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Levart [38]
3 years ago
5

Which equation has the solutions x = 1 plus-or-minus StartRoot 5 EndRoot? x2 + 2x + 4 = 0 x2 – 2x + 4 = 0 x2 + 2x – 4 = 0 x2 – 2

x – 4 = 0
Mathematics
2 answers:
ale4655 [162]3 years ago
7 0

Answer:

x^2 - 2x - 4 = 0.

Step-by-step explanation:

Written in factor form we have:

(x - ( 1 + √5)( x - (1 - √5)) = 0

(x - 1 -√5)( x - 1 +√5)) = 0        Expanding:

x^2 - x +√5x  - x + 1 - √5 - √5x + √5 - 5 = 0

x^2 - 2x - 4 = 0.

tester [92]3 years ago
4 0

Answer: D!!!!!!!

Step-by-step explanation:

You might be interested in
find h and k such that the equation 3x^2 -hx +4k =0, so that the sum of the solutions is -12 and the product of the solutions is
Radda [10]
Let the solutions be a and b.
a = -2; b = -10
a + b = -2 + (-10) = -12
ab = (-2)(-10) = 20

(x - a)(x - b) = 0

(x - (-2))(x - (-10)) = 0

(x + 2)(x + 10) = 0

x^2 + 10x + 2x + 20 = 0

x^2 + 12x + 20 = 0

-h = 12

h = -12

4k = 20

k = 5
6 0
3 years ago
Jesse is playing a game with a number cube with faces numbered 1 through 6. What is the probability of rolling a number that is
lana [24]

Answer:

The probability of rolling a number that is even and a multiple of 3 is \frac{1}{6}

Step-by-step explanation:

The total possible  outcomes of cube = { 1, 2, 3 , 4 , 5 , 6}

Now, let E: Event of getting an even number and a multiple of 3

So, out of all the outcomes, {6) is the ONLY possible favorable outcome.

\textrm{P(E)}  =\frac{\textrm{Number of favorable outcomes }}{\textrm{Total number of outcomes}}

or, P(E) = \frac{1}{6}

Hence, the probability of rolling a number that is even and a multiple of 3 is \frac{1}{6}

8 0
3 years ago
Write the proportion and solve:
ElenaW [278]

Answer:

810 min

Step-by-step explanation:

5 miles for 45 min

90 miles for x min

x = (90*45)/5

x= 810 min = 13.5 hours

8 0
3 years ago
Read 2 more answers
What is 6a<42 and a + 4>7
ozzi

Answer:

let's start with

6a<42

a<7

Next we simplify

a+4>7

a>7-4

a>3

Step-by-step explanation:

Answer

3<a<7

6 0
3 years ago
Can someone help me with this right answer only and please explain it too
sineoko [7]

Answer:

g(6) = 71

f(11) = 62

Step-by-step explanation:

Let's solve g(6) first

Plug 6 into x

g(6) = 2(6)^2 - 1

g(6) = 2(36) - 1

g(6) = 72 - 1

g(6) = 71

Now let's solve f(11)

f(11) = 5(11) + 7

f(11) = 55 + 7

f(11) = 62

<em>Thus, out answers are 71 and 62 respectively</em>

5 0
3 years ago
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