The table shows the height increases in inches, of some of the girls in Gina’s class from last month to this month. What girl had a height increase that was greater than 1/2 inch?

Answer:

For this case a polynomial is defined with the following expression:

[tex] p(x) =\sum_{i=1}^n a_i x^i[/tex]For all x on the domain considered and n is finite

And by definition the absolute value function is defined as:

[tex] |x|= x, x \geq 0[/tex]

[tex] |x| =-x , x<0[/tex]

If we use the function [tex] f(x) =|x|[/tex] we see that is impossible to obtain the general expression of a polynomial since we can't obtain the form |x| and since we don't satisfy the definition the answer would be:

An absolute value function CANNOT be considered as a polynomial function

Step-by-step explanation:

For this case a polynomial is defined with the following expression:

[tex] p(x) =\sum_{i=1}^n a_i x^i[/tex]For all x on the domain considered and n is finite

And by definition the absolute value function is defined as:

[tex] |x|= x, x \geq 0[/tex]

[tex] |x| =-x , x<0[/tex]

If we use the function [tex] f(x) =|x|[/tex] we see that is impossible to obtain the general expression of a polynomial since we can't obtain the form |x| and since we don't satisfy the definition the answer would be:

An absolute value function CANNOT be considered as a polynomial function

Answer:

20 miles

Step-by-step explanation:

I'm not sure if that is exactly how you solve it but

If its

8x+4 as the equation and x is the number of hours run

the total number of miles run should be 20 miles

8(2)+4=20

Answer:

20 miles

Step-by-step explanation:

miles already covered = 4

rate of speed = 8miles / hour

miles to be covered = 8 miles/hr× 2 hr= 16 miles ( because distance is velocity × time)

total miles covered = 16 + 4 = 20 miles.

Answer: x = 27/2

Step-by-step explanation:

2/3x-2=7

2/3x=9

2/3x=27/3

2/3x(3/2)=27/3(3/2)

x=81/6

x=27/2

Answer: x = 27/2

Step-by-step explanation: In this equation, our first step is to isolate the x term by adding 2 to both sides.

On the left, -2 and +2 cancel out and were left

with 2/3x and on the right, 7 + 2 simplifies 9.

So we have 2/3x = 9.

In order to get x by itself, since it's being multiplied by a fraction,

we multiply both sides of the equation by the reciprocal of that fraction.

The reciprocal of a fraction is just that fraction

flipped so the reciprocal of 2/3 is 3/2.

So we have (3/2)(2/3x) = 9(3/2).

On the left, the 2's cancel and the 3's cancel.

On the right, 9(3/2) is 27/2.

So x = 27/2

Answer: $310.31

Step-by-step explanation:

Invested amount (P) = $302

Interest rate (r) = 3.3% per year

Period = 10 months

Recall, simple interest formula :

A = P(1 + rt) where ; A = final amount

Interest = 3.3% = 3.3/ 100 = 0.033

A = $302 ( 1 + 0.033(10/12))

A = $302 (1 + 0.033(0.8333333))

A = $302 ( 1 + 0.0275)

A = $302 ( 1. 0275)

A = $310.305

A = $310.31

Explanation:

For the first slot, we have 9 digits to choose from (1 through 9).

Whatever we pick for the first choice, we have 9 choices left for the second slot. Say we picked 2 for the first slot. That means we have {0,1,X,3,4,5,6,7,8,9} to choose from. I used X to indicate we can't pick that digit any more. You'll see there are 9 items in that list.

Then for the third slot, we had 8 choices to pick from

Overall we have 9*9*8 = 81*8 = 648 different area codes possible where the first digit cannot be zero.

Answer:

8 pi cm^2

Step-by-step explanation:

To answer this question, what we need firstly is the name of the cross section that results from slicing a sphere into half.

The cross section that results is called a hemisphere, which is half the size of the sphere.

But before we can calculate the area of the new cross section, we will need the radius of the original shape.

This is obtainable from the volume of the shape.

Mathematically;

Volume of a sphere = 4/3 * pi * r^3

32/3 * pi = 4/3 * pi * r^3

We can take off pi/3 from both sides so we are left with;

32 = 4r^3

Divide through by 4

r^3 = 8

r is the cube root of 8 = 2 cm

Now we find the area of the hemisphere

Mathematically, the area of a hemisphere is 2 * pi * r^2

using the value of r = 2 cm given above, we have

Hemisphere area = 2 * pi * 2^2 = 8pi cm^2

Answer: C. (5, -10)

Step-by-step explanation:

When we have a point (x, y) and we do a dilation around (0,0) with a scale factor of A.

The new point will be:

(A*x, A*y)

in this case, the point is (3, -6) and the scale factor is (5/3)

Then the new point will be:

(3*(5/3), -6*(5/3)) = (5, -10)

Answer:

6.34 seconds.

Step-by-step explanation:

The object will hit the ground when h = 0.

-16t^2 + 90t + 72 = 0

8t^2 - 45t - 36 = 0

We can then use the quadratic formula to solve.

[please ignore the A-hat; that is a bug]

[tex]\frac{45±\sqrt{45^2 - 4 * 8 * -36} }{2 * 8}[/tex]

= [tex]\frac{45±\sqrt{2025 + 1152} }{16}[/tex]

= [tex]\frac{45±\sqrt{3177} }{16}[/tex]

= [tex]\frac{45±56.36488268}{16}[/tex]

(45 - 56.36488268) / 16 = -0.7103051678

(45 + 56.36488268) / 16 = 6.335305168

Since the time cannot be negative, the object will hit the ground after about 6.34 seconds.

Hope this helps!

Answer:

22

Step-by-step explanation:

Answer:

22 band uniforms

Step-by-step explanation:

Each band uniform costs $45, and you have $1000. We want to find how many band uniforms you can purchase.

Therefore, we can divide 1000 (total money) by 45 (cost of one band uniform)

1000/45

Divide

22.2222222

0.2222... , or a part, of a uniform cannot be purchased, so we must round down to the nearest whole number.

22

22 band uniforms can be purchased.

Step-by-step explanation:

the freezing point of water is 0⁰c...

0⁰c is as positive value but this is also considered as also in negative so it is not fixed but after a experiment it shows that 0⁰c ⁷

Answer:

Mia's iced coffee is 4^\circ\text{C}4  

∘

C4, degrees, start text, C, end text below the freezing point of water.

Step-by-step explanation:

Answer:

10,000 panels

Step-by-step explanation:

A TV panel is being produced by two factory plants

Plant A produced 5000 fewer panels than plant B

Let a represent the number of panels produced by plant A and b represent the number of panels produced by plant B

a= b-5000............equation 1

5% of the panels from plant A were defective

= 5/100

= 0.05

2% of the panels from plant B were defective

= 2/100

= 0.02

The total defective panels of both plants is 450

0.05a + 0.02b= 450..............equation 2

Substitute b-5000 for a in equation 2

0.05(b-5000) + 0.02b= 450

0.05b - 250 + 0.02b= 450

Collect the like terms

0.05b+0.02b= 450+250

0.07b= 700

Divide both side by the coefficient of b which is 0.07

0.07 b/0.07= 700/0.07

b= 10,000

Hence plant B produced 10,000 panels

Answer:

8cm

Step-by-step explanation:

the ratio of cm to km is 1 cm on the map equals 40 km. or 1/40 so you have to find what is x/320 using the ratio of 1/40 you gt that x equals 8

Answer:

Step-by-step explanation:

please include a picture of the question! :)

Answer:

About 4.44

Step-by-step explanation:

Let x represent the unknown amount of CD's sold each day. Thus, the linear equation is formed:

40-x = 2x + 3 (2x) Next collect like terms by adding x to both sides.

40-x+x= x + 2x + 3 (2x)

40 = 3x + 3 (2x)

40 = 3x + 6x

40= 9x

40/9 = 9x/9

x= 4.44

Note: 2x represents doubling up the sales amount, which was left.

3x represents tripling the sales amount left.

Answer:

Options (1), (2), (4) and (5) are correct.

Step-by-step explanation:

Characteristics of the given hyperbola,

1). Vertex of the given hyperbola are at (-3, 6) and (-3, 4).

2). Since center of a hyperbola is the center of a line joining vertices of the hyperbola,

Center of the given parabola will be,

[tex](\frac{-3-3}{2},\frac{6+4}{2})[/tex] ⇒ (-3, 5)

3). Vertical line joining the foci of the hyperbola is the transverse axis.

4). A line perpendicular to the transverse axis and passing through the center will be the conjugate axis.

5). Directrices of a horizontal hyperbola are the horizontal lines.

Therefore, Options (1), (2), (4) and (5) are correct.

Answer:

check photo. <3

Step-by-step explanation:

Answer: not sure

Step-by-step explanation:

Answer:

The percentage of alcohol in the resulting mixture is 30%

Step-by-step explanation:

The equation given are;

Volume of added water = 1 gallon = 3.79 litres = 4 quarts

Volume of mixture of alcohol = 6 quarts = 5.68 litres

Concentration of the alcohol in 6 quarts = 50%

Given that the mixture of alcohol and water is 50% alcohol and 50% water, we  have;

Volume of 100% alcohol in 5.68 liters = 0.5× 5.68 = 2.84 litres = 3 quartz

Total volume of the final solution = 5.68 + 3.78 = 9.46 litres = 10 quarts

Percentage by volume of 100% alcohol in total volume of the resultant solution = 3 quarts/((4 + 6) quarts) × 100 = 3/10 × 100 = 30%

The percentage of alcohol in the resulting mixture = 30%.

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

Explanation:

Think of two numbers that multiply to -36 and also add to 5. Put another way: think of two factors of -36 that add to 5.

Those two numbers are 9 and -4 since

9 times -4 = -36

9 plus -4 = 5

So we have x^2 + 5x - 36 factor into (x+9)(x-4)

x+9 is one factor

x-4 is the other factor

-------

Alternatively, you can use a graphing tool to locate the x intercepts, and that will in turn lead to the factorization. Or you could use the quadratic formula to get the job done. Completing the square is yet another tool to use. So there are multiple approaches.

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▹ Answer

Linear

▹ Step-by-Step Explanation

As x increases by 4, y increases by 6.

13 + 4 = 17

17 + 4 = 21

21 + 4 = 25

0 + 6 = 6

6 + 6 = 12

12 + 6 = 18

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

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[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the GRAPHS AND FUNCTIONS.

This here, from the graph we can see that it's a EXPONENTIAL GROWTH.

Thus the relationship is Exponential.

Answer:

sqrt[(2m^2n)^3]

Step-by-step explanation:

So let's break down the exponent.  The top number represents the number of times the term is repeated.  The bottom number represents the root to be taken of the final product.  With this in mind, let's rewrite this expression.

(2m^2n)^3/2

= [(2m^2n)^3]^1/2

Notice we have 3 of the (2m^2n) terms, but they are all under the 2nd root (aka a square root).

So now, we'll rewrite this into the radical form.

sqrt[(2m^2n)^3]

I hope this helps.

Cheers.

The coordinates of the inverse are (1.25, 1) (2.50, 2), (6.25, 5), (18,75, 15) and (25.00, 20)

The table of values is given as:

Gallons       Cost

1                      1.25

2                     2.50

5                     6.25

15                     18.75

20                    25.00

The inverse of the above table would have the following header

Cost     Gallons

When the inverse table is populated, we have:

Cost    Gallons

1.25          1

2.50        2

6.25         5

18.75        15

25.00      20

The coordinates are: (1.25, 1) (2.50, 2), (6.25, 5), (18,75, 15) and (25.00, 20)

Hence, the coordinates of the inverse are (1.25, 1) (2.50, 2), (6.25, 5), (18,75, 15) and (25.00, 20)

Read more about coordinates at:

https://brainly.com/question/10690059

#SPJ1

Answer:

-1/6=-0.166

-2/3=-0.66

Step-by-step explanation:

-by looking carefully you will notice that . which number is greater and smaller.

Answer:

-1/6 is greater than -2/3

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Hello,

First of all, let's check the denominator.

[tex]x^2-x-6 \ \ \text{ *** How to factorise it ...? ***}\\\\\text{*** The product of the roots is -6=-2*3 and their sum is 1 ***}\\\\x^2-x-6=x^2-3x+2x-6=x(x-3)+2(x-3)=(x+2)(x-3)[/tex]

Now, let's see the numerator.

[tex]x^2+8x+4 \ \text{ *** -2 is not a zero as ***}\\\\(-2)^2+8*(-2)+4=4-16+8=-4\\\\\text{*** 3 is not a zero as ***}\\\\3^2+8*3+4=9+24+4=37\\[/tex]

So we cannot factorise the numerator with (x+2) or (x-3)

Then, -2 and 3 are the the discontinuities of the expression.

There is only -2 in the list, this is the correct answer.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

x = 1/3 and x = 1.

Step-by-step explanation:

3x^2 - 4x + 1 = 0

(3x - 1)(x - 1) = 0

The solutions are when either 3x - 1 = 0 or x - 1 = 0.

3x - 1 = 0

3x = 1

x = 1/3

x - 1 = 0

x = 1

So, x = 1/3 and x = 1.

Hope this helps!

Answer:

a) Median: 9

b) Range: 5

c) Mode: 7

Step-by-step explanation:

The median is the number in the middle.

First, you put the numbers in order: 7, 7, 7, 8, 10, 11, 12, 12

The middle of this is 8 and 10, so you plus them and divide by to 2, then it gives 9, so the median is 9.

To find the range, you minus the highest number and the lowest number, 12-7=5.

Mode is the most occurring and repetitive number, in this case, 7, because it is written 3 times.

Hope this helps!!!

Answer:

[tex]\boxed{\mathrm {Median = 9}}[/tex]

[tex]\boxed{\mathrm{Range = 5}}[/tex]

[tex]\boxed{\mathrm{Mode = 7}}[/tex]

Step-by-step explanation:

The observations are:

8,7,12,7,11,10,7,12

In ascending order:

=> 7,7,7,8,10,11,12,12

A) Median => Middlemost no.

Median = 8,10

=> [tex]\frac{8+10}{2}[/tex]

=> [tex]\frac{18}{2}[/tex]

Median = 9

B) Range = Highest No. = Lowest No.

RANGE = 12-7

Range = 5

C) Mode => frequently occurring number

Mode = 7

Answer:

Reflect across the y-axis, stretch the graph vertically by a factor of 3

Step-by-step explanation:

The question has certain errors, in fact the functions are the following:

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

f (x) = 2 ^ x

The transformation that we can do to obtain the translated graph, Are given in 2 steps, which are the following:

1. When x is replaced by -x, then it reflects the graph on the y axis.

2. 3 multiplies with the function, it means that it stretches the main function vertically in 3 units.

So to summarize it would be: Reflect across the y-axis, stretch the graph vertically by a factor of 3

Answer:

The solution is (2,5)

Step-by-step explanation:

The solution to the system of equations is where to the two graphs intersect

The two lines intersect at x=2 and y = 5

The solution is (2,5)

Answer:

Hey there!

The solution for a system of equations (simultaneous equations), is where the two lines intersect.

We see that the lines intersect at (2,5), making (2,5) the solution to the system of equations.

Let me know if this helps :)

Answer:

5/33

Step-by-step explanation:

5/12 * 4/11 = 20/132 = 10/66 = 5/33

This question is incomplete.

Complete Question

A twelve-foot ladder is leaning against a wall. If the ladder reaches eight ft high on the wall, what is the angle the ladder forms with the ground to the nearest degree?*

Answer:

42°

Step-by-step explanation:

From the question, the diagram that is formed is a right angle triangle.

To solve for this, we would be using the trigonometric function of Sine.

sin θ = Opposite side/ Hypotenuse

From the question, we are told that:

12 foot ladder is leaning against a wall = Hypotenuse

The ladder reaches 8ft high on the wall = Opposite side.

Hence,

sin θ = 8ft/12ft

θ = arc sin (8ft/12ft)

= 41.810314896

Approximately to the nearest degree

θ = 42°

Therefore, the angle the ladder forms with the ground to the nearest degree is 42°

Answer:

x ≥ 0

Step-by-step explanation:

The absolute value of something will always be the same number if the number is positive. Therefore, the values of x which make this true are x ≥ 0.