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3 years ago

ILL GIVE BRAINLIES!!!! Please explain! Thank you!

Mathematics

2 answers:

givi [52]3 years ago

8 0

Answer:

I think A but sorry i might be wrong

Step-by-step explanation:

Misha Larkins [42]3 years ago

7 0

Answer:

she already has the $50, making that the independent variable. she gets $6 every time she goes to the neighbors, making it the dependent variable (dependent on how many times she goes to the neighbors) so the equation would be y= 50 + 6x or D

Step-by-step explanation:

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Can you please help me with these piece wise function things

julsineya [31]

Plug the domain into the function and the y values you get will be [0, 7) and [5,11)
Putting the ranges for each piece together, the lowest number in the range is 0 and the highest number is 11. The zero is included since the inequality sign was ansl equal to. The 11 is not included since it was not equal to.
[0,11) is the range.
Letter A

8 0

4 years ago

Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options.

MakcuM [25]

Answer:

8(x2 + 2x) = –3

8(x2 + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

Step-by-step explanation:

Solving Quadratic Equations

Sometimes it's preferred to solve quadratic equations without the use of the known quadratic formula solver. One of the most-used methods consists of completing squares and solving for x.

We have the equation

$\displaystyle 8x^2+16x+3=0$

We separate variables from constants

$\displaystyle 8x^2+16x=-3$

Taking the common factor 8

$\displaystyle 8(x^2+2x)=-3$

Completing squares in the brackets and balancing the equation in the right side

$\displaystyle 8(x^2+2x+1)=-3+8$

Factoring the perfect square

$\displaystyle 8(x+1)^2=5$

Isolating x

$\displaystyle (x+1)^2=\frac{5}{8}$

$\displaystyle (x+1)=\pm \sqrt{\frac{5}{8}}$

$\displaystyle x=-1\pm \sqrt{\frac{5}{8}}$

We can clearly see the steps used to solve the quadratic equation are (in order and written like in the question)

8(x2 + 2x) = –3

8(x2 + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

7 0

3 years ago

Read 2 more answers

What is the slope of a line that is perpendicular to the line v=-1/3x-6

bija089 [108]

If you are trying to find the slope of a line that is perpendicular to another line, you would need to change the sign and change it to the fraction's reciprocal.

m = $-\frac{1}{3}$

Change the sign of the slope:

$\frac{1}{3}$

Finally, make the reciprocal of the original slope (switching the numerator and denominator):

$\frac{3}{1}$

Simplify:

Final answer:

$m=3$

7 0

3 years ago

Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

Using first principle, this gives:

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

Hence, the smallest sum is 2

3 0

3 years ago

Find the condition that one root of the quadratic equation may be 1 more than the other.

Eddi Din [679]

Let p, np be the roots of the given QE.So p+np = -b/a, and np^2 = c/aOr (n+1)p = -b/a or p = -b/a(n+1)So n[-b/a(n+1)]2 = c/aor nb2/a(n+1)2 = cor nb2 = ac(n+1)2
Which will give can^2 + (2ac-b^2)n + ac = 0, which is the required condition.

4 0

4 years ago