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Kamila [148]
3 years ago
13

Show your work” below and solve the given equation for x showing all your steps.

Mathematics
1 answer:
mixas84 [53]3 years ago
4 0

Answer:

<em>x=</em><em>-</em><em>1</em><em>3</em>

Step-by-step explanation:

21-3.5x+14=7-7.5x-24

21+14-3.5x=7-24-7.5x

35-3.5x=-17-7.5x

35+17=3.5x-7.5x

<u>5</u><u>2</u>=<u>-4x</u>

-4. -4

x=-13

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If LN=54 and LM=31, find MN
kirza4 [7]
In this item, it is unfortunate that a figure, drawing, or illustration is not given. To be able to answer this, it is assumed that these segments are collinear. Points L, M, and N are collinear, and that L lies between MN. 

The length of the whole segment MN is the sum of the length of the subsegments, LN and LM. This can be mathematically expressed,
             LN + LM = MN

We are given with the lengths of the smalller segments and substituting the known values,
             MN = 54 + 31
            MN = 85

<em>ANSWER: MN = 85</em>
7 0
3 years ago
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What is 5x5x3x5x3x2 simplified using exponents
8090 [49]

Answer: 5 to the 3rd times 3 to the second times 2

Step-by-step explanation:

8 0
3 years ago
1<br>Determine the value of k if g(x)=4x+k is a tangent to f(x)=-x²+8x+20​
tangare [24]

Answer:

k=24

Step-by-step explanation:

The tangent of the function f at x=a, can be found by differentiating f w.r.t. x and then replacing x with a.

f=-x^2+8x+20

Differentiating both sides:

f'=(-x^2+8x+20)'

By sum rule:

f'=(-x^2)'+(8x)'+(20)'

By constant multiple rule:

f'=-(x^2)'+8(x)'+(20)'

By constant rule:

f'=-(x^2)+8(x)'+0

By power rule:

f'=-2x+8

f' at x=a is -2a+8

This is the slope of any tangent line to the curve f.

The slope of g is 4 if you compare it to slope intercept form y=mx+b.

So we gave -2a+8=4.

Subtracr 8 on both sides: -2a=-4

Divide both sides by -2: a=2

The tangent line to the curve at x=2 is y=4x+k.

To tind y we must first know the y-coordinate of the point of tangency.

If x=2, then

f(2)=-(2)^2+8(2)+20=-4+16+20=12+20=32

So the point is (2,32).

g(x)=4x+k and we know g(2)=32.

This gives us:

32=4(2)+k

32=8+k

k=32-8

k=24

6 0
2 years ago
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babymother [125]

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Step-by-step explanation:

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3 years ago
Equivalent expression 5.4 x 10 to the 5th power - 1.4 x 10 to the 4th
AlladinOne [14]

 

<h2>5.4 × 10⁵ - 1.4 × 10⁴ = 540,000 - 14,000 = 526.000</h2><h2 /><h2 />
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