For real numbers x and y, what is the largest possible value of [tex]5 - (x-3)^2[/tex]?

Answers

Answer 1

Answer:

5

Step-by-step explanation:

Anything other than making x - 3 = 0 will make x - 3 have a value. No matter what happens  (x - 3)^2 is positive. There is a minus sign outside the brackets which makes (x - 3)^2 negative.

That means that something is always taken away from 5 unless x = 3. Try and find any value that will make a number bigger than or equal to five that isn't x = 3.

By the way, I'm assuming the question is y = 5 - (x - 3)^2


Related Questions

Points A(p,6), B(-3,q) and C(r,8) are on a line whose equation is y=-2x+3. How find the unknown coordinates of A,B, and C?

Answers

9514 1404 393

Answer:

p = -3/2q = 9r = -5/2

Step-by-step explanation:

Put the given coordinates in the equation for the line and solve for the unknown.

  y = -2x +3

  (p, 6) ⇒ 6 = -2p +3   ⇒   p = -3/2

  (-3, q) ⇒ q = -2(-3) +3   ⇒   q = 9

  (r, 8) ⇒ 8 = -2r +3   ⇒   r = -5/2


5. Determine the number of square units in the area of the trapezoid whose bases are 3-X units and 10+X units and whose height is 6 units.

Answers

Answer:

39 units

Step-by-step explanation:

The formula for area of trapezoid is 1/2h(a+b) where a and b are the base/parallel sides.

We have,

a=3-x

b=10+x

h=6

Now,

Area=1/2h(a+b)

       =1/2*6(3-x+10+x)=3(13)=39 units

Five students want to play dodgeball and they all want to be a team captain. To be fair, the gym coach decides to place the names of all five students into a hat, mix well, and select two names at random without replacement. The names chosen will be the team captains. Each outcome in the sample space for the random selection of two team captains is equally likely. What is the probability of each outcome in the sample space?
1/25
1/20
1/10
1/5

WARNING! PEOPLE HAVE BEEN PUTTING THE FOLLOWING WRONG ANSWERS:
1/10 AND 1/5 --> THESE TWO ARE WRONG.

I THINK IT IS 1/20. CAN SOMEONE CONFIRM?

Answers

Answer:

1/25

Step-by-step explanation:

There are five students. They all have a 1/5 chance. You have to include the chance of all five students, so each student has a 1/25 chance.

Cho X là đại lượng ngẫu nhiên có hàm mật độ dạng


fx=k(x-1)(4-x) nếu x∈0;4.

Tìm k, F, EX, P0

Answers

Wonder when she would be mine

help giving brainilest, heart, and 5 stars ​

Answers

Answer:

4 = 6

5 = -17

Step-by-step explanation:

4. a² - b / b² - c

a² = 2² = 4

b = -2

4 - (-2) = 4 + 2 = 6

6 / b² - c = 6/4 - 3 = 6/1 = 6

4 = 6

5. -3x² + 2xy + 7

-3x² = -3 * -2² = -3 * 4 = -12

2xy = 2 * -2 * 3 = -4 * 3 = -12

-12 + -12 + 7 = -24 + 7 = -17

5 = -17

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Graph the function f(x)=x^2+2x-8
what are x intercepts
what are y intercepts
what is maximum or minimum value

Answers

Answer:

The x intercepts are 2, -4

The y intercept is -8

The minimum is -9

Step-by-step explanation:

f(x)=x^2+2x-8

To find the x intercepts, set equal to zero and factor

0 =x^2+2x-8

0 = (x+4)(x-2)

Using the zero product property

0 = x+4    0 = x-2

x = -4        x = 2

The x intercepts are 2, -4

To find the y intercepts, set x =0 and solve for y

y = 0^2 +2(0) -8

y = -8

The y intercept is -8

Since the coefficient of the x^2 is positive, the parabola opens up so we have a minimum.

The vertex is  halfway between the x intercepts

(-4+2)/2 = -2/2 = -1

To find the minimum substitute x= -1 into the equation

f(x)=x^2+2x-8

f(-1) = (-1)^2 +2(-1)-8 = 1-2-8 = -9

The minimum is -9

Graph attached

y=x²+2x-8y=x²+4x-2x-8y=x(x+4)-2(x+4)y=(x+4)(x-2)

x intercepts (-4,0) and (2,0)

Y intercept :-

Put x=0

y=-8

(0,-8)

Vertex is the minimum

(-1,-9)

Evaluate (657.3÷10)-(94.5÷5)

Answers

Answer:

Ans; (657.3÷10)-(94.5÷5) = 65.73 – 18.9 = 46.83

I hope I helped you^_^

Select the table representing a linear function. (Graph them if necessary.)
O A. x 0
7
2 3
y 1 2 56
B. х 0
7
3
2
0
y -2 -1
-1
O c. xo
1
N
3
y 10 12 14 16
-OD. x 0 1 2 3
y 5 3 1 2

Answers

Answer:

Option C

Step-by-step explanation:

the linear equation y = 2x+10 matches with option c

The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00. Write a function to represent this scenario.

Which graph represents this wage increase for x < 12?

Answers

Answer:

bhlhgewafhjffdgnhgreesdbjitbbbbhbfghjkkbiiuuhhh

How much would $150 invested at 8% interest compounded continuously be worth after 17 years? Round your answer to the nearest cent.
A(t)= P•e^rt
A. $471.39
B. $555.00
C. $354.00
D. $584.43

Answers

9514 1404 393

Answer:

  D.  $584.43

Step-by-step explanation:

Using the given formula with the given values, we find ...

  A(17) = 150·e^(0.08·17) = 584.43

5. Given a test in which there is overlap of the test results for diseased and non-diseased individuals (e.g., normal individuals are found who have test results ranging in value from 8 to 15, and diseased individuals are found who have test results ranging in value from 12 to 25, so that in the range of values 12 to 15 there are both normal and diseased individuals), if the current cutoff value lies in the range of this overlap and you move the cutoff value toward the normal population (lower numbers in this example), the true negative numbers will _____________________ . (5 points)

Answers

Answer:

True negative numbers are considered as diseased individual. So, the true negative numbers will increase

Step-by-step explanation:

True negative numbers are considered as diseased individual. So, the true negative numbers will increase.


simplify by using the distributive property and then combine like terms:
4 (3x – 9)
ANSWER PLS

Answers

Answer:

12x - 36

Step-by-step explanation:

4 (3x – 9)

Distribute

4 *3x - 4*9

12x - 36

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{4(3x - 9)}[/tex]

[tex]\huge\text{= 4(3x) + 4(-9)}[/tex]

[tex]\huge\text{= 12x - 36}[/tex]

[tex]\huge\boxed{\textsf{Answer: 12x - 36}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment \& enjoy your assignment!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Anyone know how to do this?

Answers

Answer:

C

Step-by-step explanation:

The graph on the left is a closed circle at x=2, and the graph is only extending to lower values so it will only apply when x ≤ 2

The only piecewise functions that include x ≤ 2 are A and C

But the y intercept of the graph is at 2, so C is the only answer

What is the solution to 4x + 2 = 6(-2x - 5) ?
Group of answer choices

16

2

-16

-2

Answers

Answer:

x= -2

Step-by-step explanation:

4x + 2 = 6(-2x - 5)

Distribute

4x+2 = -12x-30

Add 12x to each side

4x+2+12x = -12x-30+12x

16x+2 = -30

Subtract 2 from each side

16x+2-2=-30-2

16x = -32

Divide by 16

16x/16x = -32/16

x = -2

the answer is x=-2 !!!!!!!!

write each equation explicitly in terms of x. then indicate whether the equation is a function. y^2-x^2+1=50

Answers

Step-by-step explanation:

y² - x² + 1 = 50

y² = x² - 1 + 50 = x² + 49

y = ±sqrt(x² + 49)

this is not a function in that sense, as for every x there are not one but 2 y (result) values.

In tennis, a player must win 6 games in order to win a set. However, winning 6 games does not guarantee that the player will win the set. If g is the number of games the player won and s is the number of sets the player won, which of the following inequalities must be true?
a. s ≤ 6g
b. s ≥ 6g
c. 6s ≤ g
d. 6s ≥ g

Answers

Answer:

A: s ≤ 6g

Step-by-step explanation:

Had this on a test that I scored 100 on.

The inequality that is true if winning 6 games doesn't guarantee you as a winner in the set is 6s ≤ g.

What are inequalities?

An inequality is a relationship that makes a comparison between two non-equal values, integers or other mathematical equations.

From the given information, we have the following claim that:

A player must win 6 games in order to win a set. But winning those 6 games doesn't guarantee winning the set.

So, we are given certain condition attached that;

If "g" = number of games won, and "s" = number if set won.

Then, the inequality that is true for this condition is 6s ≤ g.

It implies that, the player truly won the six games but it doesn't guarantee him winning the set.

Learn more about inequalities here:

https://brainly.com/question/24372553

Help me with this please.

Answers

Answer:

the answer should be B

Step-by-step explanation:

take the total of people who got the flu(63) and the amount of them who were vaccinated(35) and write it as a fraction. 35/63 in its simplest form is 5/9

urgent !!!! HELP NEEDED

Answers

Answer:

[tex]352\ yd^2[/tex]

Step-by-step explanation:

1. Approach

The surface area of a three-dimensional figure is the two-dimensional space around the figure. Simply put, if one was going to wrap the figure up in paper, the surface area is the amount of paper one would need to wrap the entirety of the figure. One can find the surface area of a figure by finding the area of each individual facet of the figure and then adding up the areas.

2. Finding the area of the triangular faces

The formula to find the area of a triangle is the following:

[tex]A_t=\frac{b*h}{2}[/tex]

Where (b) is the base of the figure, and (h) is the figure's height. Since there is only one type of triangular face, one only has to find the area of one triangular face and then multiply its measurement by four.

Triangle 1

[tex]A_t=\frac{b*h}{2}[/tex]

[tex]A_t=\frac{11*10.5}{2}[/tex]

[tex]A_1=\frac{115.5}{2}[/tex]

[tex]A_t=57.75[/tex]

3. Finding the area of the quadrilateral

The following formula can be used to find the area of a quadrilateral:

[tex]A_q=b*h[/tex]

Substitute the dimensions of the quadrilateral in and solve for its area:

[tex]A_q=b*h[/tex]

[tex]A_q=11*11[/tex]

[tex]A_q=121[/tex]

4. Find the total surface area of the figure

To find the total surface area of the figure, add up all of the area values of its faces. Remember the area of the triangular face is multiplied by four because there are four triangular faces.

[tex]4(A_t)+(A_q)=A[/tex]

[tex]4(57.75)+121=A[/tex]

[tex]231+121=A[/tex]

[tex]352=A[/tex]


Certain clouds form when temperatures fall below – 72°C. What is this temperature in degrees Fahrenheit

Answers

Answer:

-97.6°F

Step-by-step explanation:

The formula to convert the temperature is 9/5d + 32. Substitite -72 for d and solve!

9/5(-72) + 32

-129.6 + 32

-97.6

Best of Luck!

Answer:

-97.6

Step-by-step explanation:

When 8 is added to a certain number and the sum is multiplied by 3, the result is 57. Find the number.​

Answers

Answer:

The number is 11.

Step-by-step explanation:

[tex]3(8+x)=57\\24+3x=57\\3x=33\\x=11[/tex]

why infinity ( ) can’t be included in an inequality?

Answers

Answer:

Step-by-step explanation:

Because then the value on the other side will be unbounded by the infinity sign while expressing the answers on a number line.

please click thanks and mark brainliest if you like :)

You deposit $600 in an account earning 8% interest compounded annually. How much will you have in the account in 10 years?

Thank you, thank you! C:

Answers

9514 1404 393

Answer:

  $1295.35

Step-by-step explanation:

The compound interest formula can be used to find the account balance.

  A = P(1 +r)^t . . . . principal P invested at annual rate r compounded for t years

  A = $600(1 +0.08)^10 ≈ $1295.35

You will have $1295.35 in the account in 10 years.

Which compound inequality does the number line represent?
ILL MAKE BRAINLIEST PLEASE HELP

Answers

The third one. You just have to simplify the inequalities. Plz give brainliest

The compound ineqality which the number line represents will be 5x ≥ -15 or 5x ≤ 10 so option (B) must be correct.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

A mathematical expression is said to be unequal if the sides are not equal. Essentially, comparing any two values shows whether one is smaller, greater, or equal to the value on the other side of the equation.

In option (B) given that

5x ≥ -15

⇒ x ≥ -15/5

⇒ x ≥ -3

And

5x ≤ 10

⇒ x ≤ 10/5

x ≤ 2

By looking at the number line it is clear that the blue line is greater than -3 and less than 2 hence it will be correct.

For more about inequality?

brainly.com/question/20383699

#SPJ5

Simplify 1-31 +6+ (4 - 1). 8.
1.) 8
2.) 13
3.) 19
4.) 24

Answers

Step-by-step explanation:

By rule of bodmas rule

= 1 - 31 + 6 + 3 × 8

= 1 - 31 + 6 + 24

= 1 - 31 + 5 + 24

= - 30 + 5 + 24

= - 25 + 24

= -1

Now without using bodmas rule

= 1 - 31 + 6 + (4 - 1). 8.

=-30+6+4+(4-1)×8

=-23+4+(4-1)×8

=-19+4+(4-1)×8

=-15+(4-1)×8

=-15+3×8

=-15+24

=-9

MARK AS BRAINLIST IF IT IS USEFUL

What is one thousand minus on hundred and ten

Answers

Answer:

The answer is 890 . ...... :D

please help asap

Addition prop of equality
subtraction prop of quality
multiplication prop of equality
Division prop of equality
simplifying
distrib prop

Answers

Answer:

multiplication prop of equality, (multiplying both sides by 6)

simplifying, (not distrib prop as there is no parentheses)

Addition prop of equality, (adding 18 to each side)

simplifying

8x-5/6x
Find all real numbers for which the rational expression is undefined

Answers

9514 1404 393

Answer:

as written: noneperhaps intended: 0

Step-by-step explanation:

The expression written here is interpreted according to the Order of Operations as ...

  8x -(5/6)x

This reduces to (7 1/6)x, which is defined for all real numbers.

__

Maybe you intended the expression ...

  (8x -5)/(6x)

This expression is undefined where its denominator is zero, at x = 0.

The tree diagram represents an experiment consisting of two trials. P(c)=

Answers

Answer:

0.8

Step-by-step explanation:

To get to C, you must start by taking the lower of the first two branches

That has a probability of 0.4

C is the branch on your right and has a probability of 0.2

P(C) = 0.4 * 0.2 = 0.8

Answer:

.26

Step-by-step explanation:

One car travels 390 miles in the same amount of time it takes a second car traveling 3 miles per hour slower than
the first to go 372 miles. What are the speeds of the cars?
The speed of the cars are
miles per hour.

Answers

The first car is traveling at 65 miles per hour and the second car is traveling at 62 miles per hour.
Explanation:
390:x=372:(x-3)
372x=390(x-3)
372x=390x-1170
1170=390x-372x
1170/18=18x/18
x=65

x-3= 65-3=62

find the value of the trigonometric ratio. make sure to simplify the fraction if needed

Answers

Answer:

Cos C = a/h

= 21/35

Step-by-step explanation:

since cos is equal to adjacent angle over hypotenuse angle, so from the question we conclude Cos C = 21/35

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Discuss how citizens can remain active in influencing or participating in government. How carbonic acid formed and what is its role in chemical weathering 5+ ( 4g - 7) ____________ You may have visited a religious fair.Write a letter to your foreign pen friend describing the special features of the fair. Simplify, write without exponents.[tex]2*4^{2} *(128\frac{1}{4})[/tex][tex]_\sqrt[_]{_}[/tex]a.) 8b.) 20c.) 2d.) 64e.) 4f.) 16 In a collision, the human body will strike the seatbelt, steering wheel, dash or windshield at? Group of answer choices only 10 to 15 miles per hour the same speed as the vehicle twice the speed of the vehicle one half the speed of the vehicle Look at photo and answer. The electrician charges $50 per visit plus $12 per hour of work. Steve hires the electrician to do some work for his house. If Steve's budget is $200, how many hours could the electrician work?12.5 hours22 hours11 hours Two decades after the Emerald River Dam was built, none of the eight fish species native to the Emerald River was still reproducing adequately in the river below the dam. Since the dam reduced the annual range of water temperature in the river below the dam from 50 degrees to 6 degrees, scientists have hypothesized that sharply rising water temperatures must be involved in signaling the native species to begin the reproductive cycle.Which of the following statements, if true, would most strengthen the scientists hypothesis?(A) The native fish species were still able to reproduce only in side streams of the river below the dam where the annual temperature range remains approximately 50 degrees.(B) Before the dam was built, the Emerald River annually overflowed its banks, creating backwaters that were critical breeding areas for the native species of fish.(C) The lowest recorded temperature of the Emerald River before the dam was built was 34 degrees, whereas the lowest recorded temperature of the river after the dam was built has been 43 degrees.(D) Nonnative species of fish, introduced into the Emerald River after the dam was built, have begun competing with the declining native fish species for food and space.(E) Five of the fish species native to the Emerald River are not native to any other river in North America. Help me please.. Cules son la reglas cartogrficas? What is the value of x when y equals 66?y=0.985897x+0.194185 what is social health find the value of x if the measure of angle 2 is 12x+4 pls help ! hopefully you can read the whole thing :)) Which statement is most likely to be true for this distribution?::OOODooOooooooOOOOHEO A. The mean is less than the median.B. The mean is the same as the median.C. The mean is greater than the median. Six men working 8 hours a day dig a shamba in 5 days. How many more days will it take 4 men working 8 hours a day to finish the job?NOTE:PLEASE EXPLAIN IN DETAIL !!! I am smaller than 7 and I have two decimal places. I am 7 when rounded to the nearest whole number. The digit in the tenths places is an even number. The digit in the hundredths places is greatest 1 -digit odd number. None of my digits are repeated. What number am I ? 4. Name 3 countries that remained Democracies in western Europe after WWII.SEA Which types of vegetables are high in carbohydrates?Above ground vegetables contain more carbohydrates thanvegetables contain.