Answer:
x = ± √11 i
Step-by-step explanation:
x^2 + 5 + 6 = 0
subtract 6 and 5 from both sides
x^2 = -11
find the square root of both sides
x = ± √-11
x = ± √11 √-1
x = ± √11 i
What is the equation of the line in slope-intercept form?
Answer:
y=-6x
Step-by-step explanation:
decreasing 6/1 rise/run and no y int
Answer:
y= -6x
Step-by-step explanation:
As you move up vertically from your y-intercept (0,0) six times, you can see that your x-intercept increased by -1. Because your x-intercept has increased by -1, there is a negative sign in front of 6x
There is no number after -6x because the place where your line meets the y-axis (y-intercept) is (0,0).
Can someone answer this questions please :))
Answer:
Answer is the second one( -1/2)
is this correct? i added them together to simplify it. (will give brainliest if theres an early response)
Answer: I think the answer is 5.3x + 1.7
Ayuda por favor
x^(2)+2x-a^(2)-4a-3
Translating:
Please help
I believe you want me to factor it, so:
( x + 1/2 )^2 + ( a - 2 )^2 - 14/2
Answer:
[tex]x=a+1,\:x=-a-3[/tex]
Step-by-step explanation:
Remove parenthesis:
[tex]x^2+2x-a^2-4a-3=0[/tex]
[tex]x_{1,\:2}=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \left(-a^2-4a-3\right)}}{2\cdot \:1}[/tex]
[tex]x_{1,\:2}=\frac{-2\pm \:2\left(a+2\right)}{2\cdot \:1}[/tex]
[tex]x_1=\frac{-2+2\left(a+2\right)}{2\cdot \:1},\:x_2=\frac{-2-2\left(a+2\right)}{2\cdot \:1}[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]
[tex]x=a+1,\:x=-a-3[/tex]
Which of the following systems of equations has infinitely many solutions?
Answer:
C. y = x + 4, 2y = 2x + 8Step-by-step explanation:
The system has infinitely many solutions if the two equations are equivalent.
We can analyze the given systems to see:
A)
2x + 7x + y = 6 ⇒ 9x + y = 6 ⇒ y = - 9x + 6y = 9x + 6Different slopes, there is one solution
B)
y = 5x + 7y = 2x + 8Different slopes, there is one solution
C)
y = x + 42y = 2x + 8 ⇒ y = x + 4Same lines, infinitely many solutions
D)
7x - y = 10 ⇒ y = 7x - 10y = 6x + 8Different slopes, there is one solution
Solution:
When two equations are equivalent, it is infinitely many solutions because the two lines overlap each other.
Option A - 2x + 7x + y = 6 and y = 9x + 6
=> (9x + y = 6) = (y = 9x + 6)=> (y = -9x + 6) ≠ (y = 9x + 6)Option B - y = 5x + 7 and y = 2x + 8
=> (y = 5x + 7) ≠ (y = 2x + 8)Option C - y = x + 4 and 2y = 2x + 8
=> (y = x + 4) = (2y = 2x + 8)=> (y = x + 4) = (y = 2x/2 + 8/2)=> (y = x + 4) = (y = x + 4)Option D - 7x - y = 10 and y = 6x + 8
=> (7x - y = 10) = (y = 6x + 8)=> (-y = -7x + 10) = (y = 6x + 8)=> (y = 7x - 10) ≠ (y = -6x - 8)Hence, Option C is correct.
Find the second term of the binomial expansion (a-1)^3
Answer:
[tex](a - 1) ^{3} \\ {a}^{3} - {1}^{3} \\ a {}^{3 } - 1[/tex]
I need help pleaseeee, anyone?!!
x+4=2
what is the qeasoun of this
[tex]x\\[/tex]Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
[tex]x+4=2[/tex]
we want to solve for [tex]x[/tex] so we will let [tex]x[/tex] alone and we will move [tex]4[/tex] to the other side of the equation with an opposite sign ( if it was positive then it will move to the other side with a negative sign, and the opposite is correct ):
[tex]x=2-4[/tex]
solve :
[tex]x=2-4 \\x=-2[/tex][tex]x=2-4[/tex]
[tex]x=-2[/tex]
now [tex]x[/tex] is equal to [tex]-2[/tex]
Answer:
x = -2
Step-by-step explanation:
x + 4 = 2
x + 4 - 4 = 2 - 4
x = - 2
HELP Please I BEGGING YOU
8/5=x/16
=5x=128
x=25.6
it is b answer
7/10=x/12
10x=84
x=8.4
it is a answer
You and your friend go out to dinner The cost of your meal is 12.75, your friend's meal is 13.95. You tell your friend that you will pay for the meal and the tip the waiter gave excellent service so you want to leave 20% tip. How much will you leave for a tip ?
answer: 5.34
Step by step explanation 12.75 + 13.95=26.7
20% of 26.7 is 5.34
Answer this question Please!! (50 point's)
Answer:
0.875
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator. Have a good day :)
Factor by Grouping:
8x²+12x+2xy+3y
Answer:
(2x +3) (4x +y)
Step-by-step explanation:
refer the image
If the colours of the alphabet smell dusty how many elephants with one tusk are located in canada?
Answer:
Approximately twenty-three and a half.
please help me out in this question
Which equation can be used to represent the statement? Sixteen is the same as one and two-tenths times a number added to negative 8. 16 1. 2 n = negative 8 16 1. 2 n = 8 16 = 1. 2 n (negative 8) 16 = negative 1. 2 n 8.
The equation can be used to represent statement 'Sixteen is the same as one and two-tenths times a number added to negative 8' is,
[tex]16=1.2n+(-8)[/tex]
How to write algebraic equation from statement?
Algebraic equation are the expression which consist the variables, coefficients of variables and constants.
The algebraic equation are used represent the general problem in the mathematical way to solve them.
Steps to write down the simple algebraic equation from statement-
Identify all the factors of the expression.Assume a variable for the changing values.Put a coefficient for the variable, if there is any rate of change of variable.Use constant numbers for the fixed values.Given information-
The given statement is 'sixteen is the same as one and two-tenths times a number added to negative 8'.
The statement given in the problem is talking about a unknown number. Let the unknown number is [tex]n[/tex].
The number is sixteen is the same as one and two-tenths times a number added to negative 8.
This means when our number n, multiplied by the fraction 2/10, and added by the negative 8, then it becomes equal to the number 16. Mathematically,
[tex]16=n+\dfrac{2}{10}\times n+(-8)\\16=1.2n+(-8)[/tex]
Thus the equation can be used to represent the given statement is,
[tex]16=1.2n+(-8)[/tex]
Learn more about the algebraic expression here;
https://brainly.com/question/2164351
\frac{2^{2}}{2^{-7}}\times 2\normalsize?
2
−7
2
2
×2?
\frac{x^{\frac{5}{4}}y^{\frac{10}{3}}}{2}
alve.
. Tia has 25 china figures in her collection. The horse figures cost $2
each, and the cat figures cost $1 each. She paid $39 for all the figures in
the collection. How many horses and how many cats does she have?
Equations:
Solution:
Triangle ABC has the given measures. Solve the triangle(s), if any exist.
A = 162°, a = 6.1, b = 4
How many triangle(s) can possibly be formed?
Answer: why is there two a’s?
Step-by-step explanation:
if those are the correct angles then 1 can be formed because every triangle always adds up to 180
Answer:
answer is 1
Step-by-step explanation:
I honestly made a lucky guess
Another one? Please help.
Thank you so much!
Hi there!
8.
Recall the following properties:
[tex]\frac{1}{x^{-a}} = x^a\\\\x^0 = 1[/tex]
Thus, we can rearrange the expression in parts.
[tex](3x)^0 = 1\\\\x^4 = x^4\\\\y^{-4} = \frac{1}{y^4}\\\\\frac{1}{x^{-3}} = x^3\\\\\frac{1}{y^{-7}} = y^7[/tex]
Now, combine these terms:
[tex](1) * x^4 * \frac{1}{y^4} * x^3 * y^7 = \frac{x^4 * x^3 * y^7}{y^4}[/tex]
More properties:
[tex]x^a * x^b = x^{a + b}\\\\\frac{x^a}{x^b} = x^{a - b}[/tex]
Rewrite:
[tex](1) = x^{4 + 3} * y^{7 - 4} = \boxed{\text{D) } x^7y^3}[/tex]
9)
Begin by solving the inside of the parenthesis.
[tex](3^2 + 3^0)^2 = (9 + 1)^2 = 10^2 = 100\\\\(6^{-2} + 3)^0 = 1\\\\100 - 1 = \boxed{ \text{ B. 99}}[/tex]
10)
Simplify the inside of the parenthesis using the above properties.
[tex](\frac{x^2y^5z^3}{xy^7})^{-2} = (\frac{xz^3}{y^2})^{-2}[/tex]
Since there is a negative in the outside exponent, we must take the reciprocal. (flip the numerator and denominator).
[tex]=( \frac{y^2}{xz^3})^2[/tex]
Square both the numerator and denominator.
Recall the property:
[tex](x^a)^b = x^{ab}[/tex]
[tex]= \frac{y^{2*2}}{x^2 * z^{3 * 2}} = \boxed{ \text{C. }\frac{y^4}{x^2z^6}}[/tex]
HELP QUICK!! PLEASE HELP!!! PLEASE PLEASE
Answer:
A.) Y= 8
B.) X= 9
Step-by-step explanation:
I noticed that the equation is x4 because 4x4= 16 and 5x4= 20.
So, I multiplied 4x2 to get 8 and divided 36/4 to get 9.
what is 2 1/7 divided by 1 1/4
Answer: 32/35
Step-by-step explanation:
reduce the expression , if possible , by cancelling the common factors
Which one of the following rules describe this transformation?
Answer:
B
Step-by-step explanation:
When you reflect across the x-axis, the x coordinate stays the same, but the y coordinates changes signs.
kindly answer it ....
some problem , pls refer the attachment for your answer
Hope it helps ~
Sunshine had $29 and used $10,how much does she have left?
Answer:
Sunshine has $19 left after spending $10.
Step-by-step explanation:
29 - 10 = x
Subract 10 from 29 to solve for x.
x = 19
A hungry elf ate 28 of your muffins. That was 7/8 of all of them! With how many did you start?
Answer:
32
Step-by-step explanation:
28 / 7 = 4
4 * 8 = 32
Double check your answer:
28/32 = 7/8
ALL GOOD!
Mrs. Nguyen thought that she had $40 in her wallet. She actually has $48. What is her percent error? (Round to the nearest percent.)
Answer:
20%
Step-by-step explanation:
(final - initial)/initial
48-40)/40
8/40
1/5
or 20% error
6. Find the value of x.
I 5x+ 2
6x + 4
122 - 4
H
J P
Step-by-step explanation:
sum of two interior angles is equal to one exterior angle....this implies that,
(6x+4) +(5x+2)= 12x-4
11x+6=12x-4.......make X the subject
11x-12x=-4-6
-x= -10......divide both sides by -1
x=10
Nico owns 11 instructional piano books. Two are beginner books, six are intermediate books, and three are advanced books. If two books are randomly chosen from the collection, one at a time, and replaced after each pick, what is the probability that he first chooses an advanced book and then chooses a beginner book? StartFraction 5 Over 121 EndFraction StartFraction 6 Over 121 EndFraction Five-elevenths Six-elevenths.
Answer: c . 6/121
Step-by-step explanation: 100% on edge
The probability that he first chooses an advanced book and then chooses a beginner book is 6/121.
ProbabilityGiven:
Beginner book=2
Intermediate book=6
Instructional piano books=11
Advanced books=3
Hence:
Probability=(2×3)÷(11×11)
Probability=6/121
Therefore the probability that he first chooses an advanced book and then chooses a beginner book is 6/121.
Learn more about probability here: https://brainly.com/question/24756209
#SPJ2
The complement in the following sentence is
My uncle drives a new car.
1. car
2. drives
3. new
Btw it's not new I tried but it said it was wrong, thanks!
Answer:
belve t would be drives
Step-by-step explanation:
Hope ths helps.
how long will 24 cans of soda last?
Answer:
it depends on the circumstances
Step-by-step explanation:
Answer:
6-9 months I'm pretty sure