Answer:
a) 
b) 
Step-by-step explanation:
<u>Part (a)</u>
Given polynomial :
The binomial that should be added to the given polynomial to get a polynomial that does not contain the variable x is:
<u>Part (b)</u>
Given polynomial :
The binomial that should be added to the given polynomial to get a polynomial that does not contain the variable y is:
Answer:
(b) distance, y=20x, 480 mi
Step-by-step explanation:
As is often the case, the only self-consistent answer choice is the correct one.
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The dependent variable is plotted on the y-axis, so is distance.
(x, y) = (2, 40) tells you y = 20x is an appropriate choice of equation.
In 24 hours, the dragonfly will fly y = 20(24) = 480 miles.
It says it clearlyit says it must include appetizers a main course dessert beverage and water
STEP 1:
identify variables and equations
x= larger number
y= smaller number
FIRST EQUATION
x + y= 42
SECOND EQUATION
y= 2x - 63
STEP 2:
substitute the y value in second equation in for y in first equation
x + y= 42
substitute y value from 2nd equation
x + (2x - 63)= 42
combine like terms
3x - 63= 42
add 63 to both sides
3x= 105
divide both sides by 3
x= 35 larger number
STEP 3:
find y value; substitute step 2 x value into either original equation
x + y= 42
35 + y= 42
subtract 35 from both sides
y= 7 smaller number
ANSWER: larger number is x= 35; smaller number is y= 7.
Hope this helps! :)
Answer:
x = -3/2, x = 4
Step-by-step explanation:
4x² - 7x = 3x + 24, first put everything on one side
4x² - 10x - 24 = 0, factor 2 out
2(2x² - 5x - 12) = 0 then factor. You need two numbers that multiply to be -24 and add to be -5, so -8 and 3 are the factors.
(2x² - 8x) + (3x - 12) group them either way and then factor out GCF
2x(x - 4) + 3(x - 4) = 0
(2x + 3)(x - 4) = 0, set each factor = 0 and solve
2x + 3 = 0, 2x = -3, x = -3/2
x - 4 = 0, x = 4
