Given the function w:
[tex] \displaystyle \large{w(x) = {x}^{2} + 1 }[/tex]
Since we want to find w(x+3), the input would be x+3.
Substitute x = x+3 in.
[tex] \displaystyle \large{w(x + 3) = {(x + 3)}^{2} + 1 }[/tex]
Alternate Solution
The answer above works if you want it in vertex form. For this alternate solution, I will convert the function in standard form.
As we know:
[tex] \displaystyle \large{ {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} }[/tex]
Therefore:
[tex] \displaystyle \large{ {(x + 3)}^{2} = {x}^{2} + 2(x)(3) + {3}^{2} } \\ \displaystyle \large{ {(x + 3)}^{2} = {x}^{2} + 6x+ 9}[/tex]
Now for function w:
[tex] \displaystyle \large{w(x + 3) = {x}^{2} + 6x + 9+ 1 } \\ \displaystyle \large{w(x + 3) = {x}^{2} + 6x + 10}[/tex]
Hence:
The answer is w(x+3) = (x+3)^2+1 for vertex formOR w(x+3) = x^2+6x+10What Types of Dogs Are These!?!?!??!??!??!??!??
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I put this for math so.......... What is 3+-13976?
Find the distance between (-3,-11) and (8,-42)
Answer:
√2930
Step-by-step explanation:
The distance formula is
√((difference between x values)² + (difference between y values)²)
= √((-3 - 8)² + (-11 - (-42))²)
= √((-11)² + (31)²)
= √1082
solve for x -7=2x+3 simplify the equation as much as possible
hi <3
2x + 3 = -7
subtract 3 from both sides:
2x = -10
divide both sides by 2:
x = -5
hope this helps :)
2
614
eft
3.
9m
Please help
2.
[tex] area=\frac{1}{2} \times 6 \times 8 \\ = 24 [/tex]
3.
[tex]area = \pi \times 9m \\ = 3.14 \times 9 \\ = 28.26 {m}^{2} [/tex]
Find the midpoint of the segment
Answer:
Mid point
x = 7 + (-3)/2. y = -3 + 11/2
x = 7-3/2. y = 8/2
x = 2. y = 4
Midpoint = (2,4).
93,487,991 to the nearest hundred thousand
Answer:
93,500,000
Step-by-step explanation:
Rounding rule:
1) If the digit directly next to the one you are finding is 5 or greater, round up.
2) If the digit is 4 or less, round down.
Note the hundred thousands place value (underlined and bolded):
93,487,991
Look at the digit value directly next to the place value you are looking for. The value of the digit is 8. Because 8 is greater then 5, round up:
93,487,991 rounded to the nearest hundred thousand is 93,500,000.
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Maria is 6 years older than her sister Emily. Emily is 15 years old. If M= Maria's age, then the equation M-6=15 would describe the problem. What inverse or opposite operation would you use to solve the equation?
A. Add 6 to both sides
B. Subtract 6 from both sides
C. Multiply both sides by 6
D. Divide both sides by 6
Marco surveyed the first 10 people
who arrived at the pool. He asked
them what they thought was the
best time to close the pool.
The best time to close the pool is the evening from 4 to 7 pm.
This is called the taking of average among all possible samples.
What is problem-solving?Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.This can also be solved using mean, mode or median is data is given.
Learn more about mean here:-https://brainly.com/question/1136789
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2. Which equation represents the line whose slope is 6 and whose y-intercept is 2?
A. y = 2x + 6
B. 2y + 6x = 0
C.y= 6x + 2
D.y + 2x = 6
Step-by-step explanation:
option C is the answer.
hope it helps
Fill in the blanks in the following sentence from the choices below describing the Real number system. 1 The _____ numbers, are fully contained in the _____ numbers, which are fully contained in the _____ numbers which are fully contained in the _____ numbers.
Choose from the words:
Integer, Irrational, Natural, Rational or Whole.
Answer:
1. Natural
2. Whole
3. Integer
4. Rational
The correct answer would be as: The Real number system. 1 The "Natural" numbers are fully contained in the "Whole" numbers, which are fully contained in the" Integer "numbers which are fully contained in the "Rational "numbers.
What are Natural Numbers?Natural numbers are defined as which range from 1 to infinity, are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.
For example 1, 2, 3, 4, 5, 6, and so on.
What are Integers?Integers are defined as the collection of Whole Numbers and the negative values of Natural Numbers make up an integer. Fractional numbers are not included in integers. Integers are represented by the symbol Z.
The Real number system. 1 The "Natural" numbers are fully contained in the "Whole" numbers, which are fully contained in the" Integer "numbers which are fully contained in the "Rational "numbers.
Learn more about the Integers here :
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There are two precalculus sections at a high school. Mr. Abel's class has 10 girls and 6 boys, while Mr. Bonitz's class has 10 girls and 12 boys. If a precalculus student chosen at random happens to be a girl, what is the probability she is from Mr. Abel's class?
Answer:gggggggggg
Step-by-step explanation:
gggggggggggggggggggggggggggggggggggggg
Simplify the expression
by combining like terms.
3y2+2y-y2+y
Answer:
= 3y2-y2+2y+y
= 2y+3y
= 5y
Please help ill mark brainliest dont forget explanation too please
hi i need help with this thank you
Answer: See the diagram below
The table moves up and to the right
=========================================================
Explanation:
The lower right leg will move along that diagonal line shown on the right side.
Since the table is solid and not flexible, all of the other 3 points will move in the same pattern.
What results is what you see in the diagram below. The table moves to the right some distance and up some (other) distance along that diagonal path.
Note how the lower right leg is always on that path, since that path itself is the result of scraping that leg against the floor.
Also, I'm assuming your teacher wants purely a translation and nothing else. That means the table hasn't been rotated in any fashion.
Read the image below
what is x when the tangent of 25 equals x over 11?
Answer:
x = 5.12938423
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
The perimeters of the two rectangles at right are equal. Write and solve an equation to find the value of x and the common perimeter. (desperate need of help)
Answer:
write the expression for the perimeter of the 1st rectangle 6x
write the expression for the perimeter of the 2nd rectangle 4x + 30
write the equation 6x = 4x + 30
x= 15
perimeter = 90
Step-by-step explanation:
The perimeter is adding up all the sides of the rectangle.
So for the first one, we know two of the sides: x and 2x. The opposite sides have the same values. So the other two sides are x and 2x.
Therefore, the perimeter is
2x + x + 2x + x
or
6x
Similarly with the second rectangles:
(x+12) + (x+3) + (x+12) + (x+3)
Combine like terms
x + x + x + x + 12 + 3 + 12 + 3
4x + 30
Set these two equal to each other because the two perimeters are equal
6x = 4x + 30
Subtract 4x on both sides
2x = 30
Divide by 2 on both sides
x = 15
Check:
6(15) = 4(15) + 30
90 = 60 + 30
90 = 90
The common perimeter is
6*15 = 90 units
Choose the expression that represents the fraction one-sixteenth.
A. 1 ÷ 6
B. 1 ÷ 16
C. 16 ÷ 1
D. 6 ÷ 1
Answer:B. 1 divided by 16
Step-by-step explanation:
i dont know it might be b Or c
just my guess
Due today:
At a local car dealer, the ideal selling price of a car is $22,000. The dealer allows this price to vary $1200 .
Create an absolute value inequality that models the range of the price the dealer can sell the car. (Hint: Test your inequality to make sure the price is $1200 below and above the selling price works.)
We know that:
The ideal selling price is P = $22,000
The price can vary dP = $1,200
let's define p as the variable that represents the possible prices of the car.
We will find that the absolute value equation that represents this is:
|p - $22,000| ≤ $1,200
Now let's see how we get that, using the initial information we can get:
The minimum price can be:
mP = P - dP = $22,000 - $1,200 = $20,800
The maximum price can be:
MP = P + dP = $22,000 + $1,200 = $23,200
Then the range of allowed prices is:
mP ≤ p ≤ MP
$20,800 ≤ p ≤ $23,200
To write this as an absolute value equation, we use the general formula:
Ix - average| ≤ amount that it can vary
Replacing it with our values we get:
|p - P| ≤ dP
|p - $22,000| ≤ $1,200
Concluding, the absolute value equation that we wanted to find is:
|p - $22,000| ≤ $1,200
If you want to learn more, you can read:
https://brainly.com/question/1301718
The cafe employees 20 staff 12 of them are men what is the percentage of women
PLEASE HELP MEE
Answer:
40 % are women
Step-by-step explanation:
20 - 12 = 8 / 20
To mail a package, a customer must determine the volume of the package to get the postage price. If a
package were a cube with side 12 inches, which of the following expressions would a customer use to
determine the volume? (The volume of a cube with edges of length s is s^3.)
12x3
12x4
12^3
square root of 12
Answer:
12^3
Step-by-step explanation:
The volume of a cube is the length of it's size raised to the power 3, so if the length is 12, the volume will be 12³ or 12^3
What is the volume of the rectangular prism?
3 in.
4 in.
54 in.
O A
A 12 in.
O
00
24 in 3
o
C
60 in
D. 73, in
in 3
.
Answer:
71.75 in^3
Step-by-step explanation:
If the values are
3 1/2in 5 1/4in 4in
then multiply all three of them
71.75 in^3
Hope I helped!
what does X equal? giving 50 points
can anyone help me solve this function please?
Answer:
f(-5) = 19
Step-by-step explanation:
f(t) = -3t+4
Let f(t) = 19
19 = -3t+4
Subtract 4 from each side
19 - 4 =-3t+4-4
15 = -3t
Divide each side by -3
15/-3 = -3t/-3
-5 = t
Answer:
the answer is -5
Step-by-step explanation:
F(t)=-3(t)+4
it told you that F(t) is equal to 19
so -3*-5=15+4=19
por favor sumar 3/4 4/5 7/8
97/40 = 2 17/40
En decimals: 2.425
3a+2b=17, b = 4a -30
Answer:
3a+2b=17
soln
3a+2b=17
3a+2b-2b=17-2b
3a=17-2b
3a/3=17/3-2b/3
a=17-2b/3
(PLEASE SOLVE THIS I JUST NEED TO KNOW CHECK MY ANSWER PLEASE EXPLAIN AS WELL)
Answer:
105
Step-by-step explanation:
219+(-114)=219-114=105
5+(-2)= ? Please help! I don’t know the answer
Answer:
It will be 3 because its take away hope this helped
how can i solve this equation
Answer:
D. -1.44 and 2.44
Step-by-step explanation:
[tex]f(x) = 2 {ax}^{2} + (3 - b)x + 7[/tex]
is equal to:
[tex]g(x) = (a - 1) {x}^{2} + 2bx + 7[/tex]
•◇•◇○◇•◇•
➡️ [tex] - 2 {x}^{2} + 2x + 7 = 0[/tex]
➡️ [tex]Δ = {b}^{2} - 4ac = 4 - 4 \times 7 \times ( - 2) = 60 = \sqrt{Δ} = 7.746[/tex]
➡️ [tex]x = \frac{ - b± \sqrt{Δ} }{2a} = \frac{ - 2± 7.746}{ - Δ} [/tex]
➡️ [tex] x_{1} = \frac{ - 2 + 7.746}{ - 4} = - 1.44[/tex]
➡️ [tex] x_{2} = \frac{ - 2 - 7.746}{ - 4} = 2.44[/tex]
area of square field is 617796cmsquare. find length of its each side.
Answer:
Answer is 786 cm
Step-by-step explanation:
√617796 =786