Answer:
Question 1) Option C: 2(2x+1) = y, y = 2x + 8.
Question 4) Option C: y = x + 4, 2y = 2x + 8
Step-by-step explanation:
Definitions:Perpendicular LinesThe graph of perpendicular lines will show an intersection of two lines at a single point, forming 90° adjacent angles. Since perpendicular lines intersect at exactly one point, then it means that they will have one solution. Additionally, perpendicular lines have negative reciprocal slopes for which multiplying the slopes of both lines result in a product of -1.
Coinciding LinesLines that have the same slope and y-intercept. Therefore, they are equivalent equations that will result in an infinitely many solutions. The graph of these lines will coincide on top of each other, as if they are the same line. The systems of linear equations that result in an infinitely many solutions are dependent and consistent. They are dependent if they have an infinite number of solutions, and consistent because they have at least one solution.
Parallel linesParallel lines have the same slope. A systems of linear equations whose graph involve parallel lines have no solution, as there is no point of intersection between those two lines. Therefore, parallel lines have no solution, making it an inconsistent system.
Question 1:We must transform these equations in its slope-intercept form, y = mx + b, which will allow us to easily determine the type of lines a given system has based on their slopes.
Option A:Equation 1: 2x + y = 10
Equation 2: y = −2x + 8
Transform Equation 1 to slope-intercept form:
2x + y = 10
Subtract 2x from both sides:
2x - 2x + y = - 2x + 10
y = -2x + 10 ⇒ This is the slope-intercept form of Equation 1.
Since Equations 1 and 2 have the same slope, but different y-intercepts, then it means that they are parallel lines that have no point of intersection.
Option B:
Transform both equations to slope-intercept form:
Equation 1: 2x + 4y = 10
[tex]\large\bf\sf{y\:=\:-\frac{1}{2}x\:+\:\frac{5}{2}}[/tex] ⇒ This is the slope-intercept form of Equation 1.
Equation 2: 2(x+2y) = 10
Distribute 2 into the parenthesis:
2(x+2y) = 10
2x + 4y = 10 ⇒ It is clear at this point that this equation matches Equation 1. Thus, the slope-intercept form of Equation 2 will be the same:
[tex]\large\bf\sf{y\:=\:-\frac{1}{2}x\:+\:\frac{5}{2}}[/tex] ⇒ Slope-intercept form of Equation 2.
It turns out that Equations 1 and 2 are equivalent, as they have exactly the same slope and y-intercept. Therefore, they have coinciding lines and have infinitely many solutions.
Option C:Transform both equations to slope-intercept form:
Equation 1: 2(2x+1) = y
y = 4x + 2 ⇒ Slope-intercept form of Equation 1.
Equation 2: y = 2x + 8
Option D:Equation 1: y = 10 − 2x
y = − 2x + 10 ⇒ This is the slope-intercept form of Equation 1.
Equation 2: y = −2x + 7
Since Equations 1 and 2 have the same slope, but different y-intercept, then it means that they are parallel from each other.
Answer for Question 1:Out of all the given four options, Option C seems to be the correct answer, since the given system has varying slopes and y-intercept. Therefore, the correct answer for Question 1 is Option C: 2(2x+1) = y, y = 2x + 8.
Question 4:For Question 4, I will not elaborate as thoroughly as in Question 1 since I'll be using the same techniques.
Option A)Equation 1: 2x+ 7x + y = 6
Combine like terms:
2x+ 7x + y = 6
9x + y = 6
Subtract 9x from both sides:
9x - 9x + y = - 9x + 6
y = - 9x + 6 ⇒ Slope-intercept form of Equation 1.
Equation 2: y = 9x + 6
Option A Explanation:
Equations 1 and 2 have different slopes and the same y-intercept. This implies that they will have a point of intersection = one solution. However, they don't have perpendicular lines because their slopes are not negative reciprocal of each other. Hence, Option A is not a valid answer for question 4.
Option B)Equation 1: y = 5x + 7
Equation 2: y = 2x + 8
Option B explanation:
Similar to Option A, Equations 1 and 2 have different slopes and varying y-intercepts. Since they are not parallel from each other, and do not have coinciding lines, then Option B is not a valid answer for question 4.
Option C)Equation 1: y = x + 4
Equation 2: 2y = 2x + 8
Transform Equation 2 to Slope-intercept form:
Divide both sides by 2 to isolate y:
[tex]\displaytext\mathsf{\frac{2y}{2}\:=\:\frac{2x\:+\:8}{2}}[/tex]
y = x + 4 ⇒ This is the slope-intercept form of Equation 2.
Option C explanation:
Equations 1 and 2 are equivalent, as they have exactly the same slope and y-intercept. They also have coinciding lines, having infinitely many solutions.
Therefore, Option C is the correct answer for Question 4.Option D)
Equation 1: 7x − y = 10
y = 7x - 10 ⇒ This is the slope-intercept form of Equation 1.
Equation 2: y = 6x + 8
Option D explanation:
Similar to Option B, Equations 1 and 2 have different slopes and varying y-intercepts. Since they are not parallel from each other, and do not have coinciding lines, then Option D is not a valid answer for question 4.
Circle A has been enlarged to create circleA prime . The picture below shows the diameters of both circles.
Based on the information in the picture, what scale factor was used to create circle A prime ?
Answer:
Step-by-step explanation:
9514 1404 393
Answer:
5/2
Step-by-step explanation:
The ratio of the diameters is equal to the scale factor:
sf = (15 in)/(6 in) = 5/2
The scale factor used to create circle A' is 5/2.
Someone please help me
Answer:
yes as if two opposite sides of a four sided quadrilateral turns up to be symmetry or same then it is a rectangle not a square as a square has four lines of symmetry
Can someone please help me with this?
Hello,
Ali is right, Khamis is wrong. Why because Khamis forgot to put the negative sign in front of 5b, it should be wrote -5b in the second line and not 5b.
And then Khamis should have divided -5b by -5b.
Good Luck
Can you help me please?
Answer:
B
Step-by-step explanation:
The Pythagoras theorem states that [tex]c^{2} = a^{2} + b^{2[/tex], where [tex]c[/tex] is the hypotenuse and a and b are the adjacent and opposite sides of the hypotenuse. If we made [tex]a[/tex] the subject of the expression, the expression will be re-written as [tex]a^{2} = c^{2} - b^{2}[/tex], which is the correct answer.
How to find the theoretical mean and standard deviation using central limit therom.
Answer:
I can even see anything can you reupload your answer, please?
Step-by-step explanation:
if 4 watches cost 76.800. Find the cost of 9 watches pls answer my question
Answer:
1 watch cost 19,200 (76800/4=19200)
9 watches cost 172,800 (9×19200=172800)
Step-by-step explanation:
Answer:
$172.8
Step-by-step explanation:
divide 76.800 by 4 to figure out how much each watch cost. Than once you got that answer multiply by 9 to find out the cost of 9 watches
76.800÷4= 19.2
19.2×9= 172.8
Kyle Lowry earned $31.2 million in US dollars playing for the Toronto Raptors during the 2018–2019 season. How much was he earning in US dollars each hour of the year?
A $2050.20
B $1872
C $3562
D $1300
Answer:
I think C or D not sure about the question answer
He was earning 3562 each hour.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Kyle Lowry earned $31.2 million.
So, In each month he read
= 31200000 / 12
= $2,600,000
and, in each day she earn
= 2, 600, 000 / 30
=86,666.666
and, in each hour she earn
= 2, 600, 000 / 24
= 3611
Hence, He was earning 3562 each hour.
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mike drove 10 miles in 30 minutes, what's the average speed in miles per hour
Find the perimeter. Simplify the answer.
Answer:
34p-16
Step-by-step explanation:
Perimeter of parallelogram
= 2(9p-10)+2(8p+2)
= 18p-20+16p+4
= 34p-16
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answer:
slope= 1/4
Step-by-step explanation:
8-5 over 8-(-4)= 3/12=0.25 = 1/4
A quality analyst wants to construct a sample mean chart for controlling a packaging process. He knows from past experience that whenever this process is in control, package weight is normally distributed with a mean of 20 ounces and a standard deviation of two ounces. Each day last week, he randomly selected four packages and weighed each Day Weight (ounces) Monday 23 22 23 24 Tuesday 23 21 19 21 Wednesday 20 19 20 21 Thursday 18 19 20 19 Friday 18 20 22 20 If he uses upper and lower control limits of 22 and 18 ounces, what is his risk (alpha) of concluding this process is out of control when it is actually in control (Type I error)
Using the normal distribution and the central limit theorem, it is found that his risk is of 0.0456.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 20 ounces and standard deviation of 2 ounces, hence [tex]\mu = 20, \sigma = 2[/tex].Sample of 4 packages, hence [tex]n = 4, s = \frac{2}{\sqrt{4}} = 1[/tex]The risk is the probability of being more than 2 ounces from the mean, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Applying the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{2}{1}[/tex]
[tex]Z = 2[/tex]
The risk is P(|Z| > 2), which is 2 multiplied by the p-value of Z = -2.
Looking at the z-table, Z = -2 has a p-value of 0.0228.0.0228 x 2 = 0.0456
The risk is of 0.0456.
For more on the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
If the worker worked for 15.5 hours, how much money would they earn? Round to the nearest
hundredth.
$135.63 or Choice B
Step-by-step explanation:
If the worker works for 15.5 hours and earns $8.75 per hour, you would multiply 15.5 and 8.75, you get 135.625. Round it to the nearest hundredth gives you the answer of $135.62
Which situation can be represented by this inequality?
135 ≤ 10r + 15
Question 6 options:
A-Hugo has 10 songs in his music player. He will add 15 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at most 135 songs?
B-Hugo has 10 songs in his music player. He will add 15 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?
C-Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at most 135 songs?
D-Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?
The true option is: (d) Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?
The inequality is given as:
[tex]\mathbf{135 \le 10r + 15}[/tex]
Rewrite as:
[tex]\mathbf{10r + 15\ge 135 }[/tex]
From the options, we can see that the inequality represents songs in a music player.
Linear inequalities can be represented as:
[tex]\mathbf{mx + b \ge y}[/tex]
Where:
m represents the rate i.e. 10
b represents the y-intercept or base i.e. 15
>= represents at least
So, the inequality can be interpreted as:
10 songs are added every monthThe base number of songs is 15He wants to have at least 135 songsHence, the true option is (d)
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What is the common difference for this arithmetic sequence 45,40,35,30,25,
Answer:
-5
Step-by-step explanation:
Find:x , if |x |=6; |x |=3.2; |x |=0
* like x= ...
Answer:
|x|=6 we have x1=-6 x2=6
|x|=3.2 we have x1=-3.2 x2=3.2
|x|=0 x=0
The angle measures of a triangle are in the ratio 3: 4: 3. Find the angle
measures of the triangle.
Answer:
72
Step-by-step explanation:
3X+4X+3X=180
10X=180
X=180/10
X=18
3X=54 BOTH
4X=72
Question 1: Select the property shown
by the statement: 3a • 5b = 3.5 a.
b
A. Commutative
B. Associative
C. Reflexive
D. Symmetric
E. Transitive
Answer:
E BC itsay 3a 5b = 3.5 so it E
Wha ratio is equivalent to the ratio 6 : 12
Answer:
1:2
Step-by-step explanation:
1:2 would be a equivilant
also most simplified
Answer:
1 :2
Step-by-step explanation:
Merriam and Emmanuel assemble a new bookshelf. Its 1ft deep,4ft wide, and 8ft tall. They assemble it flat bit when they tip it up The shelf hits the ceiling. Why does it hit the ceiling
The maximum dimension of the shelf is given by the space diagonal
length of the shelf.
A possible reason why the shelf hits the ceiling is because the ceiling is
less than or equal to 9 feet from the ground.
Reasons:
The maximum height of the shelf is given as follows;
The diagonal of one of the side = √(8² + 4²)
The diagonal of the completed shelve = √((√(8² + 4²))² + 1²) = 9
The maximum extension of the shelve = 9 feet
Given that the shelf touches the ceiling, we have, that maximum height of
the ceiling = 9 feet.
Therefore, the shelf touches the ceiling because, height from the floor to
the ceiling is lesser than equal to 9 feet.
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Help me please!!!!!!!!!!!!!!!!!!
Answer:
d.
took the test
Step-by-step explanation:
1238 round to the nearest 1000
Answer:
1,238.000
Step-by-step explanation:
Geometry hw help please.
Answer:
6
Step-by-step explanation:
You can solve this using Pythagorean Theorem;
a² + b² = c²
c is always the hypotenuse or the longest length in the triangle which is always opposite to the forming 90° angle.
a and b values can be the other 2 legs, doesn’t matter which one is which
we are given;
a = 8
c = 10
a² + b² = c²
(8)² + b² = (10)²
64 + b² = 100
b² = 100 - 64
b² = 36
√b² = √36
b = 6
Therefore the answer = 6
Hope this helps!
PLEASE HELP What appears to be the range of the part of the exponential function graphed?
A- x ≤ 1
B- h(x) ≤ 1
C- x ≤ 5
D - h(x) ≤ 5
Answer:
A) Variable "x" is less than it equal to 1 because your domain can’t have [h(x)] because that’s your function and would be your range but in this case it’s your domain and your domain or else known as the variable "x" coordinate would have to be the number on the x axis that your line starts, your line begins on line 1 on the x axis which would be your domain
Hope this helps!
x pounds of candy valued at $3.50 per pound is mixed with y pounds of candy valued at $4.30 per pound to produce 10 pounds of a mixture selling for $4 per pound.
Find x and y, the number of pounds of each type.
PLEASE HELP!!!
What is the y-intercept for the cubic function: 4x^3-3x^2+7?
(0,7)
(7,0)
(0,4)
(0.3)
The y-intercept for the cubic function: 4x^3-3x^2+7 is (0, 7)
Given the polynomial function 4x^3-3x^2+7, the y-intercept of the function occurs where the value of x is zero
Substituting x = 0 into the polynomial function will give;
y = 4x^3-3x^2+7
y = 4(0)^3-3(0)^2+7
y = 0 - 0 + 7
y = 7
Hence the y-intercept for the cubic function: 4x^3-3x^2+7 is (0, 7)
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Please help! 20 points! Will give brainliest!
Answer:
2 and 4 are correct
Step-by-step explanation:
Hope this helps!❄︎
1.
Which of the following equations describes the graph?
A. y= -x^2 + 1
B. y= x^2 - 1
C. y= x^2 + 1
D. y= -x^2 - 1
Answer:
A. y= -x^2 + 1
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
1
)
Focus:
(
0
,
3
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
5
4
x
y
−
2
−
3
−
1
0
0
1
1
0
2
−
3
________________________________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
−
1
)
Focus:
(
0
,
−
3
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
5
4
x
y
−
2
3
−
1
0
0
−
1
1
0
2
3
__________________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
1
)
Focus:
(
0
,
5
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
3
4
x
y
−
2
5
−
1
2
0
1
1
2
2
5
_________________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
−
1
)
Focus:
(
0
,
−
5
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
3
4
x
y
−
2
−
5
−
1
−
2
0
−
1
1
−
2
2
−
5
Jack estimates that a piece of wood measures 4.5 cm. If it actually measures 4.72 cm, what is the percent error of Jack’s estimate? (Show all of your work)
Answer:
ion
Step-by-step explanation:srry
A tank full of water is leaking at a constant rate for 30 minutes. The equation
y = -8x + 400
gives the amount of water in the tank, where y is the number of liters and x is
the number of minutes since the tank began to leak. Which statement is true?
A. There were 400 liters in the tank after 30 minutes, and it is
decreasing by 8 liters per minute.
B. There were 8 liters in the tank when the leak started, and it is
decreasing by 400 liters per minute.
C. There were 8 liters in the tank when the leak started, and it is
increasing by 400 liters per minute.
D. There were 400 liters in the tank when the leak started, and it is
decreasing by 8 liters per minute.
Answer:
A
Step-by-step explanation:
did the quiz
Answer:
D
Step-by-step explanation:
Anyone for a brainly help me out
Answer:
y<x+1
Step-by-step explanation:
Plug your slope and a point into the formula y = mx + B, in which "m" is the slope, (x, y) is a point on the line and "b" is the y-intercept, to find the equation governing the inequality line. Plugging in (0, 0), you obtain 0 = 0 + b, so b = 0. Rewriting the equation, you obtain y<x+1
