Answer:
x < 5
Step-by-step explanation:
Step 1: Simplify
7x−35<2x−10
Step 2: Substract 2x from both sides
7x−35−2x<2x−10−2x
5x−35<−10
Step 3: Add 35 to both sides
5x−35+35<−10+35
5x<25
Step 4: Divide by 5
5x/5 × 25/5
x < 5
Answer:
Al igual que los cuadrados y los triángulos equiláteros, los hexágonos regulares encajan sin ningún espacio para enlosar el plano (tres hexágonos se encuentran en cada vértice), por lo que son útiles para construir mosaicos.
Answer:
-2/3
Step-by-step explanation:
Log125(1/25)=x
Raise each side to the base of 125
125^Log125(1/25)=125^x
1/25 = 125^x
Rewrite 25 as a power of 5 and 125 as a power of 5
1 / 5^2 = 5^3^x
The if power is in the denominator, we can bring it to the numerator by making it negative
5^-2 = 5^3^x
We know that a^b^c = a^(b*c)
5^-2 = 5^(3*x)
Since the bases are the same, the exponents are the same
-2 = 3x
Divide by 3
-2/3 = 3x/3
-2/3 =x
The quadratic formula is x equals negative b plus or minus the square root of b squared minus four times a times c, all over 2a.
Looking at the equation, we can find the values for a, b, and c
a=7
b= -10
c= -2
So then putting that back into standard form, which is ax^2+bx+c, we know Haley's function in standard form is 7x^2-10x-2
Let's imagine that we turn the machine on 100 times. (this will make the percent conversion easier)
the chance that works in the morning is 50% of 100 so it will work 50 times.
the chance that it will then continue for the rest of the day is 15% so 15%*50 (the number of times it worked), which is 7.5 times.
our times actually represented percent, so the answer is : 7.5%!
