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Troyanec [42]
3 years ago
5

Y=2x+4, would both equations have a constant rate of change?

Mathematics
1 answer:
crimeas [40]3 years ago
8 0

Answer:

2.6 is the rate of change

Step-by-step explanation:

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Who’s right? And why?
kvasek [131]

Answer: Raymond is correct

The DJ charges $75 an hour.

=================================================

Explanation:

x = number of hours

y = total cost

The DJ does a 3-hour event for $275. This means one point is (x,y) = (3,275)

Another point is (5,425) because a 5-hour event costs $425.

Let's find the slope of the line through these two points.

(x_1,y_1) = (3,275) \text{ and } (x_2,y_2)  = (5,425)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{425 - 275}{5 - 3}\\\\m = \frac{150}{2}\\\\m = 75\\\\

The slope is 75, meaning that each time y goes up by 75, x goes up by 1.

Flipped around it means each time x goes up by 1, y goes up by 75.

This means each time we add on an extra hour, the cost goes up by $75.

The DJ charges $75 an hour. Raymond is correct.

3 0
2 years ago
AYUDAAAAAAAAA JAJAJA
il63 [147K]

Answer:

5,7,8

Step-by-step explanation:

7 0
3 years ago
(ii) Hence solve the equation 6 sin cos 0+3 cos 0+4 sin0+2=0 in degrees
Phoenix [80]

Answer:

ii)

Step-by-step explanation:

Find the solution in the given attachement

4 0
1 year ago
Quick Computing Company produces
olganol [36]

Answer:

c(x) = 2x^2 + 6x + 25

Completed question;

Quick Computing Company produces calculators. They have found that the cost, c(x), of making x calculators is a quadratic function in terms of x. The company also discovered that it costs $45 to produce 2 calculators, $81 to produce 4 calculators, and $285 to produce 10 calculators. Derive the function c(x).

Step-by-step explanation:

Given that;

the cost, c(x), of making x calculators is a quadratic function in terms of x.

c(x) = ax^2 + bx + c

Substituting the 3 case scenarios given;

it costs $45 to produce 2 calculators,

45 = a(2^2) + b(2) + c

45 = 4a + 2b +c .......1

$81 to produce 4 calculators,

81 = a(4^2) + b(4) + c

81 = 16a + 4b + c .......2

and $285 to produce 10 calculators.

285 = a(10^2) + b(10) + c

285 = 100a + 10b + c .......3

Solving the simultaneous equation;

Subtracting equation 1 from 2, we have;

36 = 12a + 2b ......4

Subtracting equation 1 from 3

240 = 96a + 8b .......5

Multiply equation 4 by 4

144 = 48a + 8b ......6

Subtracting equation 6 from 5, we have;

96 = 48a

a = 96/48

a = 2

Substituting a = 2 into equation 4;

36 = 12(2) + 2b

36 = 24 + 2b

2b = 36-24 = 12

b = 12/2 = 6

b = 6

Substituting a and b into equation 1;

45 = 4(2) + 2(6) +c

45 = 8 + 12 + c

c = 45 - (8+12)

c = 25

Since a = 2 , b = 6 and c = 25, the quadratic equation for c(x) is ;

c(x) = ax^2 + bx + c

c(x) = 2x^2 + 6x + 25

5 0
3 years ago
What are the characteristics of a radical equation?
Luda [366]
<span>What are the characteristics of a radical equation?

Radical equations are those equations where the variable is inside a radical.
For example: √x - 5 = 0 is a radical equation but x -√5 = 0 is not a radical equations.

How is solving radical equations similar to solving linear equations?

You search to isolate the variable, by performing identical operations on both sides of the equation.

Why is it important to check the solutions to a radical equation?

This is important when the index of the root is an even number. For example 2. When you square a square root you force the results to be positive and this may hide the real condition of the original equation.

For example, √x + 5 = 0

=> √x = -5

=>(√x)^2 = (-5)^2

=> x = 25

When you check: √x + 5 =√25 + 5 = 5 + 5 = 10 which is contradictory with the original equation. You have to discard the solution, becasue none real number exists whose square root is negative, which means that √x + 5 = 0 does not have a real solution.


Create your own radical equation. Describe in complete sentences and demonstrate the process in finding its solution(s)

√(3x+1) - 10 = 0

1) isolate the radical: √(3x + 1) = 10

2) Square both sides: [√(3x + 1)]^2 = 10^2

=> 3x + 1 = 100
=> 3x  = 99
=> x = 33

3) Check

√[(3(33) + 1] - 10 = √(99 + 1) - 10 = √100 - 10 = 10 - 10 = 0

Then the solution is correct

</span>
4 0
3 years ago
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