Answer:
[tex]y=-|x-1|+3[/tex]
Step-by-step explanation:
The graph of the function ([tex]y=|x|[/tex]) can be described as a perfect (v) shape composed of two lines with the equation ([tex]y=x[/tex]) and ([tex]y=-x[/tex]) with a range of ([tex]y\geq 0[/tex]). In the depicted graph, this function has undergone some transfomrations. The general format for a transformation of an absolute value function is the following;
[tex]y=(+-)n|x-k|+h[/tex]
The function can be inverted if the sign of (n) is (-). As per the given graph, the function is inverted, thus the answer will have a (-) sign in front of it. One can see that the (n) value has to be (1) or rather not present since the function has no scaling factor.
[tex]y=-|x|[/tex]
The function has been shifted (k) units to the right, one can see that the given function's vertex is (1) unit to the right, thus the equation of the function has a (1) in the position of (k).
[tex]y=-|x-1|[/tex]
The function is shifted (3) units up, thus the position of (h) is occupied by a (3).
[tex]y=-|x-1|+3[/tex]
Therefore the following answer choice is correct, as it fits all of the requirements;
[tex]y=-|x-1|+3[/tex]
Total health care costs in the United States in 2016 was $1.7 trillion. he US population was 290.9 million. What was the average amount spent per person on health care?
Answer:
$5,843.9
Step-by-step explanation:
2016
Total health care cost in US = $1.7 trillion
= $1,700,000,000,000
Population in US = 290.9 million.
= 290,900,000
Average amount spent per person on health care = Total health care cost in US / Population in US
= 1,700,000,000,000 / 290,900,000
= $5843.9326228944
Approximately,
$5,843.9
To the nearest whole number
= $5,844
Help me please
How many solutions does the equation
x -4 = 12 - 2x have? Explain.
- ? .
Answer: one solution.
Step-by-step explanation:
[tex]\dfrac{2}{3} x-4=12-2x\\\\\dfrac{2}{3} x+2x=12+4\\\\2\dfrac{2}{3} x=16\\\\\dfrac{8}{3} x=16\\\\8x=16 \cdot 3\\\\8x=48\\\\x=\dfrac{48}{8} =6[/tex]
This equation has one solution: x = 6.
Please solve with explanation
Answer:
56+8√2=8(7+√2)
Step-by-step explanation:
1. P= AB+BC+CD+DE+EF+FG+GA
2. AB=DC=12
BC=16
AG=ED=4
AG+ED+GE=16
4+4+GE=16
GE=16-8
GE=8
GF²= EF²+GE²
GF²=64+64
GF²=128
GF=8√2
3.P= 12+16+12+4+8+8√2+4= 56+8√2
Answer:
Area = 160 sq cm
Perimeter = 67.31 cm
Step-by-step explanation:
Area of the figure = Area of rectangle with dimensions 16 cm and 12 cm - Area of the right triangle with base and height ecah 8 cm.
=16*12 - 1/2 * 8 *8
= 192 - 32
= 160 sq cm
GEF is a right triangle.
Therefore, by Pythagoras theorem:
[tex] FG^2 = FE^2 + GE^2 [/tex]
[tex] \therefore FG^2 = 8^2 + 8^2 [/tex]
[tex] \therefore FG^2 = 64+64 [/tex]
[tex] \therefore FG^2 = 128 [/tex]
[tex] \therefore FG =\sqrt {128}[/tex]
[tex] \therefore FG =11.3137085[/tex]
[tex] \therefore FG = 11.31\: cm[/tex]
Perimeter of the figure
= 12 + 16 + 12+4+8+11.31+4
= 67.31 cm
Sienna is determining the solution 6b + 12 = 102 A:15 B:17 C:90 D:102
If you vertically compress the absolute value parent function, Fx) = \X, by
multiplying by, what is the equation of the new function?
Answer:
I don't know this answer snsjsnsjskanwnkanwnksnesjisjwjww
please answer this!!!!
Jacob wanted to know what the most popular sneaker brand was of his classmates. His class had 30 students. To save time, he asked 10 boys the brand of sneakers that they were wearing. Of the students surveyed; Nike was the most popular sneaker brand.
Explain 2 ways Jacob's survey could have been more representative of his class's favorite sneaker brand.
Answer:
He could have asked the girls as well, and could have asked the entire class instead of just 10 students.
Step-by-step explanation:
By only asking 10 boys, he is not getting a complete representation of the whole class, as their are 30 students in the class.
which phase best describes the translation from tge graph y=2(x-15)^2 to the graph of y=2(x-11)^2+3?
Answer:
Graph translates 4 units to the left then 3 units up.
Step-by-step explanation:
The constant in the bracket changes for - 15 to -11 . A change of + 4.
This shifts the whole graph horizontally 4 units to the left.
The + 3 moves the whole graph 3 units upwards.
Name the marked angle in 2 different ways.
1) angle LKM
2) angle MKL
6ײ+3×y-2a×-ay (need answers)
Answer:
(If the x means the variable in your equation) 2a^2y+6x^2+3xy
Step-by-step explanation:
We have to simplify the equation to find the answer
6x^2+3xy−2a(−a)y
=6x^2+3xy+2a^2y
Find the slope of the line.
N
ローワー
E
5
6
2
Y
a. Undefined
C.
b. 0
d. -1
Answer:
They have undefined slopes
Step-by-step explanation:
The line is a vertical line
Vertical lines are in the form x= constant
They have undefined slopes
4400 dollars is place in an account with annual interest rate of 8.25% How much will be in the account after 22years to the nearest cent
Answer: A = 4400(1 + 0.0825 x 22)
Step-by-step explanation:
A = accumulated amount
P = original amount unloaded- $4400
r = rate - 8.25% = 0.0825
t = years = 22
= 4400(1 + 0.0825 x 22)
Answer:
y = 25169.04
Step-by-step explanation:
PLEASE HELP Given the function [tex]f(x)=\sqrt{3x+3+2}[/tex]
Answer:
98.97
Step-by-step explanation:
I used my notes on page 34
Day
Average speed, s
(miles per hour)
7.2
Number of
calories burned,
616
6.8
584
Monday
Thursday
Friday
Saturday
7.9
672
8.5
720
On certain days of the week, Elaine runs for an
hour on a treadmill. For each day that she ran in
the last week, the table above shows the average
speed s at which she ran, in miles per hour, and
the number of calories c she burned during the
run. If the relationship between c and s can be
modeled by a linear function, which of the
following functions best models the
relationship?
A) c(s) = 30s + 400
B) c(s) = 60s + 210
C) c(s) = 80s + 40
D) c(s) = 90s - 30
Answer:
ran" (and any subsequent words) was ignored because we limit queries to 32 words.
Jaheem has a goal running a total of 125 miles this month. Each day that he ran, he ran 7 miles. Which expression could Jaheem use to determine how many miles he has left to run after running for d days?
x a.
125 – 7d
x b.
7d + 125
x c. fraction numerator 125 over denominator 7 d end fraction
x d.
7d
Answer:
a. 125 – 7d
Step-by-step explanation:
Let d be the number of days.
Given the following data;
Total distance (month) = 125 miles
Distance covered per day = 7 miles
To determine how many miles he has left to run after running for "d" days, this mathematical expression can be used;
Total distance - distance covered per day = number of miles remaining
[tex] 125 - 7d [/tex]
Determine whether the given equation has one solution, no solution, or infinitely many solutions. 2/3 x=9-2(-1/3x+3)
infinitely many solutions
no solution
cannot be determined
one solution
an object is kept at a distance of 15 cm from each of the above lens calculate the image distance and magnification o
f first image
Answer:
answer is
Step-by-step explanation:
Object distance (u) = -100cm Focal length (f) = 50cm Image distance = v By lens formula; 1v−1u=1f1v−1u=1f ⇒ 1v−1−100=1501v−1−100=150 ⇒1v=150−11001v=150−1100 ⇒1v=2−1100−11001v=2−1100−1100 v =100cm Hence the image is formed at 100 cm behind the lens. Object distance (u) = -100cm Focal length (f) = -25cm Image distance = v By lens formula;Read more on Sarthaks.com - https://www.sarthaks.com/951256/an-object-is-kept-at-a-distance-of-100-cm-from-each-of-the-above-lenses-calculate-the?show=951265#a951265
If y=2x+5, then determine the value of y if x=4.
Name the marked angle in 2 different ways.
1) angle LJK
2) angle KJL
The marked angle can be named as angle LJK and angle KJL.
What is angle?An angle is a corner whether constituting a projecting part or a partially enclosed space. It is a combination of two rays with a common endpoint.
How to name angles?The angle can be named in two ways depending on the rays that are making angle.In our question the marked angle can be named as LJK and opposite if this KJL because it does not change the value of angles. Whether we start writing from one point to second point and from second point to first point. Main point is that the point at which the angle is formed comes in between both the points of rays.
Hence the marked angle can be named as angle LJK and angle KJL.
Learn more about angles at https://brainly.com/question/25716982
#SPJ2
An empty container has a capacity of 60000 liters to 1 s.f. Tony pours in 5400 liters of water to 2 s.f. He says he filled more than 10 % of container is he correct ? Show working
Answer:
Tony poured is 9% of the total
Step-by-step explanation:
Given data
The capacity of the container= 60000 liters
Amount of water that tony pours= 5400 liters
Let us compute the percentage to know if it is up to 10%
= 5400/60000*100
=0.09*100
=9%
Hence the amount of water Tony poured is 9% of the total
Answer:
He is wrong
Step-by-step explanation:
60 000 LB=55000
60 000 UB=65000
5400 LB= 5350
5400 UB=5450
65000x0.10=6500
55000x0.10=5500
he is wrong
Point T is on
SU ST=20 and TU=8
what is SU?
Mr. Alen has a tank of volume 450 cm3. Convert the volume into “m3
Answer:
0.000450 m3
Step-by-step explanation:
What is the value of the expression?
8 1/2-2+4 3/4
A. write the ratio of girls to boys in the class with 12 girls and 15 boys. reduce to the lowest terms.
B. use the information from part A to estimate the number of girls in the school if there are a total of 1350 students in the whole school and in part A is representative of all classes in the school
WILL GIVE BRAINLIEST plz
Answer this PLZZZZZZ
Answer:
Hy^2 = H^2 + B^2
= 7^2 + 12^2
D.) = 193 square root
Arrange the following in ascending order. 1/2 1/4 3/4 1
Answer:
1/4
1/2
3/4
1
Step-by-step explanation:
1/2 = 0.5
1/4 = 0.25
3/4 = 0.75
1 = 1
Hey guys, I really need some notes on Trigonometric Identities. So can someone please assist me, please it's urgent. (´・_・`)
There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot. These are referred to as ratios since they can be expressed in terms of the sides of a right-angled triangle for a specific angle θ.
Please help I’ll give brainliest
Answer:
The answer is 9².
Step-by-step explanation:
9⁵ = 59049
9³ = 125
59049 ÷ 125 (9⁵ ÷ 9³) = 81
9² (9 × 9) = 81
. has endpoints B(5, 9) and C(–4, –3). Find the coordinates of the midpoint of . (0.5, 1.5) (1, 3) (0.5, 3) (1, 6)
Answer:
(0.5,3)
Step-by-step explanation:
Hi there!
We are given a line that has the endpoints of (5,9) and (-4,-3); we need to find the midpoint of the line.
The midpoint formula is given as ([tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2}}{2}[/tex]), where [tex]x_{1}[/tex], [tex]x_{2}[/tex], [tex]y_{1}[/tex], and [tex]y_{2}[/tex] are values of coordinate points
to avoid any confusion, we can label the values of the coordinates and then substitute them into the formula to find the midpoint
[tex]x_{1}[/tex]=5
[tex]y_{1}[/tex]=9
[tex]x_{2}[/tex]=-4
[tex]y_{2}[/tex]=-3
now substitute into the formula
so to find the value x in the midpoint, we'll use this part of the formula: [tex]\frac{x_{1}+x_{2} }{2}[/tex]
substitute 5 and -4 into the formula
[tex]\frac{5+-4}{2}[/tex]
do the addition on the numerator
[tex]\frac{1}{2}[/tex] or 0.5
now let's find the value of y in the midpoint. we'll use this part of the formula: [tex]\frac{y_{1}+y_{2}}{2}[/tex]
substitute 9 and -3 into the formula
[tex]\frac{9+-3}{2}[/tex]
do the addition on the numerator
[tex]\frac{6}{2}[/tex] or 3
Therefore the midpoint is (0.5,3)
Hope this helps! :)
I need your help!!!
In which triangle is the value of x to tan^-1(3.1/5.2)??
(Images may not be drawned on the scale)
The angle of x in the right angle triangle is 30.80 degrees
Right angle triangle:
Right angle triangle have one of it angles as 90 degrees. The angles can be found using trigonometric ratios.
Let's find the angle x using trigonometric ratios;
tan x = opposite / adjacent
Therefore,
tan x = 3.1 / 5.2
x = tan⁻¹0.59615384615
x = 30.7991697243
x ≈ 30.80°
Therefore, the angle of x is 30.80 degrees
learn more on right angle triangle here: https://brainly.com/question/3770177
1. Area =
Perimeter =
help me pls i wanna go home ;(
Answer:
Area of a triangle=1/2base x height
1/2x12x4
6x4
24units
Perimeter is the distance round the given figure
9+12+5
26units