Answer:
x = - 2, x = 3
Step-by-step explanation:
Given
x² - x - 6 = 0
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)
The factors are + 2 and - 3 , since
2 × - 3 = - 6 and 2 - 3 = - 1 , then
(x + 2)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 3 = 0 ⇒ x = 3
Answer:
[tex]x^2-x-6=0[/tex]
[tex]\left(x+2\right)\left(x-3\right)=0[/tex][tex]x+2=0\quad \mathrm{or}\quad \:x-3=0[/tex][tex]x+2=0[/tex][tex]x+2-2=0-2[/tex] ← Subtract 2 from both sides[tex]x=-2[/tex][tex]x-3=0[/tex][tex]x-3+3=0+3[/tex] ← add 3 to both sides[tex]x=3[/tex]-----------------------
hope it helps...
have a great day!!
Một xưởng dệt thảm được giao làm một số thảm trong 30 ngày. Thực tế xưởng dệt đã tăng năng xuất lên 25% nên sau 25ngay không những đã làm xong số thảm mà còn làm thêm được 20 chiếc nữa. Tính số lượng thảm mà xưởng đã dệt trong 25 ngày
Gọi số tấm thảm xưởng dệt dệt theo dự định là x ( tấm, x >0 )
⇒ số tấm thảm xưởng dệt dệt trong 1 ngày theo dự định x/30 (tấm)
xưởng dệt dệt đc số tấm thảm trong thực tế là x/20 (tấm)
⇒số tấm thảm xưởng dệt dệt trong 1 ngày thực tế là x+20/25 (tấm)
Vì năng suất tăng 25% nên số tấm thảm dệt được trong 1 ngày thực tế sẽ bằng 125% số tấm thảm dệt đc trong 1 ngày theo dự định nên ta có PT : x+20/25=125% * x/30
me lười làm khúc dưới quá nên tự xử nha.
16p⁷q⁸÷2p⁴q⁵
whats the answer?
Answer:
[tex]8 {p}^{3} {q}^{3} [/tex]
Step-by-step explanation:
Hope it is helpful....
Please help (add work/reasoning if you can)
Answer:
A
[tex]x + y > - 9 \\ - 7 + ( - 2) > - 9 \\ \\ 2x - 5y > - 4 \\ 2( - 7) - 5( - 2) \\ - 14 + 10 \\ > - 4[/tex]
Answer mah questions Pleaseeee
Answer:
c
Step-by-step explanation:
Answer: median
I say this as the mean would be too off due to the one outlier (it's best used when there are multiple outliers), and the range wouldn't make sense as a mid-measurement.
Solve the equation for x and enter your answer below.
-9 + x = -1
The manager of a football team says the probability that the team will win the next match is 0.6 and the probability it will lose is is 0.1 Find the probability that the team will: a) not win b) not lose c) not draw
Answer:
A. 0.4
B.0.9
C.0.7
Step-by-step explanation:
Answers:
a) 0.4b) 0.9c) 0.7===========================================
Explanation:
Part (a)
P(winning) = 0.6 is given
The probability of not winning is 1 - P(winning) = 1 - 0.6 = 0.4
----------------
Part (b)
P(losing) = 0.1 is given
The probability of not losing is 1 - P(losing) = 1 - 0.1 = 0.9
-----------------
Part (c)
The probability of winning is 0.6 and the probability of losing is 0.1
This adds to 0.6+0.1 = 0.7, which must mean 0.3 is the probability of drawing (since 0.7+0.3 = 1)
So the probability of not drawing is 1 - P(draw) = 1 - 0.3 = 0.7, which is exactly the sum of the probabilities of winning and losing.
hiiii ^-^ need help again with some math ikr math sucks -v-
Answer:
5a) -8 . Plan : addition/negative?
5b) -30 . Plan: subtraction/negative?
Step-by-step explanation:
Im not so sure about what "Plan" means, hopefully you know..
5a)
-15 + 7 = 7 - 15 = -8
5b) -10 +(-20) = -10 - 20 = -30
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Below
Step-by-step explanation:
So lets start with the first one:
-15+7
We are going to add these together, and will get -8.
Next we have:
-10+(-20)
When there is both a subtraction or negative sign, and a plus sign, the plus sign is removed.
So we can think of this as:
-10-20
And since the -10 is negative, and we are subtracting it, it is going to get more engative:
-10-20=-30
This is the solution answer.
I do not know what the answer to the plan is, i dont understand what plan means.
write an equation to represent each graph
equation for first figure=2x+y=2
equation for second figure= 4x-y=8
(use formula x/a+y/b=1)
where, a=x component and b= y component..
It requires a minimum of ____ points to make up a plane
Answer:
2
Explanation: A plane contains at least three non-collinear points. If two points lie in a plane, then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.
answer
Three points not lying on the same line define one and only one plane that they all belong to
a pair of integers whose difference is - 50 is
Answer:
-45&-5 or -49&-1
Step-by-step explanation:
-45+(-5)
= -50
-49-1
= -50
Tollowing statement.
The type of rule in which you are given the first term and then your equation gives you a method for finding the
next term in a sequence.
Answer:
recursive
Step-by-step explanation:
recursive lets us find the next term using a formula of the term preceding it or coming before it.
The type of rule in which you are given the first term and then your equation gives you a method for finding the next term in a sequence is called Recursion
What is recursive function ?
Recursive function is a function that repeats or uses its own previous term to calculate subsequent terms and thus forms a sequence of terms . Example : Arithmetic progression , geometric progression etc
so, the type of rule in which you are given the first term and then your equation gives you a method for finding the next term in a sequence is called Recursion
Learn more about Recursion
https://brainly.com/question/17298888?referrer=searchResults
#SPJ2
Given that A , B and C are the vertices of a triangle and that ∠ C B A = 80 ∘ and ∠ A C B = 35 ∘ , label the triangle with the correct vertices, A , B , or C . Select the correct answer from the options below.
Answer:
Step-by-step explanation:
Jelissa walked 6 miles in 90 minutes. If she continues at this rate, how long would it take her to travel 8 miles?
Answer:
120 minutes
Step-by-step explanation:
Jelisa walked 6 miles in 90 minutes
The amount of mile walked in 1 minutes is
= 6/90
= 0.0666666
If she walks 0.066666 miles in 1 minute then in for 8 miles she travels
= 8/0.066666
= 120 minutes
Which ordered pair is a solution of the equation? x - 5y = -15
Answer:
x -5y (y -3)=0
Explanation :
x -5y= -15
X- 5y+ 15=0
factorizing
x -5(y-3) =0
Pls help. What is the appropriate congruent for these triangles
Answer:
C. HL
Step-by-step explanation:
The diagram given shows that the hypotenuse length and the length of a leg of one right triangle is congruent to the hypotenuse and corresponding leg length of the other. Based on Hypotenus-Leg criterion, the two right triangles is proved to be congruent because it meets the criterion of HL.
Show that √2 is an irrational numbe.
Answer:
[tex] \sqrt{2} =1.41421356237...[/tex]
Answer:
The proof that √2 is indeed irrational is usually found in college level math texts, but it isn't that difficult to follow. It does not rely on computers at all, but instead is a "proof by contradiction": if √2 WERE a rational number, we'd get a contradiction.
...
A proof that the square root of 2 is irrational.
2 = (2k)2/b2
b2 = 2k2
A quadratic monomial with a leading coefficient of 6
A linear binomial with a leading coefficient of 2
Given:
A quadratic monomial with a leading coefficient of 6.
A linear binomial with a leading coefficient of 2.
To find:
The mathematical terms for the given statements.
Solution:
Monomial: The expression with single term.
Binomial: The expression with two terms.
Quadratic: Highest power of the variable is 2.
Linear: Highest power of the variable is 1.
Coefficient: In the product of a number and a variable, the number is known as the coefficient of that variable.
The first statement is "A quadratic monomial with a leading coefficient of 6".
Quadratic monomial means single term with degree 2. The leading coefficient of 6. So, the term is [tex]6x^2[/tex].
The second statement is "A linear binomial with a leading coefficient of 2".
Linear binomial means [tex]ax+b[/tex], where a and b are real values. The leading coefficient is 2. So, [tex]a=2[/tex].
Let [tex]b=1[/tex], then the required linear binomial is [tex]2x+1[/tex].
Therefore, a quadratic monomial with a leading coefficient of 6 is [tex]6x^2[/tex].
A linear binomial with a leading coefficient of 2 is [tex]2x+1[/tex].
Can someone please help me with this? I'll mark brainliest :)
Answer:
√
√
√
√
√
Step-by-step explanation:
1st row
Growth
2nd row
decay
_+_+_=30
using (1,3,5,7,9, 11, 13, 15)
you can reoeat numbers
Answer:
There is no answer because you cannot get the sum of 3 odds to make an even number.
Step-by-step explanation:
Hope this helps,
Evaluate.
9+6²÷3=?
brainliest
Answer:
21
Step-by-step explanation:
9 + 6^2 / 3
Follow PEMDAS:
9 + 36 / 3
9 + 12
21
Hope this helps, good luck! :)
Solve for x. Round to the nearest tenth of a degree, if necessary PLEASE HELP I HAVE 10 MINS TILL ITS DUE
Answer:
x = 47.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos x = 8.8 / 13
Take the inverse cos of each side
cos ^-1 ( cos x) = cos ^-1( 8.8 /13)
x = cos ^-1( 8.8 /13)
x =47.39633319
Rounding to the nearest tenth
x =47.4
Answer:
36.9 degrees
Step-by-step explanation:
using SOHCAHTOA we can see that we need to use cos because the sides that are given are the adjacent side and the hypotenuse so u have to divide the adjacent by the hypotenuse which is 8.8/13 and you should get 0.8 after you round to the nearest tenth and then you use your calculator to do cos^-1 (0.8) and you get 36.9 after you round to the nearest tenth of a degree
Determine whether Triangle AWT= UYZ. explain your reasoning
Answer: The triangles are congruent by the HL theorem
HL = hypotenuse leg
======================================================
Explanation:
Through the segment addition postulate, we can say:
WZ = WT+TZ
YT = TZ+ZY
Notice how both WZ and YT have TZ as part of their segments.
Since WZ and YT are the same length, we can then say,
WZ = YT
WT+TZ = TZ+ZY
WT = ZY
I used substitution for the second step.
The last step is where I subtracted TZ from both sides, and they canceled out.
---------------------
We have the following info:
WT = ZY (just found)AT = UZ (given)angle AWT = angle UYZ (given)Normally, the conclusion from here would be "not enough info" because this is a SSA case. Note how the angles are not between the congruent sides. So we wouldn't use SAS.
However, despite us having SSA, it doesn't mean we can't keep going. The reason why is because we have two right triangles. So we can use the HL theorem instead. Statement 1 above refers to the L of HL, while statement 2 is the H.
HL = hypotenuse leg
Again, HL only works for right triangles. It's the only time we can use SSA to prove right triangles are congruent; otherwise, SSA is not a valid congruence theorem.
Put in in order from least to Greatest 3,-18,5,4,-2,6
A)-2,3,4,5,6-18
B)-2,18,3,4,5,6
C)-18,-2,3,4,5,6
D)3,4,5,6-2,-18
Answer:
A.
Step-by-step explanation:
-2,3,4,5,6-18 from least to greatest
Find the area of a circle with radius 2cm, leave your answer in terms of pi
Answer:
[tex]Area = 4 \pi \ cm^2[/tex]
Step-by-step explanation:
[tex]Area = \pi r^2 = \pi \times 2^2 = 4 \pi \ cm^2[/tex]
Answer:
A = 4 cm squaree
this us because u multiply π r and square it. sorry if it's confusing
6.) Find the square root(s)
Answer:
the square root is 0.08/8
Help please!!!!!!!!!!
Answer:
90 cm^3
Step-by-step explanation:
V=LxWxH
V= 10(3)(3)
=90 cm^3
Write the expression in complete factored form.
5c(a + 3) + q(a + 3) =
Answer:
( a + 3 ) ( 5c + q )
Step-by-step explanation:
5c ( a + 3 ) + q ( a + 3 )
= ( a + 3 ) ( 5c + q )
PLEASE HELP QUICK!!! (T•T)
15- .08
16- 5.6
17- 7/100
18- 3 1/2
19- 2 4/100
The graph of f(x) is the solid black graph below. Which function represents the
dotted graph?
Answer: The answer is y= f(x+1)+5
Step-by-step explanation: The reason is that when you are translating the graph, the information in the parenthesis (In this case: (x+1)) is always on the x axis moving either left or right. You just go one in the opposite direction of what the sign is, so since the sign in the parenthesis is "+" you would go left in the opposite direction. Then, for the upward translation, you would have to move 5 units upward and this is done by just adding five to the end of it.
What is the length of the side x?
Answer and Step-by-step explanation:
Solve for the middle side, then for x using Pythagorean Theorem.
[tex]A^2 + B^2 = C^2\\\\\\6^2 + 8^2 = C^2\\\\100 = C^2\\\\C = 10\\\\\\\\A^2 + 10^2 = 12^2\\\\A^2 + 100 = 144\\\\A^2 = 44\\\\A^2 = 2\sqrt{11} <-Answer[/tex]
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