(1).
f(x) = |x − 5| + 3
f(2) = |2 − 5| + 3 = |−3| + 3 = 3 + 3 = 6
(2).
f(x) = 8 − 3|x + 2|
f(−6) = 8 − 3|−6 + 2| = 8 − 3|−4| = 8 − 3·4 = 8 − 12 = − 4
(3).
For f(x) = |x − h| + k the turning point is (h, k), so:
f(x) = |x − 2| + 3 ⇒ the turning point is: (2, 3)
The value of f (2) will be;
⇒ f(2) = 6
The value of f (- 6) will be;
⇒ f(-6) = 4
The turning point of the graph will be;
⇒ (2, 3)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
1) The function is,
⇒ f(x) = |x−5| + 3
2) The function is,
⇒ f(x) = 8 - 3 |x+ 2|
3) The function is,
⇒ f(x) = |x−2| + 3
Now,
1) The function is,
⇒ f(x) = |x−5| + 3
Put x = 2;
⇒ f (2) = |2 - 5| + 3
⇒ f (2) = 3 + 3
⇒ f(2) = 6
2) The function is,
⇒ f(x) = 8 - 3 |x+ 2|
Put x = - 6;
⇒ f (- 6) = 8 - 3 |- 6 + 2|
⇒ f (-6) = 8 - 3 × 4
⇒ f(-6) = 8 - 12
⇒ f (- 6) = - 4
3) The function is,
⇒ f(x) = |x−2| + 3
We know that;
Turning point of the function f (x) = |x - h| + k are (h, k)
So, By comparing we get;
The turning point of the graph of f(x) = |x−2| + 3 are (2, 3).
Thus, The value of f (2) will be;
⇒ f(2) = 6
The value of f (- 6) will be;
⇒ f(-6) = 4
The turning point of the graph will be;
⇒ (2, 3)
Learn more about the mathematical expression visit:
brainly.com/question/1859113
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The coffee merchant plans to mix some fancy $6.50 per pound ground coffee called royal soil with 10 pounds of a lowly $2 per pound ground called royal peasant. How many pounds of the $6.50 per pound ground coffee should he use?
Answer and explanation:
Given:
Royal soil= $6.50 per pound
Royal peasant = $2 per pound of 10 pounds
Blend total pounds is x+10, price is unknown hence solved below
Using algebra
We find unknown x = number of pounds of royal soil
$6.50(x)+$2(10)=6.50x+20/x+10(x+10)
= 6.50x+20= 6.50x²+85x+200
Answer: its 8 :)
i hope this helps!!!!
The coordinates of point K are (−3, 4.5). Which statement tells how to locate point K on the coordinate plane?
Answer:
-3
Step-by-step explanation:
which system of inequalities is shown?
Answer:
d is the right answer.
y is greater than x
y is equal to 4
Step-by-step explanation:
Your parents took your family out to dinner Your parents wanted to give the waiter a 20% tip. If the total amount of the dinner was $42.00, What is the total price of your dinner, including the tip?
Answer:
50.4
Step-by-step explanation:
42 * 0.02 = 8.4
42 + 8.4 = 50.4
what is the value of (-0.7)(6.0)
Answer: Look below
Step-by-step explanation: its not letting me put the answer in its said its i
True or False: The following relation is a function.
{(2,4), (3, 1), (- 3,2), (0,0), (1, 0), (0,4)}
O A. True
B. False
Answer:
false
Step-by-step explanation:
please help, i’ll give brainliest!
Answer: There is no correlation.
Step-by-step explanation:
Answer:
NO CORRELATTION
Step-by-step explanation:
HELP ASAP PLEASE!!!!
Triangle ABC is similar to triangle PQR, as shown below: Which equation is correct? (1 point)
La suma de un número natural y su cuadrado es de 72. Encuentra el número del que se trata.
Answer:
8
Step-by-step explanation:
Sea el número x El cuadrado será x ^ 2
Entonces la suma será; x ^ 2 + x = 72 x ^ 2 + x-72 = 0
x ^ 2 + 9x-8x-72 = 0
x (x + 9) -8 (x + 9) = 0
(x + 9) (x-8) x = 8 o -9
Como solo estamos considerando números naturales, la respuesta correcta es 8
You manage an appliance store that currently has excess warehouse inventory. You decide to offer a price reduction on washer-dryer combination sets. As a result of the price reduction, the company sells 36 combination sets, and this reduces their inventory by 25%. How many washer-dryer combination sets are in the warehouse after the sale? 27 70 108 144 864
Answer:
108Step-by-step explanation:
Let the amount of washer-dryer combination sets that are in the warehouse after the sale be x
Initial amount in the ware house is y
y - 36 = 75% of y
y - 36 = 0.75y
0.75y - y = -36
-0.25y = -36
y = 36/0.25
y = 144
The initial amount of wash dryer before sale is 144
After sale the amount of set in the house x = 144 - 36 = 108
Hence there 108 washer-dryer combination sets are in the warehouse after the sale
NEED HELP ASAPPP!!
A sales promotion for Christmas is advertising all PS5 games for $45.25 per game, up to 6 games, with a $10 subscription fee. The total cost, y, for x number of PS5 games can be modeled by a linear function.
What is the range of the function for this situation?
A. {0,1, 2, 3, 4, 5, 6}
B. {0,55.25, 100.50, 145.75, 191.00, 236.25, 281.50}
C. 0 ≤ y ≤ 281.50
D. 0 ≤ x ≤ 6
Answer:
0 ≤ y ≤ 281.50
Step-by-step explanation:
i did the math
PLEASE HELP :)))
Suppose 3 rooms cost $596 and 5 rooms cost $860. What is the total cost for the number of rooms
Answer: 596 + 860 = 1456
Pls help me with this! Thank u !!
I need help ASAP!!!!
Answer:
3/10
Because there are 10 balls in all and there is one softball and two baseballs, so in total there are 3 balls that they want to try and pull. That's why it is 3/10.
Hope This Helps!
how do I turn this into a radical?
slove the product of
[tex]1345 \times {10}^{1} = ?[/tex]
then explain how you moved the demal to get the product
Answer:
1.345
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
PLZ HELP!!!
Normal vision is called 20-20 vision. These numbers are actually a ratio—a comparison of the distance you can see to the distance a normal-sighted person can see. For example, a person with 20-30 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 30 feet. Based on this knowledge, explain what the following numbers mean regarding vision.
a. 20-100
b. 20-40
A person with 20-40 vision can see up to 30 feet and a person with 20-100 vision can see up to 200 feet (No-one can see that far unless they are not human or unless they are a spirit.)
How many 1/6 cups servings are in 3/4 cups of popcorn? ( In simplest fraction form)
A) 3/2
B) 5/2
C) 7/2
D) 9/2
Answer:
D) 9/2
Step-by-step explanation:
Frank went to the store and bought water, juice, and soda for everybody. Write an expression to show the total amount of beverages he bought. (Use w for water, j for juice, and s for soda.)
please help! id give you master brainlist.
Answer:
w + j + s = total amount of beverages
Step-by-step explanation:
anyone help please will give brainliest
Answer:
7. y= f(x+2)-7
8. y= -f(x-5)
9. y= f(-x)+3
Step-by-step explanation:
Please help I'm super stuck :(
Answer:
48.3
Step-by-step explanation:
bc =9)4
b=9
c=4 sooo 9x4=36 anddd 36+12.3=48.3. :P
Answer:
48.3 is the answer.
Step-by-step explanation:
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
Essentially, you are just multiplying and adding.
When it says b = 9 and c = 4, that is representing the variables. Just think of the variables as x and y (which are normally used as variables).
So, in the equation, we see that b and c are together, meaning that they need to be multiplied. When we plug in the values for those variables, we see that the equation now says:
9 * 4 + 12.3 =
Now, we just multiply 9 by 4, and add 12.3.
36 + 12.3 =
48.3
This means that the equation bc + 12.3 is equal to 48.3.
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
#teamtrees #WAP (Water And Plant)
Someone help me with this pleaseeeeee
Answer:8 an 40 an 2
Step-by-step explanation:
3 + 5p − 12 = 2p + 12
Answer:
p=7
Step-by-step explanation:
Let's solve your equation step-by-step.
3+5p−12=2p+12
Step 1: Simplify both sides of the equation.
3+5p−12=2p+12
3+5p+−12=2p+12
(5p)+(3+−12)=2p+12(Combine Like Terms)
5p+−9=2p+12
5p−9=2p+12
Step 2: Subtract 2p from both sides.
5p−9−2p=2p+12−2p
3p−9=12
Step 3: Add 9 to both sides.
3p−9+9=12+9
3p=21
Step 4: Divide both sides by 3.
3p
3
=
21
3
p=7
Hope this helps have an amazing day!!
PLS HELP ASAP
What is the value of X?
The answer is 8 but I need to show the work pls help
Answer:
x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set up Equation
(7x - 1) + 80 + (6x - 3) = 180
Step 2: Solve for x
Combine like terms: 13x + 76 = 180Isolate x term: 13x = 104Isolate x: x = 8Answer: x = 8
Step-by-step explanation:
Hoped this helped
What is the length of BC?
Enter your answer in the box.
Answer:
Line BC = 17
Step-by-step explanation:
Since Angle B and Angel C are congruent, the opposite lines are also congruent. (line CA is congruent to line BA)
Therefore:
x+9 = 2x -8
17 = x
x = Line BC
Line BC = 17
Your answer must be simplified.
−3 < x -10
Answer:
7 < x
Step-by-step explanation:
−3 < x -10
Add 10 to each side
−3+10 < x -10+10
7 < x
PLS HELP ASAP!!! MARKING BRAINLIEST AND GIVING 30 POINTS!! PLEASE EXPLAIN YOUR WORK AND GET THIS CORRECT!!
Mr. Ruiz reads that 408 students at Oakdale Middle School take the bus. Bus riders represent 60% of the total number of students at the school. Mr. Ruiz wants to know the total number of students at Oakdale Middle School
Solve. Justify your responses.
Given:
AB║CD║EF
Prove: m∠1+m∠2+m∠3+m∠4=360°
Answer/Step-by-step explanation:
[tex] \overline{AB} \parallel \overline{CD} \parallel \overline{EF} [/tex] ----› Given
[tex] \angle 1 + \angle 2 = 180 [/tex] ----› consecutive interior angles are supplementary
[tex] \angle 3 + \angle 4 = 180 [/tex] ----› consecutive interior angles are supplementary
Therefore:
[tex] \angle 1 + \angle 2 + \angle 3 + \angle 4 = 360 [/tex]
what are the angle measurements of the triangle??
A container is filled with 100 grams of bird feed that is 80% seed. Tom and Sally want to mix the 100 grams with bird feed that is 5% seed to get a mixture that is 40% seed. Tom wants to add 114 grams of the 5% seed, and Sally wants to add 115 grams of the 5% seed mix. What will be the percent of seed if Tom adds 114 grams?
Answer:
Initially, we had:
100 grams of a mixture that is 80% seed, (or 0.8 in decimal form)
This means that the quotient between the mass of seeds and the total mass of the mixture is equal to 0.8
Then the mass of seeds, x, can be calculated as:
x/100g = 0.8
x = 0.8*100g
x = 80g
We also have another mixture, that is 5% seed (or 0.05 in decimal form)
This means that in X grams of this mixture, there will be y grams of seeds, such that:
y/X = 0.05
y = 0.05*X grams
Now, we want to create a mixture that is 40% seeds (or 0.4 in decimal form).
Let's do this.
If we add X grams of the 5% mixture, the total mass will be:
M = 100g + X.
The total mass of seeds will be:
m = 80g + X*0.05
and we want that the quotient between the mass of seeds and the total mass to be exactly 0.4
m/M = 0.4
(80g + X*0.05)/(100g + X) = 0.4
Let's solve this for X.
(80g + X*0.05) = 0.4*(100g + X)
80g + X*0.05 = 40g + X*0.4
80g - 40g = X*0.4 - X*0.05
40g = X*0.35
40g/0.35 = X = 114.2g
If we want the mixture to be exactly 40% seeds, we need to add 114.2g of the 5% mixture. (We already can see that Tom is closer to the exact result than Sally)
If we add 114g, like Tom wants, we will have:
M = 100g + 114g = 214g
m = 80g + 0.05*114g = 85.7g
m/M = 85.7g/214g = 0.4005
This is a really good aproximation, if we write this in percentage form this would be:
0.4005*100% = 40.05%