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3 years ago

Suppose g(x) = (x - 4)2 - 5. Which statement best compares the graph of

Mathematics

2 answers:

Licemer1 [7]3 years ago

4 0

Answer:

Step-by-step explanation:

It's essential that you use " ^ " to indicate exponentiation:

(x - 4)2 is invalid;

(x - 4)^2 is correct;

(x - 4)² is would be even better.

Starting with the graph of f(x) = x², we first shift the entire graph 4 spaces to the right and then shift this new graph down by 5 units. That's Answer C.

pashok25 [27]3 years ago

3 0

Hey there! :)

Answer:

C. The graph of g(x) is shifted 4 units right and 5 units down.

Step-by-step explanation:

Recall that the formula for the transformations of a parabola is:

f(x) = ±a(b(x-h))²+ k

'h' represents any horizontal shifts, while:

'k' represents vertical shifts.

In this instance, h = 4 and k = -5. This means that there is a shift right of 4 units and a shift down of 5.

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Will mark brainliest for full answer

Svet_ta [14]

Answer:

y=2

Step-by-step explanation:

Hope it helps

5 0

3 years ago

Please answer me .....

andrew11 [14]

Answer:

a. 2x -3

b. 7

Step-by-step explanation:

a. The expression that represents the difference is sales between the two sales will be:

9x - (7x + 3) = 9x - 7x - 3 = 2x - 3

b. What we do here is to simply substitute the value of 5 for x

mathematically, we have to substitute the value of 5 in the expression above

We have this as:

2(5) -3

= 10-3 = 7

4 0

3 years ago

Consider the differential equation <img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D6%20y%5E%7

Nutka1998 [239]

As a Bernoulli equation:

$x^2\dfrac{\mathrm dy}{\mathrm dx}=6y^2+6xy\iff x^2y^{-2}\dfrac{\mathrm dy}{\mathrm dx}-6xy^{-1}=6$

Let $z=y^{-1}\implies\dfrac{\mathrm dz}{\mathrm dx}=-y^{-2}\dfrac{\mathrm dy}{\mathrm dx}$ . The ODE becomes

$-x^2\dfrac{\mathrm dz}{\mathrm dx}-6xz=6$
$x^6\dfrac{\mathrm dz}{\mathrm dx}+6x^5z=-6x^4$
$\dfrac{\mathrm d}{\mathrm dx}[x^6z]=-6x^4$
$x^6z=-6\displaystyle\int x^4\,\mathrm dx$
$x^6z=-\dfrac65x^5+C$
$z=-\dfrac6{5x}+\dfrac C{x^6}$
$y^{-1}=-\dfrac6{5x}+\dfrac C{x^6}$
$y=\dfrac1{\frac C{x^6}-\frac6{5x}}$
$y=\dfrac{5x^6}{C-6x^5}$

With $y(3)=6$ , we get

$6=\dfrac{5(3)^6}{C-6(3)^5}\implies C=\dfrac{4131}2$

so the solution is

$y=\dfrac{5x^6}{\frac{4131}2-6x^5}=\dfrac{10x^6}{4131-12x^5}$

which is valid as long as the denominator is not zero, which is the case for all $x\neq\sqrt[5]{\dfrac{4131}{12}}$ .

8 0

3 years ago

2x-50=150 <br> Someone please help me out

Charra [1.4K]

Start out by adding 50 to both sides.

2x - 50 + 50 = 150 + 50
which simplifies to
2x = 200

then divide both sides by 2
2x ÷ 2 = 200 ÷ 2
which simplifies to
x = 100

And that is your answer! Hope this helps :)

4 0

3 years ago

Read 2 more answers

A teacher asked her students to use rounding to estimate if the sum of the problem below is closer to 4,000 or 5,000. 496+1,404+

topjm [15]

Answer:

496+1404+2695+489=5084

Step-by-step explanation:

5084 is closer to 5,000 than it is to 4000. 5084 is only 84 more than 5000, but its 1084 away from 4000

7 0

3 years ago

Read 2 more answers