All categories

3 years ago

If 2x – 1 is a factor of 16x4 24x3 + 2x + f, find f.

Mathematics

1 answer:

Nastasia [14]3 years ago

7 0

Answer:

f = -5

Step-by-step explanation:

If 2x – 1 is a factor of 16x4 + 24x3 + 2x + f, find f.

If 2x - 1 = 16x⁴ + 24x³ + 2x + f, find f.

2x - 1 = 0

2x = 1

x = 1/2

Hence

f(1/2) = 16(1/2)⁴ + 24(1/2)³ + 2(1/2) + f

= 16(1/16) + 24(1/8) + 1 + f

= 1 + 3 + 1 + f

= 5+ f

f = -5

You might be interested in

. A tree casts a shadow that is 10 metres long. If the angle of elevation to the top of the tree from the ground at the end of t

Ghella [55]

Answer:

Tree = 17.32 m

Step-by-step explanation:

6 0

3 years ago

A catering service offers 4 appetizers, 9 main courses, and 7 desserts. A customer is to select 3 appetizers, 2 main courses, an

never [62]

Answer:

In 5040 ways.

Step-by-step explanation:

To solve this problem we will use combination without repetition which means:

C ( n k) = (n₁ k₁) (n₂ k₂) (n₃ k₃) = (4 3) (9 2) (7 3) =

(4 · 3 · 2 / 3 · 2 · 1) (9 · 8 / 2 · 1) (7 · 6 · 5 / 3 · 2 · 1) = 4 · 36 · 35 = 5040

It can be done in 5040 ways.

God with you!!!

6 0

3 years ago

4 ice cream cones cost $6. At this rate, how much do 7 ice cream cones cost?

satela [25.4K]

Answer:

$42

Step-by-step explanation:

Equation: y = 6x

x = number of ice cream cones

y = 6(7) = 42

5 0

3 years ago

Read 2 more answers

Help!!!! How do u do #13

alisha [4.7K]

The answer is 288cm

Hope this helps!

7 0

3 years ago

Read 2 more answers

Jenna mixed two shades of purple paint. For Purple People Eater, she used 3 pints of red paint for every 5 pints of blue paint.

emmasim [6.3K]

Answer:

$\frac{12}{35}$

Step-by-step explanation:

Given :

→ For Purple People Eater, she used 3 pints of red paint for every 5 pints of blue paint.

i.e, The ratio of red paint to blue paint is 3:5

→ For Purple Majesty, she used a blue to red paint ratio of 7 to 4.

i.e, The ratio of red paint to blue paint is 4:7

To find :

1) Compare the ratios of red paint to blue paint.

$\frac{3}{5}\times \frac{4}{7}=\frac{12}{35}$

2) The ratio for Purple People Eater can be expressed in fraction form as :

$=\frac{3}{5}$

3) The ratio for Purple Majesty can be expressed in fraction form as :

$=\frac{7}{4}$

4) To compare these fractions, rewrite them with a common denominator

For common denominator

Multiply numerator and denominator by 4 in $\frac{3}{5}$

$\Rightarrow\frac{3\times 4}{5\times4}=\frac{12}{20}$

Multiply numerator and denominator by 5 in $\frac{7}{4}$

$\Rightarrow\frac{7\times 5}{5\times4}=\frac{35}{20}$

Common denominator is 20

6 0

3 years ago

Read 2 more answers