Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality. 13.2 and 6.7

(h ,k) —> (2 , –5)

g(x)=3x²-12x+7 —> y= 3(x-2)²-5

y=a(x–h)²+k —> a= 3 , h=2 , k= –5

(h ,k ) —> (2, –5)

I hope I helped you^_^

Answer:

C, Option 2, or (2,-5)

Step-by-step explanation:

edge 2021

Answer:

2 sqrt(2x-1)

Step-by-step explanation:

f(x) = sqrt(x+7)

g(x) = 8x-11

f(g(x))=

Place g(x) in for x in the function f(x)

f(g(x)) = sqrt( 8x-11 +7)

          = sqrt( 8x -4)

Factor out 4

          = sqrt( 4(2x-1)

          = 2 sqrt(2x-1)

[tex]\\ \sf\longmapsto f(x)=\sqrt{x+7}[/tex]

[tex]\\ \sf\longmapsto g(x)=8x-11[/tex]

[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-11+7}[/tex]

[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-4}[/tex]

[tex]\\ \sf\longmapsto f(g(x))=\sqrt{4(2x-1)}[/tex]

[tex]\\ \sf\longmapsto f(g(x))=2\sqrt{2x-1}[/tex]

Answer:

Step-by-step explanation:

9x^3,15x^5= 3x^3

The GCF is constructed by multiplying all the factors that are common to all the given expressions, exponentiated to the smallest power.

In our example, the following factors are common to all the given expressions: 3, x^3

Therefore, the GCF is equal to 3x^3.

Answer:

Step-by-step explanation:

Gene is playing a game with a bag of marbles. If 3 of the marbles are blue, 4 are green, and 7 are yellow and awarded prices for the marbles are $2 green $0.5 yellow $4 blue, the expected payout for Gens game is expressed as shown;

If a blue marble costs $4, 3 blue marbles will cost 3*$4 = $12

If a green marble costs $2, 4 green marbles will cost 4*$2 = $8.0

If a yellow marble costs $0.5, 7 yellow marbles will cost 7*$0.5 = $3.5

Total payout for Gene's game will be the equivalent to $12+ $8 + $3.5 = $23.5.

Hence Gene expected cost will be $21.5

Answer:

[tex]\boxed{\sf D. \ Parallelogram}[/tex]

Step-by-step explanation:

When we graph the points, the polygon is a quadrilateral with opposite parallel sides. The type of polygon formed by these points is a parallelogram.

Answer:

Parallelogram

Step-by-step explanation:

We'll graph all of the points from which we'll come to know that it is a parallelogram having opposite sides equal and parallel.

See the attached file for more understanding.

Answer:

17C5+11C5

Step-by-step explanation:

Well there are 17 and chooses 5 that's 17C5

there are 11 men abd chooses 5 that's 11C5

so add them up

17C5+11C5

The combination helps us to know the number of ways an object can be selected without a particular manner. The number of ways in which 5 men and 5 women can be selected is 2,858,856.

Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.

The combination helps us to know the number of ways an object can be selected without a particular manner. A combination is denoted by 'C'.

[tex]^nC_r = \dfrac{n!}{(n-r)!r!}\ , \ \ ^nP_r = \dfrac{n!}{(n-r)!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

Given that from a group of 17 women and 11 men, a researcher wants to randomly select 5 women and 5 men for a study.

Now, the number of ways for selection can be written as,

Number of ways in which men can be selected = ¹¹C₅ = 462

Number of ways in which women can be selected = ¹⁷C₅ = 6188

Further, the number of ways for selection can be written as,

Number of ways = Number of ways in which men can be selected × Number of ways in which women can be selected

Number of ways = 462 × 6188

Number of ways = 2,858,856

Hence, the number of ways in which 5 men and 5 women can be selected is 2,858,856.

Learn more about Permutation and Combination here:

https://brainly.com/question/11732255

#SPJ2

Answer:

Step-by-step explanation:

45n = (9 x 25) + 4 + (2x4)

45n = 225 + 4 + 8

45n/45 = 237/45

n = 5.26666...7

exactly 5.26666...7 buses would be needed.

realistically 6 buses are needed, as you cannot have part of a bus operating like a normal one

the exact answer can be classified as a rational number as it can represent a fraction.

Answer:

The outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.

Step-by-step explanation:

The outcomes provided are:

(A) 0, 1, 2, 6, 7, 8

(B) 0, 1, 2, 7, 8

(C) 0, 1, 7, 8

(D) 0, 1, 2, 8

Solution:

The random variable X can be defined as the number of employees who judge their co-workers by cleanliness.

The probability of X is:

P (X) = 0.65

The number of employees selected is:

n = 8

An unusual outcome, in probability theory, has a probability of occurrence less than or equal to 0.05.

Since outcomes 0 and 1 are contained in all the options, we will check for X = 2.

Compute the value of P (X = 2) as follows:

[tex]P(X=2)={8\choose 2}(0.65)^{2}(0.35)^{8-2}[/tex]

                [tex]=28\times 0.4225\times 0.001838265625\\=0.02175\\\approx 0.022<0.05[/tex]

So X = 2 is unusual.

Similarly check for X = 6, 7 and 8.

P (X = 6) = 0.2587 > 0.05

X = 6 not unusual

P (X = 7) = 0.1373 > 0.05

X = 7 not unusual

P (X = 8) = 0.0319

X = 8 is unusual.

Thus, the outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.

Answer:

The answer is below

Step-by-step explanation:

The weights of ice cream cartons produced by a manufacturer are normally distributed with a mean weight of 10 ounces and a standard deviation of 0.5 ounce. (a) What is the probability that a randomly selected carton has a weight greater than 10.21 ounces? (b) You randomly select 25 cartons. What is the probability that their mean weight is greater than 10.21 ounces

Answer:

Given that:

Mean (μ) = 10 ounces, standard deviation (σ) = 0.5 ounces.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score (z) is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\For\ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]

a) For x = 10.21:

[tex]z=\frac{x-\mu}{\sigma}\\\\z=\frac{10.21-10}{0.5}=0.42[/tex]

From the normal distribution table, probability that a randomly selected carton has a weight greater than 10.21 ounces  = P(x > 10.21) = P(z > 0.42) = 1 - P(z < 0.42) = 1 - 0.6628 = 0.3372

b ) For x = 10.21 and n = 25

[tex]\sqrt{x} \sqrt{x} z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\z=\frac{10.21-10}{0.5/\sqrt{25 } }=2.1[/tex]

From the normal distribution table, probability that a randomly selected carton has a weight greater than 10.21 ounces  = P(x > 10.21) = P(z > 2.1) = 1 - P(z < 2.1) = 1 - 0.9826 = 0.0174

The relative frequency for football is the number of people who like football divided by total people:

4/28 = 0.14

Answer: 0.14

B) isosceles

If the median to the base is perpendicular to the base =>

= > isosceles triangle

Answer:

See explanation below.

Step-by-step explanation:

A bullet shot at you will definitely hit you because of the direction it is travelling.

Your fight and flight response won't be activated either because of the speed of the event (bullet) or if you don't know how harmful a gun is (you'll remain calm/ignorant in this case)?

Try to post academic problems.

Best Regards!

Answer:

2pi*r(r+h)

Step-by-step explanation:

SEE IMAGE FOR SOLUTION

HAVE A GREAT DAY

Answer:

f(1) = 45

f(n) = f(n-1)*(4/5)

Step-by-step explanation:

f(1)

= 45(4/5)^(1-1)

= 45(4/5)^(0)          use law of exponents

= 45*1

= 45

f(1) = 45

f(n) = f(n-1)*(4/5)

Answer:

It's option D. -3 ± √5x+7/2

See the images below for step by step explanation. I also included a graph for better understanding of the inverse.

Answer:

The standard deviation is zero

Step-by-step explanation:

Given that:

Web site W receives orders for its products every day.

What is the standard deviation of the numbers of orders that Web site W received daily for the past 5 days?

If :

(1) The average (arithmetic mean) number of orders that Web site W received per day for the past 5 days is equal to the greatest of the numbers of orders that Web site W received daily for the past 5 days.

SO, IF the average (arithmetic mean) is greatest , therefore, this implies that the  number of orders per day remains the same. Then the standard deviation will be zero because the set of values for the number of orders per day for the five days is the same.( i.e contains identical numbers).

.(2) The range of the numbers of orders that Web site W received daily for the past 5 days is equal to 0.

The range is the difference between the greatest value and the smallest value.

i.e

greatest value -  smallest value = 0

greatest value =  smallest value

Therefore , the range is zero and the standard deviation will remain the same (zero)

Answer:

2

3

-5

0

Step-by-step explanation:

2×0+1×2=2

2×1+1×1=3

2×-3+1×1=-5

2×-2+1×4=0

Answer:

[tex]\large \boxed{\mathrm{Option \ C}}[/tex]

Step-by-step explanation:

[tex]{\mathrm{view \ attachment}}[/tex]

Answer:

30.9 mb

Step-by-step explanation:

Answer:

13i/5

Step-by-step explanation:

25z^2+140=-29      subtract 140 from both sides

25z^2=-169          now square root both sides.

[tex]\sqrt{25z^{2} }[/tex]=[tex]\sqrt{-169}[/tex]     a negative root forms i

5z=13i                    

z=13i/5

Answer:

z is 13i/5

Step-by-step explanation:

[tex]{ \sf{25 {z}^{2} + 140 = - 29}} \\ { \sf{25 {z}^{2} = - 169 }} \\ { \sf{ \sqrt{25 {z}^{2} } = \sqrt{ - 169} }} \\ { \sf{5z = \sqrt{169 \times - 1} }} \\ { \sf{5z = \sqrt{169} \times \sqrt{ - 1} }} \\ { \sf{5z = 13 \times \sqrt{ {i}^{2} } }} \\ { \sf{5z = 13i}} \\ { \sf{z = \frac{13i}{5} }}[/tex]

Answer:

95.2 is not an integer

and other are integers

Hi

5x²-x-4 = 0  

Δ= (-1)² - 4*5*(-4)

Δ =  1 -4*-20

Δ = 1  +80

Δ = 81  

√Δ=  9

as Δ ≥ 0 , so 2 solutions exist in R

S1 is :    ( 1+9) /2*5  =   10/10 = 1

s2 =      (1 -9)/2*5 =  -8/10 = -4*2 /2*5  = -4/5

Corrects answers are  A  and  D

Answer:

A. -4/5 And D. 1

Step-by-step explanation:

i just got it right

Answer:

Hello,

Step-by-step explanation:

[tex]f(x)=\dfrac{4}{x} \\\\g(x)=\dfrac{4}{x} \\\\\\(gof)(x)=f(g(x))=f(\dfrac{4}{x} )=\dfrac{4}{\dfrac{4}{x} } =\dfrac{4*x}{4} =x\\\\\\(fog)(x)=g(f(x))=g(\dfrac{4}{x} )=\dfrac{4}{\dfrac{4}{x} } =\dfrac{4*x}{4} =x\\[/tex]

Answer:

Half of the under 30's are from 5 to 18 seconds

Step-by-step explanation:

Each section of the box plot is 25%

Under 30's From 5 to 12 is 25% and from 12 to 18 is 25%

so from 5 to 18 is 50%

Answer:

A dilation factor by 1/2

Step-by-step explanation:

Find the distance of AB and BC which is 4 for each of them. A'B' and B'C' distance is 2. 4 * 1/2 = 2. Therefore the answer must be 1/2.

Answer:

120 pounds

Step-by-step explanation:

We can use systems of equations to solve this problem. Assuming j is Jim's weight and b is Bob's weight, the equations are:

j + b = 180

b - j = 1/2b

Let's get b - j = 1/2b into standard form (b, then j, then the equal sign, then the constant.)

[tex]b - j = \frac{b}{2}\\\frac{b}{2} - j = 0[/tex]

Now we can solve using the process of elimination.

[tex]b + j = 180\\\\\frac{b}{2} - j = 0\\\\b + \frac{b}{2} = 180\\\\b + b \cdot 2 = 180\cdot 2\\3b = 360\\b = 120[/tex]

Now we know how much Bob weighs, for fun, let's find Jim's weight by substituting into the equation.

[tex]120 + j = 180\\j = 180-120\\j = 60[/tex]

So Bob weighs 120 pounds and Jim weight 60 pounds.

Hope this helped!

Answer:

Bob weighs 120 pounds

Step-by-step explanation:

Our first equation will be J(Jim) + B(Bob) = 180 pounds. Our second equation will be 2J = B because it says " if you subtract Jim's weight from Bob's weight, you get half of Bob's weight." This is basically saying that Jim is half of Bob's weight. So that's why our second equation is 2J=B. In our first equation, J+b=180, if we substitute b for 2J, our second equation, then we get the equation 3J = 180. After dividing 3 from both sides, we get j=60. Since Bob weighs twice as much as Jim, his weight will be 120. Now if we want to double-check, we can substitute Jim and Bob's weight for all of the equations.  

1) 60 + 120 = 180                This equation is correct

2) 2(60) = 120                     This is correct because 2 times 60 equals to 120

3) 3(60) = 180                     This is correct because 60 times 3 equals to 180

Answer:

a. Rafael

b. Jordan

Step-by-step explanation:

Firstly, we should understand that a negative value of elevation indicates that the position is below sea level.

So the person at a higher elevation is the person above the sea level which is Rafael in the case.

Now to the second question, we want to know who is farther from the sea level.

The correct answer is Jordan.

Let’s see the sea level as an origin (0,0) on a cartesian plane and coordinate. We should understand that although sign maybe different, the numbers which are higher in magnitude in either direction shows the farthest from the origin.

So therefore, Jordan is deeper below the sea level than Rafael who is above the sea level.

Answer:

(-1, -3.5)

Step-by-step explanation:

Use the midpoint formula by finding the points of A and B.

A = (-5, -4)

B = (3, -3)

Add the x-values of both coordinates to get the following:

[tex]3_{1} + -5_{2} = -2\\-2/2 = -1[/tex]

Midpoint = (-1, y)

Now we find the y-value by doing the same as we did to the x-coordinates of A and B.

[tex]-3_{1} + -4_{2} = -7\\-7/2 = -3.5[/tex]

Midpoint = (-1, -3.5)

Answer:

4c - 14

Step-by-step explanation:

2/5 (10c -35)

Distribute

2/5 * 10c - 2/5 * 35

4c - 14

Answer:

See below.

Step-by-step explanation:

[tex]\frac{2}{5} (10c-35)\\\text{Distribute}\\=\frac{2}{5}(10c)+\frac{2}{5}(-35) \\=\frac{20}{5} c-\frac{70}{5}\\ =4c-14[/tex]

Answer:

The answer is A

Step-by-step explanation:

It has to exceed not be same or equal to