What is the domain of the function represented by the graph?

Mathematics

1 answer:

nalin [4]4 years ago

8 0

Answer:

I believe its c

Step-by-step explanation:

The domain of a quadratic function is all real numbers

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How do you do factoring the gcf out of a binomial

iVinArrow [24]

In general: look for what the terms have in common. for example, take the binomial 2x² - 4x. you would be able to factor out a "2" because of the coefficients, and both terms have an "x" -- you can take that out too. that makes your GCF 2x. technically, what you're doing with factoring is dividing the terms by your GCF--2x² divided by 2x leaves you with x, and 4x divided by 2x leaves you with two. that's how you end up with (x - 2) in your binomial. your result looks like this: 2x(x - 2).

if you have any specific binomials you need help with, feel free to send me a message or comment on this and i'll see if i can help. if you're just asking in general, then just remember to look for what the terms have in common, then take it out.

3 0

3 years ago

SOMEONE PLEASE ANSWER AND I WILL GIVE BRAINLIEST :))

UNO [17]

Ok, so we know it costs $1.10 to make a pin, so the cost of making all 1000 pins must have been:
$1.10 \times 1000 = 1100$
We know that 35% of the pins, hence 350 pins, were given to charity (we assume this means donated for free), and so the company sold 650 pins.

60% of these we sold at $3 each;
$0.60 \times 650 = 390$
So 390 pins sold at $3 each comes to
$390 \times 3 = 1170$
So the company has already made $1170.

The other 40% of the 650 remaining pins (260 pins) were sold at $5 for 2. We assume from the question that they were only sold in pairs and were all sold, so we can essentially figure out that 130 pairs were sold at $5 each;
$130 \times 5 = 650$
So the company has sold the pins for $650 + $1170 = $1820

This means that the company has made
$1820 - $1100 = $720 as profit

So the percentage profit earned (profit/cost times 100%) would be
$\frac{720}{1000} \times 100 = 65.4545....$
Which to one decimal place is 65.5% profit.

Hope this helped.

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3 years ago

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Which point is a solution of x + 2y ≤ 4?

SVEN [57.7K]

(1,1) because x + 2y <4
=1 + 2(1)
= 3 which is less than 4

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3 years ago

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If the parent function f(x) = x^2 is fatter translated 11 units to the left, then translated 5 units down, write the resulting f

nikklg [1K]

The quadratic function given by:

$f(x)=a(x-h)^2+k, \ \ \ a\neq 0$

is in vertex form. The graph of $f$ is a parabola whose axis is the vertical line $x=h$ and whose vertex is the point $(h, k)$ . So:

To translate the graph of a function to the right, left, upward or downward we have:

$For \ a \ positive \ real \ number \ c. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:\\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ g(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ g(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{right}: \\ g(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{left}: \\ g(x)=f(x+c)$

By knowing this things, we can solve our problem as follows:

FIRST.

Translating 11 units to the left:

$g(x)=f(x+11) \\ \\ \therefore g(x)=(x+11)^2$

Then translating 5 units down:

$g(x)=f(x)-c \\ \\ \therefore g(x)=(x+11)^2-5$

Since the new function is fatter, the factor we need to multiply the term $(x+11)^2$ must be less than 1, to make the graph fatter. So, according to our options, there are two factors 1/2 and 2.