Answer:
7
Step-by-step explanation:
7 because it's not asking for squares it asking for cubes
Answer:
adults = 40
children = 68
Step-by-step explanation:
Let the children=c
Let the adults = a
<em><u>Equations</u></em>
a + c = 108 (1)
3.75a + 1.5c = 252 (2)
Multiply (1) by 1.5
1.5a + 1.5c = 162 (3)
Subtract (3) from (2)
3.75a + 1.5c = 252
1.5 a + 1.5c = <u>162</u> Subtract
2.25a = 90 Divide by 2.25
a = 90/2.25
a = 40
<em><u>Find the number of children</u></em>
a + c = 108
40 + c = 108
c = 108 - 40
c = 68
<em><u>Check</u></em>
LHS
3.75 * 40 + 1.50 * 68
150 + 102
252 Which checks with the right hand side.
Answer:
Step-by-step explanation:
Slope intercept form is:
<h2>
Find the Slope:</h2>
Choose 2 points on the graph:
(0,1) (2,0)
Find the slope of the two points:
<h2>Find the Y-Intercept</h2>
The y-intercept, or the point that the line crosses on the y axis, is (0,1).
Answer:
36
Step-by-step explanation:
171/(4+0.75) =36
you want it to be in minutes, so calculate the 45 seconds over 60 seconds, which is 0.75. Add that to the 4 minutes, and divide the total number of copies over the time used, and you have speed/minute.
The quadratic formula, has a part we call the "discriminant" defined by the variables that are inside the square root, and is denotated by "delta":
<span>Δ=<span>b2</span>−4ac</span>
Whenever we solve a quadratic equation that is complete and we analyze the discriminant, we can get 3 scenarios:
<span>if→Δ>0<span>=></span>∃<span>x1</span>,<span>x2</span>/a<span>x2</span>+bx+c=0</span>
This just means: "if the discriminant is greater than zero, there will exist two x-intercepts"
And for the second scenario:
<span>if→Δ=0→∃<span>xo</span>/a<span>x2</span>+bx+c=0</span>
This means: "if the discriminant is equal to zero, there will be one and only one x-intercept"
And for the last scenario:
<span>if→Δ<0→∃x∉R/a<span>x2</span>+bx+c=0</span>
This means that :"if the discriminant is less than zero, there will be no x-intercepts"
So, if we take your excercise and analyze the the discriminant:
<span>3<span>x2</span>+7x+m=y</span>
we will find the values that satisfy y=0 :
<span>3<span>x2</span>+7x+m=0</span>
And we'll analyze the discriminant:
<span>Δ=<span>72</span>−4(3)(m)</span>
And we are only interested in the values that make the discriminant equal zero:
<span><span>72</span>−4(3)(m)=0</span>
All you have to do is solve for "m".