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coldgirl [10]
3 years ago
5

How do I find the average rate of change?​

Mathematics
2 answers:
GuDViN [60]3 years ago
6 0

Answer:

To find the average rate of change, we divide the change in the output value by the change in the input value.

musickatia [10]3 years ago
4 0

Answer:

Step-by-step explanation:

Average rate of change is just using the slope formula: (y2-y1)/(x2-x1).

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The data shows the survey results of 75 randomly selected students.
Kryger [21]

Answer:

D

Step-by-step explanation:

The answer is d

3 0
3 years ago
Can someone help me with #19
zlopas [31]

Answer:

XZ,X(-10,9)

Y(-4,8)

is

X2,YZ(14-1)=12

8 0
3 years ago
What is the equation of the line that passes through the point (8, -4) and<br> has a slope of 1/2
Eva8 [605]

Answer:

y = \frac{1}{2}x - 8

Step-by-step explanation:

1. Approach,

For this problem, the format of a line that will be used is, slope-intercept form;

y = mx + b

Where (m) is the slope of the line, also known as the change in the line and (b) is the y-intercept, or where the graph of the line intersects the y-axis. Since, in this problem, the slope of the line is given, all one has to do is substitute in a point on the given line and solve.

2. Finding the equation,

In this problem, the slope of the line is given. Therefore, to solve this problem, all one has to do is substitute in a point on the given line and solve.

y = mx + b

Substitute in the slope,

y = \frac{1}{2}x + b

Substitute in the point,

-4 = \frac{1}{2}(8) + b

Simplify,

-4 = 4 + b

Inverse operations,

-4 = 4 + b\\-4\\\\-8 = b

3. Putting it all together,

Now, that one has y-intercept, (-8); use the given slope and the formula y = mx + b,  substitute in all the information.

y = \frac{1}{2}x - 8

7 0
3 years ago
How do i do 3 part a ?
WINSTONCH [101]


In general the binomial expansion is


(a+b)^n = {n \choose 0} a^0 b^n + {n \choose 1} a^1 b^{n-1} + {n \choose 2} a^2 b^{n-2} + ... + {n \choose n} a^n b^0


So in our case, because we want ascending powers of x we'll write,


(-3x + 1)^{11} =  {11 \choose 0} (-3x)^0 1^{11} + {11 \choose 1} (-3x)^{1} 1^{10} + {11 \choose 2} (-3x)^{2} 1^9  + {11 \choose 3 } (-3x)^3 1^8 + ...


We need to calculate the binomial coefficients:


{11 \choose 0}  = 1


{11 \choose 1}  = 11


{11 \choose 2}  = \dfrac{11 \times 10}{2} = 55


{11 \choose 3}  = \dfrac{11 \times 10 \times 9}{3 \times 2} = 165


(-3x+1)^{11} =  1 (-3x)^0 1^{11}  + 11(-3x)^{1} 1^{10}  + 55 (-3x)^2 1^{9}  + 165 (-3x)^3 1^8 + ...


(1-3x)^{11} =  1 -33 x + 495 3x^2 - 4455 x^3+ ...



6 0
3 years ago
Brian invests £1850 into his bank account. He receives 2.7% per year simple interest. How much will Brian have after 3 years? Gi
Rama09 [41]

Answer:

£1999.85

Step-by-step explanation:

A = P(1 + rt)

Where:

A = Amount after t years

P = Initial amount invested = £1850

r = Interest rate = 2.7%

t = Time in years = 3 years

Calculation:

First, converting R percent to r a decimal

r = R/100 = 2.7%/100 = 0.027 per year.

Solving our equation:

A = £1850(1 + (0.027 × 3))

A = £1999.85

Therefore, Brian will have £1999.85 after 3 years.

3 0
3 years ago
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