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3 years ago

Evaluate the polynomial function when H=3 f(h)=4h^3-3h^2+5h-16

Mathematics

1 answer:

tester [92]3 years ago

8 0

Answer:

Step-by-step explanation:

f(3)=4(3)^3-3(3)^2+5(3)-16

f(3)=4(3*3*3)-3(3*3)+15-16

f(3)=4(27)-3(9)+15-16

f(3)=108-27+15-16

f(3)=81+15-16

f(3)=96-16

f(3)=80

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Step-by-step explanation:

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3 years ago

1/3(y - 2) -5/6 (y + 1) =3/4 (y - 3) - 2

Nataly [62]

Answer:

$y=\frac{11}{5}$

Step-by-step explanation:

Given expression

$\frac{1}{3}(y-2)-\frac{5}{6}(y+1)=\frac{3}{4}(y-3)-2$

To solve for $y$ for the given expression.

Solution:

We multiply each term with the least common multiple of the denominators of the fraction in order to remove fractions.

The multiples of the denominators are:

3 = 3,6,9,12,15

6 = 6,12

4 = 4,8,12

The least common multiple = 12.

Multiplying each term with 12.

$12.\frac{1}{3}(y-2)-12.\frac{5}{6}(y+1)=12.\frac{3}{4}(y-3)-2(12)$

$4(y-2)-10(y+1)=9(y-3)-24$

Using distribution.

$4y-8-10y-10=9y-27-24$

Simplifying.

$-6y-18=9y-51$

Adding $6y$ both sides.

$-6y+6y-18=9y+6y-51$

$-18=15y-51$

Adding 51 both sides.

$-18+51=15y-51+51$

$33=15y$

Dividing both sides by 15.

$\frac{33}{15}=\frac{15y}{15}$

$\frac{33}{15}=y$

Simplifying fractions.

$\frac{11}{5}=y$

∴ $y=\frac{11}{5}$ (Answer)

7 0

3 years ago

Determine the type and number of solutions of 4x^2-5x+1=0.

Arlecino [84]

4x² - 5x + 1 = 0
a = 4; b = - 5, c = 1
Δ = b² - 4.a.c
Δ = (-5)² - 4.4.1
Δ = 25 - 16
Δ = 9

x = - b ± √Δ / 2.a
$x = \frac{-5\± \sqrt{9} }{2*4}$
$x = \frac{-5\±3}{8}$
$x' = \frac{-5-3}{8} = \frac{-8}{8} = -1$
$x' = \frac{-5+3}{8} = \frac{-2}{8} (\div2) = \frac{-1}{4}$

A. Two real solutions (x' = -1 and x'' = -1/4)

4 0

3 years ago

How do I find the answers

jasenka [17]

Answer:

3. They're adding by 5 so,

Step-by-step explanation:

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4 years ago