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3 years ago

Given the function f(x) = 5x - 3(3x+7), Determine the value of x when f(x) =-18.

Mathematics

2 answers:

MAXImum [283]3 years ago

7 0

Answer:

-93

Step-by-step explanation:

olga2289 [7]3 years ago

6 0

Step-by-step explanation:

Simplifying

f(x) = 5x + -3(3x + 7)

Multiply f * x

fx = 5x + -3(3x + 7)

Reorder the terms:

fx = 5x + -3(7 + 3x)

fx = 5x + (7 * -3 + 3x * -3)

fx = 5x + (-21 + -9x)

Reorder the terms:

fx = -21 + 5x + -9x

Combine like terms: 5x + -9x = -4x

fx = -21 + -4x

Solving

fx = -21 + -4x

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'x'.

f = -21x-1 + -4

Simplifying

f = -21x-1 + -4

Reorder the terms:

f = -4 + -21x-1

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Please help and thank you

qwelly [4]

when you multiply exponents, they add together and the base will remain the same:

-5+-2

=-7

therefore the answer is 8^-7

to get rid of the negative, flip the fraction so it becomes

1/8^7

7 0

3 years ago

A sequence has an initial value (I) of -17 and its fourth term (a4) is 35. What is its general equation? Its 14th term?

aleksley [76]

Answer:

The sequence is an Arthemtic Progression

An=A1+(n-1)d

A1 is first term, An is nth term, n is number of term, and d is common difference

therefore

A4=35, A1= -17

A4=A1+(4-1)d

35= -17+3d

35+17=3d

52=3d

52/3=3d/3

14=d

common diffrence(d)=14

The general solution is given by

An= -17+(n-1)14

An= -17+14n-14

An= -31+14n

An= 14n-31

A14 term, means n=14

From An=A1+(n-1)d

A14= -17+(14-1)14

= -17+(13×14)

= -17+182

= 165.

Therfore, the 14th term is 165.

2. A sequence has a CR of 4/5 and its eighth term (a8) is (393216/3125). What is its general equation? Its 3rd term?

solution

common ratio(r)=4/5

eighth term(G8)=393216/3125

From Gn= G1r^(n-1)

G8 means n=8

G8=G1r^(n-1)

393216/3125=G1(4/5)^(8-1)

393216/3125=G1(4/5)^7

G1=(393216/3125)/(4/5)^7

G1=600

The first term is given by G1=600

Therefore

The General equation is given by

The General equation is given by Gn= 600(4/5)^(n-1)

3rd term (G3)

G3= G1(4/5)^(3-1) where n=3,

=600(4/5)^2

=600(16/25)

=384

Therefore, the 3rd term is given by G3= 384.

I have made some Corrections i messed up somewhere.

7 0

3 years ago

Identify the percent of change as an increase or a decrease. 9 points to 4 points

padilas [110]

Answer:

55.55% decrease

Step-by-step explanation:

$change\% = \frac{final \: point \: - initial \: point}{initial \: point \: value} \times 100$

In the question ,

Initial point value = 9

Final point value = 4

Change% = $\frac{4 - 9}{9} \times 100 = \frac{ - 5}{9} \times 100 = - 55.55\%$

8 0

3 years ago

Evaluate 4x^2 y^-3 for x=3 and y=-2

Doss [256]

Answer:

36 and -1/8

Step-by-step explanation:

x^2 = 3^2 = 9 * 4 = 36

y^-3 = (-2)^-3 = -1/8

6 0

3 years ago

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(Can someone help I'm taking a math quiz.) Seventy parents showed up for a parent meeting at school. Mrs. Quinn set up 12 tables

il63 [147K]

Answer:

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4 0

3 years ago

Read 2 more answers