The ratio of adult cat to kitten at a pet care center on Thursday was 4:3. There were 12 kittens there that day. Tuesday , 17 ad
1 answer:
Answer:
1 adult cat
Step-by-step explanation:
<u>Thursday:</u>
The ratio of adult cat to kitten at a pet care center on Thursday was 4:3.
Number of adult cats = 4x
Number of kitten cats = 3x
There were 12 kittens, then
There were 16 adult cats
<u>Tuesday:</u>
17 adult cats were at the pet care center.
<u>Difference:</u>
adult cat
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Answer:
x = - 2.5
Step-by-step explanation:
Given that the sketch represents
y = x² + bx + c
The graph crosses the y- axis at (0 , - 14), thus c = - 14
y = x² + bx - 14
Given the graph crosses the x- axis at (2, 0), then
0 = 2² + 2b - 14
0 = 4 + 2b - 14 = 2b - 10 ( add 10 to both sides )
10 = 2b ( divide both sides by 2 )
b = 5
y = x² + 5x - 14 ← represents the graph
let y = 0 , then
x² + 5x - 14 = 0 ← in standard form
(x + 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
The x- intercepts are x = - 7 and x = 2
The vertex lies on the axis of symmetry which is midway between the x- intercepts, thus
the x- coordinate of the turning point is =
= - 2.5