Answer:
[tex](x + 2)(5x + 2)[/tex]
Step-by-step explanation:
What we would normally do when factoring a polynomial is find the greatest factor, but in this case, there is none. What we do then is multiply the coefficient of the first term by the last term.
So in this case, that expression would be...
[tex]5 * 4 = 20[/tex]
Then, we have to find two factors of 20 that, when added together, equal the second term's coefficient (12).
These factors would be 2 and 10.
[tex]2 * 10 = 20\\\\2 + 10 = 12[/tex]
We then replace the second term in the polynomial with [tex]10x + 2x[/tex]. This ends up looking like this:
[tex]5x^2 +10x + 2x +4[/tex]
Keep in mind that this did not change the value of the polynomial, as 10x + 2x still equals 12x.
This new expression lets us use a technique called group factoring. To start group factoring, we need to take out the greatest common factor (GCF) of the first two terms. That ends up looking like this:
[tex]5x(x + 2)[/tex]
Then, we do the same thing with the last two terms.
[tex]2(x + 2)[/tex]
We know we're on the right track at this point, because the expressions inside the parenthesis in both GCFs are the same.
The last step is combining the terms on the outside of the parenthesis, and multiplying it with what's inside the parenthesis. The final answer looks like this.
[tex](x + 2)(5x + 2)[/tex]
In myrtle beach, the maximum height off the water a parasailor can be is 500 feet. I the rope is 800 feet long, about how many feet from the boat is the parasailor to the nearest tenth?
Answer:
624.5 feet
Step-by-step explanation:
Calculation to determine how many feet from the boat is the parasailor
Based on the information given we would make use of Pythagorean theorem to determine how many feet from the boat is the parasailor using this formula
a²+b²=c²
First step is to plug in the formula by substituting the given value
500²+b²=800²
Second step is to evaluate the exponent
250,000+b²=640,000
Third step is to substract 250,000 from both side and simplify
250,000+b²-250,000=640,000-250,000
b²=390,000
Now let determine how many feet from the boat is the parasailor
Parasailor feet=√b²
Parasailor feet=√390,000
Parasailor feet=b=624.49
Parasailor feet=b=624.5 feet (Approximately)
Therefore how many feet from the boat is the parasailor will be 624.5 feet
Tue diameter of a bike is 27 inches if the wheel makes 15 complete rotations how far does the bike travel?
Answer:
1271.7 inches
Step-by-step explanation:
Given
[tex]d = 27in[/tex]
[tex]Rotations = 15[/tex]
Required
The total distance moved
First, we calculate the circumference of the wheel
[tex]c = \pi *d[/tex]
[tex]c = 3.14 * 27[/tex]
[tex]c = 84.78[/tex]
This represents the distance traveled in one complete rotation.
So, in 15 rotations.
[tex]Total = 15 * 84.78[/tex]
[tex]Total = 1271.7[/tex]
What's the equation to use to solve x?
Which amount is largest?
1 kg
1 dg
100 g
1,000 mg
Answer:
1 kg here you go this is the answer
3. A runner sprints 50 ft each day for 7 days. How many inches does she sprint during this week? (Again please hurry)
Answer: The runner will sprint 4,200 inches during this week
Step-by-step explanation:
50 * 7 = 350
350 * 12 = 4200
Answer:
It's 4200in
in feets its 350ft
Step-by-step explanation:
URGENT!!!!HELP!!!!PLS!!!NOW!!!!!!HURRY!!!
Answer:
I'm guessing it's 4 i think but sorry if it's wrong
Step-by-step explanation:
3. Savannah estimates that her dog weights 30
pounds. When she takes her dog to the vet for
his check-up, the dog is placed on the scale and
actually weights 32.5 pounds. What was
Savannah's percent of error of her estimate?
Round to the nearest percent.
Answer:
8%
Step-by-step explanation:
maths equation : solve (2 - x)² < 4/25
Answer:
8/5 < x < 12/5
Step-by-step explanation:
(2 - x)² < 4/25
2 - x < ±2/5
2 - x < 2/5
-x < -8/5
x > 8/5
2 - x > -2/5
-x > -12/5
x < 12/5
Therefore, your answer is 8/5 < x < 12/5
Who else is a member of the church of Latter Day Saints
Answer:
Step-by-step explanation:
Answer:
MEEEEEEEEEEEEEE!!!
Mrs. DeRossett's sister goes to the bank to get a loan to purchase a new home. The bank advises that she make sure her mortgage payment does not exceed 30% of her monthly take home pay. If Mrs. DeRossett's sister makes roughly $5,000 per month, then what would be her recommended maximum monthly mortgage?
Answer:
1,500
Step-by-step explanation:
Which of the following properties is represented by the calculations in the photo?
A) multiplication property of equality
B) zero sum property
C) addition property of equality
D) zero product property
Answer:
D. zero product property
Step-by-step explanation:
Base on the Zero Product Property, if the product of factors gives us 0, either of the factors or both would equal 0.
Thus,
xy = 0, therefore,
x = 0 or y = 0
Therefore, the property that is represented by the calculation given in the photo is Zero Product Property.
X/8 < -1 please help
Answer:
x<-8
Step-by-step explanation:
x/8<-1
x<-1×8
x<-8
I need help I’ll appreciate if you help thank you
Answer:
b
Step-by-step explanation:
u start at (0,9.5) and with every increasing x value the y value is decreasing by .5 units
Show me the work to 4x-4<8 and 9x+5>23. The answer is already shown. (Geometry )
Answer:
transpose -4 to left
and 5 to left
subtract and and after transpose you will have a sign change
then you can divide
12/4,18/9
so,
x<2,x>3
6. Brandon and Charlotte Snifflesworth are visiting three of Americas top tourist attractions. The Snifflesworths
live close to Disney World in Orlando, Florida. They decided to start their trip at Disney World before traveling to
San Francisco, California to see the Golden Gate Bridge and then to Minneapolis, Minnesota to go shopping at the
Mall of America. The bearing from Disney to the Golden Gate Bridge is North 65° West. The bearing from the
Golden Gate Bridge to the Mall of America is North 80° East. The bearing from Disney to the Mall of America is
North 30° West and the distance traveled is 1,320 miles. Find all missing interior angles and distances created from
their triangular trip to America's top tourist attractions. Also find the bearing from the Mall of America to
Disneyland.
Answer:
The distance from Disney to the Golden Gate Bridge is 2,162.56 miles
The distance from Mall of America to The Golden Gate Bridge is 1,320 miles
The interior angle at The Golden Gate Bridge is 35°
The interior angle at Mall of America is 110°
The interior angle at Disney is 35°
The direction from Mall of America to Disney is South 30° East
Step-by-step explanation:
The bearing from Disney to the Golden Gate Bridge = North 65° West
The bearing from the Golden Gate Bridge to the Mall of America = North 80° East
The bearing from Disney to the Mall of America = North 30° West
The distance from Disney to the Mall of America = 1,320 miles
Let 'A', 'B', and 'C' represent the interior angles at Disney, The Golden Gate bridge and Mall of America respectively
From the drawing of the triangular trip, we find that the interior angle at C = The sum angles complementary to the bearings at B and at C
Therefore, the interior angle at C = (90° - 65°) + (90° - 80°) = 35°
The interior angle at B = The bearing of C from B - The bearing of A from B
∴ The interior angle at B = 65° - 30° = 35°
B = 35°
∠C = 35° and ∠B = 35°, therefore, the triangle is an isosceles triangle
The interior angle at A = 180° - (∠B + ∠A) = 180° - (35° + 35°) =110°
CA = AB = 1.320
By sine rule, a = sin(110) × 1320/sin(35) ≈ 2,162.56 miles
a = CB = 2,162.56 miles
Therefore, we have;
The distance from Disney to the Golden Gate Bridge = 2,162.56 miles
The distance from Mall of America to The Golden Gate Bridge = 1,320 miles
The interior angle at The Golden Gate Bridge = 35°
The interior angle at Mall of America = 110°
The interior angle at Disney = 35°
The magnitude of the bearing of Mall of America to Disney = The magnitude of the alternate angle to the bearing of Disney to Mall of America = 30°
∴ The direction from Mall of America to Disney = South 30° East
What type of triangle is this ?
Answer:
triangle bby
Step-by-step explanation:
Step-by-step explanation:
Right because there's an angle of 90
i'll give brainiest to who answers this pls help
Answer:
The answer is 126 square inches.
Step-by-step expalation
Find the value of X for which the following fraction is undefined
2x²+x-15
________
2/3x²-6
Answer: ±√2
Step-by-step explanation: A fraction is undefined when its denominator is =0 or undefined. so we need to get 2/3x²-6=0 or undefined. so we can also do 3x^2-6=0. Solving yields ±√2!
What is the length of AC?
Answer:
AC=6
Step-by-step explanation:
You can see that ABC is 4 times bigger that HIJ because of lines AB and HI. HI(with a value of one) had to be multiplied by four to equal AB (a value of 4). Use this same rule to find the side AC.
1.5(the length of HJ) times 4 =6.
Does anyone know how to do this because im confused.
Answer:
no but choose b if u don't know it it usually works for me sorry if I don't help :(
Answer:
y=-3x is the bottom right one
y=4x is the top middle
y=x-3 is the top right one
Step-by-step explanation:
I need help with this problem
Answer:
3
Step-by-step explanation:
4x-6=x+3
3x=9
x=3
substitute the two equations in for each other because they both equal x.
Susan paints a stack of 30 blocks in a pattern. Starting from the bottom, she paints every 3rd block red and every 5th block green. Wherever red and green land on the same block, she paints that block yellow.
The 3rd block from the bottom that is painted green is how many blocks up from the bottom?
Answer:
20 blocks
Step-by-step explanation:
16. You decide to drop a penny off the top of the Willis Tower (fromerly the Sears Tower) in Chicago, IL. The
height of the penny (in feet) can be represented by the equation h= -16t2 + 1451 where t is time (in seconds).
a) How long will it take for the penny to hit the ground? Show any work that leads to your answer.
Answer:
9.5 seconds.
Step-by-step explanation:
We know that the equation that represents the height of the penny as a function of time is:
h(t) = -16*t^2 + 1451
Where the height is in ft, and the time is in seconds.
a) We want to know how long takes the penny to hit the ground.
Well, the penny will hit the ground when its height is equal to zero.
Then we need to solve for t:
h(t) = 0 = -16*t^2 + 1451
0 = -16*t^2 + 1451
16*t^2 = 1451
t^2 = 1451/16 = 90.7
t = √90.7 = 9.5
This means that it takes 9.5 seconds to hit the ground.
Answer:9.5 seconds
Step-by-step explanation:you subtract
What is the relationship between the values p and q plotted on the number line below?
A. q>P
B. p= q
c. p> q
Answer:
A. q>p because, assuming this line starts somewhere after 0, this is positive progression
MY HEALTH TEACHER JUST DEFIED MATH APARENTLY 1+1=3 NOT 2
WHAT DOES SOMEONE SAY TO THAT
Answer:
I honestly am very confused
Step-by-step explanation:
On a certain hot summer's day, 344 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $537.00. How many children and how many adults swam at the public pool that day?
Answer: 302 children and 42 adults
Step-by-step explanation:
x= Children y= Adults
x+ y = 344
1.50x + 2y= 537
Then I would use elimination and multiply the first equation by -2.
-2x-2y= -688
+1.5x+2y= 537
Add the equations and get
-0.5x= -151
Divide by -0.5
x= 302
Then plug x back into the equation.
302+y=344
Subtract 302 from both sides.
y=42
(450) + (28.75x) = 967.50
solve for x
Answer:
x=18
Step-by-step explanation:
Answer:
x= 18
Step-by-step explanation:
To solve this equation you have to work backwards
Start by dealing with the numbers that we know:
450 + (28.75 × x) = 967.5
-450 -450
28.75x = 967.5
(when a number and a letter in mathematics are next to each other they are multiplying)
Now divide to find the value of x:
967.5 ÷ 28.75 = 18
18 is the value of x
Explain the characteristics of authoritarianism and identify two central Asian countries that have this type of government.
Answer:
Authoritarianism is a form of government in which the rulers, that is, those who exercise the political functions of the nation, carry out their tasks in an autocratic and centralized manner. Thus, they do not limit their power but, on the contrary, cling to it, at the expense of citizens' rights. A clear example of authoritarian governments that rule in Central Asian countries are Turkmenistan and Turkey.
Answer:
. . A clear example of authoritarian governments that rule in Central Asian countries are Turkmenistan and Turkey Thus, they do not limit their power but, on the contrary, cling to it, at the expense of citizens' rights Authoritarianism is a form of government in which the rulers, that is, those who exercise the political functions of the nation, carry out their tasks in an autocratic and centralized manner
a bag contains 15 red marbles, 15 white beads, 20 green beads, and 25 blue beads. What is the probability of randomly drawing a blue bead?
Answer:
1/3 or 33%
Step-by-step explanation:
15 + 15 + 20 +25 is equal to 75
25/75 is 1/3
Answer:
1 by 3
Step-by-step explanation:
15 + 15 + 20 + 25 = 75
so,
again,
25 divided by 75 is equal to 1 by 3Jasper spent $9.74 at the bookstore. He gave the clerk $10.00. Which shows the correct change jasper should get back? 24 cent, 26 cent, 34 cent, or 36 cent? I will make you brainlest
Answer:
26 cents
Step-by-step explanation:
S0, lets just subtract the 10 by the 9.74 to get our answer:
10-9.74
=
0.26
So, lets remember that there are 100 cents in 1 dollar.
So 1 cent would be: 0.01
Our answer we got above is 0.26
So that must be 26 cents.
Answer:
26
Hope this helps! ;)