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3 years ago

-6•f(-3) - 5.g(-7) =

Mathematics

1 answer:

enyata [817]3 years ago

8 0

Ah, function problems, I had this in my math class around 2-3 weeks ago. So f and g is the function here.

TO SOLVE:

Simply look at where each plot is at. f(-3) is at (0, -3). So we will substitute -3 into f(-3).

Now, our equation should look like:

-6•(-3)-5•g(-7).

We can now take a look at the function, g. We can see that g(-7) lays at (-7, 6). We only need the Y here so it will be 6. Now, plug it in:

-6•(-3)-5•6=

=18-30

=-12

So thus, -12 is the answer!

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There were 820 orange buttons in a container. The number of orange buttons was 160 fewer than the number of yellow buttons and 2

denis-greek [22]

Answer: There are 3615 buttons

Step-by-step explanation:

From this situation we can write a system of equations if we tag the orange buttons with $o$ , the yellow buttons with $y$ , the green buttons with $g$ and the blue buttons with $b$ :

There were 820 orange buttons:

$o=820$ (1) Number of orange buttons

The number of orange buttons was 160 fewer than the number of yellow buttons:

$o=y-160$ (2)

The number of orange buttons was 210 more than the number of green buttons:

$o=g+210$ (3)

1/3 of the total number of buttons in the container were blue buttons:

If the total is the sum of the buttons of each color, we have:

$\frac{1}{3}(o+y+g+b)=b$ (4)

At this point we have our system with 4 equations and 4 unknowns.

Let's begin by substituting (1) in (2):

$820=y-160$ (5)

Isolating $y$ :

$y=980$ (6) Number of yellow buttons

Subsituting (1) in (3):

$820=g+210$ (7)

Isolating $g$ :

$g=610$ (8) Number of green buttons

Substituting (1), (6) and (8) in (4):

$\frac{1}{3}(820+980+610+b)=b$ (9)

Isolating $b$ :

$b=1205$ (10) Number of blue buttons

Now we can find the total number of buttons:

$o+y+g+b=820+980+610+1205=3615$ (11) This is the total number of buttons

4 0

3 years ago

Each big square below represents one whole. What percent is represented by the shaded area?

Lelechka [254]

Answer:

Fraction 81/100

Decimal .81

Percent 81%

Step-by-step explanation:

There are total 10×10 = 100 squares in the picture and number of shaded squares = 100 - 19 = 81

Shaded area expressed as the fraction of the whole =

Shaded area in decimals of the whole =

Shaded area in percent of the whole = = 81%

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4 years ago

Which set of transformations is needed to graph f(x) = –0.1cos(x) – 4 from the parent cosine function?

Bogdan [553]

Answer:

The correct option is;

Reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A cookie recipe calls for 1 1/3 cups of walnuts. Jen wants to use only half of this amount. How many cups of walnuts should Jen

antiseptic1488 [7]

Answer:

4/6 or simplifed to 2/3

Step-by-step explanation:

To find half of anything, you are dividing by 2 or multiplying it by 1/2.

If you are working in fractions, it's easier to do the later (multiplying by 1/2)

So you have 1 1/3 cups of walnuts being multiplied by 1/2.

You should convert any mixed number to an improper fraction first before multiplying or dividing with another fraction.

1 1/3 Mixed number = 4/3 as an improper fraction

So now you can use 4/3 x 1/2

To multiply fractions, you just multiply the numerators together then put that over multiplying the denominators together.

4x1 over 3x2

= 4/6

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3 years ago

What is the surface area of the rectangular prism?

padilas [110]

Answer: 396 in²

Step-by-step explanation:

2(7 x 6) = 84 + 2(6 x 12) = 144 + 2(12 x 7) = 168

84 + 144 + 168 = 396 in²

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3 years ago