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miss Akunina [59]

3 years ago

11

Using the completing-the-square method, find the vertex of the function f(x) = 5x2 + 10x + 8 and indicate whether it is a minimu

m or a maximum and at what point. (2 points)

1 answer:

jekas [21]3 years ago

5 0

The vertex of the function f(x) = 5x² + 10x + 8 is (-1, 3). the function has a minimum value at 3.

hope this helps, God bless!

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sheldon bought 4 1/2 kg of plant food. he uses 1 2/3 kg on his strawberry plant and used 1/4 kg for his tomato plant. how many k

fenix001 [56]

Answer:

Sheldon have left $2\frac{7}{12}\ kg$ of food.

Step-by-step explanation:

Quantity of food = $4\frac{1}{2}=\frac{9}{2}$ kg

Quantity used on strawberry plant = $1\frac{2}{3} = \frac{5}{3}\ kg$

Quantity used on tomato plant = $\frac{1}{4}\ kg$

Food left = Total - used on strawberry - used on tomato

Food left = $\frac{9}{2}-\frac{5}{3}-\frac{1}{4}$

Food left = $\frac{54-20-3}{12} = \frac{31}{12}$

Food left = $2\frac{7}{12}\ kg$

Therefore,

Sheldon have left $2\frac{7}{12}\ kg$ of food.

4 0

2 years ago

27 POINTS » Answer this simple question!

marta [7]

None of above is the answer

8 0

3 years ago

Read 2 more answers

Find the distance between to points given?

kondor19780726 [428]

<h3>Answer: 29 goes in the box</h3>

===============================================

Explanation:

The two endpoints are (-3,1) and (-1,-4)

Apply the distance formula

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-(-1))^2 + (1-(-4))^2}\\\\d = \sqrt{(-3+1)^2 + (1+4)^2}\\\\d = \sqrt{(-2)^2 + (5)^2}\\\\d = \sqrt{4 + 25}\\\\d = \sqrt{29}\\\\d \approx 5.3851648\\\\$

So the approximate distance is roughly 5.38 units and the exact distance is $\sqrt{29}$ units.

--------------

As a slight alternative, you can plot the point (-3,-4) and draw a right triangle. Then apply the pythagorean theorem to find the length of the hypotenuse. The vertical and horizontal legs are 5 and 2 units respectively.

It turns out that the distance formula is essentially a modified form of the pythagorean theorem.

5 0

2 years ago

If a jar contains 3 blueberry, 4 ginger, 1 green, and 6 regular tea bags, what is the probability that a blueberry or ginger tea

Nonamiya [84]

Answer:

3/14

Step-by-step explanation:

Well first, add up all the numbers, and you get: 14.

Then, the blueberry has 3 tea bags. So, if there are 14 total bags, with 3 blueberry bags, the answer would be: 3/14.

6 0

2 years ago

Read 2 more answers

Find the slope and the y-intercept of the graph of the linear equation. 1. y=3x-7 2. y-1=-2/3x

ELEN [110]

Answer:

1) Slope: 3; y-intercept: -7

2) Slope: 2/3; y-intercept: 1

Step-by-step explanation:

y = mx + b; m is slope and b is y-intercept

1. y = 3x - 7

The equation is already in slope-intercept form, so you can find the slope and intercept.

Slope: 3

y-intercept: -7

2. y - 1 = 2/3x

For this one, you have to convert this into slope-intercept form (solving for y)

y - 1 = 2/3x

Add 1 to both sides

y - 1 + 1 = 2/3x + 1

y = 2/3x + 1

Now that the equation is in slope-intercept form, you can get the slope and y-intercept.

Slope: 2/3

y-intercept: 1

5 0

2 years ago