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pochemuha
3 years ago
5

MaryJo decided to solve the equation 3x-2= -x-6 by entering each of the expressions into her graphing calculator. To solve the e

quation as a system, she entered y1= 3x-2 and y2= -x-6. When she used the calculator to find the intersection, she found x= -1 and y= -5. Show the work to check to see if MaryJo found the correct solution for x to the linear equation.
Mathematics
1 answer:
miss Akunina [59]3 years ago
3 0
Note that the problem states that you only need to check the solution she got for x...so we don't have to worry about y in this case. (YAY)

To verify MaryJo's answer, simply solve the equation for x:

3x - 2 = -x - 6
3x (+ x) - 2 = -x (+ x) - 6
4x - 2 = -6
4x - 2 (+ 2) = -6 (+ 2)
4x = -4
4x/4 = -4/4
x = -1

Since this conforms to MaryJo's answer, she did indeed find the correct solution for x.

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Does this table represent a function? Why or why not?
artcher [175]

Answer:

NO. B is the answer

Step-by-step explanation:

because there are two of the same x values, causing there to <u>not</u> form a straight line.

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5 0
2 years ago
What is the output of the expression 14/3<br>​
hram777 [196]

I did

14/3=4 2/3

so the final answer is 4 and 2/3

8 0
3 years ago
Complete parts (a) and (b) using the probability distribution below.
katen-ka-za [31]
Μ = (0×0.026) + (1×0.072) +(2×0.152) + (3×0.303) + (4×0.215) + (5×0.164) + (6×0.066) 
μ = 0 + 0.072 + 0.304 + 0.909 + 0.86 + 0.82 + 0.396
μ = 3.361 ≈ 3.4

We need the value of ∑X² to work out the variance
∑X² = (0²×0.026) + (1²×0.072) + (2²×0.152) + (3²×0.303) + (4²×0.215) + (5²×0.164) + (6²×0.066)
∑X² = 0+0.072+0.608+2.727+3.44+4.1+2.376
∑X² = 13.323

Variance = ∑X² - μ²
Variance  = 13.323 - (3.4)² = 1.763 ≈ 2

Standard Deviation = √Variance = √1.8 = 1.3416... ≈ 1.4

The correct answer related to the value of mean and standard deviation is the option D
<span>
An employee works an average of 3.4 overtime hours per week with a standard deviation of approximately 1.4 hours.</span>
7 0
3 years ago
Answer this pleaseee !!
photoshop1234 [79]

Answer:

D.

Step-by-step explanation:

m<F = m<B - Corresponding Angles Theorem

m<B + m<A = 180 - Adjacent Angles Theorem

180 - 105 = m<A

75 = m<A; therefore, m<A = 75.

6 0
3 years ago
Read 2 more answers
Lottie buys a pack of 50 cans of lemonade.
malfutka [58]

Answer:

£15.7

Step-by-step explanation:

32 cans x 50P = 1600p

1600p to Pounds = £26.66 (1600 divided by 60)

Remaining cans = 18 (50 - 32)

18 cans x 20p = 360p

360p to Pounds = £6 (360 divided by 60)

£26.66 + £6 = £32.66

£32.66 (Profit) - £17 (Cost of cans) = £15.66

15.66 to 3SF = 15.7

3 0
2 years ago
Read 2 more answers
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