Consider the system of inequalities and its graph.
y ≥
y ≤ x – 3
On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 8, negative 2) and (0, 0). Everything above the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (3, 0). Everything to the right of the line is shaded. The section in quadrant 1 is labeled 3, the section in quadrant 2 is labeled 2, the section in quadrant 3 is labeled 1, and the section in quadrant 4 is labeled 4.
In which section of the graph does the actual solution to the system lie?
1
2
3
4
Answer:
3
Step-by-step explanation:
Determine which equation is parallel to line JK and which is perpendicular to line JK. [5x - 3y = 8 [6x - 10y=7 15x + 3y = 13 (6x + 10y = 11 YA +10 -8 - 10 10 -6 -2 6 2 2 8 10 Parallel Line Perpendicular Line
Answer:
5x + 3y = 13 parallel.
6x - 10y = 7 perpendicular.
The equation which is parallel to the line JK is
a) Parallel is 5x + 3y = 13
b) Perpendicular is 6x - 10y = 7
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be J ( -5 , 5 )
Let the second point be K ( 1 , -5 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 5 - ( -5 ) ) / ( -5 - 1 )
m = 10 / -6
m = -5/3
The parallel lines have same slope and the perpendicular lines have the negative reciprocal of slope
So , the equation of line parallel to JK is 5x + 3y = 13
And , the equation of line perpendicular to line JK is 6x - 10y = 7
Hence , the equation of line is solved
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A family is on a road trip. The speed limit during the first 145 miles of the trip is 60 mph, and the speed
limit during the last 190 miles is 65 mph. How many miles per hour over the speed limits must they drive in
order to arrive at their destination in 5 hours?
Answer:
first 145 mile 7mph
next 190miles 2mph
Step-by-step explanation:
total distance to be covered = 145+190=335miles
time = distance/speed
first 145 miles
time = 145/60 =2.41hr
next 190 miles
time = 190/65 = 2.92hr
Total time = 2.41+2.92 = 5.33hr
but we need to cover the entire distance in 5hr
Speed = distance /time
= 335/5 = 67mph
That means in first 145 mile the speed over the speed limit will be 67-60= 7mph
similarly in the next 190miles speed over speed limit will be 65 - 67 = 2mph.
In ABC, angle A = 30 degree , angle b=45 degree find the angle c
Answer:
95 degrees
Step-by-step explanation:
in a triangle angles add up to 180 degrees.
a + b + c = 180
30 + 45 + c = 180
85 + c = 180
c= 180 - 85
c= 95 degrees
Holly's checking account has a dollar balance. Emily's checking account has a dollar balance. Which of the following is true about their account balances?
A.
Holly's account balance > Emily's account balance
B.
Holly's account balance < Emily's account balance
C.
Holly's account balance = Emily's account balance
Answer:
C
Step-by-step explanation:
Both Holly and Emily have the same account balance thus it is equal to
Answer:
Dont listen to the person its actually B
Step-by-step explanation:
On a number line, smaller numbers are to the left of larger numbers.
Negative values are always less than positive values.
So, the following is true.
Holly's account balance < Emily's account balance
One night a theater sold 540 movie tickets. An adult's ticket costs $8 and a child's ticket costs $5. In total, the theater earned $2880. How many adult tickets and child tickets were sold?
Answer:
are there any answer choices
Answer:
3433 tickets
ithink
Step-by-step explanation:
Two gears are both connected to the same belt. The smaller of the two gears has a radius of 4ft & the larger of the two gears has a radius of 7 ft. The larger gear is turning at a rate of 50 revolutions per minute. What is the angular velocity of the larger gear in radians/second? What is the angular velocity of the smaller gear in radians/second?
Answer:
[tex]\omega_1 = \frac{5Rad}{3s}[/tex] and [tex] \omega_2 = \frac{35Rad}{12s}[/tex]
Step-by-step explanation:
Given that the larger gear is turning at the rate 50rpm. The angular velocity, [tex]\omega_1[/tex], of the larger gear can be calculated as follows:
[tex]\omega_1 = \frac{50rev}{m} [/tex] to convert that to secs, we know that 1 rev = 2πRad and 60secs make a min, so we have:
[tex]\omega_1 = \frac{50rev}{m} \times \frac{2\pi Rad}{1rev} \times \frac{1m}{60s} [/tex]
That gives
[tex]\omega_1 = \frac{100Rad}{60s}[/tex]
Which gives:
[tex]\omega_1 = \frac{5Rad}{3s}[/tex]
This is the angular velocity of the larger gear in rads/sec.
In order to get the angular velocity of the smaller gear, we know from the question that both gear are connected to the same belt. This implies that they have the same linear velocity. Thus let us find the linear velocity of the larger gear. This is given by
[tex]v = r_1 \times \omega_1[/tex] where v stands for linear velocity and [tex]r_1[/tex] for radius of larger velocity.
We are given the radius of the larger gear as 7ft so we have
[tex]v = 7ft \times \frac{5Rad}{3s} = \frac{35ft}{3s}[/tex]
To get the angular velocity of the smaller gear, we use
[tex]v = r_2 \times \omega_2[/tex] where [tex]r_2[/tex] is the radius of the smaller gear which is given as 4.
Since linear velocity is the same, we have
[tex] \omega_2 = \frac{35ft}{4 \times 3s}[/tex]
[tex] \omega_2 = \frac{35Rad}{12s}[/tex]
what is 8.275 rounded to the nearest hundredth.
Answer:
8.3
Step-by-step explanation:
Answer:
8.28
Step-by-step explanation:
Find the number in the hundredth place 7 and look one place to the right for the rounding digit 5 . Round up if this number is greater than or equal to 5 and round down if it is less than 5 .
Pls rate brainiest
There are 50 cars on display at a car show. Of these,18 were manufactured before 1945. What percent of the cars were manufactured before 1945?
Answer:
36%
Step-by-step explanation:
The total number of cars is 50 and 18 were manufactured before 1945
Let's set up a fraction
18/50
A percent should be out of 100 so let's change the denominator to 100
18/50 (times 2 for 18 and 50 to get 50 to 100)= 36/100
36/100 is 36%
OR
divide 18 by 50 because the fraction line is like a division symbol
that equals 0.36, times 100 to get 36%
helpppppppppppp9oooooo
Answer:
55
Step-by-step explanation:
Given
m + (3n - 5)² ← substitute given values into the expression
= 6 + (3(4) - 5)²
= 6 + (12 - 5)²
= 6 + 7²
= 6 + 49
= 55
Given h(x)=3x+4h(x)=3x+4, solve for xx when h(x)=1h(x)=1.
Fine slope intercept form
y = x+7 (2, 3)
Help please and thanks
Answer:
y=x7 X 5
Step-by-step explanation:
Evaluate p2 - r2 for p = 10, r = -4 and t = 5.
Answer:
84
Step-by-step explanation:
p^2-r^2= 10^2-(-4)^2
100-16=84
I need to know what's 1131÷29 pronto
the answer is 39 because you need to divide.
Brainliest for correct answer! There are several ways to collect data. Which of the following is crucial for statisticians to call a method an experiment?
A. Eliminating bias
B. Randomness
C. Researcher assigns subjects to groups
D. Placebos
Answer:
I think the answer would be A
Answer:
A
Step-by-step explanation:
2,11,20 find the t15
Answer:
128
Step-by-step explanation:
There is a common difference between consecutive terms, that is
11 - 2 = 20 - 11 = 9
This indicates the sequence is arithmetic with n th term
[tex]t_{n}[/tex] = t₁ + (n - 1)d
where t₁ is the first term and d the common difference
Here t₁ = 2 and d = 9 , thus
t₁₅ = 2 + (14 × 9) = 2 + 126 = 128
8) Shawna had $20 to spend on six pencils. After buying them she had
$2. How much did each pencil cost?
Answer: They were $6 each
Step-by-step explanation:
20-2=18
18/3=$6
Answer:
$3
Step-by-step explanation:
Since we know that there was $2 that she didn't use, we can subtract that from $20 to get $18 that was used (20 - 2 = 18)
We then divide 18 by 6 because she bought six pencils (18/6 = 3)
Each pencil costs $3
Hope this helps!
Edit: I saw your comment how you need to do the equation so here it is
(20 - 2)/6 = 3 (I could be wrong, but using my explanation and the information you gave, this would be correct)
i need help asap plz
Answer:The y-intercept is roughly D=25
Step-by-step explanation: The y-intercept is where the line passes through the y-axis. On this graph the y-axis passes through the y-intercept at 25.
Determine if the triangles are congruent. If they are, state how you know.
Answer:
1 - SSS
Step-by-step explanation:
We need either two sides one angle, two angles one side, or three sides to prove congruency. In this case we have 3 sides so therefore this is congruent by the SSS theorem.
Answer:
SSS
Step-by-step explanation:
They are congruent, you can tell by the 'tick marks'.
Fast question please gelp
Answer:
D
Step-by-step explanation:
3x+6=9
3x=3
x=1
Which of the following is used to represent a known value for the
population variance?
A. s
Β. σ
C. σ²
D. s²
Answer:
c
Step-by-step explanation:
tell whether the given statement below illustrate quadratic inequality in one variable or not you may translate into mathematical symbols to justify your answers.
Answer:
Step-by-step explanation:
Let width of the parking space = x meters
Since, parking space is 6 meters longer than the width,
Length of the parking space = (x + 6) meters
Area of the parking space = Length × Width
= x(x + 6)
Area of the parking space is less than 40 square meters.
Therefore, inequality representing the area of the parking will be,
x(x + 6) < 40
x² + 6x < 40
x² + 6x - 40 < 0
x² + 10x - 4x - 40 < 0
x(x + 10) - 4(x + 10) < 0
(x - 4)(x + 10) < 0
-10 < x < 4
For -10 < x ≤ 0, width of the paring will be negative.
Therefore, possible values of x will be in the interval,
0 < x < 4
Or 0 < width < 4
Length of the parking space will be,
6 < Length < 10
Graph the linear function that passes through the point (1. -9) and has a slope of -3. (just give me points :)
What is the zero of the function?
What logarithm is equal to 4log3?
The logarithm which is equivalent to the logarithm 4log3 as given in the task content is; Log 81.
What is an equivalent logarithm?According to the task content; we are required to determine the logarithm which is equivalent to the given logarithm; 4log3.
It follows from the laws of logarithm that the logarithm which is equivalent to the given expression is; log(3)⁴ = log 81.
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i need help
-3x-(2x+6)
Answer:
−5−6
Step-by-step explanation:
Hope this helps c:
Answer:
-5x - 6
Step-by-step explanation:
-3x - ( 2x + 6 )
Distribute the (-) sign
-3x - ( 2x + 6 )
-3x - 2x - 6
Simplify
-3x - 2x - 6
-5x - 6
i don’t know how to find the equation for this problem
-4х + 9y = 9
x - Зу = -6
Answer:
x= 9 y = 5, your welcome
Answer: x = 9 y = 5
Step-by-step explanation: I like to use elimination for problems like these. Start by multiplying everything in the second equation (x - 3y = -6) by 4. Your equation should then look like this: 4x - 12y = -24
Now add the two equations as if they were two numbers:
-4x + 9y = 9
4x - 12y = -24
Your x's will cancel out and 9y + -12y = -3y and 9 + -24 = -15. This will make your new equation look like:
-3y = -15
Divide both sides by -3 and you get that y = 5
Substitute 5 in for y for any of the original given equations and solve:
-4x + 9y = 9
-4x + 9(5) = 9
-4x + 45 = 9
-4x = -36
x = 9
A chord PQ of length 13cm is drawn in a circle with center C and a radius of 10.2cm.
Find;
i) Angle PCQ
ii)The area of the sector PQRC
iii)The area of the minor segment
A system of linear equations includes the line that is created by the equation y = 0.5 x minus 1 and the line through the points (3, 1) and (–5, –7), shown below. What is the solution to the system of equations?
Answer:
The solution to the system of equations is x = 4 and y = 2.
Step-by-step explanation:
From statement we know that the first line is [tex]y = 0.5\cdot x[/tex]. The second line is determined by knowing two distinct points and solving the resulting system of equations by definition of the equation of the line:
[tex](x_{1},y_{1}) = (3,1)[/tex] and [tex](x_{2}, y_{2}) =(-5,-7)[/tex]
[tex]3\cdot m + b = 1[/tex] (1)
[tex]-5\cdot m + b = -7[/tex] (2)
The solution of the system of equations is:
[tex]m = 1[/tex], [tex]b = -2[/tex]
The second line is represented by [tex]y = x-2[/tex]. And the resulting system of equations is:
[tex]0.5\cdot x -y = 0[/tex] (3)
[tex]x-y = 2[/tex] (4)
The soltuion to the system of equations is:
[tex]x = 4[/tex], [tex]y = 2[/tex]
The solution to the system of equations is x = 4 and y = 2.
I really need help!!!
if f(x)=x^2+4x-5, find f(-4)
Answer:
−5
Step-by-step explanation:
By substituting the value of x in f(x) with -4,
(-4)^2+4(-4)-5
=16+(−16)−5
=0−5
=-5
Your welcome :D