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Rom4ik [11]
3 years ago
15

Two students factored 2x^2 + 6x - 20. Leuko said that the factorization was (2x - 4)(x + 5). Ray gave the factorization as (x -

2)(2x + 10). Confirm that both of these factorizations are correct. Then explain why they are not complete.
Mathematics
2 answers:
shutvik [7]3 years ago
6 0

Answer:

See explanation

Step-by-step explanation:

If you FOIL both of them, you see that they are both correct, but they both need to factor out a 2 and then they will both have the same thing.

2(x - 2)(x + 5)

stich3 [128]3 years ago
5 0

Answer: To confirm the equations to be equal with the parent function we do as follows:

(2x – 4)(x + 5) = 2x^2 + 10x - 4x - 20 = 2x^2 + 6x -20

(x – 2)(2x + 10) = 2x^2 +10x - 4x -20 = 2x^2 +6x - 20

Step-by-step explanation:  Mark me as brainliest

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You can set up a proportion that looks like 3/7 = x/21. X being the number that you are trying to find. Seven goes into 21 three times. So multiply 3 also by that 3 to get 9. So three sevenths of twenty-one is 9.
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In solving a rate of increase problem,the original value is always the?
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3 0
3 years ago
Please help Im in class
atroni [7]

Answer:

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Step-by-step explanation:

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3 years ago
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Below are tabulated a number of Rockwell G hardness values that were measured on a single steel specimen. Compute
Mashcka [7]

Answer:

a) 48.408

b) 1.235

Step-by-step explanation:

a)

The average hardness value xbar can be computed as

xbar=sum of values/number of values

xbar=(46.5+46.9+49.4+50.3+49.8+48.8+47+47.7+48.3+49.4+47.8+49)/12

xbar=580.9/12

xbar=48.408 (rounded to 3 decimal places).

The average hardness value is 48.408.

b)

The standard deviation hardness value s can be computed as

s=\sqrt{\frac{sum(x-xbar)^2}{n-1} }

x              x-xbar  (x-xbar) ²

46.5  -1.90833 3.64174

46.9  -1.50833 2.27507

49.4    0.99167 0.98340

50.3     1.89167 3.57840

49.8     1.39167 1.93674

48.8    0.39167 0.15340

47.0           -1.40833 1.98340

47.7   -0.70833 0.50174

48.3           -0.10833 0.01174

49.4    0.99167  0.98340

47.8           -0.60833 0.37007

49.0    0.59167 0.35007

Total                               16.7692

s=\sqrt{\frac{16.7692}{12-1} }

s=\sqrt{\frac{16.7692}{11} }

s=\sqrt{1.5245}

s=1.2347

s=1.235 (rounded to 3 decimal places)

The standard deviation hardness value is 1.235.

4 0
3 years ago
In the diagram below, AB = BD = BC, and mZA = 24°. Find<br> mZC.
snow_tiger [21]

Answer:

m∠C = 66°

Step-by-step explanation:

Since AB = BD, it means this triangle is an Isosceles triangle and as such;

∠BAD = ∠BDA = 24°

Thus, since sum of angles in a triangle is 180,then;

∠ABD = 180 - (24 + 24)

∠ABD = 180 - 48

∠ABD = 132°

We are told that BC = BD.

Thus, ∆BDC is an Isosceles triangle whereby ∠BCD = ∠BDC

Now, in triangles, we know that an exterior angle is equal to the sum of two opposite interior angles.

Thus;

132 = ∠BCD + ∠BDC

Since ∠BCD = ∠BDC, then

∠BCD = ∠BDC = 132/2

∠BCD = ∠BDC = 66°

3 0
2 years ago
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