<span>3x + x + 5 – 2x =
= 3x + x - 2x + 5
= 2x + 5
</span>
1. 3rd one, because for each x there's only one y.
2. The domain are x's, so it's <span> {2, 4, 6, 8}
3. </span>The range are y's, so it's <span> {1, 2, 3, 4}
4.
5.</span>
6. <span>
7.
</span>
Answer:
Width=10
Length=18
Step-by-step explanation:
The length is 2 feet less then twice the width
Let the width be x.
Then the length is 2x -2 based on the given information. Use this to make an equation since it is known that the area is 180feet squared.
x(2x-2)=180
2x^2 - 2x - 180 = 0
2( x^2 - x - 90) = 0
We now have a factorable quadratic.
2(x+9)(x-10)=0
So by zero product property, x=-9, x=10 Since a measure cannot be negative, -9 is an extraneous solution.
So x=10
Then the width is 10 and the length is 18
Hope this helps! Let me know if it is correct!
Area of rect. = 5 x 7 = 35
area of triangle = 1/2(2)(7) = 7
area of figure = 35 + 7 = 42
answer
42 <span>units²</span>
Answer:
70, 140, 280, 350
Step-by-step explanation:
Obviously, it must have the factors 2, 5, 7 as a minimum, so the smallest value is 2×5×7 = 70.
Any of these primes can be added to the product. In increasing order, the smallest additional factors will be 2, 4, 5, 7, 8, 10, ...
So, the four smallest numbers with prime factors of 2, 5, and 7 are ...
70 = 2·5·7
140 = 2²·5·7
280 = 2³·5·7
350 = 2·5²·7