Answer:
3x - y = 1
Step-by-step explanation:
The system:
[tex]$\left \{ {{y = 3x -1} \atop {y = 3x + 2}} \right. $[/tex]
There is no solution to this system of equations.
The system:
[tex]$\left \{ {{y = 3x -1} \atop {3x - y = 2}} \right. $[/tex]
[tex]$\left \{ {{y = 3x -1} \atop { y = 3x-2}} \right. $[/tex]
The is one solution to this system.
The system:
[tex]$\left \{ {{y = 3x -1} \atop {3x - y = 1}} \right. $[/tex]
[tex]$\left \{ {{y = 3x -1} \atop { y = 3x-1}} \right. $[/tex]
There are infinity solutions to the system.
The system:
[tex]$\left \{ {{y = 3x -1} \atop {3x + y = 1} \right. $[/tex]
[tex]$\left \{ {{y = 3x -1} \atop { y = 1-3x}} \right. $[/tex]
The is one solution to this system.
Which of the following is an example of a function
whose graph in the xy-plane has no x-intercepts?
A) A linear function whose rate of change is not
B) A quadratic function with real menos
© A quadratic function with no real xeros
D) A cubic polynomial with at least one real zero
Answer: Option C.
Step-by-step explanation:
A function goes trough the x-axis when f(x) = 0 for some value of x.
For example, when we say that a quadratic function has no real zeros, this means that the determinant is less than zero, so the roots of the equation:
a*x^2 + b*x + c = 0
are complex roots, this means that for the function:
f(x) = y = a*x^2 + b*x + c
there is not a real number x such f(x) = 0
So the correct option is C.
The quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.
What is x-intercept?The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the x-axis.
The example of a function whose graph in the xy-plane has no x-intercepts has to find out.
X-intercept is the point over the graph where,
[tex]y=f(x)[/tex]
Here, x is the roots of the function.
For no value of x-intercepts, the function become,
[tex]y=0[/tex]
[tex]f(x)=0[/tex]
Here, the zeros and roots are the same, where function become equal to zero.
Thus, the quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.
Learn more about the x-intercept here;
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10. A population of 1,236,000 grows 1.3% per year for 10 years.
11. A population of 752,000 decreases 1.4% per year for 18 years.
12. A new car that sells for $18,000 depreciates 25% each year for 4 years.
13. The value of a piece of equipment has a decay factor of 0.80 per year.
After 5 years, the equipment is worth $98,304. What was the original
value of the equipment?
14. A new truck that sells for $29,000 depreciates 12% each year. What is
the value of the truck after 7 years?
15. The price of a new home is $350,000. The value of the home appreciates 2%
each year. How much will the home be worth in 10 years?
Original Population = 1236000
Growth Rate = 1.3% per year
Since the population grows at an exponential rate, we can say that the growth of the population is an exponential growth.
Using the formula of exponential growth
population after 10 years = Original population (1-1.3%)^10
= 1236000 {1+(1.3/100)}^10
= 1236000 (1+0.013)^10
= 1236000 × 1.013^10
= 1236000 × 1.13787
= 1406407.32
math help pls, thank you
Answer:
D. A minimum
Step-by-step explanation:
Point F is lower than the points nearby, both to the left and the right. Therefore it is a local minimum.
Find the decimal equivalent to 415.
0.26
0.2ModifyingAbove 6 with bar
ModifyingAbove2.6 with bar
ModifyingAbove2.6 with bar
Answer:
[tex](B)0.2\overline{6}[/tex] (0.2ModifyingAbove 6 with bar)
Step-by-step explanation:
We want to find the decimal equivalent of 4/15.
[tex]\dfrac{4}{15}=0.266666666.....[/tex]
Since the number 6 recurs/repeats indefinitely, we write the recurring decimal as:
[tex]0.266666666.....=0.2\overline{6}\\$Therefore:\\4/15=0.2\overline{6}[/tex]
The correct option is B.
Answer:
i got you bro the answer is 0.26 with a line on top of the 6
What is example of natural numbers
Answer:
1, 2, 3, and so on are natural numbers.
Step-by-step explanation:
A bus took 1 hour and 30 minutes. How many minutes is that?
Answer: 90 mins
Step-by-step explanation:
1hr=60 mins+ 30 mins
Answer:
90 minutes.
Step-by-step explanation:
Conversion ratio of hours to minutes:
1 hour = 60 minutes.
Add the two numbers together:
60 minutes + 30 minutes = 90 minutes.
90 minutes is your answer.
~
What is the volume of the right rectangular prism, in cubic centimeters? A prism has a length of 4 centimeters, height of 9 centimeters, and width of 3 centimeters. cubic centimeters
The volume of the given rectangular prism is 108 cubic centimeters.
What is a rectangular prism?A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same. Volume of a rectangular prism = Area of a base × Height.
Given that, a prism has a length of 4 centimeters, height of 9 centimeters, and width of 3 centimeters.
We know that, the volume of a rectangular prism = Length×Breadth×Height
= 4×3×9
= 108 cubic centimeters
Therefore, the volume of the given rectangular prism is 108 cubic centimeters.
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Which situation is most likely to have a constant rate of change?
A. The total amount paid for gas compared with the number of
gallons purchased.
B. Distance a delivery truck travels compared with the number of
deliveries made
) C. Number of flowers in a flower bed compared with the area planted
D. Points scored in a basketball game compared with the number of
quarters played
Answer:a
Step-by-step explanation:
The length of a rectangle is 3 units more than the width. The area of the rectangle is
40 units. What is the length, in units, of the rectangle?
Answer:
8 units for the length
Step-by-step explanation:
Let l = length
w = width
l = w+3
A = l*w
substitute what we know
40 = (w+3) *w
distribute
40 = w^2 +3w
Subtract 40 from each side
0 = w^2 +3w -40
Factor
0 = (w+8) (w-5)
Using the zero product property
w+8 =0 w-5=0
w= -8 w=5
Since the width cannot be negative
w=5
l = w+3 = 5+3
l = 8 units
What is the measurement for the diameter of a circle with a circumference of 88 ft?
Use 3.14 for Pi. Round your answer to the nearest foot.
Answer: 617 ft.
Step-by-step explanation: So first, the formula is A=C²/ 4π, knowing this, let's just plug in our numbers
A = C² / 4 · π
A = 88² / 4 · 3.14
A = 7744 / 4 · 3.14
A = 7744 / 12.56
A = 7744 / 12.56
A = 616.56
A ≈ 617
Hope this helps :)
3x-9y=9 -3x+4y=14 (1,-3) (6,1) (1,-8)
Help meh................
....
Answer:
71-45 is 26
Step-by-step explanation:
Answer:
71-45 = 26
Step-by-step explanation:
find the missing letter which is n.then find the perimeter. the width is 3ft and area is 33sq ft
Answer:
Perimeter = 28 ft
n = 11
Step-by-step explanation:
Area = length x width
33 = n * 3
n = 11 = length
then the perimeter is 2Length + 2Width
= 2*11 + 2*3 =
22 + 6 = 28
Answer:
Step-by-step explanation:
Area = 33 sq ft
length * width = 33
n * 3 = 33
Divide both sides by 3
n = 33/3
n = 11 ft
Perimeter = 2*(length + width)
= 2*(11 + 3)
= 2* 14
= 28 ft
George Washington, Andrew Jackson, Ulysses Grant, Dwight Eisenhower
These four president were all-
Democrats
Republicans
Military leaders
College Professors
Answer:
George Washington, Andrew Jackson, Ulysses Grant, and Dwight Eisenhower were all military leaders.
The value of which of these expressions is closest to e?
A. (1+1/19)^19
B. (1+1/22)^22
C. (1+1/20)^20
D. (1+1/21)^21
Answer:
B.
Step-by-step explanation:
Given: expressions
To find: the expression whose value is closest to e
Solution:
Value of e is 2.718
[tex]\left ( 1+\frac{1}{19} \right )^{19}=\left ( \frac{20}{19} \right )^{19}=2.65\\\left ( 1+\frac{1}{22} \right )^{22}=\left ( \frac{23}{22} \right )^{22}=2.659\\\left ( 1+\frac{1}{20} \right )^{20}=\left ( \frac{21}{20} \right )^{20}=2.653\\\left ( 1+\frac{1}{21} \right )^{21}=\left ( \frac{22}{21} \right )^{21}=2.656[/tex]
Therefore, value 2.659 is closest to the value of e.
So, option B. is correct.
Answer:
B
Step-by-step explanation:
Seven different models cars, from which there are three blue and four red, are to be parked in a row. Find how many different arrangements there are if the first, the last, and the car in the middle of the queue should be blue.
Answer ASAP for brainliest answer!
Answer:144 ways
Step-by-step explanation:
Given
There are 7 different models cars
out of which three are blue and 4 are red
If the first middle and last car in Queue is blue car therefore the position of blue cars is fixed
But these 3 cars can be arranged in 3! ways
Remaining 4 cars can be arranged in remaining 4 spots in 4! ways
Therefore total no of ways are
[tex]=3!\times 4![/tex]
[tex]=6\times 24=144\ ways[/tex]
Please help need it in 1 hour plz help will mark brainleist
Answer:
I can not see the question
Step-by-step explanation:
Which of the following could represent the scale factor of the larger figure to the smaller figure?
15.9
5:3
3:2
21:14
2:3
20:30
Answer:
3:2 and 21:14
Step-by-step explanation:
The same side on the larger and smaller cylinders is 30 and 20 respectively or 18 to 12
Simplify:
30:20 => 3:2
18:12 => 3:2
Therefore, the answer is 3:2
However, in addition you can multiply 3 by 7 to get 21 and 2 by 7 to get 14, so 21:14 also works
In Circle C, EA and FB are diameters. Identify the following Two major arcs.
Answer:
See explanation
Step-by-step explanation:
Two major arcs:
[tex] \widehat {EAB}, \:\:\widehat {FAD}[/tex]
Two minor arcs:
[tex] \widehat {EF}, \:\:\widehat {AB}[/tex]
neeeed helpp!!!! thank you
Answer:
1: 12d
2: m^-2 n^3
Step-by-step explanation:
For problem 1, you subtract all of the exponent(s) for 4d^4 by adding -4 and 4 together to create zero, thus removing the exponent(s), then you multiply 3×4 and get 12d.
For problem 2, you just put m^-2 and n^3 together. You cannot combine the exponents or variables, so it would just look like m^-2 n^3
The ^ before a number means that it is an exponent.
Lilly found 40 seashells. She
put 10 seashells in each bucket. How many
buckets did Lilly use? Show your work.
--------- buckets
Answer:
4 buckets
Step-by-step explanation:
40 divided by 10 is 4
Answer:
4 bucket
Step-by-step explanation:
We can either use division or repeated subtraction in this case! Division is easier!
40/10 = 4
4 groups of 10 is what this looks like! (In this case, 4 buckets of 10 seashells)
In which type of triangle is the orthcenter on the perimeter of the triangle
Answer:
Right Triangle
Step-by-step explanation:
All altitudes meet on the right angle vertex.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the equivalent expression.
2^2
Answer:
4
Step-by-step explanation:
2 times by itself would make 4
Hope this helps
God loves you
This is like a stupid question I know how to do it but I just can’t so could someone help
Answer:
-6.7, -28/5, 8.2, 17/2
Step-by-step explanation:
Divide the fractions to turn them into decimals, then organize from least to greatest!
Answer:
The second one
Step-by-step explanation:
Divide 17 by 2 = 8.5
Divide -28 by 5 = -5.6
Therefore:
-28/5, -6.7, 8.2, 17/2
Hope this helps!
Write an equation for the nth term of the arithmetic sequence 56, 48, 40, 32, ....
An equation for the nth term of the arithmetic sequence is an
Answer:
an = 56-8(n-1)
Step-by-step explanation:
This is an arithmetic sequence
The common difference is 48 - 56 =-8
a1 = 56
an = a1+d(n-1)
an = 56-8(n-1)
The region of integration in the xy-plane for the given integral ∫∫R √(4xy) dy dx, where R is the region bounded by x = 0, x = -3, y = 0, and y = -9 - x^2, can be visualized as a triangular region in the first quadrant.
What is the geometric representation of the given integral?The given integral is a double integral of the function √(4xy) over a specific region in the xy-plane. To determine the region of integration, we consider the given bounds: x ranges from 0 to -3, and y ranges from 0 to -9 - x^2.
Starting with the x bounds, x = 0 represents the y-axis, while x = -3 represents a vertical line passing through the point (-3, 0). Thus, the region is bounded by the y-axis on the left and the vertical line x = -3 on the right.
Moving on to the y bounds, y = 0 represents the x-axis, while y = -9 - x^2 represents a downward-opening parabola with its vertex at the origin and its axis of symmetry parallel to the y-axis. Since y is negative, the parabola lies below the x-axis.
By combining the x and y bounds, we obtain a triangular region in the first quadrant. The triangle is formed by the x-axis, the line x = -3, and the curve y = -9 - x^2. This region of integration represents the area over which the function √(4xy) is being integrated.
Learn more about integration
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does anyone know this
Answer:
x = 12.24
Step-by-step explanation:
In any circle the following ratio can be used.
[tex]\frac{arc}{circumference}[/tex] = [tex]\frac{x}{360}[/tex] , substitute values
[tex]\frac{1.88}{2(8.8)\pi }[/tex] = [tex]\frac{x}{360}[/tex] ( cross- multiply )
17.6π x = 276.8 ( divide both sides by 17.6π )
x = [tex]\frac{276.8}{17.6\pi }[/tex] ≈ 12.24
Answer:
12.24°
Step-by-step explanation:
I hope it helps :)
What positive value of x makes the following equation true: x^2 = 289? Expain
Answer:
17
Step-by-step explanation:
17x17= 289
Answer:
The square root of 289 is also 17.
Step-by-step explanation:
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 26 feet and a height of 14 feet. Container B has a diameter of 18 feet and a height of 15 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full. After the pumping is complete, what is the volume of the empty space inside Container A
Answer:
First, let's work out the V of container A and B
V_A = pi x (diameter/2)^2 x height = pi x (26/2)^2 x 14 = 2366 pi (ft3)
V_B = pi x (diameter/2)^2 x height = pi x (18/2)^2 x 15 = 1215 pi (ft3)
After pumping water from container A to container B until B is full:
The empty space inside container A would be:
V_empty = V_A - V_B = 2366 pi (ft3) - 1215 pi (ft3) = 1151 pi (ft3) = ~3615.97 (ft3)
Answer:
3,815.1 feet³
Step-by-step explanation:
Volume filled in B = Volume emptied from A
pi × r² × h
3.14 × (18/2)² × 15
3815.1 feet³
Which of the following statements is not true?
Which are perfect squares? Check all that apply.
A) 9
B) 24
C) 16
D) 200
E) 169
F) 625
Answer:
A
Step-by-step explanation:
Answer:
A. 9
C. 16
E. 169
F. 625
Step-by-step explanation:
