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butalik [34]
2 years ago
14

The degree of the function f(x) = -(x + 1)2(2x - 3)(x + 2)2 is , and its y-intercept is

Mathematics
1 answer:
Serggg [28]2 years ago
6 0

Answer:

Degree = 5

Y intercept = 12

Step-by-step explanation:

our function is given as

f(x)=-(x+1)^2 \cdot (2x-3) \cdot (x+2)^2

in the above polynomial our variable is x and it is being multiplied for 5 times. Hence the probable degree for the above polynomial is 5

In order to find the y intercept , we need to put x=0 in f(x) as y intercept is the point at which the function graphically meets y axis and where x = 0

Hence

f(0)=-(0+1)^2 \cdot (2(0)-3) \cdot (0+2)^2

f(0)=-(1)^2 \cdot (0-3) \cdot (2)^2

f(0)=-1 \cdot (-3) \cdot 4

f(0)=3 \cdot 4

f(0)=3 \times 4

f(0)=12

Hence the y intercept is 12 units

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Simplify 8(x + 3) - 2x.<br><br>Answer options:<br>A) 6 x + 3<br>B) 7 x<br>C) 6 x + 24​
s344n2d4d5 [400]

Answer:

C

Expand the bracets then simplfy and then factorise

4 0
2 years ago
Read 2 more answers
Please help and thank you. ​
Marina CMI [18]

Answer:

4.

  • 400 ft elevation at 1 km and 3 km from the start
  • 300 ft/km average rate of change over the first 4 km

5.

  • length = 3.5 cm
  • width = 3.5 cm
  • height = 7.0 cm

6.

  • 6 mo: $1018.14
  • 5 yrs: $1196.89
  • avg incr: $3.28 per month

Step-by-step explanation:

<h3>4.</h3>

A graphing calculator is handy for solving problems involving cubic polynomials. You're interested in where the elevation is 400 ft. Since the value of f(x) is in hundreds of feet, you want to find x such that f(x) = 4.

Values of x where that is the case are x=1 and x=3, representing distances of 1 km and 3 km from the start of the road.

The average rate of change of elevation is the difference in elevation divided by the difference in distance from the start:

  average rate of change = (f(4) -f(0) hundred ft)/((4 - 0) km)

  = (19 -7)/4 hundred feet/km

  = 12/4  hundred feet/km = 300 ft/km

___

<h3>5.</h3>

You want to find x when ...

  A(x) = 122.5 cm²

  10x² = 122.5 cm² . . . . substitute the given expression for A(x)

  x² = 12.25 cm² . . . . . . divide by 10

  x = √(12.25 cm²) = 3.5 cm . . . . take the square root

The diagram tells you ...

  length = width = x = 3.5 cm

  height = 2x = 7.0 cm

___

<h3>6.</h3>

Evaluate the given expression for the different values of m:

  $1000·1.003^6 ≈ $1018.14 . . . . 6-month value

  $1000·1.003^60 ≈ $1196.89 . . . . 5-year value

The increase is $1196.89 -1000.00 = $196.89. That increase took place over 60 months, so the average increase per month is ...

  $196.89/(60 mo) ≈ $3.28 per mo . . . . average per month over 5 years

8 0
3 years ago
Please help with this
Aleksandr-060686 [28]

Answer:

A

Step-by-step explanation:

(3x -14) + 9x is 90 degrees, so if you add 90 it becomes 180 degrees

It is 90 degrees because you can see that there is a right angle there

6 0
3 years ago
.<br><br> y = x2 + 3<br> y = x + 5
ddd [48]
I assume you mean x squared in the first equation

Because both are equal to y, they are equal to each other so x + 5 = x^2 +3
If we then move everything over to one side, we get x^2 - x - 2 = 0

Then factorise it to (x-2)(x+1) = 0
And solve both parts separately

x + 1 = 0
x = -1

x-2 = 0
x = 2

Sub both values into the simplest equation in this case y=x+5
to get y = 4 and y = 7
7 0
1 year ago
What would the nearest tenth be to 399?
vodomira [7]
400 would be the answer
6 0
2 years ago
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