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olga nikolaevna [1]

2 years ago

11

HELP!! Just need the answer to the question in the picture, please!

1 answer:

Olin [163]2 years ago

3 0

First thing to do is to switch the x and the y and then solve for the new y. Easier said than done! Here's our equation with the switch: $x=2 ^{y} +6$ . We need to get that y out from inside that exponent. This is an exponential equation, and the inverse of an exponential equation is a log equation. Let's do some simplifying here first: $x-6=2 ^{y}$ . The 2 is now the base of our log (x-6) so now we have $y=log _{2} (x-6)$ , which is the last choice above.

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Does anyone know how to do these maths question???

Dmitry_Shevchenko [17]

Answer:

Part 1) $f(g(x))=3(x^2)+2$

Part 2) $g(f(5))=289$

Step-by-step explanation:

we know that

A composite function is a function that depends on another function. A composite function is created when one function is substituted into another function

we have

$f(x)=3x+2$

$g(x)=x^{2}$

Part 1) Determine f(g(x))

To find f(g(x)) substitute the function g(x) as the variable in function f(x)

so

$f(g(x))=3(x^2)+2$

Part 2) Determine g(f(x))

To find g(f(x)) substitute the function f(x) as the variable in function g(x)

so

$g(f(x))=(3x+2)^2$

For x=5

$g(f(5))=(3(5)+2)^2$

$g(f(5))=289$

3 0

2 years ago

An entertainment firm offers several DJ choices and light shows that range in price based on the rental time period. The DJ's co

snow_tiger [21]

From $378 (min) to $528 (max) per night

3 0

3 years ago

Read 2 more answers

6. what is the parimeter of triangle ABC<br>8. What is the value of x

nalin [4]

<u>Answer:</u>

Perimeter = 20 units

x = 120°

<u>Step-by-step explanation:</u>

We are given a triangle ABC with known side lengths for all three sides and an inscribed circle.

We are to find the perimeter of triangle ABC and the value of x.

Perimeter of triangle ABC = 2 + 2 + 5 + 5 + 3 + 3 = 20 units

The kite shape at the end is a quadrilateral which has a sum of angles of 360 degrees.

Two out of four angles are right angles and one is 60 so we can find the value of x.

x = 360 - (90 + 90 + 60) = 120°

7 0

2 years ago

Read 2 more answers

On my paper I got a 96 but I want a 100 so I am doing corrections on one problem and I need help please. I tried 5 but that wasn

Scorpion4ik [409]

16 students out of 20

6 0

2 years ago

Read 2 more answers

Find the HCF of 960 and 432

sdas [7]

Answer:

48

Step-by-step explanation:

Using Uclid's division algorithm, the HCF of 960 and 432 can be obtained as follows:

Here, 960 is greater and 432 is smaller. We divide 960 by 432.

STEP 1:

960 = 432*2 + 96

STEP 2:

Divide divisor (432) by remainder (96)

432 = 96 * 4 + 48

STEP 3:

Divide divisor (96) by remainder (48)

96 = 48 * 2 + 0

Since, remainder at this step is zero (0), so the HCF would be the divisor of this step which is 48.

Thus, HCF of 960 and 432 is 48

4 0

2 years ago