The solution of the systems of equations is (1, -1,667).
What is a system of equations?A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought
Given that, a system of equations, we need to solve them graphically,
The equation are =
4x-3y = 9....(i)
x-3y = 6....(ii)
To solve by graphically, we will first plot the graph,
Finding the coordinates for same,
Equation (i)
4x-3y = 9
Put x = 0,
y = -3
a) (0, -3)
Put x = 3,
y = 1
b) (3, 1)
Equation (ii)
x-3y = 6
Put x = 0,
y = -2
c) (0, -2)
Put x = 3,
y = -1
d) (3, -1)
Therefore, we get the coordinates of the equations, now when we plot the graph, both the lines will intersect at a point and that point will be the solution of the systems of equations,
The lines are intersecting at (1, -1,667).
Hence, the solution of the systems of equations is (1, -1,667).
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A map of the Hill Park hiking trails uses the scale
12 inch = 34 mile
.
Which unit rate is equivalent to this scale?
Answer:
wish i could help
Step-by-step explanation:
1
1
2
2
s
4x-5y>-5
Please solve
Answer:
x-intercept(s):
(−54,0)
y-intercept(s): (0,−1)
Step-by-step explanation:
Label the endpoints to round 21.897 to the nearest hundredth
Answer:
21.9 is the answer rounded to the nearest hundred.
Simplify 2^-5
Please and thank you
Help please!!!!!! And explain ur answer.. I will mark as BRAINLIEST
Answer:
45000
Step-by-step explanation:
Jk it's wrong lol
HELP ASAP!! What is the average rate of change between x = -3 and x = 4 for the equation y = 8x2?
Answer:
[tex]x=-3\\y=8(-3)^2\\y=8(9)\\y=72[/tex]
[tex]x=4\\y=8(4)^2\\y=8(16)\\y=128[/tex]
128-72=56
average rate of change is 56
Step-by-step explanation:
Plz let me know if im right
Answer:
8 is the average rate of change
Step-by-step explanation:
Plugin -3 and 4 in for x.
y = 8(-3)^2
y = 72
y = 8(4)^2
y = 128
128-72/4-(-3) = the average rate of change
56/7=8
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(4x-3)°
(4x+10)°
(6x-9)°
Leticia has two bouquets of flowers.Each bouquet contains 13 daisies.
• Bouquet S contains 30 flowers
.• Bouquet T contains 13 flowers
Which statement is true?
A)The probability of randomly selecting a daisy from Bouquet S is less than the probability of randomly selecting a daisy from Bouquet T
B)The probability of randomly selecting a daisy from Bouquet S is 1
C) The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T
D)The probability of randomly selecting a daisy from Bouquet S is 3.
SHOW WORK!!!!
Answer:
Step-by-step explanation:
A
The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T
Option C is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T.
Both bouquets have the same type of flower (daisies) and Leticia has the same number of daisies in each bouquet (13).
Therefore,
The probability of randomly selecting a daisy from Bouquet S is the same as the probability of randomly selecting a daisy from Bouquet T.
Which is 1/13.
(since there are 13 daisies in each bouquet and we assume that each daisy is equally likely to be selected).
Thus,
The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T
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Solve |x| = -15
i need help
answer is 15
cuz its absolute value
Answer:
x=±15
Step-by-step explanation:
When we have absolute value equations, the first step is always to isolate the absolute value. This has already been done.
We know that a quantity in absolute value can be negative or positive, so in order to solve for it, we take the quantity inside the expression--in this case x--and set it equal to negative OR positive of the term on the right side. In this problem, this step would look like this:
[tex]x=-15[/tex] (the original right-side quantity)
and you would also need to solve for
[tex]x=15[/tex]
So [tex]x[/tex] can be ±15
m is directionly proptional to r squared
when r=2, m=14
A)work out the value of m when r is 12
b) work out the value or r when m is 224
9514 1404 393
Answer:
A) 504
B) 8
Step-by-step explanation:
The statement of proportionality can be written as the equation ...
m = kr²
Then we can find k from ...
k = m/r² = 14/2² = 7/2
That is, ...
m = (7/2)r²
__
Using this relation, we can find m for r=12:
m = (7/2)·12² = 7·72
m = 504 . . . for r = 12
__
And, we can use the same equation to solve for r when m=224.
224 = 7/2·r²
r² = 64
r = √64
r = 8 . . . for m = 224
Answer my math question I asked so many times I lost most of points by
Answer:
a=1
b=2
c=-8
y-intercept: (0, -8)
Line of symmetry calculation: x = -2/(2*1)
Line of symmetry: -1
Opens up because a > 0
Minimum
Vertex: (-1, -9)
Domain: -∞ < x < ∞ (no domain constraints)
Range: [-9, ∞]
Step-by-step explanation:
Which expression among the following is the solution of 2(4x+3)≤3(3x+4)?
x≤6
x≥6
x≤−6
x≥−6
Answer:
Solving [tex]8x+6\leq9x+12[/tex] we get [tex]\mathbf{x\geq -6}[/tex]
Option D is correct information.
Step-by-step explanation:
We need to solve [tex]2(4x+3)\leq 3(3x+4)[/tex]
Multiply the terms:
[tex]2(4x+3)\leq 3(3x+4)\\8x+6\leq9x+12[/tex]
Subtracting 6 from both sides
[tex]8x+6-6\leq9x+12-6\\8x\leq9x+6[/tex]
Subtracting 9x from both sides
[tex]8x-9x\leq 9x+6-9x\\-x\leq 6[/tex]
Divide both sides by -1 and reversing the inequality
[tex]x\geq -6[/tex]
So, solving [tex]8x+6\leq9x+12[/tex] we get [tex]\mathbf{x\geq -6}[/tex]
Option D is correct information.
answer two questions about equations A and B:
A. x/4+1=-3
B. x+4=-12
1) how can we get equation B from equation A?
choose 1 answer:
(Choice A) rewrite one side (or both) using the distributive property
(Choice B) rewrite one side (or both) by combining like terms
(Choice C) multiply/divide only one side by a non zero constant
(Choice D) multiply/divide both sides by the same non zero constant
2) based on the previous answer ,are the equations equivalent? in other words ,do they have the same solution?
choose 1 answer:
(Choice A) yes
(Choice B) no
Answer:it’s d and yes
Step-by-step explanation:
Describe and correct the error a student made finding the intercepts of the graph of the line 4x-6y=12
(PLEASE HELP)
Answer:the error is when 6y=12
Step-by-step explanation:
the original problem says 4x-6y=12
so when you get rid of the 4x, it should still be -6y not positive
The error is when 6y = 12 it will be -6y = 12 and the intercept would be -2.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
Given the equation is 4x-6y=12.
4x-6y=12
4 x 0 -66y = 12
-6y = 12
y =-2
4x-6y=12
4x - 6 x 0 = 12
4x = 12
x = 3
Therefore, the error is when 6y = 12 it will be -6y = 12, and the intercept would be -2.
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Ned and Sarah were running a relay race .the race was 22.01 kilometers total if Ned ran 9.41 kilometers
Answer:
dwdwdadwdawddasd
Step-by-step explanation:
Which expression is equivalent to -6(-2/3+2x)?
A. -4-12x
B. -4+12x
C. 4-12x
D. 4+12x
Algebra 2 question matrices. Please help!!
Solve the system of equations below using matrices.
Answer:
(1, 3, -2) is the answer
(15 POINTS!)
The slope of the line passing through the points (7, 5) and (21, 15) is
5/7
7/5
5
7
Another line with a slope that is one-third that of the slope you just calculated passes through the origin and the point
3, 5
3, 7
21, 5
21, 7
Answer:
1) 5/7
2) (21, 5)
Step-by-step explanation:
1) The slope of the line passing through the points (7, 5) and (21, 15) is
[tex]\frac{15-5}{21-7} =\frac{10}{14}=\frac{5}{7}[/tex]
because slope is (difference of y)/(difference of x)
the first option is correct
2) 1/3 of 5/7 is 5/21.
The line will be in the form of
y = 5/21 x + b where b is the y-intercept.
Find the complete equation by plugging in (0,0) since it passes thorugh the origin.
0 = 5/21 (0) +b
0=0+b
b=0
The equation: y=5/21 x
let's check each option by plugging in.
y= 5/21 (3)= 5/7
y is not 5 but 5/7
y= 5/21 (3)= 5/7
y is not 7 but 5/7
y= 5/21 (21) = 5
y is 5, which matches with the answer choice!!!
y= 5/21 (21) = 5
y is 5, not 7.
The third option is correct
25 pts! Will give brainliest, I need help with part b and c
Answer:
Only can print 20 page when it's half page
full page he only can print 10
Step-by-step explanation:
40x=800
800/40 = 20
75x=800
10 page only
Answer (part b):
20 half-page advertisements
Step-by-step explanation:
Michael has $800 and the company charges $40 per half-page advertisements. So you can just do 800/40 becuase you need to divide what is being charged ($40) by what Michael has ($800) and you’ll get 20. That’s okay because he said he can purchase 13 advertisements, but these are half-page advertisement. So it’s really just 10 full-page advertisements.
Answer (part c):
About 10 full-page advertisements
Step-by-step explanation:
Again, Michael has $800 and the company charges $75 per full-page advertisements. So you can just do 800/75 becuase you need to divide what is being charged ($75) by what Michael has ($800) and you’ll get 10.6, but the 6 is repeating. You will have to round down to 10 because if you round up, then he won’t have enough money to buy 11.
Hope this helps and answers your question :)
Hi, this question is in calculus. I am trying to write an equation in slope-intercept form about data usage that increase in 32.5 million every 4 years.
Answer:
we have an increase of 32.5 million every 4 years.
Then the increase per year is:
32.5 mill/4y = 8.125 million per year.
then if we define the variable x, as the number of years, we can write the linear equation as:
y = x*8.125 million/year + b
where b is the initial amount, that is not shown in the question, so i will just leave it like that.
You can see that when we have x = 4 years we have:
y(4 years) = (4 years)*(8.125 million/year) + b = 32.5 million + b.
Then after 4 years, we have an increase of 32.5 million, that is the thing we knew at the beginning.
Please help me!! Solve for x
Answer:
10.
Step-by-step explanation:
This is a parallelogram so the pair of internal angles add up to 180 degrees.
So 120 + 5x + 10 = 180
5x = 180 - 120 - 10 = 50
x = 50/5
x = 10.
The distance travelled by a car is 15km. If the car travelled at an average speed of 50km/h, how long did the trip take? Show working out.
Answer:
18 minutes
Step-by-step explanation:
Given distance (D) and average speed (S) then time (T) is calculated as
T = [tex]\frac{D}{S}[/tex] = [tex]\frac{15}{50}[/tex] = [tex]\frac{3}{10}[/tex] hour
[tex]\frac{3}{10}[/tex] hour = [tex]\frac{3}{10}[/tex] × 60 min = 3 × 6 = 18 mins
the sum of two consecutive even intergers is 106. what are the intergers?
Answer:
52 and 54
Step-by-step explanation:
These two numbers are consecutive, and 52+54=106.
=====================================================
Work Shown:
x = some even integer
x+2 = next even integer after x
x+(x+2) = 2x+2 = sum of the consecutive even integers
2x+2 = 106
2x = 106-2
2x = 104
x = 104/2
x = 52
x+2 = 52+2 = 54
The two consecutive even integers are 52 and 54
Check: 52+54 = 106
a fish is 12 m below the surface of the ocean what is the elevation of sea bird is 28 m above the surface of the ocean what is the elevation if the bird is directly above the fish how far apart are they
Answer:
40m???
Step-by-step explanation:
How can you find the sum of integers with the same sign? A add their absolute values and keep the sign of the integers B subtract their absolute values and keep the sign of the integer with the greater absolute value C subtract their absolute values and keep the sign of the integers with the smaller absolute value D add their absolute values and always add a negative sign to the sum
Answer:
Add their absolute values and keep the sign of the integers
Step-by-step explanation:
The problem can be understood with the help of an example.
Let the first number be 2 and other number be 3. If we want to add these numbers, it will be like :
Sum = 2 + 3 = 5
We can see that when we add these two numbers, we find that we add their absolute values while the sign of the integers are same.
So, if we want to find the sum of integers with the same sign, we have to add their absolute values and keep the sign of the integers.
Hence, the correct option is (a).
What is the value of 2|2-9|-3(4+2)?
A. -32
B. -26
C. -15
D. -5
E. -4
What is Fourteen minus four times y is equal to y increased by 4 in number form
Write the equation of the line that goes through the point (1,-7) and m=3.
Answer:
y = 3x - 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 , thus
y = 3x + c ← is the partial equation
To find c substitute (1, - 7) into the partial equation
- 7 = 3 + c ⇒ c = - 7 - 3 = - 10
y = 3x - 10 ← equation of line
Which relationship describes angles 1 and 2?
Answer:
we need a picture
Step-by-step explanation:
The solution is, First option and Third option. i.e. they are, "adjacent angles" & complementary angles",
What is an angle?
In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
You can observe in the figure that the angle 1 and the angle 2 have a common vertex and a common side.
These kind of angles are known as "adjacent angles".
You can observe that the intersection of the lines forms four equal anles which are right angles (Angles of 90 degrees).
Therefore, the angles 1 and 2 and also "complementary angles", because the sum of them is 90 degrees.
Then, the answers are the first option and the third option.
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Solve 5/7x=-25
The solution is x= ?