx + c

I.e  y = ( - 8 ) x + 7

Hence The equation of Line is  y = - 8x + 7       Answer

8 0
3 years ago
Sections of prefabricated fencing are each 4 1/3 feet long. how long are 6 1/2 sections placed end to end
zalisa [80]

we know that

4\frac{1}{3}= \frac{(4*3+1)}{3} =\frac{13}{3}

6\frac{1}{2}= \frac{(6*2+1)}{2}=\frac{13}{2}

To find how long are 6\frac{1}{2}  sections placed end to end

Multiply the number of sections by the length of one section

so

\frac{13}{2} *\frac{13}{3} =\frac{169}{6}\ ft

\frac{169}{6}\ ft =28\frac{1}{6}\ ft

therefore

<u>the answer is</u>

28\frac{1}{6} \ ft


6 0
3 years ago
Read 2 more answers
Which of the following graphs is the graph of a linear function?
ziro4ka [17]

Answer:

C

Step-by-step explanation:

A and B are not straight lines, so they are not linear functions.

C and D are straight lines, so they are linear. However, D fails the vertical line test, so it is not a function.

3 0
3 years ago
A circle has a diameter of 21 meters. What is the circumference of the circle? Use 22/7 for ∏.
bogdanovich [222]

Answer:

66

Step-by-step explanation:

The diameter of the circle is 21. The formula for circumference is pie*radius*2. We don't have the radius but the diameter is just double the radius so just don't multiply by 2. 21 x 22 = 462. 46s divided by 7 is 66. Enjoy your answer :D

3 0
2 years ago
Linda is twice the age of Vera.
Paladinen [302]

Answer:

Tanya is 20 years old

Step-by-step explanation:

Let the age of Vera = x years

The age of Linda is twice the age of Vera = 2x years

Tanya  is four less than four times the age of Linda = 4(2x)-4 = 8x-4

Total age of Vera, Linda and Tanya is:

x+2x+8x-4

Combine the like terms:

11x-4

But now their total age is two more than nine times the age of Vera:

11x-4 = 9x+2

Solve the expression

Combine the like terms:

11x-9x=2+4

2x=6

Divide both the sides by 2

2x/2 = 6/2

x= 3

Thus the age of Vera is 3 years.

The age of Linda is 2x= 2*3 = 6 years

The age of Tanya is 8x-4 = 8*3 - 4 = 24-4 = 20years....

7 0
3 years ago
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