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Nimfa-mama [501]
3 years ago
8

If f(x)= 3x-1 and g(x)=2x-3, for which value of x does g(x)= f(2)

Mathematics
1 answer:
gregori [183]3 years ago
7 0

Answer:

g(4)=f(2)

Step-by-step explanation:

f(2)=3(2)-1

f(2)=6-1

f(2)=5


We then get:

g(x)=f(2)

subsitute 5 for f(2)

g(x)=5

now solve

5=2x-3

add 3

8=2x

divide 2

4=x

so the answer is x=4 or  

g(4)=f(2)

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igor_vitrenko [27]
Well, first, the equation that you are looking for is Y = MX + B. To find B, look at the first dot on the Y-axis. It starts at positive 3, so, you know your equation will end with +3. Next, to find MX, start at the either dot, and find the Rise/Run. In this particular equation, the rise is 1, and, the run is -2, because it's going backwards (negative line). Meaning, the line's equation would be, f( x )= -1/2x + 3.
5 0
3 years ago
A set of equations is given below:
artcher [175]

Answer:

comparing both equation we get,

2X+1=X+9

or, X=8

Y=X+9

or, Y=17

therefore the required solution is (8,17)

7 0
2 years ago
Question 5
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3 years ago
Leonardo da Vinci drew a portrait of a young woman. The portrait is shaped like a rectangle. It is 13.5 inches long and 10 inche
ivann1987 [24]
Let
x---------------> long side rectangle------------> 13.5 in
y---------------> wide side rectangle------------> 10 in
d--------------> <span>length of a diagonal
</span>
we know <span>applying the Pythagorean theorem
</span>d²=x²+y²-----------> d²=13.5²+10²-> d²=282.25
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3 0
3 years ago
In this diagram the big square is divided into 7 congruent small squares and two congruent triangles. The area of the shaded squ
Salsk061 [2.6K]
Since each square will have an area of 4 cm^2 because they are congruent, then let’s find the side length of them.

Square root of 4 is two

Each side is 2 cm. Since the unshaded triangle has 3 on the base and height, then it is same to assume that the triangle has a base of 6 cm (2 * 3) and a height of 6 cm.

The formula of the area of a triangle is:
1/2 ( base times height)

Let’s plug in some values

1/2(6 * 6)

Multiply

1/2 (36)

Divide

18

Since the triangles are also congruent, then the shaded side has the same area.

The shaded triangle has an area of 8 cm ^2
5 0
2 years ago
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