We are given with a verbal phrase of a function<span> of x is equal to the square root of x plus one divided by x plus four times x minus six.
This is expressed as f(x) = </span>√(x) + 1/x + 4x - 6
the domain are values which include only natural numbers because of the square root sign. answer is D. <span>x ≥ 0</span>
Answer:
x=-4 and y=4
Step-by-step explanation:
(6x+9y)-(6x+7y)=12-4=8
--> 9y-7y=8
-->2y=8-->y=4
-->6x+7×4=4 -->x=-4
Answer:
equation for line: y = 5/3x -7/3
Step-by-step explanation:
The equation for a linear line is y = mx + c. m is the gradient of the line, also known as slope. So, m = 5/3.
Next we need to find c. Since we know a point the line must intersect, we can sub this into our line equation to get an answer:
(2,1) x=2,y=1
1 = 5/3*2 + c
1 = 10/3 + c
1 - 10/3 = c
3/3 - 10/3 = c
-7/3 = c
The final eqaution of the line is: y = 5/3x -7/3
Z = (X-Mean)/SD
<span>z1 = (165 - 150)/15 = +1 </span>
<span>z2 = (135 - 150)/15 = - 1 </span>
<span>According to the Empirical Rule 68-95-99.7 </span>
<span>Mean +/- 1SD covers 68% of the values </span>
<span>100% - 68% = 32% </span>
<span>The remaining 32% is equally distributed below z = - 1 and z = +1 </span>
<span>32%/2 = 16%
</span>
<span>Therefore,
</span>
<span>a) Number of men weighing more than 165 pounds = 16% of 1000 = 160 </span>
<span>b) Number of men weighing less than 135 pounds = 16% of 1000 = 160</span>
Average: about 87%
Her english grade affects her average because it is the lowest out of all of the grades which brought her average grade down.
not sure about this: To bring her average higher, she should probably try more in english or study. (not sure about this one)
Step by Step:
Add up all of her scores:
86 + 72 + 93 + 87 + 93 + 100 + 80
it equals 611
Since we added up 7 scores, we divide 611 by 7
611 divided by 7 is 87.285...
So her average is about 87%
