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3 years ago

If f(x) = 27 +3 and g(x) = x - 7, find (f - g)(x).

Mathematics

2 answers:

lara31 [8.8K]3 years ago

7 0

Answer:

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

We have f(x) = 27x + 3 and g(x) = x - 7. Substitute:

(f - g)(x) = (27x + 3) - (x - 7)

(f - g)(x) = 27x + 3 - x - (-7)

(f - g)(x) = 27x + 3 - x + 7 combine like terms

(f - g)(x) = (27x - x) + (3 + 7)

(f - g)(x) = 26x + 10

KatRina [158]3 years ago

3 0

Answer:

(f - g)(x) = 37 - x

Step-by-step explanation:

(f - g)(x) = (27 +3) - (x - 7)

= 27 + 3 - x + 7

= 37 - x

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Show if the following expressions are equivalent

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3 years ago

Help quickly please!!!

sineoko [7]

Answer:

M= -2

B=1

Step-by-step explanation:

Y-intercept is the point where the line crosses through the y line, so you can clearly see that that point is (0,1) we only write the y value because for a y intercept the x value will always be zero

Slope is the rise over run, meaning how much the y value changes over how much the x value changes, so for the two points we use our formula:

$\frac{y1-y2}{x1-x2}$

So now input how much it changes by adding the numbers from each coordinate:

$\frac{(-3)-(1)}{(2)-(0)}$

Simplify:

$\frac{-4}{2}$

But we write it as:

-4/2

This is because this looks more like division

Divide:

-4/2=-2

So, your slope is -2 and the y- intercept is 1

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3 years ago

A box contains 100 colored chips; some are pink and some are blue. Milton chooses a chip at random, records the color, and place

Lena [83]

The approximate number of pink chips is 40. Here's why: what you need to do is set up the problem as shown below. 12 goes above 30 because you have to know what the total number of chips chosen is in order to relate it to 100 chips. From there, all you have to do is cross-multiply and divide (or my middle school teacher used to call it fish.... I'll explain why). First you are going to draw a line from the 100 to the 12 and multiply them. then you are going to curve the line that you will draw from the 12 to the 30 and divide the product of 12 and 100 by 30. Then you will draw a line from the 30 to the X meaning that the quotient that you find from the product of 120 and 100 divided by 30 equals X. Hope that helps.

12 x

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3 years ago

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If a box has a length of 12 inches, a width of 10 inches and a height of 6 inches, what is the volume?

Roman55 [17]

720

(12inches x 10inches x 6inches)

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3 years ago

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Punctele O, A, B, C sunt coliniare în această ordine, iar segmentele OA, AB și BC au lungimile exprimate în cm, prin numere natu

julia-pushkina [17]

Răspuns:

a) OC = 18cm

b) MN = 6cm

Explicație pas cu pas:

Găsiți diagrama la întrebarea atașată.

a) Din diagramă se poate observa că OC = OA + AB + AC

OC = 2n + 2n + 2 + 2n + 4

OC = 6n + 6

Următorul este să obțineți valoarea lui n:

OM = OA + AM

Să obținem segmentul AM;

Deoarece M este segmentul mijlociu al AC, atunci;

AM = AC / 2

AM = AB + BC / 2

AM = 2n + 2 + 2n + 4/2

AM = 4n + 6/2

AM = 2n + 3

Din moment ce OM = OA + AM

OM = 2n + 2n + 3

OM = 4n + 3

Dat fiind OM = 11

11 = 4n + 3

4n = 11-3

4n = 8

n = 2

Următorul pas este să calculați OC;

OC = 6n + 6

OC = 6 (2) + 6

OC = 18

Prin urmare, lungimea segmentului OC este de 18 cm

b) Această întrebare ne cere să găsim segmentul de linie MN.

Din diagramă, MN = AM - AN

Deoarece AM = 2n + 3 din întrebarea 1;

AM = 2 (2) +3

AM = 4 + 3

AM = 7

Acum, să obținem AN:

Din diagramă, AN = ON-OA și ON = OB / 2

AN = OB / 2 - OA

AN = (2n + 2n + 2) / 2 - 2n

AN = 4n + 2/2 - 2n

AN = 2n + 1 - 2n

AN = 2n-2n + 1

AN = 1

De la MN = AM - AN

MN = 7 - 1

MN = 6cm

Prin urmare, distanța dintre N, mijlocul segmentului OB și punctul M este de 6cm

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3 years ago