Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2x and y = 4x−2 intersect are the solutions of the equation 2x = 4x−2. (4 points)

Part B: Make tables to find the solution to 2x = 4x−2. Take the integer values of x between −4 and 4. (4 points)

Part C: How can you solve the equation 2x = 4x−2 graphically? (2 points)

Answer:

EQUATION: [tex]x^2-16x+48=0[/tex]

METHOD: Factorization.

The sellings prices are:

$4

$12

Step-by-step explanation:

You need to find the selling price or prices that would generate $50 in daily profit, then you need to substityte[tex]y=50[/tex] into the quadratic function:

[tex]50=-10x^2+160x-430[/tex]

Make the equation equal to zero:

[tex]-10x^2+160x-430-50=0\\-10x^2+160x-480=0[/tex]

 Simplify by dividing by -10, then you obtain the equation:

[tex]x^2-16x+48=0[/tex]

You can solve it with Factorization.

Choose two numbers whose sum is -16 and whose product is 48.

These would by -12 and -4.

Then:

[tex](x-12)(x-4)=0\\x_1=12\\x_2=4[/tex]

Answer:

Replace y in the equation with 50: (50 = -10x2 +160x - 430) Use factoring to solve the equation. After writing the equation in standard form and dividing each side by -10, it is easy to factor as 0 = (x - 4)(x - 12).

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

1 1/2 x 4 = 6 total cupcakes.

Answer: 105

Step-by-step explanation:

6 hours

7 x 6 = 42

15 hours

7 x 15 = 105

Answer:

105

Step-by-step explanation:

If she works 7 days a week than you get 7 x 15 witch = 105

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.

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.

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Answer:

hey i did this on my quiz trust me

Step-by-step explanation

12,362.70 trust me i did this i just dont know exactly how to explain this

Answer:

= 624.26 m²

Step-by-step explanation:

The area of a circle is given by the formula;

A = πr² ; where r is the radius

Radius = 1/2 diameter

   = 3.14 × 14.1 ×14.1

   = 624.26 m²

Final answer:

To estimate the area of a circle with a diameter of 28.2m, calculate the radius (14.1m), then use the formula A = πr² with pi as 3.14 to get an area of approximately 624.33 m² after rounding to the nearest hundredth.

Explanation:

To estimate the area of a circle with a given diameter of 28.2m, we first need to calculate the radius, which would be half of the diameter. Thus, the radius (r) is 28.2m / 2 = 14.1m.

Next, we use the formula for the area of a circle, which is A = πr². Plugging in the numbers, we get A = (3.14)×(14.1m)².

Carrying out the multiplication, we have A = 3.14 × 198.81m² = 624.3254m². We round this result to the nearest hundredth to get 624.33 m² as the estimated area of the circle using 3.14 for pi.

Answer: 8/15

Step-by-step explanation:

There are 15 total combinations of characters and defense tools in this game. If you randomly choose your character and tool, the probability that you will be a magic user, a user of one of the five tools, is 1 out of 15 or 0.0667.

In this game scenario, the total number of different combinations that can occur when you randomly choose your character and tool is equal to the product of the number of choices for each. We have 3 choices for characters (elf, hobbit, human) and 5 choices for defense tools (magic, sword, shield, slingshot, umbrella). Therefore, the total different combinations are 3*5 = 15. The question asks for the probability that you'll be a magic user, irrespective of the character. Since magic is one of the 5 defense tools, then, there is 1 favorable outcome that we are considering.

The number of favorable outcomes by the total number of possible outcomes is known as the probability of an event. So, we have 1 favorable outcome and 15 total outcomes. Therefore, the probability is 1/15 or approximately 0.0667.

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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:

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

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

If you are trying to ask for the volume of the two rectangular prisms, you can multiply 9m × 10m × 16m and get 1440m^3(meters cubed) for prism A, and multiply 6m × 5m × 3m to get 90m^3

then you add the two together and get

1530m^3 (meters cubed)

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.

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Answer:

x=2

Step-by-step explanation:

We want to isolate x (get x by itself)

1/8 x = 1/4

Multiply each side by 8

8*1/8 x = 1/4 *8

x = 8/4

x = 2

Answer:

2

Step-by-step explanation:

To solve this equation for x, multiply both sides by 8.  This results in:

8(1/8)x = 8(1/4), or x = 2

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: 5

Step-by-step explanation:

The equation to solve this problem is 40 + 2x = 25 + 5x

Now, to solve for x you first need to subtract 25 from each side:

15 + 2x = 5x

Next, subtract 2x from each side:

15 = 3x

Finally, divide both sides by 3:

5 = x

Farid is renting the car for 5 additional days.

Farid wants to rent the car for 5 additional days.

Let's define the costs of the two specials and determine when they are equivalent. Let x represent the number of additional days Farid wants to rent the car.

For the first special, the cost is $40 for the first day and $2 for each additional day:

For the second special, the cost is $25 for the first day and $5 for each additional day:

We need to find the value of x where both costs are equal:

Subtract 2x from both sides:

Subtract 25 from both sides:

Divide both sides by 3:

Thus, Farid wants to rent the car for 5 additional days.

Answer: The answer is B - 95.

Answer: A. [tex]=105^{\circ}[/tex]

Step-by-step explanation:

Given: Circle with center O , having two congruent arcs as :-

[tex]\overarc{WX}\cong\overarc{YZ}\\\\\angle{XOW}=105^{\circ}[/tex]

We know that " If two arcs of a circle are congruent then their corresponding central angles are congruent".

[tex]\angle{XOW}\cong\angle{YOZ}\\\\\Rightarrow\ \angle{YOZ}=105^{\circ}[/tex]

Hence, the measure of [tex]\angle{YOZ}=105^{\circ}[/tex].

Answer:

29/50

Step-by-step explanation:

58/100 simplified is 29/50

Step-by-step explanation:

The formula for percent change is

change/original.

So let's subtract 17 from 55 to find the change. 55-17=38

This is the change. Now we divide it by the original, 17.

38/17=2.235294

We're not done yet! We have to move the decimal point over to the right 2 spaces to make it a percentage. So, the percentage increase is

about 223.53 percent

====================================================

Explanation:

The variable b is the placeholder for the original price, aka price before discount.

We discount by 25% meaning we don't pay that 25% but instead pay the remaining 75%

Therefore the expression 0.75*b represents the final price after the discount. We're told this price is $1.50 so that is how I'm getting the answer to be 1.50 = 0.75b

----------------------------

Extra info:

To solve this equation for b, you would divide both sides by 0.75 to undo the multiplication that is happening.

1.50 = 0.75b

1.50/0.75 = 0.75b/0.75 .... dividing both sides by 0.75

2.00 = b

b = 2.00

So the original price before discount was $2.00; note how 25% of this is 0.25*2.00 = 0.50 which is the amount we save and the amount we have left is 2.00 - 0.50 = 1.50 which is the proper price after discount we want.

Answer:

y = 3x - 1

Step-by-step explanation

We manipulate the scatter plot feature in Ms. Excel then we simply add the linear trend line displaying the equation on the chart.

The excel output is attached below.

The relation exhibited by the data set is y = 3x - 1; given the value of x, the value of y is obtained by multiplying x by 3 and subtracting 1 from the result.

Answer:

4

25x4=100%

1x4=4

To solve the problem we must know about Percentage.

25% of 4 is equal to 1.

A percentage is a way to describe a part of a whole. such as the fraction [tex]\dfrac{1}{4}[/tex] can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given information,

Let's assume that the number is x.

We know that when the percentage symbol is removed the number is divided by 100. so,

25% = [tex]\bold{\dfrac{25}{100}}[/tex]

Dividing the numerator 25 And the denominator by 25,

25% = [tex]\bold{\dfrac{1}{4}}[/tex]

Now, to get a percentage of any number simply multiply the number by the fraction(or decimal) form of the percentage value. So, here we will multiply the number 'x' to [tex]\bold{\frac{1}{4}}[/tex] (fraction form of 25%) to get 1.

[tex]x \times 25\% = 1\\x \times \dfrac{1}{4} = 1\\\\x = 4[/tex]

Hence, 25% of 4 is equal to 1.

Learn more about Percentage:

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Answer:

[tex]22-8\sqrt{5}[/tex]

Step-by-step explanation:

Since all the answer choices arent visible, i will directly give the answer.

We will use the distributive property in expanding, which is [tex](a+b)(c+d)=ac+ad+bc+bd[/tex]

So we have:

[tex](2\sqrt{5}-4 )(3\sqrt{5} +2)\\=(2\sqrt{5})(3\sqrt{5} )+2(2\sqrt{5} )-4(3\sqrt{5} )-4(2)\\=6\sqrt{5} \sqrt{5}+4\sqrt{5}-12\sqrt{5}-8\\=6(5)+4\sqrt{5}-12\sqrt{5}-8\\=30+4\sqrt{5}-12\sqrt{5}-8\\=22-8\sqrt{5}[/tex]

Note: we have used the radical property  [tex]\sqrt{a}\sqrt{a}=a[/tex] here

Answer:

22 - 8√5

Step-by-step explanation:

(2√5 - 4)(3√5 + 2)

= 2√5(3√5 + 2) - 4(3√5 + 2)

= 6√(5×5) + 4√5 - 12√5 - 8

= 6√25 + 4√5 - 12√5 - 8

=6×5 + 4√5 - 12√5 - 8

=30 - 8 + 4√5 - 12√5

= 22 - 8√5

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

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:

i believe its 20 times larger

Answer:

B

Step-by-step explanation:

Note that [tex]\sqrt{-1}[/tex] = i

[tex]\sqrt{-2}[/tex] = [tex]\sqrt{2(-1)}[/tex] = [tex]\sqrt{2}[/tex] i

[tex]\sqrt{-18}[/tex] = [tex]\sqrt{9(2)(-1)}[/tex] = 3[tex]\sqrt{2}[/tex] i

Thus the sum is

[tex]\sqrt{2}[/tex] i + 3[tex]\sqrt{2}[/tex] i = 4[tex]\sqrt{2}[/tex] i → B

Answer:

Step-by-step explanation:

3x + 4y = 8

4y = 8 - 3x

y = 2 - (3/4)x

So the slope of the given line is -(3/4).

Final answer:

The slope of the line represented by the equation 3x + 4y = 8 is -3/4. We found this by rearranging the equation into slope-intercept form, y = mx + b, and identifying the coefficient of x as the slope.

Explanation:

To find the slope of the line represented by the equation 3x + 4y = 8, we first need to rearrange the equation into the slope-intercept form, which is y = mx + b, where m represents the slope of the line, and b represents the y-intercept. Let's solve for y:

The slope-intercept form of the line is y = (-3/4)x + 2, so the slope is -3/4. This means for every increase of 1 on the horizontal axis (x), there is a decrease of 3/4 on the vertical axis (y).