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Svetlanka [38]
3 years ago
11

Can someone help me with this

Mathematics
2 answers:
rjkz [21]3 years ago
6 0

Answer: 270 and on the Second page is 50

Step-by-step explanation:I think that’s correct

Genrish500 [490]3 years ago
3 0

Answer:

270

Step-by-step explanation:

that is 90% of 300

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Vedmedyk [2.9K]

i) The given function is

f(x)=\frac{x-5}{2x^2-5x-3}

The factored form is

f(x)=\frac{x-5}{(x-3)(2x+1)}

The domain are the values of  x for which the function is defined.

(x-3)(2x+1)\ne 0

(x-3)\ne0,(2x+1)\ne 0

x\ne3,x\ne-\frac{1}{2}

ii) To find the vertical asymptotes, equate the denominator to zero.

(x-3)(2x+1)=0

(x-3)=\ne0,(2x+1)=0

x=3,x=-\frac{1}{2}

iii) To find the roots, equate the numerator to zero.

x-5=0

The root is x=5

iv) To find the y-intercept, put x=0 into the function.

f(0)=\frac{0-5}{(0-3)(2(0)+1)}

f(0)=\frac{-5}{(-3)(1)}

f(0)=\frac{5}{3}

The y-intercept is \frac{5}{3}

v) The horizontal asymptote is given by;

lim_{x\to \infty}\frac{x-5}{2x^2-5x-3}=0

The horizontal asymptote is y=0

vi) The function is not reducible. There are no holes.

vii) The given function is a proper rational function.

Proper rational functions do not have oblique asymptotes.

3 0
3 years ago
Read 2 more answers
find the values os a and b so that the polynomial x3+10x2+ax+b is exactly divisible by (x-1) and (x+2)
ad-work [718]

Answer:

a = 7 and b = - 18

Step-by-step explanation:

If (x - 1) is a factor of f(x) then x = 1 is a root and f(1) = 0, thus

f(1) = 1³ + 10(1)² + a + b = 0 and

1 + 10 + a + b = 0 ⇒ a + b = - 11 → (1)

Similarly if

(x + 2) is a factor then x = - 2 is a root and f(- 2) = 0

f(- 2) = (- 2)³ + 10(- 2)² - 2a + b = 0, thus

- 8 + 40 - 2a + b = 0 ⇒ - 2a + b = - 32 → (2)

Solve (1) and (2) simultaneously

Subtract (1) from (2)

- 3a = - 21 ( divide both sides by 3)

a = 7

Substitute a = 7 in (1)

7 + b = - 11 ⇒ b = - 11 - 7 = - 18

The required polynomial is

f(x) = x³ + 10x² + 7x - 18

   

8 0
3 years ago
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