Is (0,0) a solution to this system? y ≥ x^2 - 4 y < 2x - 1

A. Yes. (0,0) satisfies both inequalities.

B. No. (0,0) satisfies y < 2x - 1 but does not satisfy y ≥ x^2 - 4.

C. No. (0,0) does not satisfy either inequality.

D. No. (0,0) satisfies y ≥ x^2 - 4 but does not satisfy y < 2x - 1.

Answer:

m

Step-by-step explanation:

The greatest common factor is the greatest number that will divide two values. We have two values 45m and 6m. Each has numbers which multiply together to give the number. We need to find the highest value or most in common they share. Each has the factors:

45m: 1, 5, 9, 45, m

6m: 1, 2, 3, 6, m

Both have 1 and m as factors. Our GCF is these two factors multiplied which is 1m=m.

The value in cents of n nickels: 5n

The value in cents of d dimes and p pennies: 10d + p

The value in cents of w dollars: 100w

The next whole number following a whole number w: w + 1

The value in cents of n nickels can be written as a numerical or variable expression as 5n, with n representing the number of nickels. This is because each nickel is worth 5 cents.

The quantity in cents of n nickels can be written as a numerical or variable expression. Because each nickel is worth 5 cents, you multiply the number of nickels, represented by n, by 5. This can be written as 5n. For example, if you have 4 nickels, you could calculate the total value in cents by multiplying 5 by 4, giving you 20 cents.

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Let the number of toys Teddy has on Monday = x

On Monday Harry has = 75% of x or 0.75x

As given, On Tuesday, after Harry acquired 32 more toys and Teddy acquired 15% more than he had on Monday, Harry had as many toys as Teddy did.

Toys Teddy has = [tex]x+\frac{15x}{100}[/tex]

=[tex]\frac{100x+15x}{100} =\frac{115x}{100}[/tex] = 1.15x   .... (i)

Toys Harry has = 0.75x+32   ...... (ii)

As both have equal toys now, so equation (i) equals equation (ii)

[tex]1.15x=0.75x+32[/tex]

[tex]1.15x-0.75x=32[/tex]

[tex]0.4x=32[/tex]

x=80

Hence, Teddy had 80 toys on Monday.

And Harry had 75% of 80 toys = 60 toys on Monday.

Answer:

2 feet per year

Step-by-step explanation:

First, we need to find the amount it grew:

13 - 3 = 10

So between 2005 and 2010 it grew 10 feet.

Now to find the yearly growth we need to divide the distance by time:

10 ÷ 5 = 2

So it grew 2 feet per year.

Answer:

B) 19/42

Step-by-step explanation:

To find the fraction halfway between 3/7 and 10/21 we first find the difference between the fractions, half it, and then add it back on to the smaller one.

Because 10/21 > 3/7 we subtract in that order

[tex]\frac{10}{21} - \frac{3}{7} = \frac{10}{21} - \frac{9}{21} = \frac{1}{21}[/tex]

Half of 1/21 is 1/42 and so the fraction halfway between 3/7 and 10/21 is

[tex]\frac{3}{7} + \frac{1}{42} = \frac{18}{42} + \frac{1}{42} = \frac{19}{42}[/tex]

Answer:

The answer would be 20.05 hours per day.

Answer: There are 20.05 kwh that Luke use per day during the month of April.

Step-by-step explanation:

Since we have given that

Amount of electric bill = $84.21

Charges of electric company = $ 0.14 per kWh

We need to find the number of kilowatt hours.

Number of days in the month of April = 30 days

According to question,

[tex]84.21=0.14\times 30\times x\\\\84.21=4.2\times x\\\\\dfrac{84.21}{4.2}=x\\\\x=20.05\ kwh[/tex]

Hence, there are 20.05 kwh that Luke use per day during the month of April.

Answer:

Three numbers are : 6 , 21 and 3

Step-by-step explanation:

Given,

Ratio of 3 numbers is 2:7:1 .

We can assume 3 numbers as : 2x ,7x and x respectively.

According to the problem :

2x + 7x + x = 30    {The sum of the 3 numbers is 30}

10x = 30

x = 3

Hence 3 numbers are,   x = 3

                                     2x = 2*3 = 6

                                     7x = 7*3 = 21

Therefore we get three numbers as : 6 , 21 and 3

Remember , you can check their ratios to cross check the correct answer.

Answer:

6, 21, and 3

Step-by-step explanation:

The probability that the red die shows a number larger than three or the green die shows a number less than three is 0.83 or 83%.

The question relates to the topic of probability in mathematics, which is the measure of the likelihood that an event will occur. In this case, we are looking at the probability of combined events with two standard six-sided dice, one red, and one green.

Firstly, the probability that the red die rolls a number larger than three is 3/6 or 0.5 since, out of 6 possible outcomes (1, 2, 3, 4, 5, 6), 3 (4, 5, 6) are favorable outcomes.

Secondly, the probability that the green die shows a number less than 3 is also 2/6 or approximately 0.33, as there are two favorable outcomes (1 and 2).

To find the probability of the red die showing a number larger than three OR the green die showing a number less than three, we add the two individual probabilities because these are independent events. Hence Probability = 0.5+0.33 = 0.83 or 83%

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The probability of the red die showing a number larger than three or the green die showing a number less than three is 1/9.

To calculate the probability of the red die showing a number larger than three or the green die showing a number less than three, we need to determine the number of favorable outcomes and the total number of possible outcomes.

The favorable outcomes are when the red die shows a number larger than three (i.e., 4, 5, or 6) or when the green die shows a number less than three (i.e., 1 or 2).

Since each die has 6 sides, the total number of possible outcomes for each die is 6. Therefore, the total number of possible outcomes for both dice is 6 * 6 = 36.

The number of favorable outcomes is 3 (for the red die) + 2 (for the green die) - 1 (for the outcome where both dice show a number larger than three and a number less than three) = 4.

Therefore, the probability is 4/36 = 1/9.

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Answer:

C. $327.93

Step-by-step explanation:

The formula for interest compounded quarterly is

A = P(1 + r/n)nt   where P is the principal

                                r is the rate

                                t is the time in years  

                                n is the compoundings per year

 p =230  r= .12  t= 3  n =4  since it is quarterly

Substituting these in

A = 230 (1+ .12/4)^(3*4)

   = 230(1.03)^12

    =327.93

Answer:

The answer is C. $327.93

Hope this helps and have a Merry Christmas.  

P.S. Could you make me brainlest?  It would help SO much.  Thanks!

Answer:

27 children.

Step-by-step explanation:

For every 9 children there are 4 adults .

x + y = 39  where x = number of children and y = number of adults.

and x/y = 9/4

so  4x = 9y

then x =  9y/4 , so substituting for x in the first equation:-

y + 9y/4 = 39        Multiplying through by 4:-

4y + 9y =  156

y = 156/13 = 12  so there are 12 adults

and 39 - 12 = 27 children

The problem is solved by using the ratio of children to adults and setting up a proportion. After cross-multiplying and solving the equation, it is determined that there are 27 children at the movie.

This is a problem of ratio and proportion. In this case, the ratio of children to adults at the movie is 9 to 4. This means that for every 13 people at the movie (9 children plus 4 adults), 9 are children. We can set up a proportion to determine how many out of the total 39 people at the movie are children.

The proportion is:
9 children / 13 total people = x children / 39 total people

We can solve this problem by cross multiplying: 9 * 39 = 13 * x, which gives us: 351 = 13x. Dividing both sides of the equation by 13, we get: x = 27.

Therefore, 27 children are at the movie.

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Answer:

30

Step-by-step explanation:

When l = 10, and w = 5

Plug in 5 for "w" and 10 for "l" inside the equation.

p = 2(10) + 2(5)

Solve for the variable "p". Simplify the equation. Remember to follow PEMDAS. First, solve the multiplication

p = 20 + 10

Next, add.

p = 30

30 is your answer for p in this problem

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the TV screen would have an area of 122.88 inches

to find this all you would have to do is multiply the 38.4 by 3.2

Answer:

The size of the tv is 122.88", or 122.88 in²

Step-by-step explanation:

a = w * h

w = 38.4

h = 3.2

a = (38.4) * (3.2)

a = 122.88

Answer:

Positive association and nonlinear

Step-by-step explanation:

Answer:

Positive association & Linear Association  

Step-by-step explanation:

Positive charts go up from left to right (which this plot does)

Liner plots are any plots that can form a straight line (which this one does)

Answer:

He could use 104 pages in the photo books .

Step-by-step explanation:

Given :

A photographer has 591 photos of animals and 234 photos of plants.

Each page of the photo books holds 8 photos.

To Find : Fewest number of pages he could use in the photo books.

Solution :

A photographer has 591 photos of animals and 234 photos of plants.

Thus total no. of photos he have = 591+234 = 825 photos

Since he wants to put all the photos into photo book  

No. of pages required for 8 photos = 1

No. of pages required for 1 photo = 1/8

No. of pages required for 825 photos:

= [tex]\frac{1}{8} *825[/tex]  

⇒103.125 pages ≈ 104 pages

Hence he could use 104 pages in the photo books .

Answer: 10/9

Step-by-step explanation:

On the width:

6 yards = 18 feet

24 inches = another 2 feet

Total width = 20 feet

On the length:

6 yards = 18 feet

Ratio of width to length = (20 feet) / (18 feet) = 10/9

The actual width of the garden is 72 inches, which is equivalent to 2 yards

To determine the actual width of the flower garden, we need to use the given scale of 1:12. This means that 1 inch on the plan represents 12 inches in reality. Given that the flower garden is 6 inches wide on the plan, we set up a proportion to find the actual width.

The proportion is:

1 inch on plan : 12 inches in reality = 6 inches on plan : x inches in reality

So we calculate:
(1 inch / 12 inches) = (6 inches / x inches)

Now we solve for x:
1/12 = 6/x
x = 6 * 12
x = 72 inches

Therefore, the actual width of the garden is 72 inches, which can be converted into yards by knowing that 1 yard equals 36 inches. Thus, 72 inches is equivalent to 2 yards (since 72 / 36 = 2).

Answer:

B and E

Step-by-step explanation:

The rules of indicies states:

[tex]x^{a}[/tex] ÷[tex]x^{b}[/tex] = [tex]x^{a-b}[/tex]

So [tex]3^{-8}[/tex] ÷  [tex]3^{-4}[/tex] =  [tex]3^{-8 - - 4}[/tex] =  [tex]3^{-4}[/tex]

So that means B is one of the correct answers.

To find the other correct value, you can divide the two fractions as stated in the question:

[tex]3^{-8}[/tex] by [tex]3^{-4}[/tex] = [tex]\frac{1}{81}[/tex]

81 is equivalent to 3⁴

So that means E is also correct.

[tex]\text{Use}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\a^{-n}=\dfrac{1}{a^n}\\-----------------------\\\\\dfrac{3^{-8}}{3^{-4}}=3^{-8-(-4)}=3^{-8+4}=\underbrace{\boxed{3^{-4}}}_{\boxed{B.}}=\underbrace{\boxed{\dfrac{1}{3^4}}}_{\boxed{E.}}\\\\Answer:\ \boxed{B.\ and\ E.}[/tex]

Answer:

The equation of the line is y = 6x - 2 .

Step-by-step explanation:

Formula for the equation of line is.

[tex](y - y_{1}) = m (x - x_{1})[/tex]

Where m is the slope.

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

As given

If (-6,-38) and (5,28) are two anchor points on the trend line.

Than

[tex]m = \frac{28 - (-38)}{5 - (-6)}[/tex]

[tex]m = \frac{28 + 38}{5 + 6}[/tex]

[tex]m = \frac{66}{11}[/tex]

m = 6

Put the value in the equation of a line.

[tex](y - (-38)) = 6 (x - (-6))[/tex]

[tex](y + 38) = 6 (x + 6)[/tex]

[tex](y + 38) = 6x + 6\times 6[/tex]

[tex](y + 38) = 6x + 36[/tex]

y = 6x +36 - 38

y = 6x - 2

Therefore the equation of the line is y = 6x - 2 .

I used Google and got 90%...if you simplify it you will get 9/10 which is a 90%

If 18 out of 20 is given. Then the percentage will be 90%.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

The given number statement is 18 out of 20.

Then the percentage will be

P = 18/20 x 100

P = 90%

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the correct answer to this question would be: y=8

−(−y+18)+11  =1

y−18+11        =1

y−7              =1

y                  =8

Answer:

60 degrees.

Step-by-step explanation:

The total measure of the exterior angles of all polygons is 360 degrees,

A regular hexagon has 6 equal exterior angles so the measure of each angle is 360 / 6 = 60 degrees.

Answer:

Measure of each exterior angle for regular hexagon = 60°

Step-by-step explanation:

We have sum of interior angles of a polygon with n sides = (n-2) x 180

Sum of exterior angles =  n x 180 - (n-2) x 180 = 2 x 180 = 360 degree.

So whatever be the number of sides the sum of exterior angles of a polygon is 360°.

Here we are asked to find the measure of each exterior angle for regular hexagon.

We know sum of exterior angles = 360°

Number of exterior angles = 6

Measure of each exterior angle for regular hexagon = 360/6 = 60°

Measure of each exterior angle for regular hexagon = 60°

Answer:

4.8

Step-by-step explanation:

b to c is 3.6

b to d is 8.4

if c is in the middle , you would subtract 8.4 and 3.6

Answer:

n-20

--------

3a

Step-by-step explanation:

(3ax - n)/5 = -4

The first step is to multiply each side by 5 to get rid of the fraction

(3ax - n)/5  * 5= -4* 5

3ax - n = -20

Then we need to add n to each side.

3ax -n+n = -20+n

3ax = n-20

Divide each side by 3a to isolate x

3ax/3a = (n-20)/3a

x = (n-20)/(3a)

Answer: Salesperson A made $7,428.30 in commission which is $569.10 more than Salesperson A.

Step-by-step explanation:

A: $67,530 * 0.11  = $7,428.30

B: $85,740 * 0.08 = $6,859.20

                                   $ 569.10

Answer: 53

52.85 is closer to 53, than it is to 52

The digit after the ones digit is 8, which is 5 or larger, so that tells us to round up from 52 to 53. We drop everything after the ones digit.

Answer:

Andre states that the applied interest is simple interest, this statement is true.

Step-by-step explanation:

From the given table it is noticed that the value of y increased by 17.50 as the value of x increased by 1.

The rate of change is calculated as

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

For first two years the rate of change is

[tex]m=\frac{535.00-517.50}{2-1}=17.50[/tex]

The rate of change for next two years is

[tex]m=\frac{552.50-535.00}{2-1}=17.50[/tex]

Similarly, the rate of change for all years in 17.50.

Since the rate of change is same for all years, therefore the future value is increased by a constant rate, therefore the applied interest is simple interest.

So, the statement "the applied interest is simple interest" is true.

Step-by-step explanation: (Apex) just did the quiz 9/26/19

A parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

The rectangle is a quadrilateral that has four sides and the opposites are always parallel.

The statement "Some rectangles are not parallelograms" is false.

Option B is the correct answer.

A parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

Some rectangles are not parallelograms.

The rectangle is a quadrilateral that has four sides and the opposites are always parallel.

So,

All rectangles are parallelograms.

Thus,

The rectangle is a quadrilateral that has four sides and the opposites are always parallel.

The statement "Some rectangles are not parallelograms" is false.

Option B is the correct answer.

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Answer:

-79/20 < x< -17/20

Step-by-step explanation:

-4| 5x+12| -13> -44

The first step is to add 13 to each side

-4| 5x+12| -13+13> -44+13

-4| 5x+12| > -31

Divide each side by -4.  Remember when dividing by a negative to flip the inequality

-4/-4| 5x+12| < -31/-4

| 5x+12| < 31/4

Now we will have 2 equations, one positive and one negative.  Remember to flip the inequality for the negative

5x+12 < 31/4   and 5x+12 >-31/4

Subtract 12 from each side

5x+12-12 < 31/4-12   and 5x+12-12 >-31/4-12

5x < 31/4-12   and 5x >-31/4-12

Get a common denominator of 4

5x < 31/4-48/4   and 5x >-31/4-48/4

5x < -17/4       and   5x > -79/4

Divide each side by 5

x < -17/20    and x >-79/20

-79/20 < x< -17/20