Answer:
Since y = −2x − 6 and 4x − y = −36, the solution would be B.) (-7, 8).
A solution to the given system of equations is [tex](\frac{100}{3}, \frac{8}{3} )[/tex]
Given the following system of equations:
[tex]y=-2x-64[/tex] ...equation 1.
[tex]x-y=-36[/tex] ...equation 2.
To find a solution to the given system of equations, we would use the substitution method:
First of all, we would make x the subject of formula in equation 2.
[tex]x=-36+y[/tex] ...equation 3.
Substituting eqn. 3 into eqn. 1, we have:
[tex]y = -2(-36+y)-64\\\\y=72-2y-64\\\\y+2y=72-64\\\\3y=8\\\\y=\frac{8}{3}[/tex]
For the value of x:
[tex]x=-36+y\\\\x=-36+\frac{8}{3} \\\\x=\frac{100}{3}[/tex]
Read more: https://brainly.com/question/14413983
The axis of symmetry of a parabola is the line x = 6. What is the x-coordinate of the vertex of the parabola?
Answer:
x-coordinate of the vertex: h = 6.
Step-by-step explanation:
The axis of symmetry is an imaginary line that divides the graph of a parabola into two congruent parts. The vertex of a parabola, (h, k) is the point where the graph intersects the axis of symmetry.
In the standard form of quadratic equation, y = ax² + bx + c:
[tex]\large \sf{axis\:of\:symmetry:\:x\:=\:\frac{-b}{2a}}[/tex]
In the vertex form of quadratic function, y = a(x - h)²+ k:
[tex]\large \sf{axis\:of\:symmetry:\:h\:=\:\frac{-b}{2a}}[/tex]
Hence, the axis of symmetry is the point where x = h.
Given these definitions, we can infer that the x-coordinate of the axis of symmetry is the same as the x-coordinate of the vertex, where h = 6.
Which of the following is a solution to the given equation? y = -3x - 7
Answer:y = 3(-2) - 7
Step-by-step explanation:
Which inequality is graphed below?
A- y<1/4x-1
B- y>1/4x-1
C- y<_ 1/4x-1
D- y>_ 1/4x-1
Step-by-step explanation:
It is represented by ,
=> y ≥ 1/4x -1
In a class of 25 students, 15 are female and 16 have an A in the
class. There are 12 students who are female and have an A in the
class. What is the probability that a student has an A given that
а
the student is female?
Work Shown:
m = number of girls who have an A = 12
n = number of girls in the class = 15
probability = m/n = 12/15 = (3*4)/(3*5) = 4/5
There are 10 circles and 2 triangles. What is the
simplest ratio of triangle to circle
Answer:
1:5
Step-by-step explanation:
put no. of triangles over no. circles because it asks triangles to circles
2/10
1/5........simplify
A patient is prescribed Coreg 12.5 mg by mouth twice a day. How many tablets should the patient
receive for one dose if the medication available is 6.25 mg/tablet?
Answer:
yes...
Step-by-step explanation:
k
Samuel wants to use his earnings from Monday and Tuesday to buy some batteries that cost 5.60 each how many batteries can samuel buy
Answer:
i cannot answer this because i do not know hw much money he has made.
Step-by-step explanation:
is 2k(2k-4) odd or even?
Answer: Even
Step-by-step explanation:
Because it shows that the is 2k
the even numbers 2k+2,2k+4,...,4k,4k+2
Julie withdrew $64 from her savings account. After the withdrawal she has $127. How much money did julie have before she made the withdrawal?
Answer:
191
Step-by-step explanation:
All you have to do is 127+64 to get the total before the withdrawal.
ху
02
(2 4
3 5
4 6
--)
2) Which function represents the relationship between x and y?
A) y = x + 2
By - 2x
ay-x+ 4
D) y = x-2
Answer:
2 Independent Random Variables The random variables X and Y are said to be independent if for any two sets of real numbers A and B, (2.4) P(X 2 A;Y 2 B) = P(X 2 A)P(Y 2 B): Loosely speaking, X and Y are independent if knowing the value of one of the random variables
Step-by-step explanation:
-0.15 as a mixed number
Answer:
A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number. It is partly a whole number. It is partly a fraction.
Rewrite the expression with
parentheses to equal the
given value.
3x 8-5 + 3
value: 12
If the principal is $3,200.00 and the rate of interest is 8%, what is the final account balance after 3 years
Answer:
i think it would round to 4031.08
Step-by-step explanation:
3200.00 * 1.08^3
=4032.0784
Musa had 3/ 5 ton of grain for all the animals on his large farm. He used 1 /20 ton each day to feed all his animals. How many days was it until Musa needed more grain?
Answer:
12 days
Step-by-step explanation:
'd' = number of days
1/20d ≤ 3/5
multiply each side by 20 to get:
d ≤ 60/5 or d ≤ 12
answer options are:
A) (3.5, 0.5)
B) (3.6, 1)
C) (4.3, 3)
D) (4.5, 3.5)
answers B and C have a small horizontal line above the x coordinate decimal place. i have no idea what that means.
Answer:
A) (3.5, 0.5)
Step-by-step explanation:
The small horizontal line represents that that digit is repeated to the right of the decimal point ad infinitum. Example would be the decimal equivalent of 1/9 = 0.11111111111... or 0.1 overbar
so 3.6 overbar would be 3.6666666... or 3⅔
and 4.3 overbar would be 4.3333333... or 4⅓
With AB being 3 times longer than BC, the total distance from A to C is 4 units and AB is 3/4 of that distance.
The x value changes -2 units from 5 to 3.
The x value of B is -2(3/4) = - 1.5 from 5 or 3.5
The y value changes -6 units from A to C
The y value of B is -6(3/4) = -4.5 from 5 or 0.5
B = (3.5, 0.5)
Month. Revenue. Expenses
1. $740 $3,010
2. $995 $2,850
3. $1,200 $2,700
4. $1,500 $2,490
5.
Graph the information presented in the table. Use that graph to predict the week that revenue will equal expenses for this small company.
Note: Revenue and Expenses are drawn on the vertical axis and Month is on the horizontal axis.
Week 8
Week 6
Week 5
Week 7
Yesterday, there were 96 problems assigned for math homework. Hanson got 72 out of 96 problems correct. What percentage did Hanson get correct?
Answer:
He got 75% correct
Step-by-step explanation:
72/96 = 3/4 = 0.75
0.75 × 100 = 75%
what is the best estimate of 97/7 and 1 3/4
Answer:
next question nexy question
evaluate the expression 5+3
some one answer me with a question not a link
Answer:
8
Step-by-step explanation:
Add 5 and 3
-Lexi
How many Solutions does 6 + x/5 = x/5 - 5 - 3x/10 have?
9514 1404 393
Answer:
1 solution (x = -36 2/3)
Step-by-step explanation:
6 + x/5 = x/5 - 5 - 3x/10 . . . . . . . given
60 +2x = 2x -50 -3x . . . . . . . . . multiply by 10
3x = -110 . . . . . . . . . . . . . . . . add x-60 to both sides
x = -110/3 = -36 2/3 . . . . . .divide by the coefficient of x
There is one solution to the equation.
_____
Additional comment
The coefficient of x on the left side of the equation is not equal to the coefficient of x on the right side. When that is the case, the equation will have one solution.
When the coefficients are equal, there will be no solutions if the constants are different, and there will be infinite solutions if the constants are the same.
Billie bikes 9 miles in 45 minutes. At this rate, how many miles can he bike in 90 minutes?
Answer:
18 miles
Step-by-step explanation:
9 miles : 45 minutes
? miles : 90 minutes
45 x 2 = 90 minutes
9 x 2 = 18 miles
40% of the students in mr. Watsons class speak a second language. If 10 students speak a second language how many students are in mr. Watsons class
Answer:
25 students are in mr. Watsons class.
Step-by-step explanation:
10/40=.25, so 25 students
what is the area of the triangle?
What is the slope of the line that passes through the points (6, -10) and (3, -13)?
Write your answer in simplest form.
[tex](x_1, y_1) = (6,-10),~~ (x_2, y_2) = (3,-13)\\\\\\\text{Slope,}~ m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-13 +10}{3 -6} =\dfrac{-3}{-3} =1[/tex]
What is the density of the oak board? Show your work.
What is the density of the oak board? Show your work.
Answer:
it is 5.5 inches wide, 1.5 inches thick and 3 feet long
Answer: Im not really sure if this is correct but it's what I put so I hope it is. If it's incorrect please let me know.
Step-by-step explanation:
We first need to find its mass and volume.
Mass: 8.05
Volume: Turn 3 feet into inches: 36
36in × 1.5in × 5.5in =297
Density : 8.05lb ÷ 297 cubic inches = 0.027 cubic inches
how many different 12 member teams can be chosen from a pool of 32 people
Answer:
Step-by-step explanation:
32 choose 12
[tex]\frac{32!}{(32-12)!*12!}[/tex]=225792840
Answer:
P(12,32) = 32!/20!12!
= 2257928402
Hope it helps you
HELP PLEASE!!
Use the drop-downs to complete the sentences about this arithmetic sequence.
32, 41, 50, ...
The common difference is ___.
The fourth term is ______
The fifth term is ______
Answer:9,59,68
Step-by-step explanation:
Just got it right
Keith’s Florists has 15 delivery trucks, used mainly to deliver flowers and flower arrangements
in the Greenville, South Carolina, area. Of these 15 trucks, 6 have brake problems. A sample
of 5 trucks is randomly selected.
a. What is the probability that 2 of those tested have defective brakes? (5 marks)
b. Is this a discrete or continuous distribution? Explain.
Answer:
= 0.419
Step-by-step explanation:
in pic
(Hope this helps can I please have brainlist (crown)☺️)
4m 10m - - The accompanying figure is a water tank whose radmis is 4m and height 10m. 4.1 Determine the total surface area of the tank. (3)
Answer:
45789932
Step-by-step explanation:
3456899954433222222344577890009
Due Tomorrow: Answer question 20 using steps
Answer:
angle CAB = 37
segment AC = 4.0
segment BC = 3.0
Step-by-step explanation:
angle CAB is complementary with angle ABC. 90-53=37. This is a right triangle, meaning we can use SohCohToa to find side lengths. AC = 5 * sin(53) = 4.0, and BC = 5 * cos(53) = 3.0.