write the equation for a parabola with a focus at (-3,-5) and a directrix at x=-7

x=​

the standard form of a quadratic formula is

y = ax^2 + bx + c

in this case you will solve using foil method

(× - 4)(x + 3)

(x × x) +( x × 3 )(- 4 × x) ( -4)× 3))

x^2 + 3x - 4x -12

x^2 - x - 12

therefore

y = x^2- x - 12

9514 1404 393

Answer:

  C:  5 inches

Step-by-step explanation:

The length of the sides of the new square is the square root of the area:

  s = √A = √49 = 7

The original square had sides 2 inches shorter, so they were ...

  7 in -2 in = 5 in . . . . side length of original square

Answer:

x = -1

Step-by-step explanation:

-3 +12 = 9

-9x = 9

-9(-1)=9

9 - 12 = -3

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\bar{x}=650\\\\\sigma =24\\\\n=36\\\\[/tex]

Calculating the sampling distribution of the sample mean:

[tex]\to \mu=\mu_\bar{x}=650[/tex]

Calculating the sampling distribution of the standard deviation:

[tex]\to \sigma_\bar{x}=\frac{\sigma}{\sqrt{n}}=\frac{24}{\sqrt{36}}=\frac{24}{6}=4[/tex]

B or A. I'm not sure, because i learned this 5 years ago, but it is a or b. the only reason i dont know which one is because i forgot what a filled in dot, versus a circle means. on point 3 on your number line, there's a circle, and there's a dot on answer A and answer B respectively. if memory serves, it should be B

Answer:

f(x)=|x+6|

Step-by-step explanation:

because it is moving the function without changing the slope

Answer:

x = 12

Step-by-step explanation:

It is a 90° angle which means that both of the angles need to add up to 90. 90-20 =70. 6×12 = 72.

6×9= 72

72-2 = 70

It adds up.

Hope this helps.

Step-by-step explanation:

Total amount of cookies= 268

One bag can hold 8 cookies

268 / 8 = 33 (remainder 4)

He can make as many as 33 bags, and there are 4 cookies left over.

Answer:

See graph and explanation

Step-by-step explanation:

Assuming you mean y ≤ −x² + 2x, you graph y = −x² + 2x and then fill in the area beneath the curve of the parabola to represent the included values. See the graph for a visual.

Answer:

z (max)  =  6.15

x₁  =  1       x₂ =  3    x₃  =  6

Amount of beef leftover     2 lb

Amount of onions leftover   0

Amount of  Special Sauce leftover 61

Amount of Hot Sauce leftover   9

Step-by-step explanation:

Ingredients              Beef      Onions    Special S   Hot S      Profit  

Wimpy  (x₁)                   1              2                5              0             0.6

Dial 911 (x₂)                   1              2                2              5             0.55

Fire Bowl (x₃)                1.5           2                3              6             0.65

Available                       15            20             90             60        

Objective Function z:

z  =  0.6*x₁  +  0.55*x₂  +  0.65*x₃      to maximize

Subject to:

1) Quantity of beef : 15

x₁  +  x₂  + 1.5*x₃  ≤  15

2) Quantity of onions:  20

2*x₁  +  2*x₂  +  2*x₃  ≤  20

3) Quantity of Special sauce: 90

5*x₁  + 2*x₂  + 3*x₃  ≤  90

4) Quantity of hot sauce:  60

0*x₁   + 5*x₂  + 6*x₃  ≤  60

5) Condition: The number of servings for Fire Bowl must be at least 10% of the total number of servings for all three luncheon chili specials.

x₃  ≥  0.1 ( x₁  +  x₂   +  x₃ )     or    x₃    ≥   0.1*x₁  +  0.1 *x₂  + 0.1*x₃

x₃   -   0.1*x₁  -  0.1 *x₂  - 0.1*x₃   ≥  0

-   0.1*x₁  -  0.1 *x₂   +    0.9 *x₃   ≥  0

6)Condition: The number of servings for Fire Bowl, however, cannot exceed the number of Dial 911 by more than 3.

x₃  -  x₂  ≤  3

7)the available number of servings for Dial 911 must be at least 2.

x₂  ≥  2

General constraints:

x₁  ≥   0           x₃   ≥ 0    all integers

With on-line solver solution  is:

z (max)  =  6.15

x₁  =  1       x₂ =  3    x₃  =  6

By sbstitution on the constraints

1)   x₁  +  x₂  + 1.5*x₃  ≤  15               1 + 3 + 9  = 13

Amount of beef leftover     2 lb

2)  2*x₁  +  2*x₂  +  2*x₃  ≤  20          2 + 6  + 12 = 20

Amount of onions leftover   0

3) 5*x₁  + 2*x₂  + 3*x₃  ≤  90             5  + 6  + 18 = 29

Amount of  Special Sauce leftover 61

4)0*x₁   + 5*x₂  + 6*x₃  ≤  60             15  +  36  = 51

Amount of Hot Sauce leftover   9

9514 1404 393

Answer:

  4) ΔEFG ~ ΔECD

  6) Not Similar

Step-by-step explanation:

4) Shortest to longest sides are ...

  EF : FG : GE = 14 : 16 : 20 = 7 : 8 : 10 (reduced)

  EC : CD : DE = 7 : 8 : 10

The triangles have the same side length ratios, so are similar.

  ΔEFT ~ ΔECD

__

6) Shortest to longest, the given sides have ratios ...

  UT : TV = 71 : 84 (reduced)

  GT : TH = 60 : 72 = 5 : 6 (reduced)

The side ratios are different, so the triangles are NOT SIMILAR.

Answer:

part 1. Use side ratios to determine if the triangles in each pair of similar. If so complete the similarity statement. NO LINKS!!!

It equals this graph expression. it's a little cropped, but I'm Sure you know about the y & x axis.

Answer:

–x² + 12x + 5

Step-by-step explanation:

x² + 3x

–2x² + 9x + 5

The sum of the above expression can be obtained as follow:

.... x² + 3x

+ –2x² + 9x + 5

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

–x² + 12x + 5

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Thus, the sum of x² + 3x and –2x² + 9x + 5 is –x² + 12x + 5

Answer:

17

Step-by-step explanation:

Answer:

none of above

Step-by-step explanation:

Answer: 69

Step-by-step explanation: EZ

Answer:

$919.98

Step-by-step explanation:

To solve using a financial calculator do

N=8

I/Y=10

PMT=85

FV=1000

CMPT PV get 919.98

To do by hand find the present value of the interst payments

85*(1-(1/1.1)^8)

which is 453.4687

Find the present value of the final ballon payment

1000*(1/1.1)^8

which is 466.507

take the sum

466.507+453.4678= 919.98

Answer:

f(-1) = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 1 - x² + x³

f(-1) is x = -1 for the function f(x)

Step 2: Evaluate

Step-by-step explanation:

all working is above

hope that helps

Answer: 2200

Step-by-step explanation:

First we will find the area of the triangle, the formula for that is bh/2

(base multiplied by height divided by 2) then we input the numbers into our formula, 30 is the height of the triangle and 40 is the length of the base. So we have to solve 40*30/2 which is 600, then we solve for the square on the bottom which is b*h ( base multiplied by height) so it is 40*40, so we would get 1600, then we add 600 and 1600 together and get 2200.

Answer:

BR is about 7.3084 cm

Step-by-step explanation:

the sum of the exterior angles of any polygon is 360. The measure ox x would be 360/15= 24

since I want BR, I will use cos (adj/hyp)

cos24=s/8

.9135=s/8

7.3084=s

Answer:

24/25

Step-by-step explanation:

on delta math

The ratio of cosine of angle X is 24/25.

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled.

Given a right triangle, XYZ with angle Y equals 90° and  ZY=7, XZ=24 and YX=25

The ratio of the cosine of an angle is the ratio of the base to the hypotenuse of the right triangle,

Here, Cosine of angle X = XZ/YX

cosX = 24/25

Hence, The ratio of cosine of angle X is 24/25.

For more references on trigonometric ratios, click;

https://brainly.com/question/25122825

#SPJ2

Answer:

9x + 5y

Step-by-step explanation:

Here, in 2x + 5y+ 7x,   the 'like terms' are 2x and 7x, and the sum of these terms is 9x.  Thus, 2x + 5y+ 7x becomes 9x + 5y.

Answer:

Aisha would pay 21 dollars for 8 slices.

Equation 2x(x=number of slices)+5

Step-by-step explanation:

Answer:

A. (-1, 0)

Step-by-step explanation:

I calculated it logically

Answer:

Step-by-step explanation:

Option B is the correct answer

10 : 20

In its simplest form

1 : 2

Answer:

-4

Step-by-step explanation:

the steps are in the pic above