Find the product of the 3+ V11 and its conjugate.
Answer:
It would be -2.
Step-by-step explanation:
Key skills: Conjugate, Distribution Property, and Addition/Subtraction
3 + [tex]\sqrt{11\\}[/tex] is your expression. The conjugate is an important concept you need to know to solve this.
Given the expression: [tex]a + \sqrt{b\\}[/tex]
It's conjugate would be: [tex]a - \sqrt{b}[/tex]
(Basically if there is an addition sign between the 2 terms, it would become a subtractions symbol and if there is a subtraction symbol it would become an addition symbol)
1) So the conjugate of [tex]3+ \sqrt{11}[/tex] would be [tex]3 - \sqrt{11}[/tex]
2) Now we would have to multiply them
([tex]3 + \sqrt{11}[/tex])([tex]3- \sqrt{11}[/tex]) is your expression. If you use distribution property, you will get to: [tex]3^{2} + 3\sqrt{11} - 3\sqrt{11} + \sqrt{11}^{2}[/tex] The two middle terms would cancel out (they both add up to 0), so then we have [tex]3^{2} - \sqrt{11}^2[/tex] This would simplify into 9-11, which is then -2Hope you understood, and have a nice day!! :)
Is x-3 a factor of f(x)=x^3-9x^2+22x-3
Answer: Yes
y-intercept: f(0)= -3
In the past you paid $800
$
800
per month to rent your apartment. You now pay $900
$
900
per month for your rent. What is the percent increase in your rent?
I think you are yousing to much lectrsestey
Answer:
12.5%
Step-by-step explanation:
800+12.5%=900
ur welcome
does this graph show a function?
Answer:
I think no this graph doesnot show function
no
Answer: no
Step-by-step explanation:.
What is the distance between point P1 and P2?
Find domain of the function
F(x)=7x+4
Answer:
all real numbers or infinity
Step-by-step explanation:
this function is linear and linear functions always have an infinite domain and range
PLEASE HELP
What is the slope of this line?
a) -2
b) -1/2
c) 1/2
d) 2
Answer:
C: 1/2
Step-by-step explanation:
Use the slope formula
Answer:1/2
Step-by-step explanation:
1__1/_2__6
An airplane travel at a constant speed of 575 miles per hour.write and equation that can be used to determine the number of miles the airplane will travel in hours her equation is 575m determine why her equation does not correctly model the problem
Answer:
[tex]m = 575h[/tex]
Step-by-step explanation:
Given
[tex]Rate = 575 miles/hour[/tex]
Required
Determine the equation for the model
Represent the number of hours with h and the miles with m.
Using distance formula:
[tex]Distance = Speed * Time[/tex]
In this case, it is:
[tex]Miles = Rate * Hour[/tex]
So, we have:
[tex]m = 575 * h[/tex]
[tex]m = 575h[/tex]
Carolyn sells boxes of cookies for $12 per box. She makes $900 total selling cookies.
How many boxes of cookies did Carolyn sell?
Answer:
75
Step-by-step explanation:
The number of boxes of cookies Carolyn sold is 75.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Cost of 1 box of cookies = $12
Total earnings in selling boxes of cookies = $900
The number of boxes of cookies sold.
= 900 ÷ 12
= 75
Thus,
The number of boxes of cookies sold is 75.
Learn more about expressions here:
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Plz anserw the question below.
Answer:
x=70
Step-by-step explanation:
Due to the law of alternate interior angles, we can see that one of the angles in the triangle is equal to 35 degrees as well (please see the picture attached).
We're given that one of the exterior angles of the triangle is equal to 105. The exterior angle of a triangle will always be equal to the sum of the two opposite interior angles. Knowing this, we can write:
x+35=105
Subtract both sides by 35
x+35-35=105-35
x=70
Therefore, the value of x is 70 degrees.
I hope this helps!
What number is 1/2% of 96? Round the answer to the
nearest hundredth if necessary.
Answer:
48
Step-by-step explanation:
Eric bought a pizza pie, he ate 3/8 of the pie,karla ate 1/4 of the pie ,how much of the pizza did eat
Answer:
5/8 of the pizza was eaten
Step-by-step explanation:
1/4=2/8
2/8+3/8=5/8
Answer:
5/8
Step-by-step explanation:
3/8 + 1/4
1/4 x 2 = 2/8
3/8 + 2/8 = 5/8
What is the average rate of change of f(x), represented by the table of values, over the interval [-2,3]?
Answer:
D. 0.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Average Rate of Change: [tex]\displaystyle \frac{f(b) - f(a)}{b - a}[/tex]Step-by-step explanation:
Step 1: Define
Interval [-2, 3]
b = 3
a = -2
f(b) = f(3) = 5
f(a) = f(-2) = 2.5
Step 2: Find
Substitute [ARC]: [tex]\displaystyle \frac{5 - 2.5}{3 + 2}[/tex][Frac] Subtract/Add: [tex]\displaystyle \frac{2.5}{5}[/tex][Frac] Divide: [tex]\displaystyle 0.5[/tex]Work out the size of AED. Work out x
Answer:
a). m∠AED = 70°
b). x = 10°
Step-by-step explanation:
a). Quadrilateral ABDE is a cyclic quadrilateral.
Therefore, by the theorem of cyclic quadrilateral,
Sum of either pair of opposite angle is 180°
m(∠AED) + m(∠ABD) = 180°
m(∠AED) = 180° - 110°
m(∠AED) = 70°
Since, ∠AED ≅ ∠EAD
Therefore, m∠AED = m∠EAD = 70°
b). By triangle sum theorem in ΔABD,
m∠ABD + m∠BDA + m∠DAB = 180°
110° + 40° + m∠DAB = 180°
m∠DAB = 180° - 150°
m∠DAB = 30°
m∠BAE = m∠EAD + m∠BAD
= 70° + 30° = 100°
By angle sum theorem in ΔACE,
m∠EAC + m∠AEC + m∠ACE = 180°
100° + 70° + x° = 180°
x = 180° - 170°
x = 10°
solve this I am stuck
3x+1=10
solve for x
Answer:
x=3
Step-by-step explanation:
10 + 1 = 11
11 - 3 = 9
9 divided by 3 = 3
Answer:
x = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3x + 1 = 10
Step 2: Solve for x
Subtract 1 on both sides: 3x = 9Divide 3 on both sides: x = 3Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(3) + 1 = 10Multiply: 9 + 1 = 10Add: 10 = 10Here we see that 10 does indeed equal 10.
∴ x = 3 is the solution to the equation.
Use the information to answer the question
A diver is swimming at an elevation of -8 feet when she starts to descend at a rate of 2 feet per second for 7 seconds.
What is the diver's elevation after she descends for 7 seconds? Enter the answer in the box.
feet
Answer:
-22 ft.
Step-by-step explanation:
So we know that the diver descends (goes deeper) at a rate of 2 feet per second.
We also know that he/she is already at an elevation of -8 feet.
The first we need to do to solve this question is to find out the number of feet the diver descends in 7 seconds:
We do this by multiplying the amount of time by the number of feet (7 x 2)
as we all know 7 x 2 = 14 feet
So the diver dove deeper by 14 feet.
Now we have to add 14 and 8 to find the divers new elevation:
14 + 8 = -22 ft.
The divers' elevation after descending for 7 seconds is -22 ft.
plz mark me brainliest if correct :)
The diver's elevation after she descends for 7 seconds will be -22 ft.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
So we know that the diver descends (goes deeper) at a rate of 2 feet per second.
We also know that he/she is already at an elevation of -8 feet. The first we need to do to solve this question is to find out the number of feet the diver descends in 7 seconds:
We do this by multiplying the amount of time by the number of feet (7 x 2)
As we all know 7 x 2 = 14 feet. So the diver dove deeper by 14 feet. Now we have to add 14 and 8 to find the diver's new elevation:
14 + 8 = -22 ft.
Therefore, the diver's elevation after she descends for 7 seconds will be -22 ft.
To know more about an expression follow
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write a linear equation that has a slope of 1/2 and a y-intercept at the origin. (y=1/2x) (y=0x+1/2) (y=1/2x+1/2) (y=-1/2x)
Answer:
The linear equation with given slope and y-intercept is:
Option 1: [tex]y = \frac{1}{2}x[/tex]
Step-by-step explanation:
The slope-intercept form of equation is given by:
[tex]y = mx+b[/tex]
Here
m is the slope of the line and b is the y-intercept.
Given that
Slope of line is 1/2 so m = 1/2
And y-intercept is on origin so b = 0
Putting the values we get
[tex]y = \frac{1}{2}x+0\\y = \frac{1}{2}x[/tex]
Hence,
The linear equation with given slope and y-intercept is:
Option 1: [tex]y = \frac{1}{2}x[/tex]
Solve y = 3x2 + 7x - 12 using the quadratic formula. Show each step for full credit.
Answer:
y=7X-6
Step-by-step explanation:
mulitply 3 by 2 to get 6 Combine like terms. -12 + 6 equals -6 7x doesnt go in anywhere so let is be which concludes the answer to be y=7x-6Write the simplified form of the expression:
(-0.5z+0.9z)-(-0.3+0.9z)=
Answer:
[tex]=-0.5z+0.3[/tex]
Step-by-step explanation:
Given
[tex](-0.5z+0.9z)-(-0.3+0.9z)=[/tex]
Required
Simplify
Start by removing brackets
[tex]= -0.5z+0.9z+0.3-0.9z[/tex]
Collect Like Terms
[tex]=-0.5z+0.9z-0.9z+0.3[/tex]
[tex]=-0.5z+0.3[/tex]
100 POINTS IF YOU ANSWER!!
Determine which expression(s) is in its simplified form. Select all situations that apply.
x²/xy
12x/y
4x/32z
5z/xy
z^4/xyz
Answer:
I think it will be 12x/y
Step-by-step explanation:
it must help you
Answer:
12x/y and 5z/xy
Step-by-step explanation:
What would be the first step you do to solve the equation below?
-19 = 15 - 6x
Answer:
you would transfer 15 to the other side
Step-by-step explanation:
-19=15-6x
-34=6x
Kim made 4 cups of chili . She ate 1 3/4 of it for lunch how many cups of chili did Kim have over?
Answer:
2 1/4
Step-by-step explanation:
What is the probability of the following.
(a) An event A that is certain to occur?
(b) An event B that is impossible?
Enter an exact number
Answer:
(a) The probability of an event A that is certain to occur is 1.
(b) The probability of an event B that is impossible is 0.
Step-by-step explanation:
The probability of an event can be described as the chance that the event will occur.
The probability that an event will occur is between 0 and 1.
Based on the above, we can answer as follows:
(a) What is the probability of an event A that is certain to occur?
The probability of an event A that is certain to occur is 1.
(b) What is the probability of an event B that is impossible?
The probability of an event B that is impossible is 0.
14. A group of crafters is collecting data on the amount of yarn they use for each scarf knitted. Each person collected 12 pieces of data and will compile that data to determine a population mean. One crafter, Chris, has a sample mean of 200 meters of yarn.
Which statement must be true about this situation?
A. The population mean must be less than 200.
B. The population mean must be greater than 200.
C. The population mean is also 200.
D. There is not enough information to make a conclusion about the population mean.
Answer:
D. There is not enough information to make a conclusion about the population mean.
Step-by-step explanation:
One of the crafters Chris has a sample means of 200. This means that the average amount of yarn Chris used is 200 meters. Yet there is nothing else given about the other crafters, hence it is impossible to draw a conclusion.
find the value of a? Need help ASAP
When rolling a standard number cube: P(3 and then even)?
A. 1/12
B. 1/2
C. 3
D. 150
E. 3.2
Which table representing a linear function has a lower rate of change than this function?
y = 2x−5
Purring. Although purring can mean a number of things, you can be sure that when your cat is curled up on your lap purring, they're expressing their love and contentment with you. ...
sum of 5 times of x and thrice of y is 106
Answer:
sum of 5 times of x and thrice of y is 106[tex] \huge \boxed{5x + 3y = 106}[/tex]
Answer:
[tex]\huge\boxed{\sf 5x + 3y = 106}[/tex]
Step-by-step explanation:
5 times of x = 5x
Thrice of y = 3y
The sum:
5x + 3y = 106
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Fill in the table using this function rule.
y=-2x+3
× -2, -1, 0, 1
Answer:
If x = -2, -1, 0, 1, then (In this order) y = 7, 5, 3, 1
Step-by-step explanation:
If you put in each value of "x" into the equation, you'll get the appropriate "y".
y= -2(-2)+3
y= 4+3
y= 7
y= -2(-1)+3
y= 2+3
y= 5
y= -2(0)+3
y= 0+3
y= 3
y= -2(1)+3
y= -2+3
y= 1
How do you turn 6x-5y=8 into slope intercept form?
Answer:
Subtract 6x on both sides to get to this equation, -5y = -6x + 8. Then, divide -5 on both sides to get your slope-intercept which is y = 6/5x -8/5.