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Basile [38]
4 years ago
8

X2 + 2 = x + 8, {1, 3, 4, 5}

Mathematics
1 answer:
dimaraw [331]4 years ago
7 0
X^2 + 2 = x + 8
x^2 - x + 2 - 8 = 0
x^2 - x - 6 = 0
(x + 2)(x - 3) = 0
x = -2 or x = 3
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The variable z is inversely proportional to x. When x is 16, z has the value 0.875. What is the value of z when x= 21?
ziro4ka [17]
For z and x to be inversely proportional, there must be some constant k such that

zx=k

Given that z=0.875 when x=16, it follows that

0.875\cdot16=k\implies k=14

Then when x=21, we have

21z=14\implies z=\dfrac{14}{21}=\approx0.667
8 0
4 years ago
What is the solution to the inequality x - 2 < -2?
7nadin3 [17]
Well the solution to this problem is x < -4
3 0
3 years ago
If the cost price of a bag is AED 2176 and its selling price is AED 2497 then find the profit
ICE Princess25 [194]

Answer:

321 AED

Step-by-step explanation:

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6 0
3 years ago
This Venn diagram shows the pizza topping preferences for 9 students. Let event A = The student likes pepperoni. Let event B = T
victus00 [196]

Answer:

P(A\ or\ B)=\frac{7}{9}

Step-by-step explanation:

We need to use the formula to calculate the probability of (A or B) where  

A=Probability a student likes pepperoni

B=Probability a student likes olive

A and B =Probability a student likes both toppings in a pizza

A or B =Probability a student likes pepperoni or olive (and maybe both), a non-exclusive or

The formula is

P(A\ or\ B)=P(A)+P(B)-P(A\ and\ B)

Since 6 students like pepperoni out of 9:

P(A) = \frac{6}{9}

Since 4 students like olive out of 9:

P(B) = \frac{4}{9}

Since 3 students like both toppings out of 9

P(A\ and\ B) = \frac{3}{9}

Then we have

P(A\ or\ B)=\frac{6}{9}+\frac{4}{9}-\frac{3}{9}

P(A\ or\ B)=\frac{7}{9}

7 0
3 years ago
Convert the angle in degrees to radians. Express your answer as a multiple of π.
Elena L [17]
Converting 25 degrees to radians:

180° = π radians.

1° =  π/180  radians.

25° =  (π/180  radians) * 25

       =    (25/180) * π  radians.

Leaving the answer in terms of π,  25/180 = 5/36

=    (25/180) * π  radians = (5/36)π  radians  or ≈ 0.1389π radians.


Therefore 25° = (5/36)π  radians  or ≈ 0.1389π radians

I hope this explains it.

I think why you did not get it was because you did not leave your answer in terms of π or as a multiple of π, so as a multiple of π our answer is:

= (5/36)π  radians  or ≈ 0.1389π radians
5 0
4 years ago
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