f(x) = (x - 3)² +5 transformations?

Answer:

a = 60

b = 90

c = 150

Step-by-step explanation:

Numerele a, b și c sunt direct proporționale cu 2, 3 și 5.

Unde k este constantă de proporționalitate

a ∝ 2

a = 2k

b ∝ 3

b = 3k

c ∝ 5

c = 5k

Dacă media aritmetică a celor trei numere este egală cu 100, determinați numerele a, b și c

= 2k + 3k + 5k / 3 = 100

= 10k / 3 = 100

Cross Multiply

= 10k = 3 × 100

= 10k = 300

Împărțiți ambele părți la 10

k = 300/10

k = 30

Pentru numărul a

a = 2k

a = 2 × 30

a = 60

Pentru numărul b

b = 3k

b = 3 × 30

b = 90

Pentru numărul c

c = 5k

c = 5 × 30

c = 150

Prin urmare, a = 60, b = 90, c = 150

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, the complete question is:

A skydiver is 760 meters above the ground when he opens  his parachute. After opening the parachute, he descends  at a constant speed of 17 meters per second.

a) A function gives a relationship between two variables (an independent and dependent variable). The dependent variable is dependent on other variables  (output) while the independent variable is not dependent on other variables (input).

Let x be the number of seconds after the parachute is opened and y be the height of the parachute above the ground. Hence the equation that models the situation is:

y = 760 - 17x

At a height of 400 m, the number of seconds is:

y = 760 - 17x

400 = 760 - 17x

17x = 760 - 400

17x = 360

x = 21.2

x ≅ 21 seconds

It takes 21 seconds to reach a height of 400 m

b) Domain is the set of all independent variables. In this case the independent variable is the time (x)

The minimum time is at y = 760

y= 760 - 17x

760 = 760 - 17x

17x = 0

x = 0

The maximum time is at y = 0

y= 760 - 17x

0 = 760 - 17x

17x = 760

x = 44.7

Hence the domain = 0 ≤ x ≤ 44.7

Answer:

90 = | x - 122 |

Step-by-step explanation:

Given;

maximum temperature, 212 °F

minimum temperature, 32 °F

First, determine the difference of both values;

212 - 32 = 180

Divide this value by 2

180/2 = 90

90 = | x - 212 + 90|

90 = | x - 122 |

where;

x is the temperature of water

Thus, the absolute value equation that represents the minimum and maximum temperature of liquid water is 90 = | x - 122 |

Answer:

Conditional Statement

Step-by-step explanation:

Here in this question, we are interested in selecting which of the options given has the same truth value as the contrapositive. The correct answer here is the conditional statement.

Logically, a contrapositive statement has the same truth value as a conditional statement. What this means is that they are logically equivalent.

A conditional statement is however not logically equivalent to its converse and inverse.

Answer: C all real numbers

Step-by-step explanation:

I got the answer right on Edge

Answer:

sin(x) = 2/√13

Step-by-step explanation:

In the first quadrant , all the trig identity (sin, cos and tan) are all positive.

Given tan(x) = 2/3

According to TOA, tan(x) = opposite/adjacent = 2/3

opposite = 2

adjacent = 3

Using pythagoras theorem to get the hypotenuse;

Hyp² = opp²+adj²

Hyp² = 2²+3²

Hyp² = 4+9

Hyp² = 13

Hyp = √13

According to SOH, sin(x) = opp/hyp

sin(x) = 2/√13

Answer:

Acc to the exponential rule

{[A^m]} ^2

A ^m*n

Hence A raise to 3 whole raise to 2 is equal to

A raise to 3*2=6

That is A raise to 6

Answer:

−15x2+23x−6

Step-by-step explanation:

(3x−1)(−5x+6)

=(3x+−1)(−5x+6)

=(3x)(−5x)+(3x)(6)+(−1)(−5x)+(−1)(6)

=−15x2+18x+5x−6

=−15x2+23x−6

Moving digits around to a different place when counting up or down past 9 is called regrouping, borrowing, or trading.

There are several terms for moving digits around, some of them are:

All the above mean the same thing, and they perform the same purpose.

For instance:

Counting from 19 to 20 involves borrowing/carrying/trading/regrouping of 1

Hence, the correct option is (d) all of the above

Read more about regrouping at:

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Answer:

4 x 7

Hope this helps pla mark brainliest : )

The mathematical expression will be;

⇒ 28 = 4 × 7

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

''The number 28 is 4 times as many as 7''

Now,

Since, The algebraic expression is,

''The number 28 is 4 times as many as 7''

Hence, We can formulate;

⇒ 28 = 4 × 7

Thus, The The mathematical expression is find as;

⇒ 28 = 4 × 7

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Answer:

Its an integer and rational number

0

Step-by-step explanation:

all the ways you could do it so it would be 0

x-4y+5z=0,x+z-3y=0

6x-y+4z=0,x-7y+z=0

Answer:

the answer is -5

Step-by-step explanation:

Answer:

y=-2/3x+5

Step-by-step explanation:

2x+3y=3

3y=-2x+3

y=-2/3x+1

*input the point given)

-1=-2/3(-6)+1

5

hope this helped!!

Answer:

90 the answer is 90

Answer:

$250

Step-by-step explanation:

We can make a pretty simple equation to help us solve this. If the tiller costs $59 for each day and she uses it for 5 days, the first step of our equation would be (59 x 5). Then she buys a rake for 3 dollars, that is adding to the equation

(59 x 5) + 3

Fist solve what is inside the parentheses. 59 x 5 = 250

250 + 3 = 250

Answer:93/2 or 46 1/2

Step-by-step explanation:

15 1/2 ✖️3

Answer: 1, 4, -7

Step-by-step explanation:

Coefficients are numbers that are in front of a variable. Let's first determine the terms that have variables in them.

z, 4z², -7a

Since these all have variables in the terms, we know the coefficients are 1, 4, -7.

Answer:

The answer is below

Step-by-step explanation:

Let the number of bottles be y and the number of minutes the machine operate be x.

Given that number of bottles be is proportional to the number of minutes the machine operate, hence:

y is proportional to x.

⇒ y α x

y = kx, where k is a constant

when the number of bottles (y) = 250, the time the machine operates (x) = 20 minute. Therefore:

y = kx

250 = 20k

k = 250/20

k = 12.5

Hence the relationship between x and y is given as:

y = 12.5x

Plotting the function y = 12.5x using geogebra

Answer:

7

Step-by-step explanation:

A rectangle has a length that is 8 times the width

The area of the park is 392 square units

Let y represent the width of the park

Since the length is 8 times the width then, l= 8x

Therefore the width of the park can be calculated as follows

8x × x= 392

8x^2= 392

x^2= 392/8

x^2= 49

x= 7

Hence the width of the park is 7

Answer:

80%

Step-by-step explanation:

We first have to make this fraction into a percent

4/5 is equal to 80/100

80/100 is the same as 80% out of 100 so...

the answer is 80%

Answer:

its C because in C none of the x's repeat

Step-by-step explanation:

Answer:

Test statistic    |Z| = |-2.21|

calculated value Z = 2.21 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The researchers state that, in the U.S., today’s undergraduates not study an average of 14 hours per week

Step-by-step explanation:

Step(i):-

Given Mean of the Population' μ' = 14 hours per week

Given random sample size 'n'= 35

Mean of the sample (x⁻) = 16.7 hours per week

standard deviation of the Population (σ) = 7.2 hours per week

Level of significance = 0.05

Step(ii):-

Null hypotheses :H₁: µ = 14

Alternative Hypothesis : H₂: µ ≠ 14

Test statistic

              [tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

              [tex]Z = \frac{14-16.7}{\frac{7.2}{\sqrt{35} } }[/tex]

               Z = -2.21

            |Z| = |-2.21|

The tabulated value

                    Z₀.₀₅ = 1.96

calculated value Z = 2.21 > 1.96 at 0.05 level of significance

 Null hypothesis is rejected

The researchers state that, in the U.S., today’s undergraduates not study an average of 14 hours per week

Answer:

It stays the same

Step-by-step explanation:

if a person whose salary is Rs 18500 has to pay 13% tax pay 18500 into 13 by hundreds equals to 185 into 13

The amount of tax the person has to pay is Rupees  2405.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A person whose salary is Rupees 18500 has to pay 13% tax.

So, The amount of tax he has to pay is 13% of 18500.

∴ (13/100)×18500.

= 13×185.

= 2405 Rupees

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Answer: 240

Step-by-step explanation:

Distribute all numbers

24 - 6(-21)

24 - (-126)

24+216

240

Answer:

about 3.52..........

Answer:

See attached

Step-by-step explanation:

Given function:

Table and graph are attached

Zeros are included in the graph

Zero's are obtained:

x = 0 ⇒ y = 8

y = 0 ⇒  Solving quadratic equation

So zeros are (0, 8), (3.608, 0) and (-1.108, 0)