Please answer the question in the picture

Mathematics

1 answer:

rosijanka [135]2 years ago

3 0

answer:

(5x-1)(x-3)

explanation:

→ 5x² - 16x +3

→ 5x² -15x - x +3

→ 5x(x-3)-1(x-3)

→ (5x-1)(x-3)

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. If the radius is doubled and the height is halved what is the ratio of the new volume to the original volume

photoshop1234 [79]

Answer: Ratio of new volume to original volume is 2:1.

Step-by-step explanation:

Let the radius of cylinder be 'r'

Let the height of cylinder be 'h'

Original volume of cylinder will be

$V=\pi r^2h$

If radius get doubled,

New radius be '2r'

If height get halved,

New height be will be

$\frac{h}{2}$

so, Volume of cylinder becomes

$Volume=\pi (2r)^2\times \frac{h}{2}=\pi \times 4r^2\times \frac{h}{2}\\\\Volume=2\pi r^2h$

Ratio of new volume to the original volume is given by

$2\pi r^2h:\pi r^2h\\\\2:1$

Hence, Ratio of new volume to original volume is 2:1.

8 0

3 years ago

Product is a 12 ounce bottle of generic mouthwash that sells $4.39 product B is a 24 ounce bottle of mouthwash that cost $2.79 w

Anna35 [415]

Hi there,
To compare we can look at the amount of (ounces)
A: 12 B:24
so as it appears B wins this part
Now price
A: $ 4.39 B:$2.79
A is relatively expensive than B
B is cheaper with more ounces
A is less ounces and relatively expensive
which one would you buy?

5 0

3 years ago

the profit for a taco truck business follows this function, where x is the price of a taco(in dollars) and y is the daily profit

Sati [7]

Answer:

x = √2 + 2, -√2 + 2

Step-by-step explanation:

y = -2(x-2)² + 4

-2(x-2)² + 4 = 0 --- replace y with 0

-2(x - 2)² = -4 --- subtract 4 from both sides

(x - 2)² = $\frac{-4}{-2}$ --- divide both sides by -2