Match the system of linear equations with the corresponding graph. Use the graph to estimate the solution.
y = x+4
y = 3x - 1
pls show a graph, theres 4 to choose from.
Answers
Answer:
The required graph is shown below.
Step-by-step explanation:
Consider the given system of linear equations.
[tex]y=x+4[/tex]
Put x=0 in the above equation.
[tex]y=0+4[/tex]
[tex]y=4[/tex]
Now, put y=0 in [tex]y=x+4[/tex].
[tex]0=x+4[/tex]
[tex]x=-4[/tex]
The coordinates are (0,4) and (-4,0). Draw the line by using the points.
Similarly,
Consider the equation [tex]y = 3x - 1[/tex]
Put x=0 in the above equation.
[tex]y=3(0)-1[/tex]
[tex]y=-1[/tex]
Now, put y=0 in [tex]y = 3x - 1[/tex].
[tex]0=3x-1[/tex]
[tex]x=\frac{1}{3}[/tex]
The coordinates are (0,-1) and ([tex]\frac{1}{3}[/tex],0). Draw the line by using the points.
The required graph is shown below.
Related Questions
Find the missing number of each unit rate. 155 = ?1 246 = ?1
worth 15 points!!!
Answers
This is an incomplete question, the correct question is given below.
Find the missing number of each unit rate [tex]\frac{15}{5}=\frac{?}{1}[/tex] and [tex]\frac{24}{6}=\frac{?}{1}[/tex]
Answer : The missing number of each unit rate of [tex]\frac{15}{5}=\frac{?}{1}[/tex] and [tex]\frac{24}{6}=\frac{?}{1}[/tex] are, 3 and 4 respectively.
Step-by-step explanation :
As we know that a unit rate is a rate in which 1 is present in denominator.
Or we can say that,
A unit rate is also called a single unit rate that means it will compare 1 unit of some quantity to a different units of a different quantity.
As we are given that that unit rates:
[tex]\frac{15}{5}=\frac{?}{1}[/tex] and [tex]\frac{24}{6}=\frac{?}{1}[/tex]
Now we have to determine the missing number of each unit rates.
So, we can write the given expression as:
[tex]\frac{15}{5}=\frac{?}{1}[/tex]
When are dividing 15 by 5, we get:
[tex]\frac{15}{5}=\frac{3}{1}[/tex]
Thus, the missing number is, 3
And
[tex]\frac{24}{6}=\frac{?}{1}[/tex]
When are dividing 24 by 6, we get:
[tex]\frac{24}{6}=\frac{4}{1}[/tex]
Thus, the missing number is, 4
Find the 62nd term of the following sequence:
(-21, – 27, - 33, - 39,...)
Answers
Answer:
-387
Step-by-step explanation:
First term (T1) = -21 = a
second term (t2) = - 27
common difference (d) = t2 - t1 = - 27 + 21 = - 6
Now
Tn = a + ( n - 1) d
T62 = - 21 + ( 62 - 1 ) - 6
= - 21 -366
= -387
During the 2009/2010 school year, Detroit students missed an average of 9 weeks of school. Let's say that the school year is 39 weeks long. If this is true, what percentage of school time did the average student miss that year in Detroit
Answers
Answer:
The percentage of school time missed by the average student during 2009/2010 school year in Detroit is 23.08%.
Step-by-step explanation:
The percentage of school time missed by the average student during 2009/2010 school year in Detroit can be calculated as follows:
Percentage of school time missed = (Average number weeks of school missed / Total number of weeks in a school year) * 100 ................... (1)
Where;
Average number weeks of school missed = 9
Total number of weeks in a school year = 39
Substituting the values into equation (1), we have:
Percentage of school time missed = (9 / 39) * 100
Percentage of school time missed = 0.230769230769231 * 100
Percentage of school time missed = 23.0769230769231%
Rounding to 2 decimal places, we have:
Percentage of school time missed = 23.08%
Therefore, the percentage of school time missed by the average student during 2009/2010 school year in Detroit is 23.08%.
.
What is the equation in standard form of the line that passes through the point (4, −8) and has a slope of 1/4?
A) x − 4y = 36
B) x − 4y = −28
C) x − 4y = −36
D) x − 4y = 28
Answers
Answer:
Option A is correct.
Step-by-step explanation:
Given
The point (4, -8)Slope m = 1/4To determine
What is the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4.
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointsubstituting the values m = 1/4 and the point (4, -8)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-8\right)=\frac{1}{4}\left(x-4\right)[/tex]
[tex]y+8=\frac{1}{4}\left(x-4\right)[/tex]
Subtract 8 from both sides
[tex]y+8-8=\frac{1}{4}\left(x-4\right)-8[/tex]
[tex]y=\frac{1}{4}x-1-8[/tex]
[tex]y=\frac{1}{4}x-9[/tex]
Writing the equation in the standard form
As we know that the equation in the standard form is
Ax+By=C
where x and y are variables and A, B and C are constants
so
[tex]y=\frac{1}{4}x-9[/tex]
[tex]x=4y+36[/tex]
[tex]x - 4y = 36[/tex]
Therefore, the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4 will be:
[tex]x - 4y = 36[/tex]
Hence, option A is correct.
Combine like terms: 4f + 3e - 2f - e
Answers
that’s the answer
Answer:
2f + 2e
Step-by-step explanation:
4f -2f = 2f
3e - 1e = 2e
2f + 2e
can you guys help me
Answers
Answer:
The answer is 76.
Step-by-step explanation:
≅ means to be equal to.
☆Angle DGE ≅ EGF.
Therefore, 3x + 8 = 5x - 12
☆Let's solve that equation.
[tex]3x + 8 = 5x - 12 \\ \frac{ - 5x \: \: \: \: \: \: \: = - 5x \: \: \: \: \: \: \: \: }{ - 2x + 8 = - 12} \\ \frac{ \: \: \: \: \: \: \: \: - 8 = - 8}{ \frac{ - 2x}{ - 2} = \frac{ - 20}{ - 2} } \\ x = 10[/tex]
We found the value of x which is 10.
☆Let's Now plug in.
[tex]DGE \\ 3x + 8 \\ 3(10) + 8 \\ 30 + 8 \\ 38[/tex]
and the other:
[tex]EGF \\ 5x - 12 \\ 5(10) - 12 \\ 50 - 12 \\ 38[/tex]
☆They asked for what the angle of DGF measured. So we would have to add both sides
[tex]38 + 38 = 76[/tex]
☆The answer is 76
3 lines are shown. A line with points P, R, N intersects a line with points O, R, M at point R. A line extends from point R to point L in between angle M R P. Marcus states that angle ORP and angle LRP are a linear pair. Which best describes his statement?
Answers
Answer:
Marcus is wrong.
Step-by-step explanation:
As we see from the figure the angles ORP and PRM makes 180 degrees or are supplementary angles.
Marcus is wrong because a linear pair has a sum equal to 180 degrees.
But if we observe carefully the angles ORP and LRP don not together make an angle of 180 degrees. Also these angles do not have opposite rays .
Therefore angles PRM and ORP are linear pair angles but angle ORP and angle LRP are not a linear pair.
These angles do not have opposite arms as uncommon sides .
The linear pair must have
1) 180 degrees
2) opposite rays as uncommon sides
3) common vertex
Answer:
He is incorrect. Ray RO and ray RL are not opposite rays.
Step-by-step explanation:
Marcus is incorrect. In order for angles to be a linear pair, the rays of the angles that don't have a common side point, need to be opposite. This is not true for rays RO and RL, so Marcus's statement is not true.
Mark drives a distance of 124 miles in 3 hours. He drove 4512 miles during the first hour. He drove equal distances in each of the remaining 2 hours to complete his journey. What is the distance covered in the last hour?
Answers
Answer:
[tex]x = 39\frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]Total\ Distance = 124\ miles[/tex]
[tex]First\ hour = 45\frac{1}{2}[/tex]
Required
Determine the distance covered in the last hour
Since the distance in the last 2 hours are the same. Represent the distance in each of the remaining hours as x.
So:
[tex]First\ Hour + Second\ Hour + Third\ Hour = Total[/tex]
[tex]45\frac{1}{2} + x + x = 124[/tex]
[tex]45\frac{1}{2} + 2x = 124[/tex]
Collect Like Terms
[tex]2x = 124 - 45\frac{1}{2}[/tex]
[tex]2x = 124 - \frac{91}{2}[/tex]
Take LCK
[tex]2x = \frac{248-91}{2}[/tex]
[tex]2x = \frac{157}{2}[/tex]
Divide both sides by 2
[tex]x = \frac{157}{2} * \frac{1}{2}[/tex]
[tex]x = \frac{157}{4}[/tex]
[tex]x = 39\frac{1}{4}[/tex]
Hence, the distance in the third lap is: [tex]x = 39\frac{1}{4}[/tex]
What is the measure of AC?
Answers
Answer:
A. 136 degrees
Answer:
it was 88 for me
Step-by-step explanation:
2. What function types can be multiplied together to build a
new function of degree 5? How many total zeros will the
function have? How many can be imaginary?
Answers
Answer:
To get a function of degree 5, either functions of degree 1 and 4 or functions of degree 2 and 3 should be multiplied.
This function will have a total of 5 zeros, same as its degree.
The function of degree 5 will have at least one and up to five real zeros
The rest of the zero's are imaginary.
So if has 2 real zeros, then the remaining 3 will be imaginary.
Maximum number of imaginary zero's is 4.
OQ and RT are parallel lines.
Which angles are alternate exterior angles?
Options:
a) <OPN and <OPS
b) <OPN and <TSU
c) <OPN and <QPS
d) <OPN and <QPN
Answers
Answer: b) angle OPN and angle TSU
=========================================================
Explanation:
Each answer choice involves angle OPN, so the other angle must be based off this. The other angle is TSU because these two angles are on alternating sides of the transversal line UN.
Angle OPN and angle TSU are also exterior angles because they are on the outside region of the parallel lines OQ and RT.
So combine the two concepts and we can say that angles OPN and TSU are alternate exterior angles. The other alternate exterior angle pair is angle USR and angle NPQ.
Due to the parallel lines, the alternate exterior angles are congruent.
Please answer asap thank you
Answers
Answer:
12
Step-by-step explanation:
The interquartile range is the difference between the value at the right side of the box and the left side of the box, that is
interquartile range = 85 - 73 = 12
How do I solve this I've been on this question for 3 weeks!!
Answers
Answer:
c=3√5
Step-by-step explanation:
it appears the vertices of the inscribed quadrilateral,cuts the edges of the square at certain points that form right angles,with C being the hypotenuse.
c=√3²+6²
c=√9+36
c=√45=3√5
So what y’all know about this???
Answers
Answer:
1.052
Step-by-step explanation:
Add 1 to the percent increase.
1 + 5.2% = 1 + 5.2/100 = 1 + 0.052 = 1.052
Answer: 1.052
60 points (3 different questions) INEQUALITIES AND EQUALITY SOLVING
-6(1+7x)+7(1+6x)=-2 (I got no solution but I want to make sure that's correct)
-2(2-2x)-4(x+5)≤ -24 (I think I got the answer but I have no clue how to do this on a number line)
-2(5+6n)<6(8-2n) (I think I got the answer but no clue on the number line)
I will mark the best answer but there is a 24-hour time limit!
Answers
Answer:
1. No solution
2. All real numbers
3. Always true
Step-by-step explanation:
Answer: look at the picture and you will see the answer, for the numbers 3 -2(5+6n)<6(8-2n) it all real numbers are solutions.
Step-by-step explanation: hope this help
Find the distance, slope, and midpoint of the segment with endpoints A(5,4) and B(-1, 12)
Answers
Answer:
Step-by-step explanation:
The price of a washing machine is Rs 15,000. The sales tax charged on it is at the rate of 15 .
Find the amount that Arjun will have to pay if he buys it.
Answers
Answer:
$17250
Step-by-step explanation:
15/100=0.15
0.15x15000=2250
2250+15000=17250
will gibe brainlest and 5 stars and thanks
Answers
Answer:
2160 cm
Step-by-step explanation:
9x5x4x12=2160 :)
Answer:
42
Step-by-step explanation:
Divide the shape into a square and a triangle.
The area of the square would be 4×9 which is 36.
The area of the triangle will be 3*4/2=6
Add them to get 42
will give brainlest and 5 stars and thanks
Answers
Answer: 6m²
Step-by-step explanation:
Area of triangle: 1/2 × b × h
b = 3 h = 4
1/2 × 3 × 4 = 1/2 × 12 = 6
parallel lines l and m are intersected by transversal t as shown below which of the following angles are alternate interior angles
a. 1 and 5
b. 4 and 6
c. 2 and 7
d. 3 and 6
Answers
Answer:
c 2and7
Step-by-step explanation:
1 to 2 to 3 to 4 the789
20.) If w = 3, which inequality is true?
2w + 2 >9
O-3W-1 <-12
5 - 4w <-6
O -12-5w > -27
HELP PLSSSS
Answers
Answer:
W=-1
Step-by-step explanation:
i need help i suck at these
Answers
Answer:
i will help
Step-by-step explanation:
2 hours=21.50
3 hours= 32.25
4 hours= 43.00
Answer:
2 - 21.5
3 - 32.25
4 - 43
Step-by-step explanation:
10.75 × 2 = 21.5 ÷ 2 = 10.75
10.75 × 3 = 32.25 ÷ 3 = 10.75
10.75 × 4 = 43 ÷ 4 = 10.75
I NEED HELP PLZ I WILL GIVE THANKS AND BRAINLIST
Answers
Answer: Yes, it is in the blue shaded area
Step-by-step explanation:
A package of textbooks weighed 80 ounces, how many pounds did the textbooks weigh?
Answers
If m angle HJM=145 find m angle MHJ
Answers
Answer:
d. 35°Step-by-step explanation
∠MJH = 180 - 145
= 35°
Assuming the two angles form a straight line then the measure of the other angle is 35°
What are supplementary angles?Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50 is equal to 180°
Given here, m∠HJM = 145° then m∠MHJ = 180° - 145°
= 35°
Hence the measure of the angle is 35°
Learn more about supplementary angles here:
https://brainly.com/question/13045673
#SPJ2
Factor the expression using the GCF.
26x - 13
Answers
Answer:
13 ( 2 x − 1 )
Step-by-step explanation:
Factor 13 out of 26 x − 13
Answer:
13 ( 2x-1 ) hope this helps !!!!
Step-by-step explanation:
1 person can cut a large area of grass in 5 hours. How long would it take 2 people to cut the grass
Answers
Answer:
Well going with the answer mathematically, it would take 2.5 hours for 2 people to cut the grass.
Please give me the correct answer
Answers
Answer:
YES
Step-by-step explanation:
Area of the largest square = Sum of area of the smaller squares
13² = 12² + 5²
169 = 144 + 25
169 = 169
TRUE
This proves the Pythagoras theorem in a right angle triangle.
(Hypotenuse)² = (leg 1)² + (leg 2)²
Therefore, answer is YES.
I will want you to show your work and answer for this because I am a bit confused and want to make sure I write everything down correctly.
Answers
function represented by the table? What is the rate of change for the 1 2 -2 0 -1 -8 у 12 -3 2 7 A. 5 B. 1 C. i nin D. -5
Answers
Answer:A:0
Step-by-step explanation:hope this helps :)