9514 1404 393
Answer:
x = -1/2, x = 7
Step-by-step explanation:
Written in standard form, the equation is ...
2x² -13x -7 = 0
We observe that factors of (2)(-7) that have a sum of -13 are -14 and +1. Rewriting the middle term using these numbers, we have ...
2x² -14x +x -7 = 0
2x(x -7) +1(x -7) = 0 . . . . . factor pairs of terms
(2x +1)(x -7) = 0 . . . . . . . . factored form
The solutions are the values of x that make these factors zero.
2x +1 = 0 ⇒ x = -1/2
x -7 = 0 ⇒ x = 7
The solutions to the quadratic are x = -1/2 and x = 7.
Answer: 35
Step-by-step explanation:
Given : At Deb’s Deli, a customer may choose either a sandwich and a salad or a sandwich and a soup for the lunch special.
The number of choices for sandwiches = 5
The number of choices for salad = 4
The number of choices for soup = 3
Now, the number of possible lunch special combinations can be ordered will be :-
Hence, the number of possible lunch special combinations can be ordered will be 35.
Using a significance level of 0.05, the null hypothesis would be rejected for p-values less than 0.05.
<h3>What is the relation between the p-value and the conclusion of test hypothesis?</h3>
Depends on if the p-value is less or more than the significance level:
- If it is more, the null hypothesis is not rejected.
- If it is less, it is rejected.
Hence, the null hypothesis would be rejected for p-values less than 0.05.
More can be learned about hypothesis tests at brainly.com/question/16313918
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Answer: A
put x = 3 into f(x)=6x and you get f(x) = 18
Put x = 4 into f(x) and you get f(x) = 24
Subtract those two. 24 - 18 = 6
Also, f(x) = 6x it will always be 6 away from the next x you put into the equasion.
Or better said, it will be 6 more from 6x, because you are changing the x to X+1, hence,
6(x+1) = 6x + 6.
+6, it increases.
FORMULA:
Length of arc PQ = 2πrΦ/360°
ANSWER:
Using formula,
2 × 22/7 × 7 × 80/360
44 × 2/9
88/9ft or 9.7ft
