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vfiekz [6]
2 years ago
10

Substracting 3x2+4x from 7x2+x+9 results in a polynomial. After subtracting 4x2-3x from this polynomial, the difference is ?

Mathematics
1 answer:
BaLLatris [955]2 years ago
3 0

Answer:

9

Step-by-step explanation:

So first step is to subtract 3x^2+4x from 7x^2+x+9. In setting this up you get the following expression

(7x^2+x+9)-(3x^2+4x)

Distribute the negative

7x^2+x+9-3x^2-4x

Group like terms

(7x^2-3x^2)+(x-4x)+9

Simplify:

4x^2-3x+9

Now subtract 4x^2-3x. In setting this up you get the following expression

(4x^2-3x+9)-(4x^2-3x)

Distribute the negative:

4x^2-3x+9-4x^2+3x

Group like terms

(4x^2-4x^2) + (-3x+3x) + 9

Simplify:

9

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Please help with this math problem! The intersection of GK and HL is point P. Which triangle must be an isosceles triangle? *loo
Whitepunk [10]

None of the triangles listed has two equal base angles or two equal side lengths, therefore: D. No triangle is isosceles.

<h3>Properties of an Isosceles Triangle</h3>
  • An isosceles triangle has two base angles having equal angle measure.
  • The side lengths that are opposite each of the equal base angles are also congruent to each other.

Thus, none of the triangles listed has two equal base angles or two equal side lengths, therefore: D. No triangle is isosceles.

Learn more about isosceles triangle on:

brainly.com/question/11884412

5 0
3 years ago
The distance d of a particle moving in a straight line is given by d(t) = 2t3 + 5t – 2, where t is given in seconds and d is mea
Sergeeva-Olga [200]

Answer:

(C)6t^2+5

Step-by-step explanation:

Given the distance, d(t) of a particle moving in a straight line at any time t is:

d(t) = 2t^3 + 5t - 2, $ where t is given in seconds and d is measured in meters.

To find an expression for the instantaneous velocity v(t) of the particle at any given point in time, we take the derivative of d(t).

v(t)=\dfrac{d}{dt}\\\\v(t) =\dfrac{d}{dt}(2t^3 + 5t - 2) =3(2)t^{3-1}+5t^{1-1}\\\\v(t)=6t^2+5

The correct option is C.

6 0
3 years ago
Two angles of a triangle are the same size. The third angle is 12 degrees smaller than the first angle. Find the measure the ang
lesya692 [45]

Answer:12, 84 and 84

Step-by-step explanation:

since we  know 3 angles of a triangle = 180 degrees

1 angle = 12 degrees

12 + x + x = 180

12 + 2x = 180

2x= 180 - 12

2x = 168

x = 168/2

x = 84 degrees

Hope it helps! Mark it as Braniest

5 0
2 years ago
Read 2 more answers
For the given hypothesis test, determine the probability of a Type II error or the power, as specified. A hypothesis test is to
erica [24]

Answer:

the probability of a Type II error if in fact the mean waiting time u, is 9.8 minutes is 0.1251

Option A) is the correct answer.

Step-by-step explanation:

Given the data in the question;

we know that a type 11 error occur when a null hypothesis is false and we fail to reject it.

as in it in the question;

obtained mean is 9.8 which is obviously not equal to 8.3

But still we fail to reject the null hypothesis says mean is 8.3

Hence we have to find the probability of type 11 error

given that; it is right tailed and o.5, it corresponds to 1.645

so

z is equal to 1.645

z = (x-μ)/\frac{S}{\sqrt{n} }

where our standard deviation s = 3.8

sample size n = 50

mean μ = 8.3

we substitute

1.645 = (x - 8.3)/\frac{3.8}{\sqrt{50} }

1.645 = (x - 8.3) / 0.5374

0.884023 = x - 8.3

x = 0.884023 + 8.3

x = 9.18402

so, by general rule we will fail to reject the null hypothesis when we will get the z value less than 1.645

As we reject the null hypothesis for right tailed test when the obtained test statistics is greater than the critical value

so, we will fail to reject the null hypothesis as long as we get the sample mean less than 9.18402

Now, for mean 9.8 and standard deviation 3.8 and sample size 50

Z =  (9.18402 - 9.8)/\frac{3.8}{\sqrt{50} }

Z = -0.61598 / 0.5374

Z = - 1.1462 ≈ - 1.15

from the z-score table;

P(z<-1.15) = 0.1251

Therefore, the probability of a Type II error if in fact the mean waiting time u, is 9.8 minutes is 0.1251

Option A) is the correct answer.

8 0
3 years ago
5x + 2y = 7 y = x + 1 What is the solution set of the given system? {(5/7, 12/7)} {(12/7, 5/7)} {(9/7, 16/7)} {(16/7, 9/7)}
Rama09 [41]

5x+2y=7

y=x+1

5x+2(x+1) =7

5x +2x+2=7

7x +2 =7

7x = 5

x = 5/7

y=5/7 +1

y =12/7

(5/7, 12/7)

5 0
3 years ago
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