To solve this equation , we need to write it in quadratic form
To get the equation in quadratic form we replace x^2 with u
can be written as
, Replace u for x^2
So equation becomes
Now we factor the left hand side
-16 and -1 are the two factors whose product is +16 and sum is -17
(u-16) (u-1) = 0
u -16 = 0 so u=16
u-1 =0 so u=1
WE assume u = x^2, Now we replace u with x^2
Now take square root on both sides , x= +4 and x=-4
Now take square root on both sides , x= +1 and x=-1
So zeros of the function are -4, -1, 1, 4
Answer:
There are 16 cups of spice mix will made by the recipe.
Step-by-step explanation:
Given,
Number of cups of salt = 8
Number of cups of grounded black pepper = 6
Number of cups of garlic powder = 2
We have to find out number of cups of spice mix made by recipe.
Solution,
The total number of cups of spice mix is the sum of amount of salt, amount of grounded black pepper and amount of garlic powder.
So the equation can be framed as;
Total number of cups of spice mix = 
Hence There are 16 cups of spice mix will made by the recipe.
Answer:
y = - 4(x + 3)² + 7
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
From the graph (h, k ) = (- 3, 7 ), thus
y = a(x + 3)² + 7
To find a we require a point on the graph other than the vertex
Using (- 2, 3) , substitute into the equation
3 = a(- 2 + 3)² + 7
3 = a + 7 ( subtract 7 from both sides )
a = - 4
Thus
y = - 4(x + 3)² + 7 ← in vertex form
Answer:1.) 6/52
Step-by-step explanation:
Answer:
C) x ≥ 11 or x ≤ -3
Explanation:
Given following: |x − 4| ≥ 7
Apply absolute rule: If |u| ≥ 0 then u ≤ -a, u ≥ a
Solving stepwise:
⇒ x - 4 ≤ -7, x - 4 ≥ 7
<u>change sides</u>
⇒ x ≤ -7 + 4, x ≥ 7 + 4
<u>add/subtract integers</u>
⇒ x ≤ -3, x ≥ 11
