What is the range of the function represented by the graph?

Answer:

x = -2 or x = 1/3 thus: B & C

Step-by-step explanation:

Solve for x over the real numbers:

2 x^2 + 7 x - 2 = 2 x - x^2

Subtract 2 x - x^2 from both sides:

3 x^2 + 5 x - 2 = 0

The left hand side factors into a product with two terms:

(x + 2) (3 x - 1) = 0

Split into two equations:

x + 2 = 0 or 3 x - 1 = 0

Subtract 2 from both sides:

x = -2 or 3 x - 1 = 0

Add 1 to both sides:

x = -2 or 3 x = 1

Divide both sides by 3:

Answer: x = -2 or x = 1/3

Answer:

The probability that x is between 60 and 110.

P(60 < x<110) = 0.6436

Step-by-step explanation:

Step( i ) :-

Given data the random variable 'X' will have a distribution that is approximately normal with mean μ = 83 and standard deviation σ = 27.

Mean of the Population  'μ' = 83

Standard deviation of the Population 'σ' = 27.

Step(ii):-

Given X =60

[tex]Z_{1} = \frac{x-mean}{S.D} = \frac{60-83}{27} = -0.851[/tex]

Step(iii):-

Given X = 110

[tex]Z_{1} = \frac{x-mean}{S.D} = \frac{110-83}{27} = 1[/tex]

The Probability that between 60 and 110

P(60 < x<110) = P( -0.851 < z< 1)

                      =  P( Z≤1) - P(Z≤ -0.851)

                     = (0.5 + A(1)) - (0.5- A(-0.851))

                    = (0.5 +0.3413)- (0.5 - 0.3023) ( check normal table yellow mark)

                    = 0.8413 - 0.1977

P(60 < x<110) = 0.6436

Final answer:-

The probability that x is between 60 and 110.

P(60 < x<110) = 0.6436

Answer:

$2.948

Step-by-step explanation:

          :)

Here are a few 4/1 , 8/2 , 12/3

4, 8/2, 12/3 are equal to 4, when simplified, which means they are equivalent in nature.

A fraction is defined as numerical representation for part of a whole which represents a rational number.

If the denominator is 1, the numerator can be taken as 4, so the fraction would become [tex]\frac{4}{1}[/tex] = 4

If the denominator is 2, the numerator can be taken as 8, so the fraction would become [tex]\frac{8}{2}[/tex] = 4

If the denominator is 3, the numerator can be taken as 12, so the fraction would become [tex]\frac{12}{3}[/tex] = 4

Thus, 4, 8/2, 12/3 are equal to 4, when simplified, which means they are equivalent in nature.

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Answer:

6.14125(0.15) = 0.9211875 (below 1)

6.14125 - 0.92118 = 5.22007

Step-by-step explanation:

Given data

1. 10(.15)=1.5

2. 10-1.5=8.5

3. 8.5 (.15)=1.275

4. 8.5-1.275=7.225

continuation the sequence

5)    7.225 (0.15) = 1.08375

6)    7.225 -  1.08375 = 6.14125

7)   6.14125(0.15) = 0.9211875   (below -one)

8 ) 6.14125 - 0.9211875 = 5.2200625 (get number 5)

9)   5.2200625(0.15) = 0.783009

10) 5.2200625 - 0.783009 = 4.4370532

Answer:

Step-by-step explanation:

A sort of straightforward way to approach this is to define base and height variables for each of the figures: ba, ha, bb, hb, bc, hc, bd, hd. Then the statements can be used to make equations in these variables.

0. hc = bc . . . . figure C is a square

1. ba = bd

2. ba = bb -1

3. hc = ba

4. hb = ha = bb

5. hc·bc = 9

6. (1/2)ha·ba +(1/2)hb·bb +hc·bc+hd·bd = 38

__

Using equations 0 and 5, we find ...

  hc² = 9   ⇒   hc = 3

From equation 3, ...

  ba = 3

From equation 2, ...

  3 = bb -1   ⇒   bb = 4

From equation 1, ...

  bd = 3

From equation 4, ...

  ha = hb = 4

Filling in the values we know in equation 6, we get ...

  (1/2)(4)(3) +(1/2)(4)(4) +9 +hd(3) = 38

  23 +3hd = 38

  hd = 15/3 = 5

The dimensions are:

Answer:

23

Step-by-step explanation:

Multiplication is the process of multiplying. The amount of cereal that John will eat in 15 days is 50 ounces.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that John eats 20 ounces of cereal every 6 days. Therefore, the amount of cereal that John eats every 6 days is,

Amount of cereal in a day = 20 ounces / 6 days

                                           = (20/6) ounces in a day

Now, the amount of cereal that John will eat in 15 days is,

Amount of cereal in 15 days = 15 days × (20/6) ounces in a day

                                               = 50 ounces

Hence, the amount of cereal that John will eat in 15 days is 50 ounces.

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Answer:

165 in³

Step-by-step explanation:

Volume of a cone is:

V = ⅓Ah

where A is the area of the base and h is the height.

V = ⅓ (45 in²) (11 in)

V = 165 in³

Answer:  D. p(d) = 3(10000)p​

Step-by-step explanation:

The function is p(d) = 3(10000)p, where p is the bacteria population and the number of days, d. The correct answer would be option (D).

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

As per the given situation, we can write the function would be as:

⇒ p(d) = 3(10000)p

It states that the population of the bacteria, p, is equal to the starting population of 10,000 multiplied by 3 number of days, d. This function correctly represents the idea that the population triples each day.

Hence, the correct answer would be an option (D).

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Answer:

10 x 17.1 = 171

Step-by-step explanation:

10 x 17.1 = 17.1

Answer:

D is The correct  Answer

Step-by-step explanation:

Answer:

d I'm sorry if its incorrect

Answer: -$24

Step-by-step explanation:

Answer:

V = 46.67cm²

Step-by-step explanation:

[tex]V=\frac{lwh}{3}[/tex]          Use this equation to find the volume of the pyramid

[tex]V=\frac{35*4}{3}[/tex]         Multiply in the numerator

[tex]V=\frac{140}{3}[/tex]           Divide

V = 46.67cm²

If this answer is correct, please make me Brainliest!

Answer:

The perimeter of the triangle would be 21.2. The area would be 18 ft^2

Step-by-step explanation:

Hope this helps :)

Attached is the work I did to get the answers

Answer:

A

Step-by-step explanation:

A negative discriminant gives the information that it has two complex solutions. A positive discriminant has two real solutions, and a zero has one real solution.

Answer:

c, but its  imaginary, which is  

perfectly acceptable as solutions.

good luck and have a good day-

Area of the larger square: (4 cm) * (4 cm) = 16 cm^2

Area of the smaller square: (2 cm) * (2 cm) = 4 cm^2

Area of the shaded region = difference between the two areas above, or 12 cm^2

Answer:

Step-by-step explanation:

Adding any multiple of 2π radians to the angle will result in the same point. So, one set of coordinates of the same point can be ...

  (7, π/3 +2kπ) . . . . for any integer k

The value of the radius can be negated, and an odd multiple of π can be added to the angle to get the same point. Another set of coordinates of the same point can be ...

  (-7, 4π/3 +2kπ) . . . . for any integer k

Answer:

Total textbook cost of tuition fees per month will be $ 2,356 and 25 cents

Step-by-step explanation:

To solve the exercise, we will first define the total cost per quarter.

cost of 1 credit hour = $ 601

then we solve the following:

cost of 15 credit hours = $ 601 * 15 = $ 9015

textbooks = $ 410

then we solve the following:

total cost = 9015 + 410 = $ 9425

total cost for 3 quarters = 3 * $ 9425 = $ 28275 for 12 months

we calculate as follows

Total textbook cost of tuition fees per month will be

$ 28,275 / 12 = $ 2,356 and 25 cents

Answer:

Yes, he is correct

Step-by-step explanation:

d = sqrt[(6-2)² + (3-4)²]

d = sqrt[4² + (-1)²]

d = sqrt(16 + 1)

d = sqrt(17)

Answer:

A

Step-by-step explanation:

Yes he is correct.

he didn't substitute the values in the wrong places.

he did use the proper order of operations.

he didn't evaluate the powers incorrectly.

Therefore, A is correct.

Answer: 80/89

Step-by-step explanation:

Answer:

80/89

Step-by-step explanation:

delta math told me

Answer: x > 3

Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is -5x by subtracting 20 from both sides. That leaves you with -5x < -15.

To get x by itself, divide both sides by -5, but watch out.

If you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign.

So we have x > 3.

I have also graphed the inequality for you below.

Start with an open dot at 3. The reason for that is because x > 3 but x is not equal to 3 so we use an open dot.

Now, draw an arrow to the right to

represent all numbers greater than 3.

Let x represent the amount of money Gloria  earned mowing lawns.

We have been given that Gloria earned a total of $810 over the summer. She earned $162 babysitting and the rest  from mowing lawns.

The total amount earned by Gloria would be amount earned from baby sitting and lawn mowing that is [tex]x+162[/tex].

Now we will equate total earnings of Gloria by 810 as:

[tex]x+162=810[/tex]

[tex]x+162-162=810-162[/tex]

[tex]x=648[/tex]

Therefore, Gloria earned $648 from mowing lawns.

Answer:

Gloria earned $648 from mowing lawns

Step-by-step explanation:

Answer:21

Step-by-step explanation:

7 ➗ 1/3

when dividing fractions you have to change the divide sign to multiplication

and the denominator at the right hand side will become the numerator,the previous numerator at the right hand side will become denominator

7 x 3/1=21

Answer:

the circumference is 9.42 cm

Step-by-step explanation:

3.14 · (3 cm)

c = 9.42 cm

hope this helps :-)

Answer:

The absurdity of Harrison's exaggerated handicaps ridicules society's obsession with equality.Step-by-step explanation:

Answer:

Step-by-step explanation:

In the year 2081, the 211th, 212th, and 213th amendments to the Constitution dictate that all Americans are fully equal and not allowed to be smarter, better-looking, or more physically able than anyone else. The Handicapper General's agents enforce the equality laws, forcing citizens to wear "handicaps": masks for those who are too beautiful, loud radios that disrupt thoughts inside the ears of intelligent people, and heavy weights for the strong or athletic.

One April, 14-year-old Harrison Bergeron, an intelligent, athletic, and good-looking teenager, is taken away from his parents, George and Hazel Bergeron, by the government. They are barely aware of the tragedy, as Hazel has "average" intelligence (a euphemism for stupidity), and George has a handicap radio installed by the government to regulate his above-average intelligence.

Hazel and George watch ballet on television.They comment on the dancers, who are weighed down to counteract their gracefulness and masked to hide their attractiveness. George's thoughts are continually interrupted by the different noises emitted by his handicap radio, which piques Hazel's curiosity and imagination regarding handicaps. Noticing his exhaustion, Hazel urges George to lie down and rest his "handicap bag", 47 pounds (21 kg) of weights locked around George's neck. She suggests taking a few of the weights out of the bag, but George resists, aware of the illegality of such an action.

On television, a news reporter struggles to read the bulletin and hands it to the ballerina wearing the most grotesque mask and heaviest weights. She begins reading in her unacceptably natural, beautiful voice, then apologizes before switching to a more unpleasant voice. Harrison's escape from prison is announced, and a full-body photograph of Harrison is shown, indicating that he is seven feet (2.1 m) tall and burdened by three hundred pounds (140 kg) of handicaps.

George recognizes his son for a moment, before having the thought eliminated by his radio. Harrison himself then storms the television studio in an attempt to overthrow the government. He calls himself the Emperor and rips off all of his handicaps, along with the handicaps of a ballerina, whom he proclaims his "Empress". He orders the musicians to play, promising them nobility if they do their best. Unhappy with their initial attempt, Harrison takes control for a short while, and the music improves. After listening and being moved by the music, Harrison and his Empress dance while flying to the ceiling, then pause in mid-air to kiss.

Diana Moon Glampers, the Handicapper General, enters the studio and kills Harrison and the Empress with a ten-gauge double-barreled shotgun. She forces the musicians to put on their handicaps, and the television goes dark. George, unaware of the televised incident, returns from the kitchen and asks Hazel why she was crying, to which she replies that something sad happened on television that she cannot remember. He comforts her and they return to their average lives.

Answer:

X ≥ 3   (D)

Step-by-step explanation:

I got it right on Khan Academy :)

Answer:

it's B

Step-by-step explanation:

because I took the test