Write the the function f(x) = -5(x + 5)² - 2 in the form f(x) = ax² +bx+c

Given

The data,

To find:

The variance, standard deviation, P(X ≥ -1), and P(X ≤ -3).

Explanation:

It is given that,

Then,

The variance is,

And the standard deviation is,

Also,

Hence, the answers are,

Variance is 2.09

Standard deviation is 1.45

P(X ≥ -1) is 0.4

P(X ≤ -3) is 0.5.

If the bees are working at the same rate, the number of years taken to make 70 jars is 4 years.

The rate at which a bee makes a jar is calculated as follows;

rate = 2000 bees / 7 Jars

rate = 285.71 b/J

The later of rate of the bees is calculated as follows;

rate = 5000 bees / 70 jars

rate = 71.42 b/J

If the bees were to maintain the first rate, the number of years taken to make 70 jars is calculated as follows;

number of years = (285.71) / (71.42) = 4 years

Learn more about rate of work here: https://brainly.com/question/1144815

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5/30 = 1/6 = 0.16666667

13/25 = 0.52

30/50 = 3/5 = 0.6

13/10 = 1.3

As you can see the fraction which is equal to a repeating decimal is:

5/30 = 1/6 = 0.16666667

We are given a quadratic function and the rather than the equation for this function we already have the outputs at each given input as shown in the table provided. This means, for example, for the function given, when the input is -10, the output is 184. Thus the table includes among other values;

To calculate the average rate of change we shall apply the formula for the slope (which is also the average rate of change). This is given below;

Note that the variables are;

The first input value is -10 and the function at that value is 184

The second input value is 0 and the function at that value is -6

We now have;

We can now substitute these into the formula shown nearlier and we'll have;

ANSWER:

The average rate of change over the given interval is -19

Let x be the number of tshirt sold.

A/q,

Thus the number of tshirt sold is 17.

The lateral area of a cylinder is:

r is the radius

h is the height

For the given cylinder:

As the diameter is 4m, the radius is half of the diameter:

h=12m

For this problem, we are given a certain expression and we need to write it in the "y=mx+b" form.

We need to isolate the "y" variable on the left side to solve this problem. We have:

The expression is y = (2/3)x+2.

Answer:

I don’t know if I can send it answer

Step-by-step explanation:

Answer

For the division, notice that we can multiply both numbers by 100, to get the following:

then, we can make the long division:

therefore, the result of 59.25 ÷ 0.75 is 79

For the multiplication, we can write the following:

notice that since both factors have 2 digits and 1 digit each after the decimal point, the final result will have 3 digits after the decimal point,

Therefore, the result of 1.06 × 7.3 is 7.738

Answer:

p(-3) = -428

Given the polynomial function expressed as:

Determine the value of p(-3)

Hence the value of p(-3) is -428

ANSWER

A. (2x + 3, 2y)

EXPLANATION

Let the original coordinates be (x, y)

First, there was a dilation of scale factor 2.

This means that the coordinates become:

2 * (x, y) => (2x, 2y)

Then, there was a translation of 3 units to the right. That is a translation of 3 units on the horizontal (or x axis).

That is:

(2x + 3, 2y)

So, the answer is option A.

Answer: The better buy is the the 12-inch deluxe for $5.99.

B. 12-inch pizza; $1.50

Explanation:

From the information given, the 10-inch cheese and sausage pizza is $4.99, while the 12-inch deluxe is $5.99. If he gets the 10-inch pizza. We would calculate the area of both pizzas by applying the formula for calculating the area of a circle which is expressed as

Area = πr^2

where

π = 3.14

r is the radius of the circle

For the 10-inch cheese and sausage pizza,

diameter = 10

r = 10/2 = 5

Area = 3.14 x 5^2 = 78.5

If it is divided among 3 people,

each person gets 78.5/3 = 26.2 in^2

Amount that each person pays = 4.99/3 = $1.66

This means that each person pays $1.66 for 26.2 in^2

For the 12-inch cheese and sausage pizza,

diameter = 12

r = 12/2 = 6

Area = 3.14 x 6^2 = 113.04

If it is divided among 4 people,

each person gets 113.04/4 = 28.26 in^2

Amount that each person pays = 5.99/4 = $1.5

This means that each person pays $1.5 for 28.26 in^2

Thus, the better buy is the the 12-inch deluxe for $5.99.

The amount that each person pays is

B. 12-inch pizza; $1.50

We will have the transformation rule (x, y) -> (x+2, y+1)

Then, for A' we will have:

A'(3, 3)

B'(6, 6)

C'(4, 3)

we have that

The surface area of the pyramid is equal to the area of its square base plus the area of its four triangular faces

step 1

Find out the area of the square base

A=15^2

A=225 ft2

step 2

Find out the area of one triangular face

the area of a triangle is equal to

A=(1/2)(b)(h)

we have

b=15 ft

h ----> is the slant height

To find out the slant height, apply the Pythagorean Theorem

h^2=10^2+(15/2)^2

h^2=100+56.25

h=12.5 ft

therefore

A=(1/2)(15)(12.5)

A=93.75 ft2

step 3

The surface area is equal to

SA=225+4(93.75)

In this problem m and n are parallel lines, and the first angle is an exteriar angle an the secon is a interior angle.

this two condition give us that the two angles are complementary anlges so the sum of them should be 180 so:

and we can solve for x so:

Answer: We have to find the radio stations in 2015, which is 13.8% more than the radio stations in 2005 which were 744:

Since this situation can be represented by a right triangle, we can use the pythagorean theorem. Doing so, we have:

We have the following:

We can solve this question by means of the Pythagorean theorem since it is a right triangle, in the following way:

a = 2.3

b = 3.4

replacing

Therefore, the answer is 4.1

A leaking pond loses 16 gallons of water in 47 hours.

How many gallons of water will it lose in 33 hours?

To solve this question we can use a rule of three:

16 gallons is to 47 hours as x gallons is to 33 hours:

Answer:

11.23 gallons

Explanation

Step 1

Let

then

I hope this helps you

Answer:-0.4545555...,-0.453333...,-0.45222.....

hope i helped

Step-by-step explanation:

Given that:

x=35 cm and y=17 cm

and angle CAB= 62 degree

The given equation of ellipse is,

The above equation can be rewritten as,

The above equation is similar to the standard form of the ellipse with center (h, k) and major axis parallel to x axis given by,

where a>b.

Comparing equations (2) and (3), h=2, k=0, a=4 and b= 2.

Hence, the center of the ellipse is (h, k)=(2, 0).

The coordinates of the vertices are given by,

Hence, the coordinates of the vertices are (6, 0) and (-2,0).

The coordinates of the co-vertices are given by,

Hence, the coordinates of the co-vertices are (2, 2) and (2, -2).

The coordinates of the foci are (h±c, k).

Using the value of c, the coordinates of the foci are,

Therefore, the coordinates of the foci are,

The endpoints of the latus rectum is,

Therefore, the coordinates of the end points of the latus recta is,

Now, the equations of the directrices is,

Here, e is the eccentricity of the ellipse.

Therefore, the directrices of the ellipse is

Now, the graph of the ellipse is given by,

x > 19

Explanation:

Let the number = x

The sum of a number and -4 = x + (-4)

The sum of a number and -4 is greater than 15:

x + (-4) > 15

Multiplication of opposite signs gives negative number:

x - 4 > 15

Collect like terms:

x > 15 + 4

x > 19

We are asked to find 150% of 38

Step 1:

Convert the 150% to decimal by removing the % sign which means dividing by 100.

150/100 = 1.5

Step 2:

Now simply multiply the decimal percentage with the number 38

1.5×38 = 57

Therefore, 150% of 38 is found to be 57

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-3)}}} \implies \cfrac{-8 +2}{5 +3} \implies \cfrac{ -6 }{ 8 } \implies - \cfrac{ 3 }{ 4 }[/tex]