Answer:
Step-by-step explanation:
1. Find the GCF (Greatest Common Factor)
2. Factor out the GCF and simplify.
3. Factor 
Which two numbers add up to -1 and multiply to -6?
<u>-3 and 2</u>
Rewrite the expression using the numbers above.
4. Done!
Answer:
hi
Step-by-step explanation:
Answer:
<h3>
x=144</h3>
Step-by-step explanation:
h²=65²-25²=4225-625=3600
h²=x*25
x=h²:25
x=3600:25
<h3>
x=144</h3>
Answer:
f(x) = 2(x -3)² +5 or f(x) = 2x² -12x +23
Step-by-step explanation:
The equation of a quadratic is easily written in vertex form when the coordinates of the vertex are given. Here, the point one horizontal unit from the vertex is 2 vertical units higher, indicating the vertical scale factor is +2.
__
<h3>vertex form</h3>
The vertex form equation for a parabola is ...
f(x) = a(x -h)² +k . . . . . . vertex (h, k); vertical scale factor 'a'
<h3>equation</h3>
For vertex (h, k) = (3, 5) and vertical scale factor a=2, the vertex form equation of the parabola is ...
f(x) = 2(x -3)² +5 . . . . . vertex form equation
Expanded to standard form, this is ...
f(x) = 2(x² -6x +9) +5
f(x) = 2x² -12x +23 . . . . . standard form equation
To check which of the quotients is correct, multiply 43 times 20 and add the remainder. The result must be equal to 876.
First, notice that 20 times 43 equals 860.
A)
The remainder is 17. 860 + 17 = 877, which is not equal to 876.
B)
The remainder is 16. 860 + 16 = 876, which is equal to 876.
C)
The remander is 7. 860 + 7 = 867, which is not equal to 876.
D)
The remainder is 6. 860 + 6 = 866, which is not equal to 876.
Since 20*43 + 16 = 876, then the correct quotient is shown in option B:
876 ÷ 43 = 20 r 16
