Use f(x) = |x|
f(x) is shifted left 5 and shifted up 2 to create g(x). Write the equation g(x).
g(x)=
....i dk if you need this or not but if you do it is here: g(x) = |x + 2| + 1
Answers
Answer:
[tex]g(x) = f(x + 5) + 2[/tex], or [tex]g(x) = | x + 5| + 2[/tex]
Step-by-step explanation:
To shift f(x) left 5, we should add 5 to x.
That way, each value of the new function takes the value of 5 tiles right in the original function.
So far, we have [tex]g(x) = f(x + 5)[/tex].
We also need to shift it up 2, therefore, we should add 2 to every y value.
Therefore, we have [tex]g(x) = f(x + 5) + 2[/tex].
Related Questions
Please Answer Need Badly Will give Brainlyest
What is 9+9
Answers
Answer:
that is definitaly 18
Step-by-step explanation:
i will break it down 3+3+3=9 3+3+3=9 again 9+9=18
[tex]answer[/tex]
18
Step by step formula:Break it down: 3+3+3= 9, Another 3+3+3= 9 (3 addition in 6 places will give 18). 9+9 = 18
Solve. Check for extraneous solutions. (2 x+3)³/₄-3=5
Answers
x = 13/2 is not an extraneous solution.
[tex](2x+3)^{3/4}[/tex] - 3 = 5
Adding 3 on both the sides of the equation, we get
[tex](2x+3)^{3/4}[/tex] - 3 + 3= 5 + 3
[tex](2x+3)^{3/4}[/tex] = 8
On the right hand side of the equation, 8 can also be written as
[tex](2x+3)^{3/4} = 2^{(3/4)*4}[/tex]
Taking power 4/3 on both the side of the equation, we get
(2x + 3) = 2⁴
2x + 3 = 16
2x = 13
x = 13/2
Check for extraneous solution and putting x = 13/2 in the original equation, we get
[tex](2(13/2) + 3)^{3/4}[/tex] - 3 = 5
[tex]16^{3/4}[/tex] - 3 = 5
8 - 3 = 5
5 = 5
⇒ LHS = RHS
∴ x = 13/2 is not an extraneous solution.
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Solve each equation by factoring. Check your answers.
3 x²+8 x+4=0
Answers
The factors for given equation are -2/3 and -2.
Rewriting the equation firstly -
3x² + 8x + 4 = 0
ax² + bx + c = 0
Factorizing the equation as per mentioned two rules -
Sum of the factors should be equal to b (8 in this question)Product of the factors should be equal to product of a and c (12 in this question)6 and 2 are the suitable factors for given expression -
3x² + 6x + 2x + 4 = 0
3x (x + 2) + 2(x + 2) = 0
(3x + 2) (x + 2) = 0
3x + 2 = 0
3x = -2
x = -2/3
x + 2 = 0
x = -2
So, the two factors of equation are -2/3 and -2.
To check the factors, we will keep the value of x in equation -
When x = -2/3
3x² + 8x + 4 = 0
3(-2/3)² + 8(-2/3) + 4 = 0
3(4/9) - 16/3 + 4 = 0
4/3 - 16/3 + 4 = 0
Multiplying the equation with 3/4
1 - 4 + 3 = 0
- 3 + 3 = 0
0 = 0
When x = -2
3x² + 8x + 4 = 0
3(-2)² + 8(-2) + 4 = 0
12 - 16 + 4 = 0
- 4 + 4 = 0
0 = 0
Since for both values of x, Left hand Side and Right Hand Side of equation is same, the two resultant factors are correct.
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m∠ABC=(6x+8)° and m∠DEF=(12x−8)°. If ∠ABC and ∠DEF are supplementary, what is the measure of each angle?
Answers
Given that ∠ABC and ∠DEF are supplementary, the numerical value of ∠ABC and ∠DEF are 68° and 112° respectively.
What is the measure of each angle?Supplementary angles are angles that sum up to 180 degrees.
Given the data in the question;
∠ABC and ∠DEF are supplementaryMeasure of ∠ABC = (6x + 8)°Measure of ∠DEF = (12x − 8)°Since ∠ABC and ∠DEF are supplementary, it means they sum up to 180 degrees.
Measure of ∠ABC + Measure of ∠DEF = 180°
Plug in the given values and solve for x
(6x + 8) + (12x − 8) = 180
6x + 8 + 12x − 8 = 180
6x + 12x + 8 - 8 = 180
18x + 0 = 180
18x = 180
x = 180/18
x = 10
Now, the numerical measure of each angle will be;
Measure of ∠ABC = (6x + 8)° = 6(10) + 8 = 60 + 8 = 68°
Measure of ∠DEF = (12x − 8)° = 12(10) - 8 = 120 - 8 = 112°
Given that ∠ABC and ∠DEF are supplementary, the numerical value of ∠ABC and ∠DEF are 68° and 112° respectively.
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Nick estimates that 50% of his income goes toward living expenses. Of the rest 50% goes to paying for his car and 25% of what is left goes to. his other expenses. IF nick has $300 remaining at the end of the month how much does he earn?
Answers
Based on the amount that Nick is left with at the end of the month, the amount he earns is $2,400
What does Nick earn?The amount of $300 that is left is 25% of 50% of Nick's income as the other 75% of the 50% went to paying for the car and other expenses.
25% of 50% is:
= 25% x 50%
= 12.5%
The amount Nick makes per month is:
= Amount remaining / Amount remaining in percentage terms
= 300 / 12.5%
= $2,400
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Evaluate
2(-5)(-1)(-1)
Answers
Answer:
-10
Step-by-step explanation:
[tex]2\left(-5\right)\left(-1\right)\left(-1\right)\\(-5)(-1) = |5|\\= 2 \times 5\left(-1\right)\\2 \times 5 = 10\\10 \times |-1| = -10\\= -10[/tex]
Answer:
-10
Step-by-step explanation:
Let's solve the problem,
→ 2(-5)(-1)(-1)
→ (2 × -5) × (-1 × -1)
→ -10 × 1 = -10
Thus, the answer is -10.
A frog is about to hop from the bank of a creek. The path of the jump can be modeled
by the equation h(x) = -x² + 4x + 1, where h(x) is the frog's height above the water and
x is the number of seconds since the frog jumped. A fly is cruising at a height of 5 feet
above the water. Is it possible for the frog to catch the fly, given the equation of the
frog's jump?
Answers
Answer:
The frog will catch the fly after 2 seconds of his jump.
Step-by-step explanation:
It is given that a frog is about to hop from the bank of a creek. The path of the jump can be modeled by the equation h(x) = -x² + 4x + 1, where h(x) is the frog's height above the water and x is the number of seconds since the frog jumped and a fly is cruising at a height of 5 feet above the water.
Now, let us assume that the frog catches the fly that is cruising at a height of 5 feet above the water;
=> h = 5 feet
So, let us put the value of h = 5 for time x;
=> h(x) = -x² + 4x + 1
=> 5 = -x² + 4x + 1
=> x² - 4x - 1 + 5 = 0
=> x² - 4x + 4 = 0
Now, on solving the above equation we get;
=> x² - 4x + 4 = 0
=> x² - (2 + 2)x + 4 = 0
=> x² - 2x - 2x + 4 = 0
=> x (x - 2) - 2 (x - 2) = 0
=> (x - 2) (x - 2) = 0
On comparing and solving for the value of x we get;
=> (x - 2) = 0
=> x = 2
and
=> (x - 2) = 0
=> x = 2
Therefore, the frog will catch the fly after 2 seconds of his jump.
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Does the function below represent a linear function, an exponential function, a quadratic function, or none of these?
function----> f(x)=5*2^x
Question 1 options:
linear
exponential
quadratic
none of these
Answers
The equation of the function given as (x)= 5 * 2^x is an exponential function
How to determine the function type?The equation of the function is given as
f(x)= 5 * 2^x
An exponential function is represented as
f(x) = a * b^x
Where
Initial value = a
Rate = b
This means that
a = 5
b = 2
Hence, the equation of the function given as (x)= 5 * 2^x is an exponential function
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Which equation defines a line that best fits all the points on the graph
Answers
The equation that best fits all the points on the graph is y = -2x + 3.
What is the line of best fit?The line of best fit is a line that can be drawn to connect most of the points on the graph. In other words, it best fits the points.
Using a linear regression tool, input the coordinates that are on the graph including:
(-4, 10) (-2, 8) (-1, 5) (1, 3) (2, 0) (2, -3)
The formula you get for line of best fit would be:
y = -2.08564x + 3.01259
Rounding up gives:
y = -2x + 3
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Pluto is approximately 2.7 miles from the Sun. Venus is approximately 6.7 miles from the Sun.
Approximately how many times greater is the distance of Pluto from the Sun than the distance of Venus from the Sun?
Answers
Answer:
C. 40 times greater is the distance of Pluto from the Sun than the distance of Venus from the sun.
A woman looks out a window of a building. She is 94 feet above the ground. Her line of sight makes an angle of θ with the building. The distance in feet of an object from the woman is modeled by the function d=94 secθ. How far away are objects sighted at angles of 25° and 55°?
Answers
The required distance of object far from 25° and 55° are 103.71feet and 163.88feet respectively.
Function and values in trigonometry identityTrigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given the trigonometry identity;
d=94 secθ.
If the object is sighted at an angle of 25°, then;
d=94 sec25
d = 94 × 1/cos25
d = 94 × 1.1033
d = 103.71feet
If the object is sighted at an angle of 55°, then;
d=94 sec55
d = 94 × 1/cos55
d = 94 × 1.7434
d = 163.88feet
Hence the required distance of object far from 25° and 55° are 103.71feet and 163.88feet respectively.
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ANSWEE ASAPP !!!
what point do the equations y=2x+1 , y=3x+1 and 5x+1 have in common?
a) 2,0
b) 0,3
c) the origin
d) they have no point in common
e) 0,1
Answers
the answer is the 0,1 because the lines all have different slopes but always start at 1.
Which of the following statements is true?
A) Two shapes are congruent if their corresponding angles are congruent.
B) Two shapes are not congruent if their corresponding sides and corresponding angles are
congruent.
C) Two shapes are congruent if their corresponding sides and corresponding angles are
congruent.
D) Two shapes are congruent if their corresponding sides are congruent
Answers
Answer:
Two shapes are congruent if their corresponding sides and corresponding angles are congruent.
Step-by-step explanation:
This is the definition of congruency.
help me please
show your solution
Answers
Step-by-step explanation:
the first suspicion we get from the first terms is that the creation algorithm is a multiplication by 3.
-1/3 × 3 = -1
-1 × 3 = -3
-3 × 3 = -9
then the next term would be
-9 × 3 = -27
and the next
-27 × 3 = -81
and the 7th term, that we have already defined, would be
-81 × 3 = -243
we are correct !
so, the missing terms are
-27, -81
PLEASE HELP QUICK!! I’m so irritated!!!
Answers
answer: 8 wholes and 3/4
1 point If the distance from A(1, 6) to B(x, -2) is 10, then what is a possible value for x? (A) 11 (B) -5 (C) -7 (D) 8 (E) 6
Answers
Answer:
B
Step-by-step explanation:
calculate the distance between A and B using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A (1, 6 ) and (x₂, y₂ ) = B (x, - 2 )
d = [tex]\sqrt{(x-1)^2+(-2-6)^2}[/tex]
= [tex]\sqrt{(x-1)^2+(-8)^2}[/tex]
= [tex]\sqrt{(x-1)^2+64}[/tex]
given AB = 10, then equating gives
[tex]\sqrt{(x-1)^2+64}[/tex] = 10 ( square both sides to clear the radical )
(x - 1)² + 64 = 10² = 100 ( subtract 64 from both sides )
(x - 1)² = 36 ← take square root of both sides
x - 1 = ± [tex]\sqrt{36}[/tex] = ± 6 ( add 1 to both sides )
x = 1 ± 6
then
x = 1 - 6 = - 5
x = 1 + 6 = 7
from the list then x = - 5 is a possible value
m-a=n-p, solve for a
Answers
Answer:
m + n + p = a
Step-by-step explanation:
m - a = n- p
M = a - n - p
M + n = a - p
M + n + p = a
A cool rock is quickly rolling down one side of a volcano. Compared with the same mass of hot lava that is slowing flowing down the other side, the rock has _____.
1. more thermal energy and more mechanical energy
2. less thermal energy and more mechanical energy
3. less thermal energy and less mechanical energy
4. more thermal energy and less mechanical energy
Answers
When the cool rock that is rolling down the side of the volcano is compared to the mass of hot lava that is slowly flowing, the rock has 2. less thermal energy and more mechanical energy.
What is mechanical energy?The mechanical energy that an object has refers to the combination of kinetic and potential energy. The rock will have more mechanical energy than the hot lava as it is moving faster.
Thermal energy on the other hand refers to how much heat/ energy is in an object. The rock is cool as opposed to the hot lava which would have more thermal energy as a result of its heat.
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Solve each equation. Check for extraneous solutions. 3√2 x+6=18
Answers
The solution of the equation 3√2 x + 6 = 18 is 2√2.
An extraneous solution is one that results from the process of addressing the problem but is not a legitimate solution to the problem, such as the answer to an equation.
A formula known as an equation uses the equals sign (=) to express how two expressions are equal.
Consider the equation,
3√2 x + 6 = 18
Subtracting 6 from each side of the equation.
3√2 x + 6 - 6 = 18 - 6
3√2 x = 12
Dividing each side of the equation by 3.
( 3√2 x / 3 ) = ( 12/3 )
√2 x = 4
Dividing each side of the equation by √2.
( √2x/√2 ) = ( 4/√2 )
x = 2√2
Now checking the extraneous solution:
x = 2√2
[tex]3\sqrt{2}x + 6 = 18\\ 3\sqrt{2} \times 2\sqrt{2} + 6 = 18\\ 6(2) + 6 = 18\\ 18 = 18[/tex]
The solution for the equation is 2√2.
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Find the area and perimeter.
Answers
Answer:
Area: 6[tex]x^{2}[/tex] - 8x
Perimeter: 10x - 8
Step-by-step explanation:
Area:
Multiple the 2 sides together
2x(3x -4) Distribute the 2x
2x(3x)- 2x(4)
6[tex]x^{2}[/tex] -8x
Perimeter:
Add the four sides together
3x -4 + 3x -4 +2x + 2x Combine like terms
10x - 8
3x+2y−z=82x+2z=−4x+3y=4
Enter your answer, in the form (x,y,z), in the boxes in simplest terms.
Answers
Answer: (1/14, 10/7, -13/14)
Step-by-step explanation:
3x+2y−z=82x+2z=−4x+3y=4 ==> convert this to system of equations
3x+2y−z=4
82x+2z=4
−4x+3y=4
(3x+2y−z=4)*2
6x+4y−2z=8 ==> add this equation
82x+2z=4 ==> add this equation
88x+4y=12 ==> add the top 2 equations
(−4x+3y=4)*4
-16x+12y=16
(88x+4y=12)*3 ==> multiply by 3 to get 12y
264x+12y=36
-16x+12y=16
264x-(-16x)=36-16
264x+16x=20
280x=20
280x/280=20/280
x=1/14
−4x+3y=4
−4(1/14)+3y=4
-4/14 + 3y=4
-2/7 + 3y=4
(-2/7 + 3y=4)*7 ==> multiply equation by 7 to remove fractions
-2+21y=28
21y=30
y=30/21
y=10/7
3x+2y−z=4
3(1/14)+2(10/7)−z=4
3/14 + 20/7 - z=4
(3/14 + 20/7 - z=4)*14 ==> multiply equation by 14 to remove fractions
3 + 20*14/7 - 14z=56
3 + 280/7 - 14z=56
3+40-14z=56
43-14z=56
43-43-14z=56-43
-14z=13
z=-13/14
Answer: (1/14, 10/7, -13/14)
1. 0.9+0.03+0.007? 2. 20 +0.7 + 0.08 + 0.006 3. 5 + 0.01 _0.009
Answers
Answer: 1. 0.937
2. 20.786
3. 35.001
Step-by-step explanation:
1. 0.9+0.03+0.007=
0.900+0.030+0.007=0.937
2. 20 +0.7 + 0.08 + 0.006=
20.000 +0.700 + 0.080 + 0.006=20.786
3. 35 + 0.01 - 0.009=
35.000 + 0.010 - 0.009=
35.010 - 0.009=35.001
Brice worked for 31.5 hours this week. Two-thirds of this time was spent working from home. How many hours did he spend working from home?
Answers
Answer:
21 hours
Step-by-step explanation:
If he worked 2/3 at home you need to divide 31.5 by 3 = 10.5
Then multiply by 2 = 21
Hope this helps! Have a great day :)
Write two numbers that multiply to the value on top and add to the value on bottom.
100 on top
-20 on bottom
Answers
Answer:
-10 and -10
Step-by-step explanation:
Can you use the same number twice?
charlotte is driving at 69.6 mi/h and receives a text message. she looks down at her phone and takes her eyes off the road for 4.06 s. how far has charlotte traveled in feet during this time?
Answers
Charlotte traveled in 414.44 feet during the time when she looks down at her phone and takes her eyes off the road for 4.06 s.
The first step is to convert miles per hour to feet per second.
(69.6 mi/hr)* (5280 feet/mi)*(1 hr/3600 sec) = 102.08 feet/sec
We know that,
Speed = [tex]\frac{Distance}{Time}[/tex]
Here, we have given,
Time = 4.06 s
Speed (feet/sec) = 102.08 feet/sec
We need to find, the distance charlotte traveled in feet during the time when she looks down at her phone and takes her eyes off the road for 4.06 s.
Putting the values in the formula, we get
Distance = Speed x Time
= 102.08 x 4.06
= 414.44 Feet
Hence, charlotte traveled in 414.44 feet during the time when she looks down at her phone and takes her eyes off the road for 4.06 s.
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I need the word problem translated to an inequality.
Half of 7 added to product of h and 4 is at least 1
Answers
Based on theword problem, the inequality of the word problem is 7/2 + 4h >= 1
What are inequalities?Inequalities are used to represent expressions that do not have equal values i.e. unequal expression
How to translate the word problem to an inequality?The word problem is given as
Half of 7 added to product of h and 4 is at least 1
At least 1 means greater than or equal to 1
So, the word problem becomes
Half of 7 added to product of h and 4 is at least 1 ⇒ Half of 7 added to product of h and 4 >= 1
The product of h and 4 means 4h
So, the word problem becomes
Half of 7 added to product of h and 4 is at least 1 ⇒ Half of 7 added to 4h >= 1
Half of 7 means 7/2
So, the word problem becomes
Half of 7 added to product of h and 4 is at least 1 ⇒ 7/2 added to 4h >= 1
added to means +
So, the word problem becomes
Half of 7 added to product of h and 4 is at least 1 ⇒ 7/2 + 4h >= 1
Hence, the inequality of the word problem is 7/2 + 4h >= 1
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Please help and find the value of x at the bottom.
Answers
The value of x in the triangle is 100 units.
How to find the side of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees.
The triangles formed are similar, therefore, they form a ratio or proportion.
Therefore, using similarity principle of triangles,
36 / 60 = 60 / x
cross multiply
36x = 60 × 60
36x = 3600
divide both sides by 36
36x = 3600
36x / 36 = 3600 / 36
x = 100
Therefore, the value of x in the triangle is 100 units.
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A regulation for riding a certain amusement park ride requires that a child be between 30 inches and 50 inches tall. Provide an inequality that can be used to determine whether or not a child's height "h" satisfies the regulation for this ride.
Answers
the inequality to determine if a child's height satisfies the regulation is:
30in < h < 50 in.
How to write the inequality?Here we know that the allowed height of the child can be any value between 30 inches and 50 inches (not included, so we need to use the symbols > and <)
So, if we define h as the height, then h must be larger than 30 inches, so we can wrte:
h > 30 in
And h must be smaller than 50 inches, then:
h < 50 in.
If we write these two inequalities as one, we get:
30in < h < 50 in.
That is the inequality to determine if a child's height satisfies the regulation.
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Can someone please help me?
Answers
Answer: that’s easily C because look down
Step-by-step explanation:
calculator lol I saw it don’t worry niu
7
Factor the expression below.
O A. 9(x²-2x+9)
O B.
(x-9)(x + 9)
O C.
(x-9)(x-9)
O D. (x + 9) (x + 9)
4
12 181 +81
Answers
_what is this this is futo balis subina to amake dis_