Solve the simultaneous equation
y= 9 - x
y= 2x² + 4x + 6

Answer:

1 - 1.5

2 - 3.9375

3 - 3

4 - 1.62962963

5 - 2.83333

6 - 4.05555556

7 - 8

8 - 1.555555556

9 - 6.4

10 - 6

11 - 1.5

12 - 18

Answer:

7 inches

Step-by-step explanation:

Volume 1 - 300 pages 2 inches

back cover 1/4 inch

Volume 2 - front cover 1/4 inch

300 pages 2 inches

back cover 1/4 inch

Volume 3 - front cover 1/4 inch

300 pages 2 inches

The word "Houston" can have a maximum of 2520 permutations using all it's letters.

As per the question statement, we are provided with a word: HOUSTON.

And we are required to calculate the total number of permutations that can be formed using all the letters of it.

To solve this question, first we will need to determine the number of letters in our concerned word, which in this case is 7, and then number of repeated letters, which is 2, since the letter "O" is repeated once.

Therefore, the total number of permutations that can be formed using all the letters of the word HOUSTON = [(7!)/(2!)]

                                                         = (7 * 6 * 5 * 4 * 3)

                                                         = 2520

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Answer:

the answer is D. (-9, -3)

[tex]{ \green{ \tt{option \: (d)}}}[/tex]

Step-by-step explanation:

Given,

[tex]{ \tt{2y + x = - 15}} \: { \to} \: { \tt {eq}^{n} (1)}[/tex]

[tex]{ \tt{x = 3y}} \: { \to} \: { \tt{ {eq}^{n} (2)}}[/tex]

Substitute the value of eqⁿ (2) in (1) then,

[tex]{ \tt{2y}} \: + \: { \red{ \tt{3y}}} \: = - 15 [/tex]

[tex]{ \tt{5y = - 15}}[/tex]

Divide both sides by 5 then,

[tex]{ \tt{ \frac{5}{5}y = - \frac{15}{5}}} [/tex]

[tex]{ \red{ \boxed{ \tt{y = - 3}}}}[/tex]

Substitute the value of y in eqⁿ (2)

[tex]{ \tt{x = 3y}}[/tex]

[tex]{ \tt{x = 3( - 3)}}[/tex]

[tex]{ \red{ \boxed{ \tt{x = - 9}}}}[/tex]

Therefore, the value of (x,y) is (-9,-3)

Hence, option (d) is correct.

Answer:

x + y y added to 7. 7+ y. The sum of a and b a + b m more than n n + m ... y. 5 or y ÷ 5. The ratio of u to v u v or u ÷ v u separated into 4 equal parts.

Step-by-step explanation im just guessing so if its incorrect sorry:(

Answer: C

Explanation:

The range of a function is the set of all values of y that satisfy the function. On the graph, it is between the lowest value of y at the bottom and the highest value of y at the top. Looking at the graph, it extends to negative infinity at the bottom and the maximum value at the top y = 4

Thus, in interval notation,

Range = (- ∞, 4]

Answer:

Let p(x)=x

3

−4x

2

−2x+20

By factor theorem, (x+2) is a factor of p(x) if p(−2)=0.

∴ It is sufficient to show that (x+2) is a factor of p(x)

Now, p(x)=x

3

−4x

2

−2x+20

∴p(−2)=(−2)

3

−4(−2)

2

−2(−2)+20=−8−16+4+20=0

∴(x+2) is a factor of p(x)=x

3

−4x

2

−2x+20

The absolute value equation with the solutions -3.75 and 3.75 is:

|x| = 3.75

The general absolute value equation can be written as:

|x+ a| = b

And this can be rewritten into two equations, which are:

x + a = b

x + a = -b

In this case, we want to get an absolute value function such that the two solutions are -3.75 and 3.75, this is ratter trivial to do, we can write the next absolute value function:

|x| = 3.75

If we decompose this, we will get the two equations:

x = 3.75

x = -3.75

Which are the two solutions we wanted.

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Answer:

1:110

2:70

3:110

4:70

5:110

6:70

7:110

8;70



Step-by-step explanation:

lol i think its pretty simple

The maximum price Charlie and Linus are wiling to pay to enter each park is 10.5 dollars.

Charlie Brown and Linus are so excited for Halloween that they have planned trips to three different parks.

They are willing to pay no more than $40 to go to all of them.

Jones’ Corn Maze has an entry fee that is $4 less than double the amount of Tomilloso’s Pumpkin Patch entrance fee.

King’s Haunted House has an entry fee that is $2 more than Tomilloso’s Pumpkin Patch.

let

x = amount of Tomilloso’s Pumpkin Patch entrance fee

Therefore,  the inequality that represent the situation is as follows;

Jones’ Corn Maze an entry fee = 2x - 4

King’s Haunted House entry fee = 2 + x

Therefore,

2x - 4 + 2 + x + x ≤ 40

4x - 2 ≤ 40

add 2 to both sides of the inequality

4x - 2 + 2 ≤ 40 + 2

4x ≤ 42

divide both sides of the inequality by 4

4x  / 4 ≤ 42 / 4

x ≤ 10.5

Therefore, the maximum price they can pay is 10.5 dollars

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The average rate of change over the interval is 10 and it tells us about the slope

The definition of the function is given as

f(x) = 2.5xsquared + 3

Rewrite the function properly

So, we have the following equation

f(x) = 2.5x² + 3

The interval to calculate the average rate of change is given a

0 ≤ x ≤ 4

This can be represented as

[0, 4]

Further, rewrite as

[a, b] = [0, 4]

Where a = 0 and b = 4

Calculate f(a) and f(b)

So, we have

f(0) = 2.5(0)² + 3 = 3

f(4) = 2.5(4)² + 3 = 43

The average rate of change is then calculated as

Average rate = [f(b) - f(a)]/[b - a]

Substitute the known values in the above equation

So, we have

Average rate = [43 - 3]/[4 - 0]

Evaluate

Average rate = 10

The average rate is the slope of the function

This means that it represents the amount of change in the function with respect to the change in the input variables

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Buying from World Stationery shop would profit Gigi.

Given,

Gigi is going to buy 100 stickers.

Stickers4u - Pack of 25 stickers for £2.25

World Stationery - Pack of 10 stickers for £1.75

Buy 1 pack get 1 pack 1 free

Solution:

Cost of 1 sticker in Stickers4u = £2.25/25 stickers = £0.09

Cost of 1 sticker in World Stationery = £1.75/ 10 stickers = £0.175

Since it is mentioned, 'Buy 1 pack get 1 pack 1 free' in this shop, the total no of stickers one would get for the price would be doubled.

Hence,

Cost of 1 sticker in World Stationery would be = £1.75/ 20 stickers = £0.0875

On comparing the price per sticker of both the shops, we can say that

buying from World Stationery shop would profit Gigi.

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Answer:

the answer is shown below for the reduced fractional mixed number for 385 percentage

Step-by-step explanation:

Steps to Convert 375% to Fraction

Place the Percentage Value at the top over 100. The exact form of the fraction is 154. In the decimal form, the fraction can be written as 3.75. In the Mixed Number form, the fraction can be written as 3 .34.

Answer:

120

Step-by-step explanation:

x + the angle = 180 because it makes a line

we know from the picture that the triangle is equilateral so the angle has to be 60

so 180 = x + 60 and solve for x

40 gallons

[tex]\frac{525}{25} \times 40=840[/tex] miles

Gas Mileage

[tex]\frac{525}{25}=21[/tex] miles per gallon

Answer:

B x = 3 or -12

Step-by-step explanation:

(btw this / is a fraction sign and this ^ is the power of sign)

Let's solve your equation step-by-step.

x^2+9x−36=0

For this equation: a=1, b=9, c=-36

1x^2+9x+−36=0

Step 1: Use quadratic formula with a=1, b=9, c=-36.

x= −b±√b^2−4ac/2a

x= −(9)±√(9)2−4(1)(−36)/2(1)

x= −9±√225/2

= x= 3 or x= -12

10.
A gallon = 4 quarts
4 quarts = 4 x 2 = 8 pints.
8 pints = 8 x 16 = 128 (ounces)

So, a gallon equals 128 ounces.

11.
Generally, 2 cups = 1 pint.
-> 4 cups = 2 pint = 1 quart

So, he should (probably) use the entire quart.

12.
Convert all the mixed numbers to fractions, mk.

14(7/9) + 6(5/9)
= 14+6(7/9+5/9) = 20(12/9) = 64/3.

13. 15(11/16) + 21(9/16) = 36(11/16+9/16) = 36(20/16) = 149/4

14. 7(1/2) + 5(1/2) = 12(1/2+1/2) = 13( = 13/1)

15. 17(3/4) - 4(1/4) = 17-4(3/4-1/4) = 13(1/2) = 27/2

16. 23(5/8) - 12(3/8) = 23-12(5/8-3/8) = 11(2/8) = 45/4

17. 27 - 6/8 = 216/8 - 6/8 = 210/8 = 55/2.

Please recheck and if you spot anything wrong tell me.

Step-by-step explanation:

M = (0, 2), and it lies on the y-axis, because the x-coordinate is 0.

by the way, the first 2 answer options are correct statements too, they are just not specifying the actual midpoint.

Answer:d

Step-by-step explanation:edge2023

Answer:

the answer to the problem is A 27

Step-by-step explanation:

The greatest number of identical packages that Shaquira can make is 2.

Given data:

Shaquira has made 86 chocolate chip cookies and 42 sugar cookies.

Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.

To find:

The greatest number of identical packages that Shaquira can make

In order to find the greatest number of packages, we find the HCF of 86 and 42.

Write down this part from the attached image.

Here, 86 = 1 × 2 × 43, 42 = 1 × 2 × 21

Thus HCF = 1 × 2 = 2

So, Shaquira can make 2 identical packages the most.

Each package will have

(86 ÷ 2) = 43 chocolate chips and

(42 ÷ 2) = 21 sugar cookies.

For questions like these you would need to find out the Least Common Multiple, or L.C.M

If Camryn plays the trumpet and the flute today, and they both are in intervals of 11 and 3 days, you would need to find the LCM for 11 and 3.

LCM:

11 = 11, 1

3 = 3, 1

As they both have no common factors, and are prime numbers, multiply 11 x 3 = 33.

So, the least amount of days required for the trumpet and the flute to be played together is 33 days. And the interval between practising them both on the same day is 33 days.

Hence, the number of days until Camryn practices the trumpet and the flute on the same day is 33 days.

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Answer:

ST = 63

TU = 63

SU = 126

Step-by-step explanation:

Given that T is the midpoint...

Thus TS = ST and SU = 2ST =2TU

from equation...

9n = 5n + 28

9n - 5n = 28

4n = 28

n = 7

Put the value of n in the equation...

ST = 9n

= 9 x 7

= 63

SU = 9n + 5n + 28

= (9 x 7) + (5 x 7) + 28 = 126

Hope this helps!

If In a class of 30 students, 13 have a brother and 8 have a sister. There are 3 students who have a brother and a sister. The probability that a student who has a sister also has a brother is: 3/10.

Given data:

Total number of student = 30

Brother = 13

Sister = 8

Brother and sister = 3

Now let determine the probability that  a student has brother and sister using this formula

P ( S n B ) = Brother and sister  / Total number of student

Let plug in the formula

P ( S n B ) = 3/30

Therefore we can conclude that 3/30 is the probability.

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Answer:

3/8

Step-by-step explanation:

Answer:

Reflection

Step-by-step explanation:

A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to mirror the other figure when they are all equally spaced apart from one another. The reflected picture should have the same size and form as the original, but it faces the opposite way. The opposing signs are created from the coordinates. Changes in posture during contemplation may also result in translation. Pre-image and image are terms used to refer to the same thing in this context.

The expression that is equivalent to the number 2.68 is (b) two and seventeen twenty fifths

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

Number = 2.68

Expand the number using the addition operator

So, we have the following representation

Number = 2 + 0.68

Express 0.68 as a fraction

This gives

Number = 2 + 68/100

Simplify the fraction

So, we have the following representation

Number = 2 + 17/25

This implies that

Number = two and seventeen twenty fifths

Hence, the equivalent of 2.68 is (b) two and seventeen twenty fifths

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Answer:infinite solution

Step-by-step explanation:

Answer:

Slope m = 2

Step-by-step explanation:

If both Santi and Vlado drove for the same amount of time with Santi driving at 75% of Vlado's average speed, and they covered 1304 miles in 24 hours, then Santi had driven for approximately 559 miles.

As per the question statement, Santi and Vlado drove together from New York to New Orleans. Both of them drove for  the same amount of time with Santi driving 75% as quickly as Vlado, and it took them 24 hours to complete the 1304 miles journey.

We are required to calculate the approximate number of miles, that Santi drove during their trip.

Since given that, Both of them drove for  the same amount of time and it took them 24 hours to complete the 1304 miles journey, therefore, both Santi and Vlado drove for (24/2) = 12 hours each.

Now, let us consider that Vlado drove at an average speed of "v" miles/hour.

Then, Santi would have driven at a average speed of [(75/100)v] m/h

                                                                                      = (0.75v) m/h

                                                                                      = 0.75V miles/hour

[Since Santi drove 75% as quickly as Vlado]

Now as we know that, [(speed * time) = distance], applying the same formula to the velocities and driving times of Santi and Vlado, we get,

[{(12 * v) + (12 * 0.75v)} = 1304]

Or, [(12v + 9v) = 1304]

Or,(21v = 1304)

Or, v = [(1304/21)]

Or, (v = 62.095 miles/hour)

Or, (v ≈ 62.1 miles/hour)

That is, Vlado drove at an average speed of 62.1 miles per hour,

And, Santi drove at an average speed of (62.1 * 0.75) miles per hour

                                                                 = (46.575) miles per hour.

Therefore, Santi drove a total of (46.575 * 12) = 558.9 miles ≈ 559 miles,

as he drove at an average speed of 46.575 miles per hour, for 12 hours.

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