Need help for question 8 and 9. I need the equation that’s passes through the points!

Answer:

Go to an online grapher called desmos . com where you can graph and get the answer! The website is used in khan academy

Step-by-step explanation:

Answer:

300%

Step-by-step explanation:

1 year = 12 months

percent = part/whole * 100%

percent = 12/4 * 100% = 300%

Answer:

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The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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There is a 'strike-through' root at -1 and a double root at 2, so the equation is of the form

\(y=a(x+1)^3 (x-2)^2\)

Since the y-intercept is 4,

\(4=a(0+1)^3(0-2)^2 \implies 4a=4 \implies a=1 \\ \\ \therefore \boxed{y=(x+1)^3 (x-2)^2}\)

Answer:

3.2

Step-by-step explanation:

Answer:

Answer: The first day the author reaches 100 days is on day 16.

To solve this problem, you could use a graphing calculator to graph the given equation. Then, determine when this line crosses 100. It crosses when x = 15.539. Therefore, we would have to round up to 16 so it is at least 100.

You could use the quadratic equation to solve: 100 = x^2 -12x + 45

Either you will get 16. If you use the quadratic formula, make sure to only use the positive answer.

Answer:

y = -27 when x = 9 and z = -3

Step-by-step explanation:

y = kxz is the joint variation where k is a constant

Substitute the knowns in to find k

-50 = k( -10)(5)

-50 = -50k

k = 1

y = xz

Now find y

y = 9*-3

y = -27 when x = 9 and z = -3

Let' begin by listing out the information given:

Number of marbles = 4; blue, blue, red, and green

Jenny pulls out two marbles without replacement. We have:

The quotient of a number x and two tenths is 5x

Quotient is defined as the quantity derived from the division of two numbers.

From the information given, we are to find the the quotient of;

The quotient is written thus;

= x/ 2/ 10

Take the inverse of the denominator and multiply

= x × 10/ 2

= 10x/ 2

find common divisor

= 5x

Thus, the quotient of a number x and two tenths is 5x

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Answer:

Angle of elevation: 68.2°, distance from Mr. clanton to the eagle: 32.3m.

Step-by-step explanation:

I can't draw the diagram , but will try to explain:

the diagram is a right angled triangle, with the opposite as the rig, the adjacent as the distance between mr. clinton and the base of the rig, and the hypotenuse as x.

∅ is the angle of elevation from clinton to the eagle.

Using SOH CAH TOA,

Tan∅ =30÷12

tan∅ =2.5.

∅ =tan^-1( tan raised to power -1 )

∅ =tan^-1(2.5)

∅ = 68.19859051≅68.2 to 3s.f.

To get the distance between mr. clinton and the eagle:

Using SOH CAH TOA;

Cos68.2 =12/x   cross multiplying....

x*cos68.2 =12

∴ x = 12 ÷ cos 68.2

= 12 ÷ 0.3713678356

= 32.31297611≅32.3 to 3s.f.

Hope this helps.....

Answer:

x =1

Step-by-step explanation: Correct solution

\(4=-2(x-3) \\\\\mathrm{Switch\:sides}\\-2\left(x-3\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x-3\right)}{-2}=\frac{4}{-2}\\\\Simplify\\x-3=-2\\x-3+3=-2+3\\\\Simplify\\x = 1\)

Answer:

Step-by-step explanation:

slope of AB = (-3 - (-2)) / (-3 -(-7) = -1/4

slope of BC = (-3 - (-7)) / (-3 -(-4) =  4/1

As the slopes of AB and BC are negative reciprocals of each other, they are perpendicular and therefore triangle ABC is a right triangle.

Answer:

456

Step-by-step explanation:

Product means an answer derived from multiplication.  Therefore, if the product is 155952, and one value is 342, then the following equation is true:

342x = 155952, or 342 * x = 155952

Divide 155952 by 342 to get: 456.

Check the work in the equation:

342(456) = 155952

155952 = 155952, which is true, so the answer is 456.

If I helped, please make this answer brainliest! ;)

Answer:

92

Step-by-step explanation:

Answer:

52 %

Step-by-step explanation:

Total number of squares = 100

Number of shaded squares = 52

% of shaded squares

= ( 52 / 100 ) x 100

= ( 52 x 100 ) / 100

= 5200 / 100

= 52 %

Answer:

  a) radius: 16.3 cm

  b) area: 4122.7 cm²

  c) it is an efficient tub, being within 1.1% of optimum area

Step-by-step explanation:

The volume of the tub is given by the formula ...

  V = πr²h

Then the radius is ...

  r = √(V/(πh)) = √(20000/(24π)) ≈ 16.3 . . . . cm

The radius is about 16.3 cm.

__

The total surface area of a cylinder is ...

  A = 2πr(r+h)

  A = 2π(16.3 cm)(16.3 +24 cm) = 4122.7 cm²

The surface area is about 4,122.7 cm².

__

The "most efficient" cylinder is one that minimizes its surface area for a given volume. Using calculus, it can be shown that cylinder will have its height is equal to its diameter. A good estimate of the optimum dimensions can also be found using a graphing calculator.

For the given cylinder, the height is 24 cm, and the diameter is about 32.6 cm. While that is not the most efficient, a graph of surface area versus height (attached) shows it is only about 1.1% away from the optimum surface area. The most efficient tub would have a height of about 29.4 cm.

  ((this tub area)/(optimum area) -1) × 100% = (4122.65/4078.82 -1) × 100%

  ≈ 1.075% . . . . difference of given tub from "most efficient"

While this is not the "most" efficient tub, we would say it is "an" efficient tub.

_____

Additional comment

In our development above, we have found radius as a function of height, as required by the problem statement. If we're to optimize tub dimensions, it is convenient to define height in terms of radius: h = kr, then find the optimum value of k for a fixed volume.

  V = πr²h = kπr³

  A = 2πr(r +kr) = 2πr²(1+k) = 2π(V/(kπ))^(2/3)(1 +k)

The derivative with respect to k is ...

  A' = (some constant)(-2/3k^(-5/3)(1 +k) +k^(-2/3))

This is zero at the optimum, so we can simplify this to ...

  0 = -2/3(1 +k) +k . . . . . multiply by k^(5/3)/(some constant)

  2/3 = 1/3k . . . . . . . . collect terms, add 2/3

  k = 2 . . . . . . . . . multiply by 3

That is, the height is twice the radius, or equal to the diameter for a cylinder with minimum surface area for a given volume.

__

In taking the derivative, we used the power rule and the product rule.

  (u^a)' = a(u^(a-1))u'

  (uv)' = u'v +uv'

Answer:

49/40

Step-by-step explanation:

By using the LCD method 49/40 is the equivalent fraction by adding 5/8 and 3/5 your welcome

Answer:

5/8 + 3/5 = 49/40

Step-by-step explanation:

(5 x 40)/(8 x 40)

(3 x 40)/(5 x 40)

25/40

24/40

25 + 24/40

Answer:

0.5,4,3/2,15,V16

Step-by-step explanation:

Be cause if you want ur estimate u have to but the numbers in order so thst how u get ur anwser got to put the numbers small to large.

HOPE IT HELPS GIVE BRAINLEAST :)

ummmmmm you dont need the explanation and I'd rather not type but trust me its d, good luck!

The number of pork sliders sold is given as follows:

24 pork sliders.

The number of pork sliders sold is obtained applying the proportions in the context of the problem.

The total number of pork sliders is given as follows:

120 pork sliders.

The percentage of pork sliders sold is given as follows:

20%. (proportion of 0.2).

Hence the amount sold is given as follows:

0.2 x 120 = 24 pork sliders.

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The rate of return for the entire portfolio, given the amount allocated to each of the four securities is

The rate of return would be the expected return of the proportion of the amounts invested into the various investment vehicles and their rates of return.

The rate of return for the portfolio is therefore :

= ∑ ( proportion invested x rate of return )

= ( 25 % x 12 % ) + ( 10 % x 7 % ) + ( 35 % x 22 % ) + ( 30 % x  - 12 % )

= 7. 8 %

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Answer:

C (Lake Depth Answer)

Step-by-step explanation:

Here we want to find the math that ends up with 0.

The stock starts with 12$, but loses 16$.

That's -4$ total, not 0.

The ion starts with 19 protons, and 18 electrons. Protons are postive charges, electrons are negative.

This leaves us with 1 proton, not 0.

The lake depth increases by 6 inches, but evaporates 6.

This leaves us back where we started, with 0.

Ahmed spends 25$, but earns 30$.

This leaves us with $5, not 0.

Answer:

15.70

Step-by-step explanation:

Answer:

78.5

Step-by-step explanation:

Formula: a = πr², r = d/2

Given: π = 3.14, d = 10

Sub: a = (3.14)r²

Find r.

r = 10/2

r = 5

Sub: a = (3.14)5²

Simplify: a = (3.14)25

Solve: a = 78.5

The answer is 78.5.

If this truly helped you, help me out by thanking me.

-Xax.

As Tan A=Perpendicular/Base, x has the value of 21.56. Tan 54 = x/32, or x = 21.56, in this case.

When two lines cross at a 90-degree angle, they are said to be perpendicular. The definition of a parallel line is a line with constant spacing. being perfectly vertical or upright: making a straight angle with one another or another given line or plane. Adverbial phrase meaning "perpendicularly"

As a result of two lines meeting at a right angle, the word "perpendicular" denotes "at right angles." Including up and down, across, and side to side, perpendicular lines can face in any direction. Additionally, they don't need to be standing straight up from the bottom or side of the page.

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The value of chi-square statistic is;

In the contingency table, "O" stands for the observed value, "E" for the predicted value, and "I" for the "ith" position.

Given,

Chi- Square test;-

A statistical technique called the chi-square test is used to compare actual outcomes with predictions. The goal of this test is to establish whether a discrepancy between observed and expected data is the result of chance or a correlation between the variables you are researching.

We have to find the value of chi- square statistic;

The chi-squared statistic is a single figure that indicates the degree to which the counts you saw deviate from the counts you would anticipate if there were no association at all in the population. If I is the "ith" position in the contingency table, "O" is the observed value, "E" is the anticipated value, and "O" is the observed value.

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(f + g)(x) = 2 x²+6x+2

The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)). It means here function g is applied to the function of x. So, basically, a function is applied to the result of another function.

Given function is:

f ( x ) = 2 x + 2 and g ( x ) = 2 x² + 4 x

So,

(f + g)(x)

= f(x)+g(x)

= 2x+2+2 x² + 4 x

=2 x²+6x+2

Hence, (f + g)(x) = 2 x²+6x+2.

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Answer:

  207 m^2

Step-by-step explanation:

The surface area of a pyramid with side length s and slant height h is ...

  SA = s^2 + 2sh

  SA = s(s +2h)

  = (9 m)(9 m+ 2(7 m)) = (9 m)(23 m) = 207 m^2

The surface area of the model is 207 square meters.

Answer:

Factorizing is the part of math where you find out the equations.

Step-by-step explanation:

Answer:

Factoring is the process of trying to find a numbers factor.

Step-by-step explanation:

Ex: 6 is 2 × 3

Answer:

Below

Step-by-step explanation:

Area is base ( which is 6 m) times the height ( which is 8m)

6 x 8 = 48 m^2