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Nitella [24]
3 years ago
6

A cafeteria manager needs to know how many apples and bananas to to order. He asked students to choose either an apple or a bana

na as their preferred fruit. The survey results know that of the students who responded, 7?10 picked apples. If 84 students picked apples, how many picked bananas?
Mathematics
1 answer:
anyanavicka [17]3 years ago
3 0

569 is the answers to

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The window is 60 inches wide. What is the width of the window in feet.
blsea [12.9K]

Answer:

5feet

Step-by-step explanation:

1 foot= 12 inches

1 inches = 1/12 feet

60 inches= 60x1/12= 5 feet


8 0
3 years ago
Which line segment is a radius of circle A?
liubo4ka [24]

AB and AC ................................

7 0
2 years ago
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Solve the equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are locat
eimsori [14]

Answer:

There are NO real roots for this equation. The only roots have imaginary parts and therefore cannot be represented on the real x-axis.

Step-by-step explanation:

We notice that the expression on the left of the equation is a quadratic with leading term 2x^2, which means that its graph is that of a parabola with branches going up.

Therefore, there can be three different situations:

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

2) if its vertex is below the x-axis, the parabola's branches are 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 have NO 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=2 and b=-3, we get that the x-position of the vertex is:

x_v=\frac{-b}{2a}\\x_v=\frac{-(-3)}{2(2)}\\x_v=\frac{3}{4}

Now we can find the y-value of the vertex by evaluating this quadratic expression for x = 3/4:

y_v=f(\frac{3}{4})=2( \frac{3}{4})^2-3(\frac{3}{4})+4\\f(\frac{3}{4})=2( \frac{9}{16})-\frac{9}{4}+4\\f(\frac{3}{4})=\frac{9}{8}-\frac{9}{4}+4\\f(\frac{3}{4})=\frac{9}{8}-\frac{18}{8}+\frac{32}{8}\\f(\frac{3}{4})=\frac{23}{8}

This is a positive value for y, therefore we are in the situation where there is NO x-axis crossing of the parabola's graph, and therefore no real roots.

We can though estimate a few more points of the parabola's graph in order to complete the graph as requested in the problem. For such we select a couple of x-values to the right of the vertex, and a couple to the right so we can draw the branches. For example: x = 1, and x = 2 to the right; and x = 0 and x = -1 to the left of the vertex:

f(-1) = 2(-1)^2-3(-1)+4= 2+3+4=9\\f(0)=2(0)^2-3(0)+4=0+0+4=4\\f(1)=2(1)^2-3(-1)+4=2-3+4=3\\f(2)=2(2)^2-3(2)+4=8-6+4=6

See the graph produced in the attached image.

4 0
2 years ago
Please help quick lol
sergiy2304 [10]

Hello!!

here's ur answer...

given that the volume of cube=343cm³

side³=343cm³

side=³√343

side=7cm

verification:-

volume of cube=side³

=7×7×7

=343cm³

hence, verified.

the length of the edge of cube is 7cm.

hope this helps....

8 0
3 years ago
Laree is buying a car that costs 4,155. she has 1,575 and will borrow the rest from her parents. will payments of 225 per month
Natasha_Volkova [10]
The car cost $4,155 and she has $1,575 so $4,155-$1,575=$2,580as the balanced owed if she borrows the rest from her parents and has a one year to pay it off it will be paid off because her payments are $225 a month for one year  at 225x12=$2,700 its a little over but it will be paid off
5 0
2 years ago
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