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amid [387]
4 years ago
12

Please help!!! I’m so confused on how to solve this!

Mathematics
2 answers:
-Dominant- [34]4 years ago
8 0

Let's first write the equation given

x²+6x-13=0

They have told us to use "Completing the square" method.

So we need write x²+6x-13 as a whole square.

x²+6x-13=0

x²+(2*3*x)-9-4 = 0

x²+(2*3*x)-3²=4

Now we can write the LHS as:

(x - 3)²=2²

Hence,

x-3 can either be 2 or -2

Now,

x - 3=2

x=5

Or,

x - 3=-2

x=1

Therefore now we know that x can either be 1 or  5. So the correct answer is  Option B.

Luden [163]4 years ago
3 0

Step-by-step explanation:

x squared+6x-13=0

carry over that into the other side of the equal sign and then make the other side of the equal sign a perfect square

x squared +6x+3 squared=13+9(3 squared)

find the square root of both sides

(x+3)=class plus or minus

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Using the least number of coins how many quarters, dimes, nickels, and pennies to make $1.74
SpyIntel [72]

Let's use our largest amount (quarter) to see how many can fit evenly into 1.74.

  • 1.74/0.25 = 6.96
  • The most quarters that can fit into $1.74 is 6.

---Multiply $0.25 by 6 = $1.50

---Subtract $1.50 from $1.74 = $0.24

---We need to use the rest of the coins to fill up $0.24.

Now let's use our second largest amount (dime) to see how many can fit evenly into 0.24.

  • 0.24/0.10 = 2.4
  • The most dimes that can fit into $0.24 is 2.

---Multiply $0.10 by 2 = $0.20

---Subtract $0.20 from $0.24 = $0.04

No nickels can fit into $0.04, because they are worth $0.05.

We can use our least amount (pennies) to fill in the $0.04 remaining.

Your answer is 6 quarters, 2 dimes, and 4 pennies.

4 0
3 years ago
If loss is loss percent and cost price in CP what will be SP?​
andreev551 [17]

Answer:

SP = selling price

SP = [(100 + Gain%) / 100] * CP.

SP = [(100 – Loss %) / 100]*CP.

3 0
3 years ago
Read 2 more answers
Wildlife biologists inspect 153 deer taken by hunters and found 42 of them carrying Lyme disease ticks. Calculate and interpret
Tamiku [17]

Answer:

90 Confidence Interval for the proportion = [ 0.216,0.334]

Step-by-step explanation:

The confidence interval for proportion formula =

p ± z × √p(1 - p)/n

Where p = x/n

x = 42

n = number of samples = 153

p = 42/153

p = 0.2745098039 ≈ 0.275

z = z score of 90% confidence interval = 1.645

Confidence interval =

0.275 ± 1.645 × √0.275 - ( 1 - 0.275)/153

= 0.275 ± 1.645 × √0.0013031046

= 0.275 ± 0.0593820985

Confidence Interval

= 0.275 - 0.0593820985

= 0.2156179015

≈ 0.216

= 0.275 + 0.0593820985

= 0.3343820985

≈ 0.334

90 Confidence Interval for the proportion = [ 0.216,0.334]

8 0
3 years ago
1. Write the point-slope form of the equation of the line with a slope of 2 that
katrin2010 [14]

Answer:

y+4=2(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=2(x-4)

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3 0
3 years ago
I NEED THIS DONE TONIGHT
inysia [295]

Answer:

lol i think the answer is 5

3 0
3 years ago
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