A single piecewise-defined function f(x) has been
graphed for you on the display to the left.
At how many values c on the interval x€[−6, 4) is it
true that the limx→cf(x) = 1?

Answer:

p=12.3

Step-by-step explanation:

-1.5-9p= -6p+35.4

36.9=3p

p=12.3

Answer:

3x

Step-by-step explanation:

The number of hour (time) for which workout plan A would last is 0.75 hour. Also, the number of hour (time) for which workout plan B would last is 0.5 hour.

In order to solve this word problem, we would assign variables to the number of hours (time) each plan and then translate the word problem into algebraic equation as follows:

Translating the word problem into an algebraic equation, we have;

On Friday  ⇒     6x + 5y = 7    ....equation 1.

On Saturday  ⇒ 2x + 3y = 3     ....equation 2.

Next, we would solve the simultaneous equation by using elimination method:

3 × (2x + 3y = 3) = 6x + 9y = 9    ........equation 3.

Subtracting equation 1 from equation 3, we have:

6x + 9y = 9

6x + 5y = 7

4y = 2

y = 2/4

y = 1/2

y = 0.5 hour.

For the value of x, we have:

6x + 5y = 7

6x + 5(0.5) = 7

6x + 2.5 = 7

6x = 7 - 2.5

6x = 4.5

x = 4.5/6

x = 0.75 hour.

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Complete Question:

Charmaine the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Friday there were 6 clients who did Plan A and 5 clients who did Plan B. On Saturday there were 2 clients who did Plan A and 3 who did Plan B Charmaine trained her Friday clients for a total of 7 hours and her Saturday clients for a total of 3 hours. How long does each of the workout plans last?

If the remaining balance for 48 months with an APR of 4.5%. the monthly payment that Jenna pays is: $595.17.

Using this formula to determine the monthly payment

P = A ×r × ( 1 +r)^n  ÷( 1+ r)^n -1

Where:

P = Principal = ?

A = Amount = $29,000 × ( 1- .10) = 26,100

r = Interest rate = 4.5% / 12 = 0.00375

n = number of months = 48 months

Let plug in the formula

P = 26,100 × 0.00375 × ( 1+ 0.00375)^ 48 ÷ ( 1+ 0.00375)^ 48 -1

P = 26,100 × 0.00375 × ( 1.00375)^ 48 ÷ ( 1.00375)^ 48 -1

P = 26,100 × 0.00375 × 1.196814377  ÷  1.196814377 -1

P = 26,100 × 0.00375 × 1.196814377  ÷  0.196814377

P = $117.1382456  ÷  0.196814377

P = $595.17

Therefore $595.17 is the monthly payment.

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Answer:

p = 20

Step-by-step explanation:

7 + 3(p - 1) = 64 ( subtract 7 from both sides )

3(p - 1) = 57 ( divide both sides by 3 )

p - 1 = 19 ( add 1 to both sides )

p = 20

The cost of the fare based on the information is $16.32.

Amount for the fare = $12.75

Tip for the driver = 20% = 20% × $12.75 = $2.55

Tax rate = 8% = 8% × $12.75 = $1.02

Therefore the total amount will be:

= Cost of fare + Tip + Tax

= $12.75 + $2.55 + $1.02

= $16.32

The cost is $16.32. This illustrate the concept of addition.

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Answer:

(2,-3)

Step-by-step explanation:

[tex]\frac{\left(y+3\right)^2}{9}-\frac{\left(x-2\right)^2}{2}=1\\\frac{\left(y-k\right)^2}{a^2}-\frac{\left(x-h\right)^2}{b^2}=1\:\mathrm{\:is\:the\:standard\:equation\:for\:an\:up-down\:facing\:hyperbola}\\\frac{\left(y-\left(-3\right)\right)^2}{3^2}-\frac{\left(x-2\right)^2}{\left(\sqrt{2}\right)^2} =1\\(2,-3)[/tex]

Least number (sample size) of viewers that should be randomly selected to ensure that a 95% confidence interval for the true proportion of viewers will have a width of 0.06 or less is 225.

E = 0.06,

P = 0.30

c= 95%

& = 1 - 0. 95

To x/2 = 0-025

21096*/ 2 = 0-025

Margin of error

P ( 1 - P )

To ac / 2 ) 2 P ( 1 - P )

E= ( 1. 96* 0 . 30 x ( 1 - 0 - 30 )0-06

=224.09 ~ 225

round to next number

225

In order to guarantee that a 95% confidence interval for the true proportion of viewers would have a width of 0.06 or less, the minimum number of viewers (sample size) that should be chosen at random is 225.

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The most appropriate choice for surds will be given by-

[tex]-11\sqrt{3}[/tex] is the correct answer.

What are surds?

There are some natural numbers which are not perfect squares. Their square root are not natural numbers. Those numbers are called surds. The most important method for simplification of surds is prime factorization.

[tex]10\sqrt{3} - 4 \sqrt{48}-\sqrt{75}\\10\sqrt{3} - 4\sqrt{2\times2\times 2\times 2\times3}-\sqrt{3\times 5\times5}\\10\sqrt{3} - 4\times 2\times 2\sqrt{3} - 5\sqrt{3}\\10\sqrt{3} - 16\sqrt{3}-5\sqrt{3}\\-6\sqrt{3} - 5\sqrt{3}\\-11\sqrt{3}[/tex]

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Solution

The question would like us to evaluate the following expression

- We should deal with the modulus and bracket separately.

- After that, we can then perform the subtraction operation on the results of the modulus and bracket.

- This is done below:

Also,

Thus, combining both results, we have:

Final Answer

The answer is -6

Answer:

-6 hope it helps

thank you

Answer:

Step-by-step explanation:

the answer would be the second option

The sum of  -1 (3/4) and 2 (1/2) is the same as the difference between 2 (1/2) and 1 (3/4).

Firstly, we will convert the mixed fractions into improper fractions.

-1 and 3/4 = -7/4

2 and 1/2 = 5/2

Addition of -1 (3/4) and 2 (1/2) = -7/4 + 5/2 = -7/4 + 10/4 = 3/4

Difference between  2 and 1/2 and 1 and 3/4 = 5/2 - 7/4 = 10/4 - 7/4 = 3/4

As both the values equal to 3/4 , we can say that the addition of  -1  and 3/4 and 2 and 1/2 is the same as the difference between 2 and 1/2 and 1 and 3/4.

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Answer: [tex]f(1)=1, f(2)=0, f(3)=2[/tex]

Step-by-step explanation:

[tex]0 \leq 0 \leq 1 \implies f(1)=1^2 =1\\\\1 < 1 \leq 2 \implies f(2)=-2+2=0\\\\2 < 3 \leq 3 \implies f(3)=3^2 -3(3)+2=2[/tex]

3 × 90 thus equals 280 degrees.

The figure moves onto the following quadrant of the graph with each 90 degree rotation. In order to shift Figure I to the location of Figure J, you must move the three figure quadrants in a clockwise direction. 3 × 90 thus equals 280 degrees. Only one transformation is needed.

Which transformation corresponds to turning a figure 90 degrees counterclockwise?

The coordinate transformation (x, y) (y, x) is equivalent to a rotation of the origin 90 degrees counterclockwise. The coordinate transformation (x, y) (x, y) is comparable to a 180 degree counterclockwise rotation of the origin.

Our point A(x,y) becomes A' when a point is rotated 90 degrees counterclockwise about the origin (-y,x). To put it another way, flip x and y, making y negative.

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The equation models this scenario regarding the hiker is x - 450 = 2300.

Elevation is simply used to illustrate the height above the sea level.

In this case, the hiker descended 450 feet down to an elevation of 2300 feet.

The equation that can model the scenario will be x - 450 = 2300

where x = Initial elevation

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The True statements are: the graph is a straight line and the line does not pass through the origin. The y-intercept of the line is 2.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

The equation is given as y = -1/2 x + 2

Then Formula of the linear equation ( in slope-intercept form ):

y = m x + b

m = -1/2,  b = 2

0 = - 1/2 ( 0 )+ 2

0 ≠ 2 ( it does not pass through the origin )

- 2 ≠ 2

Therefore, the True statements are:

The graph is a straight line.

The line does not pass through the origin.

The y-intercept of the line is 2.

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The given pair of lines are parallel lines.

So, graph the lines on the given equation:

(Refer to the graph attached below)

We can easily look at the graph and tell that the given lines of the equations are parallel to each other.

Therefore, the given pair of lines are parallel lines.

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Which graph shows the circle whose equation is (x−1)2+(y+3)2=16?

circle formula:

[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

Given:

[tex](x-1)^{2} +(y+3)^{2} =4^{2}[/tex]

put into circle formal format:

[tex](x-h)^{2} +(y-k)^{2} =r^{2}\\(x-1)^{2} +(y-(-3))^{2} =4^{2}[/tex]

The center of the circle is at point (h,k)

[tex](x-1)^{2} +(y+3)^{2} =4^{2}[/tex]

center should be at:  (1,-3)

Answer:

lower row, left grid.

Answer:

Lower left, bottm, circle

Step-by-step explanation:

See attached graph

Answer: 65$

Step-by-step explanation:

1. 40% of 150 is 60 so 60$ off of 150 is 90

2. total amount off is 85$. 60 is the 40% off and additional 25 for the rebate

3. final price will be 65$. 90-25=65

The weight of the largest piece of pie is 250 gram.

Let the weights of others be illustrated as x.

Therefore, the weight of the largest weight is the addition of the others weight. This will be:

= x + x + x = 3x

Therefore, the weights will be:

3x + x + x + x = 500

6x = 500.

Divide

x = 500 / 6

x = 83.33.

The larger weight will be:

= 3x

= 3 × 83.33

= 250

The pie weights 250g.

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A triangle prima has six vertices. A triangular prism has five faces, three rectangular and two triangular, nine vertices, and six edges.

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Answer:

chad's other friend picked up 1 3/8 pounds of berries

Step-by-step explanation:

chad = 2 1/2 = 2 4/8

friend 1 = 1 3/8

2 4/8 + 1 3/8 = 3 7/8

5 1/4 = 5 2/8

5 2/8 - 3 7/8 = 1 3/8

The y-intercept of the line passes through (12,-4) and (-6,10) is 32/6

Let (x1, y1) = (12, -4)

and (x2, y2) = (-6, 10)

Using the formula of the two-point form of equation of line,

(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)

(y + 4)/(10 + 4) = (x - 12)/(-6 - 12)

(y + 4)/14 = (x - 12)/(-18)

-18y -72= 14x - 168

-18y = 14x - 168 + 72

-18y = 14x - 96

y = -(14/18)x + 96/18

y = -7/9 x + 32/6

Comparing with slope-intercept form of line y = mx + b

y-intercept(b) = 32/6

Therefore, the y-intercept of the line passes through (12,-4) and (-6,10) is 32/6

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In order to determine the value of the missing length b, use the Pithagorean theorem, given by:

h² = a² + b²

where:

h = 6.5 mm

a = 2.5 mm

solve the previous equation for b, as follow:

b = √(h² - a²)

b = √(6.5² - 2.5²)mm

b = √36 mm

b = 6 mm

Hence, the value of the missing length is 6 mm

The statement -9z divided by 2 = 13 is a closed statement

From the question, the statement of the expression is given as

-9z divided by 2 = 13

When the statement is rewritten as an expression, it becomes

-9z/2 = 13

In the above equation, we can see that we have a variable

The variable is represeneted by z

When a mathematical statement or an expression has a variable

Then such statement is an open statement

Hence, the given expression is open

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Answer: 18 combinations

Step-by-step explanation: you want to multiply the amount of ice cream flavors by the amount of children to be able to find the amount of possible combinations. so, 6 children x 3 flavors of ice cream = 18 different combinations. 6 x 3 = 18

Answer:

x=50

Step-by-step explanation:

5(2-x)-10=25-2(3x+40)

Distribute:

10-5x-10=25-6x-80

Combine like terms

-5x-10=-6x-55

Put x to one side

x-10=-55

Make x by itself

x=-55

Answer:  x=−55

Step-by-step explanation:

Solve the equation step-by-step:

5(2−x)−10=25−2(3x+40)

Simplify both sides:

5(2−x)−10=25−2(3x+40)

Distribute:

(5)(2)+(5)(−x)+−10=25+(−2)(3x)+(−2)(40)

10+−5x+−10=25+−6x+−80

Combine Like Terms:

(−5x)+(10+−10)=(−6x)+(25+−80)

−5x=−6x+−55

−5x=−6x−55

Add 6x to both sides.

−5x+6x=−6x−55+6x

x=−55

Answer:

I agree with your answer.

Step-by-step explanation:

The fraction of oranges eaten by the family is 3/5

Given,

Number of oranges in a bag = 8 oranges

Number of bags sold to a family = 10 bags

Number of members in the family = 6 members

Number oranges ate by each member of the family = 6 oranges

We have to find the fraction of the oranges eaten by the family members;

Here,

8 oranges in 1 bag and 10 bags sold.

So, total number of oranges sold = 8 x 10 = 80 oranges

Each member ate 6 oranges and there are 8 members.

So, total number of oranges eaten by them = 6 x 8 = 48 oranges

Now,

The fraction of oranges eaten by the family = 48/80 = 6/10 = 3/5

That is,

3/5th of oranges were eaten by the family.

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Answer: 160 mg

Step-by-step explanation:

10% of 200 is 20

therefore, every 6 hours, 20 milligrams of medicine filters into your blood.

there are 24 hours in a day, and 48 hours in 2 days.

6 * 4 = 24

20 * 4 = 80

you get 80 mg of medicine every day.

80 * 2 = 160

you get 160 mg of medicine in two days.