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Alja [10]
3 years ago
6

If f(x)= 3x2 and g(x) = x+2, find (f.g)(x).

Mathematics
1 answer:
Paha777 [63]3 years ago
7 0

Step-by-step explanation:

f(x) = 3 {x}^{2}  \: and \: g(x) = x + 2 \\ (f.g)(x)  \\ = f(x).g(x) \\  = 3 {x}^{2} .(x  + 2) \\ \red{ \boxed{ \bold{  \therefore f(x).g(x)= 3 {x}^{3}  + 6 {x}^{2} }}} \\

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A wooden board 100 centimeters long is cut into two pieces. One piece is 16 centimeters longer than the other. What are the leng
Bezzdna [24]

x = the length of one piece

y = the length of the other piece


the total length is 100 cm this means 


x + y = 100


one piece is 16 inches longer than the other


first we need to convert inches to cm: 


1 in = 2.54 cm

16 in = 2.54*16 = 40.64


now we can write


x = y + 40.64


by solving the system of equations


x + y = 100

x = y + 40.64


we find


x = 70.32 cm


y = 29.68 cm


the lengths of the two pieces are 70.32 cm and 29.68 cm.

4 0
3 years ago
Evaluating expressions please help
MAXImum [283]

Answer:

-15

Step-by-step explanation:

-1-7*(2)=-1-14=-15

6 0
2 years ago
Write a multiplication sentence that shows the zero property of multiplication. Explain why it shows this property.
Aloiza [94]
Okay so the zero property of multiplication is anything times zero equals zero, so just use a number, multiply it times zero, and show what it equals (which is zero) explain that it shows the property because the variable is multiplied times zero.
4 0
3 years ago
Helpppppppppppppppp ill mark you brainlist write in y=mx+b form
Sholpan [36]

Answer:

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

  • y\:=\:\frac{-10}{7}x-\frac{45}{7}

Step-by-step explanation:

Given the points

  • (-8, 5)
  • (-1, -5)

Finding the slope

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-8,\:5\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-5\right)

m=\frac{-5-5}{-1-\left(-8\right)}

m=-\frac{10}{7}

We know the slope-intercept form of the line equation is

y = mx+b

where m is the slope and b is the y-intercept

substituting m = -10/7 and (-8, 5) in the slope-intercept form to determine the y-intercept

5\:=\:\frac{-10}{7}\left(-8\right)+b

\frac{80}{7}+b=5

b=-\frac{45}{7}

now substituting m = -10/7 and b = -45/7 in the slope-intercept form

y = mx+b

y\:=\:\frac{-10}{7}x+\left(-\frac{45}{7}\right)

y\:=\:\frac{-10}{7}x-\frac{45}{7}

Thus, the equation of the line in slope-intercept form is:

  • y\:=\:\frac{-10}{7}x-\frac{45}{7}
7 0
3 years ago
Please help I am so confused lol. I’ll mark you the brainiest
ANTONII [103]

Answer:

Since the pentagon is regular, the line connecting the centre of the circle to the verticles (A,B,C,D,E) should inscribe an equal angle in them

You can see what I mean in the attachment

So to mark other points we follow the following steps

  1. Connect OA
  2. With OA as base, make angle of 72°. Say th new line is OB.
  3. Similarly, do for the rest of them
  4. This is a cyclic pentagon

Step-by-step explanation:

Hope this helps... Pls vote as brainliest

3 0
3 years ago
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