|5x-3| = 10 What are the solutions?

Classify the following triangle check all that apply

Oksanka [162]

You did not attach an image

6 0

4 years ago

Which real number property is illustrated here? *

liubo4ka [24]

Answer:

Commutative property of multiplication

8 0

3 years ago

You wish to test whether the number of fouls called in regular season games is different than during the NCAA tournament. The me

kolezko [41]

Answer:

the lower value of the interval = 35.26

Step-by-step explanation:

The mean number is u = 40.1

n = 16

the mean number called x is 38.1

the standard deviation = 5.8

given a 95% Confidence Interval

The lower value of the confidence interval is?

solution

There is a inﬁnite population and the standard deviation of the population is known,

the below formula is used for determining an estimate of the conﬁdence limits of the population mean, i.e.

x ± ( zₐσ)/ √n

For a 95% conﬁdence level, the value of za is taken from the confidence interval table = 1.96.

the conﬁdence limits of the population=

x ± ( zₐσ)/ √n

38.1 ± (1.96*5.8)/ √16

38.1 ± 11.368/4

38.1 ± 2.842

40.942 or 35.258

Thus, the 95% conﬁdence limits are 40.942 or 35.258

this prediction is made with conﬁdence that it will be correct nine five times out of 100.

finally, the lower value of the interval = 35.26

7 0

4 years ago

Factor the polynomial function over the complex numbers?? F(x)= x^4 -x^3-2x-4

pav-90 [236]

Answer: The factor form of the function F(x) is $(x+1)(x-2)(x^2+2)$ , where $(x^2+2)$ gives two complex roots.

Explanation:

The given function is,

$F(x)=x^4-x^3-2x-4$

According to the rational root theorem 1 and -1 are the possible roots of each polynomial.

Put x=-1

$F(-1)=(-1)^4-(-1)^3-2(-1)-4=0$

Since the value of F(x) is 0 at x=-1 therefore the -1 is a root of given polynomial and (x+1) is a factor of F(x).

Use synthetic division method to divide the polynomial by (x+1).

The last row of the synthetic division shows the coefficient of remaining polynomial.

$F(x)=x^4-x^3-2x-4=(x+1)(x^3-2x^2+2x-4)$

At x=2 the value of F(x) is 0, therefore (x-2) is a factor of F(x).

Use synthetic division method to divide the polynomial by (x-2).

$F(x)=(x+1)(x-2)(x^2+2)$

Therefore the roots of F(x) are,

$-1,2,\pm i\sqrt{2}$

$F(x)=(x+1)(x-2)(x+i\sqrt{2})(x-i \sqrt{2} )$

Where $(x+1)(x-2)$ factors with real root and $(x+i\sqrt{2})(x-i \sqrt{2} )$ are factors with complex roots.

8 0

3 years ago

15 points!! I need 10-18 if you know any please help me out!!

Mila [183]

Step-by-step explanation:

10.

angle QUR must be 180-41 = 139°

the reason : all angles on one side of the line QS around a single point (like U) must be 180°, as this represents a half-circle.

11.

the angle RUQ is larger.

the angle TUS is 90°.

therefore, SUN is 90° too. as well as TUQ and QUN.

the angle TUR is then TUS + 41 = 90+41 = 131°

and we know from 10. that QUR (or RUQ) is 139°.

therefore, RUQ is larger.

12.

when 2 lines cross, then the diagonally opposing angles are identical.

therefore,

84 = 4x

x = 21

13.

the same principle as in 10. applies.

all angles in one side of a line around a single point must be 180°.

so,

KMH + 84 = 180

KMH = 96°

14.

EBD = 90°

therefore, also ABE = 90°.

and we can imagine that BE extends straight to the other side of B having a point G there.

and then ABG = DBG = 90° as well.

and because these 90° angles and the principle of 12., we have

ABF = CBD = 90-62 = 28°

therefore,

CBE = CBD + DBE = 28 + 90 = 118°.

15.

ABF = 28°

as we calculated that in 14 already.

16.

due to the principles of 14 and 10 we have

CBA = 180 - CBD = 180 - 28 = 152°.

17.

this is not relevant to any of the pictures before.

angle A = angle B + 4

complementary angles are together 90°.

so,

A + B = 90

now we use the identity of the first equation in this main equation :

(B + 4) + B = 90

2B + 4 = 90

2B = 86

B = 43°

=>

A = B + 4 = 43 + 4 = 47°

18.

again, this is not related to any of the pictures before.

supplementary angles are together 180°.

D = 5E

D + E = 180

5E + E = 180

6E = 180

E = 30°

=>

D = 5E = 5×30 = 150°

5 0

3 years ago