No, because you have to compare the value in the ones place. And 5 is definitely not more than 8.
Answer:
x < -22
-22
Step-by-step explanation:
Let the number be x, to make an inequality.
3x + 4 < -62
Subtract 4 on both sides.
3x < -66
Divide both sides by 3.
x < -22
So the number is -22.
Answer:
Step-by-step explanation:
The quadratic expression in the standard form is given by :
f(x) =
+ bx + c
(b) To complete the square:
Divide the equation through by a , the equation then becomes
f(x)=
+
+
At this point, you are require to
(i) multiply the coefficient of x by 1/2
(ii) square the result
(iii) add the result to both sides , we have
f(x) =
+
+
+
+
by completing the square , we have
f(x) =
+
-
. We did this in order to make the expression balance
(c) Using the order of operation to turn the expression back into standard form
i. Expand the function in the bracket , we have
f(x) =
+
+
+
- ![\frac{b^{2} }{4a^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7Bb%5E%7B2%7D%20%7D%7B4a%5E%7B2%7D%20%7D)
⇒ f(x) =
+
+
+
- ![(\frac{b}{2a} )^{2}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bb%7D%7B2a%7D%20%29%5E%7B2%7D)
⇒f(x) =
+
+ ![\frac{c}{a}](https://tex.z-dn.net/?f=%5Cfrac%7Bc%7D%7Ba%7D)
multiply through by the L.C.M , which is a , then we have
f(x) =
- bx + c .
Since the aim of completing the square is to make the expression a perfect square , then it will always result in a perfect square trinomial.
Answer:
Reflect the intermediate image.
Multiply the vertices of polygon ABCD by One-half.
Null Hypothesis,
: The heart transplant operation had no impact on the patient's survival rates. Alternative Hypothesis,
: It was asserted that recipients of heart transplants had a higher chance of surviving than recipients of organs from other donors.
The large distribution from binomial, Poisson, etc. is approximated by the normal distribution. Furthermore, the variables are discrete and few, and we are working with counted data rather than real observations. Chi-square distribution should be used in the current scenario. We can determine if the two groups are the same or different by using the chi-square test. As a result, a confidence interval cannot be created.
In other words, the Null Hypothesis is true if the average for the two groups (control and treatment) is equal. In the alternative theory, The averages for the two groups (control and treatment) are different.
To learn more about confidence intervals:
brainly.com/question/17212516
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