Which of the following is the equation of the function below?

Answer:

(3x4 - 5x2 - 4)-( 2x3 x2 + 1) is equals to -15

3x4 - 2x3 - 4x2-5 is equals to -7

Step-by-step explanation:

1.) (3x4 - 5x2 - 4)-( 2x3 x2 + 1)

3 x 4 = 12     5 x 2 = 10     12 - 10 = 2     2 - 4 = -2

2 x 3 = 6     6 x 2 = 12     12 + 1 =  13

-2 - 13 = -15

2.)3x4 - 2x3 - 4x2-5 is eaquals to -7

3 x 4 = 12     2 x 3 = 6     12 - 6 = 6     4 x 2 = 8

6 - 8 = -2     -2 - -5 = -7

Those were my answers

Answer:

x=6.09cm

Step-by-step explanation:

Working out AB:

7.5²+4.9²

= √80.26

AB= 8.96cm

To work out x:

AB is the opposite, where BC is the adjacent. This means that we have to use TOA.

x=8.96/Tan(55.8)

x= 6.09cm

Answer:

6.1 cm

Step-by-step explanation:

Use the Pythagorean theorem for triangle ABD to find the hypotenuse.

7.5^2+4.9^2=c^2. After solving you get that the missing length is about 9 cm. The hypotenuse of ABD is also a leg for ABC so you can use a trigonometric function, tangent, to find x. Set up the equation for opposite and adjacent sides to angle measure 55.8. The equation is tan(55.8)=9/x. In order to isolate the variable you multiply both sides by x to get (x)tan(55.8)=9, then divide both sides by tan(55.8), this leaves you with x=9/tan(55.8). You can then plug this into the calculator to get x is approximately 6.1 cm.

Answer:

  [tex]S_8=\dfrac{1640}{27}=60\frac{20}{27}[/tex]

Step-by-step explanation:

The formula for the sum of a geometric series with first term a1, common ratio r, and n terms is ...

  [tex]S_n=a_1\dfrac{1-r^n}{1-r}[/tex]

This series has 8 terms, a common ratio of -1/3, and a first term of 81. Its sum is ...

  [tex]S_8=81\dfrac{1-(-\frac{1}{3})^8}{1-(-\frac{1}{3})}=81\dfrac{6560/6561}{4/3}=\dfrac{6560(3^4)(3)}{(4)(3^8)}\\\\\boxed{S_8=\dfrac{1640}{27}=60\frac{20}{27}}[/tex]

Answer:

G

Step-by-step explanation:

Looking at the confidential explaniation, 0.7 + 3.89 would be 4.59z

Answer:

B

Step-by-step explanation:

The measure of the tangent- chord angle XYZ is half the measure of its intercepted arc, thus

arc YZ = 2 × 84° = 168° → B

Answer:

1. Coordinates of the other endpoint are (13, -10)

2. Coordinates of the other endpoint are: (8, 8)

Step-by-step explanation:

1. The endpoint (-9, 8) is located in the second quadrant. The midpoint (2, -1) is located in the fourth quadrant. That is to the right and down from the endpoint. Notice that the difference in the horizontal axis between the x-coordinates of the endpoint (-9, 8) and the midpoint (2, -1) is: | 2 - (-9) | = 11

And the difference in the vertical axis is: | -1 - 8 | = 9

So the midpoint is located 11 units to the right,and 9 units down from the endpoint. Then the other endpoint should be located also 11 units to the right, and 9 units down but from the midpoint. That is at: (2 + 11, -1 - 9) = (13, -10)

2. In this case, both, endpoint and midpoint are in the first quadrant, but notice that the midpoint is further away from the origin of coordinates.

The differences now are:

horizontal: 4 - 0 = 4

vertical: 5 - 2 = 3

and in both cases units are added to the endpoint coordinates to get to the midpoint coordinate values.

So to find the other endpoint we add 4 units to the x-value of the midpoint, and add 3 units to its y-value:

Other endpoint at : ( 4 + 4, 5 + 3) = (8, 8)

Answer:

Step-by-step explanation:

To calculate the amount of ice needed for this sculpture, we would apply the formula for determining the volume of a rectangular base pyramid which is expressed as

Volume = 1/3 × base area × height

Since the base is rectangular, base area = length × width = 3 × 5 = 15 m

Given that height = 3.6m, therefore, the amount of ice needed for this sculpture is

1/3 × 15 × 3.6 = 18 m³

Answer: To calculate the amount of ice needed for this sculpture, we would apply the formula for determining the volume of a rectangular base pyramid which is expressed as Volume = 1/3 × base area × heightSince the base is rectangular, base area = length × width = 3 × 5 = 15 mGiven that height = 3.6m, therefore, the amount of ice needed for this sculpture is 1/3 × 15 × 3.6 = 18 m³

Step-by-step explanation:

Answer:

The mean egg production 2499 million

Step-by-step explanation:

P(Z > a) = 3% = 0.03

P(Z > a) = 1 - ∅(a)

1 - ∅(a) = 0.03

∅(a) = 1 - 0.03

∅(a) = 0.97

Checking the normal distribution curve, for ∅(a) = 0.97, z = 1.88

This means that area under the normal curve is 3% (0.03) to the right of z = 1.8808

X = μ + (zб)

X = 2,655 millions

б = 83 million

2655 =  μ + (1.88 * 83)

2655 =  μ + 156.04

μ  = 2655 - 156.04

μ = 2498.96

The mean egg production, is therefore, 2499 million

Answer:

11 1/2

Step-by-step explanation:

Convert improper fraction to mixed number

23 over 2

= 11 and 1/2

23 ÷ 2 = 11 remainder 1

Answer:

11whole,1 and a half

Step-by-step explanation:

divide 23 by 2

Answer:

h(x) = 12x – 6

Step-by-step explanation:

To know which is the function that represents the area of a triangle, you take into account the degree of the given polynomials.

If the degree is 2, the graph of the function is a parabola.

If the degree is 1, the graph of the function is a line.

By comparing all functions you can conclude that only the last option (h(x)=12-x-6) is convenient to construct a triangle. The y-intersect of the function is at y=-6, the slope is positive and the x-intersect is x=1/2. This forms a triangle in the fourth quadrant of the coordinate system.

Answer:

B. g(x) = 12x2 – 6x

Step-by-step explanation:

correct on edge 2020

Answer:

Step-by-step explanation:

5x+y-7=0 isolate y

y=-5x+7 (m=-5,b=7)

9x+7y-14=0

7y=14-9x ( divide both sides by 7)

y=-9x/7 +14/7

y=-9/7 + 2  (m=-9/7, b=2)

x+y=1000

4x+3y=3600 ( multiply the first equation by 3 to eliminate y)

3x+3y=3000

4x+3y=3600 ( subtract the two equations)

3x+3y-(4x+3y)=3000-3600

3x+3y-4x-3y=-600

-x=-600

x=600 ( substitute x in the equation)

x+y=1000

600+y=1000

y=1000-600=400

check : x+y=1000 , (600+400)=1000

check : 4x+3y=3600 = (4(600)+3(400))=2400+1200=3600

how many tickets are sold :

adults x=600/4=150

kids (y)=400/3=133 tickets+1 dollars left

unless( x represent kids then x=200, y represent adult = 100)

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

Question 1:

[tex]5x+y-7=0[/tex]

Write in slope intercept form.

[tex]y=-5x+7 \\m=-5,b=7\\9x+7y-14=0[/tex]

Write in slope intercept form.

[tex]7y=14-9x\\y=-9x/7 +14/7\\y=-9/7 + 2\\m=-9/7, b=2[/tex]

Question 2:

[tex]x+y=1000\\4x+3y=3600[/tex]

[tex]3x+3y=3000\\4x+3y=3600\\3x+3y-(4x+3y) = 3000-3600\\3x+3y-4x-3y=-600\\-x=-600\\x=600[/tex]

[tex]x+y=1000\\600+y=1000\\y=1000-600=400[/tex]

Tickets sold:

Adults:

[tex]x=600[/tex]

Kids:

[tex]y=400[/tex]

Answer: The correct option is 5.7/20 = x/200

Step-by-step explanation: Please refer to the diagram attached for more details.

From the 7-column by 2-row table drawn, you can determine that the mean number of catfish as given in the question is derived as follows;

Mean = Summation of observed data / Number of observations

Mean  = (3 + 5 + 7 + 5 + 6 + 8)/6

Mean = 34/6

Mean = 5.6667

Mean ≈ 5.7

Also the mean number of all fish is derived as follows;

Mean = Summation of observed data / Number of observations

Mean = (20 + 20 + 20 + 20 + 20 + 20)/6

Mean = 120/6

Mean = 20

Using relative frequency, we can confidently predict the number of catfish population in the pond. This simply means, if the mean number of catfish is 5.7 and the mean number of all fish is 20, then the relative frequency would be 5.7 over 20 of the total fish population.

Hence, if there is a total of 200 fish in the pond then to predict the proportion which would be catfish can be expressed as follows;

StartFraction 5.7 over 20 EndFraction = StartFraction x over 200 EndFraction.

OR better expressed as;

5.7/20 = x/200

Answer:

5.7/20 = x/200

Step-by-step explanation:

Answer:

a I believe sorry if I'm wrong

Answer:

I think its B: $56.26

Step-by-step explanation:

If we take 4 as k then

4k = 4(4) = 16 boxes

k + 9 = 4 + 9 = 13 boxes

Answer:

4

Step-by-step explanation:

Box A = 4k

Box B = k+9

Box A > Box B

=> 4k > k+9

Subtracting k to both sides

=> 4k-k > 9

=> 3k > 9

Dividing both sides by 3

=>  k > 3

So, The smallest possible value of k is 4

Answer:

-3

Step-by-step explanation:

x-6=3x

2x=-6

x=-3

The required number is -3 decreased by 6 equals 3 times.

A number to be determine when decreased by 6 equals 3 times the number.

it explores the numbers of operations according to the statements.

Let the number be x,
Now,
x-6=3x
x= -3

Thus, the required number is -3 decreased by 6 equals 3 times.

Learn more about arithmetic here:

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Answer:  No. The grasshopper cannot cover exactly 101 cm in exactly 100 jumps.

Step-by-step explanation:  

If the grasshopper makes 50 forward jumps of 19 cm and 50 backward jumps of 17 cm (in any order) the jumps total 950-850 for a net result of 100.

Changing to any other amount just gets farther away from the goal.

A system of equations yields no solution of integers.

x + y ==100

19x - 17y =101

You can try it, but the result has a decimal. This grasshopper cannot make partial jumps!

There’s 6 numbers that can be used.

The first digit can be any of the 6

The 2nd digit can be any of the 5 left

The 3rd digit can be any of the 4 left

The 4th did fit can be any of the 3 left

The 5th digit can be any of the 3 left

The 6th digit would be the last number left.

Total combinations = 6 x 5 x 4 x 3 x 2 x 1 = 720

Answer:

slope = 2 and y- intercept = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (2, 2)

m = [tex]\frac{2+2}{2=0}[/tex] = [tex]\frac{4}{2}[/tex] = 2

The y- intercept is the value of the y- coordinate at the point where the line crosses the y- axis, that is

y- intercept = - 2

Answer:

3√3

Step-by-step explanation:

One way to figure this out is to form equivalent expressions. For example, in this case, 9^3/4 = (3^2)^3/4 = 3^3/2 = 3 * 3^1/2 = 3 * √3.

Answer:

4m X 6m

Step-by-step explanation:

This is because if there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.

Because the 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.

Becuase 4m is the width, there is 10 - 4 = 6m along each rectangle's length.

The 4m is the width, there is 10 - 4 = 6m along each rectangle's length. the area he will use is 4m x 6m.

The reflexive property of congruence says that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.

Given information; A man has a 10m X 10m square garden. In the center is a 2m X 2m square patch we need to find which he cannot use.

He divides his usable space into four congruent rectangular patches.

If there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.

The 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.

The 4m is the width, there is 10 - 4 = 6m along each rectangle's length.

Learn more about congruent triangles here:

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Answer:

The correct answer is C

Step-by-step explanation:

As you can see Town A is on top of Town B this means that Town B has symetric points to town A. This also shows how Town A is Positively skewed.

Answer: Find a common denominator on the right side of the equation

Step-by-step explanation:

You can see that they found the common denominator of 4 therefore that is the correct answer

Answer:

n=65th term

Step-by-step explanation:

AP:3,15,27,39......

From the AP

a=3

a+d=15

a+2d=27

3+d=15 (1)

3+2d=27 (2)

Subtract (1) from (2)

We have,

2d-d=27-15

d=12

54th term=a+(n-1)d

=3+(54-1)12

=3+(53)12

=3+636

=639

The term is 132 more than the 54th term

132+54th term

=132+639

=771

Find the term

771=a+(n-1)d

771=3+(n-1)12

771-3=12n-12

768=12n-12

768+12=12n

780=12n

n=780/12

=65

n=12

The term which is 132 more than the 54th term is the 65th term

Answer: b) The mixture has the intended number of pounds and costs more than the intended amount.

Step-by-step explanation: At the point D, there is an equal amount of milk and dark chocolate—they each have 25 pounds. This correlates with the equation of line b: x+y=50.   25+25=50

Since the variable y is the amount of Milk Choclate and the variable x is the amount of Dark Chocloate, the equation of line a: 4x + 2y = 130 can be used. So then you plug in the amount of milk chocolate as “x” and amount of dark chocolate “y“.         4(25) + 2(25) =150.

150 is not equal to 130, so even though it has the intended number of pounds, it costs $150 instead of $130, so it costs more than the intended amount

So be is the answer

Hope this helps:)

Answer:

x = 6.73 (corrected to 3 significant figures.)

Step-by-step explanation:

(x-5)^2=3

Square root both sides of the equation.

[tex]\sqrt{(x-5)^2} =\sqrt{3}[/tex]

[tex](x-5) = \sqrt{3}[/tex]

Add 5 to both sides.

[tex]x = \sqrt{3} + 5[/tex]

x = 6.73 (corrected to 3 significant figures.)

Answer:

x=-22 or -13

Step-by-step explanation:

(x-5)^2=3

Or,x^2-10x+25=3

Or,x^2-10x=3-25

Or,x (x-10)=-22

Either

x=-22

Or,

x-10=-22

x=-22+10

x=-12

x=-22,-12

Answer:

x < 4

Step-by-step explanation:

3x - 3 < 9

3x < 12

x < 4

Answer: x < 4

Step-by-step explanation:

3x < 9 + 3

you’re going to add the two (9+3= 12) numbers.

3x < 12

Then divide both sides of the inequality by 3.

3x < 12 = x < 4.

Answer:

The correct choices are;

g(0) = 0

g(1) = 1

and ;

g(-1) = 1

Step-by-step explanation:

In this question, we are to select the correct options.

So let’s take a look at the options

The term g(0) is correct

We can see that the base of the graph is sitting on the origin. At the point where x = 0, then g(x) is also = 0

g(1) is not equal to -1.

g(1) is equal to 1, mark the point 1 on the positive x-axis and trace towards the graph.

g(4) = -2 is another wrong option

The graph has no values on the negative y-axis i.e its smallest value is 0

g(1) = 1 is correct

We can trace this out from the graph

g(-1) = 1 is also correct. This is also traceable from the graph also

Answer:

Number that fits in the green box is 4.

Step-by-step explanation:

Coordinates of a point P are (5, 4)

Rule for the rotation of a point (x, y) 270° counterclockwise about the origin is,

(x, y) → (y, -x)

By this rule, image of the point P(5, 4) will be,

P(5, 4) → P'(4, -5)

Therefore, number that fits in the green box will be 4.

Answer: (-4,5)

Step-by-step explanation:

i got it right ; )

Answer:

1

Step-by-step explanation:

Since they are not parallel nor the same line, they have 1 intersecting point, which is the solution.

If they were parallel, they would have no solution.

If they were the same line, they would have infinite solutions.