<em>$38 in Yolanda's bank account.</em>
<em>She makes two equal deposits so her account has a balance of $100.</em>
If Yolanda makes two equal deposits so her account has a balance of $100, she would have made a deposit of $31 each.
38+31+31=100
Take a look at <span>y = mx^2 – 5x – 2. This is a quadratic equation with a=m, b= -5 and c= -2. What is the discriminant, b^2 - 4ac? (-5)^2 - 4(m)(-2).
There will be 2 complex roots if this discrim. is < 0. Thus, solve
25 + 8m < 0:
Subtr. 25 from both sides: 8m < -25
Div. both sides by 8: m < -25/8
Conclusion: If m is less than -25/8, there will be no real roots (and thus, no x-intercepts). </span>
9514 1404 393
Answer:
x -y = -5
3x +y = -11
Step-by-step explanation:
We assume you want two linear equations. Since you know a point on each line, the only thing you need to choose is the slope of the two lines through that point. We can make the slopes be +1 and -3, for example. Then the point-slope equations are ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -1 = +1(x +4)
y -1 = -3(x +4)
We can use these equations "as is", or put them in whatever form you like. I personally prefer "standard form:" ax+by=c.
<u>First equation</u>:
y -1 = x +4 . . . . . . eliminate parentheses
-5 = x -y . . . . . . . keep positive x term, put x and y together, separate from the constant
x - y = -5 . . . . . . standard form
<u>Second equation</u>:
y -1 = -3x -12 . . . . eliminate parentheses
3x +y = -11 . . . . . . add 3x+1 to both sides
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A system of equations with solution (-4, 1) is ...
Answer:

Step-by-step explanation:
Answer:
There are 1084 pupils in that school.
Step-by-step explanation:
If there are 542 girls and boys then you would have to double 542 to get the total number of people. So, there are 1084 people in that school.
Hope this helps!