Answer:
x = 3 ± 3i√2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Vertex Form: f(x) = a(bx - c)ⁿ + dCompleting the SquareSolving rootsAlgebra II
Imaginary Roots: √-1 = iStep-by-step explanation:
Step 1: Define equation
(x - 3)² + 8 = -10
Step 2: Solve for x
Subtract 8 on both sides: (x - 3)² = -18Square root both sides: x - 3 = ±√-18Factor: x - 3 = √-1 · ±√18Simplify: x - 3 = ±3i√2Add 3 to both sides: x = 3 ± 3i√2You have $20 dollars to spend at the movies. All popcorns are $5 and all candies are $4. Write an equation to describe how many popcorns and candies you can spend at the movies.
Answer:
5p + 4c = 20
Step-by-step explanation:
lets have p stand for the number of popcorn we buy and c stand for the number of candy we buy
you can only spend $20, so we know we need to set our equation equal to $20
now we take the price of of popcorn and multiply it p, the number of popcorn we buy. and we can do the same thing with candy.
so we end up with 5p + 4c = 20
Anthony and Gordon are collecting clothes for a clothing drive. Gordon collected 1/2 as many clothes as Anthony did. If Anthony collected 1/3 of a bag of clothes, how many bags of clothes did Gordon collect?
Answer:
1/6
Step-by-step explanation:
hope this helped you!
A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 8 greater-than 2, negative 10 less-than negative 5, 16 greater-than negative 40, negative 8 less-than 4. Column 2 is labeled Multiply each side by: with entries negative 2, 5, 8, negative 4. Column 3 is labeled New Inequality with entries A, B, C, D.
Consider the following relationship among people, "lives in a different country than." Tell whether this relationship is reflexive, symmetric,
transitive, or none of these.
Sample: The relationship "is younger than" is not reflexive because Sue is not younger than herself. It is not symmetric because if Sue is
younger than Fred, then Fred is not younger than Sue. It is transitive because if Sue is younger than Fred and Fred is younger than Alana, then
Sue is younger than Alana.
Choose the correct answer below.
a- The relationship is reflexive.
b- The relationship is transitive.
c- The relationship is symmetric.
d- The relationship is none of these properties.
the relationship is transitive
Basic tools and transformation- Part A
Solve for X
Enter it in the box
Answer:
109°
Step-by-step explanation:
To figure this problem out, we should start with the rule that a pentagon's angles add up to 540°. The angles in the given pentagon are 121°, 102°, 108° and 100°. To find x, we need to make sure all 5 angles add up to 540.
121°+ 102°+108° +100°+x=540°
If you add those four given angles, you get 431°.
540° - 431° = 109°
HELP PLEASE QUICKLY!! Please
Answer: good luck
Step-by-step explanation:
;)
Answer: x = 5
Step-by-step explanation:
Vertical angles are congruent. Hence, 30 = 6x. Diving both sides by 6 gives x=5
Which equation is a point slope form equation for line AB?
y+2=−2(x−5)
y+5=−2(x−2)
y+6=−2(x−1)
y+1=−2(x−6)
Step-by-step explanation:
none of these are correct because beside the y it is a plus sign and it needs to be a minus sign but the awnser would be. y-6=-2(x-1) the way your supposed to set this up is y-y¹=slope(x-x¹) the only way their would be a addition sign in the equation is if one of the numbers in the parentheses that you put down is negative.
HOPE THIS HELPS!
srry if it confusing
Negative slope?
WILL MARK BRAINLIEST!!! !!
(picture included^^^)
Answer:
y= -3/-1
Step-by-step explanation:
hope it helps.
Support or refute the claim that Mexico incited war by killing 11 Americans
Answer:
I refute the claim that Mexico incited the war. It was rather the U.S under President James Polka that sent troops to occupy Texas, a territory that the Mexicans believed to be theirs.
Step-by-step explanation:
The Velasco treaty signed in 1836 by a war prisoner of Mexican origin, General Antonio Lopex de Santa Anna was not approved by the Mexican government, but the United States capitalized on it to say that the republic of Texas belonged to them. President James Polka used both peaceful and aggressive means to recover that territory. His peace negotiations were rejected by Mexico and despite that, he sent troops to occupy the territory.
They also occupied other territories of Mexico like Santa Fe de Nuevo Mexico. The Mexicans saw this as provocative and sent their soldiers to Texas who ended up killing 11 American soldiers. This resulted in the war that was fought between 1846 to 1848.
Select all the expressions that are equal to 4500÷90
Answer:
Select any expresion that equals 50.
Step-by-step explanation:
Divide 4500 by 90 and find all the expresions that equal 50.
A sand dune stands 5 feet above sea level. The hill is eroding at a rate of 1 foot per 20 years. Let y represent the height of the sand dune after x years. Which equation represents the situation? y = negative StartFraction 1 Over 20 EndFraction x minus 5 y = negative StartFraction 1 Over 20 EndFraction x + 5 y = negative 20 x minus 5 y = negative 20 x + 5
Answer:
y = 1/20 x + 5
Step-by-step explanation:
Let the height of the sand dune after x years be represented by the equation
y = mx+c where;
m is the rate at which the hills is eroding
c is the height of the dunes above the sea
If The hill is eroding at a rate of 1 foot per 20 years,then the rate of eroding per year will be;
1foot = 20years
m = 1year
Cross multiply
20m = 1
m = 1/20 foot/yr...
c = 5foot
Substitute into the formula:
y = 1/20 x + 5
Hence the equation that represent the situation is y = 1/20 x + 5
Answer:
b
Step-by-step explanation:
A:1.7
B:2.7
C:2.8
D:6.6
(Ik it’s not C)
B:2.7
I added the numbers that we knew from the right side and subtracted it from 17
Which ordered pair (x, y) satisfies the system of equations shown below?
9x - y = 63
x = y +7
Answer: (7, 0)
Step-by-step explanation:
We have the system of equations:
9*x - y = 63
x = y + 7
We can see that the "x" is isolated in the second equation, then we can replace it in the first equation to get:
9*x - y = 63
9*(y + 7) - y = 63
Now we have an equation that only depends on one variable, so we can solve it:
9*y + 63 - y = 63
8*y + 63 = 63
8*y = 63 - 63 = 0
y = 0/8 = 0.
Now we know the value of y, we can replace this in one of the initial equations to find the value of x, i will replace this in the second equation:
x = y + 7 = 0 + 7 = 7
Then the point that is a solution for the system of equations is (7, 0)
Select the correct answer.
A school conducts 27 tests in 36 weeks. Assume the school conducts tests at a constant rate. What is the slope of the line that represents the
number of tests on the y axis and the time in weeks on the x-axls?
A. 3/4
B. 4/3
C. 3
D. 4
it should be A. 3/4
Which scenarios represent one quantity changing at a constant rate per unit interval relative to the other quantity?
Select all that apply.
A An employee earns $14 per hour.
B. An employee earns a 3% raise each year.
C. A gym charges a $50 down payment plus $30 per month.
D
A piece of gym equipment decreases 8% in value every 6 months.
E
A trainer charges $20 for every 30 minutes of training plus a $5 tip
Answer:
Graphs come in all sorts of shapes and sizes. In algebra, there are 3 basic types of graphs you'll see most often: linear, quadratic, and exponential. Check out this tutorial and learn how to determine is a graph represents a linear, quadratic, or exponential function!
Step-by-step explanation:
thats all
Find all zeros to the following polynomial function. f(x)= 5x^4 -10x^3 +4x^2 -8x.
Please answer in detailed steps I’m confused.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
[tex]f(x)= 5x^4 -10x^3 +4x^2 -8x[/tex]
To determine the zeros, set f(x) = 0
[tex]0=\:5x^4\:-10x^3\:+4x^2\:-8x[/tex]
switch sides
[tex]5x^4-10x^3+4x^2-8x=0[/tex]
as
[tex]5x^4\:-10x^3\:+4x^2\:-8x=x\left(x-2\right)\left(5x^2+4\right)[/tex]
so the equation becomes
[tex]x\left(x-2\right)\left(5x^2+4\right)=0[/tex]
Using the zero factor principle:
[tex]\mathrm{\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
[tex]x=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:5x^2+4=0[/tex]
so solving
[tex]x=0[/tex][tex]x-2=0[/tex]
[tex]x=2[/tex]
Therefore, the real zeros are:
[tex]x=0[/tex] and [tex]x=2[/tex]
[tex]5x^2+4=0[/tex] has all the imaginary zeros.
solving
[tex]5x^2+4=0[/tex]
[tex]5x^2=-4[/tex]
[tex]x^2=-\frac{4}{5}[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{-\frac{4}{5}},\:x=-\sqrt{-\frac{4}{5}}[/tex]
[tex]x=i\frac{2\sqrt{5}}{5},\:x=-i\frac{2\sqrt{5}}{5}[/tex] ∵ [tex]\sqrt{-1}=i[/tex]
Therefore, the total zeros are:
[tex]x=0,\:x=2,\:x=i\frac{2\sqrt{5}}{5},\:x=-i\frac{2\sqrt{5}}{5}[/tex]
12.8
х
5.3
find the value of x
Answer:
67.84 is the answer.
Step-by-step explanation:
12.8 times 5.3 equals 67.84
#teamtrees #WAP (Water And Plant)
That's what I need help with and I need the steps to it, please. Its the fraction one.
Answer:
27
Step-by-step explanation:
27/3 = 9, 27/9 = 3. so
9-3= 3+3
6=6
PLZ HELP!!!
Refer to the graphic novel frame below for exercises a-c
Answer:
the bags volume is 132 cubed inches. the candle is 37.5 cubed inches. there will need to be 94.5 packing material. they will need to buy 12 packages.
Step-by-step explanation:
5.5 times 3 times 8 is 132. 2.5 times 2.5 times 6 is 37.5. 132-37.5 is 94.5. 94.5 times 70 is 6615. 6615 divided by 575 is 11.5 (rounded). cant have half of a package so rounded to 12.
Solve the system of equations below by graphing both equations with a
pencil and paper. What is the solution?
y = x+1
y - 2x+3
A. (4,5)
B. (-2,1)
C. (2,3)
D. (-4,-3)
Answer:
(2/3,5/3)
Step-by-step explanation:
y= 5/3
x=2/3
Could i please get help on this
Answer:
49sin21 or 17.5
Step-by-step explanation:
sinθ=o/h
sin21=x/49
x=49sin21=17.56
Hope this helps; please vote brainliest.
-32 / (-4)
-40 / (-8)
348 / 26 x 29
Answer:
Your answer is: ↓
A) 8
B) 5
C) 6 / 13
Reduce the expression, if possible, by cancelling the common factors.
Step-by-step explanation:
Hope this helped : )
what is 42−{(7+14)÷7}×4
The value of 42−{(7+14)÷7}×4 will be 30.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given,
⇒ 42−{(7+14)÷7}×4
⇒ 42 - { (21)÷7}×4
⇒ 42 - 3×4
⇒ 42 - 12
⇒ 30
Hence "The value of 42−{(7+14)÷7}×4 will be 30".
To learn more about expression
https://brainly.com/question/14083225
#SPJ15
On a number line, 0.2 would be locate. Choose all answers that make a true statement.
A. between o.1 and 0.3
B. to the right of 0.3
C. to the left of 0.45
D. to the right of 0.17
Answer:
A. between o.1 and o.3
Step-by-step explanation:
Between 1 and 3, there's 2.
3. According to The Motorist, a publication of the American Automobile Association, 90% of all calls for emergency
Service on a cold winter day in Tottenville are for cars that won't start because of a dead battery, 10% of the calls a
cars that won't start because they have no gas, and 4% of the calls are for cars that won't start because of a dead
battery and no gas. If a typical call is randomly selected, what is the probability that it is for a car that won't start
because of a dead battery or because of no gas?
Answer:
The probability that a randomly selected call is for a car that won't start because of dead battery or because of no gas is 0.96
Step-by-step explanation:
The percentage of calls for emergency due to dead battery = 90%
The percentage of calls for emergency due to no gas = 10%
The percentage of calls for emergency due to dead battery and no gas = 4%
Therefore;
The probability that a call for a car that won't start because of dead battery, P(B) = [tex]\left | B \right |[/tex] = 0.9
The probability that a call for a car that won't start because of no gas, P(N) = [tex]\left | N \right |[/tex] = 0.1
The probability that a call for a car that won't start because of dead battery and no gas, P(B∩N) = [tex]\left | B \cap N \right |[/tex] = 0.04
Therefore, the probability that a randomly selected call is for a car that won't start because of dead battery or because of no gas is given as follows;
[tex]\left | B \cup N \right | = \left | B \right | + \left | N \right | - \left | B\cap N \right |[/tex]
Where;
Therefore, we have;
[tex]\left | B \cup N \right |[/tex] = The probability that a randomly selected call is for a car that won't start because of dead battery or because of no gas
Substituting gives;
[tex]\left | B \cup N \right |[/tex] = 0.9 + 0.1 - 0.04 = 0.96
∴ The probability that a randomly selected call is for a car that won't start because of dead battery or because of no gas = 0.96.
If the diameter is 21 cm what is the radius??
Answer: 10.5cm
Step-by-step explanation: the radius is half the diameter. 21/2=10.5
Divide. Express your answer in simplest form.
11/12 ÷ 3/4
Answer:
11/9 = 1 2/9
Step-by-step explanation:
When divide by a fraction you multiply by the reciprocal, which in others words you flip the second fraction and then multiply straight across.
The reciprocal of 3/4 is 4/3 now just multiply straight across
11×4 / 12 × 3 = 44/36 this can be simplified to 11/9 because 4 goes into 44 and 36 evenly
Answer:
11/9
Step-by-step explanation:
18 cm
28°
х
The value of x is approximately:
B) 20.39 cm
A) 8.45 cm
C) 33.85 cm
D) 38.34 cm
Answer:
c lolhahahahahahahahahahahahahahahahahahahahaha
Answer: c
Step-by-step explanation:
8.45 cm – 3.55 cm
As you can see I NEED HELP RIGHT NOW!
Answer:
Ten over two would be at the very right side of this number line. It would be located at the number 5. Negative nine over two would be located two segment or lines after negative five.
Step-by-step explanation:
Ten over two would come out to a positive and whole number of five. Negative nine over ten comes out so negative four wholes and one half. So this gets located two segments after negative five because it is not fully negative five but it is negative four and one half. I got these whole numbers by simplifying the numbers that we started off with. Hope you have an amazing day and do well on your assignments.
-Vizion
In 2011, the population of deer in a forest was 650.
1. In 2012, the population increases by 15%. Write an expression, using only multiplication, that represents the deer population in 2012.
2. In 2013, the population increases again by 15%. Write an expression that represents the deer population in 2013.
3. If the deer population continues to increase by 15% each year, write an expression that represents the deer population years after 2011.
1::650(1.15)
2: 650(1.15)2
3: 650(1.15) t
1 The expression for the population in 2012 is 650(1.15)
2. The expression for the population in 2013 is [tex]650(1.15)^2[/tex]
3. The expression for the population after 2011 is [tex]650(1.15) ^t[/tex]
Calculation of the expressions in each cases:Since in the 2011 years, the population is 650
And, there is an increment of 15% in the year of 2012
1. So, the expression should be 650(1.15)
2. Now in the year 2013, it is [tex]650(1.15)^2[/tex]
3. And, after 2011 it is [tex]650(1.15) ^t[/tex]
Learn more about the population here: https://brainly.com/question/24309536