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sweet-ann [11.9K]
3 years ago
15

Evaluate the expression 10x^-2y^-1 if x= -2, y = 1

Mathematics
1 answer:
Talja [164]3 years ago
6 0

10x^-2y^-1.

Plug -2 in for x and 1 in for y.

10(-2)^-2(1)^-1 = 0.25 or 1/4

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Five wholes - four fifth
Tpy6a [65]

Answer: 4 and 1/5

Step-by-step explanation:

4 and 1/5

3 0
3 years ago
Solve for x<br> X^2+6x+9=20
Masja [62]

Answer:

x = 1.47  or x = -7.47

Step-by-step explanation:

x²+6x+9=20

This is a quadratic equation

x²+6x+9-20=0

x²+6x-11=0

Step 1 : Write the quadratic formula

x = <u>-b±√b²-4(a)(c)</u>

              2a

Step 2 : Substitute values in the formula

a = 1

b = 6

c = -11

x = <u>-6±√6²-4(1)(-11)</u>

              2(1)

x = <u>-6±√80</u>

          2

x = -3 + 2√5 or x = -3 - 2√5

x = 1.47         or x = -7.47

!!

4 0
2 years ago
Read 2 more answers
What is the rate of change between (1,15) (3,45)?
Ksivusya [100]

Answer:

15

Step-by-step explanation:

Rate of change or slope or gradient of a line passes two points (x1, y1) and (x2, y2) could be calculated by:

(y2 - y1)/(x2 - x1)

=> Rate of change of the line passing (1,15) and (3,45):

(45 - 15)/(3 - 1) = 30/2 = 15

3 0
2 years ago
Determine the LCm of 15 and 20
docker41 [41]
If you just want to know what is the least common multiple of 20 and 15, it is 60. Usually, this is written as lcm(20,15) = 60
5 0
2 years ago
PLEASE HELP I WILL MARK YOU AS BRAINLEST
denpristay [2]

Answer:

(i) Five number summary: Minimum value = 1, Q_1=18,Median=18.5, Q_3=20.5, Maximum value = 26.

(ii) IQR = 2.5, upper fence = 24.25 and lower fence = 14.25.

(iii) 26 is an outlier of the data.

Step-by-step explanation:

The given data set is

19, 18, 23, 18, 18, 26, 19, 16, 20, 18, 17, 21

Arrange the data set in ascending order.

16, 17, 18, 18, 18, 18, 19, 19, 20, 21, 23, 26

Divide the data set in 4 equal parts.

(16, 17, 18), (18, 18, 18), (19, 19, 20), (21, 23, 26)

Minimum value = 16

Q_1=\frac{18+18}{2}=18

Median=Q_2=\frac{18+19}{2}=18.5

Q_3=\frac{20+21}{2}=20.5

Maximum value = 26

The inter quartile range (IQR) of the data is

IQR=Q_3-Q_1=20.5-18=2.5

Upper fence :

Q_3+1.5(IQR)=20.5+1.5(2.5)=24.25

Lower fence :

Q_1-1.5(IQR)=18-1.5(2.5)=14.25

If the any element of the data set lies out side the upper fence and lower fence, then it is called an outlier.

26 ∉ [14.25, 24.25]

Therefore, 26 is an outlier of the data.

4 0
3 years ago
Read 2 more answers
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