Answer:
Option (2)
Step-by-step explanation:
Given expression is, y = (x + 3)² + (x + 4)²
By solving this expression,
y = x² + 6x + 9 + x² + 8x + 16
y = 2x² + 14x + 25
y = (2x² + 14x) + 25
y = 2(x² + 7x) + 25
y = 2[x² + 2(3.5x) + (3.5)² - (3.5)²] + 25
y = 2[x² + 2(3.5x) + (3.5)²] - 2(3.5)² + 25
y = 2(x + 3.5)² - 24.5 + 25
y = 2(x + 3.5)² + 0.5
[tex]y=(x+\frac{7}{2})^2+\frac{1}{2}[/tex]
Therefore, Option (2) will be the vertex form.
On a coordinate plane, a line goes through (negative 2, 1) and (0, negative 5) and another line goes through (0, negative 1) and (1, 0). Which of the following statements are true of the graphed system of equations? Check all that apply. The system has infinitely many solutions. A solution to the system is (–1, –2). A solution to the system is (0, –1). One of the equations is y = x –1. One of the equations is 3x + y = –5.
Answer:
A solution to the system is (–1, –2).
One of the equations is y = x –1.
One of the equations is 3x + y = –5.
Step-by-step explanation:
Just took the assignment
Answer:
2, 4, and 5
Step-by-step explanation:
Got it right
You calculated the standard deviation of the sample mean differences to be .69. You also calculated the sample mean difference to ge 1.74. Now you'll determine whether the difference is significant
Answer:
Since [tex]|Z| = 2.52 > 2[/tex], the difference is significant.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If |Z| > 2, the measure X is significent.
In this question:
[tex]|X - \mu = 1.74|, \sigma = 0.69[/tex]
So
[tex]Z = \frac{1.74}{0.69} = 2.52[/tex]
Since [tex]|Z| = 2.52 > 2[/tex], the difference is significant.
what is x2 + y2 + 4x - 14y + 37 = in standard form
Steps:
Since there are no like terms. We have to convert the number that is x2 + y2 + 4x - 14y + 37 into standard form. The correct answer will be NaN X 10°
So that is in a standard form.
Answer: NaN X 10
Please mark brainliest
Hope this helps.
Pls help me w this question
Answer:
The answer is (3, 18)
Step-by-step explanation:
This is because if you go to 3 on the x axis and up to 18 on the y axis, you have a point there.
3. A soccer team played 160 games and won 65 percent of them. How many games did the team win?
a. 94
b. 104
c. 114
d. 124
Answer:
b.) 104
Step-by-step explanation:
Percent formula:
x/y = p/100
where x is the fraction, y is the total, and p is the percent
This means:
x = number of games the team won
y = total number of games
p = percent the number of teams won
Let's plug these values into the equation:
x/y = p/100
x/160 = 65/100
Solve by cross-multiplying:
x/160 = 65/100
100(x) = 100x
160(65) = 10,400
100x = 10,400
/100 /100
x = 104
Therefore, the team won 104 games.
Need help with this please
Answer:
The third side is sqrt(77)
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
2^2 + b^2 = 9^2
4+ b^2 = 81
Subtract 4 from each side
b^2 = 81-4
b^2=77
Take the square root of each side
sqrt(b^2) = sqrt(77)
b = sqrt(77)
The third side is sqrt(77)
Find the circumference of this circle:
7 cm
Write appropriate units with your answer, and round your answer to 2 decimal places.
Please help ASAP! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.
If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0714
Step-by-step explanation:
Consider permutation and combination;
[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]
1
The table shows the cost y (in dollars) of x cold drinks.
Drinks, x 0 2 4
6
0
Cost y
6
3
9
Graph the data
Answer: Attached graph in the explanation.
Step-by-step explanation:
Hi, to answer this question we have to graph points in a Cartesian coordinate graph.
The horizontal axis is called the x-axis, and the vertical axis is the y-axis.
To graph a point, first we have to locate its position on the x-axis, and then find its location on the y-axis, and finally plot where these meet.
For example, to plot the point (2, 3), we have to find the positive 2 on the x-axis and the positive 3 on the y-axis.
Finally when we have plotted all the points, we simply link all the points to form a line.
someone help please!
You and your bestfriend are both on the swim team. You want to beat your bestfriend at the next swim meet so you decide to swim 15 minutes longer than she does on day at practice write an equation for the number of minutes you swim,y, when you bestfriend swims x number of minutes
Answer:
y = x + 15
Step-by-step explanation:
You swim 15 minutes more than a friend.The friend swims x minutes.
The amount of time you swim is 15 more than x.
Your time is y
Therefore y = x + 15 would be the equation.
1. 2x + 5 = 3x + 1
2. 3x + 2 = 4x - 3
3. 4x - 3 = 3x + 3
Pls help equations. Find x, show workings. You are the best but answer only if u know it. If I report ur answer know that that's not the right answer. Love you all.Don't just work rubbish for points.
Answer:
1)4
2)5
3)6
Step-by-step explanation:
1)2x+5=3x+1
2x-3x=1-5
-1x=-4
x=4
2)3x+2=4x-3
3x-4x=-3-2
-1x=-5
x=5
3)4x-3=3x+3
4x-3x=3+3
1x=6
x=6
Hope it helps
what is her answer ?
Answer:
4
lolz sorry for a late answer bud
Step-by-step explanation:
How do you solve the inequality 2x − 3 < −5
Answer:
x=< -1
Step-by-step explanation:
move the constant to the right-hand side and change its sign. 2x<-5+3
Calculate the sum
2x<-2
Divide both sides of the inequality by 2
x <-1
Please help stuck on this question
Answer:
110 - 2x
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
x + 50 + 5x - 40 + 110 - 2x = 180, that is
4x + 120 = 180 ( subtract 120 from both sides )
4x = 60 ( divide both sides by 4 )
x = 15
Thus
x + 50 = 15 + 50 = 65°
5x - 40 = 5(15) - 40 = 75 - 40 = 35°
110 - 2x = 110 - 2(15) = 110 - 30 = 80°
The largest angle is (110 - 2x)° = 80°
5x - 10 = 0 in division property of equality form
Answer:
x = 2
Step-by-step explanation:
5x = 10
x = 2
£750 is divided between Bridget, Caroline & Sarah so that Bridget gets twice as much as Caroline, and Caroline gets three times as much as Sarah. How much does Caroline get?
Answer: £225
Step-by-step explanation:
Amount shared = £750
Let Sarah's share = y
Therefore,
Caroline's share = 3y
Bridget's share = 2(3y) = 6y
Mathematically,
y + 3y + 6y = £750
10y = £750
y = £750/10
y = £75
Caroline's share = 3y
Caroline's share = 3 × £75 = £225
Caroline's share is £225
6x – 5 = 13 – 3х solve
Answer:
x=2
Step-by-step explanation:
6x−5=13−3x
Step 1: Simplify both sides of the equation.
6x−5=13−3x
6x+−5=13+−3x
6x−5=−3x+13
Step 2: Add 3x to both sides.
6x−5+3x=−3x+13+3x
9x−5=13
Step 3: Add 5 to both sides.
9x−5+5=13+5
9x=18
Step 4: Divide both sides by 9.
[tex]\frac{9x}{9}[/tex]= [tex]\frac{18}{9}[/tex]
x = 2
Answer: x=2
Step-by-step explanation:
Start by adding 3x to 6x, this eliminates the variables on the right side of the equation and leave you with 9x-5=13. From here, add five to both sides of the equation, which cancels out on the left side and leads you to have 18 on the right side. Remember that you want to have a lone variable, so you take the current equation of 9x=18 and divide both sides by 9, which cancels out on the left side and leaves the right side as 2. Therefore, x=2.
Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!!
Answer:
I think that C) and D)
Step-by-step explanation:
I think this because if you look at 3.5 secounds it came down and after 1.75 secounds the ball hit the ground. A) wouldn't be because it came down at 3.5 secounds not coming up. B) wouldn't be because the ball droped after 1.75 secounds not come up.
1. Steven delivers 56 newspapers every day of the week except Sunday. How
many papers does he deliver in all?
Ans:
Answer: 336 papers
Step-by-step explanation:
A week except Sunday = 6 days
56 newspapers * 6 days = 336 newspapers in all
Answer:
336
Step-by-step explanation:
Given That:
Days : 7 - 1 = 6
Number of papers per day : 56
SO,
all papers: 56 x 6 = 336
Hope this helps.
Which of the following is a quadratic function?
1. f(x) = 0x^2 + 3x - 6
2. f(x) = 3 - 4x^2
3. f(x) = 2^x
4. f(x) = 2x + 5
the function of quadratic is number4
A chemical is studying the properties of a gas under various conditions. He observes that when the gas is at room temperature and low pressure, it behaves as an ideal gas. When the gas is cooled to 10 kelvin and is placed under high pressure, however, it deviates significantly from an ideal gas.
Answer;
Explanation:
CHECK THE COMPLETE QUESTION BELOW:
chemist is studying the properties of a gas under various conditions. He observes that when the gas is at room temperature and low pressure, it behaves as an ideal gas. When the gas is cooled to 10 kelvin and is placed under high pressure, however, it deviates significantly from an ideal gas. Explain these observations.
ideal gas reffered to as one that has the collisions between its atoms or molecules perfectly eleastic and in which there are no intermolecular attractive forces existing between them. The ideal gas concept is important because it obeys the ideal gas law.
Which is PV=nRT
Where P is the pressure
T is the Temperature
V is the Volume
R is ideal gas constant
n is amount of substance
The ideal gas model assumes that gas particles experience no intermolecular attractions. These are the behavior of gases under different condition
✓At low temperature, gas particles move slowly.
-✓At high pressures, gas particles are very close together.
✓ When the particles of gases are close they have low speed and their low speed allow intermolecular forces to become important at high pressure and low temperature.
OBSERVATION S:
At room temperature which is comfortable ambient temperature, generally taken as about 20°C to 25C
Gases behave non ideally at cold temperatures, So when the gas is cooled to 10Kelvin, molecules are moving relatively slowly past one another, then they give room for the repulsive and/or attractive forces between their molecules giving room for deviation from an Ideal Gas.
The intermolecular forces cause the gas to deviate from ideal behavior So, the reason why a gas deviate from ideal behaviour may be due to some two assumptions of kinetic theory of gases. The forces of attraction between gas molecules are negligible. When the gas is placed under high pressure the gas molecules get more crowded and the amount of empty space between the molecules is reduced.
--
Answer:
Ideal gas explains the property of gas that has no inter-molecular attractions irrespective of temperature and pressure.
Explanation:
Ideal gases assumes that the gases would experience no inter-molecular attraction and collision with other gases.
These gases are perfectly exhibiting elastic collision in nature.
The particle of gases moves slowly at lower temperature and the gases would become close when they exhibit high pressure.
The "closeness of the gas-particle" and "low-speed characteristics" are the important observations noted.
The inter-molecular forces deviate the property of gases from ideal gas behavior.
Step-by-step explanation:
Help me out with this^^
Answer: 76 m^2
Step-by-step explanation:
[tex]A=\frac{4+15}{2}*8 = 76\;m^2[/tex]
Could someone please explain to me how to solve this problem? Thanks! :)
Answer:
First of all since they are dividing subtract the powers of the base from each other .
Make sure the bases are the same.
((6^7-6)(3^3-4))³
((6)(3^-1))³
(6³)(3^-3)
216 × 1/27
= 8
That's option d.
Hope this helps.
a solid consists of cylinder surmounted by a right circular cone. The height of the cone is 2h. If the volume of the solid is 3 times the volume of the cone then what is the height of the cylinder. Plsss help fast
Answer:
height of cylinder = 4/3 h
Step-by-step explanation:
The solid has a cylinder surmounted with a cone .Therefore, the volume of the solid is the sum of the cone and the cylinder.
volume of the solid = volume of cylinder + volume of cone
volume of the solid = πr²h + 1/3πr²h
let
height of the cylinder = H
recall
the height of the cone = 2h
volume of the solid = πr²h + 1/3πr²h
3(1/3πr²2h) = πr²H + 1/3πr²2h
2πr²h = πr²H + 2/3 πr²h
πr²(2h) = πr²(H + 2/3 h)
divide both sides by πr²
2h = H + 2/3 h
2h - 2/3h = H
H = 6h - 2h/3
H = 4/3 h
height of cylinder = 4/3 h
zero has _________ reciprocal
Answer:
No
Step-by-step explanation:
No real number when multiplied with zero makes one.
Answer:
Zero has no reciprocal
Step-by-step explanation:
The reciprocal of a number is what you get when you flip the numerator and the denominator of a number. For instance, with the number 5, it can be rewritten as 5/1. The reciprocal of this would therefore be 1/5. For 0, it can also be rewritten as 0/1. However, if you take the reciprocal of this, you get 1/0, which is undefined. Therefore, zero has no reciprocal. Hope this helps!
in need of help, PLEASEEEE AND THANK YOUUUUUUUUUU <3
Answer:
y = 3/2x - 4
Step-by-step explanation:
Slope-intercept form is y = mx + b
When we count rise over run, we get 3/2
y = 3/2x + b
The line intersects the y-axis at -4
y = 3/2x - 4
I hope this helps :))
convert the angle =100 degrees to radians
Answer:
1.75 rad
Step-by-step explanation:
° × π/180 = rad
100° × π=314.16
314.16/180=1.75 rad
Four college roommates rented an apartment together. When they
moved out, they were charged $1500 for damages to the carpet
and walls. The roommates agreed to equally share the cost.
What integer represents how much each person will have to pay?
Answer:
Step-by-step explanation:
What we do is to divide 1500 by 4 = $1500/4 = $375
Answer:375
Step-by-step explanation:
1500/4=375
O
ZA
Round your answer to the nearest hundredth.
8
с
B
?
2
А
Answer:
75.96 Degrees
Step-by-step explanation:
Use the trigonometric functions of Sine Cosine and Tangent
(SOH CAH TOA)
The unknown angle is near the adjacent side of 2 and the opposite side of 8
Therefore you use the Tangent function
However, since it's the angle that needs to be found, you need to use Arc Tangent (The inverse operation)
Unknown Angle = ArcTan (8 / 2)
Unknown Angle = 75.96 Degrees
Note: ArcTan is just Tan to the power of -1
On my calculator I have to click shift then click the tan function to access this it may be different on yours