Answer:
1. X^2+1/2x = [tex]x(x+\frac{1}{2})[/tex]
2. X^2+2x-3 = [tex](x-1)(x+3)[/tex]
3. (2x-3)^2 = (2x-3)(2x-3)
4. X^3+2x^2-19x-20 = [tex](x+1)(x-4)(x+5)[/tex]
Step-by-step explanation:
Each expression can be written as a product of linear factors as follows
1. X^2+1/2x ⇒ [tex]x^{2} + \frac{1}{2}x[/tex]
[tex]x^{2} + \frac{1}{2}x[/tex] = [tex]x(x+\frac{1}{2})[/tex]
Hence, X^2+1/2x = [tex]x(x+\frac{1}{2})[/tex]
2. X^2+2x-3 ⇒ [tex]x^{2} +2x-3[/tex]
[tex]x^{2} +2x-3 = x^{2} +3x-x-3[/tex]
[tex]x^{2} +3x-x-3 = x(x+3) -1(x+3)[/tex]
[tex]x(x+3) -1(x+3) = (x-1)(x+3)[/tex]
Hence, X^2+2x-3 = [tex](x-1)(x+3)[/tex]
3. (2x-3)^2 ⇒[tex](2x-3)^{2}[/tex]
[tex](2x-3)^{2} = (2x-3)(2x-3)[/tex]
Hence, (2x-3)^2 = (2x-3)(2x-3)
4. X^3+2x^2-19x-20 ⇒ [tex]x^{3}+2x^{2} -19x -20[/tex]
[tex]x^{3}+2x^{2} -19x -20 = (x+1)(x^{2} +x-20)[/tex]
First,
[tex]x^{2} +x-20 = x^{2} +5x-4x-20\\x^{2} +5x-4x-20= x(x+5)-4(x+5)\\x(x+5)-4(x+5) = (x-4)(x+5)[/tex]
∴ [tex](x+1)(x^{2} +x-20) = (x+1)(x-4)(x+5)[/tex]
Hence, X^3+2x^2-19x-20 = [tex](x+1)(x-4)(x+5)[/tex]
Jeremy drove his motorcycle 120 miles in 3 hours. At this rate, how many
miles can he drive in 5 hours? At what rate did he drive his motorcycle?
120 miles
160 miles
200 miles
240 miles
Answer:
Jeremy drove 240 miles in 5 hours
Fill in the blanks and explain the pattern.
1, 4, 9, 16, 25, ___, ___, ___, ___, 100
Answer:
36, 49, 64, 81
Step-by-step explanation:
The pattern goes up in odd numbers (+3, +5, +7 ...)
Please help I have tried to solve this problem but have no clue any help will be appreciated thank you so much :)
Answer:
x=18
Step-by-step explanation:
Let look at the triangle. Look at side JUI. Notices how it says JU is congruent to UI. By this definition, U must be the midpoint of J and I. The same applies for line JTK. T is the midpoint of J and K. Since J is the vertex of the triangle between K and I. Triangle JUT is the midsegment of triangle KJI. Using the triangle midsegment theorem, UT is parallel to KI Also. The theorem also states that UT is half the length of KI Also.
This is the theorem,
The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long
So the equation is
[tex]2(3x - 43) = 4 + x[/tex]
[tex]6x - 86 = 4 + x[/tex]
[tex]5x - 86 = 4[/tex]
[tex]5x = 90[/tex]
[tex]x = 18[/tex]
WILL GIVE BRAINLIEST!
Use the formula N = t2 − t/2, where N is the number of basketball games that must be scheduled in a league with t teams if each team is to play every other team once.
A league has 45 games scheduled. How many teams are in the league if each team plays every other team once?
teams
Answer:
t=7
Step-by-step explanation:
N=45
find t
45=t^2-t/2
0=t^2-t/2-45
use the quadratic formula
t=6.96~=7
Answer:
Step-by-step explanation:
45 = t2 - t/2
45 = 30(2) - 30/2
45 = 60 - 15
45=45
Of 300 dentists surveyed, 60% said they recommend flossing twice a day. How many dentists recommend flossing twice a day?
A. 360 dentists
B. 450 dentists
C. 180 dentists
D. 36 dentists
Answer:
C
Step-by-step explanation:
Do 300 x 0.6=180
Will someone make me
Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
Plzzzzzz it is due at 8:00 tonight
Answer:
x+5=12
x+7=15
x+ 1/2=1
x+1/3=1
4(x+1)= 8
1.5+x=3
Olivia is 5 years older than Nicole. The sum of their ages is 35. How old is each girl?
Step-by-step explanation:
how this helps!
Factorise 12-8x
How would u find it out
Answer:
8x+12
Simplifying
8x + 12
Reorder the terms:
12 + 8x
Factor out the Greatest Common Factor (GCF), '4'.
4(3 + 2x)
Final result:
4(3 + 2x)
HOPE IT HELPED YOUSimplify -5(4x-3) please help?
Answer:
-20x+15
Step-by-step explanation:
You use foil method so you distribute it and it becomes -5*4x amd -5*-3 so it would be -20x+15
-5 x 4x=-20x and -5x x -3 = +15
-20x+15 is the answer
Sam is needing to make copies of a flyer for his new business. Store W charges $5 for unlimited copies and store Z charges $0.20 per copy and $2 for using the machine.
How many copies makes both stores cost the same amounts?
Answer:
15 dollars
Step-by-step explanation:
Store W charges 5 dollars for unlimited copies, so the number of copies does not matter for store W.
Because store W offers unlimited copies for $5, that will be the amount that store Z has to charge to be the same amount.
Now, we know that store Z charges you 2 dollars at the start for the use of the machine, so you subtract from the total amount from store W, 5 dollars.
5-2=3
So now you have 3 dollars to pay for the copies from store Z.
Each copy from store Z costs $.20.
Divide 3 by .20
3/.20=15
If the simple interest on $7,000 for 4 years is $1,400, then what is the interest rate?
Answer:
R=5%/year
Step-by-step explanation:
R = 5%/year
Equation:
r = I / Pt
Calculation:
Solving our equation
r = 1400 / ( 7000 × 4 ) = 0.05
r = 0.05
converting r decimal to a percentage
R = 0.05 * 100 = 5%/year
The interest rate required to
accumulate simple interest of $ 1,400.00
from a principal of $ 7,000.00
over 4 years is 5% per year.
Hurry please
which number line shows all the values of X that make the inequality -3x+1<7 true?
a
b
c
d
Answer: D x > -2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Scientific notation of 0.000125
Answer:
1.25 × 10^-4
Step-by-step explanation:
Move the decimal until it's at 1.25. You had to go right 4 times so it's negative. If it were 12500 then you'd do it until it was 1.2500 which would be going left so it'd be a positive 4
(2x+2)(3x+1) Multiply the binomials
Please show Step-by-Step
Answer:
2(x+1)(3x+1)
Step-by-step explanation:
(2x+2)(3x+1)
Apply the distributive property by multiplying each term of 2x+2 by each term of 3x+1.
6x^2+2x+6x+2
Combine 2x and 6x to get 8x.
6x^2+8x+2
Answer:
6x²+8x+2
Step-by-step explanation:
multiply each ferm in the first set of parenthess by each term in the second parentheses (FOIL)
2x times 3x +2x+ 2x times 3x+2
6x+2x+2 times 3x +2
6x²+2x+6x+2
now collect like terms
6x²+8x+2
Please help! Trying to figure out how to do this two problems!
pleaseeee help me!!! DUE IN 15 MIN
Answer:
∠Y = 55°
Step-by-step explanation:
Since triangle ABC and XYZ are congruent, that means that...
∠A = ∠X
∠B = ∠Y
∠C = ∠Z
Since ∠Y = ∠B and ∠B = 55°, that means ∠Y = 55°.
Please answer quickly!!!
Need help
Answer:
A- the graph of f(x) is shifted 7 units down
Step-by-step explanation:
PLEASE HELPPPP I'LLL GIVE BRAINLISTS
Answer: A
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
For one scientific notation will not work with negative exponents therefore we can eliminate answer choices A and D
Secondly scientific notation usually has a decimal
Answer choice c does not have a decimal point leaving us with answer choice B
24/02/21
am below depicts a sow with a litter of piglets that nee
grow. The sow is housed in a furrowing pen that has a
he nutritional requirements of the piglets, the farmer m
ferent types of feeds and supplements as follows:
ns, vitamins A, B complex, D and E and calcium (Ca
ce elements or micro-elements.
AO E compex
97
V
8a2 = 12 + a plzzzzzzzzzzzzzzzzzzzzzzzzzz help me slove this problem
Answer:
1.28
Step-by-step explanation:
Assuming in 8a2 the '2' represents an exponent, you answer should be
1.28
Mathhh- PLEASE ANSWER
Answer:
d)
Step-by-step explanation:
turn 9x + y = 8 to slope intercept form
9x + y = 8
-9x -9x
y = -9x + 8
m = -9
y intercept = 8
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
PLS ANSWER PLSSSS. THERES AN ATTACHMENT.
Answer:
40
Step-by-step explanation:
I'm having trouble solving the system of linear equations. This is the system: 5x + 6y = 50 x - 6y = -26 Can you please help me? Don't give the answer, but can you just explain?
Answer:
y = 5 ; x = 4
Step-by-step explanation:
Given :
5x + 6y = 50 - - - (1)
x - 6y = -26 - - - (2)
From (2)
x = - 26 + 6y
Put - 26 + 6y for x in (1)
5(-26 + 6y) + 6y = 50
-130 + 30y + 6y = 50
-130 + 36y = 50
-130 - 50 = - 36y
-180 = - 36y
y = 180 / 36
y = 5
Put y =5 in x = - 26 + 6y
x = - 26 + 6(5)
x = - 26 + 30
x = 4
y = 5 ; x = 4
Consider the sequence 1, –3, 9, –27, 81, … Which statement describes the sequence?
The sequence diverges.
The sequence converges to 0.
The sequence converges to 1.
The sequence converges to ∞.
Answer:
There is a similar problem with the same numbers except with no negatives so it goes 1 , 3 , 9 , 27, 81 for this question the answer is that it diverges.
Step-by-step explanation:
It was on the unit test review for edge and the answer was that it diverges.
This is about understanding the behavior limits of sequence.
The sequence diverges.
The given sequence is;1, –3, 9, –27, 81,...
Now, from the sequence above, we can see that each number is multiplied by -3 to get the next one in the sequence. From mathematical definition, A divergent sequence is one in which the values are approaching an infinite value which could either be positive or negative whereas if it is a convergent sequence it will be approaching 0. In this sequence given, we can see that the values are increasing to either positive or negative and as such it will keep changing till an infinite positive or negative value which corresponds with the definition of a divergent sequence as earlier defined.• Thus, the sequence is a divergent one.
Read more at;
brainly.com/question/23452908
math - select all that apply
Answer:
a
Step-by-step explanation:
both the end points are around the same number
Aurionna wants to earn at least $105 from her two jobs next week. At most, she can work 20 hours. Her first job pays $8 per hour, and her second job pays $9 per hour. Let I represent the number of hours worked at the first job and y represent the number of hours worked at the second job. Which system of linear inequalities models Aurionna's
situation?
Plsss explain how to do it
Answer:
I=10 Y=10
Step-by-step explanation:
if she wants to earn $105 and only can work 20 hours then she would have to work 10x8=80 10x9=90
90+80=170
I=10
y=10
I hope this helps if it does can i be the brilliantist
please help, I have so much work to do, and I have to fit in time to study for a huge test they will determine my future
fill in the 5 blanks
Answer:
11
13
15
23
Step-by-step explanation:
you substitute each x value in the table with the x in the equation
f(x)= 2x+13
f(x)= 2(-1)+13 .... repeat for each
11
13
15
17
20
In order from the top
A 30 foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 21 feet from the base of the building how far above the ground is the point where the ladder touches the building
Answer:
21.42ft
Step-by-step explanation:
a²+b²=c² where "c" is the hypotenuse of a right triangle and "a" and "b" are the two other sides
now let's plug in the values
21²+b²=30²
b²= 30² - 21²
b²= 459
b= 21.42
n the diagram below, k· l AC intersects nBDE at B. Choose Tr u e or False for each statement.
A cereal brand is on sale $2 for 32 oz. If Sally spent $8 on the cereal, how many ounces did she purchase?
Answer:
it would be 128 because 8 divded 2 is 4. 4 is the number of cereal boxes now multiply 4 x32 which would be 128
An account earns simple interest. (a) Find the interest earned. (b) Find the
balance of the account.
750 at 8% for 2 years
Answer:Simple interest is money earned on a savings account or an investment. ... 45. Multiply. The interest earned is $45 after 3 years. b. To find the balance, add the interest to ... 2. You put $1000 in an account. The account earns $100 simple interest ... of $10,000 to earn $750 interest? ... interest earned on $200 after 8 months.
Step-by-step explanation: