A parabola has a minimum value of 0, a y-intercept of 4, and an axis of symmetry at x = -2.Select the graph that matches the description.

Answers

Answer 1

Answer:

Answer:

Graph represented by option D is the correct choice.

Step-by-step explanation:

We have been given that a parabola has a minimum value of 0, a y-intercept of 4, and an axis of symmetry at $x=-2$ .

Since the minimum value of our given parabola is 0, so y-coordinate of vertex of parabola would be 0. This means that vertex of parabola will be at x-axis.

Since Since the minimum value of our given parabola is 0, so our parabola will be upward opening.

We are also told that parabola has an axis of symmetry at $x=-2$ . This means that parabola will be symmetric about line $x=-2$ .

The y-intercept of parabola is 4. This means that parabola will intersect y-axis at point $(0,4)$ .

Upon looking at our given choices, we can see that option D is the correct choice as it meets all the given conditions.

Answer 2

Answer:

The answer is d. The y-intercept is at 4, the parabola is at 0 and the axis of symmetry is x=-2.

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Determine whether the lines are parallel, perpendicular, or neither. Justify your answer. y = 2x - 8Y = 1/2x + 6
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Answers

Answer:

perpendicular

Step-by-step explanation:

it is perpendicular because you flipped and negative the slope. if it was parallel the slope would be the same with no negative

PLEASE PLEASE PLEASEE PLEASEEEEESE HELPME!?!?!? IM SO BAD AT MATH PLEASE HELP!!! Find the average rate of change from x = 7 to x = 14 for the function f(x) = 0.01(2)x and select the correct answer below.
Select one:
a. 23.22
b. 35.84
c. 128
d. 163.84

IK THE ANSWER IS NOT D. 163.84

Answers

For this case we have the following function:
$f (x) = 0.01 * (2) ^ x$
By definition, the average rate of change is given by:
$AVR = (f(x2) - f(x1))/(x2 - x1)$
We evaluate the function for the given values:
For x = 7:
$f (7) = 0.01 * (2) ^ 7 f (7) = 1.28$
For x = 14:
$f (14) = 0.01 * (2) ^ {14} f (14) = 163.84$
Then, replacing values we have:
$AVR = (163.84 - 1.28)/(14 - 7)$
$AVR = 23.22$
Answer:
the average rate of change from x = 7 to x = 14 is:
a. 23.22

a model rocket is launched from a roof into a large field the path of the rocket can be modeled by the equation y equals -0.04 ^ 2 + 8.3 x + 4.3 where X is the horizontal distance in meters from the starting point on the roof and why is the height in meters of the rocket above the ground how far horizontally from its starting point will the rocket land round your answer to the nearest hundredth meter

Answers

Answer:

208.02 m

Explanation:

When the model rocket lands, y = 0; therefore, the equation becomes

$-0.04x^2+8.3x+4.3=0$

Using the quadratic formula we solve for x.

$x=\frac{-8.3\pm\sqrt[]{8.3^2-4(-0.04)(4.3)}}{2(-0.04)}$

Which simplifies to give

$x=\frac{-8.3\pm\sqrt[]{69.578}}{(-0.08)}$

Hence, we have the solutions

$\begin{gathered} x=208.02 \n x=-0.52 \end{gathered}$

since lengths cannot be negative, we choose x = 208.02 as our answer.

Hence, the model rocket lands 208.02 m from the starting point.

How are 0.5 and 0.05 and 0.0005 related

Answers

$\bf \cfrac{5}{10}\cdot \cfrac{1}{10}\implies \cfrac{5}{100}~\hspace{10em}\cfrac{5}{100}\cdot \cfrac{1}{10}\implies \cfrac{5}{1000}\n\n\n\textit{we can say one is \boxed{\textit{one tenth of the other}}}\n\n[-0.35em]~\dotfill\n\n\cfrac{5}{100}\cdot 10\implies \cfrac{5}{10}~\hspace{10em}\cfrac{5}{1000}\cdot 10\implies \cfrac{5}{100}\n\n\n\textit{or we can say, one is \boxed{\textit{ten times the other}}}$

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Answer in three complete sentences to explain how much of your income is in each category.

Answers

In the 20-60-20 budgeting model, 20% of your net income should go towards saving and investing for the future. 60% should go towards your daily expenses, such as housing, utilities, food, transportation, and healthcare. The remaining 20% can be used for discretionary spending, such as entertainment, dining out, vacations, or any other non-essential expenses.

Given that your net income is $3,750 per month, you should aim to save $750 (20% of $3,750) per month, spend $2,250 (60% of $3,750) on your essential expenses, and have $750 (20% of $3,750) left over for your discretionary spending.

It's important to note that this budgeting model is a general guideline and may not work for everyone. You may need to adjust the percentages based on your personal financial situation, goals, and lifestyle.

Melissa put her cat, Herman, on a diet and kept track of his weight. At the end of 4 weeks, she recorded Herman's weight change as −4 1/2 ounces. She noticed that he had lost the same amount of weight each week. What is Herman's weight change each week of the diet? Enter your answer in the box.

Answers

Answer: -1 1/8

Step-by-step explanation: When you have a problem like this, you have to divide.

So you turn the improper fraction into a mixed number which (4 1/2 turns into 9/2) and then you do KCF (Keep Change Flip). So you keep the 9/8, change division into multiplication, and since we are going to put the four over a 1 like this 4/1, we need to change it into 1/4. Then you multiply across. 9x1=9 and 2x4=8 so it would be 9/8. But it's an improper fraction right? So you do long division, and you get -1 1/8.

-103

if he lost the same weight each week that means -412 (the weight he lost) ÷ 4 (number of weeks) = -103 (amount of weight lost in one week)

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