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Correct question is;

Let f(k) = 7k^(6) + 6k - 10 and g(k) = -3k^(6) - 7k + 1. Find the difference (f - g)(k).

Answer:

(f - g)(k) = 10k^(6) + 13k - 9

Step-by-step explanation:

We are given;

f(k) = 7k^(6) + 6k - 10

g(k) = -3k^(6) - 7k + 1

Thus;

(f - g)(k) = 7k^(6) + 6k - 10 - ( -3k^(6) - 7k + 1)

(f - g)(k) = 7k^(6) + 6k - 10 + 3k^(6) + 7k - 1)

(f - g)(k) = 10k^(6) + 13k - 9

Answer:

(-2, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

3x + 4y = 14

x = 2y - 12

Step 2: Solve for y

Substitution

Step 3: Solve for x

Answer:

x=1800

Step-by-step explanation:

The value of x for the given equation is 1800.

The reciprocal of any quantity is, one divided by that quantity. For any number ‘a’, the reciprocal will be 1/a. If the given number is multiplied by its reciprocal, we get the value 1.

Given that, 3/540= 10/x.

Now, 1/180 = 10/x

⇒ 180/1 =x/10

⇒ x=180×10

⇒ x=1800

Therefore, the value of x for the given equation is 1800.

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Answer:

(2,-7)

Step-by-step explanation:

The equation of a parabola is y=a(x-h)^2 + k

the vertex in this equation is (h,k)

Since the equation that is given is y=(x-2)^2-7

we can conclude that the vertex will be (2,-7)

Answer:

Assuming both people are pulling in the same direction, the net force on the car is, according to Newton's second law,

600 N + 800 N - 1200 N = (2250 kg) a

Solve for the acceleration a :

200 N = (2250 kg) a

a = (200 N) / (2250 kg)

a ≈ 0.0889 m/s/s

Step-by-step explanation: I hope this helps!

Answer:

0.995 P(at least 2) = 1 – P(X = 0) – P(X=1)

1 – 15C0 * 0.40 *0.615- 15C1*0.41*0.614

1 – 0.0000 – 0.005

= 0.995

Step-by-step explanation:

By using the Pythagorean theorem, we conclude that the length of the segment is 3.2 units.

We want to find the length of the graphed segment. In the grid, we can see that the horizontal displacement between the two ends measures one unit, and the vertical displacement measures 3 units.

So the length can be tought as the hypotenuse of a right triangle whose legs measure one unit and 3 units.

By using the Pythagorean theorem, we can find that lenght L by.

L^2 = 1^2 + 3^2

Now, if we apply the square root in both sides we will get:

L = √(1^2 + 3^2) = √(1 + 9) = √10 = 3.2

We conclude that the length of the segment is 3.2 units.

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No. A multiple of ten and a multiple of ten will always have at least 2 zeros.

Answer:

4x-4

Step-by-step explanation:

6x- 2x=4x

-5+1=-4

4x-4

Answer:

Perpendicular

Step-by-step explanation:

These lines don't run with each other, and instead, cross paths.

Answer:

$3530.3541

Step-by-step explanation:

Given that:

Principal = 2200

Interest rate compounded annually (r) = 3%

Time (t) = 16 years

Using the compound interest formula :

A = P(1 + r/n)^n*t

A = final amount

n = number of times interest is applied per period

A = 2200(1 + 0.03)^16

A = 2200(1.03)^16

A = 2200 * 1.60470643909878751793

A = $3530.3541

Hence, amount in account on his 16th birthday will be $3530. 3541

Answer:

what does cos theta mean

Step-by-step explanation:

i need to know

The Manual on Uniform Traffic Control Devices governs traffic signs (MUTCD ) A rectangular traffic sign has a 100-inch perimeter. ​ Additionally, its width is 10 inches wider than its length. Identify this sign's measurements.

The dimensions of this sign, the width of the sign is 20 inches and the length of the sign is 30 inches.

Given, The perimeter of a rectangular traffic sign is 100 inches.

rectangular perimeter= 2(l+b)=100

Also, its width is 10 inches wider than its length.

l=10+b

Take 2(l+b)=100

l+b=50

Substitute l=10+b in the above equatuion.

10+b+b=50

10+2b=50

2b=50-10

2b=40

b=20

Substitute b=20 in l=10+b

l=10+20

l=30

Therefore, The width of the sign is 20 inches and the length of the sign is 30 inches.

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Answer:

A 18

Step-by-step explanation:

f(x) = 4x + 10

f(2) = 4(2) + 10

f(2) = 8 + 10

f(2) = 18

18 money will he make for 2 hours of babysitting work

A relation is a function if it has only One y-value for each x-value.

Given,

function f(x) = 4x + 10

The function models the amount of money Francis makes when babysitting for x hours.

We need to find the money he make for 2 hours of babysitting work.

To find this we just need to plug in x value as 2 in function

f(2)=4(2)+10

=8+10

18

Hence, 18 money will he make for 2 hours of babysitting work

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Answer:

slope = 1/4

Step-by-step explanation:

The slope of a line is defined by the rise (change in y-value)/run (change in x-value.  The change in y-value is 0 - (-2) = 0 + 2 = 2.  The change in x-value is -2 - (-10) = -2 + 10 = 8.  Therefore, the slope is 2/8 or (simplified) 1/4.

Step-by-step explanation:

-4.25, -4, 3.95, -13/3, -14/3

Answer:

[tex]3^{a}[/tex] = 11

Step-by-step explanation:

using the rule of logarithms

[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex] , so

[tex]log_{3}[/tex] 11 = a ⇒ 11 = [tex]3^{a}[/tex]

Answer:

Step-by-step explanation:

Y intercept = (0,3)

X intercept = (-6,0)

(the equation graphed)

Answer:

x_n = x_(n-1) - 3

Step-by-step explanation:

x_n = x_(n-1) - 3

Take the previous number and subtract 3

Answer:

Just keep on adding 3

Step-by-step explanation:

10 + 3 = 13 + 3 = 16 +3 =19 + 3 = 22

Answer:

Moby weighs 1250Kgs

Step-by-step explanation:

Tim is 4% of Moby so

T =4%m

if T is for Tim and Tim weighs 50kgs then

50=4%m

100/4=25

25*50=1250

M = 1250Kgs

Answer:

I have this copied to my clipboard for me to past in comments!

Step-by-step explanation:

And it is CHRISTMAS do not X out Christ.

Mwah

Answer:

is this the All I want for christmas is you by mariah carey( I love the song )

Answer:

9

Step-by-step explanation:

3/4 of 12 is 9

Answer: that's 6 tablets per day!

Hope this helps!

Answer:

-[x-8]= -2

-x+8=-2

-x= -2-8

-x÷ -1=-10÷ -1

x=10√

Answer:

200 - 6 - (-3) = 197 200 - (-2) = 202

Answer:200.9

Step-by-step explanation:

im right

Answer:

2

Step-by-step explanation: