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Tanya [424]
3 years ago
5

Find the exact solution to the equation. 5^(6-2x) = 25

Mathematics
1 answer:
STatiana [176]3 years ago
3 0

Answer:

x = 2

Step-by-step explanation:

Note that 25 = 5² , then

5^{(6-2x)} = 5²

Since the bases on both sides are 5 then equate the exponents

6 - 2x = 2 ( subtract 6 from both sides )

- 2x = - 4 ( divide both sides by - 2 )

x = 2

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Can someone help? Thanks :D
Rufina [12.5K]

Answer:

y\leq -x+4

Step-by-step explanation:

The first thing that we can do is look at the equation of the line and then worry about the inequality afterwards.

This line has a y-intercept of 4 and a slope of -1.

This means that the equation of this line would be y=-x+4

Now that we have the equation of the line, we just need to determine which inequality sign to use.

As the shaded region is BELOW the line, we will use a less than (<) sign.

As the line is fully shaded, I can only assume that it is meant to include the line, which would mean that y\leq -x+4 would be the equation for this inequality.

3 0
3 years ago
That problem bc I know how to tofu it but I want to make sure
MariettaO [177]

Answer:

Step-by-step explanation:

5c^{2} +2c -3

8 0
3 years ago
Read 2 more answers
7. A sporting goods store purchases a
leva [86]

Answer:

final price of skateboard will be $119

Step-by-step explanation:

Given that:

Purchasing price = $100

Mark up = 40%

So the mark up price would be:

= Original price + 40%(Original price)

= $100 + 40%($100)

= $100 + 40

= $140

Now when store is having a sale everything will be 15% off so:

Sale price of skate board will be:

= $140 - 15%(140)

= $140 - 0.15(140)

= $140 - $21

= $119

So the final price of skateboard will be $119

i hope it will help you!

3 0
4 years ago
Pleasei need a sulutoin​
mariarad [96]

Answer:

19 days

Step-by-step explanation:

Total cost: 587.50

He has: 150.00 + 200.00 = 350.00

He needs an additional: 587.50 - 350.00 = 237.50

He saves 12.50 per day.

137.50/12.50 = 19

Answer: 19 days

5 0
3 years ago
Read 2 more answers
A music festival charges $54.95 per ticket sold on the day of the event. A ticket purchases before the festival costs only $39.9
Wewaii [24]
B=number of ticets sold before
a=number of tickets sold after

cost of a ticket=number of tickets times cost per ticket
beforecost=39.95b
aftercost=54.95a

total cost=925000
39.95b+54.95a=925000

total number tickets=20000
b+a=20000

we have

39.95b+54.95a=925000
b+a=20000
multiply second equation by -39.95 and add to first equatin
39.95b+54.95a=925000
<u>-39.95b-39.95a=-799000 +</u>
0b+15a=126000

15a=126000
divide bot sides by 15
a=8400

sub back
b+a=20000
b+8400=20000
minus 8400 both sides
b=11600




11,600 tickets sold before
8400 tickets sold after
7 0
3 years ago
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