3n+4<-62
n being the number
+4 for the number being increased by 4.
3n=3*n
< the less than sign
Hope this helped!
Step-by-step explanation:
2 m corresponds to 0.4 cm on a blueprint.
so,
2 m / 0.4 cm = 200 cm / 0.4 cm
our fun the point of view of the blueprint
0.4 cm / 200 cm
the scale on a map or blueprint is usually normed to one unit on the blueprint :
0.4/200 × f/f = 1/(200×f)
0.4 × f = 1
f = 1/0.4 = 2.5
so, our scale is
(0.4 × 2.5) / (200 × 2.5) = 1 / 500
that means 1 cm on the blueprint corresponds to 500 cm or 5 m in reality.
Answer:
Step-by-step explanation:
The discriminant comes from the quadratic formula. We use the discriminant to determine, before factoring, what types of solutions we can expect when we do factor. In the quadratic formula, the discriminant is under a square root sign. If the number under a square root sign is negative (meaning the discriminant is negative), we will not have real number solutions because you can't have a negative number under a square root. So a is your choice.
The answer is F(x) = 900x + 600
Let x stands for the number of months
The apartment is rented for $900 a month, so every month it will be paid 900x (for example, for one month (x = 1), you will pay 900 · 1 = $900, for three months (x = 5), you will pay 900 · 5 = $4500, etc.)
A security deposit is paid only once and is not dependent on the number of months. So, its value is only 600.
These two values must be summed up because both must be paid, nothing is to subtract. Therefore, the function f(x) for apartments that rent for $900 a month and a security deposit of $600 is:
f(x) = 900x + 600
Answer: length = 8cm; width = 6cm
Step-by-step explanation:
The dimensions of a rectangle are the length and width:
Let x be the length of rectangle, and
y, the width of rectangle
Perimeter equals 2x+2y=28, divide through by 2: x+y=14
Make y the subject, y=14-x, input the value of y into the equation and solve by pythagorean theorem:
x^2 + y^2= 10^2 = 100
x^2 + (14-x)^2 =100
x^2 +196-28x + x^2= 100
2x^2- 28x +196= 100
2x^2 -28x +96 =0
x^2 -14x + 48= 0
(x- 8) (x- 6)= 0
x= 8; or x = 6
The length of rectangle is 8 cm
The width of rectangle is 6 cm
I hope this helps.
