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kiruha
4 hours ago
15

jack wants to weigh at most 176 pounds before the baseball season begins. he has already lost 15 pounds. he belives he can lose

1.5 pounds a week.if jack weighed 197 pounds before his weight loss about loss about how many week will it take for jack to get to his desired weight
Mathematics
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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
1 month ago
Your job is to sort and sack marbles for sale. A bag contains 44 marbles, some red and some green. If there are 11 red marbles,
AnnZ [12381]

Response:

The correct choice is option C

The proportion of green marbles to red marbles is 3: 1

Step-by-step breakdown:

According to the problem statement:

A bag holds 44 marbles, comprising both red and green ones.

⇒Total marbles = 44

If it includes 11 red marbles.

Then;

Green marbles = Total marbles - red marbles.

By substituting the values provided,

Green marbles = 44 - 11 = 33

We are tasked with determining the ratio of green marbles to red marbles.

\frac{\text{Green marbles}}{\text{Red marbles}} = \frac{33}{11} = \frac{3}{1} = 3: 1

Consequently, the ratio of green to red marbles is 3: 1

8 0
2 months ago
What is the main reason Dylan uses the word uses the word “lonesome” to describe Hattie Carroll’s death?
lawyer [12517]

The correct answer is B. No one stood up for her

The song primarily addresses the racism prevalent in our nation. Dylan highlights that the murderer was not penalized initially; he was released on the night of the homicide due to his wealth, and during the trial, he received only a six-month term instead of a meaningful punishment. Hattie Carroll was largely overlooked in this scenario.

8 0
3 months ago
For each lettered part, a through c, examine the two given sets of numbers. without doing any calculations, decide which set has
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<span>The distribution of a data set is indicated by the standard deviation, and the range can serve as an estimate for this characteristic. Consequently, Set b (100, 140, 150, 160, 200, 10, 50, 60, 70, 110) exhibits the greatest standard deviation due to its 190 range (i.e., 200 - 10).</span>
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