graph g(x) = 5|x-6| + 2

[tex]8x^{2}+4x\\\\=8\left(x^{2}+\frac{1}{2}x \right)\\\\=8\left(x+\frac{1}{4} \right)^{2}-8\left(\frac{1}{16} \right)\\\\\boxed{f(x)=8\left(x+\frac{1}{4} \right)^{2}-\frac{1}{2}}[/tex]

The total cost of putting the posters on the wall is $25.

If the first poster on each end will be exactly even with the start of the wall, it means that after the two posters have been placed on either side of the wall, the total space left would be 10 feet (24 -  3 - 3 - 4 - 4).

After the first poster has been placed on both ends of the wall, a second poster would be placed on either ends of the wall. Total space now left is 4 feet (10 - 3 - 3). So there can only be four posters on the wall.

Total cost of 4 posters = 4 x $6.25 = $25

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Answer:

0.5, 5.5

Step-by-step explanation:

ive done this worksheet before

Answer: Choice C

(0.5, 5.5)

===========================================================

Explanation:

Draw out a number line with -2 and 3 on it. These are the x coordinates of the given points. Add up these values and divide by 2 to get the midpoint on the number line.

(A+B)/2 = (-2+3)/2 = 1/2 = 0.5

The value 0.5 is the midpoint of -2 and 3. This midpoint is equally spaced from both endpoints.

Therefore, the x coordinate of the midpoint is 0.5

Repeat this idea for the y coordinates

Add: 4 + 7 = 11

Divide the result in half:  11/2 = 5.5

The y coordinate of the midpoint is 5.5

The overall midpoint itself is located at (x,y) = (0.5, 5.5)

This is why choice C is the final answer.

Visual confirmation is shown below. GeoGebra has a nice handy feature to find the midpoint very quickly with just a few clicks.

Answer:

1

Step-by-step explanation:

The differences in the values on each spot on the line is 2, because -5 is in between -7 and -3. Going to the right means that the values are increasing. We go from -7, to -5, to -3, to -1, and finally, to 1.

Brainliest, please :)

Answer:

The second choice.

Step-by-step explanation:

A rational number means that you are able to write the number as a fraction with integers in the numerator and the denominator.  An integers are the whole numbers and their opposites ...-3,-2,-1,0,1,2,3...

The square root of 4 is 2.  2 can be written 2/1 (an integer over and integer)

-square root of 2 cannot be written as an integer over an integer.  When this number is written as a decimal number it never repeats and it never terminates so it cannot be written as an integer over and integer.

-2/3 is written in the form of an integer over and integer.

1 can be written 1/1

9/8 is written as an integer over an integer.

The square root of  9/4 would be 3/2. (3/2)(3/2) = 9/4.

2.4 repeating can be written as an integer over an integer.  Any decimal that repeats or terminates can be written as an integer over and integer.  It actual happens to be 22/9.

The square root of 10 written as a decimal does not repeat or terminate so it is not rational.  Only perfect squares are rational.

Answer:

15 routes

Step-by-step explanation:

3 x 5 = 15 routes

Answer:

[tex]x=\frac{18000}{7}=2571\frac{3}{7}[/tex]

Step-by-step explanation:

Let the total amount be x

Then Ali got 1/8x With 7/8x left

Juma got 7/40x with 7/10x left

Musa, Khalid and Mustafa got 7/30x each

since [tex]\frac{7}{30}x=600[/tex]

7x=18000

[tex]x=\frac{18000}{7}=2571\frac{3}{7}[/tex]

Answer:

Not a function.

Step-by-step explanation:

The vertical line touches the graph at more than one point at once.

Answer:

  B. use multipliers -3 and 2

Step-by-step explanation:

If you're solving the system by "addition," multiplying the equations by the chosen numbers needs to result in opposite coefficients for one of the variables.

A. The system becomes ...

No variable has opposite coefficients.

__

B. The system becomes ...

The y-variable has opposite coefficients. This is a good choice.

__

C. The system becomes ...

No variable has opposite coefficients.

__

D. The system becomes ...

No variable has opposite coefficients.

__

Additional comment

The simplest "no brainer" solution is to use the coefficients of one of the variables, negating one of them. Multiply each equation by the opposite equation's coefficient. Here, the y-coefficients are -2 and -3, and the multipliers of answer choice B are -3 and 2, consistent with this advice. (The sign of 2 was changed.)

Answer:

B.

Step-by-step explanation:

Multiply the top equation by -3 and the bottom equation by 2

-12x+6y=-21
  6x-6y= 30
 -6x     = 9         Variable "y" is removed

Hope this helps

Using proportions, it is found that it would take 6.4 days for 8 men to dig a trench of 360 meters long working at the same rate.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the rule of three is given as follows:

8 days - 15 men - 240 meters

x days - 18 men - 360 meters

The number of men is inverse proportional to the number of days, hence we divide 18 by 15 instead of 15 by 18, then:

[tex]\frac{8}{x} = \frac{18}{15} \times \frac{24}{36}[/tex]

[tex]\frac{8}{x} = \frac{6}{5} \times \frac{4}{6}[/tex]

[tex]\frac{8}{x} = \frac{5}{4}[/tex]

Applying cross multiplication:

5x = 32.

x = 32/5

x = 6.4 days.

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Answer:

247m³

Step-by-step explanation:

volume of cylinder = πr²*h

volume of cylinder = 19m²*13m

volume of cylinder = 247m³

247  cubic meters is the volume of the cylinder.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

The area of the circular face of the cylinder is given by:

A = πr²

where r is the radius of the circular face. Since the area of the circular face is given as 19 m², we can solve for the radius as follows:

19 = πr²

r² = 19/π

The volume of the cylinder is given by:

V = Ah

where h is the height of the cylinder. Since the height is given as 13 m and we have just found the radius to be approximately 2.197 m, we can calculate the volume as follows:

V = πr²h

=19*13

≈ 247 m³

Therefore, the volume of the cylinder is approximately 247  cubic meters.

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The area of the figure is 11. 27 cm²

The figure given is a parallelogram

Note that the formula for area of a parallelogram is given as;

Area = base × height

Base = 2. 3cm

height = 4. 9cm

Area = 2. 3 × 4. 9

Area = 11. 27 cm²

Thus, the area of the figure is 11. 27 cm²

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The measure of x from the diagram is 15

From the given diagrams, we are told that fg⊥op, rs⊥qr. Given the following parameters

FG = 40,

RS = 40,

OP = 15.

Since the measure of FG is equal to RS, hence the measure of Op will be equal to OQ to have:

OQ = OP = x

x = 15

Hence the measure of x from the diagram is 15

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Answer: 15

Step-by-step explanation:

OP = OQ

they are congruent

Answer:

-45

Step-by-step explanation: Plug the numbers of a and b into the equation.

Answer:

-45

Step-by-step explanation:

ok so basically since a is 3 a2 will be 9 then you put back the plus sign then 3×a×b will be -18 then 6square will be 36.

=9+(-18)-36

= -9-36

=-45

Answer:

$84

Step-by-step explanation:

So since it charges 4%, this means you need to find 4% of what you're transferring. To find x% of a number, you need to convert the percentage to a decimal, and then multiply it by the number you're trying to find x% of. So in this case 4%/100 = 0.04. Now take this decimal and multiply it by 2100, and this will give you 84. So the fee would be $84

Answer:

$84

Step-by-step explanation:

= 4% × $2100

= 0.04 × $2100

= $84

The maximum time in hours will be equal to 24.64 hours.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given function is P(t) = -1684t² +83000t + 10000

The maximum time will be calculated by differentiating the given function with respect to 't' and equate with zero.

[tex]\dfrac{dP(t)}{dt}[/tex] = -1684t² +83000t + 10000 = 0

[tex]\dfrac{d}{dt}[/tex][-1684t² +83000t + 10000] = 0

-3368t + 83000 = 0

3368t = 83000

t = 24.64 hours

Therefore the maximum time in hours will be equal to 24.64 hours.

The correct question is given below:-

The population p(t) of a culture of the bacterium Pseudomonas aeruginosa is given by,p(t)= -1684t² +83000t + 10000 which is the time in hours since the culture was started. Determine the time the population was at its maximum. Round to the nearest hour.

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Answer:

4.6cm

Step-by-step explanation:

v=4/3πr^3

128π=4/3π^3

128π×3=4πr^3

384π\4=πr^3

96π\π=r^3

96=r^3

3√96=r

r=4.579

r=4 6cm

Answer:

Step-by-step explanation:

isosceles obtuse triangle

An isosceles obtuse triangle is a triangle in which one of the three angles is obtuse (lies between 90 degrees and 180 degrees) and the other two acute angles are equal in measurement, and 2 equal sides.

The cubic centimeter one container can hold is 2,878.33 cm³.

In order to determine the  cubic centimeter one container can hold, the volume of the container has to be determined.

Volume of the container = volume of the cylinder + (2 x volume of the hemisphere)

Volume of the cylinder = πr²h

Where:

3.14 x 5² x 30 = 2355 cm³

Volume of a hemisphere = (2/3) x π x r³

2 x (2/3 x 3.14 x 5³) = 523.33 cm³

Volume of the container =  523.33 cm³ + 2355 cm³ = 2,878.33 cm³

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Answer: [tex]27\pi \text{ cm}^{2}[/tex]

Step-by-step explanation:

The area of the entire circle is [tex](\pi)(6^{2})=36\pi[/tex]

The area of the sector with the right angle is [tex]\frac{36\pi}{4}=9\pi[/tex]

Subtracting these areas, we get [tex]27\pi \text{ cm}^{2}[/tex]

Answer:

0.29287

Step-by-step explanation:

You want to use the binomial cumulative distribution function (binomcdf). The purpose of this function is that it allows you to obtain the probability of observing less than or equal to x successes in n trials, with the probability p of success on a single trial.

x in this case is 182, n is 200, and p is 0.9005. Essentially by inputting these values, we find the probability that out of 200 passengers with a 0.9005 chance of getting on the plane, that 182 or less show up.

This gives us P(x <= 182) = 0.70713. (You need your calculator for this step, input the values above in the binomcdf function)

We want to find the probability of more than 182 passengers showing up though, so it would be 1 - 0.70713 = 0.29287.

Thus the probability that when 200 reservations are accepted for the flight, there are more passengers than seats available is 0.29287.

Answer:

2.4 SAUSAGES

Step-by-step explanation:

18 x 2 = 36

36/ 15 = 2.4

Answer:

(-2, 1)

Step-by-step explanation:

So assuming this table contains all the zeroes of f(x) and all of them having a multiplicity of 0. This quadratic equation can be defined as

[tex]f(x) = a(x+2)(x-1)[/tex]. So if you look at the top where its f(-3) then f(-2) then f(-1) it appears to be increasing and then somewhere in between f(-1) and f(0) it has a turning point in which it starts decreasing. and then after f(1) it no longer outputs positive values and appears to be going towards negative infinity. So the interval in which f(x) is positive seems to be finite and using this table it appears to be at (-2, 1) and make sure to use parenthesis since at f(-2) and f(1) it's not positive, because 0 is not positive, so it's not included in the interval

1. make sure you understand what the problem really is

3-4(-2-7)

= 3 + -4 × (-2 + -7)

2. always begin with the brakes

3 + -4 × (-2 + -7)

= 3 + -4 × (-9)

3. then ² and [tex] \sqrt{?} [/tex]

4. then × and and ÷

3 + -4 × (-9)

= 3 + 36

5. lastly + and -

3+36

=39

Answer: A 3 non collinear pts

a plane is a flat surface like a wall

A line passing through the points (-1,-4),(0,0) and (1,4).

The correct option is (B).

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The only line that passes through origin is having coordinates  (-1,-4),(0,0) and (1,4).

m= y/x

m = -4/-1

m=4

Hence, the linear equation is y=4x, which represent in direct variation.

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Answer:

C

Step-by-step explanation:

If the line is a direct variation it has to go through the origin

The value of the given task 0.8 million - 1.76 thousand is 798,240.

0.8 million

= 0.8 × 1,000,000

= 800,000

1.76 thousand

= 1.76 × 1000

= 1,760

So,

0.8 million - 1.76 thousand

= 800,000 - 1,760

= 798,240

Therefore, 0.8 million - 1.76 thousand is 798,240

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The remainder from the division of the algebraic equation is -53/8.

The remainder of the algebraic expression can be determined by using the long division method.

Given that:
[tex]\mathbf{f(x) = \dfrac{x^3 - 6x^2 + 3x - 1}{2x-3}}[/tex]

where:

Using the long division method, we have:

[tex]\mathbf{= \dfrac{x^2}{2} +\dfrac{-\dfrac{9x^2}{2}+3x -1 }{2x-3}}[/tex]

[tex]\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} +\dfrac{-\dfrac{-15x}{4}-1 }{2x-3}}[/tex]

[tex]\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} -\dfrac{15}{8}+\dfrac{-\dfrac{53}{8} }{2x-3}}[/tex]

[tex]\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} -\dfrac{15}{8}-\dfrac{53 }{8(2x-3)}}[/tex]

Therefore, we can conclude that the remainder is -53/8.

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