Answer:
1 + root 5, 1 - root 5
Step-by-step explanation:
I assume you mean 3x^2-6x-12=0.
First, note that you can divide both sides by 3. You get:
x^2-2x-4=0
Use the quadratic equation.
[tex]x=\frac{2\pm\sqrt{4+16}}{2}=\frac{2\pm2\sqrt{5}}{2}=1\pm\sqrt{5}[/tex]
Therefore, x=1 + root 5, 1 - root 5
Nancy is checking to determine if the expressions x + 4 + x and 6 + 2 x minus 2 are equivalent. When x = 3, she correctly finds that both expressions have a value of 10. When x = 5, she correctly evaluates the first expression to find that x + 4 + x =14.
Complete question is:
Nancy is checking to determine if the expressions x+4+x and 6+2x-2 are equivalent. When x=3 , she correctly finds that both expressions have a value of 10. When x = 5, she correctly evaluates the first expression to find that x + 4 + x = 14. What about the second expression?
Answer:
when x = 5; both expressions are equivalent and equal to 14
Step-by-step explanation:
We are told the expressions are:
(x + 4 + x) and (6 + 2x - 2).
We are also told that when x = 3,both expressions are equal and have a value of 10 each.
Now, when x = 5; we are told the expression (x + 4 + x) has a value of 14.
So when x = 5,let's find the value of the second expression by putting 5 for x in (6 + 2x - 2);
So, we have; 6 + 2(5) - 2 = 6 + 10 - 2 = 14
So when x = 5; both expressions are equivalent and equal to 14
Find x. I need it ASAP
Answer:
x = 27°
Step-by-step explanation:
Because of the two parallel lines, we can conclude that
corner DAB = corner FDE = 2x
In ∆DAB
Corner DAB = 2x
Corner BDA = 2x (given)
Corner ABD = 72 (given)
The sum of three corners in any trianle, adds up to 180°.
So if one corner is 72° and the other two corners are the same, then the two corners together, must be 180-72 = 108°.
For each corner that is 108/2= 54
so corner BDA = 54° and also corner DAB = 54°.
Given was BDA = 2x and BDA = 54°
so 2x = 54°
then x = 27°
Four friends’ typing speeds are shown. Who is the fastest? Monica: 10 words in 1 4minute Rachel: 55 words in 5 6minute Charlie: 42 words in 3 4minute Daniel: 25 words in 1 2minute
Answer:
Daniel
Step-by-step explanation:
By far
To celebrate his soccer team's last game of the season, Grayson is making 4 batches of
chocolate chunk brownies. If Grayson's recipe calls for 500 grams of sugar per batch, how
many kilograms of sugar should he buy?
multiply 500 by 4 to know how much is needed in grams first
500×4 = 2000
convert 2000grams to kilograms
since 1000grams make 1 kilograms....then divide 2000 by 1000
which would give you 2000/1000
answer = 2kg of sugar
Answer:
The answer is 2
Step-by-step explanation:
Oil flows back and forth between a small and large tank. When oil is moving into the large tank, the flow rate is
positive. When oil is moving into the small tank, the flow rate is negative.
The large tank begins with 600 gallons of oil. The flow rate is recorded as-4 gallons per minute. After a period of 32
minutes, how much oil has been moved and to which tank?
1289 into the large v tank.
After the 32 minutes, how much oil is in the large tank? gallons
Answer:
✔ 128
into the
✔ small
tank.
After the 32 minutes, how much oil is in the large tank?
✔ 472
gallons
Step-by-step explanation: Just did it on Edge
Using the given flow rate and time we found that after a period of 32 minutes 128 gallons of oil is moved from large tank to small one. The oil in large tank after 32 minutes is 472 gallons.
What is rate of work done?Rate of work done is the amount of work done per unit time
rate of work done = amount of work / time taken
Given that flow rate is positive when oil is moving in large tank and rate of flow is negative when oil is moving in small tank
Given that flow rate is recorded -4 gallons per minute, which is negative .
It means that the oil is flowing in the small tank.
Rate of flow, r is 4 gallons per minutes , here work is oil flowing into a tank
Rate of flow, r = oil flown in a tank / time taken
Given that time, t = 32 minutes
∴ rate of flow × time taken = Oil flown in small tank
⇒ r× t = oil flown in small tank = 4 × 32 = 128 gallons
Initially oil in large tank = 600 gallons
Thus, 128 gallons are moved from large tank to small tank in 32 minutes
After 32 minutes remaining oil in large tank = 600 - 128 = 472 gallons
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Find the value of x. 7x+15=30
Answer: x=2.1
Step-by-step explanation:
[tex]7x+15=30[/tex]
[tex]-15[/tex] on both sides
7x=15
divide 7 on both sides
x=2.14
round
x=2.1
Answer:
x= 15/7
hope it helps!
Step-by-step explanation:
First state the equation:
7x+15=30
Bring 15 to the other side of the equation, making the (+) to (-)
So,
7x+15= 30
7x= 30-15
7x= 15
Bring 7 to the other side, it'll become 1/7
x= 15*1/7
= 15/7
= 2.14 in decimal form
Find the 10th term of the geometric sequence 1, 3, 9, .
Answer:
19683
Step-by-step explanation:
As the formula of the geometric sequence:
[tex]a_{n} =a_{1} *r^{n-1}[/tex]
In the sequence of 1, 3, 9..., you have a1 = 1 and r = 3. Therefore:
[tex]a_{10} =1 *3^{10-1} = 3^{9} =19683[/tex]
Hope this helps!
f f(x) = 3(x + 4), find f(2).
Answer:
f(2) = 18
Step-by-step explanation:
To evaluate f(2) , substitute x = 2 into f(x), that is
f(2) = 3(2 + 4) = 3 × 6 = 18
What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 2x + y - 1 = 0? 2x - y - 4 = 0 2x + y - 4 = 0 2x + y + 4 = 0
Answer:
2x + y - 4 = 0
Step-by-step explanation:
slope = -2
y = mx + b
2 = -2(1) + b
4 = b
y = -2x + 4
2x + y - 4 = 0
Answer:
the answer is 2x + y - 4 = 0
Step-by-step explanation:
me and my friend did the math and got 2x + y - 4 = 0
Match each function formula with the corresponding transformation of the parent function y = (x - 1)2 1. y = - (x - 1)2 Translated up by 1 unit 2. y = (x - 1)2 + 1 Translated left by 4 units 3. y = (x + 1)2 Translated right by 1 unit 4. y = (x - 2)2 Translated down by 3 units 5. y = (x - 1)2 - 3 Reflected over the x-axis 6. y = (x + 3)2 Reflected over the y-axis
Answer:
1. [tex]y = - (x - 1)^{2}[/tex], Reflected over the x-axis.
2. [tex]y = (x - 1)^{2} +1[/tex] , Translated up by 1 unit.
3. [tex]y = (x + 1)^{2}[/tex] , Reflected over y-axis
4. [tex]y = (x - 2)^{2}[/tex] ,Translated right by 1 unit.
5. [tex]y = (x - 1)^2 - 3[/tex], Translated down by 3 units
6. [tex]y = (x + 3)^2[/tex], Translated left by 4 units.
Step-by-step explanation:
Given that:
Parent function: [tex]y = (x - 1)^{2}[/tex] Please refer to attached Graph4.
1. [tex]y = - (x - 1)^{2}[/tex] Sign of y is changed from + to -, so it gets reflected over x axis. Please refer to attached Graph3.
2. [tex]y = (x - 1)^{2} +1[/tex]: 1 is added to y to translated up (positive y by 1 unit). Please refer to attached Graph3.
3. [tex]y = (x + 1)^{2}[/tex] , Reflected over y-axis, please refer to attached Graph4.
4. [tex]y = (x - 2)^{2}[/tex] : 1 is subtracted from x , it gets Translated right by 1 unit. Please refer to attached Graph5.
5. [tex]y = (x - 1)^2 - 3[/tex], 3 subtracted from y so it getss translated down by 3 units. Please refer to attached Graph6.
6. [tex]y = (x + 3)^2[/tex], 4 added to x, so it gets translated left by 4 units. Please refer to attached Graph5.
Answer:
the other guys answer
Step-by-step explanation:
sorry we have been about your car extended warranty this is are last call
WORKSHEET-1
1. Solve the following equations
a) 2x+5 = 1
Answer:
x = -2
Step-by-step explanation:
2x + 5 = 1 ( subtract 5 from both sides )
2x = 1-5
2x = -4 ( divide both sides by 2 )
2x ÷ 2 = -4 ÷ 2
x = -2
Answer: x = -2
Step-by-step explanation: To solve for x, we must first isolate the term containing x which in this problem is 2x.
Since 5 is being added to 2x, we subtract 5
from both sides of the equation to isolate the 2x.
On the left, the +5 and -5 cancel out and on the right, 1 - 5 is -4.
So we have 2x = -4.
Now we can finish things off by just
dividing both sides of the equation by 2.
On the left, the 2's cancel and on the right, -4 divide by 2 is -2.
So x = -2.
The diagram shows A(-3, 5) and B(8,1).
What is the distance between the points?
Enter your answer as a number, without units.
Round your answer to one decimal place, if necessary, like this: 42.5
Answer:
11.7
Step-by-step explanation:
You can form a right triangle with these points with a base of 11 and height of 4 with the third point as (-3, 1).
Using the Pythagorean Theorem, we get:
[tex]11^2+4^2=c^2\\121+16=c^2\\137=c^2\\c^2=137\\c=\sqrt{137}\\c=11.7[/tex]
The distance from A to B is roughly 11.7 units long.
The answers is AB= 12.5.
What is graph?The graph is nothing but an organized representation of data. It helps us to understand the data. Data are the numerical information collected through observation.
The word data came from the Latin word Datum which means “something given”
After a research question is developed, data is being collected continuously through observation. Then it is organized, summarized, classified, and then represented graphically.
As, per the graph
the base = 11 units and the height = 6 units
So, Using Pythagoras theorem,
11² + 6² = AB²
121+36 = AB²
157= AB²
AB = √157
hence, AB= 12.529
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PLEASE HELP
subtract
(-4w^ -9n) - (- 15w^)
Answer:
-5 • (2w + 1)
—————
2
Step-by-step explanation:
BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!!
Answer:
B
Step-by-step explanation:
Answer:2x+4(C)
Step-by-step explanation:
Since all of the variables have integer exponents that are positive this is a polynomial.
What is the divisble test for 861?
Answer:
7 is the correct answer
Select the correct answer.
Regina is shopping for clothes, and she sees that T-shirts are marked at $10 each and sweatshirts are marked at $14 each. She wants to buy
at least 5 items while spending under $60.
Which graph represents the number of T-shirts and sweatshirts Regina can buy to meet her goal?
Answer:
The graphs are missing, but we can find the inequality for this problem:
She has $60.
The price of a T-shirt is $10, the price of a sweatshirt is $14.
If T is the number of T-shirts she buys, and S is the number of sweatshirts that she buys, we have:
T + S ≥ 5 (because she wants to buy at least 5 items)
T*$10 + S*$14 < $60 (because she wants to spend under $60)
Those two inequalities define the number of T-shirts and sweatshirts that she can buy.
The intersection portion of the graph represents the number of T-shirts and sweatshirts Regina can buy to meet her goal.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have:
Regina is shopping for clothes, and she sees that T-shirts are marked at $10 each and sweatshirts are marked at $14 each.
Here, graph are missing.
Let's suppose the number of T-shirts is T and the number of sweatshirts is S.
T + S ≥ 5 (because she wants to buy at least 5 items)
10T + 14S < 14 (spending under $60)
If we plot the above inequality on a coordinate plane.
Thus, the intersection portion of the graph represents the number of T-shirts and sweatshirts Regina can buy to meet her goal.
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Z varies directly with X squared and inversely with Y. When X equals two and Y equals four, Z equals three. What is the value of Z when X equals four and Y equals nine
A: 2/3
B: 16/3
C: 8/3
D: 24
Answer:
B
Step-by-step explanation:
Set up the equation
z = [tex]\frac{kx^2}{y}[/tex]
Plug in the numbers to find the value of k
3 = [tex]\frac{k(2^2)}{4}[/tex]
12 = 4k
3 = k
Solve to find the value of z
z = [tex]\frac{3(4^2)}{9}[/tex]
z = [tex]\frac{3(16)}{9}[/tex]
z = 48/9
z = 16/3
If three out of four side lengths are all the same would that be a parallelogram?
Answer:
No
Step-by-step explanation:
Hiro is creating a smaller scaled replica of a triangular canvas. Which of the following expressions will help him determine the length of segment BE?
(answer choices are included in the attachments)
I thought it was B, but my answer was wrong.
Answer:
its actaully c because its left alone once you subtract
The correct answer is option (D).
What is a triangle?A triangle is a polygon with 3 sides.
Given the triangles ΔABE and ΔACD.
The triangle ΔABE is a smaller-scaled replica of the triangle ΔACD, therefore, the triangles ΔABE and ΔACD are similar triangles.
Since the triangles are similar, the ratio of their corresponding sides is proportional.
Therefore,
BE/CD = AB/AC
Or, BE = CD· (AB/AC)
Hence, the correct answer is option (D).
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Here is a map of a town. It has a scale of 1 : 200,000. A centimetre ruler is shown on the map. What is the real-life distance between the park and the theatre? Give your answer in km.
Answer:
6km
Step-by-step explanation:
==>Given:
Map scale = 1 : 200,000
Distance on map between the park and the theatre = 3cm
==>Required:
Real life distance between the town and the theatre in km
==>Solution:
Note: the map scale given means 1cm on the map represents 200,000 cm in real life.
For a map distance of 3 cm between the town and the theatre, the real life distance would be:
3 × 200,000 = 600,000 cm
=>Convert to km
Thus, 100,000cm = 1km
Therefore, 600,000cm = 6km
Real life distance between the town and the theatre = 6km
How many real solutions does this system of equations have? x2+y2=363x−y+1=0 A. 0 B. 3 C. 2 D. 1
Answer:
Correct option: C -> 2
Step-by-step explanation:
The first equation is:
[tex]x^2+y^2=363[/tex]
And the second equation is:
[tex]x-y+1=0[/tex]
From the second equation, we have:
[tex]y = x + 1[/tex]
Using this value of y in the first equation, we have:
[tex]x^2 + (x+1)^2 = 363[/tex]
[tex]x^2 + x^2 + 2x + 1 = 363[/tex]
[tex]2x^2 + 2x= 362[/tex]
[tex]x^2 + x - 181 = 0[/tex]
Calculating the discriminant Delta, we have:
[tex]\Delta = b^2 - 4ac = 1 + 4*181 = 725[/tex]
We have [tex]\Delta > 0[/tex], so we have two real values for x, therefore we have two solutions for this system.
Correct option: C.
(If the system of equation is actually:
[tex]x^2+y^2=36[/tex]
[tex]3x-y+1=0[/tex]
We would have:
[tex]y = 3x + 1[/tex]
[tex]x^2+(3x+1)^2=36[/tex]
[tex]x^2+9x^2+6x+1=36[/tex]
[tex]10x^2+6x-35=0[/tex]
[tex]\Delta = 36 + 1400 = 1436[/tex]
We also have [tex]\Delta > 0[/tex], so we have two solutions for this system.
Correct option: C.)
Answer:
A. 0
second part: C. The boats' paths do not cross each other
I will mark you brainliest!!!! Identify two inequalities that represent this situation.
The difference of 2 numbers is 2 and their product is 80
Please respond quick
Answer:
8 and 10
Step-by-step explanation:
10-8=2
10*8=80
Answer:
list factors of 80
1,80
2,40
4,20
5,16
8,10
Which factors have a difference of 2?
80-1=79
40-2=38
20-4=16
16-5=11
10-8=2
10 and 8 have a difference of 2 so 10 and 8 is the answer. Hope this helps
Step-by-step explanation:
Highschool students were surveyed about which math and science
Answer:
Starting with Algebra going down is 73%, 70%, 72%
Geometry going down is 27%, 30%, 28%
Totals going down 100%, 100%, 100%
(LOL)
Hope that was helpful.Thank you!!!
Step-by-step explanation:
What is the product of the binomials (4a – 1) and (2b + 3)?
Answer:
8ab+12a-2b-3
Step-by-step explanation:
(4a–1)(2b+3)
Use the FOIL method:
First: 8ab
Outer: 12a
Inner: -2b
Last: -3
8ab+12a-2b-3
Which statement forms part of cell theory?
A.
Cell organelles are capable of reproducing themselves.
B.
Cells differ in shape, but they have identical components.
C.
All cells begin life as prokaryotic cells.
D.
All living things are made up
of cells.
Answer:
D. All living things are made up of cells.
Step-by-step explanation:
D. All living things are made up of cells.
O The cell theory is a widely accepted principle of biology. Scientists that contributed to the cell theory include; Theodor Schwann, Matthias Schleiden, and Rudolph Virchow.
The cell theory states that;
O All living organisms are made up of cells and they may be unicellular or multicellular.
O The cell is the basic structural and functional unit of life.
Cells arise from pre-existing cells.
Lisa works 6 hours at $13.75 per hour. How much does she earn?
Answer:
$82.50
Step-by-step explanation:
Given that the unit rate is $13.75 per hour,
1 hour -----> $13.75
6 hours -----> $13.75 x 6 = $82.50
what is the most efficient first step to isolate the variable term on one side of this equation?
-9x=-4x+5
Answer:
Add 4x to both sides
Step-by-step explanation:
on Edge
The graph shows that you are traveling at a constant rate. Three of the statements are true. Which is NOT? please help me in return i will help u anything Physics.
Answer:
speed = distance/time
distance = 60 miles
time = 1.5 h
speed = 60/1.5
= 40 miles per hour
so the answer in the pic is the correct answer
The equation of line is y = 40x and the unit rate of speed of travel is given by A = 40 mph
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 P ( 0 , 0 )
Let the second point be Q ( 1.5 , 60 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 60 / 1.5 )
Slope m = 40 miles per hour
So , the speed of the travel is 40 mph
And , the equation of line is y - y₁ = m ( x - x₁ )
y = 40x , where x is the number of hours
Hence , the speed of the travel is 40 miles per hour
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Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound. To determine the number of pounds of tomatoes that she bought, x, Carina wrote and solved the equation as shown below. 3.40 + 0.85 x = 5.27. 0.85 x = 8.67. x = 10.2 pounds. Where, if anywhere, did Carina make an error?
Answer:
She subtracted 3.4 on the left and added 3.40 on the right
Step-by-step explanation:
3.40 + 0.85 x = 5.27
Subtract 3.40 from each side
3.40 -3.40+ 0.85 x = 5.27-3.40
.85x = 5.27 - 3.40
.85x =1.87
Divide by .85
.85x/.85 =1.87/.85
x = 2.2
Answer:
(C) Carina should have subtracted 3.40 from 5.27.
Step-by-step explanation: