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vitfil [10]
3 years ago
7

The linear equation when b= 5 and m = -2 is O y = 5x – 2. Oy= 5x + 2. y = -2x - 5. O y = -2x + 5​

Mathematics
1 answer:
blondinia [14]3 years ago
5 0

Answer:

y = -2x + 5

General Formulas and Concepts:

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define given</u>

y-intercept <em>b</em> = 5

Slope <em>m</em> = -2

<u>Step 2: Write function</u>

y = -2x + 5

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A local charity holds a carnival to raise money. In one activity, participants make a $3 donation for a chance to spin a
g100num [7]

Answer:

The  median of the distribution is (first option);

1

Step-by-step explanation:

The values on the given table are presented as follows;

\begin{array}{cccccc}Value \ of \ Spin&0&1&2&5&10\\Probability&0.4&0.2&0.2&0.1&0.1\end{array}

To find the median, we calculate the cumulative probabilities to find the value of the spin art which the cumulative probability is 0.5 as follows;

Cumulative probability, starting from the left, is therefore;

Probability for spin of 0, 0.4 + Probability for spin of 1, 0.2 = 0.6

Therefore, given that the probability of 0.5 occurs within the Value of Spin 1, the median of the probability distribution is 1

3 0
3 years ago
The store offers a 20% discount. If the regular price of an item is x dollars, what is the discount price in dollars?
ryzh [129]

Answer:

3.28

Step-by-step explanation:

You want to find the discount price. Set a relation to where the well i cant really explain it but do 20/100 = x/16.40  because 100% of the price is 16.40 dollars. You want to find 20% of that so you find what you multiply to 100 to get 16.40 which is 6.0975. Then you do the same thing for the 20% to find 20% of the price which is 3.28. sorry im trash at explaining but i hope i helped.

8 0
3 years ago
Read 2 more answers
Check my answer before I submit please!!
Minchanka [31]

Answer:

It is AA

Step-by-step explanation:

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3 0
3 years ago
Simplify. Question is in the picture.
kirill [66]

Since 8 × 8 = 64, the square root of 64 is 8

8 - √144

Since 12 × 12 = 144, the square root of 144 is 12

8 - 12

Now simplify

<u>-4</u>

3 0
3 years ago
Find the absolute maximum and minimum values of f on the set D. f(x, y) = x3 − 3x − y3 + 12y + 1, D is quadrilateral whose verti
mojhsa [17]

D is the set of points,

\left\{(x,y)\mid-2\le x\le2,x\le y\le3\right\}

Check for critical points:

f(x,y)=x^3-3x-y^3+12y+1\implies\begin{cases}f_x=3x^2-3=0\implies x=\pm1\\f_y=-3y^2+12=0\implies y=\pm2\end{cases}

Of these 4 points, only 2 belong to D, (-1, 2) and (1, 2), for which we have

\begin{cases}f(-1,2)=19\\f(1,2)=15\end{cases}

Now look for extrema along the boundary.

  • If x=-2, then

f(-2,y)=-y^3+12y-1\implies f'(-2,y)=-3y^2+12=0\implies y\pm2

We have f'(-2,y)>0 for -2 and f'(-2,y) for 2, which indicates a local maximum at y=2 and minima at the endpoints of this boundary. So

\begin{cases}f(-2,2)=15\\f(-2,-2)=-17\\f(-2,3)=8\end{cases}

  • If x=2, then

f(2,y)=y^3+12y+3\implies f'(2,y)=-3y^2+12=0\implies y=\pm2

We have f'(2,y) for 2, so we have extrema at the endpoints of this boundary.

\begin{cases}f(2,2)=19\\f(2,3)=12\end{cases}

  • If y=x, then

f(x,x)=9x+1\implies f'(x,x)=9>0

which tells us f is strictly increasing on this boundary, giving the extrema we already know about,

\begin{cases}f(-2,-2)=-17\\f(2,2)=19\end{cases}

  • If y=3, then

f(x,3)=x^3-3x+10\implies f'(x,3)=3x^2-3=0\implies x=\pm1

We have f'(x,3)>0 for -2 and 1, and f'(x,3) for -1. This indicates a maximum at x=-1 and a minimum at x=1, with

\begin{cases}f(-2,3)=8\\f(-1,3)=12\\f(1,3)=8\\f(2,3)=12\end{cases}

From this analysis, we find that f attains an absolute maximum of 19 at (-1, 2) and (2, 2), and an absolute minimum of -17 at (-2, -2).

4 0
3 years ago
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