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antoniya [11.8K]

2 years ago

6

Allyson has 60 purple buttons, 36 black buttons, and 24 green buttons. She wants to put all of the buttons in bins. She wants ea

ch bin to have only one color and all bins to have the same number of buttons. How many buttons can Allyson put in one bin?

1 answer:

Romashka [77]2 years ago

3 0

30 ............zzzzzzzzzz

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The point (3, 6) is on the graph of y= 5f(2(x+3))-4 . Find the original point on the graph of y=f(x).

Sonja [21]

Answer:

<em>(12, 2)</em> is the original point on the graph of $y=f(x)$ .

Step-by-step explanation:

<u>Given:</u>

$y= 5f(2(x+3))-4$ has a point <em>(3, 6)</em> on its graph.

<u>To find:</u>

Original point on graph $y=f(x)$ = ?.

<u>Solution:</u>

We are given that The point (3, 6) is on the graph of $y= 5f(2(x+3))-4$

If we put x = 3 and y = 6 in $y= 5f(2(x+3))-4$ , it will satisfy the equation.

Let us the put the values and observe:

$6= 5f(2(3+3))-4\\\Rightarrow 6= 5f(2(6))-4\\\Rightarrow 6= 5f(12)-4\\\Rightarrow 6+4=5f(12)\\\Rightarrow 5f(12)= 6+4\\\Rightarrow 5f(12)= 10\\\Rightarrow f(12)= \dfrac{10}{5}\\\Rightarrow f(12)= 2\\OR\\\Rightarrow 2=f(12)$

Now, let us compare the above with the following:

$y=f(x)$

we get y = 2 and x = 12

So, the original point on graph of $y=f(x)$ is <em>(12, 2).</em>

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Pls Help. What are the coordinates of the y-intercept of the graph?

sergey [27]

Answer:

0, 3

Step-by-step explanation:

it intersects the y at 0,3

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2 years ago

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If the rate of inflation is 3.9% per year, the future price p(t) (in dollars) of a certain item can be modeled by the following

KonstantinChe [14]

The current price of the item is $2500 and the price 10 years from today is $3665. 2.

Given exponential function

p(t) = 2500 × (1.039)^t

where t is the number of years from today.

Rate of inflation is 3.9% per year

The computation of the current price of the item and the price 10 years from today is shown below:-

p(t) = 2500 × (1.039)^t

Now, the current price can be found by putting t = 0

p(0) is

p(0) = $2500 \times (1.039)^{0}$

= 2500

The price 10 years from today can be found by putting t = 10

p(10) is

p(10) = $2500 \times (1.039)^{10}$

= 2500 × 1.466

= 3,665.181

Rounding to nearest dollar

= $3665. 2

The current price of the item is $2500 and the price 10 years from today is $3665. 2.

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1 year ago

I will give these ponts for free if u answer 100+100x100. (help me get brnliest)

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In the beginning operations are performed with multiplication,,,so
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2 years ago

Which function is a quadratic function? u(x) = –x 3x2 – 8 v(x) = 2x2 8x3 9x y(x) = x2 3x5 4 z(x) = 7x2 2x3 – 3.

Komok [63]

The function $u(x)=-x+3x^{2} -8$ is a quadratic function due to the highest exponent being 2.

Given functions are:

$u(x)=-x+3x^{2} -8$

$v(x)=2x^{2} +8x^3+9x$

$y(x)=x^{2} +3x^5+4$

$z(x) =7x^{2} +2x^3-3$

<h3>What is a quadratic function?</h3>

A function of the form $f(x)=ax^{2} +bx+c$ with $a\neq 0$ is called a quadratic function means the highest exponent of polynomial should be 2.

Let us check one by one.

$u(x)=-x+3x^{2} -8$

Highest exponent =2

The function is also of form $f(x)=ax^{2} +bx+c$ so u(x) is a quadratic function.

The functions v(x), y(x), and z(x) are having highest exponents as 3,5, and 3 respectively so they are not quadratic functions.

Hence, the function $u(x)=-x+3x^{2} -8$ is a quadratic function due to the highest exponent being 2.

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1 year ago