Manit has been working with the function
[tex]f(x) = a(x - h)3 + k[/tex]
He chose values for a, h, and k, graphing the function, and then chose just one of those parameters to change. Each time he changed the parameters, he graphed the function again. But he can't remember which parameter he changed. Was it a, h, or k? Determine which parameter he was working with and justify your decision.
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Answer:

Step-by-step explanation:

[tex]6x^2-28x = - 16\\\\6x^2-28x + 16=0\\\\3x^2-7x+8=0\\\\9x^2-21x+24=0\\\\(3x)^2-2\cdot3x\cdot\frac72+(\frac72)^2-(\frac72)^2+24=0\\\\(3x-\frac72)^2-\frac{49}4+24=0\\\\(3x-\frac72)^2-12\frac{1}4+24=0\\\\(3x-\frac72)^2+12\frac{3}4=0\\\\(3x-\frac72)^2=-12\frac{3}4[/tex]

Step-by-step explanation:

A(x) = x² + 10x -75

= (x + 15)(x - 5)

Answer:

(x+15)(x-5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

if you have the option, you can say

# of people ≠ 43

Answer:

31/14

Step-by-step explanation:

We first need to get common denominators, so we multiply the 16 and the 7 by 2, to get 32/12. Now we can subtract since the fractions have common denominators. After subtracting we get 31/14 or 2 3/14. Hope this helps!

Answer:12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

because i am smort

Answer:

Simplify the expression.

7x2+14x−3

Step-by-step explanation:

The required simplification can be given as 7x²+ 14x - 3

What is simplification?

The operation in mathematics to process and interpret the relation to make function simple or more simple is called simplify and the phenomenon is called simplification.

We have,
= (5x² + 8x - 3) + (2x² - 7x + 13x)

= 5x²+ 2x²+ 8x - 7x + 13x - 3
= 7x²+ 14x - 3

Thus, the required simplification can be given as 7x²+ 14x - 3

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Answer:

Distributive property

Step-by-step explanation:

when you distribute the left sid dit equals the right

Answer:

50 cats would take 6 hours to catch 75 rats.

Step-by-step explanation:

After reading the statement we noticed the existence of two relationships:

1) The amount of cats is directly proportional to the quantity of caught rats.

2) The amount of cats is inversely proportional to time taken to catch rats.

That is to say:

[tex]n \propto \frac{x}{y}[/tex]

[tex]n = k\cdot \frac{x}{y}[/tex] (Eq. 1)

Where:

[tex]n[/tex] - Amount of cats, dimensionless.

[tex]x[/tex] - Amount of caught rats, dimensionless.

[tex]y[/tex] - Time, measured in hours.

[tex]k[/tex] - Proportionality ratio, measured in hours.

Then, we obtain the following relationship by eliminating the proportionality ratio in (Eq. 1):

[tex]\frac{n_{1}\cdot y_{1}}{x_{1}} = \frac{n_{2}\cdot y_{2}}{x_{2}}[/tex] (Eq. 2)

Where:

[tex]n_{1}[/tex], [tex]n_{2}[/tex] - Initial and final amounts of cats, dimensionless.

[tex]x_{1}[/tex], [tex]x_{2}[/tex] - Initial and final amounts of caught rats, dimensionless.

[tex]y_{1}[/tex], [tex]y_{2}[/tex] - Initial and final times, measured in hours.

Now we clear final time in (Eq. 2):

[tex]y_{2} = y_{1}\cdot \left(\frac{n_{1}}{n_{2}} \right)\cdot \left(\frac{x_{2}}{x_{1}} \right)[/tex]

By knowing that [tex]y_{1} = 2\,h[/tex], [tex]n_{1} = 12[/tex], [tex]x_{1} = 6[/tex], [tex]n_{2} = 50[/tex], [tex]x_{2} = 75[/tex], then we get that time taken by 50 cats to catch 75 rats is:

[tex]y_{2} = (2\,h)\cdot \left(\frac{12}{50} \right)\cdot \left(\frac{75}{6}\right)[/tex]

[tex]y_{2} = 6\,h[/tex]

50 cats would take 6 hours to catch 75 rats.

convert 32 1/4 into an improper fraction

Answer:

-30n+42

Step-by-step explanation:

6(−5n+7)

=(6)(−5n+7)

=(6)(−5n)+(6)(7)

=−30n+42

Answer: − 30 n + 42

Step-by-step explanation:

Answer:

1/4 pound(s) of candy in each bag

Step-by-step explanation:

3 1/2 (pounds of candy) ÷ 14 (goodie bags) = ?

To make this easier let's turn 3 1/2 into a improper fraction and flip 14/1 (14/1 to 1/14):

3 1/2 = 7/2       14/1 = 1/14

Now we multiply:

7/2 x 1/14 = 7/28 = 1/4

(When you divide fractions, you can flip the second fraction and multiply and get your answer. Remember to simplify once you get your answer!)

Hope I helped! Sorry if wrong!

Answer:

1/4 pounds

Step-by-step explanation:

The product of two positive numbers is always greater than either number the statement is false.

A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. In several numeral systems, the same set of symbols may represent various numbers.

Given that the product of two positive numbers is always greater than either number.

To understand this let's take an example take two numbers and multiply them.

2 x 5 = 10

Then take 2 and 0.5 and multiply them.

2 x 0.5 = 1

Here the result of the product is 1 which is less than 2. Therefore, if the product of two positive numbers is always greater than either number the statement is false.

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Answer:

9/4 or 2¼

Step-by-step explanation:

Answer: do i solve for a or sum?

Step-by-step explanation:

Answer:

The answer is "[tex]\bold{T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5}[/tex]"

Step-by-step explanation:

Given value:

Temp-maximum=[tex]18^{\circ}[/tex]  

Temp. minimum = [tex]3^{\circ}[/tex]

It is halfway between 10 am and 10 pm to 4 am.  

The sinus and cosine roles could be used throughout the year to predict fluctuations in climate models. Its type of formula that can be used to model such information is:  

[tex]T = A \cos B(t-C) + D,[/tex] where parameters are A, B , C, D, T is the ° C temperature and t is the time (1-24)

[tex]A = amplitude = \frac{(T_{max} - T_{min})}{2}\\\\[/tex]

                       [tex]= \frac{(3 - 18)}{2}\\\\= - \frac{15}{2}\\\\ = -7.5[/tex]

[tex]B = \frac{2 \pi}{24}\\\\[/tex]

   [tex]= \frac{\pi}{12}[/tex]

[tex]C = \text{ units translated to the right}= 4[/tex]

[tex]D = y_{min} + amplitude = units \ translated \ up\\\\[/tex]

D = 7.5 + 3 = 10.5

Its trigonometric function equation that model temperature T hours after midnight in Johannesburg t.

[tex]T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5[/tex]

Answer:

Hope this helps.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

(-k + 8)(-2k² - 8k - 1)

We can use FOIL to solve this.

(-k * -2k²) + (-k * -8k) + (-k * -1) + (8 * -2k²) + (8 * -8k) + (8 * -1)

2k³ + 8k² + k + (-16k²) + (-64k) + (-8)

2k³ - 8k² - 63k - 8

Best of Luck!

Answer:

D.780.8

Step-by-step explanation:

multiply 244 and 3.2 and you get D. hope this helps.

Answer:

B (780 4/5)

Step-by-step explanation:

He’s buying 24 boxes, and each box weighs 3 1/5 pounds. So we need to multiply 24 x 3 1/5, resulting in 780 4/5

So sorry if I’m wrong. Have a good day!

~Louella Marie Smith♥️

Answer:

- 29

Step-by-step explanation:

Step 1:

- 16 - ( - t ) = - 45       Equation

Step 2:

- 16 + t = - 45      Open Parenthises

Step 3:

t = - 45 + 16      Add 16 on both siddes

Answer:

t = - 29

Hope This Helps :)

Answer:

t = -29

Step-by-step explanation:

Step 1: Write equation

-16 - (-t) = -45

Step 2: Solve for t

Step 3: Check

Plug in t to verify it's a solution.

-16 - (-(-29)) = -45

-16 - 29 = -45

-45 = -45

Answer:

85 becacuse 20×25 = 85 x=85

Answer:

You can also calculate how much you save by simply moving the period in 25.00 percent two spaces to the left, and then multiply the result by $18 as follows: $18 x . 25 = $4.50 savings.

Answer:

Step-by-step explanation:

9 kg  x   2.2 pounds

                   1 kg

= 19.8 pounds

Answer:

19.8

Step-by-step explanation:

Answer:

462

Step-by-step explanation:

Sum = n/2 x (a + Tn)

= 21/2 x (2 + 42)

= (21 x 44)/ 2

= 924/2

2 + 4 + 6 + 8 + 10 + 12 + . . . . + 42 = 462

Answer:

$24.90

Step-by-step explanation:

Answer:

24.90

Step-by-step explanation:

Answer:

[See Below]

Step-by-step explanation:

____________________

✦ Solve:

____________________

So your answer would be:

____________________

~Hope this helps Mate. If you need anything feel free to message me.

[tex]-Your~ Friendly~ Answerer,~Shane[/tex] ☺

Answer:

time =T=6 years

principal = P=$800

rate = R= 2%

interest = (P*T*R)/1000

             = 800*6*2/100

             = 96

Step-by-step explanation: