Find the domain and range of the given graph?
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Answer:

x²+2x+7-21=0

x²+2x-14. =0

x²+2x. =14

x²+2x+1. =14+1

(X+1)². =15

X+1. =+/-√15

X=-1+/-√15

X=-1+3.872983346207

=2.872983346207(greatest solution) round it as possible

X=-1-3.872983346207

=-4.872983346207

Answer:

Lightning and Eagles

Step-by-step explanation:

14:7 can be rewritten as 2:1 (Factor out 7)

12:6 can be rewitten as 2:1 (Factor out 6)

Both are 2:1

-- Gage Millar, Algebra 2 Tutor

Answer:

D.

Step-by-step explanation:

when you simplify 14:7 you get 2:1 and if you do the same to eagles(12:6) you will get the Same answer( 2:1 )as lightning

Answer:

$50

Step-by-step explanation:

Here's a good formula I use for finding percentages.

4.50÷9x100=50

I had a calculator confirm this. The answer is $50.

And also, thanks so much for 50 points, that's really generous.

Answer:

see below

Step-by-step explanation:  5 23 15 03

f(x) = g(x) + 4    find g(x) for f(x) = 3x + 2

sub f(x) = 3x + 2  into f(x) = g(x) +4

3x + 2 = g(x) + 4

3x + 2 - 4 = g(x) + 4 - 4

3x  - 2  = g(x)

9514 1404 393

Answer:

  g(x) = 3x -2

Step-by-step explanation:

Solve the given equation for g(x):

  f(x) = g(x) +4

  f(x) -4 = g(x) . . . . . subtract 4

  (3x +2) -4 = g(x) . . . . . use the definition for f(x)

  g(x) = 3x -2 . . . . . . . . . . . . . simplify

Answer:

15i

Step-by-step explanation:

negative * a negative is a positive

-5i * -3i = 15i

Answer:

15i

Step-by-step explanation:

answer 40qfijjjjjmwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwStep-by-step explanation:

Answer:

Step-by-step explanation:

A bag contains 8 red marbles, 3 blue marbles and 7 green marbles.

Total = 18 marbles.

Probability of drawing three red marbles = probability of drawing one red without replacement + probab of drawing another without reeplacement + probab of drawing a third without replacement.

Probability of drawing three red marbles = 8/18 + 7/17 + 6/16 = 0.4444 + 0.4118 + 0.3750 = 1.2312.

Answer:

8 fruit total

1) orange probability: 4/8 = 1/2

pear probability after one fruit is taken out: 1/7

probability of getting one then the other without replacement: 1/2 x 1/7 = 1/14

2) orange: 1/2

apple: 3/7

pear: 1/6

probability of getting them in order without replacement: 1/2 x 3/7 x 1/6 = 1/28

3) apple: 3/8

orange: 4/7

apple: 2/6 = 1/3

probability of getting them in order without replacement: 3/8 x 4/7 x 1/3 = 1/14

Answer:2/6 or 33% chance of getting an apple, 3/24 or 13% of getting a pear and 13/24 or 54% chance of getting an orange hope that helps.

Step-by-step explanation:

Answer:

11 patients were satisfied with neither and 23 patients were satisfied with only the medical treat

Step-by-step explanation:

trust me i'm Asian

Answer:

Each friend only got 1/14 of the pizza.

Step-by-step explanation:

Each friend gets one slice of pizza, and there are 7, so you'd think just do 1/7 and that is the answer. However, it is talking about after the party where only have of the pizza is left. So you have to do 1/7*1/2 which equals 1/14.

Answer:

sorry I can't help you I can't see all the eqaution

Step-by-step explanation:

Answer:

After 18 years, Zach's account balance will be $ 6,614.66.

Step-by-step explanation:

Given that Zach's parents put $ 1,500 in her bank account for college tuition at an interest rate of 8.25% compounded weekly, to determine what will be the balance after 18 years the following calculation must be performed:

1,500 x (1 + 0.0825 / 52) ^ 18x52 = X

1,500 x 1.00158653 ^ 936 = X

6,614.66 = X

Therefore, after 18 years, Zach's account balance will be $ 6,614.66.

this is ez

2 thousands = 72.000

6 hundreds = 1.549.606

4 millions = 4.630.114

9 ten thousands = 298.278

1 hundred thousand = 177.009

Answer: See explanation

Step-by-step explanation:

Let the number of hours used for softball practice be x.

Since soccer practice is 1.5 more hours more than 3 times as long as the softball practice. This will be:

= (3 × x) + 1.5 = 3x + 1.5

Therefore, we add both and equate to 15.

x + 3x + 1.5 = 15

4x + 1.5 = 15

4x = 15 - 1.5

4x = 13.5

x = 13.5/4

x = 3.375

Softball is practiced for 3.375 hours

Answer:

75 yards

Step-by-step explanation:

375/5=75

Range: 19

Interquartile range: 6.5

Variance: 44.86

Standard deviation: 6.70

Given set:

27, 25, 20, 15, 30, 34, 28, 25.

(i) Range is the difference between the largest value and smallest value in a given data.

In the data above, the;

largest value = 34

smallest value = 15

Range = largest - smallest

Range = 34 - 15

Range = 19

(ii) Interquartile range is the difference between the median (Q₁) of the lower half of the given data, and the median (Q₃) of the upper half of the given data. i.e Q₃ - Q₁.

This should be done after ordering the given data in ascending order.

Ordering the above data gives:

15, 20, 25, 25, 27, 28, 30, 34

In the data above;

lower half = 15, 20, 25, 25

upper half = 27, 28, 30, 34

Find median (Q₁)  of the lower half

Since there are even number of data, the median is the average of two middle numbers (20 and 25) i.e.

Q₁ = [tex]\frac{20+25}{2}[/tex] = [tex]\frac{45}{2}[/tex] = 22.5

Find median (Q₃)  of the upper half

Since there are even number of data, the median is the average of two middle numbers (28 and 30) i.e.

Q₃ = [tex]\frac{28+30}{2}[/tex] = [tex]\frac{58}{2}[/tex] = 29

Interquartile range = Q₃ - Q₁

Interquartile range = 29 - 22.5

Interquartile range = 6.5

(iii) Variance is the measure of variability of a given set of data. It is calculated by following these steps:

=> First find the mean of the data by summing the numbers and dividing by the number of numbers. i.e

mean(x) = [15 + 20 + 25 + 25 + 27 + 28 + 30 + 34] / 8

mean(x) = [204] / 8

mean(x) = 25.5

=> Next, get the mean deviation by subtracting the mean from each individual value in the given set of data. i.e

15 - 22.5 = -7.5

20 - 22.5 = -2.5

25 - 22.5 = 2.5

25 - 22.5 = 2.5

27 - 22.5 = 4.5

28 - 22.5 = 5.5

30 - 22.5 = 7.5

34 - 22.5 = 11.5

=> Next, find the square of each of the results obtained above. i.e

(-7.5)² = 56.25

(-2.5)² = 6.25

(2.5)² = 6.25

(2.5)² = 6.25

(4.5)² = 20.25

(5.5)² = 30.25

(7.5)² = 56.25

(11.5)² = 132.25

=> Next, add all the results above together as follows;

56.25 + 6.25 + 6.25 + 6.25 + 20.25 + 30.25 + 56.25 + 132.25 = 314

=> Now, obtain the variance by dividing the result above one less than the number of numbers.

The number of numbers is 8. One less than this gives 7.

Therefore,

Variance = 314 / 7

Variance = 44.86

(iv) Standard deviation is the measure of how the numbers in the given data are spread out. It is calculated as the square root of variance.

Therefore,

Standard deviation = √variance.

Variance has been calculated above.

Standard deviation = √44.86

Standard deviation = 6.70

Answer:

The answer is 9/7 because you know 1 is 7/7, so it's like 7/7 and 2/7. This means it is 7/7 plus 2/7, which makes it 9/7. So the answer is 9/7 hope it helped!

Step-by-step explanation:

9514 1404 393

Answer:

  6 minutes

Step-by-step explanation:

The rates add when expressed in terms of jobs per minute.

  1/10 + 1/15 = 3/30 + 2/30 = 5/30 = 1/6

The two together can complete 1/6 jobs per minute, so it will take them 6 minutes to complete 1 job.

Answer:

B. Lines of symmetry: 1

Step-by-step explanation:

I calculated it logically

Answer:

b on edge

Step-by-step explanation:

Answer:

4.50

Step-by-step explanation:

water + pretzels =total

5(1.50)+    5x      =30

7.50+5x=30

5x=22.50

x=4.50

Answer:

y - 4 = (4/3)(x - 1)

Step-by-step explanation:

point slope form is

y - y1 = m(x - x1)

m is the slope

(x1, y1) is a point on the line

----------------------------

for m = 4/3 and (x1, y1)  = (1, 4)

y - 4 = (4/3)(x - 1)

Answer:

0.364 is the answer

Answer:

398.4

Step-by-step explanation:

i don't know how to explain i asked gogle

Answer:

15

Step-by-step explanation:

[tex]\frac{120}{800}[/tex] = [tex]\frac{x}{100}[/tex]

Cross multiply 120*100 = 800x

12000= 800x

15 = x

Answer:

D)15m³

Step-by-step explanation:

the given ratio tells us that the Volume of figure-B is three times as much as the Volume of figure-A

so we acquire:

[tex] \displaystyle A _{ \text{figure - B}} = A _{ \text{figure - A}} \times 3[/tex]

substitute the given volume of the figure-A:

[tex] \displaystyle A _{ \text{figure - B}} =5 {m}^{3} \times 3[/tex]

simplify multiplication:

[tex] \displaystyle A _{ \text{figure - B}} =15 {m}^{3} [/tex]

hence, our answer is D)

Answer:

<COB = 50°

Step-by-step explanation:

We can say that m<AOC + m<COD + m<DOB = 180° because the three mentioned angles form a straight line. We can substitute to get:

3x + 94 + x + 18 + 2x - 4 = 180

Then, we can combine like terms:

6x + 108 = 180

6x = 72

x = 12

We can see that m<COB is the sum of m<COD and m<DOB. We can wrote an equation to model the situation:

m<COB = m<COD + m<DOB

m<COB = x + 18 + 2x - 4

m<COB = 3x + 14

We have the value of x, so we can substitute that in:

<COB = 3(12) + 14

<COB = 36 + 14

<COB = 50°

Answer:

Audrey is 5 years and 9 months old

Step-by-step explanation:

51 divided by 4 = 12.75

12.75 - 7 = 5.75

75% of 12 is 9

Audrey is 5 years and 9 months old