X<2: 5x+7>17 you subtract seven from both sides to give you 5x>10 when you divide by 5 the sign flips to give you x<2.
Answer: 50 miles
Step-by-step explanation:
On maps one inch is a mile
answer
240 standard versions
set up equations
s = number of standard versions
h = number of high quality versions
the total size of all standard versions would be 2.3s since each standard version is 2.3 MB
the total size of all high quality versions would be 4.4h since each standard version is 4.4 MB
add them together to get the total size (2664 MB) of all versions
2664 = 2.3s + 4.4h
since the high quality version was downloaded twice as often as the standard, we can say that
h = 2s
substitute h into equation and solve
2664 = 2.3s + 4.4h
h = 2s
2664 = 2.3s + 4.4(2s)
2664 = 2.3s + 8.8s
2664 = 11.1s
s = 2664/11.1
s = 240
A) flourish landscaping: c=120n
Green thumb: c= 70n+1600
B) 120n= 70n+1600
<u> -70n= -70n
</u> 50n=1600
<u> /50 /50
</u>n=32
<u />32 hours must be worked in order for the 2 companies to be equal
Answer:
The three quadratic equations are;
x² + 3 = 0
x² + 2·x + 1 = 0
x² + 3·x + 2 = 0
Step-by-step explanation:
1) A quadratic equation with no real solution is one with an imaginary solution such as one with a negative square root
We can write the quadratic equation as follows;
x² + 3 = 0
∴ x = √(-3) = √(-1) ×√3 = i·√(3)
Therefore, the equation f(x) = x² + 3, has no real root at f(x) = 0
2) A quadratic that has 1 real root is of the form;
(x + 1)² = 0
The root of the equation is x = -1 from (x + 1) = ((-1) + 1)² = 0²
Which gives;
(x + 1)² = (x + 1)·(x + 1) = x² + 2·x + 1 = 0
Therefore, the quadratic (x + 1)² = 0 has only one real root
3) A quadratic that has 2 real root is of the form;
(x + 1)·(x + 2) = 0
x² + x + 2·x + 2 = 0
x² + 3·x + 2 = 0
Therefore, the three quadratic equations are;
x² + 3 = 0
x² + 2·x + 1 = 0
x² + 3·x + 2 = 0