Answer:
[tex]\text{C. }g(x)=(x-5)^2[/tex]
Step-by-step explanation:
The function [tex]y=(x-c)^2[/tex] has a phase shift of [tex]c[/tex] to the parent function [tex]y=x^2[/tex]. Since [tex]g(x)[/tex] has moved to the right 5 units from the parent function [tex]f(x)=x^2[/tex], we're looking for a value of [tex]c=5[/tex].
Therefore, we have:
[tex]g(x)=\boxed{(x-5)^2}[/tex]
What are the roots of the equation 9x^2-42x+50=0 in simplest a+bi form?
Answer:
-7/3 +\- 1/3i
Step-by-step explanation:
I am stuck on this question.
Answer:
D. Yes; the graph passes the vertical line test.
Step-by-step explanation:
1. A and C are wrong since the number of x-values that a y-value have does not matter when it comes to functions.
2. When doing the vertical line test, it is done by drawing a vertical line (up to down) and then seeing if more than 1 point touches the line.
3. After drawing the vertical line you would see only 1 point touches the line which indicates that the graph passes the vertical line test.
4. Therefore, the answer is "D. Yes; the graph passes the vertical line test."
Which of the following is a geometric sequence?
O A. 2, 4, 8, 16, 32
O B. 3, 6, 9, 15, 24
O C. 6, 13, 20, 27, 34
O D. 2,5,7,12, 19
SOMEONE ONE PLEASE HELP
Answer:
ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Step-by-step explanation:
2. What are the zeros of the function
f(x)=2x2 - 2x - 4?
Answer:
-1 or 2
Step-by-step explanation:
2x2-2x-4
x2-x-2
x2+x-2x-2
x(x+1)-2(x+1)
(x+1)(x-2)
x=-1 or 2
Which expression is equivalent to - 5 over 3
There is 1 box of plain yogurt with 18 yogurt cups. There are 4 boxes of fruit yogurt each with c yogurt cups. Represent this situation with a picture or diagram.
What is the common ratio for the sequence 5.-10. 20.-40. ?
-2
-1/2
1/2
2
Answer:
-1/5
Step-by-step explanation:
i think thsts correct answer if not the answer is 1/2
help mi plzz.........
Determine the values of m and if the straight line y = mx + c passes through the point (3, 5) and has a gradient -4 .
Answer:
y = -4x + 17
Step-by-step explanation:
y = -4x + b
5 = -4(3) + b
5 = -12 + b
17 = b
please find Area of triangle
Answer:
60
Step-by-step explanation:
Side A would end up being 15 and then to find the area you would use your formula 1/2 × base × height.
Help! I got 3,593 but that doesn’t make sense
Because the number increase by a percentage this is an exponential growth problem.
The equation for exponential growth is :
Total = start value x ( 1 + percent) ^ time
Using the information from the problem:
2011-2005 = 6 years.
Total = 23 x (1 + 0.72)^6
Total = 23x 1.72^6
Total = 595.52 = 596 total people
What is the factored form of 6n4 – 2413 + 18n?
ово
Bn(n° +4nº +31)
Bn(-° +30
6n(n°-4n2+3)
o Bn(n° +4n? +3)
O
Option C is correct, 6n(n³-4n²+3) is the factored form of expression 6n⁴ – 24n³ + 18n
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 6n⁴ – 24n³ + 18n.
Six times of n power four minus twenty four times of n cube plus eighteen times of n.
6n⁴ – 24n³ + 18n.
Now we have to find the factored form of 6n⁴ – 24n³ + 18n.
Take 6n as common
6n(n³-4n²+3)
Hence, Option C is correct, 6n(n³-4n²+3) is the factored form of expression 6n⁴ – 24n³ + 18n
To learn more on Expressions click:
https://brainly.com/question/14083225
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Please help me!! I really need it!
Answer:
X= 7.5 Y=75
Step-by-step explanation:
If the equation y=-5x+12 is translated up five units, what would the new equation be?
Answer:
y=-5x+17
Step-by-step explanation:
Answer:
[see below]
Step-by-step explanation:
We would add '5' to the y-intercept (12) to make a translation up 5 units.
y = -5x + 12 + 5
y = -5x + 17
Hope this helps.
[tex]\sqrt \frac{256}{4\\}[/tex]
Answer:
8
Step-by-step explanation:
[tex]\sqrt{\frac{256}{4} }[/tex]
[tex]\sqrt{\frac{16*16}{2*2} }[/tex]
[tex]\sqrt{(\frac{16}{2})^2 }[/tex]
square and root gets cancel . so ,
[tex]\frac{16}{2}[/tex]
8
PlzzPlease help me bunnies <3
No monkey business plz. Or I will report
Defined the explicit section for the sqeucrce in the table
Thank you
Answer:
B. Linear decreasing
Step-by-step explanation:
Answer:
Linear decreasing;
Straight line = linear
Slope downwards (from left to right) = decreasing function
A plant costs p dollars and a bush costs b dollars. Ana buys 2 plants and 4 bushes for $42. Paola buys 7 plants and 9 bushes for $107. Write down a pair of simultaneous equations and solve them to find out the value of p and the value of b.
Answer:
2p + 4b = 42
7p + 9b = 107
p = $5
b = $8
Step-by-step explanation:
p is cost of plant, b is cost of bush
2p + 4b = 42
7p + 9b = 107
First we'll solve the first equation for p in terms of b:
2p + 4b = 42
subtract 4b from both sides
2p = -4b + 42
divide both sides by 2
p = -2b + 21
Now substitute that value in for p in the second equation, and solve for a numerical value of b:
7(-2b + 21) + 9b = 107
-14b + 147 + 9b = 107
combine like terms:
-5b = -40
b = 8
Use this to go back and solve for p:
p = -2b + 21
p = -2(8) + 21
p = -16 + 21 = 5
---------------------------
check the math:
2p + 4b = 42
2(5) + 4(8) = 10 + 32 = 42
one month Laura rented 3 movies and 2 video games for a total of 22$. The next month she rented 5 movies and 6 video games for a total of $52. Find the rental cost for each movie and each video game.
Step-by-step explanation:
24$
please help thank you
Answer:
50 ft²
Step-by-step explanation:
ΔABC ≅ ADC; therefore the area of ΔADC is 25 sq feet also
2(25) = 50 sq feet
If Arnold charges $522.00 for a 4 personal training sessions (of an hour each)
a) What is his hourly rate?
b) How much would he charge for a 3 hour session?
Answer:
Hourly rate = 130.50
3-hour session = 391.50
Step-by-step explanation:
Part 1
Step 1: Divide the given figures
522.00/4 = 130.50
Step 2: Multiply the result to the number being looked for
130.50 * 1 = 130.50
So, Arnold’s hourly rate is 130.50
Part 2
Step 1: Multiply the answer found in part one to 3
130.50 * 3 = 391.50
Therefore, Arnold’s would charge $391.50 in a 3-hour session
What is an equation of the line that passes through the points (-5,6) and (7,6)?
what is the value of the expression (-2 1/2 -7) -6 1/2
Answer:
-2
Step-by-step explanation:
If you need the work let me know but that should be correct! Good luck :)
If x + x = 9, then x =
Answer: x = 4.5
Step-by-step explanation: First, do x + x, since they are like terms. That equals 2x. The equation is now 2x = 9. Divide both sides by 2. x = 4.5.
x + x = 9
2x = 9
÷2 ÷2
---------------------
x = 4.5
x + x = 9
4.5 + 4.5 = 9
What is the solution to the system of equations ?
Y=2/3 x + 3
X= - 2
Answer:
x = -2, y = 5/3
Step-by-step explanation:
we have the value of x already (-2).
x=-2
Plug it into the first equation y = 2/3x+3
y = 2/3(-2)+3
y = -4/3+3
y = -4/3+9/3
y = 5/3
x = -2, y = 5/3
Factor completely 25x^4y^6 − 1
Answer:
(5x2y3+1)(5x2y3−1)
Step-by-step explanation:
In this case, since this equation has both sides as a perfect square, you can apply the difference of squares formula a^2 - b^2 = (a+b) (a-b)
Applying this formula and factoring it accordingly leaves us off with (5x2y3+1)(5x2y3−1).
Use the following situation to answer the questions that follow: A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t) = -16t2 + 32t + 6.
When is the ball at it's maximum height? Round to the nearest hundredth if needed.
Answer:
22 feet
Step-by-step explanation:
When graphing the equation, the peak or the maximum of the equation is reached the 1st second of the throw and it reaches 22 feet.
Cash in hand $79; Bank overdraft $27
Answer:
Step-by-step explanation:
cash in bank = 79
overdraft = 27
left = 79 - 27
= 52
Find (4.0×105)÷(5.89×102) by using a calculator. Give your answer in scientific notation and round to two decimal places.
Answer: [tex]7\times 10^{-1}[/tex]
Step-by-step explanation:
Given
[tex](4.0\times 105)\div (5.89\times 102)[/tex]
First solve the brackets part in calculator, we obtain
[tex]\Rightarrow 420\div 600.78\\\\\Rightarrow \dfrac{420}{600.78}=0.69909\approx 0.70\\\\\Rightarrow 7\times 10^{-1}[/tex]
15.
Which of the quadratic functions has the widest graph?
A. 0.3x2
B. -4x2
C. -4/5x2
D. 1/3x2
Answer:
A. 0.3x2
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
0
)
Focus:
(
0
,
0.8
¯
3
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
0.8
¯
3
x
y
−
2
1.2
−
1
0.3
0
0
1
0.3
2
1.2
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
0
)
Focus:
(
0
,
−
1
16
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
1
16
x
y
−
2
−
16
−
1
−
4
0
0
1
−
4
2
−
16
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
0
)
Focus:
(
0
,
−
5
16
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
5
16
x
y
−
2
−
16
5
−
1
−
4
5
0
0
1
−
4
5
2
−
16
5
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
0
)
Focus:
(
0
,
3
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
3
4
x
y
−
2
4
3
−
1
1
3
0
0
1
1
3
3
3