I am confused on numbers 25 and 29, the instructions are at the top.

Answers

Answer 1

Answer: Pretty sure you already had something posted about this... in case you've lost it, or have questions:

#25 is fairly simple. Plug in -4 and 3 into the equation, and the extraneous root will be the one that does not work.
$√(12-(-4)) = √(16) = \frac{+}{}4$
Extraneous root in this case is positive four since +4≠-4
$√(12-3) = √(9) = \frac{+}{}3$
In this case it's negative 3, since -3≠3

#29 can be turned into a quadratic equation.
$x= √(2x+3)$
Square both sides to get
$x^(2)=2x+3$
Then bring the 2x+3 to the other side, setting the quadratic equal to zero.
$x^(2)-2x-3=0$
Factor to find that it's equivalent to
(x-3)(x+1)=0
Therefore x is equal to positive 3 and negative 1. Plug both back into the original equation. Whichever does not work is the extraneous root, and the answer is the one that does.
$x= √(2x+3)$
$3= √(2(3)+3)$
$3= √(9)$
Extraneous root would be negative 3.

$-1= √(2(-1)+3)$
$-1= √(1)$
Extraneous root would be positive 1.

Your answers are positive 3 and negative 1.
Extraneous roots are negative 3 and positive 1.

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The height of an object after it is released can be modeled by the function f(t)=-16t^2+vt+s, where t is the number of seconds after the object is released, v is the upward speed at release, and s is the starting height. If a quarterback throws a ball from his hand 6 feet in the air at a speed of 25 feet per second, how much time does his teammate have to catch the ball?about 1.45 seconds
about 1.77 seconds
about 6 seconds
about 25 seconds

Answers

Answer about 1.77 seconds.

f(t) = -16 t^2 + 25t + 6

f(t) = height.

hieght = 0 = -16t^2 + 25t + 6

Find t using the quadratic formula,

t = ( - 25 +/- √[25^2 - 4 (-16)(6)] ) / [2*(-16)]

t = [-25 +/- √ (625 + 384) ] / -32

t = [-25 +/- 31.76] / -32.

You will obtain two results one positive and one negative. Take the positive only as the other one has no physical meaning. t = 1.77 s.

B.) about 1.77 seconds

HIJK is definitely a parallelogram? True or False.

Answers

HIJK has parallel sides and also congruent opposite angles, therefore, it is TRUE that it is a parallelogram.

What are Some Properties of a Parallelogram?

In a parallelogram, the opposite angles are always congruent.

Opposite sides are equal in length and are also parallel to each other.

Quadrilateral HIJK has opposite angles that are congruent and also has sides that are parallel. Therefore, it is true that it is a parallelogram.

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Which value, when placed in the box, would result in a system of equations with infinitely many solutions?y=2x-5
2y - 4x =
10
5
10

Answers

Answer: -10

Step-by-step explanation:

Given the box plot, will the mean or the median provide a better description of the center? a. The Mean, because the data distribution is symmetrical

b. the median, because the data distribution is symmetrical.

c. the mean, because the data distribution is skewed to the right.

d. the median, because the data distribution is skewed to the right

Answers

From the given box plot we can see that there are more values towards the right end than are on the left end.

This means the data is skewed towards right. A symmetrical box plot has same number of values on both sides of the median.

Whenever we are dealing with skewed graphs, the best option to choose from mean and median is always the median. This is because due to large number of data values on the one side, the mean will always be closer to that side. Median is not largely affected in this case.

Therefore, the correct answer would be option D.
The median, because the data distribution is skewed to the right

D. Mean always goes toward the skewness due to outliers.
Median is minimally affected by outliers.

A coin is weighted so that the probability of getting heads is 0.70. If the coin is flipped twice, what is the probability of getting a tail followed by a head?

Answers

Hello,

p=3/10*7/10=21/100=0.21
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Breakfast at the local cafe costs Harry $38.70 without taxes. He wants to leave a 15 percent tip. How much should he tip?a. $4
b. $6
c. $8
d. $10

Answers

Final answer:

To calculate a 15% tip on a $38.70 meal, multiply the total cost by 15 and divide by 100, giving approximately $6. The closest option available is $6.

Explanation:

To calculate the tip that Harry should leave based on 15 percent of the total cost, we can use the formula:
Tip = Total Cost x Tip Percent/100
Where:
Total Cost = $38.70 (ignoring any taxes),
Tip Percent = 15.

Substituting these values into the formula, we find:
Tip = $38.70 x 15/100 which equals $5.805, therefore, the nearest answer to that would be option b: $6.

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