The sum of three numbers is 99. The third number is 3 times the first . The second number is 9 more than the first. What are the numbers?

Answer:

Step-by-step explanation:

Add up the given equations t eliminate y and solve for x:

Your choice is correct

9514 1404 393

Answer:

  y = x² -6

Step-by-step explanation:

It helps to remember what the coordinates of a point on a graph mean.

  (x, y) ⇒ the point is x units right of the y-axis, and y units up from the x-axis

If we subtract 6 from the y-value, the point will move down on the graph by 6 units.

__

The red graph is shifted down 6 units from the original black graph. Every (original) y-value has 6 subtracted from it. The original points are described by ...

  (x, y) = (x, x²)

When we subtract 6 from the y-value, the points become ...

  (x, x² -6)

That is, the new (shifted) value of y is ...

  y = x² -6

From the combined standard deviation, with the mean, and standard

deviation of the data sets, the required variance can be found.

Reasons:

The given data information are;

Mean of the first set of observation, [tex]\overline x_1[/tex] = 9.0

Standard deviation of the the first set, σ₁ = 4.0

Sample size of second observation, n₂ = 20

Mean of second sample, [tex]\overline x_2[/tex] = 10

Standard deviation of the combined set, σ₁₂ = 3.0

Sample size of combined set of observation, n₂ = 35

Solution:

The number of elements in the second sample, n₁ = 35 - 20 = 15

The standard deviation of the combined set is given by the formula;

[tex]{\sigma_{12}} = \mathbf{\sqrt{\dfrac{n_1 \cdot \left ( \sigma^2_{1}-d_1^2 \right ) + n_2 \cdot \left ( \sigma^2_{2}-d_2^2 \right )}{n_{1}+n_{2}}}}[/tex]

Where;

[tex]\overline x_{12} =\mathbf{\dfrac{n_1 \cdot \overline x_1 +n_2 \cdot \overline x_2 }{n_1 + n_2}}[/tex]

Therefore;

[tex]\overline x_{12} =\dfrac{15 \times 9.0 +20 \times10.0 }{15 + 20} = \dfrac{67}{7}[/tex]

d₁ = [tex]\mathbf{\overline x_{12}}[/tex] - [tex]\mathbf{\overline x_1}[/tex]

[tex]d_1 = \dfrac{67}{7} - 9.0 = \dfrac{4}{7}[/tex]

d₂ = [tex]\mathbf{\overline x_{12}}[/tex] - [tex]\mathbf{\overline x_2}[/tex]

[tex]d_2 = \dfrac{67}{7} - 10.0 = -\dfrac{3}{7}[/tex]

Therefore;

[tex]3=\sqrt{\dfrac{15 \times \left ( 4.0^2-\left(\dfrac{4}{7}\right) ^2 \right ) + 20 \cdot \left ( \sigma^2_{2}-\left(-\dfrac{3}{7}\right) ^2 \right )}{15+20}}[/tex]

Solving gives;

[tex]Variance, \ \sigma^2_2 = \mathbf{\dfrac{{117} }{28}}[/tex]

[tex]\mathrm{The \ variance \ of \ the \ second \ set, \ \sigma_2^2} = \dfrac{{117} }{28} = 4\dfrac{5}{28}[/tex]

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Answer:

x = 3.2

Step-by-step explanation:

Divide 400 by 125 to get x.

Answer:

Step-by-step explanation:

[tex]125 = x \: \: . \: \: 400 \\ \frac{125}{400} \times 100\% = x \\ 31.25\% = x[/tex]

The height of the triangle if the base is 8 is 3.96 units

Given the following parameters

Base of a triangle = 8 units

Let the hypotenuse be "c"

Let the height be "h"

If the length of the hypotenuse of a right triangle is one unit more than twice the height, then;

c = 2h + 1

According to the Pythagoras theorem:

c² = b² + h²

(2h + 1)² = 8² + h²

Expand

4h²+4h+1 = 64 + h²

4h²-h² + 4h + 1 - 64 = 0

3h² + 4h - 63 = 0

Factorize the result

On factorizing, the value of the height is 2

h = [tex]\frac{-2}{3}+\frac{\sqrt{193} }3\\[/tex]

h = 11.89/3

h = 3.96 units

Hence the height of the triangle if the base is 8 is 3.96 units

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A man who weighs 185 lb on Earth weighs 30.8 lb on the Moon

Two variables are said to be directly proportional if as one variable increases/decreases, the other variables does the same by the same amount.

Let y represent the weight of object on earth and x represent the weight of object on the moon.

y ∝ x

y = kx

When y = 66, x = 10.92, hence:

66 = 10.92k

k = 6

When y = 185 lb:

185 = 6x

x = 30.8 lb

A man who weighs 185 lb on Earth weighs 30.8 lb on the Moon

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Answer:

30.8lb

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Ants love to eat Whales. You learn something new everyday! :)

Answer:

3

Step-by-step explanation:

in both f approaches +infinity

Step-by-step explanation:

the roots are complex

the answer is in the image above

Answer:

x² = 2

x = sqrt. of 6

x = (+-)2.449

Step-by-step explanation:

brainliest plz

Step-by-step explanation:

your correct answer is the last one (x-1)/x²+3x+2.

the second equation lcm will be x²+3x+2 if you expand it .

hope this helps you.

The difference of the Expression is (x -1) / (x² + 3x + 2).

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows:

(Number/variable, Math Operator, Number/variable) is an expression.

We have,

x/ (x² + 3x + 2) - 1/ (x+ 2)(x+ 1)

Now, simplifying the expression as

x/ (x² + 3x + 2) - 1/ (x+ 2)(x+ 1)

= x/ (x² + 2x + x + 2) - 1/ (x+ 2)(x+ 1)

= x/ x(x+ 2) + (x+ 2) - 1/ (x+ 2)(x+ 1)

= x/ (x+2) (x+1) - 1/ (x+ 2)(x+ 1)

= (x-1) / (x+ 2)(x+ 1)

= (x -1) / (x² + 3x + 2)

Thus, the difference of the Expression is (x -1) / (x² + 3x + 2).

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#SPJ7

Step-by-step explanation:

Simple Interest

Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would repay would be $105, the original principal plus the interest.

four rolled-up dollar bills seeming to grow out of dirt, with a miniature rake lying in between them

SIMPLE ONE-TIME INTEREST

I

=

P

0

r

A

=

P

0

+

I

=

P

0

+

P

0

r

=

P

0

(

1

+

r

)

I is the interest

A is the end amount: principal plus interest

P

0

is the principal (starting amount)

r is the interest rate (in decimal form. Example: 5% = 0.05)

EXAMPLES

A friend asks to borrow $300 and agrees to repay it in 30 days with 3% interest. How much interest will you earn?

Show Solution

The following video works through this example in detail.

One-time simple interest is only common for extremely short-term loans. For longer term loans, it is common for interest to be paid on a daily, monthly, quarterly, or annual basis. In that case, interest would be earned regularly.

For example, bonds are essentially a loan made to the bond issuer (a company or government) by you, the bond holder. In return for the loan, the issuer agrees to pay interest, often annually. Bonds have a maturity date, at which time the issuer pays back the original bond value.

EXERCISES

Suppose your city is building a new park, and issues bonds to raise the money to build it. You obtain a $1,000 bond that pays 5% interest annually that matures in 5 years. How much interest will you earn?

Show Solution

Further explanation about solving this example can be seen here.

Answer:

Two and ten.

Step-by-step explanation:

Answer:

2 and 10

Step-by-step explanation:

2 +10 = 12

And 2×10 = 20

Answer:

-28

Step-by-step explanation:

20x+12y-28=20x+12y+[?

subtract like term so 20x-20x and 12y-12y

therefore -28 =[?

Answer:  x=68 °

Step-by-step explanation:

The sum of the angles h in the n-gon is calculated by the formula :

[tex]\displaystyle \rm S=180(n-2)[/tex]

where n is the number of sides

Then the sum of all the corners of the pentagon is equal to

[tex]\rm S=180(5-2)=540 \\\\[/tex]

[tex]\displaystyle x+(x+60)+(x+80)+(x+40)+(x+20)=540 \\\\ 5x+200=540 \\\\ 5x=340 \\\\ \boxed{x=68^{\circ}}[/tex]

Its a Pentagon

[tex]\\ \sf\longmapsto x+x+60+x+40+x+80+x+20=540[/tex]

[tex]\\ \sf\longmapsto 5x+200=540[/tex]

[tex]\\ \sf\longmapsto 5x=540-200[/tex]

[tex]\\ \sf\longmapsto 5x=340[/tex]

[tex]\\ \sf\longmapsto x=340/5[/tex]

[tex]\\ \sf\longmapsto x=68[/tex]

Step-by-step explanation:

-4+13=9

-16-(-29)=13F lower

Answer:

The answer would be c

Step-by-step explanation:

Answer:

B, if not then it's D

Step-by-step explanation:

i believe it is 6: but I dont know for sure

Answer:

row matrix

Step-by-step explanation:

A matrix with only 1xmis called a ______ matrix

Answer:

this statement is confusing me

Step-by-step explanation:

cause I don't understand it

Answer:

83

Step-by-step explanation:

The temperature of the water Jody is in after diving for 20 seconds is 53.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 68 - (2.5\times 20\times 0.3)[/tex]

= 68 - 15

= 53

Therefore we can conclude that the temperature of the water Jody is in after diving for 20 seconds is 53.

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Answer:

[tex]x = \frac{60}{5} = 12[/tex]

..........................................

Answer:

40/54 = 20/27

Step-by-step explanation:

Answer:

c=6

Step-by-step explanation:

c+7=13

-7        -7

c=13-7

c=6

Given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:

Recall:

Given:

Required:

Thus, using the area formula, the equation below is derived:

[tex](l)(l - 470) = 15,000[/tex]

[tex]l^2 - 470l = 15,000\\\\l^2 - 470l - 15,000 = 0\\\\[/tex]

[tex](l + 30)(l - 500) = 0\\\\[/tex]

[tex]l = -30 $ or $ l = 500[/tex]

We will go with the positive value, which is 500.

Therefore, the length of the rectangular field is 500 ft.

Width = l - 470

Width = 500 - 470

Width = 30 ft

Therefore, given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:

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Answer:

B（1.4,0.4）

write x axis then y axis

it have 5line between 1 and 2

so 1/5＝0.2

one line mean0.2

Answer:

B（1.4,0.4）

write x axis then y axis

it have 5line between 1 and 2

so 1/5＝0.2

one line mean0.2