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zheka24 [161]
3 years ago
10

Can anyone share the process please? ​

Mathematics
1 answer:
gtnhenbr [62]3 years ago
4 0

Answer:

3x³ + x² + x + 1

= 3x³ - 3x² + 4x² - 4x + 5x - 5 + 6

= 3x²(x - 1) + 4x(x - 1) + 5(x - 1) + 6

= (x - 1)(3x² + 4x + 5) + 6

but 3x³ + x² + x + 1 = (x - 1).Q(x) + R

=> Q(x) = 3x² + 4x + 5

R = 6

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Determine the range of the function.
Naya [18.7K]

Answer:

Solution: f(x)\ge-5\\Interval:[-5,\infty)

Step-by-step explanation:

Equation: \frac{1}{4} x^2-5 = y

1). \frac{1}{4} x^2-5 = y →\frac{x^2}{4}-5=y

2). \frac{x^2}{4}-5=y ∴ a=\frac{1}{4}, b=0, c=-5

3). x_v=-\frac{b}{2a}

         =-\frac{0}{2(\frac{1}{4})}

         =0

4). now plug x_v into y_v

y_v=\frac{0^2}{4}-5

    =-5

5). Minimum (0,-5) ∴ f(x)\ge-5

4 0
3 years ago
What value of x makes this proportion true? 36/48 = x/24
ruslelena [56]

Answer:

18

Step-by-step explanation:

18/24 is a 1/2 reduction from 36/48.

3/4 is simplest form.

8 0
2 years ago
The projectile motion of an object can be modeled using s(t)=gt^2+v0t+s0, where g is the acceleration due to gravity, t is the t
RSB [31]

Answer:

S(t) = -4.9t^2 + Vot + 282.24

Step-by-step explanation:

Since the rocket is launched from the ground, So = 0 and S(t) = 0

Using s(t)=gt^2+v0t+s0 to get time t

Where g acceleration due to gravity = -4.9m/s^2. and

initial velocity = 39.2 m/a

0 = -4.9t2 + 39.2t

4.9t = 39.2

t = 8s

Substitute t in the model equation

S(t) = -49(8^2) + 3.92(8) + So

Let S(t) =0

0 = - 313.6 + 31.36 + So

So = 282.24m

The equation that can be used to model the height of the rocket after t seconds will be:

S(t) = -4.9t^2 + Vot + 282.24

7 0
3 years ago
Read 2 more answers
Which of the following expressions is equivalent to -9?
FromTheMoon [43]

B because there is only one negative and -63 divided by 7 equals -9. If it were -7 divided by 63 that would give you an answer in decimal form.

6 0
3 years ago
BEST ANSWER GETS BRAINLIEST!! PLEASE HELP
Makovka662 [10]
To find the mean, you add all the elements together, then divide by the number of elements. 

Like this:

(45+48+49+40+53)/5=47

in other words the correct answer is 47 inches. 

EDIT: Did the foolish mistake, of using the wrong numbers the first time. Fixed now and the answer is correct.
7 0
3 years ago
Read 2 more answers
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