What is the next term in the pattern? 1,-1,2,-2,3...

The equivalent system to given equations is: 2x - y = 3 and x + 2y = 5. We assess this by finding the solution of the given system (x = 4, y =1) and verifying these values in all given options.

The given system is: x - y = 3 and x + y = 5. To find an equivalent system, we need to find a system that has the same solution as the given one.

If we add these two equations, we have 2x = 8, so x = 4. If x = 4, we can put x = 4 into the second equation 4 + y = 5, hence y = 1.

Now we test these solutions in the given options. After testing, we find that the equivalent system is: 2x - y = 3 and x + 2y = 5.

https://brainly.com/question/32634451

#SPJ12

Answer:

 A =  114 m²

Step-by-step explanation:

The formula for area of a trapezoid is

A = (1/2)(B + b)h   where B is the bottom base, b is the top base, and h is the height.  

We are given B = 11, b = 8, and h = 12, plug those values in and simplify

A = (1/2)(11 + 8)(12)

     A = (1/2)(19)(12)

          A = (19)(6)             (half of 12 is 6)

                A =  114 m²

Answer:

please mark me brainiliest

y/x-5

Step-by-step explanation:

Answer: y ÷ x -5

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

"y" is a variable that is divided by the quantity "x" (also a variable) minus 5 (subtraction).

Mathematically speaking:

y ÷ x -5

In conclusion, the expression is y ÷ x -5

Feel free to ask for more if needed or if you did not understand something.

Answer:

The function is

g(x) = 5^(-x)

This question can be easily solved by using a graphing calculator

and plotting the graph of g(x)

In the image below, we can see that for each value of x , there is a corresponding value for g(x)

This means that the function does not have any discontinuities. Therefore,

The domain of g(x) is all real numbers  (x ∈ R)

The range is related to the values that can be achieved by g(x),

Since it is a positive exponential function, all values will be g(x)>0

And the range would be (0,∞)

The domain of g(x) = 5-x is all real numbers because any real number can be an input, but the range is not all real numbers since the output is limited to values equal to or less than 5.

The function g(x) = 5-x has a domain of all real numbers because you can plug in any real number for x and it will result in a valid output. In contrast, the range of g is not all real numbers because the function g(x) can only produce certain values based on the operations involved. For instance, if x is a real number, the expression 5-x will always result in values less than or equal to 5, since you are subtracting a real number from 5. Thus, the output will never be greater than 5, so the range is all real numbers less than or equal to 5.

2. Which is a disadvantage of purchasing and owning a home?

A. An individual assumes all responsibility for maintenance and repair of owned property.

3. How much cash did the borrower pay upfront?

D.$95,505.36   (500 + 94400 + 605.36)

4. What amount goes in line 8?

B.$121,491.04    (95505.36 + 25985.68)

The main disadvantage of home-ownership is that the individual is responsible for all maintenance and repair costs. As for the borrower's upfront payment and the amount in line 8 on the Final Settlement Statement, these would be specified in the settlement statement and cannot be precisely determined without such information.

2. The main disadvantage of purchasing and owning a home is: A. An individual assumes all responsibility for maintenance and repair of owned property. This can be expensive and time-consuming, especially if the property is older or requires frequent repairs.

3 & 4. Without the table showing the Final Settlement Statement for the purchase of a home, it would be impossible to indicate precise answers to questions 3 and 4 related to upfront cash paid by the borrower, and the amount going in line 8. These values are calculated based on several variables, which should be tabulated clearly in the Final Settlement Statement.

https://brainly.com/question/34787643

#SPJ2

Answer:

e = 56

Step-by-step explanation:

Use cross multiplication.

28 * 14 = 7e

Simplify

392 = 7e

Divide each side by 7

e = 56.

Answer:

cross muiltiply the euqation

28 * 14 = 7e

e= 56

give thanks :D

Answer: $105.25

Step-by-step explanation: The first step is to calculate the total of the purchases that she made, which is done by this formula:

(2x$16) + 40 +25=

$32 + 40 + 25 =

$97 is the total of the clothing

Tax is 8.5%, so to calculate the tax by multiplying .085 x 97 = $8.25 Sales Tax

In order to determine the total, add $97 + 8.25 = $105.25

Answer: This was HARD! 3.279279986x10^34

Step-by-step explanation:

I HOPE TO GOD THAT HELPED! phew!

Answer:

y=3x-38

Step-by-step explanation:

We know that Tracy spent $38 in less than 3 times than what Daniel spent. Given this information we can put our eqaution together.

Y=3x-38

Hope this helps! :)

Answer:

11 books

Step-by-step explanation:

because if she gets $4 per book and gets $44 in total then that means she has read 11 books because 4 times 11 is 44.

Answer:

vertex, (4, –2); y-intercept, –6

Step-by-step explanation:

The equation is written in vertex form [tex]y = a(x-h)^2 + k[/tex] where the vertex is (h,k).

The vertex here is (4, -2). This means the solution is vertex, (4, –2); y-intercept, –6.

Answer:

vertex, (4, –2); y-intercept, –6.

Step-by-step explanation:

[tex]y=-0.25(x-4)^{2}-2[/tex]

[tex]y=-0.25(x^{2}-8x+16)-2[/tex]

[tex]y=-0.25x^{2}+2x-4-2[/tex]

[tex]y=-0.25x^{2}+2x-6[/tex]

the vertex is [tex](\frac{-b}{2a},y(\frac{-b}{2a}) )[/tex] where a=-0.25 and b=2. So,

[tex]\frac{-b}{2a}= \frac{-2}{-0.5}=4[/tex]

[tex]y(\frac{-b}{2a})=-0.25(4)^{2}+2(4)-6= -4+8-6=-2 [/tex]

Then, the vertex is (4,-2) and the intercept is y(0)= -0.25(0)+2(0)-6 = -6. So, the answer is the third option.

Answer:

22

Step-by-step explanation:

Divide the area (in square units) by Pi (approximately 3.14159).

Example: 380.13/3.14 = 121.06

Then square the answer.

121.06 squared = 11.0

That answer is the radius, double that to get the diameter.

11.0 * 2 = 22

Final answer:

To calculate the diameter of a circle with an area of 380.13 m², solve for the radius using the formula r = √(A/π) and then double that value to find the diameter, resulting in a diameter of approximately 22.00 meters.

Explanation:

To find the diameter of a circle with a given area, we start with the formula for the area of a circle, which is A = πr², where A is the area, π (Pi) is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle. Given the area A = 380.13 m², we can solve for the radius r by rearranging the area formula to r = √(A/π) and then calculating the diameter D by doubling the radius (D = 2r).

Step 1: Calculate the radius.
r = √(A/π) = √(380.13 m² / 3.14159) ≈ 11.00m

Step 2: Calculate the diameter.
D = 2r = 2 × 11.00m = 22.00m

Answer:

That would be 24%.

1/5x5=1,65+1+6=72, and 72÷9=8. The answers 8.

i believe its 20 times larger

Answer:

810cm^3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula of a surface area of a cube:

[tex]S.A.=6a^2[/tex]

a - edge

We have S.A. = 54 in². Substitute:

[tex]6a^2=54[/tex]        divide both sides by 6

[tex]a^2=9\to a=\sqrt9\\\\a=3\ in[/tex]

The formula of a volume of a cube:

[tex]V=a^3[/tex]

Substitute:

[tex]V=3^3=27\ in^3[/tex]

Answer:

6^2 + 8^2 = c^2

36+ 64 = c^2

100 = c^2 | sqrt

10 = C

Let's Find Angles :

sin BCA = 6/10 = 0.6 => 37 degree

90 degree + 37 degree = 127 degree

Angle BAC = 180 degree - 127 degree = 53 degree

The side AC is 10

See the image attached

Diving means it is moving down so it would be a negative value.

You would need to multiply the rate by the number of seconds it dives, so you would have -9x for that part.

The dolphin started at 10 feet below sea level which would be written as -10.

To find the elevation you would need to add both parts together, which would give you:

y = -9x -10

The answer is B.

Answer:

the answer is b :)

Step-by-step explanation:

Multiply the number of cupcakes each by the number of people:

1 1/2 x 4 = 6 total cupcakes.

Answer:

504th caller

Step-by-step explanation:

To determine who would win both the free concert ticket AND the backstage access pass, we need to find the first number that is divisible by both 42 and 72 at the same time.

That's called the Least Common Multiple (LCM), and it can be found with this formula:

[tex]lcm(a,b) = (\frac{|a * b|}{gcd(a,b)} )[/tex]

Where gcd is the Greatest Common Divisor, meaning what's the greatest number that divides both numbers without any leftover.

In the case of 42 and 72, the GCD is 6.

So, let's take the formula again, punching in the numbers this time and solving it.

[tex]lcm(42,72) = (\frac{|42 * 72|}{6} ) = \frac{3024}{6} = 504[/tex]

And 504 does divide both 42 (result is 12) and 72 (result is 7).

The term that changes the size of a figure is called Dilation

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A description of a dilation includes the scale factor and the center of the dilation. A dilation stretches or shrinks the original figure. Remember that to dilate something in the coordinate plane, multiply each coordinate by the scale factor

The term for a transformation that changes the size of a figure is dilation. Dilation involves stretching or shrinking a figure while maintaining its shape, using a scale factor greater than 1 for enlargement or between 0 and 1 for reduction.

The term for a transformation that changes the size of a figure is dilation.

Dilation is a geometric transformation that alters the size of a figure while keeping its shape intact. It involves stretching or shrinking the figure by a scale factor, which can either be greater than 1 (resulting in an enlargement) or between 0 and 1 (resulting in a reduction). In a dilation, all points of the original figure move away from or toward a fixed center called the "center of dilation," and their distances from the center are multiplied by the scale factor.

In contrast, other transformations have different effects:

Rotation involves turning a figure about a fixed point.

Reflection flips a figure over a line, creating a mirror image.

Translation shifts a figure in a specific direction without altering its size or shape.

So, the transformation that changes the size of a figure is dilation.

For more questions on Dilation

https://brainly.com/question/3457976

#SPJ6

Answer:

1/4

Step-by-step explanation:

2/8 = 1/4

Answer:

D. 13000 is the correct option out of the choices!

The total earnings of the 5 weeks will be 13,000.

A process of combining two or more numbers is called addition.

We have to given that;

The average earning of a shop for first three weeks of a month are 2750 per week.

And, The earnings of next 2 weeks are 4750 rupees.

Now,

Since, The average earning of a shop for first three weeks of a month are 2750 per week.

Hence, The total earnings in first three weeks = 3 × 2750

                                                                       = 8,250

And, The earnings of next 2 weeks are 4750 rupees.

Hence, The total earnings = 8250 + 4750

                                        = 13,000

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ2

the answer is :

y = -5/2x + 3/2

Answer:

Choice b is correct.y = -5/2x+3/2 is the slope intercept form of given equation.

Step-by-step explanation:

We have given the equation:

5x + 2y = 3

We have to write the equation in slope intercept form.

The general  slope intercept form of equation is :

y = mx+c

Where m = slope and c is the y-intercept.

We have given the expression:

5x + 2y = 3

2y = 3-5x

y = (3-5x)/2

y = 3/2-5/2x

y = -5/2x+3/2

y = -5/2x+3/2 is the slope intercept form of given equation.

Where m = -5/2 and y-intercept = 3/2

C is the correct answer

1 and 2 are adjacent angles. (C)

Answer:

[tex]\large\boxed{(f-g)(x)=3x^2+6}[/tex]

Step-by-step explanation:

[tex](f-g)(x)=f(x)-g(x)\\\\f(x)=4x^2+1,\ g(x)=x^2-5\\\\\text{Substitute:}\\\\(f-g)(x)=(4x^2+1)-(x^2-5)=4x^2+1-x^2-(-5)\\\\=4x^2+1-x^2+5\qquad\text{combine like terms}\\\\=(4x^2-x^2)+(1+5)=3x^2+6[/tex]

Answer:

-4 and -3

Step-by-step explanation:

-4 + -3 = -7

-4 * -3 = 12

Negative times negative equals a positive.

Answer:

-3 and -4

Step-by-step explanation:

Two numbers have a product of 12 but their sum is -7

Answers are -3 and -4

Double check:

(-3) x (-4) = 12

and

(-3) + (-4) = -7

Answer:

29/50

Step-by-step explanation:

58/100 simplified is 29/50

80, 80, 80, 80, 80, 85, 85, 85, 85, 85, 90, 90, 90, 90, 90

Mean = 85

Median = 85

Range = 10

Mean Absolute Deviation (MAD) = 3.33

Answer:

3.33

Step-by-step explanation:

hope this helps