What is the x-coordinate of the point of intersection for the two lines below?
(2x + y = -9
(2x - 5y =-3
Answers
Answer:
From the graph, it is clear that the point of intersection is:
(x, y) = (-4, -1)And the x-coordinate of the point of intersection for the two lines is:
x = -4Step-by-step explanation:
As we know that the solution of the system of equations is the point of intersection. Let us solve it.Given the system of equations
[tex]\begin{bmatrix}2x+y=-9\\ 2x-5y=-3\end{bmatrix}[/tex]
solving the system of equations
subtracting 2x+y = -9 from 2x-5y = -3
[tex]2x-5y=-3[/tex]
[tex]-[/tex]
[tex]\underline{2x+y=-9}[/tex]
[tex]-6y=6[/tex]
so
[tex]\begin{bmatrix}2x+y=-9\\ -6y=6\end{bmatrix}[/tex]
solving for y
[tex]-6y=6[/tex]
Divide both sides by -6
[tex]\frac{-6y}{-6}=\frac{6}{-6}[/tex]
[tex]y=-1[/tex]
[tex]\mathrm{For\:}2x+y=-9\mathrm{\:plug\:in\:}y=-1[/tex]
[tex]2x-1=-9[/tex]
[tex]2x=-8[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{-8}{2}[/tex]
[tex]x=-4[/tex]
Thus, the x-coordinate of the point of intersection for the two lines below will be:
[tex]x=-4[/tex]
Also, the graph is attached.
From the graph, it is clear that the point of intersection is:
(x, y) = (-4, -1)And the x-coordinate of the point of intersection for the two lines is:
x = -4
Related Questions
4 and 5 PLEASEEEE!!!
Answers
Answer:
True
Bones seperated from a joint
Step-by-step explanation:
Answer:
5 is bones separated from the joint
Step-by-step explanation:
Noah bought a new car. It gets 21.7 miles per gallon
of gas on the highway. His gas tank is able to hold 14
gallons of gas. How many miles can Noah travel on the
highway on one tank of gas?
FIRST TO ANSWER GETS BRAINIEST
Answers
ANOTHER QUESTION PLS HELP! 7TH GRADE MATH
Answers
Answer:
Yes, of 1 1/2
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
8 x what equals 12
Divide 12 by 8 and that gives you 1.5
now try 6 x 1.5 = 9
Hope this Helps!!!
Todd and Agnes are making desserts. Todd buys peaches and a carton of vanilla yogurt. Agnes buys the same number of pieces of fruit. Is there a situation in which they pay the same amount for their purchases?
Answers
Answer:
8 fruits
Step-by-step explanation:
Todd and agnes are making desserts. todd buys
peaches and a carton of vanilla yogurt. agnes
buys apples and a jar of honey. they bought
the same number of pieces of fruit. is there a
situation in which they pay the same amount for
their purchases? explain.
apples
peaches=
$1.25 for peaches
$1.00 for apples
yogurt
honey=
$4 for yogurt
$6 for honey
Todd:
Peaches + yogurt
1.25x + 4
Agnes:
1.00x + 6
Where,
x = number of pieces of fruit
Equate the cost of Todd and Agnes
1.25x + 4 = 1.00x + 6
1.25x - 1.00x = 6 - 4
0.25x = 2
x = 2/0.25
= 8
x = 8 fruits
The situation in which they both pay the same amount for their purchases is when they buy 8 fruits each
Independent or Dependent?
Answers
Answer:
independent
Step-by-step explanation:
Write the following in slope-intercept form.
Answers
Answer:
[tex]\huge\boxed{y=4x-7}[/tex]
Step-by-step explanation:
Linear equations will always be in the form [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept
Since we know nothing about this equation, other than the fact that there are two points in it, we must find the slope and the y-intercept.
Luckily, we have two points to work with. We know that the slope between two points will be the change in y divided by the change in x ([tex]\frac{\Delta y}{\Delta x}[/tex]), so we can use the two points given to us to find both changes.
The y value goes from 1 to 17, which is a [tex]17-1=16[/tex] change.
The x value goes from 2 to 6, which is a [tex]6-2=4[/tex] change.
Now that we know both changes, we can divide the change in y by the change in x.
[tex]\frac{16}{4}=4[/tex]
Now that we know the slope (4), we can plug it into our equation ([tex]y=mx+b[/tex]).
[tex]y=4x+b[/tex]
Now all we need to do is find the y-intercept. Since we know the slope and one of the points the line passes through, we can find the y-intercept by substituting in the values of x and y. Let's use the point (2, 1).
[tex]1 = 4(2) + b[/tex][tex]1 = 8+b[/tex][tex]b = 1-8[/tex][tex]b = -7[/tex]Therefore our y-intercept is -7. Now that we know the slope and the y-intercept, we can plug it into our equation.
[tex]y=4x-7[/tex]
Hope this helped!
3. The number of years that Brad has been on the soccer team is 2 less than 5 times the number
of years that Scott has. In total, the boys have been on the soccer team for 10 years. How long
has Brad been on the soccer team?
Answers
Answer:
Answer: Brad has been in the team for 8 years. Trust i got it right on the test
Step-by-step explanation:
What does (6×9)+6+9 equal?
Answers
Answer:
69
Step-by-step explanation:
Multiply 6 by 9
54
Plug this value back into the equation
54 + 6 + 9
Add 54 to 6
60
Now add 9 to 60
69
Hope this helps :)
Please consider Brainliest :)
In addition to the grains listed above, the recipe also
includes 11 cups of dried fruit. Show how to find the
amount of dried fruit needed if you use 3 cups of oats.
Answers
11 x 1.5 = 16.5
you would need 16.5 cups of dried fruit
Suppose a is an angle in standard position whose terminal side lies in Quadrant III.
If tan a = 2/3 find the value of sin a.
Answers
Answer:
Step-by-step explanation:
This is a simplified solution.
This is an example of a(n)?
A) Contraction
B) Enlargement
Answers
Answer:
A) Contraction
Step-by-step explanation:
Answer:
The answer to this question is Contraction.
If 15% of 200 apples are bad, haw many apples are bad? (Please include explanation)
Answers
Answer:
30 bad apples.
Step-by-step explanation:
1% is equivalent to two bad apples because 200 is the 100%.
According to this statement, multiply 2 x 15.
30 bad apples
In the given equation, k is a constant. If the equation has no solution, what is the value of k?
Answers
Answer:
0
Step-by-step explanation:
The value of constant 'k' will be [tex]\frac{1}{3}[/tex].
Given equation in the question is,
[tex]\frac{1}{3}\times (x-k)=kx[/tex]
Further solve the expression for the solution of the equation.
[tex]\frac{3}{3}\times (x-k)=3kx[/tex]
[tex](x-k)=3kx[/tex]
[tex]x-3kx-k=3kx-3kx[/tex]
[tex]x-3kx-k=0[/tex]
[tex]x(1-3k)=k[/tex]
[tex]\frac{x(1-3k)}{(1-3k)}=\frac{3kx}{1-3k}[/tex]
[tex]x=\frac{3kx}{(1-3k)}[/tex]
Since, equation has no value, denominator will be zero.
[tex]1-3k=0[/tex]
[tex]1=3k[/tex]
[tex]k=\frac{1}{3}[/tex]
Therefore, Option (D) will be the correct option.
Learn more,
https://brainly.com/question/18595944
I NEED HELP PLS!! If there are 22 total circles, how many circles must be under each splat?
(Pls be specific too!)
Answers
Answer: 5 under each splat
Step-by-step explanation:
Count how many circles there are. Which is 7 subtract from 22 and u get 15. 15 divided by 3 is 5
A snow-cone machine priced at $139 is on sale for 20% off. What is the price of the snow-cone machine after the discount?
Answers
Answer:
The answer would be 127. 03
Step-by-step explanation:
30 points :) please answer this question for me pleaseee its for homework
please answer it and dont just put a random answer ):
Answers
Answer:
boottom left middle left and top right
Step-by-step explanation:
Please help I’ll give you guys brainiest!
Thank youuuuuuu :))
Answers
Answer:
what are you supposed to solve for?
Step-by-step explanation:
Answer:
Can anyone say what are we supposed to ans or solve
Find the slope of the line that passes through the point (4,8) and (3,-3)
WRITE YOUR ANSWER AS A DECIMAL AND ROUND TO THE NEAREST TENTH (1 decimal place)
Answers
Answer:
I don't think it's possible for this to be a decimal because the slope is positive 11.
Step-by-step explanation:
Use slope formula. x2-x1/y2-y1. Since we always go with the smaller x value we do 8-(-3) / 4-3/ We'll get 11 for 8-(-3) and we'll get 1 for 4-3/ so that leaves us with 11/1 which can't be simplified and has no decimal.
please please help i’ll give brainliest tysm :)
Answers
Explanation: $7.50 divided by 6
BRAINLIEST please
Answer:
It's the top answer or A.
Step-by-step explanation:
Because if you have 6 avocados for 7.50 just divide without including the decimal point. 750 divided by 6 is 125
include the decimal point in between 1 and 2
boom 1.25
Sammy Sales had the following receipts for his tree trimming business for the first six months of the year. What is the average of his sales for this period? (Use a thousands comma where applicable.) Jan. Feb. Mar. Apr. May Jun. $1,205 $1,450 $1,530 $1,655 $1,610 $1,710 $
Answers
[tex]average = \frac{sum \: \: of \: \:all \: \: obeservations}{no. \: \: of \: observaions} [/tex]
[tex] = \frac{1205 + 1450 + 1530 + 1655 + 1610 + 1710}{6} [/tex]
[tex] = \frac{9160}{6} [/tex]
[tex] = 1526.66[/tex]
___________________________________________
1526.66 is the average of his sales for this period.
Help Mee!!! What’s the answer
Answers
Answer:
A.
Step-by-step explanation:
Which statements are TRUE? Select all that apply. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour. If 6 pens cost $7.74, then 7 pens cost $9.03. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.
Answers
Answer: See explanation
Step-by-step explanation:
a. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.
Speed = Distance / Time
= 112 / 1 45/60
= 112 / 1 3/4
= 112 × 4/7
= 64 miles per hour.
TRUE
b . If 6 pens cost $7.74, then 7 pens cost $9.03.
Cost of one pen = $7.74/6 = $1.29
Cost of 7 pens = $1.29 × 7 = $9.03
TRUE
c. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.
Speed = Distance / Time
Speed = 256.5 / 57 = 4.5 = 4 hours 30 minutes
FALSE
d. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.
Cost of one can = $38.59 / 17 = $2.27
Cost of 3 cans = $2.27 × 3 = $6.81
TRUE
e. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.
A dozen = 12
2 dozens = 12 × 2 = 24
Cost of one egg = $8.40 / 24 = 0.35 = 35 cents
FALSE
help a brudda out its easy work bruddas
Answers
Answer:
Line 1 is y=-x-2
Line 2 is y=[tex]-\frac{1}{5}x+2[/tex]
Slope of Line 1 is -1 Slope of Line 2 is -[tex]\frac{1}{5}[/tex]
Y-intercept of Line 1 is -2 and Y-Intercept of Line 2 is 2
Following statements true: 1, 2, 4
Step-by-step explanation:
A rectangular garden is 4 feet wide and 9 feet long. The dimensions of the pool are 150% larger than the dimensions of the garden.
What are the dimensions of the pool?
600 feet wide and 1350 feet long.
6 feet wide and 13.5 feet long
5.5 feet wide and 10.5 feet long
8 feet wide and 18 feet long
Answers
================================================
Work Shown:
150% = 1.5 after moving the decimal 2 spots to the left
Multiply this with each of the dimensions given
4*1.5 = 6
9*1.5 = 13.5
The pool is 6 feet by 13.5 feet
PLSSSSS HELP ANSWER. I NEED THE EXACT ANSWER. What is the slope line of 0,-6 and 2,8.
Answers
Answer:
slope = differemce in "y" / difference in "x"
slope = (8 --6) / (2 -0)
slope = 7
Step-by-step explanation:
Help needed ASAP will give brainliest and 5 STARS VOTE RATE
Answers
Answer:
Nebula
Step-by-step explanation:
What is the median of this data set?
9, 7, 9, 7, 3, 5, 9.
A. 3
B. 4
C. 7
D. 9
Answers
Reason: the median is going to be the number in the middle of all the numbers.
Take two pencils and put one on the last number and the other on the first number. Each time the pencils take a step towards each other. The number at which they meet is the median.
Hope this helps
Find the zeros of y = x - 8x – 3 by completing the square. O A. x = 4 + /19 O B. X= -4/19 -4 O C. * = 31.77 D. X = +3
Answers
Answer:
I got -3/7
Step-by-step explanation:
Find the length of Ac. Round your answer to the nearest tenth
Answers
Answer:
x ≈ 4.3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tan∅ = opposite over adjacentStep-by-step explanation:
Step 1: Identify Variables
Angle = 35°
Opposite Leg = 3
Adjacent Leg = x
Step 2: Solve for x
Substitute [tangent]: tan35° = 3/xMultiply x: xtan35° = 3Isolate x: x = 3/tan35°Evaluate: x = 4.28444Round: x ≈ 4.3A soup that serves 8 people calls for 1 cans of chopped clams. 2 cups of chicken broth, 3 cups of milk, and 2 cups of cubed potatoes. Using the ratio provided in this problem and in the table, complete the rest of the table for each amount of people.
Answers
Answer:
We’ll, I need the table to answer that.
Step-by-step explanation: