(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:
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Give the equation of the line in
slope intercept form.
y = [?]x + []
Enter the number that belongs in the green box.
Enter
Answer:
y = 3x - 2
Step-by-step explanation:
The equation of a line is y = mx + c where m is the slope of the line and c is the y-intercept. I will be calculating the slope of the line using the points (1, 1) and (2, 4).
Slope = [tex]\frac{rise}{run}[/tex]
= [tex]\frac{4-1}{2-1}[/tex]
= 3
Based on the graph, the y-intercept is (-2) so the equation of the line is:
y = 3x - 2
Plz can you help me out with this question..
Answer:
86%
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
The sum for the class is calculated as
[tex]\frac{sum}{30}[/tex] = 70 ( multiply both sides by 30 )
sum = 2100
The sum of the 20 boys is
[tex]\frac{sum}{20}[/tex] = 62 ( multiply both sides by 20 )
sum = 1240
The sum for the 10 girls is therefore 2100 - 1240 = 860
Thus the mean mark for the girls is
mean = [tex]\frac{860}{10}[/tex] = 86%
hiiiiiii hiiiiiiiii ji
Answer:
hlo thanks for free points ❤️❤️
What is the solution to the following system of equations?
2x + y = 0
x + 2y = 3
Group of answer choices
(0, 0)
(-1, 2)
(2, -4)
(-5, 4)
easy math if you can answer ill give brainlest
Answer:
16= 2 (3+b)
16 = 6+2b
10 = 2b
b = 5
Step-by-step explanation:
UB nu un MB a nshauIduxoa
Solve the inequalities in Exercises 17 to 20 and show the graph of the solution in each case on number line.
17. 3x – 2 < 2x + 1
Answer:
x < 3
Step-by-step explanation:
3x - 2x - 2 < 1
3x - 2x < 1 + 2
x < 1 + 2
x < 3
For the graph, look at the picture.
Write an equation of the line below.
(0,1) and (8,-1)
Answer:
Step-by-step explanation:
(-1-1)/(8-0)= -2/8= -1/4
y + 1 = -1/4(x - 8)
y + 1 = -1/4x + 2
y = -1/4x + 1
Yo can I get some help on this question ?
An
art teacher makes a batch of green paint by mixing
4/5
cup yellow paint with 4/5
cup blue paint. If she mixes 11 batches, how many cups of green paint will she have?
Answer:
She will have 17 and 3/5 cups of green paint.
Step-by-step explanation:
1. Identify your key factors:
Yellow paint: 4/5
Blue paint: 4/5
Mixes: 11 batches.
2. Arrange and solve:
4/5 x 11/1 = 44/5 x 2/1 = 88/5
[4/5 is the same amount for eithr paint so multiplying it by 2 is will give the same result, it's just less work.]
3. Simplify:
17 3/5, decimal 17.6
Answer:
A right 2 1 up
B the equivalent ratios
C the same
Step-by-step explanation:
A line passes through the point (-2, 4), and its y-intercept is (0,6). What is the equation of the line that is
perpendicular to the first line and passes through the point (5, 4)?
Answer:
y = -x + 9
Step-by-step explanation:
The line that passes through the points (-2,4) and (0,6) has a slope of 1, and a y intercept of 6. The equation to the first line is y = x + 6. and perpendicular lines always have the opposite, reciprocal slope of the other line. So the slope for the second line would be -1. A line with the slope of -1 and a point of (5,4) would contain the points (5,4) , (4,5) , (3,6) , (2,7) , (1,8) , and (0,9) , which is the y intercept for the second line. So the equation for the second line would be y = -x + 9
What is the stored energy of an object called?
Kinetic energy
Mechanical energy
Potential energy
Translational energy
Answer:
potential energy
Step-by-step explanation:
because when an object has stored energy its call potential but if it was kenetic energy the energy would have to move
Answer:
C
Step-by-step explanation:
please help and give details!!
Answer:
The answer is A.
Step by step explanation
x²-1
Where
Roots (-1,0) (1,0)
Domain x€R
Range f(x)€ [-1,+infinity]
Minimum (0,-1)
Vertical intercept (0,-1)
What is the solution to the equation?
3(+ 9)4
24
A.
-3
O
B.
6
OC.
7.
OD. 25
Reset
Answer:
7
Step-by-step explanation:
[tex]3 {(x + 9)}^{ \frac{3}{4} } = 24 \\ \\ {(x + 9)}^{ \frac{3}{4} } = \frac{24}{3} \\ \\ {(x + 9)}^{ \frac{3}{4} } = 8 \\ \\ {(x + 9)}^{ \frac{3}{4} } = {2}^{3} \\ \\ (x + 9) = {2}^{3 \times \frac{4}{3} } \\ \\ x + 9 = {2}^{4} \\ \\ x + 9 = 16 \\ \\ x = 16 - 9 \\ \\ x = 7[/tex]
In 1933, Wiley Post flew around the world in 7 days, 18 hours. Wiley's trip would best
be described as flying around the of the earth.
a. perimeter
c. volume
d. diameter
b. area
Answer: perimeter
Step-by-step explanation:
In the figure above, AC = BC. If m
Answer:
80 degrees
Step-by-step explanation:
since ac and bc equal each other, it is an isosceles triangle. due to that, the measure of angle a and b are 50. so the measure of angle c is 80. due to some theorem, angle ecd is equal to angle acb. so ecd = 80
Leisa is Harold's older sister. Leisa says 2 + 5 (4) = 28 and Harold
says
2 + 5
(4) = 22 Who is WRONG? Explain what was done wrong.
What can equal 628 by multiplying? These things can be soooo challenging these days.
Answer:
314 * 2
Step-by-step explanation:
I also really need help on this to
How much force is needed to accelerate a 70 kg skier at 2 m/sec2?
Force = mass x acceleration
Force = 70 kg x 2 m/s^2
Force = 140 N
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
5
Step-by-step explanation:
find the value of x so that the function has the given value
f(x) = 4x -3; f(x) = 33
Answer:
x = 9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 4x - 3
f(x) = 33
Step 2: Solve for x
Substitute: 33 = 4x - 3Isolate x term: 36 = 4xIsolate x: 9 = xRewrite: x = 9What is the ratio of the side lengths of a shape to the area of that shape?
Answer:
The area of a shape is the amount of two-dimensional space that it covers. The ratio of the perimeter to the area of a shape is simply the perimeter divided by the area. This is easily calculated.
Which quadrant is the following point in?
Point A (1,3)
Answer:
Its first quadrant bro.
I WILL GIVE BRAINLEST!!!!!!!
Frank earned x dollars the first week of his new job. He earned 5% more the
second week than the first week. Which expression represents the total amount of
money Frank earned for both weeks?
A. 1.50x
B. 1.05x
C. 2.00x
D. 2.05x
PLSSSSS SHOW YOUR WORK PLSSSSSSS
Answer:
D
Step-by-step explanation
10/5=2
10x0.02=0.05
2+0.05=2.05
Find the volume of the rectangular prisim 18 in 10 in 5 in
Answer:
[tex]900m^3[/tex]
Step-by-step explanation:
Volume is found when you multiply length by height by width.
So, in this case, 18 times 10 times 5.
[tex]18*10*5=180*5=900[/tex]
So, [tex]900m^3[/tex] is the answer
Hope this helped! :)
What is the quotient of 3/4 divided by 1/5?
The quotient is
3 and ___________
Answer:
The quotient is 3 and [tex]\frac{3}{4}[/tex].
Step-by-step explanation:
To find the quotient of the division (which is just the solution, really), we have to solve the division itself:
[tex]\frac{\frac{3}{4}}{\frac{1}{5}}[/tex]
[tex]= \frac{3 \cdot 5}{1 \cdot 4}[/tex]
[tex]= \frac{15}{4}[/tex]
Now that we know the quotient, we can look at the question itself to find it requires from us an answer with a whole number in it.
Therefore, we transform the fraction as thus:
[tex]\frac{15}{4}[/tex]
[tex]= 3 \frac{3}{4}[/tex]
Therefore, the final answer is 3 and [tex]\frac{3}{4}[/tex].
Hope this helped!
Simplify
6y(2x +9) – 3(x — 4xy)
Answer: 3 • (8yx + 18y - x)
Step-by-step-explain : STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
x - 4yx = -x • (4y - 1)
Equation at the end of step
2
:
(6y • (2x + 9)) - -3x • (4y - 1)
STEP
3
:
Equation at the end of step 3
6y • (2x + 9) - -3x • (4y - 1)
STEP
4
:
STEP
5
:
Pulling out like terms
5.1 Pull out like factors :
24yx + 54y - 3x = 3 • (8yx + 18y - x)
Final result :
3 • (8yx + 18y - x)
A limited government is a system in which the people and their leader(s) create a __________ that limits the government's authority over the people. A. constitution B. warranty C. pardon D. treaty Please select the best answer from the choices provided A B C D
Answer:
The answer for this question is
A. Constitution
Hope it helps
Answer:
A.
Step-by-step explanation:
constitution
hope it helps!
Seven times some number, added to 3, amounts to -25 added to the product of 3 and the number. Find the number.
7x+4=3x-20
Subtract 3x to the left.
4x+4=-20
Subtract 4 to the right.
4x=-24
Divide -24/4 to isolate variable "x".
x=-6
Plug it back it to prove the solution.
7(-6)+4=3(-6)-20
-38=-38
please mark as brainlistAnswer:
7x+3=-25+3x
minus 3 on both sides
7x=-28+3x
minus 3x both sides
4x=-28
divide 4 both sides
x=-7
the number is -7
What value does the digit 3 represent after 2,734 is multiplied by 1,000?
Answer:30,000
Step-by-step explanation: