Rewrite each number using scientific notation.

Nori had 2 2/12 bags of apples he used 1 5/12 bags of apples to make pies how many bags of apples does nori have left. 1. See an

diamong [38]

Answer:

Nori would have 9/12 of a bag left.

Step-by-step explanation:

she had 2 2/12 and she used 1 5/12 so you subtract them and get 9/12

6 0

3 years ago

Read 2 more answers

Solve the equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are locat

zavuch27 [327]

Answer:

The equation contains exact roots at x = -4 and x = -1.

See attached image for the graph.

Step-by-step explanation:

We start by noticing that the expression on the left of the equal sign is a quadratic with leading term $x^2$ , which means that its graph shows branches going up. Therefore:

1) if its vertex is ON the x axis, there would be one solution (root) to the equation.

2) if its vertex is below the x-axis, it is forced to cross it at two locations, giving then two real solutions (roots) to the equation.

3) if its vertex is above the x-axis, it will not have real solutions (roots) but only non-real ones.

So we proceed to examine the vertex's location, which is also a great way to decide on which set of points to use in order to plot its graph efficiently:

We recall that the x-position of the vertex for a quadratic function of the form $f(x)=ax^2+bx+c$ is given by the expression: $x_v=\frac{-b}{2a}$

Since in our case $a=1$ and $b=5$ , we get that the x-position of the vertex is: $x_v=\frac{-b}{2a} \\x_v=\frac{-5}{2(1)}\\x_v=-\frac{5}{2}$

Now we can find the y-value of the vertex by evaluating this quadratic expression for x = -5/2:

$y_v=f(-\frac{5}{2})\\y_v=(-\frac{5}{2} )^2+5(-\frac{5}{2} )+4\\y_v=\frac{25}{4} -\frac{25}{2} +4\\\\y_v=\frac{25}{4} -\frac{50}{4}+\frac{16}{4} \\y_v=-\frac{9}{4}$

This is a negative value, which points us to the case in which there must be two real solutions to the equation (two x-axis crossings of the parabola's branches).

We can now continue plotting different parabola's points, by selecting x-values to the right and to the left of the $x_v=-\frac{5}{2}$ . Like for example x = -2 and x = -1 (moving towards the right) , and x = -3 and x = -4 (moving towards the left.

When evaluating the function at these points, we notice that two of them render zero (which indicates they are the actual roots of the equation):

$f(-1) = (-1)^2+5(-1)+4= 1-5+4 = 0\\f(-4)=(-4)^2+5(-4)_4=16-20+4=0$

The actual graph we can complete with this info is shown in the image attached, where the actual roots (x-axis crossings) are pictured in red.

Then, the two roots are: x = -1 and x = -4.

5 0

3 years ago

How can you explain to your friend, Talat, who knows math but not physics, the differences between the predicted value and the o

sasho [114]

Answer:

Predicted value YHat is a symbol used to represent the predicted equation for a line of best fit in a linear regression. The equation usually take the form of 'a' as the y- intercept and 'b' as the slope of the graph. It is calculated from estimated regression equations for the line of best fit.

While outcome of experiment is the total of all possible results from an experiment.

Step-by-step explanation:

8 0

3 years ago

A soccer team made 76 penalty shots out of 100.Which ratio represents successful penalty shots to missed penalty shots?

almond37 [142]

Sense we are wanting to find <u>how many were miss</u>, then, we are practically going to subtract the following:

$\boxed{76-100}= \ \left[\begin{array}{ccc}\bf{24\end{array}\right]$

So, from this begin understood, we would then combine both the penalties that were shotted, to the onces that weren't.

So, b subtracting these both, we would grab the result, and then smash that with the number of the penalties that were made in.

Your answer: $\boxed{\bf{76:24}}$

5 0

3 years ago

Find the perimeter of the rectangle with points...<br> W(6,9), X(9,7), Y(3,-2), Z(0,0)

Svetradugi [14.3K]

Find the perimeter of the rectangle with points...
W(6,9), X(9,7), Y(3,-2), Z(0,0)

5 0

3 years ago