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3 years ago

The graph of the function

Mathematics

2 answers:

Andrej [43]3 years ago

6 0

Answer:

<h2>D. The function is decreasing for all real values of x where x < 1.5</h2>

Step-by-step explanation:

The graph show a parabola, which is characterized for having decreasing and increasing interval, due to its behaviour.

In addition, decreasing means that while x-values increase, y-values decreases. On the other hand, increasing means that while x-values increase, y-values decrease.

You can observe in the graph that the function decreases, from negative infinite to x=1.5, and increases from x=1.5 to positive infinite. Based, on this deduction, we can say that the right answer is D, because it describes this decreasing behaviour for all x < 1.5, which is complete true.

Anettt [7]3 years ago

4 0

Answer:

D.The function is decreasing for all real values of x where x < 1.5

Step-by-step explanation:

The vertex is at x=1.5, so the function is decreasing on one side of that and increasing on the other. Any answer choice with some number other than 1.5 as the boundary of increasing/decreasing can be ignored.

Of course one descriptor (<em>increasing</em> or <em>decreasing</em>) is not applicable for any interval that includes the point where the slope changes sign.

The function is decreasing for all real values of x where x < 1.5.

You might be interested in

49/6 into a mixed number

mote1985 [20]

49/6 into a mixed number would be 8 1/6. This is because you would see how many times 6 can go into 49. Since 6 times 8= 48, you subtract that from 49. You are left with one. You put the number you multiplied 6 by as the whole number and the leftover one over six. I hope this helps!

4 0

3 years ago

Read 2 more answers

Please help me with this

Tatiana [17]

<h2><u>Given</u> :</h2>

The given equations are :

$\longrightarrow15b + 10g = 8640 \: \: \: \: \: - (1)$

$\longrightarrow b + g = 708 \: \: \: \: \: \: - (2)$

Let's solve for g in equation (2) :

$\longrightarrow b + g = 708$

$\longrightarrow g = 708 - b \: \: \: \: \: - (3)$

now, let's plug value of g from equation (3) into equation (1) :

$\longrightarrow15b + 10g = 8640$

$\longrightarrow15b + 10(708 - b) = 8640$

$\longrightarrow15b - 10b + 7080 = 8640$

$\longrightarrow5b = 1560$

$\longrightarrow b = 312$

plugging value of b in equation (3) :

$\longrightarrow g = 708 - b$

$\longrightarrow g = 708 - 312$

$\longrightarrow g =39 6$

since " g " represents ground seats, number of ground seats :

=》396

And " b " represents balcony seat, therefore it is equal to :

=》312

$\mathrm{ ☠ \: TeeNForeveR \:☠ }$

4 0

3 years ago

What is the value of y if 13/9 = y/18

Maslowich

Answer:

$y=26$

Step-by-step explanation:

1. Swap sides

$\frac{13}{9}=\frac{y}{18}$

Swap sides:

$\frac{y}{18}=\frac{13}{9}$

2. Isolate the y

$\frac{y}{18}=\frac{13}{9}$

Multiply to both sides by 18:

$\frac{y}{18}\cdot 18=\frac{13}{9}\cdot 18$

Group like terms:

$\frac{1}{18}\cdot 18y=\frac{13}{9}\cdot 18$

Simplify the fraction:

$y=\frac{13}{9}\cdot 18$

Multiply the fractions:

$y=\frac{13\cdot 18}{9}$

Simplify the arithmetic:

$y=26$

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Why learn this:

Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?
Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.

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Terms and topics

Linear equations with one unknown

The main application of linear equations is solving problems in which an unknown variable, usually (but not always) x, is dependent on a known constant.

We solve linear equations by isolating the unknown variable on one side of the equation and simplifying the rest of the equation. When simplifying, anything that is done to one side of the equation must also be done to the other.

An equation of:

$ax+b=0$

in which $a$ and $b$ are the constants and $x$ is the unknown variable, is a typical linear equation with one unknown. To solve for $x$ in this example, we would first isolate it by subtracting $b$ from both sides of the equation. We would then divide both sides of the equation by $a$ resulting in an answer of: