The relationship between the values of m and n for the trinomial x²+bx -c is (m+n) is the sum of the roots and (mn) is the product of the roots.
What is trinomial?A trinomial is the type of algebraic expression in which there are three terms present and more than one variable are present.
The trinomial given in the problem is,
[tex]x^2 +bx - c[/tex]
This trinomial has factors of,
[tex](x +m)(x - n),[/tex]
Where m, n, and b are positive.
If this factors multiply by each other, we get,
[tex](x +m)(x - n)\\x^2+nx+mx+nm\\x^2+(n+m)x+nm[/tex]
Compare it with the trinomial, we get,
[tex]b=(m+n)[/tex]
Which is the sum of the terms,
[tex]c=nm[/tex]
Which is the product of the terms.
Hence, the relationship between the values of m and n for the trinomial x²+bx -c is (m+n) is the sum of the roots and (mn) is the product of the roots.
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There were 15 zebras at the children’s zoo. There were 2 more monkeys than zebras. There were 5 less goats than monkeys. How many zebras , goats , and monkeys altogether?
Answer:
altogether there are 42 animals at the zoo
A jug contains 2 gallons of water how Amy quarts of water does the jug contain
The speed that a tsunami can travel is modeled by the equation s = 356 startroot d endroot , where s is the speed in kilometers per hour and d is the average depth of the water in kilometers. what is the approximate depth of water for a tsunami traveling at 200 kilometers per hour? 0.32 km 0.75 km 1.12 km 3.17 km
The approximate depth of water for a tsunami traveling at 200 kilometers per hour is 0.32 km.
What is speed?Speed can be calculated as the ratio of distance traveled to the time taken.
The speed that a tsunami can travel is modeled by the equation
s = 356√d, where s is the speed in kilometers per hour and d is the average depth of the water in kilometers.
S = 356√d
200 = 356√d
√d = 200/356
= 0.5618
d = 0.5618^2
= 0.316 km
d = 0.32 km.
Thus, The approximate depth of water for a tsunami traveling at 200 kilometers per hour is 0.32 km.
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Answer:
A its a
Step-by-step explanation:
edge 22
is 2+6x^2-2x a polynomial yes or no
Answer:
yes
Step-by-step explanation:
yes
Each term is a number or a number multiplied by a one or more variables.
Complete the table.
f(a) = -3a2 + 10
-1
0
1
2
solve the equation x+2=5x-2
Hey there!
Solve the equation:
Answer :x = 1 ✅
Explanations:x + 2 = 5x - 2
>> Add 2 to both sides
x + 2 + 2 = 5x - 2 + 2
x + 4 = 5x
>> Substract x from each side
x + 4 - x = 5x - x
4 = 4x
4x = 4
>> Divide both sides by 4
4x/4 = 4/4
x = 1
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Have a good day ;)
Given :-
X + 2 = 5X - 2To find :-
The value of Xsolution:-
x + 2 = 5x -2
moving like terms to the same side2+2 = 5x - x
4 = 4x
1 = x
Find the radius of a circle with an area of 89 square feet.
Answer:
[tex]r = 5.32\ feet[/tex]
Step-by-step explanation:
Step 1: Determine the radius
Formula to get the area of a circle → [tex]A=\pi r^2[/tex]
Insert 89 into the A and solve for r
[tex]\frac{89}{\pi} = \frac{\pi r^2}{\pi}[/tex]
[tex]28.3296 = r^2[/tex]
[tex]\sqrt{28.3295} = \sqrt{r^2}[/tex]
[tex]r = 5.32[/tex]
Answer: [tex]r = 5.32\ feet[/tex]
The function f(x)=2^x and g(x)=f(x)+k. if k=2, what can be concluded about the graph?
the graph of g(x) is shifted vertically...
The graph ig g(x) si shifted horizontally
Answer:
Its shifted verticlly 2 and to the left 2.
Step-by-step explanation:
Its verticlly because when it says 2^x its going up if it said -2^x it would go down.
It goes left because it is 2^x=? so if you put it on the other side its negative which makes it to the left.
Which of the following is equivalent to ([tex]\sqrt[3]{x4}[/tex])[tex]x^{5}[/tex]
(hopefully i typed that in correctly )
A. x 12/5
B. x 15/4
C. x20/3
D. x^60
Answer:
15/4
Step-by-step explanation:
look it up on brainly
Solve 5x 1 = 2x2 9x. which are steps in the process of completing the square used to solve the equation? 1 = 2(x2 2x) 1 = 2x2 4x 2 = 2(x2 2x 1) 3 = 2(x 1)2 2 = 2(x 1)2
Steps to complete the square used to solve the equation were discussed.
The given quadratic equation is:
[tex]5x+1=2x^{2} +9x[/tex].....(1)
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] with [tex]a\neq 0[/tex] called a quadratic equation.
Rearranging the equation (1):
[tex]2x^{2} +9x-5x=1[/tex]
[tex]2x^{2} +4x=1[/tex]
[tex]2x^{2} +4x+2=1+2[/tex]
[tex]2x^{2} +4x+2=3[/tex]
[tex]2(x^{2} +2x+1)=3[/tex]
[tex]2(x+1)^2=3[/tex]........(2)
So, the required answer is equation (2).
Hence, steps in the process of completing the square used to solve the equation were discussed.
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-4K2 – 8k – 3 =-3 – 5K2
Solve by factoring
Answer:
k = 0 or 8
Step-by-step explanation:
First, get the variables and constants on their side.
-4k^2 + 5k^2 - 8k = -3 + 3 Now simplify
k^2 - 8k = 0 Factor
k(k - 8) = 0 Solve
k = [0, 8]
If you want you can double check your answer by plugging in the values you got. First, 0.
0 - 0 - 3 = -3 - 0
-3 = -3. That works, so we know 0 is correct. Now 8
-4(64) - 8(8) - 3 = -3 - 5(64)
-256 - 64 - 3 = -3 - 320
-320 - 3 = -323
-323 = -323 That also works, so we know 8 is correct.
Give a rule for a transformation that would be a rigid motion. Explain why your transformation would be a rigid motion.
The ratio of boys to girls in a math class 7:8. Which statement must be true about this math class?
Answer:
That there are more girls than boys in the class
Step-by-step explanation:
If there are any answer choices i may be able to help a little more but from the information you gave i came to this conclusion :) Hope this helps
help me pls i dont get it
Answer:
D. w² + 6w
Step-by-step explanation:
If the length is 6 ft more than the width, then:
width = wlength = w + 6Area of a rectangle = width × length
Substituting the given values:
⇒ Area of the garden = w(w + 6)
= w² + 6w
If A=3x^2 + 5x -6 and B= -2x^2 - 6x +7, then A-B equals ?
Answer:
5x^2 + 11x - 13 = A - B
Step-by-step explanation:
A - B = ? Substitute 3x^2 + 5x - 6 for A and - (-2x^2 - 6x + 7) for -B:
3x^2 + 5x - 6 - (-2x^2 - 6x + 7). or
3x^2 + 5x - 6 + 2x^2 + 6x - 7, or (after combining like terms):
5x^2 + 11x - 13 = A - B
What does the "area" of a pizza mean?
Does it mean either "The entire amount of pizza that will be eaten" or "The amount of crust around the outside of the pizza"
Answer:
The area is the entire pizza
Step-by-step explanation:
ILL GIVE BRAINLIEST
Using pi as 3.14. what is the circumference of a circle with a radius of 3mm.
Answer:
18.8
Step-by-step explanation:
Circumference
2πr2π(3)6π18.8mm²what's the algebra meaning?
Answer:
the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Step-by-step explanation:
Which two intervals account for approximately 60% of Benji’s reading?
NO LINKS AND PLEASE HELP
WILL MARK THE BRAINLIEST
I need help, I can't do this exercise
Answer:
149 Degrees
Step-by-step explanation:
The angle 31 is marked for you on the figure, there is also a secondary angle marked on the other line parallel to the first. Since they are marked the same, the value of both must be 31 degrees, you can also prove this in a longer method by calculating the exact angle measures of each line. Now we simply simplify our basic equation.
180-31=x
149=x
What is the solution to the equation below? In X = 2.1
Answer:
log(b) x = y is the same and saying b^y = x
so 6^2.1 = x
x = 43.06
Step-by-step explanation:
I need help
Solve for x
Answer:
x = 21
Step-by-step explanation:
5x + 15 = 2x + 78
3x = 63
x = 21
Answer:
x = 21°
Step-by-step explanation:
As corresponding angles in parallel lines are equal,
5x + 15 = 2x + 78
And now let us solve for x.
5x + 15 = 2x + 78
5x + 15 - 2x = 78
3x + 15 = 78
3x = 78 - 15
3x = 63
Divide both sides by 3.
x = 21°
If you could body swap with any person for 24 hours, who would you choose?
Answer:
Chris evans
Step-by-step explanation:
Are 2b + b and 3b equivalent expressions?
Answer:
the answer is yes
Step-by-step explanation:
yes it is an equivalent expression because 2b+b and 3b have the same value and length or numerator which equals yes.
iouhsrjfopdjkdopcakwsodpfikapodsdjkfopaskdfopawjksdopf
Answer:
??
Step-by-step explanation:
Answer:
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Step-by-step explanation:
Answer:
??
Step-by-step explanation:
Answer:
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Step-by-step explanation:
Answer:
??
Step-by-step explanation:
Answer:
??
Step-by-step explanation:
Answer:
??
Step-by-step explanation:
Answer:
??
Step-by-step explanation:
Cleveland and his family are on a road trip. If they have traveled 1/2 of the total distance in the past 4 days, what fraction of the total distance did when they travel per day?
Answer:
1/8
Step-by-step explanation:
Jason bought 405 berries in total to prepare for a breakfast party. He bought 8
times as many strawberries as blueberries.
How many of each berries did Jason buy?
Jason bought
strawberries and
blueberries
HELP A S A P ONLY CORRECT ANSWE
Answer:
the answer should be d
Step-by-step explanation:
you just have to multiply the per pound amount (1.29) by by the pound amount (5) and then you get your answer $6.45!
i hope this helps :)
A student is trying to solve the system of two equations given below: equation p: a b = 6 equation q: 4a 2b = 19 which of the following steps can be used to eliminate the a term? −1(4a 2b = 19) −4(4a 2b = 19) −4(a b = 6) 4(a b = 6)
We will use the steps that can be used to eliminate the a term that will be -4(a+b=6). Option C is correct.
What is the system of two equations?A set of two linear equations with two variables is called a system of linear equations. They create a system of linear equations when evaluated collectively.
The given equation in the problem is;
Equation P: a + b = 6
Equation Q: 4a + 2b = 19
To cancel out the equation q from the equation p.In order to cancel, the term of we has to multiply the term -4 in the equation p.
Hence we will use the steps that can be used to eliminate the a term that will be -4(a+b=6). Option C is correct.
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What does this mean pls help me I am gonna get a zero
Answer:
36 monkeys where sleeping