Find f(x) and g(x) so the function can be expressed as y= f(g(x))

75 - 3.5y - 4y = 4y + 6 Solve for y please.

Alla [95]

Answer:

6

Step-by-step explanation:

75−3.5y−4y=4y+6

Step 1: Simplify both sides of the equation.

75−3.5y−4y=4y+6

75+−3.5y+−4y=4y+6

(−3.5y+−4y)+(75)=4y+6(Combine Like Terms)

−7.5y+75=4y+6

Step 2: Subtract 4y from both sides.

−7.5y+75−4y=4y+6−4y

−11.5y+75=6

Step 3: Subtract 75 from both sides.

−11.5y+75−75=6−75

−11.5y=−69

Step 4: Divide both sides by -11.5.

−11.5y

−11.5

=

−69

−11.5

y=6

Hope this helps!

7 0

3 years ago

Read 2 more answers

Circle 1: center (8, 5) and radius 6

PolarNik [594]

We have that
Circle 1: center (8, 5) and radius 6
Circle 2: center (−2, 1) and radius 2

we know that
the equation of a circle is
(x-h)²+(y-k)²=r²
for the circle 1---------> (x-8)²+(y-5)²=36
for the circle 2---------> (x+2)²+(y-1)²=4

using a graph tool
see the attached figure

Part A)What transformations can be applied to Circle 1 to prove that the circles are similar?

we know that
r1/r2---------> 6/2------> 3

to prove that the circle 1 and circle 2 are similar, the radius of circle 1 must be divided by 3 and translate the center of the circle 1 (10) units to the left and (4) units down

the answer part A) is
the radius of circle 1 must be divided by 3 and translate the center of the circle 1 (10) units to the left and (4) units down

Part B) What scale factor does the dilation from Circle 1 to Circle 2 have?

the answer Part B) is
the scale factor is (3/1)