How to solve this question? Adding algebraic fractions

7 x² + 7 y² - 28 x + 42 y - 35 = 0 /: 7

x² + y² - 4 x + 6 y - 5 = 0

( x² - 4 x + 4 ) + ( y² + 6 y + 9 ) - 4 - 9 - 5 = 0

The equation in the standard form is:

( x - 2 )² + ( y + 3 )² = 18

The center is at the point ( 2, - 3 ).

Its radius is: √18 = 3√2 units.

Answer:

A. (x - 2)^2 + (y + 3)^2 = 18.

B. (2, -3)

C. 3(2^(1/2))

Step-by-step explanation:

The equation of this circle in standard form is (x - 2)^2 + (y + 3)^2 = 18. The center of the circle is at the point (2, -3), and its radius is 3(2^(1/2)) units.

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto 3=-25(-5)+b[/tex]

[tex]\\ \sf\longmapsto 3=125+b[/tex]

[tex]\\ \sf\longmapsto b=-122[/tex]

Equation of the line

[tex]\\ \sf\longmapsto y=-25x-122[/tex]

Answer:

6 hours.

Step-by-step explanation:

This is directly proportional, meaning if you multiply one side by a number, you multiply the other side by the same number. For the ratio 50:4, you would have to multiply 1.5 to 50 to get 75 miles, so you would also have to multiply 4 by 1.5. This would get you 6 hours.

Answer:

  f(x) = 3x² -x +4

Step-by-step explanation:

Use (x+1) for x and simplify.

  f((x+1) -1) = 3(x +1)² -7(x +1) +8

  f(x) = 3(x² +2x +1) -7x -7 +8

  f(x) = 3x² -x +4

Answer:

The answer for this question would be 1.5 goes to the top of 1. Absoute value of -4.5 goes to the bottem of -4 . -2 goes on the -2 point . oppsite of 4 is -4.

Absoulte value of 1 is 1. 2.5 below sea level is under 2. Greatest common factor of 8 and 12 is 4. -(-3) is 3. Opposite of -5 is 5.

Step-by-step explanation:

Answer:

points:

1.5

4.5

-2

-4

1

-2.5

4

3

-3.5

5

Step-by-step explanation:

The number of vanilla cupcakes that Nina took to school is; 15 vanilla cupcakes

We are given;

Number of cake Nina bought for her friends = 25 cupcakes

There are two flavors namely chocolate and vanilla.

Now, we are told that for every 2 chocolate cupcakes she bought, she bought 3 vanilla cupcakes. Thus;

Fraction of chocolate cupcakes of the total = 2/(2 + 3) = 2/5

Fraction of vanilla cupcakes of the total = 3/5

Thus;

Number of the chocolate cupcakes she bought = 2/5 × 25 = 10 chocolate cupcakes

Number of the vanilla cupcakes she bought = 3/5 × 25 = 15 vanilla cupcakes

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Answer:

1. 7x

2. 8x - 1

3. 12 + 6x

4. 4 - 7x

5. 13x - 7

Step-by-step explanation:

Supposing 60 out of 100 scores are passing scores, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

60 out of 100 scores are passing scores, hence [tex]n = 100, \pi = \frac{60}{100} = 0.6[/tex]

95% confidence level

So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7[/tex]

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

A similar problem is given at https://brainly.com/question/16807970

Answer:

answer for question 7. 0.17×70 = $11.9

Answer:

Question 1:

bill = $70

tip percentage = 17%

so tip = 70x(17/100)

= 11.9$

Question 2:

total voters = 20500

supported voters percentage = 49%

so supported voters = 20500x(49/100)

= 10045

Question 3:

price = 154$

vat percentage =5%

so vat = 154x(5/100)

= 7.7$

Answer:

is he a business man or something

Answer:

1.25 Hours (1 hour & 15 minutes)

Step-by-step explanation:

14x = 5 + 10x  

Subtract 10x from both sides

4x = 5

Divide by 4 on both sides

x = 1.25

It will take 1 hour and 15 minutes (1.25 hours) for Mrs. Penn and Mrs. Smith to be paid the same amount.

Answer:

[tex]972 \pi \: {in}^{3} [/tex]

Step-by-step explanation:

volume of container

[tex] = \: \frac{4\pi {r}^{3} }{3} [/tex]

Answer:

-4 -3

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

An absolute function can be re-written as:

[tex]|x| = \left \{ {{x} \quad \ \ \ \text{if} \ x \geq \ 0\atop {-x} \quad \text{if} \ x < 0} \right.[/tex]

That is the form of a piecewise function.

Answer:

hlo georgia can you become my friend please

Answer:

[tex]c=26[/tex]

Step-by-step explanation:

The Pythagorean Theorem goes like this

[tex]a^{2}[/tex][tex]+b^{2}=c^2[/tex]

[tex]10 \cdot 10 =100[/tex]

[tex]24 \cdot 24=576[/tex]

[tex]100+576=676[/tex]

Now we find the square root of 676

[tex]\sqrt{676} =26[/tex]

[tex]side[/tex] [tex]c=26[/tex]

The interest rate which will save the most money if the balance on a loan from one month to the next is carried is the compound interest rate.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

While carrying the balance on a loan from one month to the next month, the compound interest rate is better, as it allows the funds to grow faster than the other rate mentioned.

Thus, the interest rate which will save the most money if the balance on a loan from one month to the next is carried is the compound interest rate.

Learn more about the compound interest here;

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Using the partial quotient method, it is found that:

When division is done applying the partial quotient method, consecutive subtractions are done with n groups of the divisor.

Each partial quotient is the number of groups, and the final quotient is the sum of the partial quotients.

In this problem, the divisor is as follows;

19.

The first subtraction is by 5700, which is 5700/19 = 300 groups of 19, hence the first partial quotient is of 300.

The second subtraction is by 1520, which is 1520/19 = 80 groups of 19, hence the second partial quotient is of 80.

The third subtraction is by 57, which is 57/19 = 3 groups of 19, hence the third partial quotient is of 3.

Then the final quotient is given as follows:

300 + 80 + 3 = 383.

The subtractions are given by the image at the end of the answer.

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It takes 14.4 minutes for the radiator fluid temperature to reach 60 degrees Fahrenheit

A function is said to be linear if it is a straight line graph and it can be represented by the equation:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the temperature in Fahrenheit of the radiator after t minutes.

Stanley’s car is Negative 18 degrees Fahrenheit. Hence b = -18. The  temperature of the fluid goes up 5.4 degrees Fahrenheit per minute. hence m = 5.4. The equation becomes:

y = 5.4x - 18

For the radiator fluid temperature to reach 60 degrees Fahrenheit:

60 = 5.4x - 18

5.4x = 78

x = 14.4 minutes

It takes 14.4 minutes for the radiator fluid temperature to reach 60 degrees Fahrenheit

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Answer:

Lin needs a 45-meter head start. Lin will travel 120 meters in 30 seconds, and Diego will travel 165 meters in 30 seconds.

Step-by-step explanation:

Answer:

t ≤ 6

Step-by-step explanation:

8t - 4 ≤ 44

I hope this helps!

Answer:

this is the correct answer happy

Ben forgot that finding the area is not using the diameter, but using the radius. The radius is 1/2 of the diameter, so r=4.5. Then you would use the formula [tex]\pi*r^{2}[/tex], which would be 3.14x4.5x4.5, which is 63.585 cm squared.

Answer:

true

Step-by-step explanation:

25% of 72

25/100 * 72

= 1/4 * 72

= 18

Answer:

Step-by-step explanation:

Answer:

For a;

The answer will be 3

For b;

The answer will be -4

Step-by-step explanation:

To find the gradient of the lines, you must pick 2 points on the line and then find  [tex]dy/dx[/tex]

I hope this helped!

Can I have brainliest?

Have a great day/night/afternoon!

- ❤ 7272033Alt ❤

Answer:

  A) 20 pounds

  B.2) (increasing) 60 pounds per minute

Step-by-step explanation:

A) The graph shows the container has 20 pounds in it at x=0 minutes.

__

B) The graph goes up to the right (is increasing).

At minute 0, the container has 20 pounds.

At minute 1, the container has 80 pounds.

The increase in one minute is 80-20 = 60 pounds per minute.

The initial amount of candy in the container is 2 pounds.  As time increases, the amount of candy in the container decreases at a rate of 1 pound per minute.

A.) The amount of candy in the container at 0 minutes is 2 pounds.

B1.) As time increases, the amount of candy in the container decreases. The rate at which the amount of candy is decreasing is 1 pound per minute.

B2.) As time increases, the amount of candy in the container increases. However, this option is not applicable in this case as the graph shows a decreasing trend.

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Answer:

5a. $1.50R + $7

5b. 14 rides

Step-by-step explanation:

5b. $28 - $7= $21/1.50= 14

He can go on 14 rides

If rides be x

The equation is

#B

Put y=28

Total 14 rides

Answer:

[tex] \frac{9}{2} [/tex]

[tex] \frac{13}{3} [/tex]