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Nutka1998
3 months ago
8

Greg teaches an art class. The table below shows how many drawings his students had

Mathematics
1 answer:
lawyer [12.5K]3 months ago
4 0

Answer: The mean absolute deviation for the table's data is 10. If the extra drawings belong to Amy, the MAD will decrease. Conversely, if they belong to Emily, the MAD will increase. The impact on the new data set’s MAD is contingent upon whether Amy or Emily is responsible for the additional drawings. Hence, Greg is mistaken.

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What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0? Use u substitution and the quadratic formula to solve.
lawyer [12517]

Answer:

x=-2.38

x=-4.62


Step-by-step explanation:

The question is (2x+3)^2+8(2x+3)+11=0

We let u=2x+3, so the equation becomes:

u^2+8u+11=0

Where a=1, b=8, c=11


By applying the quadratic formula, we arrive at:

Quadratic formula: \frac{-b+-\sqrt{b^2-4ac} }{2a}

Substituting yields: \frac{-8+-\sqrt{(8)^2-4(1)(11)} }{2(1)}\\=\frac{-8+-\sqrt{20} }{2}\\=\frac{-8+-2\sqrt{5} }{2}\\=-4+\sqrt{5}, -4-\sqrt{5} }

We let u=2x+3, thus x calculates to:

u=2x+3\\(-4+\sqrt{5})=2x+3\\x=\frac{-7+\sqrt{5}}{2}=-2.38

and

u=2x+3\\(-4-\sqrt{5})=2x+3\\x=\frac{-7-\sqrt{5}}{2}=-4.62


The solutions to the equation are x=-2.38 (rounded to 2 decimal places) and x=-4.62 (rounded to 2 decimal places)

6 0
2 months ago
In a state where tax is 5%, Jane bought a telescope and paid $4.55 in tax. What is the price of the telescope?
tester [12383]
The telescope’s cost is $91

4.55 divided by 5% (0.05) equals 91.
7 0
2 months ago
Read 2 more answers
the total reimbursement (in dollars) for driving a company car m miles can be modeled by the function f(x) = 0.45m +5. After a p
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The y-intercept is now 12.5, and the slope has increased to 0.5625. After the policy adjustment, an additional $5 was included, followed by multiplying the total amount by 1.25.
8 0
1 month ago
60 more than nine times a number is the same as two less than 10 times the number what is the number
PIT_PIT [12445]

Let's tackle your equation step-by-step.

9x+60=10x−2

Step 1: Subtract 10x from each side.

9x+60−10x=10x−2−10x

−x+60=−2

Step 2: Subtract 60 from each side.

−x+60−60=−2−60

−x=−62

Step 3: Divide both sides by -1.

−x /−1 = −62 /−1

x=62

I hope this was helpful! Please consider giving me Brainliest!!

4 0
3 months ago
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