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Leno4ka [110]
3 years ago
6

3. Given the following functions f(x) and g(x), solve f[g(7)] and select the correct answer below:

Mathematics
2 answers:
antoniya [11.8K]3 years ago
8 0
Hello,
f(g(x))=f(2x+2)=4(2x+2)+21=8x+29
f(g(7))=8*7+29=56+29=85

Delvig [45]3 years ago
7 0
Your answer is 85.

Hope this helps.

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Hi I need question 5 solved using SOH CAH TOA!
Bond [772]

According to the trigonometric functions, we can see that angle x can be found through the one that involves the adjacent side and the hypotenuse, which in this case is the cos,

cos(x)=\frac{27}{30}

then, if we apply the inverse we can find the value of x,

\begin{gathered} cos^{-1}(cos(x))=cos^{-1}(\frac{27}{30}) \\ x\cong25.8 \end{gathered}

Answer:

x\cong25.8

5 0
1 year ago
State the slope and y-intercept for the graph of the equation y=-3x+5
Olin [163]

Answer:

slope: -3

y-intercept: 5

Step-by-step explanation:

y=mx+b, where m=slope and b=y-intercept

6 0
2 years ago
Read 2 more answers
find a function whose second derivative is y''=12x-2 at each point (x,y) on its graph and y=-x+5 is tangent to the graph at the
pogonyaev
Start by integrating y'' twice to get function y(x).

y' = \int (12x - 2) dx = 6x^2 -2x + c \\  \\ y = \int (6x^2 -2x+c )dx= 2x^3-x^2 +cx+d

Next find value of coefficients 'c' and 'd' using the given tangent line
The slope of tangent line is equal to y' when x=1.

6x^2 -2x+c = -1, x = 1 \\  \\ 6-2+c = -1 \\  \\ c = -5

The tangent line intersects the curve y(x) when x = 1.
If x = 1, then y = 4  (From y =-x+5)

y = 2x^3 -x^2-5x +d , x = 1, y = 4 \\  \\ 2-1-5+d = 4 \\  \\ d = 8

Final Answer:
y = 2x^3 -x^2 -5x+8
3 0
3 years ago
A bar of lead is in the shape of a rectangular prism 2 cm by 3 cm
svetoff [14.1K]

Answer:

Step-by-step explanation:

V = L * W * H

L = 4

W = 3

H = 2

V = 4 * 3 * 2

V = 24

Density = mass / Volume

density = 11.34

volume = 24

mass = ?

11.34 = mass / 24                   Multiply both sides by 24

11.34 * 24 = 24 * mass /24

mass = 272.16 grams

5 0
2 years ago
The scale on a drawing is 3 in.:4 ft. The actual length of the object is 24 feet. How many inches is the length of the object on
Morgarella [4.7K]
In:ft 
3:4
x:24--- to find x, multiply each side by 6, because 24/4=6
3*6:24
18:24
The length of the object is 18 in. I think this is what your asking, but I'm not sure because I didn't quite understand the wording on the problem.
3 0
2 years ago
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