Answer:
3. 0.594. 4. 0.568. 1. 0.532. 2. 0.332
Answer:
11 hours
Step-by-step explanation:
Using an inequality, find how many additional hours must she work in order to reach this goal?
From the above question, the term at least means less than or equal to and it is represented by the inequality = ≤
Hence,
Let the number of additional hours = h
Last summer Myrtle, worked 45 hours and earned $443.70.
The amount she earned per hour = $443.70/45
= $9.86
Our inequality equation is written as;
She wanted to make at least $550 this summer.
$9.86 × h ≤ $550
= 9.86h ≤ 550
h = 550/9.86
h = 55.780933063 hours
Approximately the additional hours she has to work =
55.780933063 - 45 hours
= 10 .780933063 hours
Approximately = 11 hours
Answer:
(k + 7) • (k - 6)
Step-by-step explanation:
Final result :
(k + 7) • (k - 6)
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "k2" was replaced by "k^2".
Step by step solution :
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring k2+k-42
The first term is, k2 its coefficient is 1 .
The middle term is, +k its coefficient is 1 .
The last term, "the constant", is -42
Step-1 : Multiply the coefficient of the first term by the constant 1 • -42 = -42
Step-2 : Find two factors of -42 whose sum equals the coefficient of the middle term, which is 1 .
-42 + 1 = -41
-21 + 2 = -19
-14 + 3 = -11
-7 + 6 = -1
-6 + 7 = 1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 7
k2 - 6k + 7k - 42
Step-4 : Add up the first 2 terms, pulling out like factors :
k • (k-6)
Add up the last 2 terms, pulling out common factors :
7 • (k-6)
Step-5 : Add up the four terms of step 4 :
(k+7) • (k-6)
Which is the desired factorization
Final result :
(k + 7) • (k - 6)
Answer:
Here is a diagram I made that shows all of the angles of the letters. (By to the way, letters I, C, and S don't have any angles, so I didn't include them.)
Step-by-step explanation: