<u>w</u><u>=</u><u>-</u><u>1</u><u>.</u><u>5</u>
<u>w</u><u>=</u><u>2</u>
Answer:
Solution given:
again
keep square root alone
solve subtraction of 7-2
Squaring on both side
2w²-19w+31=5²-2*5*2w+4w²
take terms one side
2w²-19w+31-25+20w-4w²=0
-2w²+w+6=0
2w²-w-6=0
doing middle term factorisation
2w²-(4-3)w-6=0
2w²-4w+3w-6=0
take common from each two term
2w(w-2)+3(w-2)=0
(w-2)(2w+3)=0
either
w=2
or
W=-3/2=-1.5
Answer:
The inequality can be represented as:
where represents the number of weeks in which Maria will be able to buy a phone for least $200.
On solving it we get :
Step-by-step explanation:
Given:
Maria wants to buy a phone for at least $200.
She has savings of $125.
She plans to save $10 every week.
To write an inequality for the situation.
Solution:
Let the number of weeks in which Maria will be able to buy a phone be =
If she saves $10 each week.
Then, in weeks she will save in dollars =
She already has savings = $125
So her total savings in weeks in dollars will be =
She wants to buy a phone for at least $200.
Thus, the inequality can be represented as:
Solving for
Subtracting both sides by 125.
Dividing both sides by 10.
Thus Maria needs at least 7.5 weeks to be able to buy a phone for atleast $200.
Answer:
2) (-∞, 17]
Step-by-step explanation:
The leading coefficient of the function is negative, so the parabola opens downward. The vertex will be a maximum, the upper end of the range. The lower end of the range will be -∞.
The vertex of the function lies on the axis of symmetry. The maximum can be found by evaluating the function at x=-4.
y = -(-4)² -8(-4) +1 = -16 +32 +1 = 17
The range of the function is (-∞, 17].
