Find f(k - 1) when f(x) = 5x^2+ 4x – 5.

Answers

Answer 1

Plug in [tex]k-1[/tex] to each [tex]x[/tex] in the function.

[tex]f(k-1)=5(k-1)^2+4(k-1)-5[/tex]

[tex]f(k-1)=5(k^2-2k+1)+4k-4-5[/tex]

[tex]f(k-1)=5k^2-10k+5+4k-4-5[/tex]

[tex]f(k-1)=5k^2-6k-4[/tex]

Hope this helps.

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Answer 2

f(k-1) = 5k² - 4k - 4

The given function is:

f(x) = 5x² + 4x - 5

To find f(k-1), substitute x = k-1 into f(x)

f(k-1) = 5(k-1)² + 4(k-1) - 5

f(k-1) = 5(k² - 2k + 1) + 4k - 4 - 5

f(k -1) = 5k² - 10k + 5 + 4k -9²

Collect like terms

f(k-1) = 5k² - 10k + 5k + 5 - 9

Simplify

f(k-1) = 5k² - 4k - 4

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Related Questions

How does the parametric form help solve qx + rx = s for x ?

Answers

Answer:

[tex]x=\frac{s}{q+r}[/tex]

Step-by-step explanation:

1 Factor out the common term x

[tex]x(q+r)=s[/tex]

2 Divide both sides by q+r

[tex]x=\frac{s}{q+r}[/tex]

 death valley located in the United States is 282 feet below sea level is the level of Galilee located in Israel is 682 feet below sea level how much further between the lowest point in death Valley is the lowest point in the Sea of Galilee

Answers

Answer:

400 feet.

Explanation:

We need to find the difference between the lowest point of Galilee and the lowest point of Death Valley. We can find this by subtracting the lowest point of Galilee by the lowest point of Death Valley. It says the lowest point of Galilee is 682 feet below sea level and the lowest point of Death Valley is 282 feet below sea level. Therefore, we subtract 682 - 282, which equals 400.

What value of x makes this proportion true?
25/20=X/4
O A. 5
O B. 20
O C. 9
O D. 6

Answers

The answer is 5:) you first have to cross multiply then divide both sides from x

find the zeros of the function: g(x)=(x -2)(3x +3)

Answers

Answer:

x = 2 and x = -1

Step-by-step explanation:

The zeroes of the function are found by setting g(x) equal to 0:

g(x) = (x - 2)(3x + 3) = 0

By the Zero Product Property, in order for this equation to be equal to 0, each of (x - 2) or (3x + 3) or both has to equal 0. So, set each equal:

x - 2 = 0

x = 2

3x + 3 = 0

3x = -3

x = -3/3 = -1

The zeroes are thus x = 2 and x = -1.

~ an aesthetics lover

Answer:

x=2 x=(-1)

Step-by-step:

Solve: (x-2)(3x+3)=0

= x-2=0                   3x+3=0

=x-2(+2)=0(+2)       =3x-3(-3)=0(-3)

=x=2                      =3x=(-3)

                              =3x/3=(-3)/3

                              =x=(-1)

Atoms are made up of electrons, protons and neutrons. Protons have a positive charge, electrons have a negative charge, and neutrons have no charge. The oxygen atom has 8 electrons and 8 neutrons. How many protons must it have to have 0 charge?​

Answers

Answer:

Protons and neutrons each count for one AMU, and the electron counts for zero AMU. So, if the atomic mass of oxygen is 16, that means we have a total of 16 protons and neutrons. 16 total protons and neutrons minus 8 protons leaves us with 8 neutrons.


Can you help me please!

Answers

Answer:

see the picture attached

Solve the equation.
S + (-20) = -19

Answers

Answer:

S = 1

Step-by-step explanation:

If you add a positive 1 to -20, you would get -19

Answer:

S=1

Step-by-step explanation:

Add 20 to both sides:

S+(-20)=-19

+20 +20

S=1

If one set of ping pong balls coast 8$ how much does 320 ping pong balls coast?

Answers

You don't give how many ping balls are in the "set" but if you know you can solve by:

Divide the total cost by number of balls in the set.Multiply the unit cost by 320.

Best of Luck!

Is 1.875 an rational or irrational number

Answers

rational ! hope this helps :)

Answer:

it is rational

Step-by-step explanation:

because our is a finite decimal which can be converted into a fraction

Hi I need help,how do you write 5,806 in scientific notation?

Answers

Answer:

  5.806 × 10³

Step-by-step explanation:

Put a decimal point to the right of the left-most digit: 5.806. Now multiply by the place value of that digit.

  5.806 × 10³

___

The 5 is in the "thousands" place. Of course a "thousand" is 1000 = 10·10·10 = 10³. The place value multiplier (1000 or 10³) is written using the exponent when we write scientific notation.

Help me out please asymptotes

Answers

Answer:

d, b , a

Step-by-step explanation:

Diagram on left

As x → + ∞, y → + ∞, as x → - ∞ , y → - ∞ ( as explained in previous question ) d

Top diagram on right

As x → + ∞, y → 0 and x → - ∞ , y → 0

This means that as x increases to the right , y approaches the x- axis (y → 0)

and as x increases to the left, y approaches the x- axis (y → 0 ) b

Lower diagram on right

As x → + ∞, y → + ∞ and as x → - ∞, y approaches the x- axis (y → 0 ) a

HELP PLEASE which of the following expression represents the width of the door ?
A) (3x+6)-x-x
B)(h4x-1)-x-x
C)(3x+6)+(4x-1)+(4x-1)+x+
D)(4x-1)-(3x+6)

Answers

Answer:

A) (3x+6)-x-x

Step-by-step explanation:

Width of the door = (3x + 6) - x - x

PLEASE HELP integers and absolute value 8th grade 1.the opposite of -4 a.4 b.-4 c.-(-(-10)) d. -|10| 2.the opposite of -10 is ? a. -(-(-10)) b. -10 c.10 d.-|10| 3. which symbol is used to make -5? -8 a true statement a. > b. b. > c.=

Answers

Answer:

The distance of it.

Step-by-step explanation:

1. answer is A.4

2. answer is C.10

3. answer is A.>

Determine whether the statement is true or false.

Answers

Answer:

False

Step-by-step explanation:

1/3^4=3^4

0.012346≠81

False

Answer:

True

Step-by-step explanation:

The negative power property of exponents says that:

[tex]x^{-n}=\frac{1}{x^n}[/tex]

And vice versa:

[tex]\frac{1}{x^{-n}}=x^n[/tex]

Therefore, since our exponent is negative, we can change it to positive if we put it in the numerator. In other words:

[tex]\frac{1}{3^{-4}}=3^4[/tex]

The statement is true.

Latrell runs 5 miles during each track practice. How many track practices would it take for Latrell to run 25 miles?

Answers

Step-by-step explanation:

400 meters is standard lap distance for a race track. 2 x 50 meters is lap distance in International pools. A lap of 440 yards is 1/4 mile. So 4 laps/mile.

Answer:

It would take her 5 track practices to run 25 miles because she runs 5 miles each practice. We can divide 25 by 5 which gives us 5. So it would take  5 track practices for Latrell to run 25 miles. Hope this helps.

Step-by-step explanation:

If t is the midpoint of su, find x, st= 8x+11, tu= 12x-1

Answers

Answer:

Step-by-step explanation:

8x + 11 = 12x -1

-4x + 11 = -1

-4x = -12

x = 3

Is √ 256 rational or irrational

Answers

256 is a rational number because it can be expressed as the quotient of two integers : 256÷1

high order thinking write missing nunber
6+ =14-5

second grade homework ​

Answers

Answer:

3

Step-by-step explanation:

14-5 = 9

6+3 = 9

Hope this helps!

In 1771, misfortune struck Euler again, when a cataract in his left eye robbed him of his sight entirely. Incredibly, this did not seem to slow him at all. In fact, during his remaining thirteen years, his publishing output accelerated. Of the 886 books and articles he produced in his lifetime – on topics including mathematics, philosophy, mechanics, electricity, astronomy, optics, and music – half of them were completed after total blindness! Use the drop-down menus to complete the statements about Euler's life after he lost his sight. After the cataract took Euler's sight, he . About how many books and articles did Euler complete after he lost his sight entirely?

Answers

Answer:

Wrote more books and articles, 450 books!

Step-by-step explanation:

Answer:

Wrote more books and articles, 450 books!

Step-by-step explanation:

just did it

Find inverse of y=1/2x+8

Answers

F^1(x)=2x-16 To find the interverse interchange the variable and solve for y

The inverse of a given function y = 1/2x + 8 will be equal to f'(x) = 1/2( x - 8).

What is the inverse of a function?

The inverse function of a function that undergoes the operation of f. which is denoted by [tex]f^{-1} (x)[/tex].

The given expression is given as

y=1/2x+8

The inverse of the given expression

[tex]f^{-1} (x) = 1 /2(x - 8)[/tex]

Learn more about inverse;

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Find the slope of the line on the graph

Answers

Answer:

m = 1/2

Step-by-step explanation:

Use two points on the line given.

(0 , 2) & (-4 , 0)

You are solving for the slope. The slope formula:

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (-4 , 0)

(x₂ , y₂) = (0 , 2)

Plug in the corresponding numbers to the corresponding variables:

m = (2 - 0)/(0 - (-4))

Simplify:

m = (2)/( 0 - (-4))

m = (2)/(0 + 4)

m = 2/4

Simplify the slope. Divide the common factor 2 from both the numerator and denominator:

m = (2/4)/(2/2) = 1/2

1/2 is your slope.

~

Answer:

0.5

Step-by-step explanation:

the rise is 4 and the run is 8 so it would be 4/8 or 1/2 which would equal 0.5

slove for x 3(x+1)=-2(x-1)-4

Answers

Step-by-step explanation:

3(x+1)=-2(x-1)-4

3x+3=-2x+2-4

by combining like terms on one side and unlike term by other side

3x+2x=2-4-3

5x= -5

x= -5/5

x=-1

Which equation would give the graph below? (photo)

Answers

Answer:

C

Step-by-step explanation:

Y= 4^2 - 5 x 4 + 4 = 0

Multiply (3)(−4)(2).

Answers

Answer:

24

Step-by-step explanation:

3x-4=-12x2=24

Answer:

Your correct answer is -24

Step-by-step explanation:

(3)(−4)(2)

= (−12)(2)

= −24

3/7+-5/11+-5/14+3/11​

Answers

Answer:

Hey!

Your answer is [tex]1\frac{5}{8}[/tex]!

Step-by-step explanation:

Also can be written as 41/8!

HOPE THIS HELPED!

So it’s going to be “-17/154”

Could anyone help me with this? Thanks in advance x

Answers

Answer:

find b: since the triangle is right angle triangle apply the Pythagorean theorem

c²+b²=d²

b²=d²-c²

b²=16²-12²

b²=256-144

b²=112

b=√112 = 4√7

the sum of the angle of the triangle=180

( in top Δ abd ) sin Ф=opp/hyp

sinФ=b/d=4√7/16= √7/4  radian

convert to degrees : √7/4 *180/π= 37.91 almost 38 degrees

which makes A= 38 degrees ( adjacent angles are equal when they have common side and do not overlap)

find a=?? apply law of cosine

a²= d^2 + c^2 − 2dc cosA

a²=16² + 12²-2(16)(12)cos38

a =√(16² + 12²-2(16)(12)cos38)

a=9.87 rounded to the nearest hundredth

(i hope it is right )

three less than four times a number is the same as the number +12 what is the equation?

Answers

Answer:

I think it would be 4×n-3 = n+12

Answer:

3<4x=x+12

Step-by-step explanation:

Let the number be x

Let the number be x4×X=4x

Let the number be x4×X=4x3<4x=x+12

what is the product (3a2 b4) (- 8b3)

Answers

Answer:

-24 a^2 b^7

Step-by-step explanation:

Simplify the following:

-8×3 a^2 b^4 b^3

Hint: | Combine products of like terms.

3 a^2 b^4 (-8) b^3 = 3 a^2 b^(4 + 3) (-8):

-8×3 a^2 b^(4 + 3)

Hint: | Evaluate 4 + 3.

4 + 3 = 7:

-8×3 a^2 b^7

Hint: | Multiply 3 and -8 together.

3 (-8) = -24:

Answer: -24 a^2 b^7

Answer:

The correct answer is:

D) -24a³b^7

Step-by-step explanation:

I got it correct on EDGE 2020

how to graph the function f(x)=-2/3x+490

Answers

start on the y-axis and put a point at 490 bc it the y-intercept and then from there go up 2 and right 3 and put a point there and keep going and to go down you just go down 2 and left 3 and the point it.

Find the product of 3 1/8 and 1 2/7 .

Answers

4

1
56
Explanation:
multiply 3 by 8 and add to 1 =
25
8

multiply 1 by 7 and add to 2 =
9
7

So
25
8

9
7

=
225
56

=
4

1
56

Answer:

4,1/56

Step-by-step explanation:

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