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bixtya [17]
3 years ago
15

Please help! thanks :)

Mathematics
1 answer:
Molodets [167]3 years ago
7 0

Answer:

118%

Step-by-step explanation:

Cora's kitten weighed in the last visit to the veterinarian's office= 550 grams

Right now, Cora's kitten weighs = 1200 grams

Increase in the kitten's weight= 1200 - 550 = 650 grams

Percent increase in weight= 650/550 * 100

= 118.18% = 118%

Hence, there is 118% increase in kitten's weight.

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Rewrite 1/2*(5/6*6) using only the associative property.
Alika [10]

Answer:

(1/2 * 5/6) * 6

Step-by-step explanation:

The associative property of multiplication states that the product of three or more numbers remains the same regardless of how the numbers are grouped.

7 0
3 years ago
Y=-3x^2-6x+24
Lera25 [3.4K]
The x-intercept is the point at which the function intersects the x-axis.
For any point on the x-axis, y = 0. Thus we can plug in 0 for y and solve for x.

y=-3x^2-6x+24 \\ 0=-3x^2-6x+24

Let's split the middle on this quadratic.
To do this we need to find two numbers that add to equal -6 and multiply to equal -72. (-3 times 24)
Consider ways to multiply to get 72.
72 = 36 ×2...that's not going to work.
72 = 24 × 3
72 = 18 × 4
72 = 12 × 6...and 12 minus 6 is 6!
Let's add our signs; our numbers are -12 and 6.
Now, split the middle and factor.

0=-3x^2-12x+6x+24\\0=-3x(x+4)+6(x+4)\\0=(-3x+6)(x+4)

Now you should know that anything multiplied by zero is zero.
So any value that makes one of those factors equal zero is an x-intercept.
Solve each of these equations.

-3x+6 = 0
-3x = -6
x = 2

x+4 = 0
x = -4

Oh, and since all parabolas (graphs of quadratics) are symmetrical, our axis of symmetry will be the average between the two, which is x=-1.

Now for our y-intercepts. For any points on the y-axis, x=0, so if we plug in 0 for x and solve for y we'll get our y-intercept.

y = -3×0² - 6×0 + 24
y = 0 - 0 + 24
y = 24

What about our vertex? Well, we know it's going to line up with the axis of symmetry, so let's just plug in -1 for x.

y = -3×-1² - 6×-1 + 24
y = -3×1 -6×-1 + 24
y = -3 + 6 + 24
y = 27

Thus the vertex is (-1, 27)

The y value is not going to exceed 27, as this is a decreasing quadratic, (we already know y=24 is a possibilty) and this equation goes downwards infinitely, so our range is (-∞, 27)

As for x, well, it's sort of the input for our equation, meaning it can be whatever we want it to be. Thus the domain is (-∞, ∞)




3 0
3 years ago
You deposit $1,500 in an account earning 2.75% simple interest. How long will it take for the
DanielleElmas [232]

Answer:

12 years if interest is paid yearly

12 months if interest is paid monthly

Step-by-step explanation:

2.75% of $1500 is $41.25 interest per period

$1995-$1500 = $495 total interest

$495 ÷ $41.25 = 12 periods

Therefore it takes 12 interest periods to reach $1995, so the answer is 12 months or 12 years depending on how often interest is paid.

3 0
3 years ago
What is the answer for this
e-lub [12.9K]

Answer:

A

Step-by-step explanation:

The green is the starting place, when you move from a point on the green triangle to the blue one, you go 5 to the left and 3 down.

8 0
3 years ago
How to convert 9hours 36 minutes to a fraction
cupoosta [38]

Answer:

Step-by-step explanation:

9*60+36= 540+ 36= 576 minutes

so it is = 576/ 60 hours

6 0
3 years ago
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