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luda_lava [24]
10 months ago
5

Please Help me to answerthe questions and options are in picture

Mathematics
1 answer:
sergejj [24]10 months 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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What is x in 2c-3=12-2c+7c
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Answer:

c=-5

Step-by-step explanation:

2c-3=12-2c+7c

2c-3=12+5c

2c-5c-3=12

-3c-3=12

-3c=12+3

-3c=15

c=15/-3

c=-5

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Step-by-step explanation: took the test!!

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50 POINTS AND WILL MARK BRAINLIEST NEED HELP ASAP
trasher [3.6K]

Answer:

Please see attached image and all steps below for both parts

Step-by-step explanation:

Task 1

The following system of equations includes a linear equation and a quadratic one:

\left \{ {{y=x+2} \atop {y=x^2-8x+2}} \right} \}

it can be solved by using substitution in the second equation of the variable "y" by the linear expression of the first equation:

x+2=x^2-8x+2\\x=x^2-8x\\x^2-9x=0\\x\,(x-9)=0

and this product of two factors will e zero when either factor is zero, that is: when x = 0, or when x = 9 [to make zero the binomial(x - 9)]

There are two solutions: x = 0 and x = 9.

When we graph both expressions in the system, we see that the line intercepts the parabola at the points (0, 2) and (9, 11). See attached image.

Task 2

Part 1:

Let's pick 30 as a number larger than 25. 30 can be written as 40 - 10

So we can use:

(40 -10)^2=40^2-2\,(40)\,(10)+ 10^2=1600-800+100=900

to calculate its square.

Part 2:

let's choose a=9 and b=10 so we use:

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