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rjkz [21]
3 years ago
10

Solve for x. x^2 + 4x + 45 = 0

Mathematics
2 answers:
Hatshy [7]3 years ago
7 0

Answer:

The correct answer is -5 and -9

Step-by-step explanation:

To find the answer here, first factor the equation.

x^2 + 4x + 45 = 0

(x + 9)(x + 5) = 0

Now set each parenthesis equal to 0 and solve.

x + 9 = 0

x = -9

x + 5 = 0

x = -5

Verdich [7]3 years ago
4 0

x2+4x−45=0

Factor x2+4x−45

using the AC method.

Tap for more steps...

(x−5)(x+9)=0

Set x−5

equal to 0 and solve for x

.

Tap for more steps...

x=5

Set x+9

equal to 0 and solve for x

.

Tap for more steps...

x=−9

The solution is the result of x−5=0

and x+9=0

.

x=5,−9



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Rom4ik [11]

Answer:

x = 22

x = 4,6

Step-by-step explanation:

3x - 22 = 44

3x = 44 + 22

3x = 66

x = 66/3

x = 22

5/6 = 10/2x - 3

5/6 + 3 = 10/2x

5/6 + 18/6 = 10/2x

23/6 = 10/2x

23/6 * 2 = 10x

46 = 10x

x = 46/10

x = 4,6

5 0
3 years ago
PLEASE HELP ME. <br> Show Work.<br> Use two unit multipliers to convert 70 meters to inches.
ryzh [129]
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4 0
3 years ago
Solve the system. Enter the smallest x-coordinate first
pentagon [3]

y= 3 \,\,,\,\,x= -2 \,\,and\,\, y=3\,\,,\,\, x=2

Step-by-step explanation:

Solving the following system of equations:

x^2-y=1\\2x^2+y^2=17

Let

x^2-y=1\,\,\,(1)\\2x^2+y^2=17\,\,\,(2)

Putting value of x^2 in eq(2)

x^2 = 1+y\\Putting\,\,value\,\,of\,\,x^2\,\,in\,\,eq(2)\\2(1+y)+y^2=17\\2+2y+y^2=17\\y^2+2y+2-17=0\\y^2+2y-15=0\\Factorizing:\\y^2-3y+5y-15=0\\y(y-3)+5(y-3)=0\\(y+5)(y-3)=0\\y+5=0 \,\,and \,\, y-3=0\\y = -5  \,\,and \,\, y=3

Now, finding value of x

Putting y=-5

x^2 = 1+y\\x^2=1-5\\x^2=-4\\Taking\,\,square\,\,root\\x= \pm2i

y=-5, x= 2i and y=-5 , x= -2i

Since we need to find x and y coordinates and its value cannot be in terms of i so we will not consider these as answer

Putting y=3

x^2 = 1+y\\x^2=1+3\\x^2=4\\Taking\,\,square\,\,root\\x= \pm2

So, y= 3 \,\,,\,\,x= -2 \,\,and\,\, y=3\,\,,\,\, x=2

Keywords: system of equations

Learn more about system of equations at:

  • brainly.com/question/6075514
  • brainly.com/question/13168205
  • brainly.com/question/7361044

#learnwithBrainly

8 0
3 years ago
The numerical course grades in a statistics course can be approximated by a normal model with a mean of 70 and a standard deviat
Naily [24]

Answer:

A = 82.82

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First, determine the percentile at which the cutoff grade in each letter grade interval falls on and find the equivalent z-score:

A: (100-10) = 90-th percentile

z-score = 1.282

B: (100-10-30) = 60-th percentile

z-score = 0.253

C : (100-10-30-40) = 20-th percentile

z-score = -0.842

D: (100-10-30-40-15) = 5-th percentile

z-score =  −1.645

The value 'X' for each cutoff can be found by applying the z-score equation:

z= \frac{X- \mu }{SD}

Where μ is the mean and SD is the standard deviation

Therefore, the cutoffs are:

1.282= \frac{X(A)- 70}{10}\\X(A) = 10*1.282 +70\\X(A) = 82.82\\\\0.253 = \frac{X(B)- 70}{10}\\X(B) = 10*0.253 +70\\X(B) = 72.53\\\\0.253 = \frac{X(C)- 70}{10}\\X(C) = 10*-0.842 +70\\X(C) = 61.58\\\\0.253 = \frac{X(D)- 70}{10}\\X(D) = 10*-1.645 +70\\X(D) = 53.55\\

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3 years ago
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rosijanka [135]

Answer:

less

Step-by-step explanation:

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8 0
3 years ago
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