All categories

3 years ago

Given that f(x)=x^2-4x-3 and g(x)= x+3/4, solve for f(g(x)) when x =9

Mathematics

2 answers:

xxMikexx [17]3 years ago

4 0

The answer to the question

Gre4nikov [31]3 years ago

3 0

Here you go. I Hope you'll find it helpful.

You might be interested in

56+3 <img src="https://tex.z-dn.net/?f=56%20%2B%203%20%3D%20" id="TexFormula1" title="56 + 3 = " alt="56 + 3 = " align="absmi

tangare [24]

sorry if I'm wrong. I got confused because you put 56+3 twice.×= 63
56+3=59=x-4 (this is with subtraction sign)

I didnt know if that a subtracting or negative so here both

56+3=x-4 (this is with the negative sign)
x= -14.75

6 0

3 years ago

Need help I dont understand hep please

Travka [436]

The formulas
are on the picture

5 0

3 years ago

Plzzz hurry up and help me if A+B=45 prove that (1+tanA)(1+tanB)=2

Solnce55 [7]

Answer:

see explanation

Step-by-step explanation:

If A +B = 45° then tan(A+B) = tan45° = 1

Expanding (1 + tanA)(1 + tanB)

= 1 + tanA + tanB + tanAtanB → (1)

Using the Addition formula for tan(A + B)

tan(A+B) = $\frac{tanA+tanB}{1-tanAtanB}$ = 1 ← from above

Hence

tanA + tanB = 1 - tanAtanB ( add tanAtanB to both sides )

tanA + tanB + tanAtanB = 1 ( add 1 to both sides )

1 + tanA + tanB + tanAtanB = 2

Then from (1)

(1 + tanA)(1 + tanB) = 2 ⇒ proven

7 0

3 years ago

The temperature inside a certain industrial machine at time t seconds after startup, for 0 < t < 10, is given by h(t) = 42

frutty [35]

Answer:

$t= \frac{125}{38} s$

Step-by-step explanation:

We are given the temperature inside the machine from startup until 10 seconds later, the formula is:

$h(t)= 42 \cdot t +1 - 4\cdot t +2 (degrees \, C)$

We want to know at what time t the temperature inside the machine will be equal to 128 °C.

So we set:

$h(t)=128$

$42\cdot t+1-4\cdot t+2=128$

Now, we rearrange the equation to keep terms with t on the left hand side and terms without t on the right hand side

$42\cdot t-4\cdot t=128-1-2$

and we simplify:

$(42-4)\cdot t= 128-2-1= 125$

$38 \cdot t = 125$

now it's easy to solve for t:

$t=\frac{125}{38}$

And thus we arrive to the solution.

5 0

3 years ago

3y = x - 12 Y= 1/3X -4 parallel, perpendicular or neither

aliina [53]

Answer:

PARALLEL

Step-by-step explanation:

The second equation, y = (1/3)x - 4, has already been solved for y. To compare the slopes easily, we need now to solve the first equation for y, obtaining y = (1/3)x - 4.

We see that these two lines have the same slope, m = 1/3, and thus conclude that these lines are PARALLEL.

5 0

3 years ago