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]
NEED HELP ASAP
The length of a rectangular parking lot at the airport is 2/3 mile.if the area is 1/2 square mile, what is the width of the parking lot?
Answer:
3/4 mile
Step-by-step explanation:
[tex]A = l *w\\\frac{1}{2} = \frac{2}{3} * w\\w = \frac{3}{2} * \frac{1}{2}\\w = 3/4 mile[/tex]
ForEASY BRAINLIEST!!!
Answer:
A.
B.
C.
Answer:
A. x-3
B. x-14
C. x-10
Step-by-step explanation:
Answer: THXS FOR MAKIN THIS SO FRIKIN EASY. I think I may done b or c wrong-
Step-by-step explanation:
a) x - 3
b) x - 14
c) x − 10
Please help me with these three questions...
I will be really thankful for help
Answer:
1. Terminating
2. 60
3. I don't know
Step-by-step explanation:
Help me out plz help me
Answer:
-15
Step-by-step explanation:
Step 1: Multiply 3 by both sides
3(2/3x)=3(-10)
Step 2: Simplify
2x=-30
Step 3: Divide both sides by 2
2x/2=-30/2
Step 4: Simplify
x=-15
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?
Help me to do this set question
Math help please show work I will mark Brainlist if correct
Answer:
Step-by-step explanation:
(3). 1 g ≈ 0.035274 oz
675 g ≈ 23.8 oz
(4). 1 cup ≈ 236.588 ml
[tex]\frac{1}{3}[/tex] cup ≈ 78.86 ml
(5). 1 L ≈ 0.22 gal.
150 L ≈ 33.0 gal.
(6). 1 cm ≈ 0.3937 inch
1 cm² ≈ 0.155 inch²
2.5 cm² ≈ 0.3875 inch²
Seema is travelling to California. She travels a distance of 7,800 km by plane to Lima and then another 6,700 km to Los Angeles. Both planes fly at an average speed of 900 kmh-1.
What is her total flight time in hours and minutes, to the nearest minute?
16 hours 6 minutes
See the image above
Which ratios are equal to cos(B)? Choose the TWO ratios that apply.
Answer:2 and 5
Step-by-step explanation:
The ratios that are equal to [tex]cos(B)[/tex] : [tex]\bold{\frac{BC}{AB}}[/tex] and [tex]\bold{\frac{EF}{DE}}[/tex]
What are similar triangles?"Two triangles are said to be similar
- if corresponding angles are equal and the sides
- if corresponding sides of the triangles are in proportion."
What is cosine angle?In a right triangle,
cos(Ф) = (adjacent side of angle Ф) ÷ hypotenuse
For given example,
Triangles ABC and DEF are similar triangles.
This means, ∠A = ∠D, ∠B = ∠E, ∠C = ∠F
And, [tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex] ..............(i)
For a right triangle ABC,
the cosine of angle B is,
[tex]cos(B)=\frac{BC}{AB}[/tex]
From (i),
[tex]\frac{BC}{AB}=\frac{EF}{DE}[/tex]
So, the cosine of angle B is,
[tex]cos(B)=\frac{EF}{DE}[/tex]
Therefore, the ratios that are equal to [tex]cos(B)[/tex] : [tex]\frac{BC}{AB}[/tex] and [tex]\frac{EF}{DE}[/tex]
Learn more about similar triangles here:
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hELPpppPpPP pLEAaSSEEseE
Question 9 Multiple Choice Worth 1 points)
(01.06 MC)
Solve the following equation for x: 2x + 5y = 8.
Answer:
x = 4 - 5/2 y
Step-by-step explanation:
2x + 5y = 8.
Subtract 5x from each side
2x + 5y -5y = 8-5y
2x = 8 -5y
Divide each side by 2
2x/2 = (8-5y)/2
x = 4 - 5/2 y
Answer:
x=[tex]\frac{-5y}{2}[/tex]+4
Step-by-step explanation:
Hi there!
We're given the equation 2x+5y=8 and we want to solve it for x
as we don't know the value of y, x won't actually be a number (it'll be an expression instead). However, we will solve this as if it was a regular equation by isolating x onto one side
here's the given equation
2x+5y=8
start by subtracting 5y from both sides
2x=-5y+8
divide both sides by 2
x=[tex]\frac{-5y}{2}[/tex]+4
Hope this helps!
Help its in the picture
Answer:
$190
Step-by-step explanation:
My knowledge!
Hope it helps!
Answer:
190
Step-by-step explanation:
Step 1 find total amount of money she has saved
To do this simply multiply the amount of money she saves per week ( 4.75 ) by the number of weeks ( 8 )
Hence money she has saved = 8 * 4.75 = 35
Step 2 subtract cost of camera by amount of money she has saved
228 - 38 = 190
So we can conclude that she needs 190 more dollars to purchase the camera.
Find the missing length of the triangle. 12 in 85 in.
Answer:
From Pythagoras Theorem
The square of the hypotenuse is equal to the sum of the squares of the other two sides
C² = 12² + 35²
C= √12²+35²
C= 37in
Answer:
side c = 37 in.
Step-by-step explanation:
side c is the hypotenuse as it is opposite of right angle (90 degree ).
12 and 35 are the two other smaller sides of the given right angles triangle.
using pythagoras theorem to find side c
a^2 + b^2 = c^2
12^2 + 35^2 = c^2
144 + 1225 = c^2
1369 = c^2
[tex]\sqrt{1369}[/tex] = c
37 = c
What is the value of x, if the volume of the cone is 12mm?
5 m
6 m
U
04 m
0 10 m
06 m
8
05 m
Answer:
V=1/3 pie r^2h (Formula)12×22/7=1/3×22/7×3^2×hEliminate 22/712=(9×h)/3Make "h" the subject of the equation h=36/9h=4mAnswer:
1. B 130 2/3ft^3
2. B 226 in^3
3. B 33 cm^3
4. A 4 m
5. D 15m
Step-by-step explanation:
I got a 100! For connexus students, hope this helps!!
Which of the following will result in a rational answer?
multiplying π by a fraction
adding the square root of a non perfect square to a whole number
adding the square root of a perfect square to π
multiplying a fraction by a repeating decimal.
Answer:
multiplying a fraction by a repeating decimal
Step-by-step explanation:
any fraction is rational
any repeating decimal is rational
therefore, product of the two would be rational
What is the value of x?
2
3
6
7
Answer:
x = 2
Step-by-step explanation:
AE is equal to the sum of AB and BE because of segment addition postulate, we can substitute to get AE = 11 + x + 1 = x + 12
DE is equal to the sum of DC and CE because of segment addition postulate, we can substitute to get DE = 1 + x + 4 = x + 5
To solve the problem, we can use power of a point, more specifically exterior secants products scenario. In this case, we can get the equation:
AE * BE = DE * CE
Now, we can substitute and solve:
(x + 12)(x + 1) = (x + 5)(x + 4)
x^2 + 13x + 12 = x^2 + 9x + 20
13x + 12 = 9x + 20
4x + 12 = 20
4x = 8
x = 2
probability please help i will give brainliest
There are (5 C 1) = 5! / (5 - 1)! = 5 ways of drawing a red marble, and (11 C 1) = 11! / (11 - 1)! = 11 ways of drawing any marble, so that the probability of drawing a red marble is 5/11.
After putting back the first marble, the probability of drawing another red is again 5/11.
So the probability of drawing 2 red marbles with replacement is (5/11)² = 25/121.
Question 2 Multiple Choice Worth 5 points)
(02.04 LC)
Determine the equation of the line shown in the graph
Answer choices
X= 5
y = 0
x = 0
y = 5
Answer:
A
Step-by-step explanation:
The line is parallel to y axis, so the equation is x = 5
f(x) = x2. What is g(x)?
5
[ f(x)
g(x)
(3,3)
X
-5
5
x2
O A. g(x)=1
-02-G
B.
X
O c. g(x) = 3²
O D. g(x)=-* x2
Please help :/
The function g(x) = x²/3
Given that graph of the function f(x) = x²,
Since, the graph of f(x) is transformed to form the g(x).
We see that g(x) is passing by (3, 3)
Here, the scale factor is 1/3,
So, we can say that the equation of the function g(x) is g(x) = x²/3
Therefore, the required function is g(x) = x²/3
Learn more about function click;
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Place the indicated product in the proper location on the grid.
(x + 2y)2
Answer:
32
Step-by-step explanation:
d6 plus four nine its wrong "+_)
Which equation represents a line that passes through the two points in The table
Answer:
y = mx + by= mx+ b
Step-by-step explanation:
since we know the two points on the line. we use the two points formed to find its equation. the final equation.the slope intercept form ,y=mx+by = mx+b
I NEED HELP ASAP PLESSEEE
What is the relation between the variables in the equation
Y/x^2= 10?
a. x varies directly with the square of y
b. y squared varies inversely with x
C. y varies directly with x squared
y varies inversely with x squared
d.
Answer:
I think C is the relation between the variables.
52 %of U.S. Adults have very little confidence in newspapers. You randomly select 10 U.S. Adults. Find the probability that the number of U.S. Adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four.
Answer:
a. P(x = 5) = 0.24
b. P(x ≥ 6) = 0.43
c. P(x < 4)= 0.14
Step-by-step explanation:
According to the Question,
Given, 52 %of U.S. Adults have very little confidence in newspapers & We have to randomly select 10 U.S. Adults.⇒We use Binomial Probability Formula
[tex]P(X = x ) = \frac{n!}{x!((n-x)! } * p^{x} * (1-p)^{n-x}[/tex]
Where, p=0.52 & n=10
a. The probability that the number of U.S. adults who have very little confidence in newspapers is exactly five . So, (x=5)
Thus, [tex]P(X = 5 ) = \frac{10!}{5!((10-5)! } * 0.52^{5} * (1-0.52)^{10-5}[/tex]
On Solving Above Equation we get,
P(5)=0.2441 ≈ 0.24
b. The probability that the number of U.S. adults who have very little confidence in newspapers is at least 6 . So, (x≥6)
Then,
P(x≥6) = P(6)+P(7)+P(8)+P(9)+P(10)
P(x≥6) = [tex]\frac{10!}{6!((10-6)! } * 0.52^{6} * (1-0.52)^{10-6}[/tex] + [tex]\frac{10!}{7!((10-7)! } * 0.52^{7} * (1-0.52)^{10-7}[/tex] +[tex]\frac{10!}{8!((10-8)! } * 0.52^{8} * (1-0.52)^{10-8}[/tex] + [tex]\frac{10!}{9!((10-9)! } * 0.52^{9} * (1-0.52)^{10-9}[/tex]+[tex]\frac{10!}{10!((10-10)! } * 0.52^{10} * (1-0.52)^{10-10}[/tex]
On solving above equation we get,
P(x≥6) = 0.4270 ≈ 0.43
c. The probability that the number of U.S. adults who have very little confidence in newspapers is less than 4 . So, (x<4)
Then,
P(x < 4)=P(3) + P(2)+P(1)+P(0)
P(x<4) = [tex]\frac{10!}{3!((10-3)! } * 0.52^{3} * (1-0.52)^{10-3}[/tex] + [tex]\frac{10!}{2!((10-2)! } * 0.52^{2} * (1-0.52)^{10-2}[/tex]+ [tex]\frac{10!}{1!((10-1)! } * 0.52^{1} * (1-0.52)^{10-1}[/tex] + [tex]\frac{10!}{0!((10-0)! } * 0.52^{0} * (1-0.52)^{10-0}[/tex]
On solving we get,
P(x < 4)= 0.1410 ≈ 0.14
The television show September Road has been successful for many years. That show recently had a share of 20, meaning that among the TV sets in use, 20% were tuned to September Road. Assume that an advertiser wants to verify that 20% share value by conducting its own survey, and a pilot survey begins with 11 households have TV sets in use at the time of a September Road broadcast. Find the probability that none of the households are tuned to September Road. P(none)
Answer:
[tex]P(none) = 0.0859[/tex]
Step-by-step explanation:
Given
[tex]p =20\%[/tex] --- proportion of household that tuned to September
[tex]n =11[/tex] --- selected households
Required
[tex]P(none)[/tex]
Using the complement rule, the proportion that did not tune (q) is:
[tex]q= 1 - p[/tex]
[tex]q= 1 - 20\%[/tex]
[tex]q= 1 - 0.20[/tex]
[tex]q= 0.80[/tex]
So, the probability that none of the 11 tuned in is:
[tex]P(none) = q^{11}[/tex]
[tex]P(none) = 0.80^{11}[/tex]
[tex]P(none) = 0.0859[/tex]
A system of two equations is shown.
y= 5x + 3
y = 3x - 1
A Graph the two lines.
B. What is the solution of the system?
Answer:
x=-2;y=-7
Step-by-step explanation:
y=5x+3
y=3x-1
3x-1=5x+3
-2x=4
x=-2 y=5x+3 y=5×(-2)+3 y=-7
CAN SOMEONE HELP ME WITH THIS, PLEASE AND THANK YOU.
1 1/3 × 4
= 4/3 × 4
= 16/3
= 5 1/3
Answer:
5 1/3
Step-by-step explanation:
1 1/3 * 4
Change 1 1/3 to an improper fraction
1 1/3 = (3*1+1)/3 = 4/3
4/3 *4 = 16/3
Change to a mixed number
3 goes into 16 5 times with 1 left over
5 1/3
If f(x) = x^2 + 1 find f (a+1)
Answer:
f(a + 1) = a² + 2a + 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationExpand by FOILStep-by-step explanation:
Step 1: Define
Identify
f(x) = x² + 1
Step 2: Evaluate
Substitute in x [Function f(x)]: f(a + 1) = (a + 1)² + 1Expand [FOIL]: f(a + 1) = a² + 2a + 1 + 1Combine like terms: f(a + 1) = a² + 2a + 2Answer:
[tex]{ \tt{f(x) = {x}^{2} + 1 }} \\ { \tt{f(a + 1) = {(a + 1)}^{2} + 1 }} \\ { \tt{f(a + 1) = ( {a}^{2} + 2a + 1) + 1 }} \\ { \tt{f(a + 1) = {a}^{2} + 2a + 2}}[/tex]
if the circumfrence of a circl is 18π inches, what is the radius of the circle
Answer:
r≈2.86
Step-by-step explanation:
Using the formula
C=2πr
Solving forr
r=C
2π=18
2·π≈2.86479
Jacob drove 450 miles at an average rate of 65 miles per hour. Rounded to the nearest tenth of an hour, how long did the trip take
Time = distance / speed
Time = 450 miles / 65 miles per hour
Time = 6.9 hours
100%
Ramón and Merissa are driving to New York City after college. The first 300 miles they spend $12.50 on gas.
At this rate, if they drive 960 miles, how much will the gas cost for the entire trip?
Answer:
the gas cost for the entire trip is $77
Step-by-step explanation:
Given that
For the first 300 miles, it spend $12.50 on gas
We need to find out the gas cost for the overall trip at the time when it drives 960 miles
So, it should be
= 960 miles ÷ $12.50
= $76.80
= $77
Hence, the gas cost for the entire trip is $77
−2(4y+1)=−8y−2??
Does it have one solution, no solution, or infinite?
Step-by-step explanation:
−2(4y+1)=−8y−2
4y+1=4y+1
infinite solutions
Answer:
Infinitely many solutions
Step-by-step explanation:
-2(4y+1)=−8y−2
=> -2(4y)-2(1)= -8y-2
=> -8y-2=-8y-2
=> Infinitely many solutions as x from both sides get cancelled