What is the geometric mean between 6 and 12?

Answer:

Step-by-step explanation:

Equation

y = x^2 + 8x + 7                      Put brackets around the first two terms

y = (x^2 + 8x) + 7                    Take 1/2 the linear term's coefficient  (8)

8/2 = 4                                    Put this result inside the brackets and  square

y = (x^2 + 8x + 4^2) + 7          Take - 4^2 and add it to the seven.

y = (x^2 + 8x + 16) + 7 - 16       What you did, did not change the eqiuation

Y = (x^2 + 8x + 16) - 9              The first 3 terms make a perfect square

y = (x + 4)^2 - 9

The minimum should be at - 4,-9  Just to make sure it is, I'll graph the original equation. The y intercept should be at 7 and the two x roots should x = + 3 - 4 and x = -3 - 4. or x = -1 and x = - 7

Let's see if this all checks out.

Graph of original equation.

The given expression 81x[tex]^2-[/tex] 36 is a multiply of conjugates.

In the given question we have to find expression is a result of multiplying conjugates together, squaring binomials, or neither.

The given expression is 81x[tex]^2-[/tex]36.

If we simplify the expression, then it is written as;

81x[tex]^2-[/tex] 36=(9x)^2-(6)^2

We write it as

81x[tex]^2-[/tex] 36=(9x-6)(9x+6)

It is a multiply of conjugates.

Hence, the given expression 81x[tex]^2-[/tex] 36 is a multiply of conjugates.

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Answer:

mAngleT = 60°

mAngleU = 60°

TS = 13cm

SU = 13cm

Step-by-step explanation:

Since two of the sides are the same the two base angles are also the same. One is 60° so the other one is 60° also. But if they are both 60° and all the angles add up to 180° the last one has to be 60° also.

One side is marked 13cm. It is marked congruent to the left side so they are both 13cm.

But we saw from the angles all being the same, that this is actually an equilateral triangle. So all three sides are the same.

The non-real solutions according to the equation is (1 + √5 i)/3 and (1 - √5 i)/3.

A polynomial can be factored, and its roots can be discovered using the factor theorem. The polynomial residual theorem is indeed a special instance of this one.

A polynomial f(x) has a factor (x-a), as was noted in the beginning, if and only if f(a) = 0.

As per the given equation in the question,

3x⁵ + 25x⁴ + 26x³ - 86x² + 76x - 48

The function can be written as:

f(x) = g(x).h(x)  (i)

The real solutions from the graph is,

x₁ = -6, x₂ = -4 and x₃ = 1.

So,

g(x) = (x + 6) × (x + 4) × (x - 1)

g(x) = (x² + 10x + 24) × (x - 1)

g(x) = x³ + 9x² + 14x - 24.

Now, substitute the values in (i)

3x⁵ + 25x⁴ + 26x³ - 86x² + 76x - 48 = (x³ + 9x² + 14x - 24) × (ax² + bx + c)

Therefore,

ax⁵ = 3⁵

a = 3.

-24c = -48  

c = 2.

-24(bx) + 14(cx) = 76x

-24b + 28 = 76

b = -2.

The equation for non-real solution:

h(x) = 3x² - 2x + 2.

Δ = b² - 4ac = (-2)² - 4(3)(2) = -20

x₁ = (2 + √20)/6 = (1 + √5 i)/3

x₂ = (2 - √20)/6 =  (1 - √5 i)/3

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The sum of the interior angles of a 17-sided polygon is 2700 °.

Given:

sum of the interior angles of a 17-sided polygon.

we know that:

sum of interior angles = n-2 * 180

n = 17

= (17-2)*180

= 15*180

= 2700 °

Therefore the sum of the interior angles of a 17-sided polygon is 2700 °.

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The cost of materials for the least expensive such container is 245.31 dollars .

Suppose the width of container is x (m),

length of the base of container is 2x (m)

the base area of container is (length × width)sq. m i.e 2x² meter².

Since the volume of container is 10 m³.

the height of container = area of container/ volume of container

height of container= 10/2x² m = 5/x² m

The cost of making such container is cost of base = 2x²*10 = 20x².

cost of sides of container = (2×2x × 5/x² + 2× x × 5/x²)×6 = 180/x

The overall cost is hence the sum of the base and the sides: f(x) = 20x² + 180/x

The get the minimum,

df(x)/dx = 20×(2x - 9/x²) = 0

so 2x = 9/x^2 => 2x = 2.0800 ==> x = 1.651 m

f(x) = 245.31 dollars

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Answer:

16(x+5)

Step-by-step explanation:

16x+80

=8(2x+10)

=16(x+5)

The algebraic factor of the given expression 16x + 80 will be 16(x + 5).

An algebraic factor is the multiplication of two algebraic terms.

That term could be in form of summation multiplication or in subtraction.

The root of the quadratic equation formed by the algebraic factor is always real.

As per the given expression,

⇒ 16x+80

Take 8 as common

⇒ 8(2x + 10)

Take 2 as common

⇒ 8 × 2 (x + 5)

⇒ 16 (x + 5)

Hence "The algebraic factor of the given expression 16x + 80 will be 16(x + 5)".

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In statistics, a confidence interval defines the possibility that a population parameter will fall between a set of values for a certain proportion of the time. Analysts commonly incorporate confidence zones that encompass 95% or 99% of the expected data. Thus, if a point estimate of 10.00 is derived using a statistical model with a 95% confidence interval of 9.50 - 10.50, there is a 95% chance that the real value falls within that range.

What is the need for Confidence Intervals?

Confidence intervals are one technique to illustrate how "accurate" an estimate is; the higher the 90% confidence interval for a certain estimate, the more the precaution advised when employing the estimate. Confidence intervals serve as a crucial reminder of the estimates' limitations.

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Answer:

2067.5

Step-by-step explanation:

divide each number and when you get to the end add a zero for the decimal.

Answer:

$48,000

Step-by-step explanation:

To reach the break-even point, the publisher should sell 40,000 books.

A break-even point (BEP) is the point where revenues = total cost. Hence, at this point, the company does not gain profit or loss.

On the other hand, total cost is calculated as:

Total cost = fixed cost + variable cost

Where variable cost depends on the number of units produced.

Therefore,

Total cost = fixed cost + number of unit produced x cost per unit

Parameters given in the problem:

fixed cost = h. 400,000

unit cost = h. 35

selling price = h.45 per unit

Let p be the number of books sold. Then,

Revenues = 45 x p

Total cost = 400,000 + 35 x p

At break-even point:

Revenues = total cost

45 x p = 400,000 + 35 x p

10 p = 400,000

p = 40,000

Hence, the break-even point is 40,000 books

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The mass of mass of 'you' and the skateboard together will be 60 kg.

According to the question,

We have the following information:

You push yourself on a skateboard with a force of 30N and accelerate at 0.5m/s².

We know that the following formula is used to find the force applied:

Force = mass*acceleration

(More to know: force is denoted by F, mass is denoted by m and acceleration is denoted by a.)

Putting the given values in this formula:

30 = m*0.5

m = 30/0.5

m = 60 kg

Hence, the mass of mass of 'you' and the skateboard together will be 60 kg.

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Answer:

This can go both ways but out of 124 black women and only 10 selected you have a chance at least one experienced IPV

Step-by-step explanation:

The correct function represented in the table given is y=2x+3.

Given table:

x            y

0           3

1            5

2           7

3           9

Take any two points suppose take (0,3) and (1,5)

slope m = 5 - 3 / 1 - 0

= 2/1

m = 2.

(0,3) passes through y = mx + c

3 = m*0 + c

m value substitute

3 = 2*0 + c

3 = 0+c

c = 3.

y = mx+c

y=2x+3.

Therefore the correct function represented in the table given is y=2x+3.

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Answer:
x = 48/3

when Jack got 50 chocolates and has left 2, then Jack gave away 50-2=48 chocolates. When each friend got 3 chocolates, the number of friends x is equal to 48 divided by 3.

Answer:

x=16 (friends)

Step-by-step explanatn

50/3 = 16.6666

take away the .66666

so 16x3=48

meaning u would have 2 left over

Answer: 6 zeros

Step-by-step explanation: 30 x 10^5

using P.E.M.D.A.S

you do exponents first

10^5 = 100000

then 100000 x 30 = 3000000

and there is 6 zeros

Answer:

Step-by-step explanation:

You are sorta on the right track, but .... ∠3+81°+∠4 =180°

along with 88°+∠1=180°

∠1-92°

I know why  you put 88° for ∠2 but , it's only 88° from a line parallel to that top line,  not the hypotenuse of the triangle.  But good idea, just not able to apply that here.  

you've nicely marked the two parallel lines so we know that ∠3 will math the other 64° angle ,  now you can solve for ∠2

∠1=92° and ∠3=64°  so ∠2 must equal 180-92-64=24°

∠2=24°

now solve for ∠4

180-64-81=∠4

∠4=35°

finally we can get ∠5

180-35-64=∠5

∠5=81°

and , we should have also seen that ∠5 would be the same as the 81° angle above it by ∠3 and ∠4  since those lines are parallel.

Hope that helps :)

Answer:

Step-by-step explanation:

V = 64

a = ∛V = ∛ 64 = 8

Sum = 12·a = 12·8 = 48

Answer:

-31

Step-by-step explanation:

-31 add 7 on a calculator equals -24

Answer:

Step-by-step explanation:

Ok: Hi

1. First Isolate the x on the left side of equation. Remember that if a variable or number goes over the equal sign, it becomes opposite!

x+7=-24

x=-24-7

x=-31

2. Always double check equations!

-31+7=-24 TRUE

Answer x=-31 or choice B

The x-intercept would be 5.6, and the y intercept would be 4, if that helps.

The graph of the quadratic function x² + 3x - 108 is given by the image shown at the end of the answer.

Three features have to be considered to obtain the graph of a quadratic function.

The function for this problem is defined as follows:

a = 1, b = 3, c = -108.

Hence the coefficients of the function are given by:

a = 1, b = 3, c = -108.

Inserting these points into a calculator, the x-intercepts of the function are:

Hence the function crosses the x-axis at x = -12 and at x = 9, and it is a concave up parabola, as the coefficient a is positive.

The y-intercept of the function is given as follows:

f(0) = 0² + 3(0) - 108 = -108.

Hence the graph crosses the y-axis at y = -108.

The axis of symmetry of the function is:

x = -b/2a = -3/2 = -1.5.

The y-coordinate of the vertex is:

f(-1.5) = (-1.5)² + 3(-1.5) - 108 = -110.25.

Which is the turning point of the graph.

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The points that showed a negative trend is

A graph with a negative trend line slope is said to have a negative trend.

The variables are shown to be negatively correlated, meaning that when one increases, the other decreases and vice versa.

An instance of such graphs would be a graph illustrating the relationship between a car's age and value.

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Answer:

1. 95=8x+55  8x=40  x=5  Reason: Since m and n are parallel, and a line traverse through it, they are corresponding angles, meaning that their angle is the same.

2. 200-2x=130  200-130=2x  2x=70  x=35  Reason: The two angles are the same because the "130-degree" angle's corresponding angle is the vertical angle of the "200-2x" angle.

3. Yes, we can use the corresponding angle theorem to prove that m and n are parallel.

4. No, there's not enough information to determine because both given angles are on line m, we need an angle on line n as well.

5. No, the same explanation as 4^^^ Vertical angles do not necessarily prove that two lines are parallel.

6. Yes, we can use the corresponding angles theorem, and then use the vertical angles theorem.

Good luck, and comment on anything you don't understand. I suggest you watch some help videos.

Answer:

Q36 this is geometry if anyones good at it can someone help me pls

Of the given options, the correct options are [1], [4], [6], [7].

The general equation of a exponential function is -

y = aeˣ

It's graph is plotted and attached below.

In analytic geometry, an asymptote of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the [x] or [y] approaches zero.

Given is the population of a specific species of nocturnal mammal is decreasing at a rate of 3.5%/year.

We have the graph in the question as shown. Of the given options, the correct options are [1], [4], [6], [7].

Therefore, Of the given options, the correct options are [1], [4], [6], [7].

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