9514 1404 393
Answer:
(x, y) = (-3, -13) or (-8, -23)
Step-by-step explanation:
The values for y can be equated and the resulting quadratic solved by factoring.
2x -7 = x^2 +13x +17
0 = x^2 +11x +24 . . . . . . subtract 2x-7
0 = (x +8)(x +3) . . . . . . . .factor*
The values of x that make these factors zero are x=-8 and x=-3. The corresponding values of y are ...
y = 2(-8) -7 = -23
y = 2(-3) -7 = -13
The solutions are ...
(x, y) = (-8, -23) and (-3, -13)
_____
* The constants in the binomial factors are factors of 24 that total 11. You know that ...
24 = 1×24 = 2×12 = 3×8 = 4×6
The sums of these factors are 25, 14, 11, 10. The factors 3 and 8 are the constants in the binomial factors of the quadratic.
"24" is the constant in the quadratic. "11" is the coefficient of the x term.
Your answer would be B.
The triangles would be congruent, because the lines GH and FI are congruent and the angle H and I are the same, and since the line HI is shared by the two, it would then be SAS.
Answer:
50.757575756
Step-by-step explanation:
I put it in calculator and transformed it.
The average of the 75 customers will be 6.4.
<h3>How to calculate the value?</h3>
The first 30 customers made an average of 5 claims each. The total claims will be:
= (5 × 30) = 150
When 75 more people were assessed, the average was 6. Therefore, the total claims will be:
= (75 + 30) × 6
= 105 × 6
= 630
Therefore, the average of the 75 customers will be:
= (630 - 150)/75
= 480/75
= 6.4
Learn more about mean on:
brainly.com/question/1136789
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-- Candy takes 57 minutes to do the whole job ==>
She does 1/57 of the job every minute.
-- Tim takes 114 minute to do the whole job ==>
He does 1/114 of the job every minute.
-- If they work together, they do (1/57 + 1/114) of the job every minute.
We have to add those fractions.
The least common denominator is 114.
(1/57 + 1/114)
= (2/114 + 1/114)
= 3/114 = 1/38 .
Working together, Candy and Tim do 1/38 of the job every minute.
So it takes them 38 minutes to do the whole job together.
