Answers
Answer:
[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]
Step-by-step explanation:
The standard form of trinomial is given as:
[tex]ax^2+bx+c[/tex]
And the factored form is:
[tex](px+r)(qx+s)[/tex]
In order to find the values of a,b and c in terms of p,q,r and s we will take the factored form, multiply it and then compare it with the standard form.
So,
[tex](px+r)(qx+s)\\=px(qx+s)+r(qx+s)\\= pqx^2+psx+qrx+rs\\= pqx^2+(ps+qr)x+rs[/tex]
Now comparing it with the standard form of trinomial
We will compare the co-efficients of x^2, x and the constant
By comparing, we get
[tex]a = pq = p*q\\b = ps+qr = (p*s)+(q*r)\\c = rs = r*s[/tex]
Hence,
[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]
Related Questions
You were billed $28.50 for additional data usage on your cell phone at a rate of $9 per gigabyte. Three choices are correct ways to calculate the additional gigabytes, g, that you used. Which choice is NOT?
Answers
Answer:
b.) 9/g = 28.5
Step-by-step explanation:
a.) 9g = 28.5
b.) 9/g = 28.5
c.) 28.5 = 9 x g
d.) 28.5/9 = g
Total billing = $28.50
Rate = $9 per gigabyte
Calculate the additional gigabytes, g, that you used.
Additional gigabyte used, g = Total billing / Rate
g = $28.50 / $9
9g = 28.50
28.50 = 9 × g
g = 28.50 / 9
Option b.) 9/g = 28.5 is the incorrect way to calculate the additional gigabytes, g, that you used.
Answer:
9/g = 28.5
Step-by-step explanation:
It's attached to the image to show proof it's right
Mr. Jordan plans to leave the total of his savings to his four children. If they all are to receive the same amount of inheritance and the total savings that he has is $501,052.40, how much will each of them receive?
Answers
Answer:
$125,263.10
Step-by-step explanation:
In order to calculate the total amount that each one of the children will receive we simply need to divide Mr. Jordan's total savings by the total amount of children that he has. This will evenly divide his savings to the children so that each one has the exact same amount.
501,052.40 / 4 = 125,263.10
Therefore, each of the four children will receive a grand total of $125,263.10
The triangle and the trapezoid share a 15-inch base and a height of 10 inches. A. The area of the trapezoid is less than twice the area of the triangle. Find the values of x. Explain your reasoning.
Answers
Answer:
Possible values of x are whole numbers that are lesser than 15 inches
Step-by-step explanation:
We are given;
Base; b = 15 inches
Height; h = 10 inches
Formula for area of triangle is;
A_tria = ½bh
A_tria = ½ × 15 × 10
A_tria = 75 Sq.in
Now, formula for trapezoid is;
A_trapez = ½(a + b)h
Where a is the side parallel to the base.
We are told that the area of the trapezoid is less than twice the area of the triangle.
Thus;
½(a + 15)10 < 2(75)
Simplifying;
5(a + 15) < 150
Divide both sides by 5 to get;
a + 15 < 150/5
a + 15 < 30
Subtract 15 from both sides to get;
a < 30 - 15
a < 15
Possible values of x are whole numbers that are lesser than 15 inches
What is the remainder when 4x3+8x−32 is divided by x+10?
Answers
-3v-2=-2-8v+5v How many solutions? Will mark brainlest
Answers
Answer:
infinite solutions
Step-by-step explanation:
-3v-2=-2-8v+5v
Combine like terms
-3v-2 = -2 -3v
Add 3v to each side
-3v-2+3v = -2 -3v+3v
-2 = -2
Since this is always a true statement, there are infinite solutions
algebraic expression for 15 8/9 less than the product of 5 and a number b
Answers
Answer:
[tex]15\frac{8}{9}[/tex] < 5b
Step-by-step explanation:
15 8/9 less than the product of 5 and a number b
Product of 5 and a number b;
5 x b = 5b
Now,
[tex]15\frac{8}{9}[/tex] less than
[tex]15\frac{8}{9}[/tex] < 5b
The algebraic expression is [tex]15\frac{8}{9}[/tex] < 5b
When a number is less than another, the other number is greater.
HELP ASAP I HAVE TO GET IT DONE!!
Solve for x in the diagram below
Answers
the equation y-7/2=1/2(x-4) is weitteb in point-slope form. what is the intercept of the equation? PLEASE HELP
Answers
Answer:
1/2 is the answer.......
BRAINIEST, THANKS, AND 5 STAR RATING what is the equation of the line in slope intercept form?
Answers
Answer:
y = -300x
Step-by-step explanation:
The y-intercept passes through 0, in this case, we don't have to include the y intercept to the equation. The slope is -300, or vertical/horizontal (rise/run, the formula for finding slope <<) We just include the slope if there is no y intercept. So, y = -300x is the equation!
12 1/2 of 32=
please answer
Answers
Answer:
400
Step-by-step explanation:
Answer:
400
Step-by-step explanation:
Complete the table. Write each as a fraction, decimal, and percent. Fraction Decimal Percent 3% % 1.5 1% 13 20 2. 3 %
Answers
Answer:
Step-by-step explanation:
3% in a decimal is 0.03.
Need help anyone know how to do this
Answers
0/2 = 0
Y Coordinate: (b + b)/2
2b/2 = b
Midpoint: (calculated x, calculated y)
In this case, the midpoint should be (0, b)
Evaluate the expression below if x = -2, y=3, and z= -4
8xy
Answers
Answer:64
Step-by-step explanation:8(-2)(-4)
64
Factor −3 out of −27a−12.
Answers
Answer:
-3(9a + 4)
Step-by-step explanation:
Factor −3 out of −27a−12.... basically divide each term by -3
-3(9a + 4)... please check if by multiplying -3 you still get (-27a - 12)
What are the two methods of finding unit rate
Answers
Answer:
The Packing Cube method and something else I cant remember it.
Step-by-step explanation:
Find the slope of a line parallel to each given line.
y= -1/4x -4
pls help asap
Answers
Answer:
Slope is -1/4 or -.25
Step-by-step explanation:
y=mx+b
slope is "m" and always has to be infront of x.
3(x + 1) = -2(x - 1) - 4
Answers
Answer:
x = -1Step-by-step explanation:
1. Distribute
3x + 3 = -2x + 2 - 4
2. Simplify
-2x + 2 - 4
2-4 = -2
-2x - 2
3. Solve
3x + 3 = -2x - 2
+2x +2x
4. Cont. Solving
5x + 3 = -2
-3 -3
5x = -5
5. Divide by 5
5x = -5
/5 /5
x = -1Hope this helped,
Kavitha Banarjee
Solve for y 4x+5y=20
Answers
Answer:
y = (20-4x)/5
Step-by-step explanation:
5y = 20 - 4x
y = (20-4x)/5
Someone help me with this please !!!!!:(
Answers
Answer:
8.1.
Step-by-step explanation:
a^2+b^2=c^2
8^2+2^2=c^2
64+4
68
and you square root it and get 8.2 so i giras is 8.1
hope it helps.
After school, Maya and Naomi headed to the beach, 6 miles away. Maya decided to bike while Naomi took a bus. The graph below shows their journeys, indicating the time and distance traveled. What was the difference, in miles per hour, between Naomi's and Maya's average speeds?
Answers
Answer:
20
Step-by-step explanation:
hello just grinding
please help
Hello,
I will mark brainliest to the one who answers
my question right and who does not copy what
someone else answered No cussing and
or Inappropriate words to get marked brainliest
Thanks,
brownarietta8
P.s please tell me if my screen looks pink
Answers
Answer:
1. subtract 9 from z- z-9
2. add 9 and z - z+9
3. divide 9 by z - 9/z
4. multiply 9 by z - 9z
Step-by-step explanation:
Your welcome!
Brainliest Appreciated!
Answer:
Subtract 9 from z z-9
Add 9 and z 9+ z
divide 9 by z 9/z
multiply 9 by z 9z
P.S you screen is not pink
Step-by-step explanation:
The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). After translation, R' is the point (–11, –11). Find the translation rule and coordinates of U'.
Answers
Answer:
The original coordinate of
R is (-5, -5)
The new coordinate of
R is (-11, -11)
The translation rule is ( x - 6, y - 6)
The original coordinate of
U is (-5, 1)
The new coordinate of
U is (-5 - 6, 1 - 6)
which is
(-11, -5)
U' = (-11, -5)
Answer:
(x, y) --> (x – 6, y – 6); (–11, –5)
Step-by-step explanation:
Subtract 6 from both the x and y coordinates of U to get (-11, -5).
20 POINTS!!
(Also explain the reasoning you used to find the expression)
ILL MARK BRAINLIEST
Answers
Answer: your answer is 400 yd's and please pick me for brainliest
Step-by-step explanation:
40 × 10 = 400
9514 1404 393
Answer:
6x^2 +64x yd²
Step-by-step explanation:
The total horizontal width is ...
w = (x -2) +(3x) = 4x -2 . . . yards
So, the width of the downward-extending leg at right is ...
(4x -2) -(2x -2) = 2x
The total vertical height is ...
10 yds + 40 yds = 50 yds
So, the height of the downward-extending leg at right is ...
50 -3x . . . yards
__
Then the empty rectangle at upper right has an area of ...
A = LW = (3x yds)(10 yds) = 30x yd²
and the empty rectangle at lower left has an area of ...
A = LW = (2x -2 yds)(50 -3x yds) = -6x^2 +106x -100 yd²
__
The total area is the product of overall width and overall height, less the areas of the two empty rectangles:
A = (4x -2 yds)(50 yds) -30x yd² -(-6x^2 +106x -100) yd²
A = 6x^2 +64x yd² . . . . . area of the proposed parking lot
❗️URGENT NEED ASAP❗️
Given functions,
f(x) = -5x – 14 g(x) = -02 + 9x - 1
find f(9) + g(-2)
Answers
Answer:
Step-by-step explanation:
❗️URGENT NEED ASAP❗️
Given functions,
f(x) = -5x – 14 g(x) = -02 + 9x - 1
find f(9) + g(-2)
Answer:
Functions! Nice.
Step-by-step explanation:
This is a pretty simple concept.
What it wants you to do is to input those values inside the parentheses(9 or -2) into those equations for x. Then, you will have to add those values that you get.
If you didn't understand, watch and learn!
[tex]for x=9\\f(9)=-5(9)-14\\f(9)=-59\\[/tex]
Now try to do that for the second equation, but this time, have x as -2.
(I also can't solve the last one because I can't make sense of the equation. What is 02?)
Stay Safe!
P.S. When you find the answer to that second one, just add it to the first answer, and you'll get the final answer.
please help me with this, thank you so much!!
Answers
Answer:
a. 55.5
b. 12
Step-by-step explanation:
a. 94+17=111
180-111=69
2x+69=180
2x=111
x=55.5
b. 180-90=90
5x-7+x+25= 90
6x+18=90
6x=90-18
6x=72
x=12
someone please help
What is the solution to the system of equations below?
4x + 8y = 24
12y = 4x - 30
Answers
Y= -3/10
Hope this helps
Answer:
(33/5 , -3/10)
Step-by-step explanation:
I HAVE A COMMON ASSESSMENT HELP PLZ!
The graphs of linear functions f(x) and g(x) are shown on the graph. What transformation is happening to transform f(x) to g(x)?
A. Reflection
B. Vertical Shrink
C. Vertical Stretch
D. Vertical Shift
Answers
Answer:
A. Reflection
Step-by-Step Explanation:
you're reflecting the line across the x-axis, and that transforms f(x) into g(x).
The local high school is selling candy bars and soda at a fundraiser. The candy bars sells for eighty-four cents and each soda costs $1.35. After the fundraiser was over , the students made $63.84 from the candy bars and $70. 20 from the soda
1. How many candy bars did they sell?
2. How many sodas did they sell?
3. What was the total amount of money made by the high school?
Answers
Answer:
1 84 cents i hope this helped
What is 100% as a fraction
Answers
Answer:
1/1
100% as a fraction can be written as 1/1, which can be "simplified" to 1. In other words, 100% is the whole.
Hope this helps ^-^
Mr. Johnson has a piece of pipe 5 1/3 feet long. He decides to cut it into 3 equal pieces to use in making a railing for his porch. How long should he cut each piece?
Answers
Answer: 1.78 repeating
Step-by-step explanation:
Answer:
1 7/9
Step-by-step explanation:
Hope this helps. Pls give brainliest.