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mel-nik [20]
3 years ago
14

How would you solve this equation? How would you solve this balance problem? How are they similar??? 16 = 4 + 2x

Mathematics
1 answer:
AysviL [449]3 years ago
3 0

Answer:

6

Step-by-step explanation:

Step 1:

16 = 4 + 2x

Step 2:

12 = 2x

Answer:

6 = x

Hope This Helps :)

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Type the correct answer in the box. Rewrite the quadratic equation in the form y = a(x − h)2 + k. y=5x^2-30x+95
S_A_V [24]

Answer:

y = 5(x - 3)^2 + 50

Step-by-step explanation:

The problem wants you to rewrite the quadratic equation in the vertex form y = a(x - h)^2 + k

You are given a quadratic equation in standard form (ax^2 + bx = c).

To convert from standard form to vertex form, there are two ways but I will show you the easier(?) way.

Use the formula x = -b/2a to find the x-value (h) of the vertex. Note that the vertex in "vertex form" is (h, k) which is virtually the same as (x, y).

In y = 5x^2 - 30x + 95, a = 5, b = -30, and c = 95. Substitute a and b into the formula -b/2a.

  • -(-30) / 2(5)

Two negative make a positive, so -(-30) becomes 30 and 2 times 5 is 10. Now we have:

  • 30/10 which simplifies down to 3.

The x (h) value of the vertex is 3. To find the y-value, substitute 3 into the original standard form equation.

  • y = 5(3)^2 - 30(3) + 95
  • = 5(9) - (90) + 95
  • 45 - 90 + 95
  • 50

The y (k) value of the vertex is 50. Now we have: (h, k) ⇒ (3, 50).

Substitute the values for h and k into the vertex form.

  • y = a(x - 3)^2 + 50

We still need the a-value, and this is easy to find. You take the a value from the original standard for equation (remember: <u>a</u>x^2 + bx + c)

So our a-value is 5. Now we can substitute this value into the vertex form and complete the question.

y = 5(x - 3)^2 + 50

6 0
3 years ago
The ratio of the measure of two supplementary angles is 15:21. What is the measure of the smallest angle?
anyanavicka [17]

Answer:

75

Step-by-step explanation:

The measure of two supplementary angles =  15:21

The angles are  15x , 21x

15x + 21x = 180       {Supplementary}

         36x = 180

             x = 180/36

             x = 5

Smallest angle = 15 * 5 = 75

3 0
3 years ago
Solve for x<br> 2800 = 400.210x
dusya [7]

Answer:

2800=400.21x

x = 6.996327

3 0
3 years ago
What is an absolute value? What does it do? When would we need to use an absolute value
Nana76 [90]
Absolute Value Absolute Value means ...

... only how far a number is from zero:

<span> <span><span> </span> <span> <span> "6" is 6 away from zero,
and "−6" is also 6 away from zero. So the absolute value of 6 is 6,
and the absolute value of −6 is also 6 </span> </span> </span></span>

More Examples:

<span><span>The absolute value of −9 is 9</span><span>The absolute value of 3 is 3</span><span>The absolute value of 0 is 0</span><span>The absolute value of −156 is 156</span></span> No Negatives!

So in practice "absolute value" means to remove any negative sign in front of a number, and to think of all numbers as positive (or zero).

Absolute Value Symbol

To show that we want the absolute value of something, we put "|" marks either side (they are called "bars" and are found on the right side of a keyboard), like these examples:

<span> <span><span> |−5| = 5 |7| = 7 </span> </span></span> Sometimes absolute value is also written as "abs()", so abs(−1) = 1 is the same as <span>|−1| = 1</span>
3 0
3 years ago
Read 2 more answers
sheila has 5 times as many markers as dave together they have 18 markers. How many markers does shelia have
wel
Shelia has 15 markers
6 0
3 years ago
Read 2 more answers
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