All categories

3 years ago

Please help me!!! show work

Mathematics

1 answer:

WINSTONCH [101]3 years ago

3 0

Answer:x=8 or x=-2

Step-by-step explanation:

log4(x-6) + log4(x)=2

log4(x(x-6))=2

4^2=x(x-6)

4x4=x(x-6)

16=x^2-6x

Arrange the quadratic equation

x^2-6x-16=0

x^2+2x-8x-16=0

x(x+2)-8(x+2)=0

(x-8)(x+2)=0

x-8=0. x+2=0

x=8. x=-2

You might be interested in

HELP I NEED HELP ASAP

victus00 [196]

Answer: (5, -2)

Step-by-step explanation:

$y= x-7\\2x+y=8$

Substitute x-7 for y in 2nd equation

$2x+ x-7 =8\\3x-7=8\\3x = 15\\x=5$

Solve for y

$y=5-7\\y=-2$

8 0

3 years ago

Kenji buys 3 yards of fabric for $7.47. Then he realizes that he needs 2 more yards. How much will the extra fabric cost?

bixtya [17]

3 yards fabric costs $7.47
1 yard fabric costs $7.47 / 3
2 yard fabric costs $7.47 / 3 * 2
= $4.98
so, the extra fabric will cost $4.98

4 0

3 years ago

Read 2 more answers

Daniel works at an electronics store, and he claims that the popularity of a television (measured in number of sales) is inverse

Rom4ik [11]

We are given that popularity of television is inversely proportional to its cost.

let us say popularity of television is represented by "P" and cost of television by "T".

We will use a constant "k" to convert the proportionality sign to equal to (=) sign.

Thus forming the equation :

$P= \frac{k}{T}$

We are given that 15 customers buy a television that cost $1500.

plugging P=15 and T=1500, finding k,

$15= \frac{k}{1500}$

k=15*1500 = 22500

Next we have to find how many customers would buy a television that costs $2500, so here k=22500 and T=2500, plugging this in the equation we have ,

$P= \frac{22500}{2500}$

P=9

So there will be 9 customers that buy a television which costs $2500.

7 0

3 years ago

Read 2 more answers

When 0.3(4x – 8) – 0.5(–2.4x + 4) is simplified, what is the resulting expression?

andrew-mc [135]

Answer:

=2.4x-4.4

Step-by-step explanation:

did the test

0.3(4x-8)-0.5(-2.4x+4)

=1.2x-2.4-0.5(-2.4x+4)

=1.2x-2.4+1.2x-2

=2.4x-4.4

5 0

3 years ago

Read 2 more answers

1. What is the general form of the equation for this line y-5= -3(x + 4)?

ivanzaharov [21]

Answer:

I think its B

8 0

2 years ago

Read 2 more answers