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LekaFEV [45]
4 years ago
15

How to do -x < 9 + 2x

Mathematics
1 answer:
Tanya [424]4 years ago
6 0

Answer:

x > -3

Step-by-step explanation:

-x < 9 + 2x

<em>+x           +x</em>

<em />

0 <  9 + 3x

<em>-9    -9</em>

<em />

-9 < 3x

<em>divide </em><em>all</em><em> terms by 3</em>

<em />

-3 < x

x > -3

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The graph of a quadratic function contains (4,-64) and it's vertex is at the origin.write an equation for this function.
lesya692 [45]

Answer:

Step-by-step explanation:

Not sure what form you need this in, but it really doesn't matter, as you'll see in the final equation.  I used the vertex form and solved for a:

y=a(x-h)^2+k

We are given the vertex (h, k) as the origin (0, 0), and we have a point that the graph goes through as (4, -64).  That's our x and y.  Plugging in what we have:

-64=a(4-0)^2+0 gives us

-64 = 16a and

a = -4.  That means that the quadratic equation is

y=-4x^2  which is both vertex form and standard form here, no difference.

5 0
3 years ago
You want to put $2,500 in a simple interest account. It has a 4% annual interest rate. How long will it take you to earn $200 in
Nadya [2.5K]
The formula is
I=prt
I interest earned 200
P principle 2500
R interest rate 0.04
T time ?
We need to solve for t
T=I÷pr
T=200÷(2,500×0.04)
T=2years

Hope it helps
6 0
3 years ago
Decide whether each equation is true for all, one, or no values of x. -2x + 4 = -3x + 4
saul85 [17]

Answer:

It has no value.

Step-by-step explanation:

8 0
3 years ago
(4+2-2)(2)-5<br> -3<br> 2.<br> 3
puteri [66]
The answer is -4 because 4+2 is equal to 6 and then 6-2 is equal to 4 and then times into the number of 2 the answer is 4x2 is equal to 8 and then minus into the negative 5 an the answer is -4.
5 0
3 years ago
Read 2 more answers
Figure PQRS is rotated counterclockwise
sleet_krkn [62]
I gotchu fam, a rotation is occurring and we know this because it’s rotating 180°. Figures PQRS and P’Q’R’S’ are congruent because they are the same shape and size, just in different places.
4 0
3 years ago
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