For the following geometric sequence find the recursive formula: {-1, 3, -9, ...}.

Answer:

[tex]\tt x^2+3xy+4y^2[/tex]

Step-by-step explanation:

[tex]\tt(x-2y)^2+7xy\\\\=x^2-4xy+4y^2+7xy\\\\=x^2+3xy+4y^2[/tex]

Answer:

[tex] x^2 + 3xy + 4y^2 [/tex]

Step-by-step explanation:

[tex] (x - 2y)^2 + 7xy = [/tex]

[tex] = (x - 2y)(x - 2y) + 7xy [/tex]

[tex] = x^2 -2xy - 2xy + 4y^2 + 7xy [/tex]

[tex] = x^2 + 3xy + 4y^2 [/tex]

Answer:

C. y-10=2(x-1)

Step-by-step explanation:

We have two points on the line, we can find the slope

m = (y2-y1)/(x2-x1)

   = (10-2)/(1--3)

   = 8/(1+3)

   =8/4

  =2

The slope is 2

We can use point slope form using the point (1,10)

y-y1 = m(x-x1)

y-10 = 2(x-1)

Answer:

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-3, 2) and (1, 10). Substitute:

[tex]m=\dfrac{10-2}{1-(-3)}=\dfrac{8}{4}=2[/tex]

Using the point (-3, 2):

[tex]y-2=2(x-(-3))\\\\y-2=2(x+3)[/tex]

Using the point (1, 10):

[tex]y-10=2(x-1)[/tex]

The graph of the given equation is the line that passes through (0,-1) and (3/2,0) and whose slope is m = 2/3 and this can be determined by using the slope-intercept form of the line.

Given :

Equation -   [tex](y -1) = \dfrac{2}{3}(x-3)[/tex]

The following steps can be used to draw the graph of the given equation:

Step 1 - Write the given equation.

[tex](y -1) = \dfrac{2}{3}(x-3)[/tex]

Step 2 - Simplify the above equation.

[tex]y = \dfrac{2}{3}x - 2 + 1[/tex]

[tex]y = \dfrac{2}{3}x - 1[/tex]

Step 3 - Draw the graph of (y = x).

Step 4 - Find the y-intercept and the slope of the above equation.

c = -1

[tex]m = \dfrac{2}{3}[/tex]

Step 5 - So, the graph of the given equation is the line that passes through (0,-1) and (3/2,0) and whose slope is m = 2/3.

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The graph of the equation is a line that passes through the origin (0, 0) and has a slope of 2/3.

The given equation is y - 1 = ⅓(x - 3). To graph this equation, we can start by rearranging it in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

First, let's isolate y by adding 1 to both sides of the equation:

y = ⅓(x - 3) + 1

Now, simplify the expression on the right side:

y = ⅓x - 1 + 1

y = ⅓x

So, the equation y - 1 = ⅓(x - 3) represents a line with a slope of ⅓ and a y-intercept of 0. To graph this line, we can plot the y-intercept at (0, 0) and use the slope to draw the line.

The graph of this equation is a line that passes through the origin (0, 0) and has a slope of ⅓. Any point on this line can be represented as (x, ⅓x).

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Answer:

-4x^2-6x+6

Step-by-step explanation:

We are asked to subtract g from f.

So the problem is:

[8x^2-2x+3]-[12x^2+4x-3]

So I'm going to distribute and write without [].

8x^2-2x+3-12x^2-4x+3

Now I'm going to pair up any like terms:

8x^2-12x^2-2x-4x+3+3

Simplifying:

-4x^2-6x+6

Answer:  The correct option is

(C) [tex]h(x)=-4x^2-6x+6.[/tex]

Step-by-step explanation:  We are given the following two functions :

[tex]f(x)=8x^2-2x+3,~~~~~g(x)=12x^2+4x-3.[/tex]

We are to find the value of h(x) if h(x) = f(x) - g(x).

To find the value of h(x), we must subtract the expression of g(x) from the expression of f(x).

The value of h(x) can be calculated as follows :

[tex]h(x)\\\\=f(x)-g(x)\\\\=(8x^2-2x+3)-(12x^2+4x-3)\\\\=8x^2-2x+3-12x^2-4x+3\\\\=-4x^2-6x+6.[/tex]

Thus, the required value of h(x) is [tex]-4x^2-6x+6.[/tex]

Option (C) is CORRECT.

Answer: True

Step-by-step explanation: 20% can also be written as 0.2 and if you know the number then you would multiply it by 0.2, then if you needed to add 11 that is exactly how you would write that equation

Answer:

x=1.04 i bet u thats right no joke hope i helped ;)

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

The total Score is 85 + 92 + 79 + x = 4 * 87

The total Score needed is 4 * 87 = 348

So to get that score we need to add the other scores up

256 + x

which equals the total of the 4 tests.

256 + x = 348          

Subtract 256 from both sides.

256 - 256 + x = 348 - 256

x = 92 Pretty high, but doable.

Answer:

red apples

Step-by-step explanation:

cause for 1 pound, a red apple will cost 2 dollars, while for 1 pound, a green apple will cost less

Answer:

Red apples

Step-by-step explanation:

Since the cost of red apples is given by the equation y = 2x

where x = is number of pounds of red apples

Therefore clearly it can seen from the equation that the slope of this equation will be more steeper than the slope of the cost of the cost the green apples.

Now since the slope is more steep, therefore we can conclude that the red apples will cost more than the green apples for per pound of apples.

Thus, red apples will cost more per pound than green apples.

Answer:

Step-by-step explanation:

[tex]4x^2+3x=24-x\qquad\text{subtract 24 from both sides}\\\\4x^2+3x-24=-x\qquad\text{add}\ x\ \text{to both sides}\\\\4x^2+4x-24=0\qquad\text{divide both sides by 4}\\\\x^2+x-6=0\\\\x^2+3x-2x-6=0\\\\x(x+3)-2(x+3)=0\\\\(x+3)(x-2)=0\iff x+3=0\ \vee\ x-2=0\\\\x+3=0\qquad\text{subtract 3 from both sides}\\x=-3\\\\x-2=0\qquad\text{add 2 to both sides}\\x=2[/tex]

The given equation, 4·x² + 3·x = 24 - x, can be simplified and factorized

to give the solution as; -3, 2

The solution to the given equation, 4·x² + 3·x = 24 - x, is the point of

intersection of the parabola, 4·x² + 3·x, and the line, 24 - x

The solution is therefore, found as follows;

4·x² + 3·x = 24 - x

4·x² + 3·x - (24 - x) = 0

4·x² + 4·x - 24 = 0

Dividing by 4, gives;

4·(x² + x - 6) = 0

x² + x - 6 = 0 ÷ 4 = 0

Factorizing, the above quadratic equation, we have;

(x + 3) × (x - 2) = 0

The solution of the equation is therefore;

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The math trick described allows you to figure out which hand a friend is holding a penny in by having them multiply the value of the coins in their hands by specific numbers, adding the results, and determining whether the total is even or odd.

The subject at hand pertains to a mathematical trick used to determine in which writing a friend is holding a penny. To execute the scheme, follow the procedure:

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The last gas station she stopped at she got 6.6 gallons and paid $20.39

If they lower the price by 6%, that means she would pay 94% of the original amount ( 100% - 6% = 94%)

Multiply the amount she paid by 94%:

20.39 x 0.94 = 19.17

She would pay $19.17 total.

Now divide that by the number of gallons bought:

19.17 / 6.6 = $2.90 per gallon ( Rounded to the nearest cent).

Answer:

look at the picture attached

Answer:

Boxplot A

Step-by-step explanation:

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

58, 50, 48, 46, 44, 42, 40, 38, 36, 34, 32, 30, 28, 26, 24, 22, 14.

We will write in ascending order:

14 ,22 ,24 ,26 ,28,30 ,32 ,34, 36 ,38, 40, 42 ,44 ,46 ,48,50,58.

Since there are 17 terms in the above data.

So, Median would be 36.

As box plot shows the middle point of the data i.e. median.

In box plot A it shows the correct median at the middle i.e. 50% of the scores.

Hence, option 'A' is correct.

Answer:

You can not break that down any further if x does not equal anything and the equation is not equal to anything.

Step-by-step explanation:

Answer: C

Step-by-step explanation:

y2-y1/x2-x1

-9+7/5-6 = 2

Answer:

Step-by-step explanation:

1 gallon = 4 quarts

5 gallons 2 quarts 1 pint = 4 gallons 6 quarts 1 pint

(5 gallons 2 quarts 1 pint) - (1 gallon 3 quarts)

= (4 gallons 6 quarts 1 pint) - (1 gallon 3 quarts)

= 3 gallons 3 quarts 1 pint

Answer:

421

Step-by-step explanation:

Margin of error = E = 0.04

Confidence Level = 90%

z value associated with this confidence level = z = 1.645

Previous estimate of population proportion = p = 0.54

q = 1 - p = 1 - 0.54 = 0.46

The formula of Margin of Error for population proportion is:

[tex]E=z\sqrt{\frac{pq}{n}}[/tex]

Here, n is the sample size.

Re-arranging the equation for n and using the values we get:

[tex]n=(\frac{z}{E})^{2} \times pq\\\\ n = (\frac{1.645}{0.04})^{2} \times 0.54 \times 0.46\\\\ n = 421[/tex]

Thus the minimum sample size required to estimate the proportion of adults who have high speed internet access is 421

Answer:

[tex]\large\boxed{x=\dfrac{5}{4}\ \vee\ x=-\dfrac{13}{6}}[/tex]

Step-by-step explanation:

[tex]|5x+4|=|x+9|\iff5x+4=x+9\ or\ 5x+4=-(x+9)\\\\5x+4=x+9\qquad\text{subtract 4 from both sides}\\5x=x+5\qquad\text{subtract x from both sides}\\4x=5\qquad\text{divide both sides by 4}\\x=\dfrac{5}{4}\\\\5x+4=-(x+9)\\5x+4=-x-9\qquad\text{subtract 4 from both sides}\\5x=-x-13\qquad\text{add x to both sides}\\6x=-13\qquad\text{divide both sides by 6}\\x=-\dfrac{13}{6}[/tex]

Answer:

cos 60° = 1/2

Step-by-step explanation:

* Lets explain how to solve the question

- If angle Ф lies in the first quadrant then sin Ф , cos Ф and tan Ф

 are positive values

- The equivalent angle of angle Ф in the second quadrant is 180° - Ф

 and sin Ф is positive but cos Ф and tan Ф are negative

- The equivalent angle of angle Ф in the third quadrant is 180° + Ф

 and tan Ф is positive but cos Ф and sin Ф are negative

- The equivalent angle of angle Ф in the fourth quadrant is 360° - Ф

 and cos Ф is positive but sin Ф and tan Ф are negative

* Lets solve the problem

∵ sin x = √3/2

∵ 90° < x < 180°

∴ ∠ x lies in the second quadrant

∴ m∠ x = 180° - Ф

- Let sin Ф = √3/2

∴ Ф = sin^-1 (√3/2)

∴ Ф = 60°

∵ x = 180° - Ф

∴ x = 180° - 60°

∴ x = 120°

- To find cos(x/2) divide 120° by 2

∵ cos (120°/2) = cos (60°)

∴ cos 60° = 1/2

Answer:

C. supplementary angles

D. straight angle

The given angles ABD and DBC lies on a straight line. So they are straight angle.

We know that the sum of the straight angles is = 180 degrees. If the sum of two angles is 180 degrees, then they are also called supplementary angles.

It means the shown angles are also supplementary angles.

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Answer:

D and C

Step-by-step explanation:

Answer:

C .The initial amount of money placed in the savings account

Step-by-step explanation:

f(x) = 3,267(1 + 0.02)^x

This is in the form

y = a b^x

where a is the initial amount

b is the growth rate

x is the time

3267 is the initial amount

1.02 is the growth rate, so it grows by .02 or 2 percent

and x is the time

The function f(x) = 3,267(1 + 0.02)* represents the amount of money in a savings account where x represents time in years. What does the 3,267 represent?

Answer:

C .The initial amount of money placed in the savings account

Answer:

A triangle is equilateral if all three angles are same. but here two angles are 64° but third angle is 52°. so, Yin is incorrect.

Step-by-step explanation:

x = 19,

Putting value of x to find m∠ABC and m∠ACB

m∠ABC = (4x – 12)°

m∠ABC = (4(19) – 12)°

m∠ABC = (76 – 12)°

m∠ABC = 64°

m∠ACB = (2(19) + 26)°

m∠ACB = (38 + 26)°

m∠ACB = 64°

now we know sum of angles of triangle is 180°. We can find the measure of third angle.

180 = 64+64 +x

x= 180 - 64 - 64

x = 52°

A triangle is equilateral if all three angles are same. but here two angles are 64° but third angle is 52°. so, Yin is incorrect.

Sample Response: No, Yin is not correct. If

x = 19, the measure of angle ABC = 4(19) – 12 = 64. Therefore, the two base angles measure 64°. An equilateral triangle is equiangular, so each angle would have to measure 60° because there are 180° in a triangle.

What did you include in your response? Check all that apply.

Yin is not correct.

The measure of the congruent base angles is 64°.

The measures of the angles in an equilateral triangle are 60°.

Answer: 5.099

Step-by-step explanation:

technically, 5.099 is 5.10

10 is bigger than 13 so

5.13 > 5.10

Answer:

59

Step-by-step explanation:

a + b + C = -1

x + y + z = -8

We want 5a so multiply the first equation by 5

5(a + b + c) = -1*5

5a+5b+5c = -5

We want -8x so multiply the second equation by -8

-8(x + y + z) = -8*-8

-8x-8y-8x = 64

Add these equations together

5a+5b+5c = -5

-8x-8y-8x = 64

---------------------------

-8x -8y-8x+5a+5b+5c = 59

Rearrange the order

-8z -8x + 5a + 5c - 8y + 5b = 59

Answer:

59

Step-by-step explanation:

The first step here is to rewrite -8z -8x + 5a + 5c - 8y + 5b as

                                                    -8x - 8y - 8z + 5a + 5b + 5c.

This is the same as -8(x + y + z) + 5(a + b + c).

Subbing -8 for (x + y + z) and -1 for (a + b + c), we get -8(-8) - 5, or 59.

The total distance from Chicago to New Orleans is calculated by adding the distances from Chicago to Memphis and then from Memphis to New Orleans, which totals to 921.2 miles.

In order to calculate the total distance from Chicago to New Orleans, we simply need to add the given distances. The distance from Chicago to Memphis is 527.4 miles and from Memphis to New Orleans is 393.8 miles. Hence, the total distance from Chicago to New Orleans would be 527.4 miles + 393.8 miles = 921.2 miles. So, the total travel distance from Chicago to New Orleans is 921.2 miles.

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Answer: the actual answer is triangle b and triangle f

Triangle B and triangle F are not congruent with any other given triangles

So we are left with triangle B and triangle F.

The size and shapes of these triangles does not matches with any other triangles.

So  triangle B and triangle F are not congruent with any other given triangles.

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Answer:

2x(x + 3)(2x - 1)

Step-by-step explanation:

Given

4x³ + 10x² - 6x ( factor out 2x from each term )

= 2x(2x² + 5x - 3)

To factorise the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 3 = - 6 and sum = + 5

The factors are + 6 and - 1

Use these factors to split the x- term

2x² + 6x - x - 3 ( factor the first/second and third/fourth terms )

2x(x + 3) - 1(x + 3) ← factor out (x + 3) from each term

(x + 3)(2x - 1), hence

2x² + 5x - 3 = (x + 3)(2x - 1)

Hence

4x³ + 10x² - 6x = 2x(x + 3)(2x - 1)

Answer:

B

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 18 and 20 is 2

Divide both the numerator and denominator by the GCD

18 ÷ 2

-----------

20 ÷ 2

Reduced fraction:

9

----

10

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{What's }\huge\dfrac{18}{20}\huge\text{ simplified?}[/tex]

[tex]\huge\text{Both terms have the GCF}[/tex] [tex]\huge\text{(Greatest Common Factor) of 2}[/tex]

[tex]\huge\text{So, divide both numbers by 2.}[/tex]

[tex]\huge\dfrac{18\div2}{20\div2}[/tex]

[tex]\huge\text{18}\huge\div\huge\text{2 = 9}[/tex]

[tex]\huge\text{9 is the numerator (top \#)}[/tex]

[tex]\huge\text{20}\huge\div\huge\text{2 = 10}[/tex] [tex]\huge\text{10 is the denominator (bottom \#)}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: }\huge\dfrac{9}{10}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer: second option.

Step-by-step explanation:

We know that:

[tex]\sqrt[n]{a^n}=a[/tex]

[tex](a^m)(a^n)=a^{(m+n)[/tex]

Then we can simplify the radicals:

[tex]2\sqrt{8x^3}(3\sqrt{10x^4}-x\sqrt{5x^2})=(2\sqrt{2^2*2*x^2*x})(3\sqrt{10x^4}-x\sqrt{5x^2})=\\\\=2*2*x\sqrt{2x}=3x^2\sqrt{10}-x*x\sqrt{5}\\\\=4x\sqrt{2x}(3x^2\sqrt{10}-x^2\sqrt{5})[/tex]

Since:

[tex](a\sqrt[n]{x})*(b\sqrt[n]{y})=ab\sqrt[n]{xy}[/tex]

We can apply Distributive property:

[tex]4x\sqrt{2x}(3x^2\sqrt{10}-x^2\sqrt{5})\\\\12x^3\sqrt{20x}-4x^3\sqrt{10x}[/tex]

Simplifying:

[tex]12x^3*2\sqrt{5x}-4x^3\sqrt{10x}\\\\24x^3\sqrt{5x}-4x^3\sqrt{10x}[/tex]

Answer:

B

Step-by-step explanation:

edg2021

Answer:

B, 14.6 units.

Step-by-step explanation:

The answer is be because:

the diameter = radius times 2

radius= 7.3

diameter=7.3*2

              =14.6

Therefore the answer is, B

Answer: B. 14.6 units

Step-by-step explanation: The diameter of a circle is two times the length of the radius. So multiply the radius by 2.

7.3 x 2 = 14.6

The diameter of the circle is 14.6 units.