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3 years ago

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The sum of two numbers is no more than 28. Let x represent the first number, and let y represent the second number. Which

1 answer:

Ira Lisetskai [31]3 years ago

3 0

Answer:

Step-by-step explanation:

Let x the 1st and y the 2nd number. So the sum.of x and y means x+y is no more 28. That means is less than 28

So x+y<=28 or x+y<28.

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The population of bacteria in a certain culture can be modeled by the function P(t)=10000(1.03)^t. Is the population of bacteria

ch4aika [34]

Answer:

The population of bacteria is increasing.

Step-by-step explanation:

The function modelling the population of bacteria in the given culture is an exponential function; We have a base 1.03 and an exponent t. An exponential function is said to be increasing if the base is strictly greater than 1, this implies that the population of the bacteria is increasing as t increases from 0 to infinity.

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2 years ago

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mia hired a moving company, it charged 500$ for service mia give them a 16% tip.How much did she tip the movers.

Novosadov [1.4K]

Answer:

$80

Step-by-step explanation:

First you take 500 and multiply by 16% or .16.

You should get 80.

A tip for the future is when you have a percentage just move the decimal place to the left twice.

ie. 50%=.50, 125%=1.25, 2%=.02

I hope this helps :)

6 0

2 years ago

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Someone explain this to me

e-lub [12.9K]

Answer: a) y = f(x - 6)

b) y = f(x) - 2

<u>Step-by-step explanation:</u>

For transformations we use the following formula: y = a f(x - h) + k

a = vertical stretch
h = horizontal shift (positive = right, negative = left)
k = vertical stretch (positive = up, negative = down)

a) f(x) has a vertex at (-1, 1)

M has a vertex at (5, 1)

The vertex shifted 6 units to the right → h = +6

Input h = +6 into the equation and disregard "a" and "k" since those didn't change. ⇒ y = f(x - 6)

b) f(x) has a vertex at (-1, 1)

N has a vertex at (-1, -1)

The vertex shifted down 2 units → k = -2

Input k = -2 into the equation and disregard "a" and "h" since those didn't change. ⇒ y = f(x) - 2

7 0

3 years ago

The total length of pencils A, B and C is 29 cm. Pencil a is 11 cm shorter then pencil B, and pencil B is twice as long a pencil

satela [25.4K]

The length of pencil A is 5 cm

<em><u>Solution:</u></em>

Let the length of pencil A be "x"

Let the length of pencil B be "y"

Let the length of pencil C be "z"

<em><u>The total length of pencils A, B and C is 29 cm</u></em>

Therefore,

length of pencil A + length of pencil B + length of pencil C = 29

x + y + z = 29 ------------ eqn 1

<em><u>Pencil A is 11 cm shorter then pencil B</u></em>

x = y - 11 ------- eqn 2

<em><u>Pencil B is twice as long a pencil C</u></em>

y = 2z

$z = \frac{y}{2}$ ------ eqn 3

<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>

$y - 11 + y + \frac{y}{2} = 29\\\\2y + \frac{y}{2} = 29 + 11\\\\\frac{4y+y}{2} = 40\\\\5y = 80\\\\y = 16$

<em><u>Substitute y = 16 in eqn 2</u></em>

x = 16 - 11

x = 5

Thus length of pencil A is 5 cm

5 0

3 years ago

lidiya [134]

Answer:

x = 1/4

Step-by-step explanation:

<u>Calculations:</u>

$7(x-3)+3(4-x)=-8$

$7x-21+12-3x=-8$

$4x-9=-8$

$4x=1$

$x=\frac{1}{4}$

7 0

2 years ago