Answer:
(-2, -4)
Step-by-step explanation:
y = f(x) = ax²+bx +c
given the vertex is (3, -4)
=> the symetry axis: x = 3
x = -b/2a = 3
so, -b = 6a => b = -6a
the function f(x) = x²-6x + 5
g(x) = f(x+5)
g(x) = (x+5)²-6(x+5)+5
g(x) = x²+10x+25-6x-30+5
g(x) = x²+4x
=> a=1, b=4
find the vertex of the function g :
the symetry axis: x= -4/2(1) => x = -2
y = g(-2) = (-2)²+4(-2)= 4-8 = -4
so, the vertex is (-2, -4)
Answer:
(-2, -4)Step-by-step explanation:
Vertex form of a quadratic function:
f(x) = (x - h)² + kWe have (h, k) = (3, -4)
The function f(x) is:
f(x) = (x - 3)² - 4The function g(x) is:
g(x) = f(x + 5) =
(x + 5 - 3)² - 4 =
(x + 2)² - 4
Vertex of g(x) is:
(-2, -4)A jewelry box has a volume of 240 in cubic in. Its height is 12 inches, its width x in inches and its length ( x + 8) inches.
Answer:
Width of the box = 2 inches
Step-by-step explanation:
Volume of a box = length × width × height
Volume of the box = 240 cubic inches
Length of the box = (x + 8) inches
Width of the box = x inches
Height of the box = 12 inches
Volume of a box = length × width × height
240 = (x + 8) * x * 12
240 = (x² + 8x) * 12
240 = 12x² + 96x
12x² + 96x - 240 = 0
x² + 8x - 20 = 0
Solve quadratic equation using factorization method
x² + 10x - 2x - 20 = 0
x(x + 10) -2(x + 10) = 0
(x + 10) (x - 2) = 0
x + 10 = 0 OR x - 2 = 0
x = -10 OR x = 2
Width of the box can not be a negative value
Therefore,
Width of the box = 2 inches
Solve the system by graphing y=-2x + 2
y=-2x - 2
Answer:
hope it helps...
have a great day!!
Black pens come in boxes of 12. Blue pens come in boxes of 10. Red
pens also come in boxes of 10. You need a total of 50 of each color of
pen. You have 2 boxes of black pens, 3 boxes of blue pens, and 1 box of
red pens. How many boxes of each color should you order?
Answer
12+10+10+50+2+3+1=88
Step-by-step explanation:
Answer:
Red pens: 4 boxes
blue pens: 2 boxes
black: 3 boxes
Step-by-step explanation:
i need help with this!
Answer:
surface area of the square pyramid
=(10×10)+(2×10×8)
=100+160
=260 yd²
answer is first option
A jar contains black beads and green beads. Forty percent of the beads in the jar are green. A number generator simulates randomly selecting 10 beads from the jar. The number generator is used 12 times and the number of green beads in each trial is shown in the dot plot. Which description is correct about the number generator being fair or not? The number generator is not fair. The dot plot shows that 4 of 10 beads drawn are often green. The number generator is fair. The dot plot shows a distribution that is skewed right. The number generator is fair. It shows that 40% of the beads selected are green most of the time. The number generator is not fair. In most of the experiments, considerably less than 40% of the selected are green.
Answer:
The number generator is not fair. In most of the experiments, considerably less than 40% of the selected are green
Step-by-step explanation:
Given
[tex]Pr(Green) = 40\%[/tex]
See attachment for plots
Required
Is the number generator fair or not
From the number line, we have the following outcomes:
[tex]0 \to 1[/tex]
[tex]1 \to 1[/tex]
[tex]2 \to 7[/tex]
[tex]3 \to 2[/tex]
[tex]8 \to 1[/tex]
Divide each outcome by 12, to get the proportion of green in each trial
[tex]0 \to 1[/tex] [tex]\to 8.33\%[/tex]
[tex]1 \to 1[/tex] [tex]\to 8.33\%[/tex]
[tex]2 \to 7[/tex] [tex]\to 58.33\%[/tex]
[tex]3 \to 2[/tex] [tex]\to 16.33\%[/tex]
[tex]8 \to 1[/tex] [tex]\to 8.33\%[/tex]
The above shows that the proportion of green in most of the trial is less than 40%
Hence, the number generator is not fair.
Answer:
D
Step-by-step explanation:
The value of a Van Gogh painting increases by 7.3% each year. If it was valued at $94,000 in 1952, what will be its estimated worth in 2020?
Answer:
$11,321,630
Step-by-step explanation:
We solve using Exponential growth formula
A(t) = Ao (1 + r)^t
Ao = Initial worth = $94,000
r = Growth rate = 7.3% = 0.073
t = Time in years = 2020 - 1952
= 68 years
A(t) = Current worth in 2020 = After 68 years
A(t) = 94000 × ( 1 + 0.073)^68
A(t) = 94000 × 120.44286946
A(t) = 11,321,629.729
Therefore, the estimated worth of the Van Gogh painting in 2020 approximately = $11,321,630
Sam took a flight from Malaysia to UK. He left Malaysia at 12 pm local time. The flight time was 12 hours. If Malaysia is 7 hours ahead of UK, what was the local time in UK when he arrived?
Given:
Sam left Malaysia at 12 pm local time.
The flight time was 12 hours.
Malaysia is 7 hours ahead of UK.
To find:
The local time in UK when he arrived.
Solution:
It is given that Sam left Malaysia at 12 pm local time and the flight time was 12 hours.
12 hours after 12 pm is 12 am. It means local time in Malaysia when he reached UK is 12 am.
Malaysia is 7 hours ahead of UK. So, we need to subtract 7 hours from 12 am to get the local time in UK when he arrived.
12 am is midnight. So, 7 hours before 12 am is 5 pm.
12 am - 7 hours = 5 pm
Therefore, the local time in UK when he arrived is 5 pm.
ILL GIVE YOU 5 STARS
Answer:
if the formela right
so this is the answer
|2x+3|=7;2
help pls
Answer:
x = {-5, 2}
Step-by-step explanation:
unfamiliar with the notation 7;2
will solve for |2x + 3| = 7
Solution I - the quanity inside the absolute value is 7
2x + 3 = 7
2x = 4
x = 2
Solution II - the quanity inside the absolute value is –7
2x + 3 = –7
2x = -10
x = -5
-----------------
x = {-5, 2}
{x+y=-4
{y=2x-1
Help please. Thanks in advance.
(23 points)I need help really fast my last question
• exponential and linear growth
•Trolls Will be reported aww lol
Please I just need this answer right
Answer:
It's Option A. the more detailed answer is in you other, exact same, question.
note that others only get half of the points you pay. the are split between two answers
Find the interest rate if $6600 has
a final value of $8847 in 4 years.
Give your answer to 1 d.p.
Answer:
Interest = $ 2247.00
Step-by-step explanation:
principal=$6600
Amount=$8847
time=4 years
Interest=Amount - principal
=$8847 - $ 6600
=$2247 =
=$2247.00
See image for question. Please show workings.
Sorry for the wobbly writing.
*freq= frequency.
Answer:
See below and attachedStep-by-step explanation:
Refer to the graph attached1. The mean is calculated using below table
Marks Frequencies Midpoint Product
10 to 14 18 12 216
15 to 19 9 17 153
20 to 24 11 22 242
25 to 29 25 27 675
30 to 34 14 32 448
35 to 39 3 37 111
Sum 80 1845
The mean is:
1845/80 ≈ 232. The mode is the midpoint of the tallest bar.
The mode is
(25 + 29)/2 = 273. The median is the middle of the data set. The number of frequencies is 80, the middle frequency is number 40, which is within the 25 to 29 bar.
Formula to calculate median:
L + ( (n/2 – F) / f ) * wwhere
L: The lower limit of the median group = 25 n: The total number of observations = 80 F: The cumulative frequency up to the median group = 18 + 9 + 11 = 38 f: The frequency of the median group = 25 w: The width of the median group = 29 - 25 = 4Substitute values and calculate:
25 + ((80/2 - 38)/25) *4 = 25.32Can someone explain if this is correct. I’m unsure!
Answer:
Step-by-step explanation:
These are some more questions
Solve the equation by quadratic formula. Round to the nearest Tenth, if necessary
x^2 - 49 = 0
Answer:
[tex]x = 7 \: or \: x = - 7.[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 49 = 0[/tex]
Then
[tex] {x}^{2} = 49 [/tex]
So
[tex]x = 7 \: or \: x = - 7.[/tex]
Answer:
x = -7 , 7
Step-by-step explanation:
a² - b² = (a + b)(a - b)
x² - 49 = 0
x² - 7² = 0
(x + 7)(x -7) = 0
x + 7 = 0 ; x - 7 = 0
x = -7 ; x = 7
Quadrilateral ABCD underwent a sequence of transformations to give quadrilateral ABCD. Which transformations could have taken place?
Answer:
The answer is "A 10 units down traduction, following by 8 pieces right traduction".
Step-by-step explanation:
Even as the changed image is similar to the original picture in rotation, reflections, and translations, so every point would be modified so that the examination of each point will provide several changes performed.
Consideration of paragraph A(-6, 4).
When a point (x, y) k is transferred down, it becomes (x, y-k).
So when 10 units are converted to A, it becomes (-6, -6).
When the point (x, y) k units are translated, it becomes (x+k and y)
This manner, it gets 8 units (-6, -6) to the right point (2, -6)
These are the A' coordinates.
Thus, quadrilateral ABCD was subjected to 10 further units of translation and 8 to the left. translations .
What is special about the factored form of answer N-16x2 - 1?
Answer:
Both 16 and 1 are squares. This suggests using the formula for the difference of squares. Answer link.
Step-by-step explanation:
Every time you have a difference in the format of
A2−B2 you can factor as (A−B)(A+B).
Then you have to identify if your quantity is the difference of two squared quantities.
It is. In fact we can write it as:
16x2−1=(4x)2−12
Then we can apply our rule
[tex] {(4x)}^{2} - {1}^{2} = (4x - 1)(4x + 1)[/tex]
A town has a population of 17000 and grows at 4% every year. What will be the population after 12 years. To the nearest whole number
Answer:
17000+3400 =
Step-by-step explanation:
Answer:
25,160
Step-by-step explanation:
ok if it grows 4% every year, 12 years later it will have grown 48%. so 48% of 17,000 is 8,160, so 17,000+8,160=25,160, so that is the population after 12 years.
Help me please and no links
Answer:
x = -2
x=-12
Step-by-step explanation:
5 | x+7| +14 = 39
Subtract 14 from each side
5 | x+7| +14-14 = 39-14
5 | x+7| = 25
Divide each side by 5
5 | x+7| /5 = 25/5
| x+7| = 5
Make two equations, one positive and one negative
x+7 =5 x+7 = -5
Subtract 7 from each side
x+7-7 = 5-7 x+7-7 = -5-7
x = -2 x=-12
Please do not put any files and links. pick 1 answer. help please this is so hard for me tbh
Answer:
let's convert the 25 yards into feets -> 75 feet of wire.
now let's subtract the alrdy used 15 ½ feet from we that
we got 59 ½ feet left
now let's just take ⅓ of this, just by dividing by 3.
since this seems to be a mess in calculation, let's put in the effort to convert in into inches first.
59 ½ feet = 59½*12 inches = 714 feet
now we should be able to take ⅓ of it cleanly (since we just multiplied by 12)
⅓ of 714 is just as dividing 714 by 3
= 238
the time machine needs 238 inches of wire
this isn't just picking an answer tough, on the bottom of the exercises are the unit conversations
Which ordered pairis a solution to the system of inequalities graphed here
Answer:
B. (1,4)
Step-by-step explanation:
If you go over to the right by 1 and up by 4 the point will land inside the blue, hence it is the answer since the rest do not land inside the blue.
A pole that is 3.4 m tall casts a shadow that is 1.61 m long. At the same time, a nearby building casts a shadow that is 36.75 m long. How tall is the building?
Round your answer to the nearest meter.
Answer:
Step-by-step explanation:
Set this up as a proportion with pole/building height on the top and shadow length on the bottom, using x for the unknown, which is the height of the building:
[tex]\frac{pole/building}{shadow}:\frac{3.4}{1.61}=\frac{x}{36.75}[/tex] and cross multiply to solve:
1.61x = 124.95 so
x = 78 m
What's the relationship between y and x
Answer:
Step-by-step explanation:
The relationship between x and y is called a linear relationship because the points so plotted all lie on a single straight line. The number 95 in the equation y=95x+32 is the slope of the line, and measures its steepness.
Which of the following is the equation of the line with a slope 3 and y-intercept of 4?
A.3x+y+4=0
B.3x-y-4=0
C.3x-y+4=0
D.3x+y-4=0
Answer:
B.
Step-by-step explanation:
-y = -3x + 4
y = 3x - 4
slope 3 y-intercept 4
Please help thanks!
Answer:
10
Step-by-step explanation:
=13+ 3^3 ÷9 we can change it to:
=13+ 3^3/-9
3^3 can be changed to 27
13+ 27/9
=13+−3
=10
how to find Rational numbers on numberline
Answer:
expand the distance between the nearest two integers on your numberline. so, you can find many rational numbers such as fractions between them.
Answer: In representation of rational numbers on the number line are discussed here. We know how to represent integers on the number line.To represent the integers on the number line, we need to draw a line and take a point O on it. Call it 0 (zero).
Set of equal distances on the right as well as on the left of O. Such a distance is known as a unit length. Let A, B, C, D, etc. be the points of division on the right of 'O' and A',B', C', D', etc. be the points of division on the left of 'O'. If we take OA = 1 unit, then clearly, the point A, B, C, D, etc. represent the integers 1, 2, 3, 4, etc. respectively and the point A', B', C', D', etc. represent the integers -1, -2, -3, -4, etc. respectively.
You are taking a university course with a combined graduate and undergraduate enrollment. You know that there are many more undergraduate than graduate students enrolled in this course. There is a woman who looks to be about thirty sitting next to you. If you use only the base rate to guess her student status, you would guess that she is a(n) __________ student because __________.
Answer:
She is an undergraduate because more undergraduates are enrolled
Step-by-step explanation:
From the question, we understand that:
Undergraduate > Graduate
This represents the base rate
So, when taking a guess using the base rate, your guess will be that: the woman is an undergraduate.
The reason for this is that you know that there are more undergraduates than graduates enrolled in the course.
How do I do this trigonometry problem? or where do I even start.
Answer:
∅=6
Step-by-step explanation:
let ∅=x
[tex]\csc(3x+15)=\frac{1}{\sin(3x+15)}\\\sin(5x+3)*(\frac{1}{\sin(3x+15)})\\\frac{\sin(5x+3)}{\sin(3x+15)}=1\\\sin(5x+3)=\sin(3x+15)\\5x+3=3x+15\\2x=12\\x=6[/tex]
For the figure shown, find m<1.
Answer:
Step-by-step explanation:
Sum of angles of a triangle = 180
So, 56 + 58 + x = 180
114 + x = 180
x = 116
Now ∠ 1 + ∠x = 180 [ straight line angles]
∠ 1 + 66 = 180
∠1 = 180 - 66 = 114°
OR
You can use the rule : Exterior angle = sum of 2 interior opposite angles.
56 + 58 = ∠1
114 = ∠1