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3 years ago

I WILL GIVE BRAINLIEST!!!

Mathematics

1 answer:

natali 33 [55]3 years ago

5 0

Answer:

the average number of subscribers to the online magazine in 2010 was 320,000

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Let f(x) = 2x – 3 and g(x) = 3x – 2. Find the value.

Sholpan [36]

Answer:

Ok:

Step-by-step explanation:

So f°g . means f(g(x)). (The ° should be more center and bigger but I don't know to do that on a keyboard). f(g(x)) means that you replace the x in f(x) with the g(x) function. i.e:

if f(x) = 2x+2

and g(x) = $x^2$

f(g(x)) = $2x^2+2$ .

Similarly, in this case, we get f(x) = 2x-3 and g(x) = 3x-2.

Then, f(g(x)) or f°g(x) is 2(3x-2) - 3.

And we plug in -2 to solve:

2(3(-2)-2)-3.

and get -19.

Check if I am wrong because everyone makes mistakes but that is the way to solve this.

7 0

3 years ago

In 5 minutes a conveyor belt moves 300 pounds of receyclable aluminum from the delievery truck a smaller belt moves the same qua

ladessa [460]

Answer:

It will take 3.214 minutes.

Step-by-step explanation:

<em>It is given that, the conveyor belt transports 300 cans in 5 mins and the smaller belt transports 300 cans in 9 minutes.</em>

Thus , the speed of conveyor belt is,

= $\frac{300}{5} = 60 cans per minute$

and of smaller belt is,

= $\frac{300}{9} = \frac{100}{3} cans per minute$

Thus, when both are used together,

<em>conveyor belt will transport (60)(t) cans and smaller belt will transport $( \frac{100}{3})$ (t) cans per minute.</em>

Thus the equation becomes,

$300 = (60)(t) + (\frac{100}{3})(t) = (\frac{280}{3})(t)$

t = $\frac{(300)(3)}{280} = \frac{45}{14} = 3.214 minutes$

3 0

3 years ago

Jenny can type 1,200 words in just 15 minutes. How many words can she types in anhour?

seropon [69]

She can type 4,800 words in one hour.

7 0

3 years ago

Sarah bought 3 1/2 pints of blueberries to make jelly. She ate 3/4 of a pint of berries on her way home. How many pints of berri

AnnyKZ [126]

Answer:

11/4 or 2.75 pints

Step-by-step explanation:

We want to find the difference between the original amount of blueberries and the amount she ate

original amount-amount ate

3 1/2 -3/4

To subtract, we need common denominators

The common denominator of 2 and 4 is 4

3 1/2=7/2

Multiply by 2/2 to get a common denominator of 4

7/2*2/2=14/4

Now, we have common denominators and can subtract

14/4-3/4

Subtract the numerators, and leave the denominators as 4

11/4 =2.75

She has 11/4 or 2.75 pints left

8 0

3 years ago

Peter works as a delivery person for a bike shipping company. The graph shows a linear model for his delivery times on different

aev [14]

Answer/Step-by-step explanation:

✍️The equation of the line in point-slope form:

The equation is given as $y - b = m(x - a)$ , where,

(a, b) = a point on the line.

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1}$

Let's find the slope (m) of the line, housing (3, 21) and (6, 12):

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 21}{6 - 3} = \frac{-9}{3} = -3$

Substitute a = 3 and b = 21, m = -3 into $y - b = m(x - a)$ .

Thus, the point-slope equation would be:

✅ $y - 21 = -3(x - 3)$

✍️The equation of the line in slope-intercept form:

Rewrite $y - 21 = -3(x - 3)$ , so that y is made the subject of the formula.

$y - 21 = -3x + 9$

Add 21 to both sides

$y = -3x + 9 + 21$

$y = -3x + 30$

✅The slope-intercept equation of the line is $y = -3x + 30$

Where,

-3 = how much did his delivery time decrease per day (slope)

30 = how long it initially took Peter to deliver his packages (y-intercept)

5 0

3 years ago