Find the solution(s) of the system of equations.y = –x2 + 2y = x2 + 4x + 4Question 12 options:A) (1, 1)B) (–1, 1) and (0, 2)C) (–1, 1)D) (–1, 1) and (1, 1)

Answer:

  B)  Parallel lines

Step-by-step explanation:

Translating a line does not change its direction. Parallel lines translated are still parallel. (And they are parallel to the original.)

The piece-wise function shown in the graph is defined as follows:

A piecewise function is a function that has different definitions, depending on the input.

For x equal or less than -3, the function is constant at g(x) = 6, hence the first definition is given by:

g(x) = 6, x ≤ -3.

For x between -3 and -2, with open intervals, the function is linear with a slope of -3, hence:

g(x) = -3x + b, -3 < x < -2.

There is an open interval at (-2,6), hence we use it to find b, as follows:

6 = -3(-2) + b

b = 0.

Hence:

g(x) = -3x, -3 < x < -2.

For x of at least -2, we have a linear function with slope and intercept of 1, hence:

g(x) = x + 1, x ≥ -2.

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Answer:

170.87 or 10.875 is u round it then its 170.88

Okay so you put -6 in where y is then solve and youll get your answer

-8x-7(-6)=-6

The least amount of money that was originally put in the savings account is $426.

The amount of money in the savings account is a function of the money that was originally in the account and the amount by which the account was increased by.

The inequality that represents the total amount of money in the savings account is:

amount originally in the account + amount deposited > 500

x + $75 > $500

x > $500 - $75

x > $425

The least amount would be $426 because this is the smallest number that is greater than $425 that would make the total amount more than $500.

To check:

$75 + $426 = $501

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In a parallelogram, consecutive angles are supplementary angles.

On the other hand, since Y is supplementary to X, as well as W is supplementary to X, then Y and W have the same measure.

Additionally, since the segments WX and VY are parallel and the angles WXV and YVX are alternate interior angles, then the measure of YVX is the same as the measure of WXV.

Finally, since WV and XY are opposite sides of a parallelogram, their measures are the same. Then:

Therefore:

Answer:

-272

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

(12 ÷ 3) 2nd power − (18 ÷ 3 to the 2nd power )) × (4 ÷ 2) →

(12/3)² – (18/3²) × 8 →

16 – 2 × 8 →

16 – 16 →

0

We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

The mean is a measure of central tendency that represents the average value of a set of numbers. It is also called the arithmetic mean or simply the average.

We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

The mean and the median are two different measures of central tendency, and they can have different values depending on the distribution of the data. In general, if a data set is symmetric and bell-shaped, the mean and the median are close to each other. However, if the data set is skewed, the mean and the median may be different.

For example, consider the following two data sets:

Set 1 data: 1, 2, 3, 4, and 5.

The median is 3.

The mean is (1 + 2 + 3 + 4 + 5) / 5 = 15 / 5 = 3.

Data set 2: 1, 2, 3, 4, 10

The median is 3.

The mean is (1 + 2 + 3 + 4 + 10) / 5 = 20 / 5 = 4.

In data set 1, the mean is the same as the median. In data set 2, the mean is greater than the median because the value 10 is an outlier that pulls the mean up.

Therefore, without additional information about the distribution of the data, we cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

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The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = x² - 3

The x-coordinates where the graphs of the equations intersect is when both equations are equal

So, we have

x² - 3 = 2x

Rewrite the equation as

x² - 2x - 3 = 0

When the equation is factored, we have

(x + 1)(x - 3) = 0

So, we have

x = -1 and x = 3

Hence, the x-coordinates are x = -1 and x = 3

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Question

From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.

y = 2x

y = x² - 3

The surface integral in terms of ρ and θ ∫∫S.((6y - 5)e^(x^2))

To evaluate ∬s.curl F•nds using Stokes' Theorem, we first need to find the curl of the vector field F and then compute the surface integral over the given surface S.

Given vector field F = (6yz)i + (5x)j + (yz(e^(x^2)))k, let's find its curl:

∇ × F = ∂/∂x (yz(e^(x^2))) - ∂/∂y (5x) + ∂/∂z (6yz)

Taking the partial derivatives, we get:

∇ × F = (0 - 0) i + (0 - 0) j + (6y - 5)e^(x^2)

Now, let's parametrize the surface S, which is the portion of the paraboloid z = (1/4)x^2 + y^2 for 0 ≤ z ≤ 4. We can use cylindrical coordinates for this parametrization:

r(θ, ρ) = ρcos(θ)i + ρsin(θ)j + ((1/4)(ρcos(θ))^2 + (ρsin(θ))^2)k

where 0 ≤ θ ≤ 2π and 0 ≤ ρ ≤ 2.

Next, we need to find the normal vector n to the surface S. Since S is oriented upward, the normal vector points in the positive z-direction. We can normalize this vector to have unit length:

n = (∂r/∂θ) × (∂r/∂ρ)

Calculating the partial derivatives and taking the cross product, we have:

∂r/∂θ = -ρsin(θ)i + ρcos(θ)j

∂r/∂ρ = cos(θ)i + sin(θ)j + (1/2)(ρcos(θ))k

∂r/∂θ × ∂r/∂ρ = (-ρsin(θ)i + ρcos(θ)j) × (cos(θ)i + sin(θ)j + (1/2)(ρcos(θ))k)

Expanding the cross product, we get:

∂r/∂θ × ∂r/∂ρ = (ρcos(θ)(1/2)(ρcos(θ)) - (1/2)(ρcos(θ))(-ρsin(θ)))i

+ ((1/2)(ρcos(θ))sin(θ) - ρsin(θ)(1/2)(ρcos(θ)))j

+ (-ρsin(θ)cos(θ) + ρsin(θ)cos(θ))k

Simplifying further:

∂r/∂θ × ∂r/∂ρ = ρ^2cos(θ)i + ρ^2sin(θ)j

Now, we can calculate the surface integral using Stokes' Theorem:

∬s.curl F•nds = ∮c.F•dr

= ∫∫S.((∇ × F)•n) dS

Substituting the values we obtained earlier:

∫∫S.((∇ × F)•n) dS = ∫∫S.((6y - 5)e^(x^2))•(ρ^2cos(θ)i + ρ^2sin(θ)j) dS

We can now rewrite the surface integral in terms of ρ and θ:

∫∫S.((6y - 5)e^(x^2))

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Answer:

f(x) = -5/9x - 11/9

Step-by-step explanation:

Consider f(x) = y

so if x = -4 => y = 1 and x = 5 => y = -4

so (-4,1) and (5,-4) should be on the same linear equation

Slope m = (y2 - y1)/(x2 - x1)

m = (-4 - 1)/(5 -  -4) = (-5)/(9) = -5/9

y = mx + b

given m = -5/9, x = -4, y = 1

1 = -5/9(-4) + b

b = 1 - 20/9

b = 9/9 - 20/9 = -11/9

so y = -5/9x - 11/9

or f(x) = -5/9x - 11/9

Step-by-step explanation:

by making it worst and difficult for everybody not to understand

Answer:

Step-by-step explanation:

Part A. John will not be painting the floor area of that of the door or window openings.

Part B. Subtracting the areas of the floor, door, and window from the total surface area will provide the area to be painted so Judy is correct.

Part C.

We first need to find the area to be painted.

A=floor+2(wall1)+2(wall2)-window-door

A=14(7)+2(7)8+2(14)8-3(6)-3(7)

A=98+112+224-18-21

A=395 ft^2

Since a gallon of paint will cover 350 ft^2

395ft^2(gal/350ft^2)=1.13 gal

John will need approximately 1.13 gallons of paint. (Rounded to nearest hundredth of a gallon)

Answer:

A. 6x^2-17x+12

What was the original amount of cereal in a particular brand box was 22 ounces.

Cost reduction is the procedure of lowering a business's expenses in order to increase profits. It entails locating and eliminating expenses that don't benefit customers in any way, as well as streamlining operations to increase productivity. Cost-cutting efforts frequently concentrate on producing quick financial gains.

13% of the original amount = 2.86 ounces

1% of the original amount = 2.86/13 ounces

100% of the original amount = (2.86*100)/13 ounces

⇒ 286/13 ounces

⇒ 22 ounces

So, the original amount of cereal in a particular brand box was 22 ounces.

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Answer:

Starting with:

-15 > -11 + w

Add 11 to both sides:

-15 + 11 > w

Simplifying:

-4 > w

Therefore, the solution for the inequality -15 > -11 + w, when solved for w, is:

w < -4

Answer:

65 alojamiento

Step-by-step explanation:

Answer:

\(9 (\frac{2}{3})^{n-1}\)

Hope this helps!

Answer:

I need the labels (Height , Width, Length)

Step-by-step explanation:

Answer:

The first coupon with $550 off

Step-by-step explanation:

773.50-550= 223.5 (first coupon)

773.50×(100%-70%)=232.05(second coupon)

232.05>223.5

first one will save more money

Answer:

1.) \(=50x+30y\)

2.? The first one

Step-by-step explanation:

1.)\(\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\),  \(a=10,\:b=5x,\:c=3y\)

\(=10\cdot \:5x+10\cdot \:3y\)\(=50x+30y\)

2.) The first one

Answer:

What is the price of the cell phone you are referring to?

Answer:    20,736

Step-by-step explanation:

Math and History and Chemistry and Biology and Subjects

  3!     x        4!        x          3!          x        1!          x        4!       = 20,736

Step-by-step explanation:

Improper fractions have a numerator that is larger than the denominator

1 = 6/6

 so  1  1/6  = 7/6

Answer:

you would have $150.00

Answer:

The answer would be $150.

Step-by-step explanation:

The sale price of coat is $180 and the sale price of boot is $284 when 20% off a coat and a pair of boots are now  on sale.

Given that,

20% off a coat and a pair of boots are now  on sale. The coat normally sells for $225. The boots cost $130 on the open market.

We have to find the coat's sale price and what is the cost of the boots on sale.
We know that,

The formula for the sales price is S = P - PD

Where, S is sales price, P is the original price and D is the discount percent.

P = 225 and D = 20%

S = 225 - 225 × 20%

S = 225 - 45

S = $180 is the sale price of coat.

Now,

Total regular price = 225 + 130 = 355

S = 355 - 355 × 20%

S = $284 is the sale price of boots.

Therefore, The sale price of coat is $180 and the sale price of boot is $284.

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Answer:

Step-by-step explanation: 462 Divided by 24 = 19.25$

Proof: 19.25 x 24 = 462

Answer: 19.25$

Answer:

The circle's circumference is approximately 106.81 centimeters.

Explanation:

The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the circle.

So, for a circle with a radius of 17 centimeters, its circumference can be found by:

C = 2πr

C = 2 x 3.14 x 17

C ≈ 106.81 cm

Therefore, the circumference of the circle is approximately 106.81 centimeters.