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3 years ago

Given f(x) = 5x + 5 and g(x) = 6x + 1

1 answer:

4 0

• f(x) = 5x + 5

• g(x) = 6x + 1

Now, you just sum those functions:

(f + g)(x) = f(x) + g(x)

(f + g)(x) = (5x + 5) + (6x + 1)

(f + g)(x) = 5x + 6x + 5 + 1

(f + g)(x) = 11x + 6

Therefore,

(f + g)(– 8) = 11 · (– 8) + 6

(f + g)(– 8) = – 88 + 6

(f + g)(– 8) = – 82 <——— this is the answer.

I hope this helps! =)

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23. Angle F and G and Hare the angles of a triangle. Angle G is 8 more than twice angle'F.

vlabodo [156]

Answer: Your asnwer would be........................... 278

Step-by-step explanation: Angle F stands for numbers alll the letters do so if we were to understand all the coordnation then multiply them together you would get 278. However if this way was too hard can explane it on YT so come check out my three channels CAMERON the OG Football madnesss X and math nerds sub to all and check out my latest vid on Math nerds that will help you and you can also help me by subscribing

5 0

2 years ago

A tractor costs $16,900 and depreciates in value by 13% per year. How much will the tractor be worth after 8 years?

Assoli18 [71]

Answer: $-676

Step-by-step explanation:

Multiply 13% or 0.13 by the 16,900 to get 2,197. Multiply the 2,197 by 8 because that’s how many years there are and you get 17,576 then subtract that from the 16,900 to get -676 which means that the tractor would be worth pretty much nothing

8 0

3 years ago

Please help, I’ll mark your answer as brainliest!

statuscvo [17]

Answer:

$(x-230)^2+(y-220)^2=6100$

Step-by-step explanation:

The equation for a circle is $(x-h)^2+(y-k)^2=r^2$ , where $(h,k)$ is the vertex of the circle and $r$ is the radius. Immediately, since the center of the circle is given, we know what $h$ and $k$ are. $h$ is 230 and $k$ is 220.

The only thing we need to find is the radius, which will just be the distance from the center (230,220) to a point on the circumference (170,170). The distance between them can be calculated using the <u>distance formula</u>, which is really just the <u>Pythagorean Theorem</u> rearranged. The formula states that $d=\sqrt{x^2+y^2}$ , where $x$ is the change in the x-coordinates of the two points and $y$ is the change in the y-coordinates of the two points. Plug-in $x$ for 60 and $y$ for 50 to get $d=\sqrt{50^2+60^2}$ . Solve for $d$ , arriving at $\sqrt{6100}$ . Therefore, the radius of the circle is $\sqrt{6100}$ .

Finally, we have all of the components to create the equation of the circle. Plug-in 230 for $h$ , 220 for $k$ , and $\sqrt{6100}$ for $r$ .

The equation of the circle will be $(x-230)^2+(y-220)^2=6100$ .

Hope this helps :)

4 0

2 years ago

A rectangle has a length of x + 5 and width of x - 3. What is the area of the rectangle? Write the answer as a polynomial in sta

goldfiish [28.3K]

Answer:

Step-by-step explanation:

Area = length * width

length: x + 3

width: x - 5

A = (x + 3)(x - 5)

Simplify (x + 3)(x - 5) using the FOIL method:

1. First numbers: multiply the first number of each binomial together--x*x = x%5E2

2. Outer numbers: multiply the outer number of each binomial (out of the entire expression, the number farthest to the left (x) and the number farthest to the right (-5))--x*-5 = -5x

3. Inner numbers: multiply the inner number of each binomial--3*x = 3x

4. Last numbers: multiply the last number of each binomial--3*-5 = -15

==> Now, add all of the results together and combine like terms: x%5E2+-+5x+%2B+3x+-+15 = x%5E2+-+2x+-+15

Therefore, A = x%5E2+-+2x+-+15

8 0

3 years ago

The point Z(5, -3) is rotated 270° clockwise around the origin. What are the coordinates of the resulting point, Z′?

g100num [7]

Answer:

(3, - 5 )

Step-by-step explanation:

Under a clockwise rotation about the origin of 270°

a point (x, y ) → (- y, x ), hence

Z(5, - 3 ) → Z'(3, - 5 )

4 0

3 years ago