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Given h(x) = 2x – 1, find h(-1).
Answer:

Answer:

Step-by-step explanation:

Its like doing a long division with base 10 numbers:

           1110    <----------- Quotient

101)1001010

        101

         1000

            101

               111

                101

                  100

So the answer is 1110 remainder 100.

We can confirm this by converting to decimal numbers

1001010 = 74 and 101 = 5.

74 / 5 = 14 remainder 4.

Answer:

Step-by-step explanation:

Earnings per week = $ 400

Earning for 'w' week = 400*w + holiday bonus

                                   = 400w + 250

Earnings at 4 weeks = 400*4 + 250

                                   = 1600 + 250

                                   = $ 1850

Earnings at 12 weeks = 400*12 + 250

                                   = 4800 + 250

                                   = $ 5050

Earnings at 36 weeks = 400*36 + 250

                                   = 14400 + 250

                                   = $ 14650

Answer:

AD=7.5

Step-by-step explanation:

If AB=15 and D is the midpoint that means AD=DB which is half of AD,

AD=AB/2

AD=15/2

therefore AD=7.5

Answer:

1/3

Step-by-step explanation:

I guess it's asking for probability of prime number

so we have 3 card and only one of them is prime (5)

so the answer is 1/3

Answer:

i would say 1/5 because it is between 2 and 12

Step-by-step explanation:

Step-by-step explanation:

7+7.857836-$(92726940)

Answer:

Step-by-step explanation:

\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:100

\mathrm{Multiply\:the\:quotient\:digit}\:\left(0\right)\:\mathrm{by\:the\:divisor}\:505

\mathrm{Subtract}\:0\:\mathrm{from}\:23

In this problem, the distributive property is very important, but there is another thing that we can look at to make this much easier. We notice that the terms on the left are being multiplied by 6. We can rewrite the right side so that it is also a multiple of 6:

6(3c - 5d + 6) = 6(1)

Now, we can divide both sides by 6, and we get:

6(3c - 5d + 6) = 6(1)

3c - 5d + 6 = 1

3c - 5d = -5

Answer:

47. n = -3

48. n = -15

49. n = -13/3

50. n = -17/3

Step-by-step explanation:

47.

6n + 4n = -30, so 10n = -30. Dividing by 10 on both sides, we get that n = -3.

48.

6n - 4n = -30, so 2n = -30. Dividing by 2 on both sides, we get that n = -15.

49.

6n - 4 = -30, so 6n = -26. Dividing by 6 on both sides, we get that n = -13/3.

50.

6n + 4 = -30, so 6n = -34. Dividing by 6 on both sides, we get that n = -17/3.

Based on the fact that there are  4 points which are given below, we have to move the trapezoid to the points of B will be (x+1, y-3).

The points on the graph are:

A trapezoid is regarded as a  quadrilateral that has only one pair of opposite sides that are said to be parallel.

It is made up of a right angles (called right trapezoid), and it can also contain a congruent sides (isosceles). Note that in the above, the only way the trapezoid  can fit into the translation movement (Point B)is if it is moved to the points of (x+1, y-3) on the graph.

B(-5,4) =>B'( -4,1)

B= 5-4,  4-3 =  +1, -3.

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After translation, the coordinate of point B' is (-4, 1).

Use the concept of coordinate defined as:

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

The given translation is:

(x+1, y-3)

The coordinate of B' is (-5, 4)

Now apply the translation on the point B'

(-5+1, 4-3) = (-4, 1)

Hence,

After translation, the coordinate of point B' is (-4, 1).

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[tex]\Large{\underline{\sf Solution:-}}[/tex]

[tex]\\ \sf\dashrightarrow L=\dfrac{\Theta}{180}\times \pi r[/tex]

[tex]\\ \sf\dashrightarrow 10=\dfrac{\Theta}{180}\times 3.14\times 15[/tex]

[tex]\\ \sf\dashrightarrow 10=\dfrac{\Theta}{180}\times 47.1[/tex]

[tex]\\ \sf\dashrightarrow \Theta=\dfrac{10(180)}{47.1}[/tex]

[tex]\\ \sf\dashrightarrow \Theta=\dfrac{1800}{47.1}[/tex]

[tex]\\ \sf\dashrightarrow \Theta=38.2°[/tex]

Answer:

[tex]10x−15[/tex]

Step-by-step explanation:

[tex]5(2x−3)[/tex]

[tex]5(2x)+5( −3)[/tex]

[tex]10x+5(−3)[/tex]

[tex]10x−15[/tex]

Answer:

[tex]10x + 15[/tex]

Step-by-step explanation:

[tex]5(2x−3) [/tex]

[tex]5(2x)+5(−3)[/tex]

[tex]10x + 15[/tex]

A general linear equation is given by:

[tex]y = a*x + b[/tex]

Where a is the slope and b is the y-intercept.

Here we will find that the linear equation that represents the situation is

[tex]y = 0.033*x + 1.269[/tex]

And we can expect that the median salary in 2048 is $2.853 million

If the line passes through the points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

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

Here we know that:

in 2007 (x = 7) the median player salary was y = $1.5 million

in 2013 (x = 13) the median player salary was y = $1.7 million.

Then we have two points that we can write as:

(7, 1.5)

(13, 1.7)

Note that the y-value is in millions.

Then the slope of the linear equation will be:

[tex]a = \frac{1.7 - 1.5}{13 - 7} = 0.033[/tex]

So the linear equation is something like:

[tex]y = 0.033*x + b[/tex]

To find the value of b, remember the point (7, 1.5), this means that when we have x = 7, we also have y = 1.5, then we can replace these in the above equation:

[tex]1.5 = 0.033*7 + b\\\\1.5 - 0.033*7 = b = 1.269[/tex]

Then the linear equation is:

[tex]y = 0.033*x + 1.269[/tex]

b) Now we want to predict the median salary in 2048. For 2048 the x-value is x = 48

So we just need to evaluate this in the linear equation:

[tex]y = 0.033*48 + 1.269 = 2.853[/tex]

Then the median salary in 2048 will be $2.853 million

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Answer:

25

Step-by-step explanation:

40+76+84 = 200.

200 ÷ 8 = 25

Answer: 25.

Answer:

-4 < 4

Step-by-step explanation:

-4 is less than 0  

4 is greater than 0

-4 < 4

Step-by-step explanation:

figure 1,2 respectively..

-1.4 is your answer

hope it helps

Answer:

Step-by-step explanation:

focus distance=9

a=2 f²=a²+b² ==> b²=9²-2²=77 ==> b=√77

[tex]\dfrac{(x-0)^2}{2^2}- \dfrac{(y-0)^2}{77}=1\\\\\\\boxed{\dfrac{x^2}{4}- \dfrac{y^2}{77}=1}\\[/tex]

Equation of hyperbola is  [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex].

Hyperbola is defined as an open curve having two branches which are mirror images to each other.

A plane curve generated by a point so moving that the difference of the distances from two fixed points is a constant : a curve formed by the intersection of a double right circular cone with a plane that cuts both halves of the cone.

Given

Foci: (-9, 0) and (9, 0)

Foci: (±9, 0)

Vertices: (-2,0) and (2,0)

Vertices: (±2, 0)

So, a = ±2, c = ±9

Now [tex]c^{2} =a^{2} +b^{2}[/tex]

[tex]b^{2} =c^{2} -a^{2}[/tex]

[tex]b^{2} =9^{2} -2^{2}[/tex]

[tex]b^{2} =81-4[/tex]

[tex]b^{2} =77[/tex]

Equation of hyperbola is

[tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} } =1[/tex]

⇒ [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex]

Hence, equation of hyperbola is  [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex].

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Answer:

b / a.

Step-by-step explanation:

b / c = a

b = a * c

a * c = b

c = b / a.

Hope this helps!

Answer:

all i see is ..........

Step-by-step explanation:

alright I can help!!

so slope intercept form is y= mx +b

20y=16x+120

y=(16x+120)/20

final answer: y=(4/5)x +6

Answer:

x = 12.053

hope this helps !!

Step-by-step explanation:

A. parallelogram & Rhombus

B. trapezium

Step-by-step explanation:

(p+1)³

p³+3×p²×1+3×p×1²+1³

p³+3p²+3p+1

I hope it helped U

stay safe stay happy

I hope it will be helpful to you .

Answer: 2/25

Step-by-step explanation: Since we are replacing the marbles, these two events are independent which means that the outcome of the first does not affect the outcome of the second.

First find the probability of selecting a blue marble.

There are 2 favorable outcomes, the blue marbles,

and 10 possible outcomes, all the marbles in the bag.

So the probability of selecting a blue marble is 2/10 or 1/5.

Always reduce when finding probability

Now we find the probability of selecting a green marble.

There are 4 green marbles and 10 total so the probability of

selecting a green marble is 4/10 or 2/5.

Now we multiply the probabilities.

So we have 1/5 x 2/5 or 2/25.

Answer:

Answer:

He ate 40% of it

Step-by-step explanation:

20/50 is 2/5, which is basically 4/10 therefore equaling 40%

Answer:

56m²

Step-by-step explanation:

1/2×b×h

1/2×14×8

1/2×112

112/2

56m²

There are many examples you could go with, but one is "If a shape is a square, then it is always a rectangle".

The converse has us flip the statement into "If a shape is a rectangle, then it is always a square" which is not true. Some rectangles aren't squares.

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

Another example could be "If it is a dog, then it is an animal" which is always true. The flip of it is "If it's an animal, then its a dog" which is false because the animal could be a cat for instance.

Answer:

2

Step-by-step explanation:

2x+2(x-2)=4

2x+2x-4=4

4x=4+4

4x=8

X=8÷4

X=2