The function g is:
[tex]g(x) = |4x| + 4[/tex]
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Horizontally shrinking a function f(x) by a factor of [tex]\frac{1}{a}[/tex] is equivalent to finding f(ax).
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In this question, the function is:
[tex]f(x) = |2x| + 4[/tex]
Horizontally shrinking by a factor of [tex]\frac{1}{2}[/tex] means that [tex]a = 2[/tex], so:
[tex]g(x) = f(ax) = f(2x) = |2(2x)| + 4 = |4x| + 4[/tex]
Thus, the function g is:
[tex]g(x) = |4x| + 4[/tex]
A similar question is given at https://brainly.com/question/20379647
54. Mrs. Jackson bought 7 dozen eggs for an egg-tossing contest. If each of the 26 teams
is given the same number of eggs, how many eggs does each team get?
Answer:
Each team will get 3 eggs
Step-by-step explanation:
First determine the number of eggs
7 * 12 = 84 eggs
Then divide by the number of teams
84/26 =3 with 6 left over
Each team will get 3 eggs
Shelly and Terrence earned points in a game by completing various tasks. Shelly completed x tasks and scored 90 points on each one. The expression below shows Terrence's total points in the game: 90x − 20 What does the constant term of the expression represent? (2 points)
Answer:
the constant term of the expression represents the difference between Shelly and Terrence points.
I'm new to algebra and I'm having trouble solving this equation can someone answer with steps
Answer:
[tex]u(u + 1)[/tex]
Step-by-step explanation:
first and foremost you have positive and minus 1 which will cancel out to zero
then we're left with
[tex] {u}^{2} + u \\ factorize \: \: u \: out \: to \: get \\ u(u + 1)[/tex]
Ссппер
What is the image of (7, -2) after a reflection over the line y = -x?
Answer:
(2, -7)
Step-by-step explanation:
Solve for v: w = v/r
Answer:
v = wr
Step-by-step explanation:
[tex](r)w=\frac{v}{r}(r)\\wr=v[/tex]
Answer:
v = w/r
Step-by-step explanation:
w = v/r
v = w/r
Which expression is equivalent to the product of p+7/3 and6/p , where p0? PLZZZZ HELPPPPPPP
Answer: [tex]6+\dfrac{14}{p}[/tex] .
Step-by-step explanation:
To find : The expression is equivalent to the product of [tex]p+\dfrac73\text{ and }\dfrac6p[/tex], where p ≠0.
Product of [tex]p+\dfrac73\text{ and }\dfrac6p[/tex] = [tex](p+\dfrac73)\times\dfrac6p[/tex]
Using distributive property: [tex](b+c)a= ba+ca[/tex]
[tex](p+\dfrac73)\times\dfrac6p=p\times\dfrac6p+\dfrac73\times\dfrac6p\\\\= 6+\dfrac{7}{1}\times\dfrac2p\\\\=6+\dfrac{14}{p}[/tex]
Hence, the required expression is [tex]6+\dfrac{14}{p}[/tex] .
Answer:
B!!!
Step-by-step explanation:
Multiply then divide every number by 2 to simplify.
Find the value of x.
Answer:
70°
Step-by-step explanation:
an inscribed angle is half of the intercepted arc
arc = 2(15) = 30
1/2(x - 30 ) = 20
x - 30 = 40
x = 70
Samuel takes 5 hours to make a table and a chair. He takes 9 hours to make 3 chairs
and a table. How much time does he take to make a table?
Answer:
3 hours
Step-by-step explanation:
t = time to make a table
c = time to make a chair
t + c = 5
t+3c = 9
Subtract the second equation from the first
t+3c = 9
-(t + c = 5)
-----------------------
2c = 4
Divide by 2
2c/2 = 4/2
c =2
2 hours for the chair
t+c = 5
t+2 = 5
t = 5-2
t = 3hours
Answer:
It takes 3 hours to make a table.
Step-by-step explanation:
Table and chair : 5 hours
Table and 3 chairs : 9 hours
(Table and 3 chairs) - (Table and chair) = (2 chairs)
9 hours - 5 hours = 4 hours
2 chairs : 4 hours / 1 chair : 2 hours
Table and chair : 5 hours
Chair : 2 hours
Table: x hours
5 - 2 = 3
Table : 3 hours
Write an equation to model the distance between the point (2,4) and any point along the curve
y=4x3 + 1.
Answer:
Distance D = √ [(2 - x)^2 + (3 - 4x^3)^2].
Step-by-step explanation:
Use the distance formula:
D = √[(x2 - x1)^2 + (y2 - y1)^2].
So here it is
D = √[(2 - x)^2 + (4 - y)^2] where x,y is any point on the curve.
D = √[2 - x)^2 + (4 - (4x^3 + 1))^2]
D = √ [(2 - x)^2 + (3 - 4x^3)^2]
Write the equation of the line that passes through the point (-1, -2) and is parallel to the
graph of y-3x - 2.
XY
Answer:
y = -3x - 5
Step-by-step explanation:
In order to form a parallel line, the two lines must have the same slope. Substitute the values into the point-slope formula to make the equation.
[tex]y-y_1=m(x-x_1)\\y-(-2)=-3(x-(-1))\\y+2=-3(x+1)\\y+2=-3x-3\\y=-3x-5[/tex]
Therefore, the equation is y = -3x - 5.
m∠QPSm, is a straight angle m∠RPS=6x+11 m∠QPR=7x+143 ;Find RPS
Answer:
23
Step-by-step explanation:
6x + 11 + 7x + 143 = 180
13x + 154 = 180
13x = 26
x = 2
m<RPS = 6(2) + 11 = 23
Please answer this question now
Answer:
54
Step-by-step explanation:
To solve problems like this, always recall the "Two-Tangent theorem", which states that two tangents of a circle are congruent if they meet at an external point outside the circle.
The perimeter of the given triangle = IK + KM + MI
IK = IJ + JK = 13
KM = KL + LM = ?
MI = MN + NI ?
Let's find the length of each tangents.
NI = IJ = 5 (tangents from external point I)
JK = IK - IJ = 13 - 5 = 8
JK = KL = 8 (Tangents from external point K)
LM = MN = 14 (Tangents from external point M)
Thus,
IK = IJ + JK = 5 + 8 = 13
KM = KL + LM = 8 + 14 = 22
MI = MN + NI = 14 + 5 = 19
Perimeter = IK + KM + MI = 13 + 22 + 19 = 54
Use graphing technology to find the range of the function f(x)=|x-3|
Answer:
[0,infinity)
Step-by-step explanation:
Since it's a modulus function, f(x) will have a range of [0,infinity). Use desmos for graphing it
The total cost of a watch and a radio is Rs 500. If the watch is cheaper than the Equations radio by Rs 150, find their cost.
Answer:
the watch is Rs 175
the radio is Rs 325
Step-by-step explanation:
x = price of the watch
y = price of the radio
x+y = 500
x + 150 = y
=>
x + (x+150) = 500
2x + 150 = 500
2x = 350
x = 175
=>
y = 175 + 150 = 325
Write the mixed numbers as fractions.
1/2/3
Answer:
5/3
Step-by-step explanation:
1) The denominator will be multiply to the whole number to find the improper fraction. 3 (denominator) x 1 (whole number)
2) 1 plus 2 (numerator) equal 5
3) Always keep the denominator (3) for you improper fraction.
4) 5 will be the numerator and 3 will be the denominator.
5/3
what is a coterminal angles
Answer: Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians.
complete the square to solve
f(x)=x^2-6x+5
A graphed system of linear inequalities is shown below.
image 28bfc30ab63a4ce9803aa27b02433fa0
Which of the following ordered pairs is a solution to the system of inequalities? Select ALL that apply.
A
(−4,1)
B
(−3,−4)
C
(0,−3)
D
(0,1)
E
(5,−2)
Answer:
C
(0,−3)
E
(5,−2)
Step-by-step explanation:
We need to find a point in the shaded region
A
(−4,1)
x = -4 is not in the shaded region
B
(−3,−4)
x = -3 is not in the shaded region
C
(0,−3)
Since the bottom line is solid, this is in the shaded region
D
(0,1)
Since the line is dotted, this is not in the shaded region
E
(5,−2)
This point is in the shaded region
Answer:
Step-by-step explanation:
its right
If 2x/3−x/10=17/10, then x = ?
Answer:
x=3
Step-by-step explanation:
2x/3−x/10=17/10
Multiply each side by 30 to get rid of the fractions
30( 2x/3−x/10)=(17/10)*30
Distribute
20x -3x = 51
Combine like terms
17x = 51
Divide by 17
17x/17 = 51/17
x=3
Trevor spent $27 and now has no money left. He had $___ before his purchase. He had $__before his purchase
Answer:
27
Step-by-step explanation:
What’s 4%x56? 2 A.2.24 B.1.12 or C.0.448
Answer:
A. 2.24
Step-by-step explanation:
Multiply 56 by 0.04
56(0.04)
= 2.24
Answer:
Option A
Step-by-step explanation:
4% * 56 =
0.04 * 56 = (Convert the percent into a decimal.)
2.24 (Multiply)
Hope this helps.
Please help please with geometry
Answer:
33
Step-by-step explanation:
HJ = HI + IJ
HJ = 3x - 9, HI = x and IJ = x + 5
So 3x - 9 = x + x + 5
Solve for x
Combine like terms
3x - 9 = 2x + 5
Add 9 to both sides
3x = 2x + 14
Subtract 2x from both sides
x = 14
Find HJ
HJ = 3x - 9
We have found that x = 14
HJ = 3(14) - 9
Multiply 3 and 14
HJ = 42 - 9
Subtract
HJ = 33
ASAP!!! PLEASE help me solve this question! No nonsense answers, and solve with full solutions.
Answer:
134
Step-by-step explanation:
Angle Formed by Two Chords= 1/2(SUM of Intercepted Arcs)
x = 1/2 ( m DH + m BC)
x = 1/2 (144+ 124)
x = 1/2 ( 268)
x = 134
A gardener has 1300 saplings. He wants to plant these in such a way that the number of columns and the number of rows remain same. Find the least number of more saplings he needs for this.
Answer:
69
Step-by-step explanation:
Square root of 1300= 36
(37)²>1300>(36)²
Therefore , the requirement no. to be added to get a perfect square
=(37)²=1369
= 1369- 1300=69
The least no. Of sapling he needs for this = 69
Algebra 1 need help ASAP
Answer:
see explanation
Step-by-step explanation:
Given
10 - 3x < x + 30 ( subtract x from both sides )
10 - 4x < 30 ( subtract 10 from both sides )
- 4x < 20 ( divide both sides by - 4 and flip the sign )
x > - 5
The ratio of the measures of the acute angles of a right triangle is $8:1$. In degrees, what is the measure of the largest angle of the triangle?
Answer:
The angles in the triangle and 10, 80 and 90
Step-by-step explanation:
The two angles that are left in a right triangle add to 90 degrees
8:1 means that there total is 9
8x+1x = 9x
9x = 90
Divide by 9
9x/9 = 90/9
x = 10
8*10 = 80
1*10 = 10
The angles are 80 and 10
The angles in the triangle and 10, 80 and 90
2 1/2 + 3 1/4 = ? pls
Answer:
5 [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
2 [tex]\frac{1}{2}[/tex] + 3 [tex]\frac{1}{4}[/tex]
= (2 + 3) + [tex]\frac{1}{2} + \frac{1}{4}[/tex] Here we add the two whole numbers first
= 5 + [tex]\frac{1}{2} + \frac{1}{4}[/tex]
= 5 + [tex]\frac{2}{4} +\frac{1}{4}[/tex] Here you bring the two fractions to a common denominator and to to this you find the highest common factor of the denominators.
= 5 + [tex]\frac{3}{4}[/tex] Here we added 1/4 and 2/4
= 5 [tex]\frac{3}{4}[/tex] This is the answer simply add 5 and 3/4
HOPE THIS HELPED
Answer:
Step-by-step explanation:
Your answer is 5 3/4
68) Volume of a Bucket: Determine the volume of a cylindrical bucket in cubic inches if the bucket's radius is 5 in.
and the height is 12 in. The formula for the volume of a cylinder is V = yrah. Use the Te key on your calculator.
Answer:
V = 300[tex]\pi[/tex] in³ or 942.48 in³
Step-by-step explanation:
Use the cylinder volume formula, V = [tex]\pi[/tex]r²h, where r is the radius and h is the height.
Plug in the values and solve:
V = [tex]\pi[/tex](5²)(12)
V = 300[tex]\pi[/tex] in³ or 942.48 in³
Can someone please help!
Plot point F where angle alpha is located.
Triangle ABF has two interior angles x and 80. They add to the exterior angle alpha due to the remote interior angle theorem.
alpha = x+80
Answer: Choice DFind the surface area and volume of cone. A = rs + r2 V = 1/3r2 h A cone's slant height (s) is 15 cm and its radius is 8 cm. Surface area (to the nearest tenth) = cm2 Volume (to the nearest tenth) = cm3
Answer:
a) 483.6cm²b) 850.1 cm³Step-by-step explanation:
Given the slant height 's' and its radius 'r' to be 15cm and 8cm respectively.
the total surface of the cone A = πrs+πr² and the volume is expressed as
V = 1/3πr²h
For the surface area of the cone;
Given parameters
radius = 8 cm and slant height s = 15 cm
Total surface area A = π(8)(15) + π(8)²
A = 90π+64π
A = 154π
If π = 3.14
A = 154(3.14)
A = 483.56cm²
A = 483.6cm²
Hence the total surface area of the cone to the nearest tenth is 483.6cm²
For the volume of the cone;
V = 1/3πr²h
Using pythagoras theorem to get the height of the cone;
l² = h²+r²
h² = l²-r²
h² = 15²-8²
h² = 225-64
h² = 161
h = √161
h = 12.69cm
V = 1/3π* (8)² * 12.69
V = 1/3π* 64 * 12.69
V = 1/3*3.14* 64 * 12.69
V = 2550.1824/3
V = 850.06 cm³
V = 850.1 cm³
Hence, the volume of the cone is 850.1 cm³ to the nearest tenth.