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2 years ago

Given the quadratic function

Mathematics

1 answer:

hjlf2 years ago

5 0

The vertex is (-4,-3)

The axis of symmetry is x=-4

and the transformations are:

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Suppose the life of a particular brand of calculator battery is approximately normally distributed with a mean of 75 hours and a

Orlov [11]

Answer:

idek

Step-by-step explanation:

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3 years ago

Prove that the statement (ab)^n=a^n * b^n is true using mathematical induction.

mamaluj [8]

Answer:

see below

Step-by-step explanation:

(ab)^n=a^n * b^n

We need to show that it is true for n=1

assuming that it is true for n = k;

(ab)^n=a^n * b^n

( ab) ^1 = a^1 * b^1

ab = a * b

ab = ab

Then we need to show that it is true for n = ( k+1)

or (ab)^(k+1)=a^( k+1) * b^( k+1)

Starting with

(ab)^k=a^k * b^k given

Multiply each side by ab

ab * (ab)^k= ab *a^k * b^k

( ab) ^ ( k+1) = a^ ( k+1) b^ (k+1)

Therefore, the rule is true for every natural number n

5 0

3 years ago

Read 2 more answers

Solve the system of equations y=9x+13 y=2x+48

MakcuM [25]

Both are equal y. So you can set them equal to each other

9x+13=2x+48

Subtract 2x from both sides

7x+13=48
Subtract 13 from both sides

7x= 35

X=5

7 0

3 years ago

In each box, 15% of the total candies are cherry flavored. In a box of 20 candies, how many are cherry flavored? Enter the missi

Yanka [14]

The answer is 3. I don't know if you want ne to explain or show my work just reply to me.

5 0

3 years ago

Read 2 more answers

Please answer this question for points

alexgriva [62]

Answer:

Step-by-step explanation:

Slope-intercept form is y = mx + b

"m" is the slope, how steep the line is.

"b" is the y-intercept, where to graph hits the y-axis.

Check the scale for this grid. Since there are "1" written on the first box after the middle, <u>one square = one unit</u>.

To find "m", use $m = \frac{rise}{run}$ between the two dotted points on the graph. The first point is always on the left.

<u>"Rise" means how many squares above</u> the first point the second point is.

Since the second point is below the first point, the number is negative.

<u>"Run" means how many squares to the right</u> the second point is.

$m = \frac{rise}{run}$

$m = \frac{-2}{1}$

$m = -2$

To find "b", look at where the graph it touching the y-axis.

The y-axis is the vertical line (going from top to bottom).

Count the number of squares from the grid's middle to the graph line.

There are 3 squares.

Since the graph touches below the origin, this is a negative number.

b = -3

In the boxes, you put negative two (-2) and negative three (-3).

* Usually we would simplify the equation to y = -2x - 3.

6 0

3 years ago