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Gnesinka [82]
3 years ago
15

Erik used the Factor Theorem to find the remainder of 2x3-4x2-28x+6 divided by x+3. If he calculated the remainder to be 0, what

does that tell him?
Mathematics
1 answer:
Annette [7]3 years ago
4 0

Step-by-step explanation:

x + 3 = 0

x = - 3

f(x) = 2x³ - 4x² - 28x + 6

f(- 3) = 2(- 3)³ - 4(- 3)² - 28 x (- 3) + 6

= 2 x (- 27) - (4 x 9) + 84 + 6

= - 54 - 36 + 90

= - 90 + 90

= 0

Therefore,

x + 3 is factor of 2x³ - 4x² - 28x + 6

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3 years ago
State the equation of the following graphs.<br> Someone please help ASAP
Vaselesa [24]
Answer

y = 1(x +1) - 3

Explanation

A quadratic equation of the form y = ax^2 + bx + c

This written in complete the square form provides you with the vertex (either a maximum or minimum point depending on the equation).

This results in y = a(x + p) + q

Where - p is the x value and q is the y value of turning point.

For graph 22, x = -1 and y = -3

Therefore, the equation is of the form

y = a(x + 1) - 3 (*)

We still need the value a, this can be obtained by using the y-intercept we are given.

We are told x = 0 when y = -2

Substitute this in (*) equation:

-2 = a(0+1) - 3

-2 = a - 3

a = 1

Therefore final equation is

y = 1(x +1) - 3

This should provide you with the train of thought of how the second question should also be tackled.

If unsure about why the equation
y = a(x + p) + q gives the vertex ask in comments I will respond
4 0
3 years ago
In what rate of interest Rs 4000 amount to Rs 6000 in 2year​
PIT_PIT [208]

Principal = Rs 4000

Amount = Rs 6000

Time = 2 years

Rate = ?

Amount = principal + simple interest

Rs 6000 = Rs 4000 + simple interest

simple interest = Rs 6000 - Rs 4000 = Rs 2000

Simple interest = P*R*T/100

Rs 2000 = Rs 4000* R*2/100

R = 100/4 = 25%

8 0
3 years ago
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