Answer:
7
Step-by-step explanation:
The first step to solve this problem is to convert 1h 30min into just minutes. since there are 60 minutes in 1 hour you take 60 and add it ot the 30 extra minutes to get a total of 90.
Now, this question is asking you to find how many calories per minute she burns. When you are asked to find ___ per___ all you have to do is divide the first number by the second one. In this case you will divide calories by minutes.
630/90=7
Answer:
*Parabola that opens up
*y-intercept is 2
*x-intercepts are -1/3 and -2
*vertex is (-7/6 , -25/12)
Step-by-step explanation:
I will describe what this graph looks like.
First, the graph is quadratic because it is in the form ax² + bx + c. The function must be in the shape of a parabola. Parabolas look like a "U" shape.
Whether "a" is negative or positive represents of the parabola opens up or down. Since "3" is positive, the parabola opens up.
"c" represents the y-intercept. The y-intercept is when the graph touches the y-axis. The function must have a y-intercept of positive 2.
We can also find its x-intercepts, also called roots/zeroes, by substituting into the quadratic formula (Ignore the Â).
Using the form ax² + bx + c, we know:
a=3; b=7; c=2
Substitute into the formula.
Split the equation at the ± sign.
The graph has x-intercepts -2 and -1/3.
We can find the vertex of the graph. It is the part of the parabola that is the lowest (or highest, is it opens down).
Find the midpoint of the x-intercepts for the vertex x-coordinate:
(-1/3 - 2)/2 = (-1/3 - 6/3)/2 = (-7/3)*(1/2) = -7/6 = -1.167 = x
Substitute the vertex x-coordinate into the formula to find the "y" in vertex.
y=3x²+7x+2
y=3(-7/6)²+7(-7/6)+2
y= 147/36 + (-49/6) + 2
y= 147/36 + (-294/36) + 72/36
y= (147-294+72)/36
y = -75/36
y = -25/12 = -2.083
The vertex is (-7/6 , -25/12) OR about (-1.167, - 2.083).
The function represents a parabola. This is graphed by creating a series of (x,y) pairs and plotting them. The resultant shape is a parabola opening upwards.
The graph described by the function is a parabola as this is a quadratic function. To depict this graph, you plot specific points determined by varying the values of x and calculating the corresponding y values.
For instance, if x is 0, y would be 2 ( ), so (0,2) is one point on the graph. You continue this process with different x values to generate a series of (x,y) pairs, which you can then plot on a graph. Once you've plotted these points, you can connect them to see the graphical representation of the function.
In this case, you would get a parabola opening upwards since the coefficient of the term is positive.
#SPJ12
b. 9.3 cm^3
c. 6.2 cm^3
d. 29.791cm^3
Show ALL work!!!!!!!!!!!!!!!!!!! please help
we know that
if A, B, and C are col-linear points and B is between A and C
then
AB+BC=AC
AB=x+6
BC=3x-5
AC=36-x
substitute
(x+6)+(3x-5)=36-x
(x+3x)+(6-5)=36-x
4x+1=36-x
4x+x=36-1
5x=35
x=35/5
x=7
the answer is
the value of x is 7