Answer= x²+7x+10
When we want to expand expressions such as this, the FOIL method helps us remember what exactly to do. FOIL stands for
F:First
O:Outer
I:Inner
L:Last
So, given the expression (x+5)(x+2), lets multiply the first two terms.
x*x=x²
now the outer two terms
x*2=2x
now the inner terms
5*x=5x
and the last terms...
5*2=10
When we combine these expressions we get:
x²+7x+10
I think this is what you meant to be answered in your question, if I have been mistaken, just comment and I'll edit my answer....
Answer:
a diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval.
explanation: A histogram is a chart that shows frequencies for. intervals of values of a metric variable. Such intervals as known as “bins” and they all have the same widths. The example above uses $25 as its bin width. So it shows how many people make between $800 and $825, $825 and $850 and so on.
It is C. Associative property of multiplication
Answer:
D. A square because it has 4 right angles.
Step-by-step explanation:
A square is a rectangle but a rectangle is not a square.
Answer:
{y≥1
,{y-x>0
Step-by-step explanation:
First of all you have to consider the shaded region. It is bound by two lines.
The first line is a solid line that cuts the y-axis at +1. it's equation is y = 1. since the shade region is on the upper side where y values increase, the unequivocally will be y≥1. notice that the sign ≥ is due to the solid line which indicates points on the solid line are part of the solution.
the second line is the broken line. it passes through the origin (0,0) and (1,1) any two points can be taken. the gradient is 1. m= (y1-y2)/(x1-x2) = (0-1)/(0-1)=(-1/-1)= 1. the equation of a straight line is
y=mx + c where m is gradient and c is the VA)ue of y as the line crosses the y axis ( y-intercept) which in this case is 0 at (0,0).so the equation will be y=1(x) + 0
y=x if we subtract x from both sides we have
y-x=0
since the shaded region is on the upper side as y-x increases the in equality will be
y-x>0 notice since the line is broken it shall be just > not≥ because points on a broken line are not included in the shaded region.
