Answer:
200<=15x
divide by 15
You have to work at least 13 1/3 hours to earn $200
<= means greater than or equal to
Step-by-step explanation:
Answer:
The x-intercept=7
Step-by-step explanation:
Step 1
Given the equation;
y=-x+7, is a linear equation
Step 2
The x-intercept is the value of x when the graph crosses the x-axis. At this point, the value of y=0
Step 3
Substitute the value of y in the linear equation above to solve for the x-intercept.
Given;
y=0
And the linear equation is;
y=-x+7
replace;
0=-x+7
x=7
The x-intercept=7
Answer:
dx/dt = 0,04 m/sec
Step-by-step explanation:
Area of the circle is:
A(c) =π*x² where x is a radius of the circle
Applying differentiation in relation to time we get:
dA(c)/dt = π*2*x* dx/dt
In this equation we know:
dA(c)/dt = 0,5 m²/sec
And are looking for dx/dt then
0,5 = 2*π*x*dx/dt when the area of the sheet is 12 m² (1)
When A(c) = 12 m² x = ??
A(c) = 12 = π*x² ⇒ 12 = 3.14* x² ⇒ 12/3.14 = x²
x² = 3,82 ⇒ x = √3,82 ⇒ x = 1,954 m
Finally plugging ths value in equation (1)
0,5 = 6,28*1,954*dx/dt
dx/dt = 0,5 /12.28
dx/dt = 0,04 m/sec
If a logarithm has a coefficient, then the coefficient can also be written as the exponent of the input of the logarithm. In other words, if you have the logarithm alog(x), that is equal to log(x^a). So the expression can be rewritten:
log(x^2)+log(y^3)
If tow logarithms of the same bases are added together that is equal to the logarithm of the product of the inputs of the two original logarithms. In other words, given log(x)+log(y), it can also be written as log(xy). So the expression can be combined into one logarithm:
log(x^2 * y^3)
Answer: Hi there, the answer should be the third option v < -8.
