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Andre45 [30]
3 years ago
15

Number of real solutions? 8x^2 - 11x = -3 -4x^2 - 4 = 8x

Mathematics
1 answer:
Anna71 [15]3 years ago
3 0

(1) ANSWER

x =  \frac{3}{8}  \: or \:  x = 1

(2) ANSWER

x =  - 1

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4. The system of equations 3x – 6y = 20 and 2x – 4y = 3 is
expeople1 [14]
3x - 6y = 20
-6y = -3x + 20
y = 1/2x - 20/6.....slope = 1/2...y int = -20/6 = -10/3

2x - 4y = 3
-4y = -2x + 3
y = 1/2x - 3/4..slope = 1/2...y int = -3/4

same slope, different y int = parallel lines = no solution = inconsistent
6 0
3 years ago
Read 2 more answers
#16 plz and the answer and<br> Work plz!!!
wolverine [178]
(32/8)-18+4
4-18+4
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10
5 0
3 years ago
In a certain card game you draw one card off a standard deck of 52 cards. If you draw a spade you get paid $12, if you draw a re
Mariulka [41]

Step-by-step explanation:

In a standard deck of 52 cards, there are 2 red aces, 2 red Queens, and 13 spades.  That leaves 35 cards for everything else.

For the game to be fair, the cost must equal the expected value.  The expected value is the sum of each outcome times its probability.

C = (12) (13/52) + (20) (2/52) + (38) (2/52) + (0) (35/52)

C = 68/13

C ≈ 5.2308

4 0
3 years ago
Given the equation 4x2 − 8x + 20 = 0, what are the values of h and k when the equation is written in vertex form a(x − h)2 + k =
GenaCL600 [577]

Answer:

The correct option is:

h = 1, k = 16

Step-by-step explanation:

y=4x^2-8x+20 =0

It is a quadratic formula in standard form:

ax^2+bx+c

where a = 4 , b = -8 and c=20

The vertex form is:

a(x − h)2 + k = 0

h is the axis of symmetry and (h,k) is the vertex.

Calculate h according to the following formula:

h = -b/2a

h= -(-8)/2(4)

h = 8/8

h = 1

Substitute k for y and insert the value of h for x in the standard form:

ax^2+bx+c

k = 4(1)^2+(-8)(1)+20

k = 4-8+20

k=-4+20

k = 16

Thus the correct option is h=1, k=16....

8 0
3 years ago
how much money has to be invested at 5.9% interest compounded continuously to have 15,000 after 12 years?
Scrat [10]
Hi there

The formula is
A=pe^rt
We need to solve for p where
A future value 15000
P present value?
E constant
R interest rate 0.059
T time 12 years
So when you solve for p you get
P=A÷e^rt
P=15,000÷e^(0.059×12)
P=7,389.43

Hope it helps
6 0
3 years ago
Read 2 more answers
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