Find the discriminate, number of roots and solve the quadratic equation using the quadratic formula -my answers are pribably wrong
Answers
Answers:
discriminant = dnumber of roots = esolutions = g=================================================
Explanation:
Let's compute the discriminant. Here we have a = 1, b = 1, c = -2
d = b^2 - 4ac
d = 1^2 - 4(1)(-2)
d = 9
The fact that d > 0 tells us we have two different real number solutions.
------------------------
We can use the quadratic formula to solve, or we can factor. I'll use the factor method.
x^2 + x - 2 = 0
(x - 1)(x + 2) = 0
x-1 = 0 or x+2 = 0
x = 1 or x = -2
The two solutions are -2 and 1
Related Questions
5/7-(-1/7) plz help I am confused
Answers
Answer:
[tex] \frac{6}{7} [/tex]
Step-by-step explanation:
[tex] \frac{5}{7} - ( - \frac{1}{7} )[/tex]
[tex] \frac{5}{7} + \frac{1}{7} [/tex]
[tex] = \frac{6}{7} [/tex]
Simplify.
(If an answer is undefined, enter UNDEFINED.)
6/10
Answers
Answer:
3/5
Step-by-step explanation:
1.) Find the Greatest Common Factor of 6/10.
2
2.) Divide both the numerator and the denominator by the greatest common factor.
6÷2
10÷2
3.) Simplify 6÷2/10÷2
3/5
A fruit seller buys some oranges at the rate of ₹ 5 per orange. He also buys an equal number of bananas at the rate of ₹ 2 per banana. He makes a profit of 20% on oranges and a profit of 15% on bananas. In the end, he sold all the fruits. If he earned a profit of ₹ 390, find the number of oranges.
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Hello what's your name?
What is the sum of 3.6 x 10^-2 and 2.4 x 10^3?
Answers
Answer:
2400.036 or 4.875 × 10^5
Step-by-step explanation:
Can anyone help solve this for me ASAP. Thanks!
Answers
Answer:
x = 20
y = 26
Step-by-step explanation:
40 and 2x are vertical angles, so they're equal to each other.
40 = 2x
Divide both sides by 2
x = 20
We see that 40 and 5y + 10 are a linear pair, which means they add up to 180.
5y + 10 + 40 = 180
5y + 50 = 180
5y = 130
y = 26
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!helpppppppp
Answers
Answer:
2W + 56 = 78 , W = 10
Step-by-step explanation:
perimeter of rectangle = 2*the Length + 2*the Width
P(x) = x^4+ax^3-x^2+bx-12 has factors of (x-2) and (x+1). Solve the equation P(x)=0
Answers
Answer:
because P(x) has factors of (x-2) and (x+1) => x = 2 and x = -1 are the solutions of P(x)
so we have:
[tex]\left \{ {{2^{4}+2^{3}a-2^{2}+2b-12 =0} \atop {1-a-1-b-12=0}} \right.\\=>\left \{ {{8a+2b=0} \atop {a+b=-12}} \right.\\<=>\left \{ {{4a+b=0} \atop {a+b=-12}} \right.\\<=>\left \{ {{a=4} \atop {b=-16}} \right.[/tex]
=> [tex]P(x)=x^{4} + 4x^{3}-x^{2} -16x-12[/tex]
With P(x) = 0
=> [tex]x^{4}+4x^{3}-x^{2} -16x-12 = 0[/tex]
=> ........
Step-by-step explanation:
n!
Use:
n 'k k!(n-k)!
to solve the combination.
After a band parent meeting, each of
the ten members shook hands with
each other once. How many
handshakes were there in all?
Hint: Remember that one handshake involves
two people.
[?] handshakes
Answers
Using the formula C(10,2) = 10!/(2! x (10 - 2)! = 10!/(2! x 8!) = 45 handshakes.
A simple way to prove this is each person shakes the hand of 9 other people
10 x 9 = 90 but this counts every handshake from the view of both people involved.
The actual number of handshakes is therefore 90 / 2 = 45
2 pluz 4 palese !!!!!!!!!!!
Answers
Answer:
6
Step-by-step explanation:
2+4=6
(1+1)+(1+1+1+1)=6
Ans: 6
If a garden hose can fill up a 5 gallon
container in 3 minutes, then how long
would the garden hose take to fill a 15
gallon container?
Answers
Answer:
9 minutes
Step-by-step explanation:
We can write a proportion to solve
5 gallons 15 gallons
-------------- = ---------------
3 minutes x minutes
Using cross products
5x = 3*15
5x = 45
Divide by 5
5x/5 = 45/5
x = 9
A polynomial is
if its only factors over the integers are 1 and itself.
Answers
Answer: Prime
A polynomial is prime if its only factors over the integers are 1 and itself.
==============================================================
Explanation:
Think of the idea of factoring whole numbers like factoring 36 into 6*6 which further breaks down into (2*3)*(2*3) = 2^2*3^2. This shows that 36 is composite and not prime.
Something like 7 is prime because the only factors are 1 and itself.
This idea extends into polynomials as well.
Something like x^2+4x+4 factors to (x+2)(x+2) which shows it is not prime. On the other hand, the polynomial x^2+3x+5 is prime over the integers because we cannot factor it like the previous example. The only factors here are 1 and itself.
Factoring is handy to help determine roots of a polynomial. However, other tricks could be used such as the quadratic formula or using numerical approximation techniques.
can anyone help me plz?
Answers
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Factor out from the expression
Find the distance between the pair of points.
N(-5. - 14), P(-5. - 3)
d=(Simplify your answer. Type an exact answer, using radicals as needed)
Answers
Answer:
78
Step-by-step explanation:show your work
problem in photo 20 characters
Answers
Answer:
Step-by-step explanation:
i dont know but work hard
In December yanni’s chocolate shop received 180 telephone orders. In January they received only 72 telephone orders. By what percent did the number of telephone orders decrease from December to January
Answers
Answer:
Step-by-step explanation:
The last line of a proof represents
the
given
information.
the argument.
the conclusion.
O the assumptions.
Answers
7-9-0-0-0-0-0-0-0-0-0-0-6-6-6-6--6-6-6-6-6-6-6-6-6-6-6-
Answers
Answer:
It is -80
Step-by-step explanation:
u just subtract
write a decimal equivalent to the fraction
7/50
Answers
nfhfjfjfjfuvjgjgkfkfkfjfjgjgjgjgjgkgkgkgk
Answer:
0.14
Help!!! A student Is given the rectangle and square shown. The student states that the two figures have the same perimeter. Is this still in correct? Explain your reasoning.
Answers
Answer:
yes figures have the same perimeter
Step-by-step explanation:
The opposite sides of the rectangle are equal , then
perimeter = 2(x + 4) + 2x = 2x + 8 + 2x = 4x + 8
The square has 4 equal sides , then
perimeter = 4(x + 2) = 4x + 8
Then the figures have the same perimeter
I need help with this Math Problem- (I got 7/8 inches more.) Planning to attach a plywood panel with nails 1 3/4 long.The panel is 3/8 inch thick.And beneath the panel is sheetrock which is 1/2 inch thick. How many inches of the nail should go into the wood frame?
Thks again
Answers
9514 1404 393
Answer:
7/8 in (you are correct)
Step-by-step explanation:
The amount of nail that goes into the framing member is ...
1 3/4 -3/8 -1/2
= 1 6/8 -3/8 -4/8
= 1 -1/8 = 7/8 . . . . inches
Find the Sum
734,839 + 788,958
Answers
Answer:
1523797
Step-by-step explanation:
Have a good day, hope I helped
Answer:
1,523,797
Step-by-step explanation:
734,839 + 788,958
= 1,523,797
Find two positive numbers whose difference is 30 and whose product is 2584.
Answers
Answer:
[tex]38[/tex] and [tex]68[/tex].
Step-by-step explanation:
Let [tex]x[/tex] be the smaller one of the two number.
[tex]x[/tex] must be a positive integer. The other number would be [tex](x + 30)[/tex].
The question states that the product of the two numbers is [tex]2584[/tex]. In other words:
[tex]x\, (x + 30) = 2584[/tex].
Rearrange this equation and solve for [tex]x[/tex]:
[tex]x^{2} + 30\, x - 2584 = 0[/tex].
The first root of this quadratic equation would be:
[tex]\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}[/tex].
Similarly, the second root of this quadratic equation would be:
[tex]\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}[/tex].
Since the question requires that both numbers should be positive, [tex]x > 0[/tex]. Therefore, only [tex]x = 38[/tex] is valid.
Hence, the two numbers would be [tex]38[/tex] and [tex](38 + 30)[/tex], which is [tex]68[/tex].
9514 1404 393
Answer:
38 and 68
Step-by-step explanation:
Let x represent the average of the two numbers. Then their product is ...
(x -15)(x +15) = 2584
x^2 = 2584 +225 = 2809 . . . . . . use relation (x -a)(x +a) = x^2 -a^2; add a^2
x = √2809 = 53
Then the two numbers are ...
53 +15 = 68
and
68 -30 = 38
The two numbers are 38 and 68.
_____
Additional comment
Solving the problem in this way is equivalent to writing the quadratic equation for the smallest (or largest) number and solving that by completing the square. The "solution" x = -53 is not relevant in this problem.
A test has 20 questions. The test awards 3 points if the answer is correct and takes
away 1 point if the answer is incorrect. A student answered 5 questions incorrectly.
How many points did the student lose?
Show your work.
Answers
Answer:
55
Step-by-step explanation:
20 * 3 = 60
60 marks - 5 Incorrect answer (5 marks deducted)
55 Marks
I have a question if anybody answers the reward is brainlist
Whats 0÷0
Answers
Answer:
0
Step-by-step explanation:
You can't divide anything by zero
0÷0=
=0
What type of number is -4?
Choose all answers that apply:
A: Whole number
B: integer
C: Rational
D: Irrational
Answers
Answer:
It is integer and rational .....
Step-by-step explanation:
Hope it helps
HELP ASAP: I WILL MARK BRAINLIEST SOMEONE PLEASE HELP!!
Answers
Answer:
Step-by-step explanation:
Please see the picture below
Why do we study statistics?
A. Because technological advances have introduced massive amounts of data into the world
B. Because statistics can be applied to every field of study
C. Because many of the statistical stories told in the media are misleading
D. All of the above
help me please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please
Answers
Answer:
B. Because statistics can be applied to every field of study
28. Retail Sara Sung is shopping and finds several items that are on sale at 25% off
the original price. The items that she wishes to buy are a sweater originally at
$43.98, a pair of jeans for $38.59, and a blouse for $31.99. She has $100 that her
grandmother gave her for her birthday. If the sales tax in San Mateo, California,
where she lives is 8.25%, does Sara have enough money for all three items?
Explain.
Answers
Answer:
Sara has enough money to buy all three items because after the sale and tax, the total of all three items is less than $100 at only $93.01.
Step-by-step explanation:
Solve for the sale:
43.98 × 0.25
10.995
38.59 × 0.25
9.6475
31.99 × 0.25
7.9975
Add these all together:
10.995 + 9.6475 + 7.9975
28.64
Subtract this amount from the original cost of all the items:
(43.98 + 38.59 + 31.99) - 28.64
114.56 - 28.64
85.92
Solve for the sales tax:
85.92 × 0.0825
7.0884
Add the sales tax to the total:
85.92 + 7.0884
93.0084
Round up to the nearest cent:
93.01
93.01 < 100
A case of 8 items costs $14.88 at costco. What is the price of each item
Answers
Explanation:
14.88 divided by 8
14.88/8= $1.86 per item
Solve the system by substitution.
y = -9x
y = 2x + 33
Answers
Answer:
[tex]y = - 9x \\ theny = 2x + 33 \\ - 9x = 2x + 33 \\ - 9x - 2x = 33 \\ - 11x = 33 \\ x = \frac{ - 33}{11} = - 3 \\ x = - 3 \\
then\\ y=-9×-3=21\\ thank \: you[/tex]
