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stira [4]
3 years ago
14

melinda charges $4 per hour for babysitting. Mrs. Garden does not want to spend more than $25 for babysitting. What is the maxim

um number of hours that she can have Melinda babysit?
Mathematics
2 answers:
stich3 [128]3 years ago
6 0
25 divided by 4 =  6 remander 1

6 hours 
Rama09 [41]3 years ago
3 0
You would have to divide 25 by 4. You would get 6.25. That means that Melinda can babysit for 6 hours.
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If f(x)= 6x+7, determine the value of f(-5)
Juliette [100K]
You would substitute or plug in -5 wherever there is an x in the equation.

f(-5) = 6(-5) + 7
f(-5)= -30 + 7
f(-5) = -23
5 0
3 years ago
Read 2 more answers
Can somebody explain this please
Naddika [18.5K]
In this circle we have major arc RQ which is the really big one measuring 40x, and we have minor arc RQ, which is what we are looking for.  Minor arc RQ is double the measure of the angle that intercepts it.  That means that minor arc RQ is 2(12x-12), which is 24x - 24.  The measure of the outside of any circle will always and forever be 360 degrees;  therefore, 40x + 24x - 24 = 360.  Combining like terms gives us 64x = 384 and x = 6.  Now sub in that 6 for the x in the angle 12x - 12 to get that that angle measures 12(6)-12 = 60.  Again, the angle is half the measure of the arc it intercepts, so minor arc RQ is 120 degrees, third choice down.
4 0
3 years ago
How do you solve x^2-4X-12=0
Pepsi [2]
                                         x²  -  4x  - 12  =  0

Factor the left side:      (x + 2) · (x - 6)  =  0

The equation is true if either factor is zero.

If  (x + 2) = 0  then    x = -2 .

If  (x - 6) = 0  then     x = 6 .
3 0
3 years ago
Show that every triangle formed by the coordinate axes and a tangent line to y = 1/x ( for x > 0)
vfiekz [6]

Answer:

Step-by-step explanation:

given a point (x_0,y_0) the equation of a line with slope m that passes through the  given point is

y-y_0 = m(x-x_0) or equivalently

y = mx+(y_0-mx_0).

Recall that a line of the form y=mx+b, the y intercept is b and the x intercept is \frac{-b}{m}.

So, in our case, the y intercept is (y_0-mx_0) and the x  intercept is \frac{mx_0-y_0}{m}.

In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph (x_0,\frac{1}{x_0}). Which means that y_0=\frac{1}{x_0}

The slope of the tangent line is given by the derivative of the function evaluated at x_0. Using the properties of derivatives, we get

y' = \frac{-1}{x^2}. So evaluated at x_0 we get m = \frac{-1}{x_0^2}

Replacing the values in our previous findings we get that the y intercept is

(y_0-mx_0) = (\frac{1}{x_0}-(\frac{-1}{x_0^2}x_0)) = \frac{2}{x_0}

The x intercept is

\frac{mx_0-y_0}{m} = \frac{\frac{-1}{x_0^2}x_0-\frac{1}{x_0}}{\frac{-1}{x_0^2}} = 2x_0

The triangle in consideration has height \frac{2}{x_0} and base 2x_0. So the area is

\frac{1}{2}\frac{2}{x_0}\cdot 2x_0=2

So regardless of the point we take on the graph, the area of the triangle is always 2.

6 0
3 years ago
A cyclist rides his bike at a speed of 21miles per hour. What is this speed in miles per minute? How many miles will the cyclist
AveGali [126]

Answer:

.35 miles per minute

3.5 miles in 10 minutes

Step-by-step explanation:

21 ÷ 60= .35

.35 × 10 = 3.5

7 0
3 years ago
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