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jasenka [17]
3 years ago
12

Verify whether the indicated numbers are zeroes of their corresponding polynomials.

Mathematics
1 answer:
aleksley [76]3 years ago
3 0

Answer:

  • No, incorrect

Step-by-step explanation:

<u>Given</u>

  • Q(s) = -4s^3 + 7s^2 - 24;
  • s = -4 and 1

<u>Verifying zeroes</u>

Q(-4) =

  • -4(-4)^3 + 7(-4)^2 - 24 =
  • 256 + 112 - 24 =
  • 344
  • Incorrect as 344 ≠ 0

Q(1) =

  • -4(1)^3 + 7(1)^2 - 24 =
  • -12 + 7 - 24 =
  • -29
  • Incorrect as -29 ≠ 0

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(u) Hansi and Megan go on holiday.
Vikki [24]

Answer:

a) $432

b) (i) $8970

Step-by-step explanation:

Given that:

Ratio of Cost of Hansi and Megan is 7 : 4.

Hansi's holidays cost = $756

Hansi's earnings in 2008 = $7800

In 2009, there are 15% more earnings than in 2008.

To find:

Cost of Megan's holiday.

Earnings in 2009 ?

Solution:

As per given question statement,

Let the holiday cost of Hansi = 7x

Let the holiday cost of Megan = 4x

As per question statement:

7x=756\\\Rightarrow x = \$108

We have to find the value of 4x now.

4x = 4\times 108 = \bold{\$432}

b)(i)

Earnings in 2009:

$7800 + 15% of $7800

\Rightarrow 7800 +\dfrac{15}{100}\times 7800\\\Rightarrow 7800 + 1170\\\Rightarrow \$8970

8 0
3 years ago
If sin(6m-8) = cos (2m), find the value of m.
Gala2k [10]
   
We believe that the angles are in quadrant 1.

<span>sin(6m-8) = cos (2m)

</span>⇒  6m-8 = 90 - 2m
<span>
6m + 2m = 90 + 8

8m = 98

m = 98 / 8 = 12.25



</span>
4 0
3 years ago
Given f(x) = 7xº, find f^-1 (x). Then state whether f^-1(x) is a function.
Slav-nsk [51]

Answer:

a) (x/7)^1/9=y

Step-by-step explanation:

f(x) = 7x^9

x/7= 7y^9/7

(x/7)^1/9=(y^9)^1/9

(x/7)^1/9=y

f^-1(x) is a fuction because it passes the vl test

6 0
2 years ago
Simplify the linear expressions:<br>1: 2x + 3 - 5x + 7<br>2: 3y - 15 - 7y + 19
SIZIF [17.4K]
1. -3x +10
2. -4y + 4

8 0
3 years ago
A particular algebra text has a total of 1382 pages which is broken into two parts the second part of the book has 64 more pages
AlladinOne [14]

Answer:

the first part of the book has 659 pages and the second part has 723 pages

Step-by-step explanation:

First we have to raise 2 equations, one that shows us the relationship between one part of the book and the other, and another equation that shows us that together they give us the total of pages

x = second part

y = first part

x = y + 64

x + y = 1382

As the first equation tells us that x = y + 64 we will replace x in the second equation with (y + 64)

x + y = 1382

(y + 64) + y = 1382

y + y = 1382 - 64

2y = 1318

y = 1318/2

y = 659

now we replace in the first equation to y by its value

x = y + 64

x = 659 + 64

x = 723

so the first part of the book has 659 pages and the second part has 723

7 0
3 years ago
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