Answer:
[tex]x=-3\pm i \sqrt{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Algebra II
Imaginary roots: √-1 = iStep-by-step explanation:
Step 1: Define function
f(x) = -x² - 6x - 14
Step 2: Set up
Set equation equal to 0: -x² - 6x - 14 = 0Factor out -1: -(x² + 6x + 14) = 0Divide both sides by -1: x² + 6x + 14 = 0Step 3: Define variables
a = 1
b = 6
c = 14
Step 4: Find roots
Substitute: [tex]x=\frac{-6\pm\sqrt{6^2-4(1)(14)} }{2(1)}[/tex]Exponents: [tex]x=\frac{-6\pm\sqrt{36-4(1)(14)} }{2(1)}[/tex]Multiply: [tex]x=\frac{-6\pm\sqrt{36-56} }{2}[/tex]Subtract: [tex]x=\frac{-6\pm\sqrt{-20} }{2}[/tex]Factor: [tex]x=\frac{-6\pm\sqrt{-1} \sqrt{20} }{2}[/tex]Simplify: [tex]x=\frac{-6\pm2i \sqrt{5} }{2}[/tex]Factor: [tex]x=\frac{2(-3\pm i \sqrt{5} )}{2}[/tex]Divide: [tex]x=-3\pm i \sqrt{5}[/tex]pls help im having so much trouble with this along with my friends :(
5. Which of the following lists the integers in order from least to greatest?
20, -6, 2, 1, -13
-13, -6, 2, 1, 20
1, 2, -6, -13, 20
-13, -6, 1, 2, 20
Answer:
its D. because
Step-by-step explanation:
because -13 is smaller than -6 and thats smaller than 1 and thats smaller than 2 thats smaller than 20
Write −0.85 as a fraction in simplest form.
Write the slope-intercept form of the equation of a line with a slope of −58 that passes through the point (−14,6).
Answer:58x=-2
Step-by-step explanation:
solve 2x + 6 = x - 4
Answer:
x=-10
Step-by-step explanation:
Move like terms to the same side
2x+6-x=-4
x=-4-6
x=-10
2x+6=x-4
subtract x from both sides
x+6=4
subtract 6 from both sides
x=-10
hope this helps!
I need help please ;^;
Answer:
with what
Step-by-step explanation:
What is the slope of line ?
Answer:The slope is m= 1/2
(0,-2) & (2,-1)
Step-by-step explanation:
(0,-2) & (2,-1)
m=y²-y¹/x²-x¹
m=(-1)-(-2)/2-0
m=1/2
Use the properties of exponents to write an equivalent expression for (3 x 6)2
Answer:
The answer is 324
Step-by-step explanation:
I don't know if it's the correct answer but I hope it helps
pls mark me as brainliest
I will mark brainliest!!! Only have 5 mins!!!
Answer:
-1 + 6 = -7
Step-by-step explanation:
you go from -1 add 6 to the left and land on -7
because a - plus a - = a positive
you need to use a positive 6 to get a -7
Hawa can walk 2.5 miles in 40 minutes. At this rate, how far can she walk in 1 hour?
1 hour = 60 minutes
40 / 2.5 = 16
Hawa can walk ________ in 1 hour.
Answer:
3.75
Step-by-step explanation:
Hawa can walk 1 mile every 16 minutes so 60/16=3.75 :) hope this helped
I NEED THIS ANSWER ASAP PLEASE
Answer:
y = (-9/8)x + 7
Step-by-step explanation:
the line equation for slope intercert form looks like this
y = mx + b
m is the slope
b is the y intercept
The line intercepts the y at b= 7 (as noted in point (0, 7)
To find slope, use the 2 points given and the slope formula
m = (y2 - y1) / (x2-x1)
point (x1, y1) is (0, 7) and
point (x2, y2) is (8, -2)
plug in the correct spots for m = (y2 - y1) / (x2-x1)
m = (-2 - 7) / (8 - 0) = -9 / 8
substitute y = mx +b = (-9/8)x + 7
I hope this helps :-)
f(x) = (x + 2)/(x2 - 16)
12x+12=3x+84 so what does x=
Answer:
x = 8
Step-by-step explanation:
12x +12 = 3x +84
12x +12 -12 -3x = 3x -3x +84 -12
12x -3x = 84 -12
9x = 72
9x/9 = 72/9
x = 8
Answer: Answer: x=8
Step-by-step explanation:
12x+12=3x+84
Subtract 12 on both sides:
12x+12-12=3x+84-12
12x=3x+72
Subtract 3x on both sides:
12x-3x=3x-3x+72
9x=72
Divide 9 on both sides:
9x/9=72/9
x=8
PLEASSEEEEE HELP ASAPPPPPPP A store owner is tracking inventory based on sales
during the week. The store owner notices that the
number of gallon milk jugs remaining follows a
pattern. The equation N= 50 - 7d represents the
number of gallon milk jugs, N, remaining d days
into the week, at the end of each day.
Which statement is true?
a. The store owner begins the week with 50
gallon milk jugs and adds an average of 7
gallon milk jugs each day,
b. The store owner begins the week with 50
gallon milk jugs and sells an average of 7
gallon milk jugs each day.
c. The store owner begins the week with 57
gallon milk jugs and adds an average of 7
gallon milk jugs each day.
d. The store owner begins the week with 57
gallon milk jugs and sells an average of 7
gallon milk jugs each day.
Answer:
b) The store owner begins the week with 50 gallon milk jugs and sells an average of 7 gallon milk jugs each day.
answer of 5 1/2 - 3 5/8
Answer:
3
Step-by-step explanation:
5 1/2 = 5 × 2 + 1/2 = 11/2
3 5/8 = 3 × 8 + 5/8 = 29/8
Now,
5 1/2 - 3 5/8 = 11/2 - 29/8
11/2 - 29/8
11 × 8 - 29 × 2/8 × 2
88 - 58/10
30/10 = 3
Thus, 5 1/2 - 3 5/8 = 3
-TheUnknownScientist
Answer:
the answer is 3
I hope it's helped
Step-by-step explanation:
5 1/2 - 3 5/8
HELP PLZZZS!!!!!!! EASY 10 points *easy*
Answer:
reflection
Step-by-step explanation:
Answer:
I need 5 Brainliest before I can become Ace
Step-by-step explanation:
please hurry possible brainliest too
Write a function rule for our pattern.
You may use f(x) or A(N) for the explicit formula.
84, 90, 96, 102, 108,
Answer:
84+6x=y or it can be 78+6x=y
Step-by-step explanation:
what is the greatest common factor of 35+14
Answer:
7
Step-by-step explanation:
When you multiply two numbers together to get a product, those two numbers are considered factors of the product. There are certain operations in math that require comparing two or more numbers and identifying the largest factor they have in common. This is called the greatest common factor (GCF).
Answer:
The first step to find the gcf of 14 and 35 is to list the factors of each number. The factors of 14 are 1, 2, 7 and 14. The factors of 35 are 1, 5, 7 and 35. So, the Greatest Common Factor for these numbers is 7 because it divides all them without a remainder.
so 7 is the greatest common factor of 35+14
The factors of 14 are 1,2,7,14; The factors of 35 are 1,5,7,35.
"how may I apply the distributive property to this expression."
By factoring out 7, the expression 35+14 = 7(5 + 2) and so you have an alternative way of computing the sum.
49 = 7(7).
Mr. Florean opened an account with deposit of $5,000. The account earned 7.5% annual simple interest. He did not make any additional deposits or withdrawals. After some time, the balance of the account was $6,500. How many years did it take for mr.Flores to have a balance of $6,500?
Answer:
4 years
Step-by-step explanation:
The simple interest = $6,500 - $5,000 = $1500
From the formula for simple interest;
I=PRT/100
T= 100 I/PR
T= 100 × 1500/5000 × 7.5
T= 150000/37500
T= 4 years
List the 5 Earth's sphere.
Answer:
geosphere, hydrosphere, atmosphere, cryosphere, biosphere.
What is the x-intercept for the equation? 3x + 6y = 24
-4
4.
8
-8
Answer:8
Step-by-step explanation: plug in 0 for y then solve
The table shows the battery life of four different mobile phones.
Answer:
phone B
Step-by-step explanation:
cc is guaranteed the larger of $500 per week or 7% of sales. last week she
sold $6785. Will she earn her weekly salary or commission for this week?
A. salary
B. commission
Answer:
commission
Step-by-step explanation:
the worker is paid primarily through a percentage of their sales total for the commission than a salary or an hourly wage.
so is commission.
What is the value of g(2)?
Answer:
A.1
Step-by-step explanation:
looking at the function, you can see that you should use the second equation, x^3-9x^2+27x-25, x>=2
step 1: insert 2 into the equation. (2)^3-9(2)^2+27(2)-25
step 2: simplify equation 8-36+54-25=1
The value of function g(2) is 1. Therefore, option A is the correct answer.
The given function is g(x)=[tex]\left \{ {{(\frac{1}{2} )^{x-3} \hspace{6em} x < 2} \atop {{x^{3}-9x^{2} +27x-25} } \hspace{6em}x \geq2}} \right.[/tex].
We need to find the value of g(2).
What is the function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
Now, g(2)= [tex](\frac{1}{2} )^{x-3} =2[/tex]
g(2)=2³-9(2)²+27×2-25
=8-36+54-25=1
The value of function g(2) is 1. Therefore, option A is the correct answer.
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AnOtHeR MATH QUESTION (SMH). HELP PLEASE !!!
Answer:
For the function: [tex]g(x)=-x^2-3x+5[/tex], the average rate of change of function over the interval [tex]-7\leq x\leq 2[/tex] is 2
Step-by-step explanation:
We are given function: [tex]g(x)=-x^2-3x+5[/tex], we need to find average rate of change of function over the interval [tex]-7\leq x\leq 2[/tex]
The formula used is: [tex]Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}[/tex]
We have b=2 and a= -7
Finding f(b) and f(a)
Finding g(b) by putting x=2
[tex]g(x)=-x^2-3x+5\\g(2)=-(2)^2-3(2)+5\\g(2)=-4-6+5\\g(2)=-10+5\\g(2)=-5[/tex]
Finding g(a) by putting x=-7
[tex]g(x)=-x^2-3x+5\\g(-7)=-(-7)^2-3(-7)+5\\g(-7)=-49+21+5\\g(-7)=-23[/tex]
Now, finding average rate of change when g(b)=-5 and g(a)=-23
[tex]Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}\\Average \ rate \ of \ change=\frac{-5-(-23)}{2-(-7)}\\Average \ rate \ of \ change=\frac{-5+23}{2+7}\\Average \ rate \ of \ change=\frac{18}{9}\\Average \ rate \ of \ change=2[/tex]
So, Average rate of change = 2
Therefore for the function: [tex]g(x)=-x^2-3x+5[/tex], the average rate of change of function over the interval [tex]-7\leq x\leq 2[/tex] is 2
The governments in two countries, Statland and Statopia, are proposing to change their national currencies to the Statto. The proportion of support for such a change within the population in Statland and Statopia are modelled by random variables X and Y respectively. It is thought that the joint density function for the two variables is of the formf(x,y)=(2/5)*(2x+3y) for 0f(x,y)=0 elsewherePart b) the probability that changing to the Statto has the support of more than half the population in each country. 15/30Part c) the marginal density of the support for the Statto in Statland evaluated at the point X=1/2. is 1Part d) the marginal density of the support for the Statto in Statland evaluated at the point Y=1/2. is 1Part e) Find the conditional density of the support for the Statto in Statland given the support of a third of the population in Statopia. Evaluate this density at the point X=1/2
Answer:
Step-by-step explanation:
what year r u in this is soo hard gtg byeee
find the sum of the first 50 terms -6, -2, 2, 6,…
Answer:
4600
Step-by-step explanation:
AB=BC what is the property
Which set of ordered pairs represents a function? \{(2, 9), (5, 9), (1, -6), (-5, 5)\}{(2,9),(5,9),(1,−6),(−5,5)} \{(6, 6), (6, 8), (-8, -7), (-3, -8)\}{(6,6),(6,8),(−8,−7),(−3,−8)} \{(1, 8), (9, -3), (7, -4), (7, -6)\}{(1,8),(9,−3),(7,−4),(7,−6)} \{(-5, -1), (-3, -7), (-5, 3), (-7, -4)\}{(−5,−1),(−3,−7),(−5,3),(−7,−4)}
Given:
The set of ordered pairs.
To find:
Which set of ordered pairs represents a function?
Solution:
A set of ordered pairs represents a function, if there exist unique output value for each input value.
In option A,
{(2, 9), (5, 9), (1, -6), (-5, 5)}
It is a function because all input has unique outputs.
In option B,
{(6, 6), (6, 8), (-8, -7), (-3, -8)}
For x=6, there exist two outputs y=6 and y=8. So, it is not a function.
In option C,
{(1, 8), (9, -3), (7, -4), (7, -6)}
For x=7, there exist two outputs y=-4 and y=-6. So, it is not a function.
In option D,
{(-5, -1), (-3, -7), (-5, 3), (-7, -4)}
For x=-5, there exist two outputs y=-1 and y=3. So, it is not a function.
Therefore, the correct option is A.
From the given option, the set of ordered pairs that represents a function is {(2, 9), (5, 9), (1, -6), (-5, 5)\}
Ordered pair of a functionA coordinate is known to represents a function if all the domain values have a unique value in the codomain.
The x-coordinate point should not be repeated for the coordinate to be a function, otherwise it is not a function.
From the given option, the set of ordered pairs that represents a function is {(2, 9), (5, 9), (1, -6), (-5, 5)\}
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Solve by factoring
15x^2 - 25x =0
Answer:
Answer below!
Step-by-step explanation:
[tex]15x^{2} -25x=0\\5x(3x-5)=0\\ \frac{5x}{5}=\frac{0}{5} ;x=0[/tex]
3x - 5 = 0
Add 5 to both sides;
3x = 5
Divide both sides by 3;
[tex]x=\frac{5}{3}[/tex]