MATHEMATICS HIGH SCHOOL

Which numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10), if any, will solve this equation?2x + 3 = 5x - 3

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

2(2)+3=7

5(2)-3=7

Answer 2

Answer:

Answer:

Step-by-step explanation:

2 multiplied by 2 is 4+3=7 and 5x2=10-3=7

Related Questions

How can I do this exercice (n+1)!/(n+2)! ?
In the circle below, F is the center, GI is a diameter, and m
Carmen is using the quadratic equation (x + 15)(x) = 100 where x represents the width of a picture frame. Which statement about the solutions x = 5 and x = –20 is true?
I need help right away with the next problem.
What is bigger 0.09 or 0.089

Locate the foci of the ellipse. Show your work.

x^2/36+y^2/11=1

Answers

$a^2 - c^2 = b^2; where \ a = 6, b = \sqrt11 \n 36 - c^2 = 11 \n c^2 = 36-11=25 \n c= \pm 5$
Therefore, foci = (-5, 0) and (5, 0)

Divide the fractions and simplify the answer 60 / 2 2/3

Answers

2 2/3 as a decimal is 2.66666667. 60 divided by 2.66666667 is 22.5.
As a fraction, the answer will be 22 5/10

Please mark my answer as the brainliest answer, I'd really appreciate it, thanks!

Hey there, make 60 a fraction, 60=60/1, 2 2/3 as an improper fraction is 8/3. Now, we have 60/1÷8/3, change the ÷ sign into a × sign. Flip 8/3 into 3/8, now we have 60/1×3/8. 60×3=180 and 1×8=8. Now, we have a fraction of 180/8. Then, we simplify 180/8. The GCF of 180 and 8 is 4 so we divide by 4, 180÷4=45 and 8÷4=2, So, 180/8 simplified is 45/2, 45 is bigger than 2 so we make 45/2 as a mixed number, 45/2 as a mixed number is 22 1/2. Therefore, 60 ÷ 2 2/3 = 22 1/2

C(x) = 0.000002x3 − 0.03x2 + 400x + 80,000 where C(x) denotes the total cost incurred in producing x sets. Find the level of production that will yield a maximum profit for the manufacturer. Hint: Use the quadratic formula

Answers

Answer:

The producer will have maximum profit when x is 5000.

Step-by-step explanation:

Given C(x) = 0.000002x³ - 0.03x² + 400x + 80000

To find the level of production that will yield the maximum profit for the manufacturer, firstly, we differentiate C(x) to obtain C'(x), we then set the resulting quadratic expression to zero and solve. Whichever of the two values obtained from the quadratic equation will be tested to see what we want to find.

Differentiate C(x)

C'(x) = 3(0.000002)x² - 2(0.03)x + 400

= 0.000006x² - 0.06x + 400

Set C'(x) = 0

0.000006x² - 0.06x + 400 = 0

Solve using quadratic formula.

x = [-b ± √(b² - 4ac)]/2a

a = 0.000006

b = -0.06

c = 400

x = [-(-0.06) ± √((-0.06)² - 4(0.000006 × 400)]/2(0.000006)

= [0.06 ± √(0.0036 - 0.0096]/0.000012

= (0.06/0.000012) ± i√(0.006)/0.000012

= 5000 ± 6454.97i

x = 5000 + 6454.97i

x = 5000 - 6454.97i

What is the area of a triangle with vertices at (0, −2) ,(8, −2) , and (9, 1) ?
Enter your answer in the box

( there is no provided image )

Answers

The area of a triangle with vertices at (0, −2) ,(8, −2) and (9, 1) is 12 square units

Solution:

Given, vertices of the triangle are A(0, -2), B(8, -2) and C(9, 1).

We have to find the area of the given triangle.

The area of triangle when vertices are given is:

$\text { Area of triangle }=(1)/(2)\left|x_(1)\left(y_(2)-y_(3)\right)+x_(2)\left(y_(3)-y_(1)\right)+x_(3)\left(y_(1)-y_(2)\right)\right|$

$\text { Where, }\left(x_(1), y_(1)\right),\left(x_(2), y_(2)\right),\left(x_(3), y_(3)\right) \text { are vertices of the triangle. }$

Here in our problem,

$\left(\mathrm{x}_(1), \mathrm{y}_(1)\right)=(0,-2),\left(\mathrm{x}_(2), \mathrm{y}_(2)\right)=(8,-2) \text { and }\left(\mathrm{x}_(3), \mathrm{y}_(3)\right)=(9,1)$

Now, substitute the above values in the formula:

$\text { Area of triangle }=(1)/(2)\left|x_(1)\left(y_(2)-y_(3)\right)+x_(2)\left(y_(3)-y_(1)\right)+x_(3)\left(y_(1)-y_(2)\right)\right|$

$\begin{array}{l}{=(1)/(2)|0(-2-1)+8(1-(-2))+9(-2-(-2))|} \n\n {=(1)/(2)|0+8(1+2)+9(2-2)|} \n\n {=(1)/(2)|0+24+0|} \n\n {=(24)/(2)} \n\n {=12 \text { square units }}\end{array}$

Hence, the area of the triangle is 12 square units.

What is the x-intercept of the line with this equation 8x−13y=16 enter your answer in the box. (?, 0)?

Answers

The x-intercept of the line with the equation 8x−13y=16 is x=2.

The given equation is 8x−13y=16.

What is the x-intercept?

To find the x-intercept we set y = 0 and solve the equation for x. This is because when y=0 the line crosses the x-axis. When an equation is not in y = mx + b form, we can solve for the intercepts by plugging in 0 as needed and solving for the remaining variable.

Put y=0 in 8x−13y=16 and find x-intercept.

That is, 8x-13(0)=16

⇒ 8x=16

⇒ x=2

Therefore, the x-intercept of the line with the equation 8x−13y=16 is x=2.

To learn more about the x-intercept visit:

brainly.com/question/14180189.

#SPJ5

8x-13y=16
Let y=0,
8x-13(0)=16
8x-0=16
8x=16
x=2
x-intercept: (2,0)

Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t years at r rate. She transforms the equation to isolate P : P = . Using this formula, what is the amount of money, P, that will generate $20 at a 5% interest rate over 5 years?

Answers

Answer: $80

Step-by-step explanation:

Given: The simple interest generated after 5 years = $20

The rate of interest =5%

In decimal, the rate of interest (r)= 0.05

Let P be the principal amount, which Tahmar invested.

The given formula to find simple interest is

$I=Prt\n\n\Rightarrow P=(I)/(rt)\n\n\text{On substituting the given values, we have}\n\n\Rightarrow P=(20)/(0.05*5)\n\n\Rightarrow P=80$

Hence, the principal amount which he invested = $80

The answer is $80 for this question.

Other Questions

At a competition with 5 runners, 5 medals are awarded for first place throughfifth place. Each medal is different. How many ways are there to award themedals?Decide if the situation involves a permutation or a combination, and then findthe number of ways to award the medals.

At a high school, the probability that a student takes a science class and a history class is 0.44. The probability that a student takes a science class is 0.68, and the probability that the student takes a history class is 0.56. What is the probability (rounded to the nearest hundredth) that a student takes a history class given that the student is taking a science class?0.44 0.65 0.30 0.79

If n ≠ 0, which of the following must be greater than n?I 2n II n² III 2 - n

A mixture of 30 pounds of candy sells for $1.10 a pound. The mixture consists of chocolates worth $1.50 a pound and chocolates worth 90¢ a pound. How many pounds of the $1.50 chocolate were used to make the mixture?A)15 B)10 C)12