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adell [148]
3 years ago
11

1. 2x + 4 = 3(x – 2) + 1

Mathematics
1 answer:
sweet [91]3 years ago
8 0
Please, do not post more than 1 or 2 questions at a time.  Out of courtesy I will address one of your six questions here:

<span>2x + 4 = 3(x – 2) + 1

You are to solve this for x.

1) perform the multiplication:     </span><span>2x + 4 = 3x - 6 + 1
2) combine like terms:                4+6-1 = x
3) solve for x:                              x = 11
4) check:  Is 2(11) + 4 = 3(11-2) + 1 true?
   Is 22+4 = 33-6 true?  NO.  Try again, looking for the mistake:

</span><span>2x + 4 = 3(x – 2) + 1  =>   2x + 4 = 3x - 6 + 1
                                                  4 = x - 5
                                                  9 = x

Check:  Is 2(9) + 4 = 3(9-2) + 1 true?  Is 18+4 = 22 true?  YES.
The solution to #1 is  x = 9  (answer).

Submit your other questions separately, please.

</span>
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Which expression is equivalent to (73)-2
padilas [110]

Answer:

73*-2 =-146 you have to multiply the 73 to the -2

Step-by-step explanation:

6 0
2 years ago
In 3 years, Dianna will be 4 times as old as she was 33 years ago. How old is Dianna now? Choose the most logical value for the
Masteriza [31]
<span>Today's age = x

4(x - 33) = x + 3
4x - 132 = x + 3
4x - x = 3 + 132
3x = 135
x = 135/3
x = 45

Answer:
Dianna is 45 years old now.

</span>
7 0
3 years ago
A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the sma
RSB [31]

Answer:

A.

Step-by-step explanation:

<em>NOTE: The "larger number" will be referred to as y, and the "smaller number" will be referred to as x.</em>

"A number, y, is equal to twice the sum of a smaller number and 3."

This tells us that we must add our smaller number (x) to 3 within parantheses and then multiply the entire term (x+3) by 2.

y=2(x+3)

"The larger number is also equal to 5 more than 3 times the smaller number."

This tells us that we must multiply 3 against our smaller number (x) and add 5 to it.

y=3x+5

Now, to find your answer, we can put the equations in the same form as the answer choices so as to find an equivalent equation. Lets start with the first equation.

This form calls for us to have our x term first, then our y term, then our constant.

y=2(x+3)\\y=2x+6\\-2x+y=6

Now that we've gotten the equation in that form, we can see that our answer choices hold that our leading co-efficient must be positive, which we can adjust for by dividing both sides by -1.

-2x+y=6\\2x-y=-6

This makes the only possible answer choices (A) and (C).

Now, lets do our second equation. The recipe calls for the same form, again with a positive leading coefficient.

y=3x+5\\-3x+y=5\\3x-y=-5

This is only represented by choices (A) and (B).

Therefore, answer choice (A) is the only one which represents both equations.

7 0
3 years ago
Matthew bought 12 roses for his mother. Exactly 1 of the roses were white. How many of the roses were white?
insens350 [35]
<h3>hello!</h3>

What is \sf{\displaystyle\frac{1}{4}} of 12?

In order to find it, we should divide 12 by 4:-

3

Now, solve our word problem:-

Matthew bought 12 roses. \sf{\displaystyle\frac{1}{4} } of these roses were white.

And we already know how to solve this problem :)

Hence,

\bigstar{\boxed{\pmb{3~of~the~roses~were~white}}}

<h3>note:-</h3>

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

8 0
1 year ago
Factor completely x2 + 25
Ganezh [65]

Answer:

(x - 5i)(x + 5i)

Step-by-step explanation:

Write this as x^2 + 25.  Solving for x^2, we get x^2 = -25.

Recall that the square root of a negative number is an imaginary one.  √(-25) equals ±5i (there are two roots, one positive and one negative).

Then x = ±5i.

In factored form, the given expression is (x - 5i)(x + 5i).

6 0
3 years ago
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