Answer:
x=-3
Step-by-step explanation:
Place like terms on the same side.
Keep in mind when a term is moved from its original position, it changes sign.
x+x=-3-3
2x=-6
x=-3
Hello:
let : f(x) = <span>x3 − 6x2 + kx + 10
</span><span>If (x + 2) is a factor of x3 − 6x2 + kx + 10 : f(-2) = 0
(-2)^3-6(-2)² +k(-2)+10=0
-8 -24-2k +10 = 0
-2k =8+24-10
-2k = 22
k = -11</span>
Answer:
The correct answer is -
a. the second group that receives test medicine
b. the first group that receives an inert pill
c. double-blind
d. placebo-controlled experiment
Step-by-step explanation:
a. The treatment group is the group that is used to test the experiment or change and receives the desire independent variable which is the second group that receives the test medicine along with an exercise and diet plan.
b. The control group is the group that is placed in ideal condition and receives no change other than placebo, here, the first group receives an inert pill along with the same exercise and diet plan.
c. Here neither the patients nor the fitness and nutrition advisors know which one is the control group and which one is the treatment group so ts a double-blind group.
d. This is best described as a placebo-controlled experiment due to the fact that there is a control group in this experiment that receives a placebo and another group that receives the treatment.
Answer:
Choice 3
Step-by-step explanation:
The reading rate of Sam is 0.75 pages/minute.
i.e 30 pages/40 minutes
The reading rate of Bill is 0.5 pages/minute
The reading rate of Francine is 0.72 pages/minute
The reading rate of Leroy is 0.75 pages/minute which is the same as Sam's.
Answer: Kara should have written the proportion in step 1 as;
Start Fraction 12 Over 72 End Fraction = Start Fraction 14 Over x End Fraction (that is 12/72 = 14/x)
Step-by-step explanation: The two similar triangles are given with the following dimensions;
Triangle VXW with side VW = 12 and side VX = 14. Also Triangle ZXY with side YZ = 72 and side XZ = x.
For two triangles to be similar, then there must be a similarity ration that is consistent with all sides in both triangles. This means if in the first triangle a side measures 1 unit and the similar side in the other triangle measures 5 units, then the ratio of similarity of corresponding sides shall be ratio 1 : 5. So for every corresponding side in the second triangle the measurement shall be times five of the side that corresponds in the first triangle.
Therefore, in triangle VXW and triangle ZXY, the corresponding sides are as follows;
VX = ZX
VW = ZY
XW = XY
What Kara did was as follows;
VX/ZY = VW/ZX
Which translates to 14/72 = 12/x
This was a wrong calculation because the side that corresponds to VX is ZX and not ZY.
The correct step should therefore have been;
VW/ZY = VX/ZX
12/72 = 14/x (Step 1)
12x = (72) (14) {Step 2}
x = 1008/12 (Step 3)
x = 84 (Step 4)