What is the solution?. 1/2x2 – x + 5 = 0

Answers

Answer 1

Answer: 1/2 x^2 - x + 5 = 0
Multiply through by 2 to get:
x^2 - 2x + 10 = 0
$x= (-b\pm√(b^2-4ac))/(2a)$ ; where a = 1, b = -2 and c = 10
$x=(-(-2)\pm√((-2)^2-(4*1*10)))/(2*1)\n=(2\pm√(4-40))/(2)\n=(2\pm√(-36))/(2)\n=(2\pm6i)/(2)\n=1\pm3i$
Therefore, x = 1 + 3i or x = 1 - 3i

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4 rational numbers between 3/8 and 2/5

Answers

Step-by-step explanation:

3/8 = 15/40= 75/200

2/5 = 16/40 = 80/200

-> 4 rational numbers between 75/200 and 80/200 are 76/200, 77/200, 78/200, 79/200

mike is taking a his social studies test . mike was only able to finish 1/6 of the test in 1/2 hour. how long will it take him to finish the test?

Answers

$1-(1)/(6)=(5)/(6)\n\n\begin{array}{ccc}(1)/(6)\ of\ the\ test&-&(1)/(2)\ h\n\n(5)/(6)\ of\ the\ test&-&x\ h\end{array}\ \ \ \ |cross\ multiply\n\n\n(1)/(6)x=(1)/(2)\cdot(5)/(6)\n\n(1)/(6)x=(5)/(12)\ \ \ \ \ |multiply\ both\ sides\ by\ 6\n\n\boxed{x=(5)/(2)=2.5\ (h)}\leftarrow time\ he\ will\ have\ to\ do\ the\ test\n\n\ntotal\ test\ time:2.5\ h+0.5\ h=3\ h$

1/2*6 = 3. It will take him 3 hours to finish his test if he continues on the same rate

Zina spends 1.5 hours setting up her sewing machine and making one hat. The total amount of time spent making hats can be represented by the sequence below.1.5, 2.25, 3.0, 3.75, ...

Which recursive formula can be used to determine the total amount of time spent making hats based on the total amount of time spent previously?

A. f(n + 1) = f(n) + 1.5
B. f(n + 1) = f(n) + 0.75
C. f(n + 1) = f(n)
D. f(n + 1) = f(n)

Answers

Let

$f(1)=1.5\n f(2)=2.25\n f(3)=3\n f(4)=3.75$

we know that

$f(2)-f(1)=2.25-1.5=0.75\n f(2)=f(1)+0.75\n \n f(3)-f(2)=3-2.25=0.75\n f(3)=f(2)+0.75\n \n f(4)-f(3)=3.75-3=0.75\n f(4)=f(3)+0.75\n \n.\n.\n.\n f(n+1)=f(n)+0.75$

This is an arithmetic sequence, the common difference is equal to $0.75$

therefore

the answer is the option

B. f(n + 1) = f(n) + 0.75

It would be f(n+1) = f(n)+0.75

So, OPTION B IS YOUR ANSWER.........

Which of the following is the inverse of y=3x

Answers

Answer:

$y=(1)/(3)x$

Step-by-step explanation:

Given: $y=3x$

We need to find the inverse of given function.

If $y=f(x)$ is a function then inverse [/tex] x=f^{-1}(x)[/tex]

Inverse function is symmetry about the line y=x

Step 1: switch x and y

$x=3y$

Step 2: solve for y

divide both sides by 3

$y=(1)/(3)x$

Inverse function: $f^(-1)(x)=(1)/(3)x$

Hence, The inverse function is $y=(1)/(3)x$

y/3=x or y divided by 3 is equals x. They are the same thing just but the equation in word form.

ANYONE???????? PLZ HELP ASAP:Indicate in standard form the equation of the line through the given points.
K(6, 4), L(-6, 4)

Can you lead me through the steps because I'm not getting this at all...

Answers

Equation of a straight line: y = mx + c. m is the gradient while c is the y-intercept.
gradient m = (y2 - y1) / ( x2 - x1)
from the given coordinates, x1 = 6, x2 = -6, y1= 4, y2 = 4
m = (4 - 4) / ( -6 - 6) = 0/12 = 0
to find y- intercept, we solve for c using any of the given coordinates.
4 = 0x + c
c = 4
the equation of the line: y = 0x + 4
Standard form = ax + by = c
0x + y = 4
y = 4

Which is the best description for the graph? A.The graph is increasing everywhere. B.The graph is decreasing everywhere. C.The graph is increasing, then decreasing. D.The graph is decreasing, then increasing.

Answers

Answer:

B. The graph is decreasing everywhere

Step-by-step explanation:

The parent function of the graph is f(x) = x³, and the child graph is f(x) = -x³.

Even by the look of the graph, not in one place is the graphing increasing; it is all decreasing.

Answer:

Step-by-step explanation:

its decreasing

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