Answer:
Step-by-step explanation:
[tex]x^2 - 2x = 120\\x^2 - 2x - 120 = 0[/tex]
We have to find the factors of 120 that can either add up to or have a difference of 2.
The factors of 120 are:
[tex]\pm 1, 120, 2, 60, 3, 40, 4, 30, 5, 44, 6, 20, 8, 15, 10, 12...[/tex]
The difference of 10 and 12 is 2. In the equation, since the 2 is negative, the larger number must be subtracted, so the factorized form is:
[tex](x+10)(x-12)[/tex]
-8 - x = x - 4x
how does x equal to 4 and how do u do this
Answer:
x=4
Step-by-step explanation:
-x=-3x+8
-x+3x=-3x+8+3x
2x=8
2x/2 = 8/2
x = 4
Solve (x-4)^2 = 5
A. x= 4 +- square of 5
B. x= 9 and x= -1
C. x= 5 +- square of 4
D. x= -4 +- square of 5
Answer:
A
Step-by-step explanation:
Assuming you mean the square root of five, then the answer is A.
You start by taking the square root of both sides.
√(x - 4)^2 = ±√5
x - 4 = ±5
x = 4 ±5
Is every relation also a function? Explain
Answer:
no
Step-by-step explanation:
they are not
Answer:
Step-by-step explanation:
In fact, every function is a relation. However, not every relation is a function. In a function, there cannot be two lists that disagree on only the last element. This would be tantamount to the function having two values for one combination of arguments.
Read the excerpt from A Short Walk Around the Pyramids and through the World of Art.
This is another bronze sculpture, and it is also in a museum. Called Knife Edge Mirror Two Piece, it is a huge work by the British sculptor Henry Moore and stands at the entry of the East Building of the National Gallery of Art in Washington, D.C.
Which text feature would best help readers understand important details in this excerpt?
a drawing of British sculptor Henry Moore
a picture of Knife Edge Mirror Two Piece
a drawing of Henry Moore
a table numbering the sculptures in the East Building
Answer:
B. a picture of Knife Edge Mirror Two Piece
Step-by-step explanation:
pls give brainliest, u don't have to
Did it on edge, hope u have a good day :)
Answer:
b
Step-by-step explanation:
Ernie Bilko has a business idea. He wants to rent an abandoned gas station for just the months of November and December. He will convert the gas station into a drive-through Christmas wrapping
station. Customers will drive in, drop off their gifts, return the next day, and pick up their wrapped gifts. He needs $332,200 to rent the gas station, purchase wrapping paper, hire workers, and
advertise. If he borrows this amount at 61% Interest for those two months, what size lump sum payment will he have to make to pay off the loan? (Round your answer to the nearest cent.)
Correction is the question: 6[tex]\frac{1}{2}%[/tex]% = 6.5%
Answer:
Amount to be repaid is $335798.833
Step-by-step explanation:
Amount of loan = $332,200
Rate of interest = 6.5%
time = 2months = 2/12 = 1/6 years
The amount of interest is simple interest
SI = [tex]\frac{P * R * T}{100}[/tex]
=[tex]\frac{ 332200 * 6.5 *1 }{100 * 6}[/tex]
= $3598.833
Final amount to be repaid = 332200+ 3598.833
= $335798.833
A forest covers 66,000 acres. A survey finds that 0.2% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answer:
132
Step-by-step explanation:
easy 66,000 * .002
Sofia measured a line to be 8.9 inches long. If the actual length of the line is 8.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer:
2.2%
Step-by-step explanation:
Use the percent error formula:
% error = | (approx - exact) ÷ approx | x 100
Plug in the approx. and exact values:
| (8.9 - 8.7) ÷ 8.9 | x 100
| (0.2) ÷ 8.9 | x 100
= 2.2
So, the percent error is 2.2%
Answer:1.2%
Step-by-step explanation:
∣experimental−actual∣
×100
The formula
∣
8.7
−
8.6
∣
8.6
×
100
8.6
∣8.7−8.6∣
×100
Plug in values
∣
0.1
∣
8.6
×
100
8.6
∣0.1∣
×100
Subtract
0.1
8.6
×
100
8.6
0.1
×100
Take the absolute value
0.0116279
×
100
0.0116279×100
Divide
1.16279
1.16279
Multiply by 100
1.2
%
1.2%
Complete the real-world situation that could be modeled by the equation 150 − 8x = 170 − 12x. Xavier has $150 in his lunch account. He spends $ for lunch each day. Zack has $ in his lunch account. He spends $ each day. After how many days will the boys have the same amount of money in their accounts?
Answer:
5 days
Step-by-step explanation:
The question above is modeled by the equation :
150 − 8x = 170 − 12x.
After how many days will both have ye same amount :
Number of days = x
Collect like terms
-8x + 12x = 170 - 150
4x = 20
x = 20/4
x = 5 days
The boys will have the same amount in their account after 5 days.
Find EF. Please help!
Answer:
EF = 7 + 39 = 46
Step-by-step explanation:
EF = FG
x + 39 = 7x - 3
39 + 3 = 7x - x
42 = 6x
x = 42/6
x = 7
hope this helps :)
estimate 12/26 + 6/11
Answer:
12/26 + 6/11 = 12+6/11 ............
In 2010 the Network Club membership was 2,500. With an annual growth rate of approximately 8%, compounded continuously, what will the membership be in 2020?
Answer:
5563.85 But round the nearest whole number is 5564
Step-by-step explanation:
Formule is P=Ie^(r)(t)
If, In 2010 the Network Club membership was 2,500. With an annual growth rate of approximately 8%, compounded continuously, then 5563.85 is the population in 2022.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
In 2010 the Network Club membership was 2,500.
Annual growth rate of approximately 8%
8% is converted to decimal value by dividing 8 with 100
8/100=0.08
[tex]P=Ie^{rt}[/tex]
p is the final population
I is the initial population
[tex]p=Ie^{0.08(10)}[/tex]
[tex]p=2500e^{0.8}[/tex]
p=5563.85
Hence, 5563.85 is the population in 2020.
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identify the coefficient in the term 7x^2y^3
A) 7
B) 3
C) 2
the first step in solving 5 1/2 = 2 2/7 + n/4 is to subtract 2 2/7 from both sides of the equation.
A) True
B) False
the first step in solving 7/8 = 3x - 5/11 is to subtract 5/11 from both sides of the equation.
A) True
B) False
Thanks love ♡
Answer:
1-7
2-True
3-True
Step-by-step explanation:
1-A
2-true
3-True
Write the equation of the line that goes through the point (1,3) & is
PARALLEL to the line y=2x+8 *
Answer:
y = 2x + 1
Step-by-step explanation:
Let the equation of the line be y = mx + c
since it is parallel to y = 2x + 8, their slope/gradient is the same (aka m = 2)
sub (1, 3):
3 = 2(1) + c
c = 1
therefore, the equation is y = 2x + 1
This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Find x, AB, BC, AC if △ABC is isosceles with AB = BC.
Step-by-step explanation:
Since we are not given the required parameters, we can use the following parameters
Given:
∠ A = 5 x + 30 °
∠ B = 2 x
Since △ABC is isosceles with AB = BC, then ∠ A = ∠ C (the base angles of an isosceles triangle are equal)
Since sum of angle in a triangle are the same, then;
∠ A + ∠ B + ∠ C = 180°
Substitute the given functions and get x;
5x+30 + 2x + 5x+30 = 180
12x + 60 = 180
12x = 180-60
12x = 120
x = 120/12
x = 10°
∠ A = 5x+30
∠ A = 5(10)+30
∠ A = 80°
Since ∠ A =∠ C
∠ C = 80°
For ∠ B;
∠ B = 2x
∠ B = 2(10)
∠ B = 20°
Let AB = 1, since AB = BC, BC = 1
To get AC, use the sin rule;
a/sin∠ A = b/sin∠ B
a/sin80 = 1/sin20
asin20 = sin80
a = sin80/sin20
a = 0.9848/0.3420
a = 2.879
Hence AC ≈ 3
Note that the values of the sides and angles are assumed.
Someone help me please I don’t know how to do this
Step-by-step explanation:
A
y=10x
x:y=x:10x=1:10
please help asap! xoxo
Answer:
First one obv false
the second one since they all times 3/4 so yes
what's the greatest common factor of 90 and 135
Answer:45
Step-by-step explanation:
the factors for 90= 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
the factors for 135=1,3,5,9,15,45
the highest numbers that is divide both numbers is 45
amy jogs 1/3 of a mile in 1/15 of an hour while john takes 1/30 of an hour to jog 1/5 of a mile if they continued at this who would jog the farther in one hour and by how much
Answer:
John would jog 1 more mile than any
Step-by-step explanation:
If you solve for the rate of which they both jog you would know that John jogs 6 miles an hour and Amy would jog at a rate of 5 miles an hour
A forest fire wipes out many trees in an ecosystem. The main limiting factor would be
a.water
b.shelter
c.herbivores
d.predators
Which is an example of quantitative data?
A the number of textbooks in a classroom
B. the condition of the textbooks in a classroom
C. the ID numbers of the textbooks in a classroom
D. the colors of the textbooks in a classroom
Answer:
A. the number of textbooks in a classroom
Step-by-step explanation:
quantitative data is information about quantities; that is, information that can be measured and written down with numbers.
What is the average rate of change in profit from Hour 5 to Hour 10?
Answer:
d
Step-by-step explanation:
so at 5 hours he was at a profit of 900 and 5 hours later he is at a profit 1500 then you can sub tract 900 from 1500 which gives you 600
$600 is the average rate of change in profit from Hour 5 to Hour 10
What is Rate of change?A rate of change is a rate that describes how one quantity changes in relation to another quantity
The given table is
Hour Profit
0 $0
2.5 $500
5 $900
7.5 $1200
10 $1500
5 hours the profit is 900 and 5 hours later he is at a profit 1500
We need to subtract 900 from 1500 to find the average rate of change.
1500-900=600
Hence $600 is the average rate of change in profit from Hour 5 to Hour 10
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7. Give an example of a real number that is not rational.
Answer:
3.14
Step-by-step explanation:
Has this app helped u
Answer:
Discoveries and scientific and technical inventions do not influence the behavior of people, but their lives do
Step-by-step explanation: what app and ok
Determine which equation is parallel to line JK and which is perpendicular to line JK. [5x - 3y = 8 [6x - 10y=7 15x + 3y = 13 (6x + 10y = 11 YA +10 -8 - 10 10 -6 -2 6 2 2 8 10 Parallel Line Perpendicular Line
Answer:
5x + 3y = 13 parallel.
6x - 10y = 7 perpendicular.
The equation which is parallel to the line JK is
a) Parallel is 5x + 3y = 13
b) Perpendicular is 6x - 10y = 7
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be J ( -5 , 5 )
Let the second point be K ( 1 , -5 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 5 - ( -5 ) ) / ( -5 - 1 )
m = 10 / -6
m = -5/3
The parallel lines have same slope and the perpendicular lines have the negative reciprocal of slope
So , the equation of line parallel to JK is 5x + 3y = 13
And , the equation of line perpendicular to line JK is 6x - 10y = 7
Hence , the equation of line is solved
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i need help on my finals
Answer:
Slope of line A is 1/3
Equation of Line B is y = 2x + 4
Holly's checking account has a dollar balance. Emily's checking account has a dollar balance. Which of the following is true about their account balances?
A.
Holly's account balance > Emily's account balance
B.
Holly's account balance < Emily's account balance
C.
Holly's account balance = Emily's account balance
Answer:
C
Step-by-step explanation:
Both Holly and Emily have the same account balance thus it is equal to
Answer:
Dont listen to the person its actually B
Step-by-step explanation:
On a number line, smaller numbers are to the left of larger numbers.
Negative values are always less than positive values.
So, the following is true.
Holly's account balance < Emily's account balance
4.What number falls between -28 and -34 on the number line?
A.-29
B. 0
C.-25
D. -35
Answer this CORRECTLY! The question will be placed first, I'll place the graphs and in order from A - D, then I want to see what you can do. 100 Points Sounds Nice....
Answer:
Option D
Step-by-step explanation:
x-axis is the Celsius and
y-axis is the Farenheit
If you look at the points in the table, you will notice that the only graph that contains points (0,32), (10,50), (15,59) is option D. You can assume point (30,86) will also be in the graph by looking at the way the line is going.
This is the same as graphing a line with a point (x,y).
I hope this helps.
The measures of the angles of a triangle are shown in the figure below. Solve for X
Answer:
34Step-by-step explanation:
Sum interior of triangles add up to 180 degrees. So add 103 + 43 to get 146 then subtract 180 - 146 to get 34 as the last missing angle of the triangle
Answer:
34
Step-by-step explanation:
103+43=146
a triangle always adds up to 180 degrees
180-146=34
so that's the workings hope the answers right
Huilan is 15 years younger than Thomas. The sum of their ages is 65. What is Thomas's age?
Answer:
40 years
Step-by-step explanation:
Hulian and Thomas together is 65 years
let us suppose hulian is X
now, so Thomas is x+15
so x+x+15=65
so 2x = 65-15
2x=50
x=25
Hulian is 25
and Thomas is 25+15=40
Answer:
Thomas's age: 40
Step-by-step explanation:
We have:
Thomas's age - Huilan's age = 15 (1)
Thomas's age + Huilan's age = 65 (2)
Add 1 and 2 we have :
2T = 65+15
<=>2T = 80
[tex]<=>T=\frac{80}{2} =40[/tex]
So Thomas's age is 40.
P/s: T is Thomas's age