2z² + z + C = A (z + 1)² + B (z + 1) + 4
Expand the right side completely and collect terms with the same power of z :
2z² + z + C = A (z² + 2z + 1) + B (z + 1) + 4
2z² + z + C = Az² + 2Az + A + Bz + B + 4
2z² + z + C = Az² + (2A + B)z + A + B + 4
Now match up terms on either side that have the same power of z. This gives
2 = A ................. (2nd power)
1 = 2A + B ......... (1st power)
C = A + B + 4 .... (0th power)
Solve for A, B, and C. The first equation gives A = 2 right away, so in the second equation we get
1 = 2*2 + B
B = -3
and in the third equation we get
C = 2 + (-3) + 4
C = 3
Pls help i dont understand :( will give Brainliest + 25 Points
Answer:
D
Step-by-step explanation:
Find the slope using the formula [ y2-y1/x2-x1 ]
2-2/-5-3
0/-8
0
Find the y-intercept using slope-intercept form [ y = mx + b ] and (3, 2)
y = 0x + b
2 = 0(3) + b
2 = b
Put everything we know into the final form.
y = 0x + 2
y = 2
Best of Luck!
change in y/change in x
y2-y1/x2-x1
2-2/-5-3
0/-8 = 0
The slope is 0 - the answer is d
because when 0x = 0, then you are left with y and only y
when the equation is x=, then the equation is undefined
but, when an equation is y=, that the slope is 0
Find the product, using suitable properties:
437 * (-45) + (- 437) × 55
What is the relationship between the constant propprtionality of 50 and 0.02
Answer:
Inverse Proportionality
Step-by-step explanation:
Given
Constants 50 and 0.02
Required
Determine the relationship
Let y = 0.02
Convert 0.02 to fraction
y = 2/100
Simplify to lowest form
y = 1/50
Recall that y = 0.02
0.02 = 1/50
From the above expression, we can conclude that the relationship between both is inverse.
In other words, 50 and 0.02 are inversely proportional
Please help what is -0.5 divided by -1/5
17. Create an equation that requires distribution on both sides to solve and has a solution of -2.
Answer:
googl really helps sorry
Find the slope of the line that is perpendicular to the graph of the equation y-4x=1
Answer:
y=-1/4x+1
Step-by-step explanation:
what is the area of a rectangles with the side lengths 5 inches and 4/3 inches?
Answer: 20/3 square inches
Step-by-step explanation:
Area = length*width
length = 5 in.
width = 4/3 in.
A = 5 * (4/3) = 20/3 in^2
Line a is parallel to line t solve for x
Answer:
Sorry dude, I need more context. Can you write out the full equation if there's more? Sorry.
Step-by-step explanation:
Solve.
x^2 + 4 = 0.
Answer:
No real solutions
Step-by-step explanation:
You use the quadratic formula.
x = −b ± √(b^2 − 4ac)/2a where y = ax^2 + bx + c
b is 0, a is 1, and c is 4.
-0 ± √(0^2 − 4 x 1 x 4)/ 2(1)
±√(-16)/2
Split √(-16) into √(16) and √(-1).
Now, i = √-1
So you get ±√(-16) = ±4i.
The original equation was ±√(-16)/2.
±4i / 2 = ±2i
The answer is x = ±2i
(Note: ± means positive or negative)
-5x + 9 = -3x + 1 solve the equation
Answer:
x=4
Step-by-step explanation:
Step 1: Add 3x to both sides.
−5x+9+3x=−3x+1+3x
−2x+9=1
Step 2: Subtract 9 from both sides.
−2x+9−9=1−9
−2x=−8
Step 3: Divide both sides by -2.
−2x/−2=−8/−2
Jane rented a movie. She started the movie at 11:42 PM, and it was 2 hours 47 minutes long. When did the movie end?
The variables y and x have a proportional relationship, and y = 25 when x = 60.
What is the value of x when y = 30?
A. x = 25
B. x = 36
C. x = 50
D. X= 72
Answer:
A
Step-by-step explanation:
A. x = 25
3(2h + 7) = 4(9 – h)
Answer:
h=−2
Step-by-step explanation:
Simplify the expression given below x^2 + x-2
1) Two pieces of a pole arle cut into 5 inches each from an original pole that was 20 inches
long. What is the length of the remaining part of the 20 inch pole?
HELP Please
Answer:
it is 10 because 5x2= 10and20-10=10
whats 8 more than the product of X and 8
Answer:
8X +8
Step-by-step explanation:
You never scale down to write a complex rate as a unit rate. True or false?
Answer:
True
Step-by-step explanation:
We should use simple units while doing any type of calculation, using simple units make it easy for other people to kn ow the calculation, on the contrary if we use complex units then it will make the calculation more complicated thereby increasing the chances of mistake.
what is 6 1/4 divided by 6 1/2?
multiple and divide signed numbers
Answer:
Step-by-step explanation:
Multiply answer = - 106
Divide answer = 1.25
Ava read an article claiming that 10% of people in her county were senior citizens, and she wondered if this held true for residents in her city. She took a random sample of 225 people from her city to test H0 : p = 0.10, where p is the proportion of people in her city that are senior citizens. Ava found that approximately 14% of those sampled were senior citizens. She conducted an appropriate significance test, and the resulting test statistic was z ≈ 1.89z. Assume that the conditions for inference were met.
Complete Question
Ava read an article claiming that 10% of people in her county were senior citizens, and she wondered if this held true for residents in her city. She took a random sample of 225 people from her city to test H0 : p = 0.10, where p is the proportion of people in her city that are senior citizens. Ava found that approximately 14% of those sampled were senior citizens. She conducted an appropriate significance test, and the resulting test statistic was z ≈ 1.89 z. Assume that the conditions for inference were met.calculate the p-value for Ellie's significance test
Answer:
The p-value is [tex]p-value = 0.0588[/tex]
Step-by-step explanation:
From the question we are told that
The percentage of senior citizens is p = 0.10
The sample size is [tex]n = 225[/tex]
The sample proportion is [tex]\^{p} = 0.14[/tex]
The test statistics is [tex] z \approx = 1.89[/tex]
The null hypothesis is [tex]H_o : p = 0.10[/tex]
The alternative hypothesis is [tex]H_a : p \ne 0.10[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z > 1.89 )[/tex]
From the z-table
[tex]P(Z > 1.89 ) = 0.029379[/tex]
=> [tex]p-value = 2 * 0.029379[/tex]
=> [tex]p-value = 0.0588[/tex]
Answer:
No because 0.06>0.05
Step-by-step explanation:
kahn
Use partial quotients to divide. Show your work.
)
___ group(s) of
___ group(s) of
___ group(s) of
0
Add the partial quotients.
I need more information on what I'm meant to be doing so I can help you because I don't understand the question after I re-read it over and over again.
20 points
A parallelogram has one pair of parallel sides.
True or false
If a quadrilateral is a rectangle then it is also a square. *
True or False
A parallelogram always has four congruent sides.
True or False
If a quadrilateral is a square then it is also a rectangle. *
True or False
If a quadrilateral is a trapezoid then it is also a parallelogram.
True or False
Answer: true
Step-by-step explanation:
Step-by-step explanation:
"A parallelogram has one pair of parallel sides."
False. A parallelogram has two pairs of parallel sides.
"If a quadrilateral is a rectangle then it is also a square."
False. A rectangle isn't necessarily a square. Rectangles are only squares when all four sides are equal.
"A parallelogram always has four congruent sides."
False. Parallelograms have two pairs of congruent sides. All four sides aren't necessarily congruent.
"If a quadrilateral is a square then it is also a rectangle."
True. All squares are rectangles.
"If a quadrilateral is a trapezoid then it is also a parallelogram."
False. Trapezoids have only 1 pair of parallel sides, and parallelograms have 2 pairs of parallel sides.
What value of x is in the solution set of 8x-6 > 12 + 2x?
3
5
what is 7 - 4 = 5x - 13
Answer:
x=16/5
Step-by-step explanation:
7-4=5x-13
3=5x-13
+13. +13
16=5x
16/5 = x
Brenda has to remote controlled race cars painted red and blue. The red car travel 38 feet in two seconds. The blue car traveled 54 feet in four seconds. Which car was faster and by how much
how many inconsiderate people take up space in this world?
Answer:
Too many :(
Step-by-step explanation:
Its life u know
can i pls have brainliest
Answer:
that number is probably too high to count, don't ya think
Mrs. Simon is teaching a 5th grade class. She is standing 6 meters in front of Britney. Lisa is sitting to Britney's right. If Lisa and Mrs. Simon are 10 meters apart, how far apart are Britney and Lisa?
Answer:
they are 4 meters apart from each other i think im not so sure
Can a decimal that has repeating digits after the decimal point be converted into a fraction?
Answer:
yes, because you need to convert the repeating number into a decimal. In this case, you can assume that x is the fraction form of 0.7 repeating.
Answer:
yes I think so ...................
Which of the following statement is false? 8 < 8 2>8 2<8 2<8 2<8
Answer:
8<8
2>8
Step-by-step explanation:
yw:))
If you double 4 and if you double 1/2 then add 1, add 8 +1
Answer:
19?
Step-by-step explanation:
double of 4 is 8, double of 1/2 is 1 and adding them all together is 19