x - 4y = -1
3x + 5y = 31
Answers
9514 1404 393
Answer:
(x, y) = (7, 2)
Step-by-step explanation:
We assume you want the solution to this system of equations.
Since you're seeking help from "technology", it is appropriate to use the technology of a graphing calculator to find the solution. The attachment shows it to be (x, y) = (7, 2).
__
The coefficient of x in the first equation is 1, so it is convenient to use that equation to write an expression for x:
x = 4y -1 . . . . . add 4y to the equation
3(4y -1) +5y = 31 . . . . substitute for x in the second equation.
17y = 34 . . . . . . . . . . . simplify, add 3
y = 2 . . . . . . . . divide by 17
x = 4(2) -1 = 7 . . . . use the equation above to find x
The solution is (x, y) = (7, 2).
Related Questions
Translate the point D(2, -4) 7 units to the left and 2 units down. What are the coordinates of the new point? Write your answer as an ordered pair (x, y). *
Answers
Answer:
(-5, -6)
Step-by-step explanation:
Solve this by doing x- and y- separately.
For the x-axis:
Let right be the positive direction, so x = 2 -7
x = -5
For the y-axis:
Let up be the positive direction, so x = -4 -2
x = -6
Hope that helps!
what is the slope of this line?
enter as a fraction in simplest form.
Answers
Answer:
1/4
Step-by-step explanation:
Points are (0, 6) and (-4,5).
[tex]\frac{6-5}{0-(-4)}=\frac{1}{4}[/tex]
The supplementary angle of 77° is
Answers
Answer:
103°
Step-by-step explanation:
A supplementary angle is when two angles add up to be 180°. So, we can subtract to find its suplement.
180 - 77 = 103
Best of Luck!
What is the real part of the difference?
What is the imaginary part of the difference?
Answers
Answer:
real part: 4
imaginary part: -10i
Step-by-step explanation:
Edge2020
Answer:
Real part is 4
Imaginary part is -10
Step-by-step explanation:
Those are the answers on edge
2 12 oz. bag of chips for $3.40
or
a 3 oz. bag for $0.75
Answers
Answer:
what is the question?
Step-by-step explanation:
you have to explain the question first
Find the sum and product of zeroes of the quadratic polynomial 2x2-7x+5 and verify the
results.
Answers
• 2x²-7x +5 =0
=> 2x²-5x-2x+5 = 0
=> x ( 2x-5)-1(2x-5)=0
=> (x-1)(2x-5) = 0
• x-1=0
=> x= 1
• 2x-5=0
=> x = 5/2.
Now , Verification :
Here , a= 2 ,b= -7 and c = 5
As we know that :
• Sum of zeroes = -b/a
• 5/2+1 = -(-7)/2
• 7/2 = 7/2
LHS = RHS.
• Product of zeroes = c/a
=> 1(5/2)= 5/2
=> 5/2 = 5/2.
LHS = RHS ..
Hence, verified .
I hope it will help you.
Regards.
(4.3×10^2)×(4.0×10^-3
Answers
Answer:
1.72
Step-by-step explanation:
While reviewing last months finances Oscar noticed that he had spent $200 on a wedding cake and deposited $500 and he just earned from selling books to a used bookstore down here again spent $127 to buy some new box which integer represents the change an Oscar savings
Answers
Answer:
an additional $173.
Step-by-step explanation:
The change in Oscar's savings is calculated by adding or subtracting all of the different transactions that have occurred. First, he spent $200 which would be a deduction and be subtracted from his initial balance. Next, he deposited $500 which is added to his balance, and lastly, he spent $127 which is subtracted from his balance. Like so...
-200 + 500 - 127 = $173
The final result is positive $173, this means that the change from his initial balance to his current savings balance is an additional $173.
i need help with the graph question please help if you can :)
Answers
Answer:
y = 3/2x - 2
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
Can somebody Help ? Me please .
Answers
Answer:
B
Step-by-step explanation:
The Associative Property means no matter where the parenthesis are placed, the numbers and the answer is still the same. For example: 5+(7+8) is the same as (5+7)+8 because it has the same answer and the result isn't changed from where the parenthesis are. :) Hope this helps!
~Happy Halloween!~
Answer: B
Step-by-step explanation:
According to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped, and B no matter how the numbers are grouped it'll give the same answer.
Write in simplest form -4+9/-6
Answers
Answer:
The answer is -58
A group of friends were working on a student film that had a budget of $700. They used $469 of their budget on props. What percentage of their total budget did they spend on props?
Answers
Answer:
its 67 percent ur welcome
Step-by-step explanation:
stephen had 24 miniature cars he gave 4 cars to his brother then he passed the rest of the cars out equally among 4 friends which operation would you use to represent the first part of this situation?
Answers
Answer:
5
Step-by-step explanation:
24- 4= 20/ 4 = 5
Answer:
5
Step-by-step explanation:
24 - 4 = 20
20 divided by 4 = 5
Hope this helps☺️
How is the integer 1,995 expressed as a rational number?
Answers
Answer:
thats a tricky one
Step-by-step explanation:
Ms. Lee went and got a haircut for $35.00, and the tax was 7%. She also left a 30% gratuity for the hairdresser.
3a. What was the total amount Ms. Lee spent for the haircut?
Answers
Answer:
$48.685 or $48.69
Step-by-step explanation:
Bill = 35 * 1.07 = 37.45
Tip: 37.45 * .30 = 11.235
Total: 37.45 + 11.235 = $48.685 or $48.69
Jack works after school. Each day he is paid a set amount, plus an hourly wage.
Hours 1 1.5 2 2.5 3
Pay 18 23 28 33 38
Which is a reasonable domain for the function f(x) = 10x + 8?
A. 0 < x < 6
B. 0 < x < 24
C. 0 < x < 68
D. 0 < x < 248
Answers
Answer:
The correct option is;
A. 0 < x < 6
Step-by-step explanation:
The given data indicates how much Jack is paid on hourly wage is presented here as follows;
Hours [tex]{}[/tex] Pay
1 [tex]{}[/tex] 18
1.5 [tex]{}[/tex] 23
2 [tex]{}[/tex] 28
2.5 [tex]{}[/tex] 33
3 [tex]{}[/tex] 38
Given that the domain is the number of hours worked by Jack after school, and that he receives a set amount at all values of the number of hours worked, a reasonable domain is from 0, at which the pay is 8, to 6 which is less than the normal 8 hours a day job, as he works part time.
Therefore, the correct option is;
A. 0 < x < 6.
What's the equation of a line that passes through (3, 4) and (0, -2)
Show work pleaseeee
Answers
3 - 0 = 3
-2 - 4 = -6
-6/3 = -1/2
Slope: -1/2
y - 4 = -1/2( x - 3 )
y - 4 = -1/2x + 1/2
y = -1/2x + 4 1/2
(3,4)= (x1, y1). (0,-2)=( x2, y2)
-2-4/0-3= -6/-3=2
The slope equals 2
Then you have to find if there’s a y intercept so you use y=Mx+b
Plug one point in, -2=2(0)+b
-2=0+b. B=-2
The equation is y=2x-2
Walking at a constant rate, Fred covers
10 miles in 4 hours. Predict how far he can hike in 10 hours.
Answers
Answer:
Fred will walk about 25 miles after 10 hours.
Step-by-step explanation:
First you have to find how much he walks in one hour, to do that you divide 10 by 4 to get 2.5
Then you multiply 2.5 by the 10 hours to get 25.
Hope that helps and have a great day!
Answer:
he can cover 25 miles
Step-by-step explanation:
10/4= 2.5 10x2=20 2.5x2=5 20+5=25
Write a terminating decimal and its equivalent fraction.
Answers
Answer:
0.125 = 1/8
Please mark me Brainliest; I need it to move onto the next level. =D
I need some help..........
Answers
Answer:
80 kilograms
Step-by-step explanation:
W=80+5.4t
The question is asking BEFORE therefore it is 80 because 5.4 is how much me gains a month.
Use the following functions to simplify the expressions. f(x)=3x−1 and g(x)=5−x f(−4)= For what value of x does g(x)=−4?
Answers
x=24
Lopum no deu sins se ca louiamoenqi
Write the equation in slope-intercept form of a line that passes through the point (-6, -12) and is perpendicular to y=-2x+5.y=−2x+5.
Answers
Answer:
Step-by-step explanation:
The standard form of equation of a line in slope-intercept form is expressed as:
y =mx+c
m is the slopw
c is intercept
Get the slope of the known line
since y = -2x+5
slope m = -2
Get the slope of unknown line
Since the unknown line is perpendicular to tis line, then
Mm = -1
M = -1/m
M = -1/-2
m = 1/2
Get the intercept of the unknown line:
Substitute the point (-6,12) and m = 1/2 into the equation y = mx+c
12 = 1/2(-6) + c
-12 = -3 + c
c = -12+3
c = -9
Get the equation of the unknown line:
Substitute m = 1/2 and c = -9 into the equation y = mx+c
y = 1/2x -9
2y = x - 18
2y-x = -18
Hence the equation in slope-intercept form of a line that passes through the point (-6, -12) and is perpendicular to y=-2x+5 is 2y-x = 18
Your family budgets $160 to spend on fuel for a trip. How
many times can they fill the car's gas tank if it cost $25
each time?
Answers
Answer:6.4 times
Step-by-step explanation: 160 divided by 25 is 6.4
Write the equation of the line passing through (-5, -11) and (-2, 1) in slope-intercept form
Answers
Answer:
y=4x + 9
Step-by-step explanation:
(-5, -11) (-2, 1)
y2 -y1 = 1 - -11 = 12
x2 -x1 = -2 - -5 = 3
12/ 3 Simplify = 4 your slope is 4/1
PLS HELP! I WILL REWARD AND GIVE BRAINLIEST!!
Answers
NEED ASAP
For a sewing project, Tanya cut isosceles triangles from a striped piece of material where the stripes are parallel. The vertex angle of the isosceles triangle is 50° and overline BC is parallel to the base.
What is the measure of BCE as shown in the diagram? Show your work and
explain your reasoning.
Answers
Answer:
∠BCE is 115°
Step-by-step explanation:
The given parameters are;
The shape Tanya cut from the striped piece = Isosceles triangles
The measure of the vertex angle of the isosceles triangle = 50°
The segment [tex]\overline {BC}[/tex] is parallel to the base [tex]\overline {FG}[/tex]
Therefore, we have;
∠GAF + ∠AGF + ∠AFG = 180°; Sum of the interior angles of a triangle
∴ ∠AGF + ∠AFG = 180° - ∠GAF = 180° - 50° = 130°
∠AGF = ∠AFG; Base angles of an isosceles triangle
∴ ∠AGF + ∠AFG = ∠AGF + ∠AGF = 2 × ∠AGF = 130°
∠AGF = 130°/2 = 65°
∠AGF = 65°
∠AGF ≅ ∠ACB, corresponding angles of two parallel lines, [tex]\overline {BC}[/tex] and [tex]\overline {FG}[/tex] cut by a transversal [tex]\overline {AG}[/tex]
∠AGF = ∠ACB = 65°, definition of congruency
∠ACB + ∠BCE = 180° Sum of angles on a (straight) line
∠BCE = 180° - ∠ACB = 180° - 65° = 115°
∠BCE = 115°
[tex]\sqrt8a-5-\sqrt6a+8=0[/tex]
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
You would start by writing it out again then simplifying.
[tex]\sqrt{8}a-5-\sqrt{6}a+8=0\\.378937a+3=0[/tex]
Now let's subtract 3 from both sides...
[tex].378937a=-3[/tex]
Now we'll divide the sides by .378937....
[tex]a=-7.916883[/tex]
So a equals -7.916883
i can get some help please
Answers
Answer:
120°
Step-by-step explanation:
3x-105+2x+10=180
collect like terms
5x-95=180
5x=275
x=55
angle 8 is equal to angle 6 because vertically opposite angles are equal
angle 6 =(2x+10) = 120
therefore angle 8 =120 degrees
2
what is the value of x? *
63
30
X
Enter your answer
Answers
Isabelle has a five-sided chicken coop in her yard. Each side has an equal length. What is the total perimeter of the chicken coop if the length of one side is yards? Recall that the perimeter is the sum of all sides of a shape or boundary.
Answers
Answer:
P = 175 yards
Step-by-step explanation:
Isabelle has a five-sided chicken coop in her yard. The length of each side is equal.
Let the length of one side is 35 yards.
We need to find the total perimeter of the chicken coop.
Perimeter = sum of all sides of a shape or boundary
P = 35+35+35+35+35
P = 5(35)
P = 175 yards
So, the perimeter of the chicken coop is 175 yards.
Answer:
It is 15 then weird symbol thing, then five or B
Step-by-step explanation: