Find the first four terms of the sequence using the recursive formula. ​

Answer:

[tex]x=2i-2,\:x=-2i-2[/tex]

Step-by-step explanation:

[tex]x^2 + 4x = -8\\\\\mathrm{Solve\:by\:completing\:the\:square}\\\\\mathrm{Write\:equation\:in\:the\:form:\:\:}x^2+2ax+a^2=\left(x+a\right)^2\\\\\mathrm{Solve\:for\:}a,\:2ax=4x:\quad a=2\\\\\mathrm{Add\:}a^2=2^2\mathrm{\:to\:both\:sides}\\\\x^2+4x+2^2=-8+2^2\\\\\mathrm{Simplify\:}-8+2^2:\quad -4\\x^2+4x+2^2=-4\\\\\mathrm{Complete\:the\:square}\\\left(x+2\right)^2=-4\\\\\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}\\[/tex]

[tex]\mathrm{Solve\:}\:x+2=\sqrt{-4}:\quad x=2i-2\\\\\mathrm{Solve\:}\:x+2=-\sqrt{-4}:\quad x=-2i-2\\\\x=2i-2,\:x=-2i-2\\[/tex]

Answer:

164

Step-by-step explanation:

7x + 24 = 6x - 20 + 64

7x - 6x = 64 - 20-24

x = 64 - 44

x = 20

KM = 7x + 24 = 7*20 + 24 = 140 + 24

KM = 164

Answer: 4x³+29x²+40x-48

Step-by-step explanation:

To solve f(x)·g(x), you multiply them together.

(4x²+13x-12)(x+4)                           [distribute by FOIL]

4x³+16x²+13x²+52x-12x-48          [combine like terms]

4x³+29x²+40x-48

Now, we know that f(x)·g(x)=4x³+29x²+40x-48.

Answer: 4x³+29x²+40x-48

Step-by-step explanation:

The product of two functions=f(x)·g(x)=fg(x)

Use FOIL method to simplify expression.

 f(x)·g(x)

=(4x²+13x-12)·(x+4)

=4x³+16x²+13x²+52x-12x-48

=4x³+29x²+40x-48

Answer:

3.31

Step-by-step explanation:

sqr 10 = 3.16

3/20 = .15

3.16+ .15

3.31

Answer:

C

Step-by-step explanation:

[tex]15x^{\frac{1}{3} }y^{\frac{1}{5} }\\\\=15x^{\frac{5*1}{5*3} }y^{\frac{3*1}{3*5} }\\\\=15x^{\frac{5}{15} }y^{\frac{3}{15} }\\\\=15\sqrt[15]{x^{5}y^{3} } \\\\[/tex]

The expression 15x^(1/3) y^(1/5) can be written as 15 * ∛x * ∜y

To express 15x^(1/3) y^(1/5) using a radical, we will start by writing each term with a common base.

Now express x^(1/3) as a radical. We know x^(1/3) is the cube root of x, this is rewritten as ∛x.

Now, we express y^(1/5) as a radical. We know that y^(1/5) is the fifth root of y, so we is rewritten it as ∜y.

Putting it all together, we have:

15x^(1/3) y^(1/5) = 15 * ∛x * ∜y.

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[tex]f(0) = 2 \cdot 0 - 3 = 0 - 3 = -3\\f(-2) = 2 \cdot (-2) - 3 = -4 - 3 = -7\\f(5) = 2 \cdot 5 - 3 = 10 - 3 = 7[/tex]

Answer:

6x² + 4

Step-by-step explanation:

The 4 sides of a square are equal in measure.

Divide the perimeter by 4 for length of side, that is

side = [tex]\frac{24x^2+16}{4}[/tex] = [tex]\frac{24x^2}{4}[/tex] + [tex]\frac{16}{4}[/tex] = 6x² + 4

Answer:

Step-by-step explanation:

Adding the same number to both sides of equation doesn't change the equality.

¹/₉ + t    =   7

+(-¹/₉)        +(-¹/₉)

   t = 7 + (-¹/₉) = 7 - ¹/₉ = 6⁸/₉

addition property of equality

Answer:

9/14

Step-by-step explanation:

3/7÷2/3=?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

3/7×3/2=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

3×3

7×2= 914

This fraction cannot be reduced.

Therefore:

3/7÷2/3=9/14

Answer:

9/14

Step-by-step explanation:

3/7 ÷ 2/3= 9/14

To divide a fraction, you have to flip the second fraction and multiply.

3/7 × 3/2 = 9/14

9/14 is in simplest form.

Explanation:

The tickmarks indicate which segments are the same length. On the left side, the single tickmark segments are the same length, and the same can be said about the double tickmarks segments as well. Because of this, the segment x cuts the diagonal sides in half.

The segment x is known as a midsegment of the triangle. It is half as long as the parallel side of 24 units. So x = (1/2)*24 = 12.

Answer: a

Step-by-step explanation:

Answer:

98°

Step-by-step explanation:

105-7=98

Answer:

180000 Meters per hour

Step-by-step explanation:

3 kilometers × 60 minutes (1 hour) = 180 kilometers per hour and then convert kilometers to meters

Answer:

The car's speed is 180,000 meters per hour.

Step-by-step explanation:

(3 km)/min×(1000 m)/(1 km)×(60 min)/(1 hr)=180,000 m/hr

Answer:

Step-by-step explanation:

22 - 55 + 4x = 2x + 7

4x - 33 = 2x + 7

2x - 33 = 7

2x = 40

x= 20

22 - 55 + 4(20) = 2(20) + 7

80 - 33   = 40 + 7

  47 = 47

answer is B

Answer:

The answer is B

Step-by-step explanation:

Answer:

  (b)  90

Step-by-step explanation:

Four bricks are needed for each meter of length:

  4 × 22.5 = 90

90 bricks are needed.

Answer:

4750

Step-by-step explanation:

950x

950× 5

4750

varying directly with number of days

Answer:

The slope is 0

Line is y= -4

Step-by-step explanation:

Answer:

65 feet = L

Step-by-step explanation:

set up equation

P = 2L + 2W

plug in W

214 = 2L + 2(42)

multiply

214 = 2L + 84

subtract 84

130 = 2L

divide by 2

65 = L

Answer:

It would be 2.62

Step-by-step explanation:

Answer:

It is C

Step-by-step explanation:

Got it right in edg

Answer:

A piece of charcoal was unearthed at an archeological site and found to contain 10% of its original carbon-14. The half-life of carbon-14 is 5,730 years. This means that after 5,730 years, only half of the original amount of carbon-14 will remain.  Which equation can be solved to determine the age of the charcoal?

C on edg

Step-by-step explanation:

Answer:

- 334

Step-by-step explanation:

There is a common difference between consecutive terms in the given sequence, that is

d = 2 - 9 = - 5 - 2 = - 7

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 9 and d = - 7 , thus

[tex]a_{50}[/tex] = 9 + (49 × - 7) = 9 - 343 = - 334

Answer: You should try copying and pasting the question onto google. Someone may have answered the question or something similar on another website.

Answer:

90°

Step-by-step explanation:

AB and  CD are parallel lines and EF is reversal

Therefore angles BGH and DHG are consecutive interior angles

As we know the sum of consecutive interior angles equals to 180°:

Line GP bisects angle BGH , therefore

Line HP bisects angle GHD, therefore

Sum of two angles of triangle GHP:

Therefore the missing angle a is:

[tex] \huge \purple {\tt {x + \frac{7}{6} = 2x - \frac{7}{6}}} [/tex]

[tex] \large {\tt {The \: answer \: in \: reduced}} [/tex]

[tex] \large {\tt { improper \: fraction \: form.}} [/tex]

[tex] \huge \pink {\tt {x + \frac{7}{6} = 2x - \frac{7}{6}}} [/tex]

[tex] \huge \blue {\tt {or, \: x - 2x = - \frac{7}{6} - \frac{7}{6}}} [/tex]

[tex] \huge \red {\tt {or, \: - x = \frac{ - 14}{6} = \frac{ - 7}{3}}} [/tex]

[tex] \huge \green {\tt {or, \: x = \frac{7}{3}}} [/tex]

[tex] \huge \orange {\tt {x = \frac{7}{3}}} [/tex]

Answer:

p > -0.2222

Step-by-step explanation:

7p + 3(-6p + 2) > 7p + 9 +1

7p + (3*-6p + 3*2) > 7p + 10

7p - 18p + 6 > 7p + 10

-11p - 7p > 10 - 6

-18p > 4

p > 4/-18

p > -0.2222

Answer:

4. it would take greater than 31.25 hrs for tims price to be better.

Step-by-step explanation:

Answer:

Step-by-step explanation:

-40 - 5 = -45

answer is D

Answer: b

Step-by-step explanation: