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3 years ago

6

Eight more than twice a number is less than twenty (what is the expression)

1 answer:

blsea [12.9K]3 years ago

4 0

eight more than twice a number is less than twenty (what is the expression)

2x+8 <20

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the function f(x)=4 (2)^x represents the number of people who share a cat video x hours after it first appears on a wedsite. how

Gennadij [26K]

Answer:

$\boxed{\text{It doubles}}$

Step-by-step explanation:

$f(x)=4(2)^{x}$

Let's create a table of the values.

$\begin{array}{lr}\mathbf{x} & \mathbf{f(x)} \\0 & 4 \\1 & 8 \\2 & 16 \\3 & 32 \\4 & 64 \\5 & 128 \\\end{array}\\\text{The number of people sharing the video $\boxed{\textbf{doubles}}$ every hour}$

4 0

3 years ago

Write a rational expression with denominator (x - 3)(x + 2) that is equivalent to 3x-1/x+2

N76 [4]

Answer:

(x-3)(3x-1)/((x-3)(x+2))

Step-by-step explanation:

An equivalent fraction is formed by multiplying or dividing numerator and denominator by the same factor.

__

To get the desired denominator, the given denominator must be multiplied by (x-3). To get the desired numerator of the equivalent fraction, the numerator must also be multiplied by (x-3).

$\dfrac{3x-1}{x+2}=\boxed{\dfrac{(x-3)(3x-1)}{(x-3)(x+2)}=\dfrac{3x^2-10x+3}{x^2-x-6}}$

6 0

2 years ago

A board 91 cm long is to be cut into two parts so that the longer part is 10 cm more than twice as long as the shorter part. Fin

mojhsa [17]

Answer:

The parts are 27 cm and 64 cm long.

Step-by-step explanation:

Let the shorter part be x.

"The longer part is 10 cm more than twice as long as the shorter part."

shorter part: x

longer part: 2x + 10

total length: x + 2x + 10

total length: 91

x + 2x + 10 = 91

3x + 10 = 91

3x = 81

x = 27

2x + 10 = 2(27) + 10 = 54 + 10 = 64

Answer: The parts are 27 cm and 64 cm long.

7 0

3 years ago

The table shows a proportional relationship between the number of pounds of bananas purchased and the total cost of bananas.

Liula [17]

Answer:

Choice A, C and E

Step-by-step explanation:

<em>Your table is poorly presented</em>

Given

x y

$\begin{array}{cc} {3} & {1.47} \ \\ {5} & {2.45} \ \\ {9} & {4.41} \ \ \end{array}$

First, we calculate the constant of proportionality (k)

$k = \frac{y}{x}$

For (3,1.47)

$k = \frac{1.47}{3}$

$k = 0.49$

For (5,2.45)

$k = \frac{2.45}{5}$

$k = 0.49$

For (9,4.41)

$k = \frac{4.41}{9}$

$k = 0.49$

From the above calculations, the constant of proportionality is 0.49.

So, the usable rows must also have 0.49 as their constant of proportionality

<u>Choice A</u>

$(x,y) = (2,0.98)$

$k = \frac{0.98}{2}$

$k = 0.49$ --- <em>This is usable</em>

<em />

<u>Choice B</u>

$(x,y) = (7,4.45)$

$k = \frac{4.45}{7}$

$k = 0.64$ --- <em>This is not usable</em>

<em />

<u>Choice C</u>

$(x,y) = (6,2.94)$

$k = \frac{2.94}{6}$

$k = 0.49$ --- <em>This is usable</em>

<em />

<u>Choice D</u>

$(x,y) = (1,0.54)$

$k = \frac{0.54}{1}$

$k = 0.54$ ---- <em>This is not usable</em>

<em />

<u>Choice E</u>

$(x,y) = (8,3.92)$

$k = \frac{3.92}{8}$

$k = 0.49$ --- <em>This is usable</em>

5 0

3 years ago

add 5 ro fourteen then mutiply the sum by 6. subtract 12 from the product divide the difference by 2, divide the quotient by 3.

zalisa [80]

[6(5+14)-12]/2/3= 17
[6(19)-12]/2/3=17
[114-12]/2/3=17
[102]/2/3=17
51/3=17
The answer to the problem you proposed is 17

8 0

4 years ago