find the equation of a parabola whose vertex is at (-1,7), whos axis of symmetry is x=-1, and who's y-intercept is (0,10). write your answer in vertex form

Answer:

(-1,-2)

Step-by-step explanation:

Think of the line y=x as a mirror.  The image of the point (1,2) is obtained by drawing a line through (1,2) perpendicular to the line y=x and finding the point on the perpendicular line that is equal distance from the line y=x but on the other side. This gets you to the point (2,1).

Similarly, from (2,1) find the mirror image using the line y=-x as the mirror. You travel diagonally 1.5 diagonal squares to reach y=-x and then continue another 1.5 diagonals to reach (-1,-2) which is your answer.

Answer: a. B) 1.432

              b. E) I and IV

Step-by-step explanation:

a. Margin of error to construct a 99% confidence interval is calculated as

[tex]ME=t.\frac{s}{\sqrt{n}}[/tex]

where

t is the critical value expressed as t-score, which comes from t-distribution;

s is sample standard deviation

n is sample size

In this case, a t-score is used because the population standard deviation is unknown and the sample size is small, n < 30.

The way to find t-score is:

1) Define the degree of freedom, which is sample size minus 1: df = n - 1;

2) Compute alpha: [tex]\alpha=1-\frac{confidence}{100}[/tex];

3) Find the critical probability: [tex]p=1-\frac{\alpha}{2}[/tex]

With the df and critical probability, consulte the t-distribution table and find the score.

For the cheese filling:

df = 24

p = 0.995

t-score = 2.797

Calculating margin of error:

[tex]ME=2.797.\frac{2.56}{\sqrt{5}}[/tex]

ME = 1.432

The margin of error to construct a 99% confidence interval for the true mean amount of cheese filling is 1.432.

b. Confidence interval is an interval in which we have a percentage of certainty that the true population mean is. For example, with a 99% confidence interval of 14.16 to 15.84 grams, we are 99% confident that the true mean weight of cheese filling is between those numbers or that the weight of cheese filling is between 14.16 and 15.84 grams 99% of the time.

Answer: -2

Step-by-step explanation:

3/10x -2/5= -1

Answer:

40/99

Step-by-step explanation:

Answer:

5/9×8/11

Step-by-step explanation:

40/99

Answer:

1.5/6

2.1/6

Step-by-step explanation:

Answer:

[tex]\frac{5}{6}[/tex] and [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

Answer:

x= -6

y= -5

Step-by-step explanation:

(x,y) = (-6, -5)

Answer:

(-6,-5)

x=-6

y=-5

Step-by-step explanation:

9x-7y=-19

5x-3y=-15

When solving with elimination, you multiply both equations by a number to get two terms to cancel each other out.

We can try to get the y's to cancel out. The LCD of 7 and 3 is 21, so we multiply one equation by 3 and another by -7 (to get one -21y and one 21y)

{9x-7y=-19}*3=

27x-21y=-57

{5x-3y=-15}*(-7)=

-35x+21y=105

Now, we combine the two equations.

27x-21y=-57

-35x+21y=105

-8x=48

Now, solve for x.

-8x=48

x=-6

Now we can plug x into one of the original equations to get y.

I will use 9x-7y=-19.

9(-6)-7y=-19

-54-7y=-19

Add 54 to both sides.

-7y=35

y=-5

We can put these values into an ordered pair: (-6,-5).

Answer:

5940

Step-by-step explanation:

495 x 12 = 5940

Answer:  About 513 feet

A more accurate value is roughly 512.575960394824

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

Explanation:

With many trig problems, a diagram should help steer you in the right direction. See below.

The red angle is the angle of depression. It's formed by starting off looking straight horizontal, then we look down 26 degrees. The blue angle adds to the red angle to get 90, so we can see that 26+64 = 90. Or you could say 90-26 = 64.

The goal is to find the value of x, which is the length from B (the lighthouse base) to point C (the ship's location).

The lighthouse is 250 ft tall, meaning AB = 250

We'll use angle BAC, or angle A for short, as the reference angle. This is the blue angle in the diagram.

We have a known adjacent side (AB = 250) and an unknown opposite side (BC = x). We use a tangent ratio to tie these sides together with the reference angle in question. This way we can solve for x.

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

tan(angle) = opposite/adjacent

tan(A) = BC/AB

tan(64) = x/250

250*tan(64) = x

x = 250*tan(64)

x = 512.575960394824

x = 513

The distance from B to C is roughly 513 feet.

I'm rounding to the nearest whole number because the other values given to you are whole numbers.

Answer:

Horizontal Asymptote → y = 17

Step-by-step explanation:

Given function is f(x) = [tex]\frac{2}{5}(16)^{x+13}+17[/tex]

Here, the parent function is g(x) = [tex]\frac{2}{5}(16)^x[/tex]

Parent function has a horizontal asymptote as y = 0

If the function g(x) is shifted 13 units left and 17 units up, new function will be f(x) = [tex]\frac{2}{5}(16)^{x+13}+17[/tex]

When the parent function is shifted 17 units up, horizontal asymptote shifts 17 units upwards.

Therefore, horizontal asymptote of the image function becomes y = 17.

Answer:

The answer is B

Step-by-step explanation:

The preceding two stages are development stage and startup stage. In growth stage one should first focus on fine tuning the business model and by finding ways for operational inefficiencies. Dale has actually already identified the inefficiency which is new machines and non being able to cater to some customers due to lack of machines. In this exact stage businessman try to grow the business by analyzing the main profit drivers and the finding ways to grow the profit driver with less cost

9514 1404 393

Answer:

Step-by-step explanation:

Let t represent the number of tigers. Then the number of feet is ...

  4t +2(22 -t) = 70

  2t = 26 . . . . . . . . . subtract 44, collect terms

  t = 13 . . . . . . . divide by 2; number of tigers

  22 -t = 9 . . . . number of ostriches

The zoo has 13 tigers and 9 ostriches.

Answer:

Austin and Devyn.

Step-by-step explanation:

1/3 and 2/6 are equal fractions.

Answer:

24

Step-by-step explanation:

700- 100 = 600 divided by 25 = 24

Answer:

0.02826855123 or 35.37

Step-by-step explanation:

24/849 = 0.02826855123

849/24 = 35.37

Answer:

17

Step-by-step explanation:

43 - 26 = 17

Answer:

43 - 26 = 17 muscles

Answer:

2x-13

Step-by-step explanation:

5x-3x=2x

17-4=13

Answer:

y = 3 + 0.25x

Step-by-step explanation:

x represents the miles and if Skyler is charged $0.25 per mile, then x goes with the 0.25. The $3 is a flat fee and doesn't get added any more times then when it is first added.

Answer:

integers

-52, -17, -8, -4

0, 1, 2, 18, 72

There's no integers -_-

(づ￣ ³￣)づdon't worry Check it

Answer:

x = 18

Step-by-step explanation:

you set the 2 equations equal to eachother

you minus x on both sides to get x on one side

than find the answer

Answer:

cool

Step-by-step explanation:

add the (6+12) and than multiply what you get by 3.4. you will get the answer

The value of the expression is 216.

What is a mathematical expression?

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Quantities (operands), factors, operations, operations, braces, grammar, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's sequence of operations and other features. In algebra, a value may be designated by an expression; this value may rely on the values given to the variables that the expression contains. The semantics associated with the symbols in the expression determine this value. The expression's context determines which semantics to use. Depending on the suggested sequence of operations by the context, the identical syntactic statement 1 + 2 3 might have multiple values (mathematically 7, but also 9).

The given expression is 3.4.(6+12)

And it can be solved as

3.4.(6+12) = 12.18 = 216

Hence, the value of the above expression is 216.

To know more about expressions, click on the link

https://brainly.com/question/18189573

#SPJ2

Answer:

14+4=18 have a good day Ahead

Answer:

The answer is 26

Step-by-step explanation:

All we do is multiply 4/8 by 52.

52 = 52/1

52/1 * 4/8 = 208/8

208/8 = 26

So the answer is 26.

Hope this helps! :)

Answer:

tan15=x/300

0.267=x/300

0.267×300=x

x=80.01=80(approx)

Answer:

Seeds serve several functions for the plants that produce them. Key among these functions are nourishment of the embryo, dispersal to a new location, and dormancy during unfavourable conditions.

Step-by-step explanation:

Answer:

(-2, 3)

Step-by-step explanation:

I believe (-2, 3)

Answer:

a = 62.5

b = 40

c =62.5

d = 70