Which of the following equations has a graph in the
xy-plane for which y is always greater than or equal
to -1 ?
A) y = |x| - 2
B) y = x2 - 2
C) y = (x - 2)2
D) y = x3 - 2

Answers

Answer 1

Answer: (x-2)2

Step-by-step explanation:

Answer 2

The required equation is  [tex]y=(x-2)^2[/tex]

The correct answer is an option (C)

What is an equation?

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

For given question,

We have been given four equations.

We need to find an equation for which y is always greater than or equal

to -1.

Consider,

A. y = ∣x∣ - 2

We know that the minimum value of ∣x∣ is 0.

So, the minimum value of y becomes -2

Hence, this is not a required equation.

B. [tex]y=x^{2} -2[/tex]

We know that the square of any number is always positive.

The minimum value of [tex]x^{2}[/tex] is 0.

So, the minimum value of y becomes −2

Hence, this is not a required equation.

C. [tex]y=(x-2)^2[/tex]

We know that the square of any number is always positive.

The minimum value of y is zero.

This means, the y value of equation  [tex]y=(x-2)^2[/tex] is always greater than -1.

D. [tex]y=x^3-2[/tex]

We know that [tex]x^3[/tex] can go have negative values. This means it may have value that tends to negative infinity.

This means, the y can be less than -1 and this is not a required equation.

Therefore, the required equation is  [tex]y=(x-2)^2[/tex]

The correct answer is an option (C)

Learn more about the equation here:

https://brainly.com/question/13170101

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Which Of The Following Equations Has A Graph In Thexy-plane For Which Y Is Always Greater Than Or Equalto

Related Questions

Hao bought a 16-pound bag of dog food. If his dog eats pound of food every day, for how many days will the bag of dog food last?​

Answers

Answer:

uh 1 pound per day 16 pounds so 16 days, i guess

Step-by-step explanation:

If it’s asking for if he eats 1 pound per day than 16 days

Alanna is painting a border on a wall. The border consists of kite-shaped figures as shown.

3 kites are connected at 1 point.

Each kite measures 6 inches across and 12 inches long. The wall is 12 feet across. How many square inches of the wall will be covered with kites?

Answers

Answer:

its 864

Step-by-step explanation:

lil uzi vert is the best ;)

PLEASE MARK BRAINLIEST!!!!!!!!!!!!!

Answer:

c, 864

Step-by-step explanation:

on edgunuity i got it right

What's 9+7
Please help

Answers

Answer:

9 + 7 = 16

9 - 7 = 2

9/7 = 1.28571429

9 x 7 = 63

Step-by-step explanation:

have a good day

Answer:

16

Step-by-step explanation:

because if you add the 9 and 7 together it will get you to 16

for Example:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

1 2 3 4 5 6/7 8 9 10 11 12 13 14 15 16

you just add 9 and 7 and you will get 16

so that answers your question

What's 9+7  Please help

answer: 16

Hope this helps

please help me need help

Answers

Answer:

Step-by-step explanation: So all you do it cut the shape up like into in long rectangle and one really tiny rectangle and then do. 3x12 and then 1x3 and then add the answers up so it should equal 39

Please help me and happy april fools day! B)

Answers

Answer:

A,C,D,F

Step-by-step explanation:

(X8.6.PS-12
Question Help
A circular flower bed is 20 m in diameter and has a circular sidewalk around it that is 2 m wide.
Find the area of the sidewalk in square meters. Use 3.14 for it.
The area of the sidewalk is m2.
(Round to the nearest whole number as needed.)
Enter your answer in the answer box and then click Check Answer.
Clear All
Check Answer
All parts showing

Answers

Answer:

area = 138 m²

Step-by-step explanation:

radius of large circle = 12 m

radius of small circle = 10 m

large circle area = πr² = (3.14)(12²) = 452.16 m²

small circle area = πr² = (3.14)(10²) =314 m²

452.16 - 314 = 138.16 m²

Whales have one of the longest gestation periods of any mammal. According to a website, the mean gestation period for a whale is 15 months. Assume the distribution of gestation periods is Normal with a standard deviation of 12 months
a. Find the standard score associated with a gestation period of 13.8 months
b. Using the Empirical Rule and your answer to part a, what percentage of whale pregnancies will have a gestation period between 13.8 and 15 months?
c. Would it be unusual for a whole to have a gestation period of 21 months? Why or why not?
The standard score associated with a gestation period of 13.8 months is __________.

Answers

Answer:

a) The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex]

b) 34% of whale pregnancies will have a gestation period between 13.8 and 15 months.

c) Since when [tex]X = 21[/tex], [tex]Z = 5 \geq 2[/tex], it would be unusual for a whale to have a gestation period of 21 months.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If [tex]Z \geq 2[/tex] or [tex]Z \leq -2[/tex], the measure X is considered to be unusual.

According to a website, the mean gestation period for a whale is 15 months. Assume the distribution of gestation periods is Normal with a standard deviation of 1.2 months.

I corrected to 1.2 because it is what makes sense considering the questions.

This means that [tex]\mu = 15, \sigma = 1.2[/tex]

a. Find the standard score associated with a gestation period of 13.8 months

This is Z when X = 13.8. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{13.8 - 15}{1.2}[/tex]

[tex]Z = -1[/tex]

The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex]

b. Using the Empirical Rule and your answer to part a, what percentage of whale pregnancies will have a gestation period between 13.8 and 15 months?

The standard score associated with a gestation period of 13.8 months is of [tex]Z = -1[/tex], which means that it is one standard deviation below the mean.

The normal distribution is symmetric, which means that of the approximately 68% of measures within one standard deviation of the mean, 68%/2 = 34% are within one standard deviation below the mean(in this case, 13.8) and the mean(in this case 15), and 34% are within the mean and one standard deviation above the mean.

So 34% of whale pregnancies will have a gestation period between 13.8 and 15 months.

c. Would it be unusual for a whale to have a gestation period of 21 months? Why or why not?

Let's find the z-score

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{21 - 15}{1.2}[/tex]

[tex]Z = 5[/tex]

Since when [tex]X = 21[/tex], [tex]Z = 5 \geq 2[/tex], it would be unusual for a whale to have a gestation period of 21 months.

Consider the parabola given by the equation: f(x) = 2x2 + 14.0 – 4
Find the following for this parabola:
A) The vertex:
B) The vertical intercept is the point
C) Find the coordinates of the two z intercepts of the parabola and write them as a list, separated by
commas:
It is OK to round your value(s) to to two decimal places.

Answers

Answer:

Step-by-step explanation:

f(x)  = 2x² + 14x - 4

= 2(x² + 7x) - 4

= 2(x² +7x + 3.5²) - 2(3.5²) - 4

= 2(x+3.5)² - 28.5

vertex (3.5, -28.5) = (7/2, -57/2)

The vertical intercept is the y-intercept, i.e., f(0) = -4.

The x-intercepts are the values of x for which y=0.

2x² + 14x - 4  = 0

x = [-14±√(14²-4(2)(-4))]/[2(2)] = [-7±√57]/2 ≅ -7.27, 0.27

Does this graph represent a function? Why or why not?

Answers

Answer:

The answer is a because it does pass the verticle line test

2. Write a polynomial function of least degree with rational coefficients so that P(x)=0 has the given root.
4 - 5i

Answers

Answer:

p(x) = x^2 - 8x + 41

Step-by-step explanation:

If a polynomial with rational coefficients has a complex root, then the roots come in complex conjugate pairs. If the polynomial we need to find has the root 4 - 5i, then it must also have its complex conjugate 4 + 5i as a root.

p(x) = [x - (4 - 5i)][x - (4 + 5i)]

p(x) = [(x - 4) + 5i][(x - 4) - 5i]

Now it's a difference of two squares.

p(x) = (x - 4)^2 - (5i)^2

p(x) = x^2 - 8x + 16 + 25

p(x) = x^2 - 8x + 41

PLEASE I NEED HELP CLICK ON THIS IMAGE

Answers

Answer:

24 miles per hour.

Step-by-step explanation:

you divide 144 by 6 to get 24.

Answer:

24 miles per hour

Step-by-step explanation:

To find the mph rate, you just have to take the number of miles traveled, divided by the time.

So:

144 ÷ 6 = 24

Which means they were traveling at 24 miles per hour

it is a set of points on given plane which is equidistant from a fixed point called the center​

Answers

Answer: circle

Step-by-step explanation:

The set of points on a given plane which is equidistant from a fixed point that is called the center​ simply describes a circle.

We should note that the straight line that goes through the centre of a circle is referred to as the diameter while half of the diameter is the radius which is drawn from the center of the circle.

Subtract 9x^2 – 10x + 1 from – 2x^2 + 4x – 10.

Answers

Answer:

Step-by-step explanation:

the answer is 11x^2-14x+11 umm thats  what i got    

( 9x² - 10x + 1 ) - (-2x² + 4x - 10 )

9x² + 2x² = 11x²

-10x - 4x = -14x

1 - (-10) = 1 + 10 = 11

so the answer is

11x² - 14x + 11

Jean worked 47 hours last week and was paid $527. How much was she paid per hour?

Answers

Answer:

11.2127659574

Step-by-step explanation:

Answer:

$11.21 per hour.

Step-by-step explanation:

Divide the pay by the hours worked and round to the nearest tenth.

527/ 47 = 11.21276596 then round to 11.21

Find the area of the trapezoids

Answers

16 would be the answer.

A rectangle with 8 cm width and 3 cm length What is the perimeter and area of the rectangle?​

Answers

Answer:

P=22cm

A=24cm²

Step-by-step explanation:

Choose the fraction that is NOT equivalent to 2/2?
A.1/1
B.2/1
C.3/3
D.4/4

Answers

Answer:

B 2/1

Step-by-step explanation:

2/2=1

3/3=1

4/4=1

and 2/1=2

The answer is B 2/1

Please help me with this geo question

Answers

Answer:

option c buddy!!!.....

A hipopótamos weight 1.5 tons what is its weight in ounces

Answers

Answer:

48000

Step-by-step explanation:

multiply the mass value by 32000

Answer:

48000

Step-by-step explanation:

.

(11x-28) + (10x-17) combine like terms

Answers

Answer:

21x-45

Step-by-step explanation:

(11x-28)+(10x-17)=11x-28+10x-17=21x-45

Hope this helps =]

Hey there!

(11x - 28) + (10x - 17)

= 11x - 28 + 10x - 17

COMBINE the LIKE TERMS

= (11x + 10x) + (-28 - 17)

= 11x + 10x - 28 - 17

= 21x - 45

Therefore, your answer is: 21x - 45

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

p(z) = 23-8. Write p(z) as a product of three linear factors

Answers

Answer:

23 of 8

23/8

23-8 is that it? it seems like something I did in class

-2(x+2)=1/4(-8x-4) how many solutions does this have

Answers

Answer:

It has no solutions.

-2(x+2)=1/4(-8x-4) \

You have to water it down like a normal equation.

-2x-4=-2x-1

& from here you can just tell it won't have any solutions since it is not equal.

find ratio of 13cm : 65m​

Answers

Answer:

1:5

Step-by-step explanation:

13cm: 65cm = 13cm/65cm =13/65 = 1/5= 1:5

Find the perimeter of the triangle.

Answers

9514 1404 393

Answer:

  84 in

Step-by-step explanation:

The Pythagorean theorem is used to find the length 'b'.

  b^2 +12^2 = 37^2

  b = √(37^2 -12^2) = √1225 = 35

Then the perimeter is the sum of side lengths:

  P = a + b + c = 12 + 35 + 37

  P = 84 . . . inches

Answer:

in triangle

b=√(37²-12²)=35

perimeter of the triangle.=sum of all side

=37+12+35=84in

Whoever answers the questions correctly gets brainlist

Answers

Answer:

2. B

3. B

4. 2(7k+5h)

5. $325

Step-by-step explanation:

2) "X decreased by the sum of 2x + 5" Decreased means to be lowered, so that means this problem has subtraction in it. It also says x is being decreased BY the sum of 2x + 5 so that means 2x + 5 needs to be solved, which calls for parentheses. B best fits the description.

3) It is B because if you distribute the 8 to 2a and 3b, you'll get 16a and 24b, which is the given expression.

4) The given expression is 10h + 14k and in the equivalent expression, you are given 5h. To get from 10 to 5, you must divide by 2. This tells you that 2 is being distributed, so you put 2 before the parentheses. Since you divided 10 by 2, you want to do the same to 14, which is 7. Therefore, it is 2(7k+5h).

5) You are given the hourly charge, which is $25. This means that they charge $25 per hour/for every hour. You want to find the cost for 13 hours, so you multiply the hourly charge by 13 hours. 25 x 13 = 325.

What is the measure of the missing angle?
40°
75°

Answers

I’m assuming it’s out of 180 so 40+75=115
180-115=65
65°

Answer:

65

Step-by-step explanation:

40+75=115

180-115=65

If this is an triangle

HELPPPPPPPPPPPPPPPP

A system of linear equation can be solved in two ways. One way is solving by which uses the coordinates of the point of as the answers. Another way is called . In this method we creates opposites to eliminate one of the variables and solve for the other variable. The last method is solving by . In this method we isolate a variable and substitute what is equal to that in the other equation for that variable and solve the last equation that we get.

Answers

Answer:\Another way to solve a system of equations is by substitution. With this method, you are essentially simplifying one equation and incorporating it into the other, which allows you to eliminate one of the unknown variables. Consider the following system of linear equations:

Step-by-step explanation:

hope this helps!

Answer:

Graphing, elimination, substitution are the three methods in order of the question

Step-by-step explanation:

You run a hotel with 1465 rooms. You currently have 296 rooms reserved by individuals and 651 rooms reserved by groups for a particular upcoming weekend. Historical trends indicate that this far out from the date in question, your booking rates are probably 67% for individual reservations and 56% for group reservations. Do you expect to be undercooked or overcooked for the upcoming weekend

Answers

Answer:

Hotel is over booked by 140 rooms

Step-by-step explanation:

Total number of hotel rooms = 1465

number reserved by individuals = 296

number reserved by groups = 651

booking rates = 67% for individual ,  56% for groups

Determine if you are under booked or overbooked for the weekend

let X represent the number of rooms booked by individuals

and Y represent the number of rooms booked by groups

number of reserved room for individuals

= 67% of X = 296

X = 67% + 33%

   = 296 + ( (296 / 67 ) * 33 )

   = 296 + 146 ≈ 442

number of rooms reserved for groups

= 56% of Y = 651

Y =( 651 / 56 ) * 100

   ≈ 1163

Total rooms booked = X + Y

                                  = 442 + 1163 = 1605

To determine if under booked or over booked

Total rooms booked - Total number of hotel rooms

 =  1605 - 1465

 =  140 ( Your Hotel is over booked )

training for a cycle race in the first week if I was 195 miles in the second we can manage is 243 Miles what is the percentage increase in distance​

Answers

Answer:

24.61%

Step-by-step explanation:

The distance covered in first week = 195 miles

The distance covered in the second week = 243 miles

We need to find the percentage increase in distance​. It can be calculated as follows :

[tex]\%=\dfrac{243-195}{195}\times 100\\\\=24.61\%[/tex]

So, the increase in distance is equal to 24.61%.

Find the surface area of the prism. A solid with six rectangular faces that has length 5 inches, width 3 inches, and height 7 inches. 5 in 3 in 7 in The surface area of the prism is ?

Answers

Answer:

290in

Step-by-step explanation:

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