MATHEMATICS HIGH SCHOOL

A rectangular picture measuring 5 in. by 9 in. is surrounded by a frame with uniform width x. Write a quadratic function in standard form to show the combined area of the picture and fram

Answers

Answer 1
Answer: A=(5+2x)(9+2x)

A=45+10x+18x+4x^2

A=4x^2+28x+45

Answer 2
Answer: (x.x)-(5x9)= Combined area of the picture and frame. 

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MIDDLE SCHOOL

Solve the system of equations. (1 point) x + 3y = −1
2x + 2y = 6

a
(−4, 1)

b
(2, −1)

c
(4, −1)

d
(5, −2)

Answers

Answer:

Answer (d):  (5, -2)

Step-by-step explanation:

Let's use the substitution method.  Eliminate "x" in the second equation.  Solving the first equation for x, we get  x = -3y - 1.  Subbing this for x in the second equation, we get:

2(-3y - 1) + 2y = 6, or, after multiplying as indicated,

-6y - 2 + 2y = 6.

Combining like terms,

-4y = 8, so that y = -2.  If y = -2, then x is found from x = -3y - 1 (see above):

x = -3(-2) -1 = 5

Then the solution is (5, -2)  (Answer d)

HIGH SCHOOL

Strep throat is caused by Streptococcus bacteria. The amount of bacteria multiplies at a rate of 10^13 per 10^2 hrs. What is the total amount of bacteria present after 10^3 hour?

Answers

Answer: The total amount of bacteria present after hours is .

Explanation:

It is given that the Strep throat is caused by Streptococcus bacteria. The amount of bacteria multiplies at a rate of 10^13 per 10^2 hrs.

hours = bacteria

The amount of bacteria in one hours is,

The amount of bacteria after hours is,

Therefore, the total amount of bacteria present after hours is .

MIDDLE SCHOOL

Taylor saw an American alligator at a zoo that measures 12 11/12 feet long the record length of an American alligator is 19 1/6 feet long how much longer is the record alligator than the American alligator Taylor saw?

Answers

The difference in their length is 25/4 ft

Data;

  • Zoo Alligator = 12 11/12ft
  • Record Length = 19 1/6 ft

Conversion of Fractions from Mixed to Improper Fraction

To solve this problem, the first step we need to take is convert the mixed fraction into improper fraction.

Zoo Alligator

Record Length

To find the difference in length, we subtract the values

The Record Alligator is 25/4 ft longer than the Zoo Alligator.

Learn more on subtraction of fractions here;

brainly.com/question/13197173

MIDDLE SCHOOL

HELP!!!! Please?! Solve the equation below, and check the solution. -6x+7=79 the solution set is? BRAINLIEST ANSWER

Answers

Alright so, in order to solve an equation, you must have the unknown by itself.

So, we first subtract 7 from both sides and get a new equation.

-6x = 72

Now we divide by -6 so that x is by itself.

x = -12.

Now, -12 is a *possible* solution to the equation.  The way to find out is to check.  Checking the answer means "plugging in" the number into the equation, and seeing if it solves. so.


-6 * -12 + 7 = 79

72 + 7 = 79

79 = 79


So, since the answer checked out, -12 is a solution to the equation.


Hope this helps.

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