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Answer:

vertex: (-5, 3)

Step-by-step explanation:

Besides providing the graph of the given quadratic equation, I will also demonstrate the algebraic method of solving for the vertex of a parabola.

Given the quadratic equation, y = -x² - 10x - 22, where:

a = -1, b = -10, and c = -22.

In order to find the vertex of the given equation, use the following formula to find the x-coordinate of the vertex: [tex]x = \frac{-b}{2a}[/tex].

[tex]x = \frac{-b}{2a}[/tex]

[tex]x = \frac{-(-10)}{2(-1)}[/tex]

[tex]x = \frac{10}{-2}[/tex]

x = -5

The x-coordinate of the vertex is: x = 5.

Next, substitute the value of the x-coordinate into the given quadratic equation to find its corresponding y-coordinate:

y = -x² - 10x - 22

y = -(-5)² - 10(-5) - 22

y = -25 + 50 - 22

y = 3

Therefore, the vertex of the given parabola is: (-5, 3), where it is the maximum point.  

One of the attachments is the screenshot of the graphed quadratic equation (using Desmos), where it shows  the vertex as the maximum point.

If you have a graphing calculator (such as the Texas Instruments graphing calculator):

Please let me know if you have any questions or concerns regarding this post.

Answer:a

Step-by-step explanation:

the answer is a because it is

Answer:

A variable is a letter that is used to represent a number. For instance, in this problem the variable x represents an unknown number that will equal 5 when added to 2.

Step-by-step explanation:

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

x - (55/100)x = 0.45x

The decreasing x by 55% is 0.45x

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Decreasing x by 55%.

This can be written as,

= x - (55/100)x

= x - 0.55x

= 0.45x

Thus,

The decreasing x by 55% is 0.45x

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ2

Answer:

Left 3 down 4

Step-by-step explanation:

I'm not sure how to explain it, but I can give advice. A site that really helped me with this was Desmos Graphing Calculator.

Answer:

the answer is 147

Step-by-step explanation:

first you do 3.5cm times 84cm which is 294cm

then you do 294cm divided by 2 which is 147cm

the reason why you divide by 2 is because parallelograms like the triangle can be also halved into 2 separate triangles!!

hope this helped <3

Answer:

$720

Step-by-step explanation:

Step 1: Set up the expression.

Step 2: Simplify.

Step 3: Convert 0.85 into a fraction.

Step 4: Multiply 612 by reciprocal of 17/20.

Therefore, the regular price was $720.

Answer:

15$

Step-by-step explanation:

45 ÷ 3 = 15

Answer:

equation= 4x=x+22kg

Step-by-step explanation:

i hope it helped :))

Answer:

80,815,933

Step-by-step explanation:

Answer:

A) 17 m  B) 20.8 m

Step-by-step explanation:

I cannot mark on the image but you can find the length of A to the bottom of the shape by subtracting 26-11

26-11 = 15

I will label the triangle as ABC (AB the length we trying to find, BC is 15 *it is angle B to the intercept of A and the bottom of the shape, AC is 8 because it is parallel to the given length 8)

AB is the hypotenuse

We can use the pythagorean theorem  to find length AB (a^2 + b^2 = c^2)

a and b is the legs which is 8 and 15

8^2 + 15^2 = AB^2

64 + 225 = AB^2

289 = AB^2

√289 = AB (to undo a square, you use square roots)

√289 = 17

AB = 17 m

Now we need to find the hypotenuse of AC

the same thing, we did for problem A, use the pythagorean theorem

17^2 + 12^2 = AC^2

289 + 144 = AC^2

433 = AC^2

√433 = AC

√433 is about 20.808...

round to the tenth as stated in the directions

AC = 20.8 m

Answer:

ASA congruence

Step-by-step explanation:

here two angles and in between side are equal for these two triangles

Answer:  F distribution. chi-square distribution. t distribution. normal distribution.

Step-by-step explanation:

Answer:

I'm pretty sure it's 108.

Step-by-step explanation:

12 x 12 x 12 = 1,728

4 x 4 = 16

1,728 ÷ 16 = 108

well, let's say the original price is "x", which namely 100% of the price of the product, we also know that 285.60 is 34% of that.

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 285.60&34 \end{array}\implies \cfrac{x}{285.60}=\cfrac{100}{34}\implies \cfrac{x}{285.60}=\cfrac{50}{17} \\\\\\ 17x=14280\implies x = \cfrac{14280}{17}\implies x = 840[/tex]

Answer:

YeYEYEyYEEeeeeeeeeeeeeeeeeeeeeEE

Step-by-step explanation: kinda sounds like that epesode from squid game episode 7 i think

Answer:

Step-by-step explanation:

You can setup a proportion as follows:

4 lb = 9000 ft2

x lb = 25000 ft2

Solve for x = 25000 ft2 x 4 lb / 9000 ft2 = 11.11 lb ~ 11 lb rounded to a whole number

You just have to underline the word that connects two sentences .

for example: In number 2. Sophia ate a lot. She is still hungry. These are two sentences the word 'yet' connects two sentences. that is called conjunction.

1.= under line so

2.= under line yet

3.= under line but

4.= under line so

Answer:

This is correct explanation

Step-by-step explanation:

A dividend is a number we want to divide by another number. It's supposed to be greater than 1000.

Quotient - the integer result of division. Remainder - well, what remains.

9/4 = 2, with remainder 1.

You want to find a number greater than 1000, which, when divided by another number, results in 37, with a remainder of 4.

I would multiply 37 by an increasing number until we get a product greater than 1000. This number is the one you are dividing by. Now add 4 to the product, so that when the sum is divided by the number you found we'll get a remainder of 4.

Using conditional probability, it is found that there is a 0.4235 = 42.35% probability that the patient  really is HIV positive.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

In this problem:

The percentages involving a positive test are:

Hence:

[tex]P(A) = 0.95(0.03) + 0.04(0.97) = 0.0673[/tex]

The probability of both having a positive test and being HIV positive is:

[tex]P(A \cap B) = 0.95(0.03)[/tex]

Then, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.95(0.03)}{0.0673} = 0.4235[/tex]

0.4235 = 42.35% probability that the patient  really is HIV positive.

A similar problem is given at https://brainly.com/question/14398287

Answer:

D  [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

For find the slope of whatever line we use the next formula:

[tex]m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So in our occasion we have:

[tex]y_2 = 10 \quad \text{and} \quad y_1 = 3\\x_2 = 2 \quad \text{and} \quad x_1 = -1[/tex]

Replacing in the equation:

[tex]\frac{10 - 3}{2 - (-1)} = \frac{7}{3}[/tex]

So the answer is [tex]\frac{7}{3}[/tex]

Y might be 84. Considering 6*8=48, it would probably be the same with Y, so 14*6=84.

Hopefully this is correct but sorry if it isn't.

Answer:

the answer is 5 I think I hope

Answer:

6.72

Step-by-step explanation:

Answer:

2x ×2y=15. then solve for equation x and y

Answer:

Find the Diameter!

To find the diameter, get the cirumference, divide it by 2, and multiply it by Pi (3.14)

For this certain equation, it appears the circumference is 13. 13/2 is 6.5. 6.5 times 3.14 is 20.41.

Answer:

I think the other guy is correct I'm just putting this here so you can give him/her brainliest

Step-by-step explanation:

Answer:

The answer will be:-  ( 0.8 oz ).