What is (f - g)(x)? f(x) = 3x g(x) = -3x² + 3x Write your answer as a polynomial or a rational function in simplest form.​

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

[tex]\huge\boxed{\mathsf{3k = 126}}[/tex]

[tex]\huge\boxed{\textsf{\bf DIVIDE 3 to BOTH SIDES}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{3k}{3}= \dfrac{126}{3}}}}[/tex]

[tex]\huge\boxed{\mathsf{\bf CANCEL\ out: \dfrac{3}{3}\ because\ it\ gives \ you\ 1}}}[/tex][tex]\huge\boxed{\bf KEEP: \dfrac{}{}\ because\ it\ answers\ for\ the\ }\\\huge\boxed{\bf k-value}[/tex]

[tex]\huge\boxed{\mathsf{k = \dfrac{126}{3}}}\\\huge\boxed{\mathsf{\dfrac{126}{3} = k}}[/tex]

[tex]\huge\boxed{\textsf{\bf SIMPLIFY ABOVE}}[/tex]

[tex]\huge\boxed{\mathsf{Therefore, your \ answer \ is: k = 42}}}\huge\checkmark[/tex]

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

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

17 I think it's 17 considering the 45 went to 35

Answer:

Step-by-step explanation:

Answer:

5(6^2)

BRAINLIEST, PLEASE!

Step-by-step explanation:

12 x 15 = 180

180/5 = 36

=5(6^2)

This value is approximate.

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Explanation:

The cable is connected by these key points

Let's use the distance formula to find the length of segment AB.

[tex]A = (x_1,y_1) = (0,3)\\\\B = (x_2,y_2) = (6,5)\\\\d = \text{Distance from A to B} = \text{length of segment AB}\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-6)^2 + (3-5)^2}\\\\d = \sqrt{(-6)^2 + (-2)^2}\\\\d = \sqrt{36 + 4}\\\\d = \sqrt{40}\\\\d \approx 6.325\\\\[/tex]

Segment AB is roughly 6.325 units long. You could use the pythagorean theorem as an alternative route instead of the distance formula.

If you repeated this process for the other segment lengths, then you should get these other approximate lengths.

Add up those three results:

AB+BC+CD = 6.325+6.083+6.325 = 18.733

The entire cable is roughly 18.733 units long.

Since 1 unit = 10 feet, we'll multiply that result by 10.

18.733*10 = 187.33 feet

This rounds to 187 feet which is the approximate length of the cable.

The length of the cable will be 187.2 feet long.

Let one point be (x, y) and another point be (h, k). Then the distance between the points will be

D² = (x - h)² + (y - k)²

From the diagram, the length between (0, 3) and (6, 5), (6, 5) and (12, 4), and (12, 4) and (18, 2) will be the length of the cable (L).

[tex]\rm L = \sqrt{(6 - 0)^2 + (5-3)^2} + \sqrt{(12 - 6)^2 + (4 - 5)^2} + \sqrt{(18 - 12)^2 + (2 - 4)^2}\\[/tex]

Simplify the equation, then we have

L = √40 + √37 + √40

L = 6.32 + 6.08 + 6.32

L = 18.72 units

L = 18.72 x 10

L = 187.2 ft

The length of the cable will be 187.2 feet long.

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Answer:

a^5÷a^3=a^5×a^-3=a^5+-3=a^2

Answer:

[tex]a) \: \: {a}^{2} [/tex]

[tex]b) \: \: c[/tex]

Step-by-step explanation:

[tex]a) \: \: {a}^{5} \div {a}^{3} \\ = (a \times a \times a \times a \times a)(a \times a \times a) \\ = a \times a \\ = {a}^{2} [/tex]

[tex]b) \: \: \frac{ {c}^{4} }{ {c}^{3} } \\ \frac{(c \times c \times c \times c)}{(c \times c \times c)} \\ = c[/tex]

Answer:

9 ufh fcnbscbhbvxdfhbbhukkkocd

Answer:

Step-by-step explanation:

So we know that it cost $600 in material to build the couch,

and then we know it cost $2000 extra to install and setup the couch,

so it cost 2,600 to build and install one couch,

So the first answer is 2,600

Now to build and install 15 of them we do 2,600 x 15 = $39,000

So it cost 2,600 to make and install one

And 39,000 to make and install 15.

But it only cost $600 to build one

and $9,000 to make 15 without installation fees.

Answer:

(6,-3)

Step-by-step explanation:

Using midpoint formula, we have

x=(4+8)/2=12/2=6

y=(-10+4)/2=-6/2=-3

Answer:

5,400

Step-by-step explanation:

do the exponent which is 10x10=100 then add it to 5,300

Answer:

[tex]y=-\frac{1}{2}x-8[/tex]

Step-by-step explanation:

[tex](-4,-6)(-2,-7)[/tex]

Step 1. Find the slope (by using the slope-formula)

m = slope

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

[tex]m=\frac{-7--6}{-2--4}[/tex]

[tex]m=\frac{-1}{2}[/tex]

[tex]m=-\frac{1}{2}[/tex]

Step 2. Create the equation of a line that has a slope of [tex]-\frac{1}{2}[/tex]

[tex]y=-\frac{1}{2} x+b[/tex]

Step 3. Find the y-intercept

To do this, use any of the two points and substitute their x and y values

[tex]y=-\frac{1}{2}x+b[/tex]

point: [tex](-2,-7)[/tex]

[tex](-7)=-\frac{1}{2}(-2)+b[/tex]

[tex](-7)=1+b[/tex]

[tex]b=-7-1[/tex]

[tex]b=-8[/tex]

Step 4. Write the equation in Slope-intercept form

[tex]y=mx+b[/tex]

[tex]y=-\frac{1}{2} x-8[/tex]

Answer:

you forgot to add the statements

Answer:

The first of the 3 numbers is 11.

Step-by-step explanation:

Well all three would be 11,12,13 because 11+12+13=36. First number is 11

Answer:

1/2

Step-by-step explanation:

here ,

sin = p/h

or, sin (30⁰) = 5 /10

so sin (30⁰) = 1/2

The value of  sin(30°) given triangle QRS is; 1/2

In trigonometric ratios, we know that;

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

From the given triangle, we see that;

Opposite side to the angle 30° is 5 while hypotenuse is 10.

Thus;

sin 30° = 5/10

sin 30° = 1/2

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Answer:

x=(3/2,0)

y=   ( 0 , − 1 )

Step-by-step explanation:

Answer:

your answer is -2

I hope it's helps you

Answer:

[tex]8w - 2 = 12w + 6 \\ 8w - 12w = 6 + 2 \\ - 4w = 8 \\ w = \frac{8}{ - 4} \\ w = - 2[/tex]

I hope it helped U

stay safe stay happy

Answer:

Step-by-step explanation:

7y-3y= 4y

4y=8

Here when its like this we need y by itself, so you take out 4 by dividing 8 by 4.

y= 2

Step-by-step explanation:

(-13.2)+8.1

-13.2+8.2

Since, there are two signs i.e, '+' and '-' and the value of '-' is more

Therefore,

-5

I hope it helped U

I hope it helped Ustay safe stay happy

Answer:

2 2/9

Step-by-step explanation:

5/6 ➗3/8

We can use the reciprocal.

So, 5/6 * 8/3 = 40/18.

40/18 can be simplified to 20/9 or 2 2/9

Answer:

-2 + 4f

Step-by-step explanation:

6 - 8 + 6f - 2f​

2(3 - 4 + 3f -f)     [Distributive Property]

=> 2(-1 + 3f - f)

=> 2(-1 + 2f)

=> -2 + 4f

Answer:

4f-2

Step-by-step explan:

6-8+6f-2f

6-8+4f

4f-2

Answer: x = -19

Step-by-step explanation:

Given

x + 7 = - 12

Subtract 7 on both sides

x + 7 - 7 = -12 - 7

[tex]\boxed{x=-19}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

X=-19

Step-by-step explanation:

X+7=-12

subtract 7 from both sides

X=-19

Answer:

Here you go

Step-by-step explanation:

Answer:

B) 74

Step-by-step explanation:

This is an icoseles triangle because of the 2 lines in each side. This makes <Y equal to <Z

Given:

<Y = <Z

All triangle angles add up to 180 so:

<W + <Y + <Z = 180

<W + 53 + 53 = 180

<W + 106 = 180

<W = 180 - 106

<W = 74

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

Five greater than a number,the result is multiplied by 18

The verbal expression for 18(p + 5) is eighteen times the quantity obtained by adding five to a number p.

The verbal expression for the algebraic expression 18(p + 5) can be described as "Eighteen times the quantity obtained by adding five to a value represented by 'p'." This expression represents a mathematical operation where a given value 'p' is increased by five, and then the result is multiplied by eighteen. This type of expression is commonly encountered in various real-world situations where a value needs to be adjusted and then scaled up by a certain factor. In this case, the result reflects the outcome of multiplying the adjusted value by eighteen.

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Answer: it should be  3.125%

Step-by-step explanation:

3.125% is the answer

Answer:

Step-by-step explanation:

I guess option 4 is the correct answer.