Answer:
m=12
Explanation:
Given any quadratic function, y=ax²+bx+c.
We can determine the nature of the roots of such quadratic function by examining the discriminant, D where:
• If D>0, the roots are real and unequal.
,
• If D=0, the roots are real and equal.
,
• If D<0, the roots are complex.
In our given equation:
For the function to have exactly one zero, the value of D=0.
The value of m for which the function will have one zero is 12.
Answer:maybe 0.75
Step-by-step explanation:
Answer:
BC = 20
Step-by-step explanation:
AC = AB + BC
28 = x-10 + x+2
Combine like terms
28 = 2x -8
Add 8 to each side
28+8 = 2x-8+8
36 = 2x
Divide by 2
36/2 = 2x/2
18 =x
We want to find BC
BC = x+2
=18+2
=20
Answer:
9
Step-by-step explanation:
The possible dimensions of the larger piece of paper that could give us 1000 square inches for area are:
1×1000; 2×500; 4×250; 5×200; 8×125; 10×100; 20×50; 25×40
We want to use dimensions that will allow us to cut 8 1/2 by 11 sheets. This means that the smallest dimension needs to be larger than 8 1/2 inches; this leaves us with
10×100; 20×50; 25×40
For the first one, 10×100, we can have 1 row across the 10 inch dimension, and 100/11 = 9 columns across the other dimension. This gives us 1×9 = 9 sheets.
For the 20×50, we can have 2 rows across the 10 inch dimension and 50/11 = 4 columns; this gives us 2×4 = 8 sheets.
For the 25×40, we can have 2 rows across the 25 inch dimension (we lack half an inch of having 3) and 40/11 = 3 columns; this gives us 2×3 = 6 sheets.
The largest number of sheets was 9.
Answer:
8 blue seats in each section
Step-by-step explanation:
88 seats in 4 identical sections
88÷4 = 22 seats in each section
red+blue = 22
14+blue = 22
blue = 22-14
8 blue seats each section
Equation:
No. of blue seats = (88/4) - 14
