Answer:
=x+22
-by-step explanation:
Let's simplify step-by-step.
3(x+4)+2(5−x)
Distribute:
=(3)(x)+(3)(4)+(2)(5)+(2)(−x)
=3x+12+10+−2x
Combine Like Terms:
=3x+12+10+−2x
=(3x+−2x)+(12+10)
=x+22
Answer:
6x+20 or 2(3x+10)
Step-by-step explanation:
Six friends went to a basketball game and four people paid $5 extra for a t-shirt. To find the total cost, multiply 6 by x and 4 by 5 this add them together:
6*x+4*5
6x+20, If needed you can factor this expression to:
2(3x+10)
In this questions, there are a few functions with more/less than and equal to symbol.
1. Answer: f(x)= 3
f(x)= 2<x ≤3
The x is [more than 2] and [less than 3] or [equal to 3]. The number that will fulfill the condition would be only 3 since 3 is [more than 2] and [equal to 3].
2. f(x)= 1
f(x)= 0<x ≤1
The x is [more than 0] and [less than 1] or [equal to 1]. The number that will fulfill the condition would be only 1 since 1 is [more than 0] and [equal to 1].
3. f(x)= x
f(x)= 1≤x ≤2
The x is [more than 1] or [equal to 1] and [less than 2] or [equal to 2]. The number that will fulfill the condition would be
1, since 1 is [equal to 1] and [less than 2]
2, since 2 is [more than 1] and [equal to 2]
The graph that follow the value would be: f(x)= x
4. Answer: f(x)= 4
f(x)= 3<x ≤4
The x is [more than 3] and [less than 4] or [equal to 4]. The number that will fulfill the condition would be only 4 since 4 is [more than 3] and [equal to 4].
7. Slope of AD = 4/16 = 1/4
8. ΔAEC = 3/12 = 1/4
.. ΔDFB = 2/8 = 1/4
9. The angles at E, G, and F are right angles. Lines CE and BF are parallel, so the alternate interior angles at B and C where the transversal AD crosses them are equal. The triangles of interest are similar by AA~.
10. See problem 7. The ratio is the same.
11. Hard to tell what rule they want you to state. Every axis-aligned right triangle with its hypotenuse on AD will have the same ratio of side lengths. (That's one of the features of the graph of a line. It has the same slope everywhere, measured over any distance.)
Answer:
9x^4-2x^2+7x-8x^3+x^5-4. 9x4−2x2+7x−8x3+x5−4 9 x 4 - 2 x 2 + 7 x - 8 x 3 + x 5 - 4.
Step-by-step explanation: just do this 9x^4-2x^2+7x-8x^3+x^5-4. 9x4−2x2+7x−8x3+x5−4 9 x 4 - 2 x 2 + 7 x - 8 x 3 + x 5 - 4.