MATHEMATICS HIGH SCHOOL

Discriminant to determine the nature of the roots of x2 + 2x + 5 = 0. a) No real roots
b) One real root
c) Two distinct real roots

Answers

Answer 1
Answer: discrimant = b^2 - 4ac = 2^2 - (4 x 1 x 5) = 4 - 20 = -16
Therefore, there is no real roots.

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Hy! (√2+1)²+(3-√3)²-(√5+1)²=???
Thank yours!:*

Answers

(\sqrt2+1)^2+(3-\sqrt3)^2-(\sqrt5+1)^2=\n2+2\sqrt2+9-6\sqrt3+9-(5+2\sqrt5+1)=\n20+2\sqrt2-6\sqrt3-5-2\sqrt5-1=\n14+2\sqrt2-6\sqrt3-2\sqrt5

What is the constant of variation for the quadratic variation?x 2 3 4 5 6
y 20 45 80 125 180
A.5
B.10
C.15
D.25

Answers

Given:
x  =   2     3     4      5     6
y  = 20 ; 45 ; 80; 125;180

The constant variation for the quadratic variation is 5.

y = 5x²
y = 5(2²) = 5(4) = 20
y = 5(3²) = 5(9) = 45
y = 5(4²) = 5(16) = 80
y = 5(5²) = 5(25) = 125
y = 5(6²) = 5(36) = 180

For the data in the table does y vary directly with x? If it does write an equation for the direct variation X Y
16 4
32 16
48 36

A)yes; y=2x
B)yes; y=1/4x
C)yes; y=1/8x
D) No; y does not vary directly with x

Answers

Answer:

D) No; y does not vary directly with x.

Step-by-step explanation:

We can affirm that y varies directly with x, that is, that y is directly proportional to x if they fulfill the following condition.

y/x = k

where,

k is a constant number

We have 3 ordered pairs:

a) (16, 4)

b) (32, 16)

c) (48, 36)

If we perform y/x for each ordered pair,

a) 4/16 = 0.25

b) 16/32 = 0.50

c) 36/48 = 0.75

Since y/x is not constant, y does not vary directly with x.
I think the answer is D because when I try to solve them they don't equal each other

in an equation y varies directly as x varies. if y = 55 when x = 22, what is the value of x when y = 85?​

Answers

Answer:

x=34

Step-by-step explanation:

If you put Y and X into a ratio then it will be

5:2

because since their GCF is 11, then we will have to divide both of the numbers by 11.

If y=85 then that means that it was multiplied by 17. If we want them to stay within the same ratio, then we will have to multiply X (2) by 17.

That will get you 34.

Jose wants to purchase a bike that normally sells for $150. If the bike is on sale for 30% off, how much will he pay before tax?

Answers

$150 x .30= $45
$150-$45= $105
before tax it will be $105

what is the probability of choosing a point inside a cylinder but not inside the cone that has the same base and height as the cylinder

Answers

The\ cone\ that\ has\ the\ same\ base\ and\ height\ as\ the\ cylinder\nstates\ (1)/(3)\ of\ the\ cylinder.\n\nThe\ probality\ of\ choosing\ a\ point\ inside\ a\ cylinder\ not\ inside\nthe\ cone\ is\ equal\ to\ (2)/(3).
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