All categories

3 years ago

Look at image help plz!! Worth 30 points!

Mathematics

1 answer:

Leona [35]3 years ago

6 0

Answer:

t = Gx + a

Step-by-step explanation:

G = t - a/x (Given)

G(x) = (t - a/x)x (Multiply x on both sides)

Gx = t - a (Simplify)

Gx + a = t - a + a (Add a on both sides)

Gx + a = t (Simplify)

You might be interested in

For the function y=3x2: (a) Find the average rate of change of y with respect to x over the interval [3,6]. (b) Find the instant

nirvana33 [79]

Answer:

The instantaneous rate of change of $y$ with respect to $x$ at the value $x = 3$ is 18.

Step-by-step explanation:

a) Geometrically speaking, the average rate of change of $y$ with respect to $x$ over the interval by definition of secant line:

$r = \frac{y(b) -y(a)}{b-a}$ (1)

Where:

$a$ , $b$ - Lower and upper bounds of the interval.

$y(a)$ , $y(b)$ - Function exaluated at lower and upper bounds of the interval.

If we know that $y = 3\cdot x^{2}$ , $a = 3$ and $b = 6$ , then the average rate of change of $y$ with respect to $x$ over the interval is:

$r = \frac{3\cdot (6)^{2}-3\cdot (3)^{2}}{6-3}$

$r = 27$

The average rate of change of $y$ with respect to $x$ over the interval $[3,6]$ is 27.

b) The instantaneous rate of change can be determined by the following definition:

$y' = \lim_{h \to 0}\frac{y(x+h)-y(x)}{h}$ (2)

Where:

$h$ - Change rate.

$y(x)$ , $y(x+h)$ - Function evaluated at $x$ and $x+h$ .

If we know that $x = 3$ and $y = 3\cdot x^{2}$ , then the instantaneous rate of change of $y$ with respect to $x$ is:

$y' = \lim_{h \to 0} \frac{3\cdot (x+h)^{2}-3\cdot x^{2}}{h}$

$y' = 3\cdot \lim_{h \to 0} \frac{(x+h)^{2}-x^{2}}{h}$

$y' = 3\cdot \lim_{h \to 0} \frac{2\cdot h\cdot x +h^{2}}{h}$

$y' = 6\cdot \lim_{h \to 0} x +3\cdot \lim_{h \to 0} h$

$y' = 6\cdot x$

$y' = 6\cdot (3)$

$y' = 18$

The instantaneous rate of change of $y$ with respect to $x$ at the value $x = 3$ is 18.

5 0

3 years ago

65 miles divided by 6hr 20mins

polet [3.4K]

Lol i did this on my calculator
this is what i got
4.58804211

idk if it will help

6 0

4 years ago

Complete the ordered pair for the equation y = - 7x + 8.

Snowcat [4.5K]

Answer:y+7x=8

Step-by-step explanation:y=-7x+8

7x needs to be on the variable side

y+7x=8

5 0

3 years ago

Anyone know the answers to 1, 2, 3, 4, 5

muminat

Answer:

1. C. 1/4(4) + 1/4(9) (A, 1/4(13), is essentially C simplified (without figuring it out).)

2. G - -4

3. A - -4(-5) + (-4)x

4. J - 1/6x + 1/6y

5. A - 60(10 + 2)

Step-by-step explanation:

1/4(4 + 9) We can distribute 1/4 into 4 and 9.

1/4(4) + 1/4(9) Now while we have our answer, this can be further simplified.

1/4(13) What's on the left is the simplified 2-term equation.

So really, either C or A will be the answer. But due to the format of #3, I put C as my answer. B & D were out because there wasn't any extra multiplication.

-2/5(15 - 5) Subtract 5 from 15 to get 10.

-2/5(10) Multiply -2/5 by 10 to get -20/5

-20/5 Divide -20 by 5 to get -4.

-4, so G is the answer. This was negative, so H & J were out to begin with. F was out as soon as I solved the problem.

-4(-5 + x) Distribute -4 into -5 + x.

-4(-5) + (-4)x, so A is the answer. Don't get tricked! B may look right, but there should be a negative sign in front of the 5, hence why it's incorrect.

1/6(x + y) Distribute 1/6 into x + y.

1/6x + 1/6y, so J is the answer. F & G are already out because you don't multiply the variables by each other. H is also out because there wasn't any multiplication involved other than x + y being multiplied by 1/6.

Only 60(10 + 2) would have worked, so A is the answer. The tickets would have cost 720 dollars (600 + 120). B would have equated to 624 (24 + 600), C would have been 132 (6 * 22), and D would have been 600. (10 * 60).

6 0

3 years ago

Which name correctly classifies this triangle?

Ganezh [65]

C obtuse scalene

Source:
http://www.1728.org/triang.htm

4 0

3 years ago

Read 2 more answers