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luda_lava [24]
1 year ago
5

Please Help me to answerthe questions and options are in picture

Mathematics
1 answer:
sergejj [24]1 year ago
7 0

Evelyn has initially $524.96, then she paid $32.50, so she will have less than $500. In order to have at least $500, she needs to deposit the value x.

So the initial value, minus the value paid, plus the deposit needs to be greater than or equal 500, so we have the inequality:

524.96-32.5+x\ge500

Solving this inequality for x, we have:

\begin{gathered} 492.46+x\ge500 \\ x\ge500-492.46 \\ x\ge7.54 \end{gathered}

Therefore the correct option is the first one (a).

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Which graph represents this system of equations?<br> y + 2x = 3<br> y + 2 = 3x
andrezito [222]

Answer:

The options are not given, so i will answer in a general way.

First, we have the system:

y + 2*x = 3

y + 2 = 3*x

To graph this system, the easier way is writing both equations as linear equations, like:

y = -2*x + 3

y = 3*x - 2

Now we just need to graph these two lines in the same coordinate axis.

To do it, we can replace the value of x by two different values in each equation, and see the correspondent value of y for these values. Then graph the two points, and draw a line that connects them.

For example, for the first equation if we have x = 0, we have:

y = -2*0 + 3

y = 3

Then we have the point (0, 3)

and if x = 1

y = -2*1 + 3 = 1

y = 1

we have the point (1, 1)

Now we only need to graph these points, and draw a line that passes through them.

Once we did this for both lines, the graph we will get will look something like the one above.

And the point where the lines intersect is the solution of the system of equations.

Which is the point (1, 1)

7 0
3 years ago
|n/2 − 1/3| −1= 1/6
weqwewe [10]
1. n/2-1/3-1=1/6
n/2=1/6+1/3+1
n/2=1/6+2/6+6/6
n/2=9/6=3/2
n=3/2*2=3

check: abs(3/2-1/3)-1=1/6,    abs(9/6-2/6)-1= 1/6, 7/6-1=1/6, 1/6 =1/6 
3 is a root

2. -(n/2-1/3)-1=1/6
-n/2+1/3-1=1/6
-n/2-2/3=1/6
-n/2=1/6+2/3
-n/2=1/6+4/6
-n/2=5/6
n=-2*5/6=-5/3=-1 2/3  
check :    abs((-5/3)/2-1/3) -1=1/6
abs(-5/6-1/3) -1 =1/6,     abs(-5/6-2/6) -1=1/6, abs (-7/6)-1=1/6,  7/6-1=1/6, 1/6=1/6
so -5/3 or -1 2/3  is also root

so  two roots 3 and -5/3(that can be written as -1 2/3)

5 0
4 years ago
Write an equation in point-slope form of the line that passes through the point (2, -8) and has a slope of 4
ozzi

Answer:

Point slope: y - y1 = m(x - x1)

Plug those in

Solution: y + 8 = 4(x - 2)

Step-by-step explanation:

3 0
2 years ago
What is the standard form of (x + 1 + i)(x + 1 − i)
lbvjy [14]

Answer:

hope it helps

Step-by-step explanation:

please mark me as brainliest thank you

5 0
3 years ago
Use distributive property to create an equivalent expression to 7x+56
Alexeev081 [22]
The answer should be 7(x+8)
6 0
4 years ago
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