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stich3 [128]
2 years ago
15

Solve the equation 12(-11x + 5) + 7 = 2 (x-9) - 451 algebraically. Answer as a reduced fraction only.

Mathematics
1 answer:
Pachacha [2.7K]2 years ago
6 0

The value of x in the equation is 4.2.

<h3>How to calculate the value?</h3>

It should be noted that the equation given is:

12(-11x + 5) + 7 = 2 (x-9) - 451

This will be computed thus:

12(-11x + 5) + 7 = 2 (x-9) - 451

-132x + 60 + 7 = 2x - 28 - 451

Collect like terms

-132x - 2x = - 28 - 451 - 60 - 7

-130x = -546

Divide

x = 546/130

x = 4.2

The value of x in the equation is 4.2.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

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Does this graph has a minimum or maximum y=4x^2+4
Lorico [155]

Answer:

It has a minimum and no maximum.

Step-by-step explanation:

This is the graph of a parabola that opens up, so it has a minimum but no maximum.

7 0
3 years ago
Prove the identity (n-5)^2 - (6n-35)=(n-10)(n-6)
elena-14-01-66 [18.8K]

Answer:

(n-5)^2 - (6n-35)=(n-10)(n-6)

-----------

  • n²-10n+25-6n+35 =
  • n²-16+60 = n²- 10n - 6n + 60 =
  • n(n-10) - 6(n-10) =
  • (n-10)(n-6)
7 0
3 years ago
A fair four-sided spinner has the numbers 1 to 4 marked on its sides. It is spun twice and the two scores are added together.
scZoUnD [109]

Answer:

Probability of getting doubles = 1/4

Step-by-step explanation:

Given - A fair four-sided spinner has the numbers 1 to 4 marked on its sides. It is spun twice and the two scores are added together.

To find - Using a sample space diagram, find the probability of getting a double.

Proof -

Given that,

A four-sided spinner is spin twice.

So,

The Sample Space becomes

S = { (1, 1), (1, 2), (1, 3), (1, 4)

       (2, 1), (2, 2), (2, 3), (2, 4)

       (3, 1), (3, 2), (3, 3), (3, 4)

       (4, 1), (4, 2), (4, 3), (4, 4) }

So,

n(S) = 16

Now,

Let A is the event Getting a double, So,

A = { (1, 1), (2, 2), (3, 3), (4, 4) }

and

n(A) = 4

So,

The Probability of getting doubles = n(A) ÷ n(S)

                                                         = 4 ÷ 16

                                                         = 1/4

∴ we get

Probability of getting doubles = 1/4

6 0
3 years ago
Find the area of a circle with diameter 12 cm
andreyandreev [35.5K]

Answer:

113.143 cm²

Step-by-step explanation:

Radius=diameter/2=12/2=6 cm

Now

Area of a circle=πr²

=(3.16)(6)²

=(3.16)(36)

=113.143 cm²

7 0
3 years ago
Read 2 more answers
Derrick withdrew $17 from his account on Monday. The next day he
matrenka [14]

Answer:

<em>The total change in his account is represented by the integer -5</em>

Step-by-step explanation:

<u>Operations With Integers</u>

We need to perform addition and subtraction to complete the answer to this problem.

Derrick first withdrew $17 from his account. Since the money is coming out from the account, it's considered as negative. Thus this operation is recorded as -$17.

The next day he deposited $12, which is considered as positive. This operation is considered as $12 or +$12.

The net operation or total change in the account is: -$17 + $12.

Subtracting and simplifying: -$17 + $12 = -$5

The total change in his account is represented by the integer -5

5 0
3 years ago
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