Given the system of the following two linear equations:

Sole for |p+8| over 2 =5

Lubov Fominskaja [6]

Answer:

p =2 p=-18

Step-by-step explanation:

|p+8|

-------------- = 5

2

Multiply each side by 2

|p+8|

-------------*2 = 5*2

2

|p+8| =10

There is a positive and a negative solution

p+8=10 p+8=-10

Subtract 8 from each side

p+8-8=10-8 p+8-8=-10-8

p =2 p=-18

7 0

3 years ago

Which statement is true about the extreme value of the given quadratic equation? y = -3x2 + 12x − 33

Zina [86]

Answer:

The equation has a maximum value with a y-coordinate of -21.

Step-by-step explanation:

Given

$y =-3x^2 + 12x - 33$

Required

The true statement about the extreme value

First, write out the leading coefficient

$Leading = -3$

$-3 < 0$ means that the function would be a downward parabola;

Downward parabola always have their vertex on top of the parabola and as such, the function has a maximum value.

The maximum value is:

$x = -\frac{b}{2a}$

Where:

$a= -3; b =12; c =-33$

So, we have:

$x = -\frac{12}{2 * -3}$

$x = -\frac{12}{-6}$

$x =2$

Substitute $x =2$ in $y =-3x^2 + 12x - 33$

$y = -3*2^2 + 12 * 2 - 33$

$y = -21$

<em>Hence, the maximum is -21.</em>

8 0

3 years ago

You purchase a car in 2010 for $25,000. The value of the car decreases by 14% annually. What would the value of the car be in 20

Fed [463]

Answer: -$6,500

Step-by-step explanation:

Here we could , use the arithmetic progression where

T(2020 - 2010) = a + ( n - 1 )d

T10 = a + ( 10 - 1 )d --------------- 1

a = $25,000, n = 10 and d = 14% of $25,000 = $3,500 the common difference.

Note since it decreases the common difference d = -$3,500.

Now substitute for the values in the equation above.

T10 = 25,000 + 9 x -3,500

= $25,000 - $31,500

= -$6,500 (deficit )

4 0

3 years ago

Which correlation should be used to measure the relationship between gender and grade point average for a group of college stude

Alecsey [184]

I believe the correct answer would be A. The best correlation to use to measure the relationship between gender and grade point average for a group of college students would be the point-biserial correlation. It is coefficient that is used when a variable is dichotomous or that the variable is part of a whole set. It is used in measuring the direction of the correlation that is present between a dichotomous variable and a continuous variable. From the question, the dichotomous variable would be the grade point average for a group of college students while the other variable is the continuous one.

4 0

3 years ago

Read 2 more answers

100 grams/day of substance x is filtered, 50 grams/day is reabsorbed, 75 grams/day is secreted and 125 grams/day is excreted. su

Ivan

100 grams/day of substance x is filtered, 50 grams/day is reabsorbed, 75 grams/day is secreted and 125 grams/day is excreted. substance x is undergoing in the nephron net secretion and would have a clearance value that is greater than GFR

The formula for calculating clearance is Cx is given in terms of volume per time, where Ax is the quantity of x removed from the plasma, Px is the average plasma concentration, and Cx = Ax /Px.

Ax= 125 grams/day

and Px= 50 grams/day

Cx= 125/ 50

Cx= 2.5 grams/day

Therefore, the creatinine clearance overestimates GFR more severely in patients with a very low GFR than in those with higher GFR values. For a patient with a very low GFR, the secreted component is a relatively larger fraction of the total amount excreted.

Creatinine clearance remains the most popular method for routinely assessing patient GFR and the integrity of renal filtration, despite its low cost and convenience.

For more information on clearance kindly visit to

brainly.com/question/29461581

#SPJ4

Complete question :

Patient was experiencing respiratory acidosis (the increased hydrogen ion concentration was predominantly activating his peripheral chemoreceptors). 100 grams/day of substance X is filtered, 50 grams/day is reabsorbed, 75 grams/day is secreted and 125 grams/day is excreted. Substance X is undergoing ___________ in the nephron and would have a clearance value that is _________.(choose one)

A)net reabsorption, less than GFR

B)net secretion, greater than GFR

C)neither net reabsorption nor net secretion, equal to GFR

D)net reabsorption, greater than GFR

E) net secretion, less than GFR

3 0

1 year ago