Convert y = 5x2 + 20x + 11 to VERTEX form.

Answer:

Step-by-step explanation:

18.029= (1×10)+(8×1)+(2×1100)+(9×1100)

Answers:

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

Explanation:

The horizontal axis always represents the independent variable. Often it is x, but in this case, it's t. The time value does not depend on the height. Time does it's own thing.

The height depends on the time value. The vertical axis, or y axis, is always representing the dependent variable. The notation h(t) helps us see that h must be paired with t, in order to find the value of h so to speak. As the time value changes, so does the height of the ball.

Answer:

you would need a graph to graph the equation

Step-by-step explanation:

Answer:

I think this help you to draw

Answer:

For different x values ,we get unique y value. So, Yes the Statement is true that , A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.

Step-by-step explanation:

Answer: Jackson has $75

Step-by-step explanation:

Step 1

Let the amount of money Christabelle has  = x

Let the amount of money Jackson has = 3x

and the amount of money Janessa has= 3x+ 263

Such that the total money they all have which = $438 be expressed as

Christabelle's money  +Jackson's money + Janessa's money= $438

x+ 3x+ 3x+ 263  =  438

Step 2 ---Solving

x+ 3x+ 3x+ 263=438

7x= 438-263

7x=175

x =175/7

x=25

 Therefore,

Christabelle = $25

Jackson = 3x= 3 x25 = $75

Janessa= 3x+ 263= $75+263=$338

Answer:

18

Step-by-step explanation:

Answer:

answer is b they all add up

Step-by-step explanation:

The domain of the exponential function can take values is option (B) all real numbers is the correct answer.

Exponential function involves exponents. An exponential function is an function with exponents where the exponent (or) a part of the exponent is a variable. The population increase or decrease can be modeled as exponential function.

For the given situation,

In 1990, Jamaica's initial population,P₀ = 2,466,000

Rate of population growth,r = 1.1% = 0.011

Let x be the number of years

Then the population growth can be written as

[tex]P(x)=P_{0}(1+r)^{x}[/tex] ------- (1)

Now substitute the above values,

⇒ [tex]P(x)=2466000(1+0.011)^{x}[/tex]

For x=0,

⇒ [tex]P(0)=2466000(1+0.011)^{0}[/tex]

⇒ [tex]P(0)=2466000(1)[/tex]

⇒ [tex]P(0)=2466000[/tex]

If we need to find the population growth in future years, we need to use positive values of x.

If we need to find the population growth in past years, we need to use negative values of x.

If we need to find the intermediate values, then we need to use rational numbers.

Hence we can conclude that the domain of the exponential function can take values is option (B) all real numbers is the correct answer.

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Answer:

No. The slope of Line E is 3/2, and the slope of Line D is 6/8.

Step-by-step explanation:

For line E, let's find two points that the lines go through: (0,4) and (30, 24).

m=30-0/24-4

m=30/20

m= 3/2 or 1.5

Line E does not have a slope of 3.

Line D goes through these two points: (8,9) and (16,15).

m=15-9/16-8

m=6/8 or 0.75

Line D doesn't have a slope of 3.

Answer:

I think its A

Step-by-step explanation:

I just took this test

Answer:

dunno

Step-by-step explanation:

dunno

Answer:

343 - 49 = 294? Yepper. So the answer is 7.

Step-by-step explanation:

Please give thanks to all my answers and please mark as brilliant and please follow me

Answer:

65.7

Step-by-step explanation:

Given ;

Mean, m = 63.6

Standard deviation, s = 2.5

80th percentile = 80 / 100 = 0.8

The Zscore corresponding to the 80th percentile ; Z < P = 0.842 (Z probability calculator)

Zscore = (x - m) / s

0.842 = (x - 63.6) / 2.5

0.842 * 2.5 = x - 63.6

2.105 = x - 63.6

x = 63.6 + 2.105

x = 65.705

Answer:

x*$9.00 + y*$11.00 ≥ $120

x + y ≤ 20 hrs

Step-by-step explanation:

we have the variables:

x = hours she spends dog-walking

y = hours she spends washing cars.

We know that she wins $9.00 per hour of dog-waling, and she wins $11.00 per hour of washing cars, then the total amount of money she wins per hour is:

x*$9.00 + y*$11.00

And she needs to earn at least $120, then we have the inequality:

x*$9.00 + y*$11.00 ≥ $120

And we also know that she can work, at most, 20 hours per week, then:

x + y ≤ 20 hrs

Then the system of inequalities that represents this situation is:

x*$9.00 + y*$11.00 ≥ $120

x + y ≤ 20 hrs

The equivalent rational expressions with denominator (2u  - 3)(x + 1)(u - 4);

[tex]\frac{5}{(2u - 3)(u + 1)} , \frac{3u}{(2u-3)(u-4)}[/tex]

We want to rewrite the rational expression;

5/(2u² - u - 3), 3u/(2u² - 11u + 12)

Now, the denominator 2u² - u - 3;

From online factorization calculator, the factors of 2u² - u - 3 are;

(2u - 3) and (u + 1)

Similarly, the denominator (2u² - 11u + 12);

From online factorization calculator, the factors of (2u² - 11u + 12) are;

(2u - 3) and (u - 4)

Thus, our expressions are now;

[tex]\frac{5}{(2u - 3)(u + 1)}, \frac{3u}{(2u-3)(u-4)}[/tex]

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Answer:

24 sections

Step-by-step explanation:

8 + 8 = 16

4+ 4 = 8

16 + 8 = 24

Answer:

The answer to this question is 9cm^2, the second answer

Step-by-step explanation:

To find the area of this parallelogram, you have to first find the area of one of the two triangles shown. The formula to solve a triangle is (base * height)/2, so that would be 4.5cm^2 for each triangle, times two for two triangles would be 9cm^2. If you wanted to do it an easier way, just multiply the length of the bottom of the parallelogram with the height. The measures telling you 3.5 are telling you the length of the diagonal line, so don't pay attention to that.  

Answer:

2.4 miles per hour

Step-by-step explanation:

Answer:

A. She makes a mold of her own tongue.

Step-by-step explanation:

this question should go in English if i'm not wrong

Answer:

its A i just did the assignment

Step-by-step explanation:

i got it right

Answer:

We have a data set with 6 whole numbers:

{A, B. C, D, E, F}

The median, in this case, will be the mean of the two middle numbers, C and D.

Median = (C + D)/2 = 40

We also know that the difference between the largest and the smallest number is 21, where the largest number is F and the smallest number is A, then:

F - A  =21.

And the mean will be:

Now we want to take the largest possible numbers such that we end having the largest mean of the whole set, then we can start by taking:

(C + D)/2 = 40

Here we can just take:

C = 39

D = 41

Now our set is:

{A, B, 39, 41, E, F}

Now, A and B should be the largest possible whole numbers (and they must be smaller than 39

The two options are:

B = 38

A = 37

Now our set is:

{37, 38, 39, 41, E, F}

Now, remember that:

F - A = 21

F - 37 = 21

F = 21 + 37 = 58

Then our set will be:

{37, 38, 39, 41, E, 58}

And for E, we should pick the largest number that we could.

In this case, the only restrictions we have for E are that it must be larger than 41, and smaller than 58.

The largest number that meets those conditions is the number 57.

Then our set will be:

{37, 38, 39, 41, 57, 58}

And the mean of this set is:

Mean = (37 + 38 + 39 + 41 + 57 + 58)/6 = 45

Answer:

cube

cuboid

cylindrical

sphere

cone

Answer:

use order of operations, PEMDAS.

p(paranthesis), e(exponents), m(multiplication), d(division), s(subtraction).

3 + 3 x (-4) ÷ 2 ÷ (1 - (-5))

so first work with whats in parenthesis

3 + 3 x (-4) ÷ 2 ÷ 6

now, exponents, we dont have any, so move to multiplication.

3 + (-12) ÷ 2 ÷ 6

now, we will do division

3 + (-6) ÷ 6

3 + (-1)

now add

and you get

2

but 2 isn't an option so i must have done something wrong, but I believe your answer should be B. 3

I hope this helps you!

EDIT: IF ANYONE ELSE IS LOOKING AT THIS FOR HELP THE CORRECT ANSWER IS B. 3

Answer:

1. g. $0.10 per square inch

2. c. $0.08 per square inch

3. f. $10

4. m. $8

5. h. 79 in²

6. j. 113 in²

Step-by-step explanation:

1. A = πr²

   r = diameter ÷ 2 = 10 ÷ 2 = 5

   A = π(5)² = 25π in² ≈ 78.53981

   $8.00/25π = $0.10 per square inch

2. A = πr²

   r = diameter ÷ 2 = 12 ÷ 2 = 6

   A = π(6)² = 36π in² ≈ 113.0973355

   $10.00/36π = 0.088419 = $0.08 per square inch

3. information/answer was provided

4. information/answer was provided

5. A = πr²

   r = diameter ÷ 2 = 10 ÷ 2 = 5

   A = π(5)² = 25π in² ≈ 79 in²

6. A = πr²

   r = diameter ÷ 2 = 12 ÷ 2 = 6

   A = π(6)² = 36π in² ≈ 113 in²

Answer:

42 a

Step-by-step explanation:

brailest plz

This is a special kind of right triangle, called a 30-60-90 triangle.

Across from the 30 degree angle, the side is equal to x. Across from the 60 degree angle, the side is equal to x[tex]\sqrt{3}[/tex]. And across from the 90 degree angle, the side is equal to 2x.

Using what we know about 30-60-90 triangles, lets first solve for x. We know that the hypotenuse, given, is equal to 6.

2x = 6

x = 3

Then, we are looking for the side opposite of the 60 degree angle. So its value is  x[tex]\sqrt{3}[/tex].

x = 3

3 *  [tex]\sqrt{3}[/tex] = 3 [tex]\sqrt{3}[/tex]

y =  3[tex]\sqrt{3}[/tex] (option D)

Hope this helps!! :)

The value of y for the given triangle will be  3√3, hence option (D) will be correct.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

Right angle triangles are triangles in which one angle is 90°.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

Given a right-angle triangle

Let the side opposite to 30° is perpendicular and the remaining y will be base.

By trigonometric relation

cosx = base/hypotenuse

cos30° = y/6  

y = 6 × cos30°  ⇒  y = 6 ×  √3/2

y = 3√3 hence the value of the hypotenuse or y will be 3√3.

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Answer:

x=20

Step-by-step explanation:

(12+6)/(8+x-4) =6/8

18/(x+4)=6/8

6(x+4) =(18)(8)

(x+4) =(18)(8)/6

x+4 =(3)(8)

x+4=24

x=-4+24

x=20

The original price is $53.33, as per linear equation.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, 'x' is a variable, 'A' is a coefficient and 'B' is constant."

Given, the percent of discount 25% = 0.25.

Sale price $40.

Let, the original price is x.

Therefore, [x - (x × 0.25)] = 40

⇒ (x - 0.25x) = 40

⇒ 0.75x = 40

⇒ x = (40/0.75)

⇒ x = 53.33

Therefore, the original price is $53.33.

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