Answer:
[tex]x^2-11x + 13[/tex]
Step-by-step explanation:
Let [tex]f(x) = 2x^2 - 2x + 7[/tex] and [tex]g(x) = x^2 + 9x - 6[/tex]
We need to find f(x)- g(x)
Replace f(x) and g(x). then subtract the expressions
[tex]f(x)-g(x) =(2x^2 - 2x + 7)- (x^2 + 9x - 6)[/tex]
Remove the parenthesis and multiply negative sign inside second parenthesis
[tex]2x^2 - 2x + 7- x^2 - 9x + 6[/tex]
Combine like terms
[tex]x^2-11x + 13[/tex]
Value of y???????pls help
How do i do this problem?
(13z^9+6v)-11z^9
BRAINLIEST TO BEST ANSWER!!!!
The table shows a linear function. Write an equation that represents the function using function notation.
PLEASE HELP ASAP! 20 POINTS BRAINLIEST IF RIGHT
Elements in the same ? have the same number of valence electrons.
Elements in the same ? have the same number of electron shells.
Metallic elements become ? reactive as you move left to right in a period.
Metallic elements become ? reactive as you move top to bottom in a group.
Elements in the same Group have the same number of valence electrons.
Elements in the same Period have the same number of electron shells.
Metallic elements become Less reactive as you move left to right in a period.
Metallic elements become More reactive as you move top to bottom in a group.
The number 0.4 can written as 4/10, so it is a rational number
What is the point-slope form of the equation of a line that passes through the point (6, −8) and has a slope of −2? y+8=2(x-6) openstudy?
The hypotenuse of a right triangle is 6 inches and one of the legs is √ 6 inches, the exact value of the other leg is _______ inches.
A. 30
B. √ 15
C. 15
D. √ 30
Xavier is designing a display for a bulletin board that is 3.5 feet wide. he wants to place a 14-inch-wide poster in the center of the bulletin board. how many inches of space remain on either side of the poster?
find the quotient -22s^4t-8st/2st
One difference between the z-distribution and t-distributions is the t-distribution tends to be
Please help me thank you very much.
Three friends have some ribbon.carol has 42 inches of ribbon,tino has 2.5 feet of ribbon,and baxter has 1.5 yards of ribbon.express the total length of ribbon the three friends have in inches,feet and yards
how much longer is 1 inch than 3/8 inch?
Answer: 5/8 inch longer than 3/8 inch
Step-by-step explanation: Each whole number, and also one inch, can be represented as a fraction. Thus one inch can be displayed as 4/4 or 5/5, or as our case can be 8/8. This means that every whole number, even one inch, can have as many parts as possible in a fraction, which depends on what type of fraction is displayed. Thus, one inch can have a maximum of 8/8 or 6/6, etc.
To determine how much one inch is longer than 3/8 inch, we will display one inch as 8/8 inches and reduce 3/8 inch from it.
The result is 8/8 - 3/8 = 5/8 inch. So one inch is 5/8 inch longer than 3/8 inch.
CAN YOU PLEASE SOLVE THESE PROBLEMS!!! THANKS!!!!!
1) -3/4x=5
2) 0.6x= 0.48
3) -30=1.25x
4) -12 2/3= -1 1/9x
5) 12-3/5x = 27.
6) -17= 6x-5
7) 13= x/3 +4
8) -2/3x -4=10
9) 9x-14=2x
10) 2.5x -15=4x
11) 2x-31=-9x+24
Use the given property to complete the statement. Transitive Property of Congruence If Angle X Y Z is congruent to angle A O B and Angle A O B is congruent to angle W Y T, then A. Angle W Y T is congruent to angle A O B B. Angle A O B is congruent to angle A O B C. Angle X Y Z is congruent to angle W Y T D. Angle A O B is congruent to angle X Y Z
When two straight lines or rays intersect at a shared endpoint, an angle is generated. The correct option is C, ∠XYZ ≅ ∠WYT.
What is an angle?When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."
Given that Angle XYZ is congruent to angle AOB, therefore, we can write,
∠XYZ ≅ ∠AOB
Also, it is mentioned that Angle AOB is congruent to angle WYT, Therefore, we can write,
∠AOB ≅ ∠WYT
Now, we can write the two congruency together as,
∠XYZ ≅ ∠AOB ≅ ∠WYT
∠XYZ ≅ ∠WYT
Hence, the correct option is C, ∠XYZ ≅ ∠WYT.
Learn more about Angle here:
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Evaluate the expression w 2 - v + 1 for w = -2 and v = -8.
A. 5
B. 13
C. -11
D. -3
What is the probability of finishing a project on or before 22 weeks if the mean (expected) total duration is 18 weeks and the variance is 4 weeks?
If the number 659983 is rounded to the nearest hundred how many zeros does the rounded number have
A line has a slope of 2 and passes through the point (4,0)
What are the coordinates of another point that is on the line?
A. (0,2)
B.(2,0)
C.(4,6)
D.(6,4)
PLEASE HELP!!!!!!!!
Whats the value of m?
0.61m-1.51m=9
m=
CAN SOMEONE HELP ASAP!! Please!
A cold front moved in last weekend. In 8 hours overnight the temperature outside dropped 24 degrees. What was the average temperature change for each hour?
C write function distance that calculates the distance between two points (x1, y1) and (x2, y2). all numbers and return values should be of type double.
1250 is deposited in an account that pays 6.5% annual interst compounded continuosly. what is the balance after 8years?
Answer:2102.53
Step-by-step explanation:
1250e(0.065)8
Solve the subtraction problem 8/9 -3/4
In folding to make a 6-sided snowflake, what shape do you have after completing the first 5 steps?
a.
right triangle
c.
rectangle
b.
square
d.
circle
A quiz consist of 2 true-or-false questions 3 are multiple choice questions. The multiple choice questions have 3 options each. How many ways can a student complete the quiz?
a.36
b.162
c.108
d.18
A secrete code consist of 2 digits, followed by 2 letters, followed by 1 of the following symbols @,#,%, and &. Digits and letters cannot repeat.
a.243,360
b.260,000
c.234,000
d.270,400
How many distinct arrangements can you make using the letters in the word EXPERIMENT?
a.1,209,600
b.3,628,800
c.725,760
d.604,800
How many ways can a dance instructor send 4 of her 11 students to a summer dance program?
a.330
b.720
c.7920
d.1980
There are 5 keys on a key chain. 1 of the keys start a car. A random key is chosen. What is the probability that it starts the car?
a.25%
b.5%
c.20%
d.15%
The probability of choosing a winning card from a stack of cards is 2.9%. What is the probability of choosing the losing card
a.87.1%
b.92.9%
c.99.71%
d.97.1%
Final answer:
Calculating possibilities ranges from completing a quiz to creating secret codes, with correct answers including 108 ways to complete a quiz and 234,000 combinations for a secret code. The arrangement of the word EXPERIMENT yields 1,209,600 unique arrangements, and other questions involve calculating probabilities and combinations in different scenarios.
Explanation:
Calculating Various Probabilities and Combinations
Let's break down each part of the question to provide clear and step-by-step solutions.
1. Completing a Quiz
For the quiz with 2 true-or-false questions and 3 multiple-choice questions (each with 3 options), the number of ways to complete the quiz can be calculated as 22 * 33, which equals 4 * 27 = 108. So, the correct answer is 108 ways.
2. Creating a Secret Code
For a secret code consisting of 2 digits (10 options each, but cannot repeat, so 10*9), 2 letters (26 options each, but cannot repeat, so 26*25), followed by 1 symbol from 4 options, the total number of combinations is 10*9*26*25*4 = 234,000. Thus, the correct choice is 234,000 combinations.
3. Arrangements of the Word EXPERIMENT
To find the number of distinct arrangements of the letters in EXPERIMENT, considering the repeated letters, the formula is the total factorial divided by the product of factorials of each repeated letter: 10!/ (2! * 3!), which calculates to 1,209,600. Therefore, option a is correct.
4. Sending Students to a Summer Dance Program
To determine how many ways a dance instructor can send 4 of her 11 students to a summer dance program, we use combinations: 11C4 = 330. So, the answer is 330 ways, option a.
5. Probability of Starting a Car
With 5 keys, the probability that a randomly chosen key starts the car is 1/5, which translates to 20%, option c.
6. Probability of Choosing a Losing Card
If the winning probability is 2.9%, the losing probability is 100% - 2.9% = 97.1%, thus the correct answer is option d.
What are the x-intercepts of the graph of the function f(x)=x2-16x+64
To find the x-intercepts of the function f(x) = x^2 - 16x + 64, we set f(x) to zero and solve for x. The quadratic factors to (x - 8)^2 = 0, revealing that the graph has a single x-intercept at x = 8.
Explanation:To determine the x-intercepts of the graph of the function f(x) = x^2 - 16x + 64, we need to find the values of x for which f(x) equals zero. This involves solving the quadratic equation, x^2 - 16x + 64 = 0.
One approach is to factor this equation if possible. Another approach is to use the quadratic formula.
The given quadratic equation can be factored as (x - 8)^2 = 0.
Therefore, the only solution to this equation is x = 8, which means the graph of the function touches the x-axis at this point and has a vertex at (8, 0), making the x-intercept of the graph equal to 8.
The factored form indicates that the function has a double root at x = 8, which means the parabola touches and then bounces off the x-axis at this point.
Thus, rather than crossing the x-axis at two distinct points, the parabola has a single x-intercept at x = 8. This is often referred to as a repeated or double root because the solution appears twice when the quadratic is factored.
In this diagram, which equation could you prove to be true in order to conclude that the lines are parallel?
b/a⋅c/d=−1
b/a=c/d
b/a=d/c
b/a⋅d/c=−1
You want to buy a new TV. The diagonal measure of the screen is 42 inches, and the screen width is 36.6 inches. What is the screen height? Round your answer to the nearest hundredth.