Answer: infinitely many solutions
Step-by-step explanation:
First we want to arrange the linear equations such that its in the form
y = ax + b
For the first equation we subtract x from both sides to get:
y= -x + 1
For the second equation we divide by 3 to get:
y = -x + 1
These two equations are the same line so there are infinitely many solutions
The given system of equations have infinitely many solutions.
What is solution of a system of equations?A solution of a system of equations is a list of numbers i.e. the value of variables that make all the of the equations true simultaneously.
What is slope intercept form of a line?
The slope intercept form of the line is y = mx + b, where m is the slope and b is y intercept.
When the two lines coincide to each other?If there is no intercept difference between them ( intercept of two lines or system of equations) , then the line coincide to each other.
What is system of linear equations?A system of linear equations is a set of equations which are satisfied by the same set of variables.
What is the solution to the system of linear equation?The solution to a system of linear equation is the point at which the lines representing the linear equation intersect.
A system of linear equations has no solution when the lines are parallel to each other.A system of linear equations has infinitely many solution, when the lines coincide to each other.A system of linear equations has one solutions when the line intersect at a point.According to the given question
We have , a system of equations
[tex]x + y = 1[/tex]
⇒[tex]y = -x+1..(i)[/tex]
and
[tex]3y = -3x + 3[/tex]
⇒[tex]y = -x + 1..(ii)[/tex]
From equation (i) and (ii) we can see that there is no any intercept difference for the given system of equation. They have same slope and same intercept.
Therefore, the given system of linear equations coincide to each other, so they have infinitely many solutions.
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What is the sum of the first ten terms of the sequence 4, -12, 36, -144 ...?
Answer:
−19810916
Step-by-step explanation:
plz vote my answer the brainiest, i rlly need it thanks!
hope this helps!
The sequence given is a geometric sequence with a common ratio of -3. The sum of the first ten terms of the sequence is calculated using the formula for the sum of a geometric series to be -236196.
Explanation:The sequence given, 4, -12, 36, -144, ..., is actually a geometric sequence. In a geometric sequence, each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. In this sequence, the common ratio is -3.
To find the sum of the first n terms in a geometric sequence, we use the formula: S_n = a(1 - r^n) / (1 - r), where S_n is the sum of the first n terms, a is the first term in the sequence, r is the common ratio, and n is the number of terms.
If we insert our values into formula, we get: S_10 = 4*(1 - (-3)^10) / (1 - (-3)), which results in S_10 = -236196.
So, the sum of the first ten terms of the sequence is -236196.
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By looking at linear equations we can tell how they will interact in the coordinate plane. Which of the following are possible if two linear equations are graphed? Select all that apply.
They could be parallel to each other.
They could intersect at two points.
They could be perpendicular to each other.
They could be skew lines.
They could be the same line.
Answer:
1,3,5
Step-by-step explanation:
Answer:
1,3,5
Step-by-step explanation:
How you do this question?
Answer:
r = 95
Step-by-step explanation:
log (r - 5) - 7 = -5 becomes log (r - 5) = 2. You had that right.
Now raise the base 10 to the power 'log (r - 5)' and equate that to the base 10 to the power 2:
log (r - 5) 2
10 = 10
Then r - 5 = 100, and r = 100 - 5 = 95. r = 95
F(x)=9x3+2x2-5x+4amd g(x) =5x3-7+4
f(×)=9×3+2×2 -5×+4
g(×)=5×3-7+4
f(×)-g(×)
(9×3+2×2-5×+4)-(5×+4)-(5×3-7×+4)
9×3+2×2-5×+4-5×3+7-4
(9×3-5×3)+2×2+(7×-5×)+(4-4)
4×3+2×2+2×
=2×*(2×2+×+1)
Answer:
-4.5
Step-by-step explanation:
Identify which property off addition could be used to solve the following problem. Solve the problem and justify how using the property makes the problem easier to solve.
7.6 + 3.9 + 2.4
Answer:
The commutative property
Step-by-step explanation:
7.6+3.9+2.4=
7.6+3.9= 11.5+ 2.4= 13.9.
If you added 2.4 and 3.9 first
3.9+2.4= 6.3+7.6=13.9.
It doesn't matter what order you add in, you'll get the same answer
Harry Julie’s best friend also paid $25.00 for three T-shirt’s at the sale at JCPenny the sale price saved harry 30% of the original price of the three T-shirts what is the original price of Harry’s three T-shirt’s ?
Answer:
$15
Step-by-step explanation:
30% of $25
Find 10% = 2.5
2.5 x 2 = 5
5 x 3 = $15
Help!!!! Plzzzzz!!!!
Answer: The average drop is $8.80 per day.
Step-by-step explanation: Over the course of 8 days the stock fell by $72, and then $4 and $12 on the following two days. In order to determine the average over 10 days you need to add up the total drop for the time period and then divide by 10.
The formula to use:
(72 + 4 + 12) / 10=
88 / 10=
8.8=
$8.80
if a cylindrical glass with a radius of 3 , height of 8 centimeters . of the glass is 60% fool of soda how many cubic centimeters of soda are in the glass?
How do you find the center of dilation and scale factor in geometry?
Answer:
See below
Step-by-step explanation:
Centre of dilation
Dilation gives you a new shape that is either larger or smaller than the original.
In either case, every ray that passes through corresponding points of the two shapes will converge at the centre of dilation (Point O in the diagram).
Scale factor
To get the scale factor, you measure the ratio of lengths of corresponding sides in the shapes.
For example, a line in the red figure below may be four times as long as the corresponding line in the other.
If the dilation converts the blue shape into the red one, the scale factor is 4:1.
If the dilation converts the red shape into the blue one, the scale factor is 1:4.
Final answer:
To find the center of dilation and scale factor in geometry, identify the fixed point and multiply the actual size by the scale factor. Using Calvin's map, with a scale factor of 1/800, the 80-meter distance between houses translates to 10 centimeters on the map.
Explanation:
To find the center of dilation in geometry, you need to identify a fixed point in the plane around which all other points are either expanded or contracted. The scale factor determines how much larger or smaller the image will be compared to the original figure. A scale factor greater than 1 indicates an enlargement, while a scale factor between 0 and 1 indicates a reduction.
Let's use Calvin's map problem as an example. Calvin has a scale factor of 1/800 for his map, and the actual distance between his house and his best friend Frank's house is 80 meters. To find the scale dimensions, we use the following steps:
Convert the actual distance to a compatible unit with the map's scale. Here, we convert meters to centimeters since the map is likely in centimeters (80 meters = 8000 centimeters).
Multiply the actual distance by the scale factor: 8000 cm * (1/800) = 10 cm.
The distance between the two houses on the scale drawing should be 10 centimeters.
What is the length of SU? Please show work!
Check the picture below.
There are 25 lettuce plants. If you split them equally among 5 rows, how many lettuce plants are in each row? and it wants me to pick three anwers
Answer:
If there are 25 lettuce plants, and five rows you split the 25 among the five rows giving you 5 lettuce plants per row.
Step-by-step explanation:
25 / 5 = 5
Jackie purchased 4 cupcakes for $4.50 each. There was a 10% sales tax on her total order. How much did she pay for her order?
whats the measure of ABC? a.120 b.75 c.60 d.45
Answer:
the answer is 60 degrees
Angelo cuts a triangle from a sheet of paper as shown. What is the measure of angle x in the triangle
Answer:
The measure of angle x is [tex]15\°[/tex]
Step-by-step explanation:
we know that
In the figure
[tex]75\°+x\°=90\°[/tex] -----> by complementary angles
so
Solve for x
[tex]x=90\°-75\°=15\°[/tex]
Please help will give points!!!!
Answer:
Between 1 and 6
find the original price of a pair of shoes that was discounted 20% and now sell for $54
Original price = x
The original price of a pair of shoes was discounted 20%.
20% = 20/100 = 0.2
1 - 0.2 = 0.8
x * 0.8
Now they sell for $54.
x * 0.8 = 54
Solve to find x.
54 / 0.8 = x
x = 67.5
Convert that to currency.
$67.50What is the slope of the line l described by the equation below? y=-2x+4
Answer:
The slope of the line would be -2.
Step-by-step explanation:
Because the equation is a line, the slope is the same throughout the entire graph on the equation.
Lets let f(x)=y=-2x+4.
f(0) = -2(0) + 4 = 4
f(0)=4
f(1) = -2(1) + 4 = 2
f(1)=2
Use the equation to find slope.
m(slope) = [tex]\frac{2-4}{1-0}[/tex] = [tex]\frac{-2}{1}[/tex] = -2
The slope would be -2.
Or:
Use the equation y = mx + b where m=slope.
In the equation y=-2x+4, m=-2.
The slope is -2.
Answer:
y = -2x + 4 slope is -2
Step-by-step explanation:
that's what I got
What is a unit rate math
Answer:
A unit rate is the answer which you get when you divide one of the numbers by the other. This is how much one would be. Here is a video:
htt ps: / /ww w.you tu be.co m/ wa tc h?v= Z m0 KaIw -3
5k
Just remove the spaces in between and you should be alright.
Final answer:
A unit rate is a comparison of two measurements with one unit having a value of 1, such as 55 miles per hour (55/1 miles/hour). Unit rates are useful in mathematics and science to understand how quantities relate on a per-unit basis, which is essential for dimensional analysis and unit conversions.
Explanation:
A unit rate is a type of rate that compares a quantity to one unit of another quantity, essentially telling us how much of one thing is present per one unit of another thing. A common example of a unit rate is speed, such as 55 miles per hour, which is written as 55 miles/1 hour. Here we are comparing the distance traveled to the time taken to travel that distance, indicating how many miles are covered in one hour.
Unit rates are related to proportions, which are equations that state that two ratios are equivalent. For example, 1/2=3/6 is a proportion. However, a unit rate always has a denominator of one, making it a special kind of ratio that is easily comparable across different scenarios.
Using unit scales is similar in concept to unit rates, but involves comparing two measurements where none necessarily equals one. For example, a unit scale on a map may be represented as 1 inch = 100 feet, showing the ratio of the size of the map to the actual size of the territory covered.
Understanding unit rates is also essential for dimensional analysis in science and unit conversions. Dimensional analysis is a process used in physics to ensure that the units in calculations cancel out or match up properly, indicating correct use of units in formulas and computations.
Which is not enough given information needed to solve a right triangle?
A) two acute angles and one side length
B) measure of the hypotenuse
C)two side lengths
D)one side length and the measure of one acute angle
A right-angled triangle is a triangle having one of its angles with a measure of 90°. The correct option is B.
What is a right-angled triangle?A right-angled triangle is a triangle having one of its angles with a measure of 90°. The slanted side of that triangle is called Hypotenuse and it is the longest side in that triangle.
From the given options the information that is not enough to solve a right triangle is the measure of the hypotenuse.
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54% of what number is 162
87.48
50% 81
4% 6.48
82+6.48=87.48
Using a tape measure, Melanie found that the circumference of the great
redwood was 600 cm. She estimated that its diameter was 200 cm. Was
Melanie’s estimate a little too large, a little too small or right on?
A little too large
Right on
A little too small
Circumference is pi x diameter so we have to divide 600 by pi to get the actual diameter. 600÷3.14=191cm, so her estimate was a little too small
Answer:
Step-by-step explanation:
A. Little too large
Because
C= (Pi)*d
600=(pi)*200
So the answer is the A.
Explain clearly why a regular hexagon will tessellate but a regular decagon will not.
A regular hexagon have an interior angle of 120°, while a regular decagon have an interior angle of 144°.
The regular hexagon will tessellate because 3 hexagons can be tessellated at a point. (360° / 120° = 3)
The regular decagon will not tessellate because 360° is not divisible by 144°.
Someone please help :)
Answer:
6d²+5cd-3dc+8
Step-by-step explanation:
So by combining like terms you need to have the same letters t the same powers in order to combine them
For the first one from 6d²+5cd-3dc+8 you can combine the 5cd and -3dc because they have like terms whereas all the other ones cant combine like 7d²-3c²+6d-c there aren't aren't terms that are to the same power and letter
A sweater that regularly sold for $52 is now on sale at 30% off. What is the sale price?
Answer:
Step-by-step explanation:
What you have to do is set it up like this
what you have to do is
(30*52) ÷ 100=x
1664 ÷ 100= 16.64
52-16.64= 35.36
35.36 is the new sale price
which do you think is greater 4 x 3 2/5 or 3 x 4 2/5
Answer: the answers are both the same
Step-by-step explanation:3x4=12
12+2/5=12 2/5
4x3=12
12+2/5=12 2/5
12 2/5=12 2/5
16)
If a parachutist jumped from an airplane flying at an altitude of 10,000 feet and fell at an average free fall speed of 158 feet per second for 17 seconds, what impact will it have on the altitude of the parachutist?
A) -2,686 feet
B) -2,669 feet
C) 2,669 feet
D) 2,686 feet
I think the answer is D
Answer:
The answer is A
Step-by-step explanation:
First multiply 158 by 17 and you get 2,686 and since your falling it will be going down making it a negative
4-(3-5)=
I need help
Answer:
6
Step-by-step explanation:
I'm 99% sure you know the answer to this and didn't have to resort to this website.
3-5 = -2
Subtracting negative numbers means it becomes positive.
So the gist is that your adding 4 and 2 which is 6.
Factor. 9x^2-25y^2 brainly please help
Here is the factor (3x+5y)(3x-5y)
Answer:
(3x+5y)(3x−5y)
Step-by-step explanation:
The binomial can be factored using the difference of squares formula
a^2−b^2=(a+b)(a−b) where a=3x and b=5y
Liam is making chocolate chip cookies. The recipe calls for 1 cup of sugar for every 3 cups of flour. Liam only has 2 cups of flour. How much sugar should Liam use and explain why your answere is correct.
Answer: 2/3
Step-by-step explanation: 2/3 cup of sugar. you keep the 3 cups of flour the same, and put the 1 cup of sugar as a fraction like 3/3=1 cup. then just minus the 1 cup of flour from the top. 2/3 cups of sugar
Answer - 2/3
If the recipie Liam is using requires 3 cups of flour, and he only has 2, then he has 2/3 of the amount in the recipie. This means he would need to use the same proportions of sugar as flour - 2/3. Therefore he needs to use 2/3 x 1 of the amount in the recipie, which is two thirds (2/3) of a cup.
Find the surface area
Using the given equation, replace r with 5 and h with 30 and PI with 3.14:
SA = 2(3.14)(5)^2 + 2(3.14)(5)(30)
SA = 6.28(25) + 6.28(150)
SA = 157 + 942
SA = 1099 square inches.