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Drupady [299]
3 years ago
14

Let x be a real number. Find the lowest possible value of |5x^2 - 16| + |10x - 2|.

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
4 0

Since the equations are for absolute value this means any negative number used the answer would become positive, so to get the lowest value possible x would need to equal 0, which would eliminate the x variable from the equations.

Replace x with 0 and solve:

|5(0)^2 - 16| + |10(0) - 2|

Simplify:

|0 - 16| + |0 - 2|

|-16| + |-2|

Combine:

|-18|

Absolute Value = 18

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One of the factors of the polynomial x3 + 5x2 + 6x is (x2 + 3x). What is the other factor?
butalik [34]

Answer:

x+2

Step-by-step explanation:

Dividing the poly by the known factor:

x3+5x2+6x    <u>| x2+3x</u>

-x3-3x2             x + 2  <- the answer is here

      2x2+6x

      -2x2-6x

To prove that, let's multiply the two factors and find the pylonomial back on:

(x2+3x).(x+2) = x3 + 2x2 + 3x2 + 6x = x3 + 5x2 + 6x

Tks your attention!

8 0
3 years ago
Which expression is equal to (6x−4)(3x−1)?
Natali5045456 [20]

Answer:

(6x-4)(3x-1)  = 18x^2  - 18x + 4  is the required simplification.

Step-by-step explanation:

Here, the given expression is (6x−4)(3x−1).

By DISTRIBUTIVE PROPERTY of numbers:

A ( B + C ) =  AB + AC

Simplifying the given expression, we get:

(6x-4)(3x-1) = 6x(3x-1)-4(3x-1)\\= 6x(3x)  -1(6x)  -4(3x)  +4\\=18x^2  - 6x - 12x + 4\\18x^2  - 18x + 4

or, (6x-4)(3x-1)  = 18x^2  - 18x + 4

Hence the given expression is simplified.

3 0
3 years ago
Line ab and cd (if presented in the picture) are straight lines. Find x (the pictures are not scaled)
erastova [34]

Answer:

x + 2x + 34 + 20 = 180

3 0
3 years ago
You don't have to do them all
Levart [38]

Answer:

First one is 5, second one is 6, third one is 6, the last one is 2

Step-by-step explanation:

Hope this helps an mark brainliest please!

3 0
2 years ago
Write each equation in slope-intercept form (3,4); and (-6,-2)
Alborosie

Answer:

y = 2/3x + 2

Step-by-step explanation:

Slope intercept form is y=mx+b where m is the slope and b is the y intercept.

Given 2 points you can find the slope using (y-y1)/(x-x1)

m = (-2-4)/(-6-3) = -6/-9 = 2/3

To find b use one of the points and m and plug into the slope intercept form and then solve for b.

y=mx+b

4=2/3(3) + b

4=2 + b

b=2

Now we can write the final equation as : (plug m and b back in)

y = 2/3x + 2

7 0
2 years ago
Read 2 more answers
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