Step-by-step explanation:
a)
clearly, A and B are mirrored images of each other around the x-axis.
and the equation of the x-axis is simply
y = 0
b)
this is trickier.
first of all, the mirror line is now vertical and not horizontal.
and where is it ? of course, in the middle between A and B.
how many units are there between A and B ?
I am counting 5. so, the middle between them is 2.5 units.
so, let's go e.g. from A 2.5 units to the right (in the direction of B).
where do we end up ? at x = 0.5
and that is also the equation of the vertical line there.
again
x = 0.5
Chance and Destiny went shopping at New Fashion Shop,
Everything in the store was at a 30% discount. Chanice
found a dress that was originally $65.00. What was the sale price?
What is the function graphed below?
3
Oy=x-1
Oy=1 X-1
Oy=1x+11
Oy=x+1
The function that is graphed below is y = |x + 1|.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The graph of the equation y = |x + 1| is a V-shaped curve that opens upwards and has a vertex at the point (-1, 0).
The absolute value function, represented by the vertical bars surrounding the expression (x + 1), means that the function will always output a positive value, regardless of the input.
When x is greater than or equal to -1, the expression inside the absolute value bars is non-negative, so the equation simplifies to y = x + 1.
This is a linear function with a slope of 1 and a y-intercept of 1, which means that the graph of y = |x + 1| for x ≥ -1 is a straight line that passes through the point (-1,0) and slopes upward to the right.
When x is less than -1, the expression inside the absolute value bars becomes negative, so the equation simplifies to y = -(x + 1) = -x - 1.
This is also a linear function, but with a slope of -1 and a y-intercept of -1, which means that the graph of y = |x + 1| for x < -1 is a straight line that passes through the point (-1,0) and slopes downward to the right.
The two linear segments meet at the vertex (-1,0), which is the minimum point of the graph.
The graph of y = |x + 1| is a continuous, piecewise linear function with a minimum value of zero at x = -1.
Thus,
The function that is graphed below is y = |x + 1|.
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i just need to know if this is correct and if i need to fix anything
Answer:
You are correct. Good job and merry Christmas, have a good day.
Answer:
Your answer is correct
Step-by-step explanation:
You don’t need to change anything because (-3, 12) is correct!
hope that helps! ❤️❤️❤️❤️
Set up a proportion and solve for x.
1) If I can make up one test in 30 minutes, how long will it take me to make 11 tests?
Can you please help this is due tomorrow and it’s almost Christmas break:((
30x11 is 330.
300mins
Sorry i'm a little tired, if you want ask me how i got it and show my work in the comments. Thanks u
What is the point-slope of a line that has a slope of 3 and passes through point (1, 4)
Answer:
A. y - 4 = 3 ( x - 1 )
Step-by-step explanation:
Given:
x1 = 1
y1 = 4
slope (m) = 3
Solution:
y - y1 = m ( x - x1 )
y - 4 = 3 ( x -1 )
y - 4 = 3x - 3
y = 3x - 3 + 4
y = 3x + 1
please help me asap
ty :)
Answer:
y = 5x+7
Step-by-step explanation:
Parallel lines have the same slope so y = 5x+9 is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 5
The new line will have a slope of 5
y = 5x+b
We know a point on the line (-2,-3)
Substitute this point into the equation
-3 = 5(-2)+b
-3 = -10+b
-3+10 = b
7 = b
y = 5x+7
[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
The line parallel to y = 5x + 9 is given in the form of y = mx + c. Here,
m = slope c = y-intercept (x = 0)The new line will have a y-intercept and a slope of line which is given by y = 5x + b. The point on line is (-2, -3).
Placing this point in the upper equation,
[tex]:\implies\rm{ - 3 = 5( - 2) + b}[/tex]
[tex]:\implies\rm{ - 3 = - 10 + b}[/tex]
[tex]:\implies\rm{ - 3 + 10 = b}[/tex]
[tex]:\implies\rm{7 = b}[/tex]
Placing b = 7 in equation we get,
[tex]:\implies\rm{y = 5x + b}[/tex]
[tex]:\implies\rm{y = 5x + 7}[/tex]
there are 47 students in the science club. all but 5 of them went on a field trip to the planetarium. what is the total cost if each student who went on the field trip paid $7?
Answer:
294
Step-by-step explanation:
40x7=280
2x7=14
280+14=294
Answer:
$294
Step-by-step explanation:
There is a total of 47 students in the science club.
5 did not go on the trip.
Number of students who went on the trip: 47 - 5 = 42
42 students wen on the trip.
Cost per person: $7
Total cost for 42 students: 42 × $7 = $294
Solve for w.
-3(-8w+1) -w=5(w-1)-1
Simplify your answer as much as possible.
W =
Answer:
W = - 6
Step-by-step explanation:
-3(-8w+1) - w = 5(w-1) - 1 -> (Original equation)
24w - 3 - w = 5w - 5 - 1 -> (Expanded version)
23w - 3 = 5w - 6 -> (Simplified version)
18w - 3 = - 6 -> (Subtract 5w from both sides)
18w = - 3 -> (Add 3 to both sides)
w = 18/-3 which is - 6 -> (Doing 18/-3)
Determine whether it is possible to form a triangle
with side lengths 5, 7, and 8.
O yes
no
Answer:
YES
Step-by-step explanation:
h(x) = 72 - 1
Over which interval does h have a negative average rate of change?
Choose 1 answer:
-3<<5
1<2<4
-3<<1
-1<<5
3 of
4.00
Check
Answer:
you're right, keep it up! you're very smart
HELP ASAPPPPPPPPPPPPPPPPP
Answer:
b. Kilograms
Step-by-step explanation:
2b-3(1+b)=-3(b+7) help
Hence, 'b = -9' is the answer.
Hoped this helped
[tex]BrainiacUser1357[/tex]
13-n + 2n > 8 + 1 Solve the given inequality and graph and solution
because we are finding for the variable and not the coefficient we divide it by the number attached to the variable which is the coefficient to get the result of the variable
The quadratic function g(x)=ax^2+bx+c has the complex roots (-5+9i) and (-5-9i).
What is the value of a?
What is the value of b?
What is the value of c?
Answer:
I don't know sorry
Hurry plz!!! graph y= 5/3x - 9
Answer:
This is what it would look like! Hope this helps!
Which of the following are valid names for the given triangle? Check all that
apply.
Answer:
A) AXT
C) TAX
F) XTA
=====================================
Explanation:
We name a triangle based on its corner points (aka vertex points). Those three points are A, T and X. The order doesn't matter so there are 6 ways to name this triangle and they are
ATXAXTTAXTXAXATXTAThe terms in bold are the final answers. Anything involving M or Y isn't part of the naming because we use the corner points only.
Graph △ABC with vertices A(4,1),B(−2,3), and C(−1,1) and its image after the glide reflection.
Translation: (x,y)→(x+2,y+1)
Reflection: in the x-axis
The reflection of the given △ABC is shown that be △A'B'C' with vertices A' (6, -2); B' (-4, -4), and C' (-3, -2).
What is reflection?
A reflection is a type of transformation that involves flipping a shape, known as the preimage, across a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you turned the form across the line to graph a reflection.So, the △A'B'C' is:
△ABC:
A (4,1)B (−2,3)C (−1,1)Now, Translation: (x,y)→(x+2,y+1) (
(x: axis is the line of reflection)
△A'B'C'
A' (6, -2)B' (-4, -4)C' (-3, -2)Therefore, the reflection of the given △ABC is shown that be △A'B'C' with vertices A' (6, -2); B' (-4, -4), and C' (-3, -2).
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multiply the expression (1/3 m-n)^2
Answer:
{(
Suppose in order for a bill to pass in Congress, 50% of voters must be in favor of it. In a random sample of 150 voters, 62 said that they were in favor of a new bill. State the p-value assuming the alternative hypothesis is Ha ≠.50 (Round to the nearest hundredth.)
Using the z-distribution, it is found that the p-value is of 0.03.
At the null hypothesis, it is tested if the proportion is of 0.5, that is:
[tex]H_0: p = 0.5[/tex]
At the alternative hypothesis, it is tested if the proportion is different of 0.5, that is:
[tex]H_a: p \neq 0.5[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: [tex]p = 0.5, n = 150, \overline{p} = \frac{62}{150} = 0.4133[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.4133 - 0.5}{\sqrt{\frac{0.5(0.5)}{150}}}[/tex]
[tex]z = -2.12[/tex]
The p-value is found using a z-distribution calculator, with z = -2.12 and a two-tailed test, as we are testing if the mean is different of a value, hence it is of 0.03.
To learn more about the use of the z-distribution for hypothesis tests, you can take a look at https://brainly.com/question/16313918
50+10+23×61×80 please help mee!!
Answer:
112300
Step-by-step explanation:
50+10+23*61*80
=60+23*61*80
=60+112240
=112300
The answer 112300, hope this helped :)
Answer:
I think the answer is 112,300.
What is 2^5+7/8?
I need help
Answer:263/8
Step-by-step explanation:
2^5=32
32= 256/8 | Convert to fraction form
256/8+7/8= 263/8 | Combine fractions
Answer:
Step-by-step explanation:
2^5=32
32= 256/8 | Convert to fraction form
256/8+7/8= 263/8 | Combine fractions
If I have a ramp of 8 feet in length and 4 feet in height what is the diagonal length and degree
Answer:
almost 9
Step-by-step explanation:
36in rounded to the nearest tenth for circumference
Answer: Remember that the tens place is two moves to the left of the decimal point (if it exists). To round to the nearest ten (nearest 10), we use the whole numbers place to determine whether the tens place rounds up or stays the same.
Solution steps:
Step 1: Locate and underline the tens place () and look to digit to the right (6):
36
Step 2: In this case, the digit to the right 6 is 5 or above. So, we add 1 to the tens place (). The digit(s) after the (6) are dropped. Thus, we get 40 as answer.
In short: 36 rounded to the nearest tens is 40.
Step-by-step explanation:
Angle A is in standard position and terminates in quadrant IV. If sec(A)=4 3 , complete the steps to find cot(A). Use the identity to find the value of (A).
If sec(A) = 4/3, then the value cot(A) is [tex]cot(A)=\frac{3\sqrt{7}}{7}[/tex]
The given trigonometric identity is:
[tex]sec(A)=\frac{4}{3}[/tex].........................(*)
Note that:
[tex]sec(A)=\frac{Hypotenuse}{Adjacent}[/tex].........................(**)
Comparing (*) and (**)
Hypotenuse = 4
Adjacent = 3
Find the opposite using the Pythagoras theorem
Hypotenuse² = Opposite² + Adjacent²
4² = Opposite² + 3²
Opposite² = 4² - 3²
Opposite² = 16 - 9
Opposite² = 7
Opposite = √7
cot(A) = Adjacent/Opposite
cot(A) = 3/√7
Rationalize the expression
[tex]cot(A)=\frac{3\sqrt{7}}{7}[/tex]
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Answer
1A=B 1B=tan 2=B 3=A
Step-by-step explanation:
The expression 3r - 6 can be written as _____. 3(r - 2) 3(r - 6) 3(3r - 6).
Answer:
The expression 3r - 6 can be written as 3(r - 2)
Step-by-step explanation:
We know that 3r-6=3(r-2) because 3*r is the same as 3r and we know that 3*-2 is -6 hence making them equal. And to check it we know that 3r-6 is equal to 3r-6.
Question 17 of 25
Solve |3x + 3| = 21.
A. C= –6 and x = 8
B. X = 6 and x = -8
C. X= -6 and x=-8
D. X= 6 and x = -
-6
Answer:
D. 1.25. 30 31 - 35. Convert the answer into a mixed number by dividing ... 8.7 6 5. 4.235. Subtract the two numbers. B. 4.235. 14) V81. 8) 0.2 * 0.3 * 0.4.
Step-by-step explanation:
Eva earns $5.50 per hour and time-and-a-half for overtime for all hours over 40 hours. How much did she earn the week she worked 47 hours?
Answer:
$277.75
5.50×40=220
5.50÷2=2.75
5.50+2.75=8.25×7=57.75
57.75+220=277.75
Greg has entered a cycle race of 125 km. he rides the first 85 km in 2.5 hours. he rides the rest of the way in 2 hours. How much faster did he ride during the first part of the journey compared to the second?
Answer:
He rides 14km/hr faster
Step-by-step explanation:
Speed = distance/ time
In the first part,
Speed= 85/2.5
= 34km/hr
In the second part,
Distance= 125-85
=40km
Speed= 40/2
=20km/hr
How much faster did Greg ride ?
34-20= 14km/hr
simplify 3q+3q+4q²
Explanation and working out please
Answer:
6q+4q²
Step-by-step explanation:
3q+3q+4q²
All you have to do is combine like terms(CLT)
3q+3q=6q
You can't combine 6q and 4q².
The end result is 6q+4q².
-hope it helps
Answer:
2q(2q+3)
Step-by-step explanation:
guys cqn you help me please
yan po answer
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Hope you could get an idea from here.
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