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tangare [24]
2 years ago
11

Find the Unit Rate: Twenty emails in 5 minutes.

Mathematics
1 answer:
sergey [27]2 years ago
7 0

Answer:

4 emails per minute

Step-by-step explanation:

20/5=4

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Can someone please help me with this?
maksim [4K]

Answer:

It would be 30 bc that are the same size on both side

8 0
2 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
48/50 - 20/25 please Answer this ASAP please
Anuta_ua [19.1K]

Answer:

0.16

Step-by-step explanation:

4 0
2 years ago
The length of a lap is 20 meters. if lisa wants to swim 800 meters this week how many laps must she swim
marishachu [46]
40 laps/////////////
5 0
3 years ago
Kelsey can buy 2 pounds of apples for 7$. Write an equation to represent the cost, c, for a, pounds of apples.
zmey [24]

\huge\boxed{c=3.5a}

First, we need to find how much a single pound of apples costs.

Do this by dividing.

\frac{\$7}{2\ \text{lbs.}}\div\frac{2}{2}=\frac{\$(7\div 2)}{(2\div 2)\ \text{lbs.}} = \frac{\boxed{\$3.50}}{1\ \text{lb.}}

Now, write an equation.

\large\boxed{c=3.5a}

This represents that the cost equals 3.5 times the number of apples.

8 0
3 years ago
Read 2 more answers
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