Please help asap!!! thank ya

Answer: The domain is all real numbers, and the range is all real numbers greater than or equal to –4.

Step-by-step explanation:

The domain is the set of inputs, and the range is the set of outputs.

Answer: Option A

Step-by-step explanation

The domain is the set of allowed x inputs of a function.

We can replace x with any number we want to get some output for y = f(x)

This tells us the domain is the set of all real numbers.

-----------

The range is the set of numbers y such that

In other words, we can have y = -4 or y > -4

This is because y = -4 is the lowest output possible, as indicated by the vertex point.

It takes 165 minutes per week if 10% increase in volume for an exercising client.

A client is exercising for 150 minutes per week. I.e., 30 minutes, 5 days per week.

So, 10% increase results,

30 minutes × 10% = 3

So, the increased minutes per day = 30 + 3 = 33 minutes/day.

After the 10% increase, the minutes per day = 33 minutes

Since 5 days a week, he does exercise, the total minutes per week

= 33 × 5 = 165 minutes.

So, a 10% increase in volume would result in 165 minutes total per week.

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Answer:5 million

Step-by-step explanation: Because 300 thousand is below 500 thousand so if its below 500 thousand it cant round up it rounds down.

Answer:

x=-4,   y=7

Step-by-step explanation:

-5x-10y=-50...(1)

Multiply both sides by -1:

5x+10y=50

5x=50-10y

x=(50-10y)/5

Substitute x=(50-10y)/5 into second given eqaution:

10(50-10y)/5+8y=16

Cancel out common factor 5:

2(50-10y)+8y=16

100-20y+8y=16

-12y=16-100

-12y=-84

y=84/12

y=7

Substitute y=7 into equation (1)

-5x-10(7)=-50

-5x-70=-50

-5x=-50+70

-5x=20

x=-20/5

x=-4

Answer:

6) Selling price =  ₹ 1608

   Labelled price =  ₹ 2010

7) Profit percentage = 10.5%

Step-by-step explanation:

Finding the selling price:

6) Cost Price =  ₹ 1200

          [tex]\sf Profit = 33\dfrac{1}{3} \% * Cost\ price\\\\[/tex]

                    [tex]\sf = \dfrac{102}{300}*1200\\\\ = 102 * 4\\\\[/tex]

                    =  ₹ 408

Selling price = Cost price + Profit

                     = 1200 + 408

                     =  ₹ 1608

      Let the labelled price = x

             Discount % = 20%

     (100-20)% of x  = 1200 + 408

            80%  of  x  = 1608

                           [tex]\sf x = 1608*\dfrac{100}{80}\\\\[/tex]

                           x = ₹ 2010

Answer: Selling price =  ₹ 1608

             Labelled price =  ₹ 2010

7) Let the Cost price =  ₹ X

Marked price = (100 + 30)% of  Cost price

                       [tex]\sf = \dfrac{130}{100}X\\\\ = 1.3 X[/tex]

Discount% = 15%

Selling price = (100 - 15)% of 1.3X

                     = 85% * 1.3X

                     = 0.85 * 1.3X

                     = 1.105X

[tex]\sf \boxed{\bf Profit \% =\dfrac{Selling \ price - Cost \ Price}{Cost \ price }*100}[/tex]

             [tex]\sf = \dfrac{1.105X - X}{X}*100\\\\ = \dfrac{0.105X}{X}*100\\\\ = 0.105*100\\\\ = 10.5 \%[/tex]

Answer:

Step-by-step explanation:

Let the # of liters in both containers = y when equality is reached.

Container 1: loses 6 liters / hour

Container 2: loses 3 liters / hour

Equation

35 - 6x = 29 - 3x

Solution

35 - 6x = 29 - 3x                          Subtract 29 from both sides

35 - 29 - 6x = 29 - 29 - 3x          Combine

6 - 6x = - 3x                                  Add 6x to both sides

6 - 6x + 6x = - 3x + 6x                 Combine

6 = 3x                                           Divide both sides by 3

6/3 = 3x/3

2 = x

After 2 hours they should have the same amount of water.

35 - 6(2) = 35 - 12 = 23

29 - 3*2 = 29 - 6 = 23

Answer

After 2 hours have passed, both containers should have 23 Liters each.

Answer:

Step-by-step explanation:

1 1/6 + (x/3 · 1/4) = 1 3/4

solve for x

1 1/6 + x/12 = 1 3/4

1 1/6 - 1 3/4 = -x/12

-7/12 = -x/12

-7 = -x

x = 7

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

check

1 1/6 + (7/12 * 1/4) = 1 3/4

1 1/6 + 7/48 = 1 3/4

1 15/16 = 1 3/4

1 3/4 = 1 3/4

the answer is good

The chance or chance that the lawn mower will hit a chunk of glass that is already cracked is calculated with the aid of dividing the variety of glasses that are cracked by way of the full quantity of glasses. on this item, the unknown may be calculated through . The solution is, therefore,  0.20.

Opportunity is a measure of the chance of an event to arise. Many occasions cannot be predicted with overall reality. We are able to are expecting only the danger of an event to arise i.e. how likely they're to manifest, using it.

The possibility is the branch of arithmetic regarding numerical descriptions of how in all likelihood an occasion is to arise, or how possibly it's miles that a proposition is actual. The possibility of an occasion various between 0 and 1, where, roughly talking, 0 indicates the impossibility of the event and 1 shows reality.

The probability of an event can be calculated by possibility components via surely dividing the favorable range of effects through the full range of possible outcomes.

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Answer:

Domain: All real numbers ; Range: y> -3

Step-by-step explanation:

From the information given, the rotated triangle is same as the original triangle. This is because, vertices of the rotation remain at the origin - (0,0).

Notice that the question states:  △A'B'C' is the image of △ABC. Given that the △ without primes is the original and the one with primes depict the rotated triangle,

under a rotation about the origin, (0,0) (0,0) (0, 0), indicating no movement,

△A'B'C' is in the same position with △ABC.

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Answer: D: 60 degrees

Step-by-step explanation:

khan

The limit of f(x) as it approaches -1 is given as 3/2

In mathematics and computation, the limit can be described to be the value that a sequence is going to approach in such a way that the input would approach or tend towards a given value

The unit is used to assign values to numbers at certain points where there are no defined values.

we have 3/x-1

We have to take the value of x here to be three as the equation tends to 1.

Then we apply it in the formula

3/3-1

= 3/2

Hence the limit of f(x) is given as 3/2

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Answer:

y = 0.5x

Step-by-step explanation:

y = rx

4.5/9 = 0.5

7/14 = 0.5

15/30 = 0.5

y = 0.5x

Answer:

68 increased by 43% is 97.24.

Step-by-step explanation:

Multiply 68 by 1.43.

68×1.43=97.24

The answer is 97.24.

Hope this helps!

Answer:

97.24 Absolute change, And the actual difference is 97.24 - 68 = 29.24.

Step-by-step explanation:

The total bill plus interest on the credit card is $3,250

What is credit card?

Credit card gives its holder the opportunity to make purchases on credit such that amount spent and the interest that accrues thereon would be paid by the credit card holder at a future time.

In this case, the function shows the relationship between the amount owed and the interest so as to give the outstanding balance.

f(p) = p(1.30)

p=amount owed=$2,500

f(p)=$2,500*(1.30)

f(p)=$3,250

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The error in the steps is that In step 1, she should have also distributed -3/8  over –16d, to get 3 + 6 d + 2 d = 24

Given the following equation as shown below

-3/8(-8-16d)+2d = 24

Step 1 Distribute -3/8 over the expression in parentheses

3 + 6d + 2d = 24

Simply the like terms

3 + 8d = 24

Subtract 3 from both sides of the equation.

8d = 24 - 3

8d = 21

d = 21/8

Hence the error in the steps is that In step 1, she should have also distributed -3/8  over –16d, to get 3 + 6 d + 2 d = 24

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The probability of first rolling a 1, then a 5, will be [tex]\frac{1}{36}[/tex].

To find the probability of getting a 1 the first time and a 5 the second time:

Probability of getting 1 in 1st time = [tex]\frac{1}{6}[/tex]

Probability of getting 5 in 2nd time = [tex]\frac{1}{6}[/tex]

The probability of first rolling a 1, then a 5, will be = [tex]\frac{1}{6}[/tex] × [tex]\frac{1}{6}[/tex]

[tex]= \frac{1}{36}[/tex]

Therefore, the probability of first rolling a 1, then a 5, will be [tex]\frac{1}{36}[/tex].

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Answer:

(-2, -0.5)

Step-by-step explanation:

1. add the x-coordinates and then either divide by 2 or multiply by 1/2

2. add the y-coordinates and then either divide by 2 or multiply by 1/2

(-7+3)/2 = -2

(-10+9)/2 = -0.5

Have a blessed day!

Answer:

100

Step-by-step explanation:

If the base is 20, then 2 of the sides must have a length of 20. This means that the TOTAL length of the remaining sides is 10. (20*2) + (10) = 50. If we divide that in half, we get 5. That is the side length of the remaining 2 sides. This means that 20 * 5 will give us the area (b*h).

Given,

base, b = 20mm &

perimeter, p = 50mm.

the area of the rectangle : (50 – 20 × 2) ÷ 2 = 5. 5 × 20 = 100 [tex]mm^{2}[/tex].

Perimeter and area are two important and basic mathematical subjects. They help quantify the physical space and also provide a more advanced foundation of mathematics in algebra, trigonometry, and calculus. Perimeter is a measure of the distance around a shape, and area indicates how much area the shape covers.

The perimeter of a 2D shape is the distance around the shape. You can imagine wrapping a string around a triangle. The length of this cord is around the triangle. Or, if you're traveling outside the park, take a route that goes around the edge of the park.

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[tex]\textbf{Heya !}[/tex]

the denominators are equal, so subtracting these two fractions is a piece of cake:-

[tex]\sf{\cfrac{21}{15}-\cfrac{9}{15}}[/tex]

[tex]\sf{\cfrac{21-9}{15}}[/tex]

[tex]\sf{\cfrac{12}{15}}[/tex]

`hope it's helpful to u ~

The maximum number of floors that this building can have is 6

The given parameters are:

Elevators = 4

Stops = 3

At least one elevator stops on 2 floors

The maximum number of floors is calculated as:

Maximum = Elevators * Stops/2

This gives

Maximum = 4 * 3/2

Evaluate

Maximum = 6

Hence, the maximum number of floors that this building can have is 6

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In the case above, the option that one need to include in your answer is to Find a common denominator.

When the numerator and denominator of a fraction are known to not have common factor other than 1, then a person can say that the fraction in its simple form or say its in its lowest term.

Since there is a common numerator and the common denominator will be between 10 and 20. Since 10 is less that than 20, the common denominator will be 20 as both can divide it.

Hence, In the case above, the option that one need to include in your answer is to Find a common denominator.

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In order to avoid double counting, statisticians just count the final goods and services.

According to the statement

we have to find the procedure which is used by statisticians to avoid the double counting.

final goods and services are the type of way which is used to avoid the double counting.

In other words, statisticians count only the final results rather than the efforts.

So, In order to avoid double counting, statisticians just count the final goods and services.

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Answer:-2.4+3.2t

Step-by-step explanation:

-3.6+1.2-1.9t+5.1t

= -2.4+3.2t

The function g(x) is a translation of 3 units to the right and a vertical dilation by scale factor k = 2 of f(x), the graphs of both functions can be seen in the image at the end.

We know that g(x) is a transformation of the parent function f(x) = √x, such that:

g(x) = 2*f(x - 3)

g(x) = 2*√(x - 3)

Then we can see that g(x) is a translation of 3 units to the right followed by a vertical dilation of scale factor 2 of the parent function f(x).

So to graph g(x) you first need to move the whole graph of f(x) 3 units to the right, and then apply a dilation vertically.

The graph of g(x) and f(x) can be seen in the image below:

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  [a] x = 175 - 7.5p

For a, we are isolating the x variable to one side of the equation.

        0.4x + 3p = 70

        0.4x = - 3p + 70

        x =  - 7.5p + 175

  [b] x = 115

For b, we are solving for x when p = 8.

        x =  - 7.5p + 175

        x =  - 7.5(8) + 175

        x = 115

Step-by-step explanation:

Has greater balance = Heba

Has more debt = Nour

If you see any number or amount without a negative sign (-) then that number or amount is positive e.g 1, 2,3,4,5,6,11,14,17,20,100,8, $3, $15, $23 and so on..

Using the number line:

Heba has the greater account balance

Nour has the most debt.

A number line shows where a number lies according to the order. Values greater than 0 and are on the right side are greater than values and vice versa.

Given their balances, $29.17 is greater than -$11.99. Therefore, Heba has the greater account balance using the number line.

Since - indicates debt, Nour has the most debt.

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If the sum of an integer and 7 more than the next consecutive integer is 66 then the integers are 29 and 30.

Given that the sum of an integer and 7 more than the next consecutive integer is 66.

Integer is a number that is written without a fraction component. It can be positive as well as negative.

let the first integer be x.

Consecutive integer will be x+1.

Sum of integer and 7 more than the next consecutive integer is 66.

Sum according to the given information=x+x+1+7

=2x+8

2x+8=66

2x=66-8

2x=58

x=58/2

x=29

Next integer=29+1-30.

Hence if the sum of an integer and 7 more than the next consecutive integer is 66 then the integers are 29 and 30.

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The possible length of the third hallway is between 30 yards and 150 yards.

The hallway forms a triangle .

Therefore,  using triangle inequality theorem, It states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Hence,

90 + 60 > x

Where

x is the third side

x + 60 > 90

x + 90 > 60

Therefore, the possible length of the third hallway is between 30 yards and 150 yards.

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Answer:

D: between 30 yards and 150 yards