Answer:
3y + 5
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define expression
(4y + 3) - (y - 2)
Step 2: Simplify
Distribute negative: 4y + 3 - y + 2Combine like terms (y): 3y + 3 + 2Combine like terms (Z): 3y + 5Consider 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
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]
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
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.
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:
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°
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
What is the image of (−3,9) after a reflection over the line y = x?
Answer:(9,-3)
Step-by-step explanation:
You just have to flip the numbers
Use the compound interest formula to find the present value P, for the following given values.
A = $25,000
i = 0.038
n=81
(Round to the nearest cent.)
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)
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:
What is the equation in slope-intercept form of the line that passes through the points ( -4 , 2) and (12, 6)?
Group of answer choices
y = 0.25x − 4.5
y = 4x − 42
y = 4x + 18
y = 0.25x + 3
Step-by-step explanation:
let the equation be y = mx + b.
m = (6 - 2)/(12 - (-4)) = 1/4
sub (12, 6):
6 = 1/4(12) + b
b = 3
therefore, equation of the line is y = 1/4x + 3, aka option 4
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
Answer:
y = 0.25x + 3
Step-by-step explanation:
solve for slope:
(6-2)/(12+4) = 1/4
solve for b:
6 = 12(1/4) + b
6 = 3 + b
b = 3
equation can also be y = 1/4x + 3
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.
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
Negative slope?
WILL MARK BRAINLIEST!!! !!
(picture included^^^)
Answer:
y= -3/-1
Step-by-step explanation:
hope it helps.
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
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
Please help me out!
3. An isosceles right triangle is a right triangle with congruent legs. If the length of each leg is represented by x, what algebraic expression can be used to represent the length of the hypotenuse? Explain your reasoning
please don't answer if you don't know
Answer:
Step-by-step explanation:
right triangle means Pythagorean theorem!
a^2+b^2=c^2
if each leg (a and b) = x, then
x^2+x^2=c^2
2x^2=c^2
solving for c by taking the square root of both sides leaves
c=x×sqrt(2)
c must be positive since its a length, so no need for a +- I. this case
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
Math Trick
43 x 67 = ?
Answer:2881
Step-by-step explanation:
Answer:
2881
Step-by-step explanation:
plz help idk what is the answer will give a good review
Answer:
Step-by-step explanation:
I can't read it very well. If it says
5(6n-4)+2=68
30n-20+2=68
30n=86
n= 43/15 or 2 13/15
If it says
5(6n-4)-2=68
30n-20-2=68
30n=90
n= 3
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.
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!
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
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.
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.
-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 : )
On Your Own
4. A puppeteer is making a triangular hat for a puppet. If two of the three
angles of the hat both measure 30°, what is the measure of the third angle?
Answer:
Step-by-step explanation:
E