Find the vertex of the graphed function. f(x) = |x − 4| + 3 vertex of function The vertex is at ( , ).
Answer: For the second part it is B on edgu
Step-by-step explanation:
The solution is P ( 4 , 3 )
The vertex of the function is given by the coordinates P ( 4 , 3 )
What is a Parabola?
A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
Let the equation be represented as A
Now , the parabola is
f ( x ) = | x − 4 | + 3 be equation (1)
Now ,
The vertex of f ( x ) = | x | is located at the origin, (0,0)
So , in the form f ( x ) = a | x - h | + k, the h-value translates the graph left/right and the k-value translates the graph up/down
And ,
In the function, f(x) = | x - 4 ) | + 3 , the h-value is 4, and the k-value is 3
So , the vertex of the function moves from the origin, (0,0) and translates 4 units right and 3 units up.
Therefore , the vertex is located at P ( 4,3 )
Hence , the vertex of equation is at P ( 4 , 3 )
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can u show me common core way how to get the answer to this problem 4 1/5. ×4 3/8
7^18/7^5 simplifies to 7^p is the value of p 3?
Jose can spend no more than 24$ to buy oranges and apples. He will pay 3$ per pound for oranges and $4 per pound for apples. Draw a graph that represents the number of pounds of oranges as the number of pounds of apples Jose can buy.
Hint First, write an inequality. Then, find the x and y intercepts to draw your line. Consider whether you need a solid or dotted line. Do not forget to shade.
what is 7 × (12 + 8) - 6=
The sides of a triangle are 7, 4, n. If n is an integer, state the largest and smallest possible values of n.
Bradley is making fruit salad for each bowl of fruit salad he needs 3/4 cup of grapes how many cups of grapes will he use if he makes 24 bowls of fruit salad
Answer:3/4 i think
Step-by-step explanation:
The fruit salad requires 32 cups of grapes.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Bradley is making fruit salad for each bowl of fruit salad he needs 3/4 cup of grapes.
He makes 24 bowls of fruit salad.
Number of cups of grapes = Total number of bowls ÷ Number of cups of grapes in each bowl
= 24 ÷ 3/4
= 24 × 4/3
= 32
Therefore, the fruit salad requires 32 cups of grapes.
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Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make a total profit of $78. Using the equation 8(x+2.75)=78, Rita determined that she needs to sell each necklace for $7 to make a total profit of $78. Which error did Rita make?
Answer:
Rita made a sign error.
Step-by-step explanation:
Let x be the selling price of each necklace.
We are told that the materials to make each necklace cost $2.75.
Since profit is the difference between selling price and cost.
[tex]\text{Profit}=\text{Selling price- Cost}[/tex]
So profit of Rita from selling one necklace will be:
[tex]\text{Profit of Rita from 1 necklace}=x-2.75[/tex]
To find the profit of Rita from selling 8 necklace we will multiply 8 by profit of 1 necklace.
[tex]\text{Profit of Rita from 8 necklaces}=8(x-2.75)[/tex]
As Rita wants to make a total profit of $78 from selling 8 necklaces, so we will substitute 78 as profit of 8 necklaces.
[tex]78=8(x-2.75)[/tex]
Upon comparing our equation with the given equation we can see that Rita made a sign error as she added the cost with the selling price instead of subtracting the cost from selling price.
Let us find the selling price.
[tex]78=8x-22[/tex]
[tex]78+22=8x[/tex]
[tex]100=8x[/tex]
[tex]\frac{100}{8}=x[/tex]
[tex]12.5=x[/tex]
We can see that the selling price of each necklace will be 12.5, therefore, Rita made a sign error.
Travis had a box of 68 french fries. He gave 13 french fries to each of f friends. Which expression shows how many french fries he had left after giving some to his friends? A. 68 - f × 13 B. (68 + f) × 13 C. 68 + f × 13 D. (68 - f) × 13
Solve the quadratic equation. (x - 4)2 = 36
The solutions to the quadratic equation (x - 4)² = 36 are
x = 10 and x = -2.
We have,
To solve the quadratic equation (x - 4)² = 36, we can start by taking the square root of both sides of the equation.
However, we need to consider both the positive and negative square roots because squaring a number eliminates the sign.
Taking the square root of both sides, we have:
√[(x - 4)²] = √36
Simplifying further:
|x - 4| = 6
Now, we can set up two separate equations to consider both the positive and negative square roots:
x - 4 = 6 or x - 4 = -6
Solving the first equation:
x - 4 = 6
Adding 4 to both sides:
x = 10
Solving the second equation:
x - 4 = -6
Adding 4 to both sides:
x = -2
Therefore,
The solutions to the quadratic equation (x - 4)² = 36 are
x = 10 and x = -2.
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the prime factorization of a certain number is 2 to the 3rd power times 3 times 5 to the second power what is the number and how did you get it
The number that corresponds to the prime factorization '2 to the 3rd power times 3 times 5 to the 2nd power' is 600. Calculate this by resolving each component then multiply the results.
Explanation:The question revolves around finding the result of a number given its prime factorization, specifically when the prime factorization is '2 to the 3rd power times 3 times 5 to the 2nd power'. Let's start by resolving each of those components:
2 to the 3rd power, also known as cubing, would give us 8 because we multiply 2 three times (2*2*2).3 remains as it is because it is a prime number and is not raised to any power.5 to the 2nd power, also known as squaring, would give us 25 because we multiply 5 by itself (5*5).So, with these resolved components, we only have to multiply the results, which is 8 (from 2 cubed) times 3 times 25 (from 5 squared).
This would give us the answer: 8 * 3 * 25 = 600.
Therefore, the number that corresponds to the prime factorization '2 to the 3rd power times 3 times 5 to the 2nd power' is 600.
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There are 96 raisins and 24 cashews in each package of granola. What is the unit rate in raisins per cashew?
4
12
20
96
Which is not a characteristic of an exponential parent function?
A. The range is positive real numbers (y > 0).
B. The domain is all real numbers.
C. It goes through the origin.
D. It passes through (0, 1).
Answer:C. It goes through the origin
Step-by-step explanation:
Answer:
Option C) It goes through the origin.
This is the wrong statement about the parent exponential function.
Step-by-step explanation:
We are given the following:
The characteristic of exponential parent function:
[tex]f(x) = y = b^x\\\text{where b is the base}[/tex]
A) True
The range is all positive number that is y > 0
Range can never be negative.
B) True
The domain is all real number.
C) False
It does not pass through origin.
[tex]y = f(0) = b^0 = 1[/tex]
D) True
It always passes through (0,1) as shown above.
3/4x= -12 What does "x" equal?
A cup of rolled oats (
x
x) provided
310
310 calories. A cup of wheat flakes (
y
y) provided
290
290 calories. A new breakfast cereal combines wheat and oats to provide
302
302 calories per cup. How much of each grain does
1
1 cup of the cereal contain?
Find the zeros and state whether the multiplicity of each zero is even or odd. What are the zeros of f?
Paul and jose are trying to measure the height of a tree. paul is standing 19m from the foot of the tree and measures the angle of elevation to the top of the tree to be 59o. jose measures it to be 43o, how far is jose from the base of the tree?
In the figure. d=4 yd, h=6 yd, and H=8 yd. What is the approximate volume of the figure? Use 3.14 to approximate
Answer: 84yd
Step-by-step explanation:
Vcylinder=πr2h
=π(2)2(6)
=24π
≈24(3.14)
≈75.36 yd
_____________________
The height of the cone is the height of the figure minus the height of the cylinder:
8 yd−6 yd=2 yd
Vcone=13πr2h
=13π(2)22
=223π
≈223(3.14)
≈8.37 yd3
Add the volumes.
75.36 yd3+8.37 yd3=83.73 yd3
To the nearest cubic yard, the volume is 84 yd3.
Miss Cohan purchased a bottle of vitamins for $7.99 a bottle of aspirin for $6.49 and a bottle of mouthwash for $2.99 she gave the clerk two $10 bills how much change did she receive
what is the vertex of -3x^2 - x + 12
A company invests a total of $40 comma 00040,000 of surplus funds at two annual rates of interest: 55% and 66one half 1 2%. It wishes an annual yield of no less than 6one fourth 1 4%. What is the least amount of money that the company must invest at the 66one half 1 2% rate? The company should invest at least how much money
at 66one half 1 2%.
Let x = price of a standard ticket, y = price of a matinee ticket, and z = price of a senior ticket. 150x + 80y + 12z = 2,466 380x + 95y + 48z = 5,419 210x + 130y + 60z = 3,960 220x + 225y = 4,445 540x + 270y = 8,370 → y = −2x + 31 x = 11 Finish solving the system using. What are y and z?
Answer: y = 9, z = 8
Step-by-step explanation:
Here, the given equations are,
150x + 80y + 12z = 2,466 ---------(1)
380x + 95y + 48z = 5,419 ---------(2)
210x + 130y + 60z = 3,960 --------(3)
4 × equation (1) - Equation (2),
220x + 225y = 4,445 ------------(4)
5 × equation (1) - equation (3),
540x + 270y = 8,370
⇒ 270 y = 8370 - 540 x
⇒ y = 31 - 2 x
Substituting the value in equation (4),
220 x + 225 ( 31 - 2 x ) = 4445
220 x + 6975 - 450 x = 4445
- 230 x = - 2530
x = 11
By putting this value in equation (5),
we get, y = 31 - 22
y = 9
By putting the value of x and y in equation (1),
1650 + 720 + 12 z = 2466
2370 + 12 z = 2466
12 z = 96
z = 8
Answer:
Y=9
Z=8
For the next one, the solution can be expressed as 11,9, and 8
Step-by-step explanation:
Just did it on edg!
Which statement about the following argument is true?
Argument:
If it snows, the roads will get slippery.
It's snowing.
Therefore, the roads are slippery.
A:The argument is valid by the Law of Syllogism.
B: The argument is valid by the Law of Detachment.
C: The argument is invalid.
D: The argument is valid but does not follow the Law of Syllogism or the Law of Detachment.
Evaluate the indefinite integral: 1/( t^2 − 6t + 45) dt
how to set the answer up
Let s and g represents the numbers of suits and gowns produced.
The number of zippers used is 2s+g.
The number of buttons used is 5s+8g.
In order to use all of the available zippers and buttons, we must have ...
2s + g = 1715s + 8g = 576Cramer's rule tells you the solution to the system
ax +by = cdx +ey = fIs given by
x = (bf-ey)/(bd-ea)y = (cd-fa)/(bd-ea)Using this rule on the equations for zippers and buttons, we have
... s = (1·576 -8·171)/(1·5 -8·2) = -792/-11 = 72
... g = (171·5 -2·576)/-11 = -297/-11 = 27
72 suits and 27 gowns can be made from available zippers and buttons.
Given this arithmetic sequence, find d 4,_,_,_,_,179
The triangular shaped bases of a prism are 24 cm in length and have a height of 35 cm. Each side is 37 cm. The height of the prism is 29 cm. What is the surface area of the triangular prism? A) 2192 cm2 B) 2312 cm2 C) 3220 cm2 D) 3682 cm2
please help with question 3!!! And A 2 please!!!
a human usually has 20 baby teeth, which are replaced by 32 adult teeth. Raul lost 8 of his baby teeth . Raul said he lost 4/10 of his baby teeth. Ana said Rual lost 2/5 of his teeth. which of these conjectures are true? Construct an argument to justify your your answer
Final answer:
Ana's conjecture that Raul lost 2/5 of his teeth is correct, as it simplifies from Raul's stated 4/10 after losing 8 out of the total 20 baby teeth.
Explanation:
Raul has said he lost 4/10 of his baby teeth, while Ana said Raul lost 2/5 of his teeth. To figure out which conjecture is true, we must consider Raul's claim first. Since a human usually has 20 baby teeth and Raul has lost 8 of those, we calculate the fraction of teeth he has lost by dividing the number of lost teeth by the total number of baby teeth: 8 ÷ 20 = 2/5. This simplifies to the fraction 2/5, which means Ana's conjecture is indeed the correct one. Both fractions actually represent the same value, because when you simplify 4/10 by dividing the numerator and the denominator by 2, you get 2/5.
For a fixed loan amount, what happens to the monthly payment as the annual rate increases? a. as the annual rate increases, the monthly payment increases c. as the annual rate increases, the monthly payment stays the same b. as the annual rate increases, the monthly payment decreases d. no correlation
Answer:
c. as the annual rate increases, the monthly payment stays the same.
Step-by-step explanation:
A loan is an amount of money given by individuals, organizations to borrower over a period of time and to repay the principal amount with interest.
A fixed loan amount means that a borrower pays the same amount through each stage of agreed payment of the loan. The amount paid installmentally should not vary or fluctuate during the life of the loan. The amount paid by the borrower every month is fixed, thereby ensures that the loan is paid off in full with interest at the end of its term. As the annual rate increases, the monthly payment stays the same but the number of years may increase.