What is the scale of the number 546,980,214?

What is the product of x+5 and x^2+3x-4 SHOW ALL WORK FOR BRAINLEIST (write you answer in standard form and use box method or di

ser-zykov [4K]

Answer:

x^3 +8x^2 +11x -20

Step-by-step explanation:

(x+5) * (x^2+3x-4)

Multiply x * (x^2+3x-4) = x^3 + 3x^2 -4x

Multiply 5 * (x^2+3x-4) = 5x^2+ 15x -20

Add -----------------------------------

x^3 +8x^2 +11x -20

4 0

3 years ago

Tyler and Han are trying to solve this system by substitution: x+3y=-5 9x+3y=3 Tyler's first step is to isolate x in the first e

Lelechka [254]

Answer:

Yes, they can both be solved and get the same answer.

Step-by-step explanation:

Tyler's way:

Since Tyler solved first by isolating x, resulting in x=-5-3y, he can then go and look at the second equation and solve for y there. In the second equation you're going to want to subtract 9x from the right side and left side to then get 3y=3-9x. Now you're going to divide by 3 on both sides to isolate y. You'll get y=1-3x. Now we know what y equals. Plug that back into the first equation and you'll get x=-5-3(1-3x). Use the distributive property to simplify that and you'll get x=-5-3+9x. That simplified is x=-8+9x. Add 8 on both sides and you'll get 8+x=9x. Subtract x from the both sides and you'll get 8=8x. Divide by 8 on both sides and you'll get the final answer: 1=x, or x=1.

Han's way:

Since Han solved first by isolating 3y, resulting in 3y=-5-x, he can then go and look at the second equation and solve for y there. In the second equation you're going to want to subtract 9x from the right side and left side to then get 3y=3-9x. Now you're going to divide by 3 on both sides to isolate y. You'll get y=1-3x. Now we know what y equals. Plug that back into the first equation and you'll get 3(1-3x)=-5-x. Use the distributive property to simplify that and you'll get 3-9x=-5-x. Add 9x to both sides and you'll get 3=-5+8x. Add 5 to both sides to isolate 8x and you'll get 8=8x. Divide by 8 on both sides and you'll get the final answer: 1=x, or x=1.

3 0

3 years ago

A sculptor is designing her new triangular masterpiece. In her scale drawing, the shortest side of the triangular piece to be m

Minchanka [31]

Answer:

The shortest side will be 198.82 cm (1.98 m) long

Step-by-step explanation:

This problem can be solved using proportions.

First we have that:

Shortest side in scale drawing = 4 cm

Longest side in scale drawing = 34 cm

Shortest side in actual piece = x cm