Answer:
-7x(x + 4)
Step-by-step explanation:
Not sure exactly what you're doing with this, but I know you're not solving it for x because there's no " = " there so I am assuming you're simplifying it as much as possible. I'm going with that.
First thing is to distribute through the parenthesis by multiplying 4x by 3x and then 4x by -7 to get:
Now combine like terms to get
The last thing you could do now is pull out what's common between each of those terms which is -7x. When you do that, you're left with
-7x(x + 4)
Answer:
12.3
Step-by-step explanation:
Step 1
We find the mean
The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100
Mean = Sum of terms/Number of terms
Number of terms = 10
Mean = 61 + 67 + 81 + 83 + 87 + 88 + 89 + 90 + 98 + 100/10
Mean = 844/10
Mean = 84.4
Step 2
Standard deviation
The formula for sample standard deviation =
√(x - Mean)²/n - 1
= √[(61 - 84.4)² + (67 - 84.4)² + (81 - 84.4)² + (83 - 84.4)² + (87 - 84.4)² + (88 - 84.4)² + (89 - 84.4)² + (90 - 84.4)² + (98 - 84.4)² + (100 - 84.4)²]/10 - 1
=√ 547.56 + 302.76 + 11.56 + 1.96 + 6.76 + 12.96 + 21.16 + 31.36 + 184.96 + 243.36/10 - 1
= √1364.4/9
= √151.6
= 12.31259518
Approximately to the nearest tenth = 12.3
The standard deviation = 12.3
9514 1404 393
Answer:
2.25
Step-by-step explanation:
The number 2.25 is already in standard form.
___
In the US (and other places), "standard form" is an ordinary decimal number, with the integer part to the left of the decimal point and the fractional part to the right of the decimal point: 2.25.
In the UK (and other places), "standard form" is a number written in scientific notation with a mantissa consisting of the leading non-zero digit to the left of the decimal point, the remaining significant digits to the right of the decimal point, and a multiplier that is 10 to the power appropriate to the place value of the leading digit. When the multiplier is 1, we need not write it.
2.25 = 2.25×10⁰ (full form) = 2.25 (with superfluous 10⁰ removed)
To find teh equation of the line we need the slope of that line and the co ordinates of the one point through which it is passing
here we are given only two points through which it is passing
this can help us to find slope .
We start with finding the slope of the line passing through x1 y1 and x2 y2
that is m= ( y2- y1) divide by ( x2-x1)
here we h ave : x1= -2 and y1 = 7 , x2= 3 and y2 = 12
slope of the line would be : ( 12- 7 ) divide by ( 3 - -2 )
slope of the line = 5 / 5 = 1
Equation of the line having slope m and passing through x1 y1 is :
we have found ,m= 1
Y= m( X- x1) + y1
Y= 1 ( X- -2 ) + 7
Y= X+2 + 7
Y= x+ 9 that is the equation of the required line
Answer : Y = x+9