MATHEMATICS HIGH SCHOOL

Is the number ���12/4 rational

Answers

Answer 1
Answer: Yes because 

12/4 is 3

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What is the answer 3-5+3-6+7-23+67=?

Can you help me with this question please?

Answers

Answer:

(1, -3)

Step-by-step explanation:

You can see where the two lines intersect - that's the solution.

The length of a rectangle is 5 cm longer than twice the length of the width. If the are of the rectangle is 403 square centimeters, what is the width?

Answers

You could set up a system of equations and solve for that, and you 2 equations that you would use would be:
x=2y+5
xy=403
(x = length)
(y = width)
But for this problem, we can notice that:
we need 2 numbers that will multiply together and equal EXACTLY 403, and then they have to be in a somewhat similar range, because the larger number is only twice the smaller, plus a few. So, all we need to do is find 2 numbers that multiply to 403 that are within a few numbers. It turns out that the only two whole numbers that multiply to 403 are
31
and
13
Test them in either equation that is listed at the top, and they work. The question is asking for the width, and because the width doubled plus 5 equals the length, that means that the width will be the smaller number. Therefore, the width is 13 cm.

Find f(a-2) when f(x)=x^2-1

I forgot how to do these so please show all steps

Answers

f(a-2)=(a-2)^2-1=a^2-4a+4-1=a^2-4a+3

Samir buys x cans of soda at 30 cents each and (x+4) cans of soda at 35 cents each. The total cost was $3.35. Find x

Answers

An equation is formed of two equal expressions. The value of x is 3.23.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The cost of x cans can be written as =x * 0.30

The cost of (x+4) cans can be written as,

(x+4) * 0.35\n= 0.35 x+ 1.4

Now, the total cost of the cans is given to us like $3.35, therefore, the value of x can be written as,

(0.30x) + 0.35x+ 1.4 = 3.35\n\n0.65x = 3.5-1.4\n\nx = (2.1)/(0.65)\n\nx = 3.23

Hence, the value of x is 3.23.

Learn more about Equation:

brainly.com/question/2263981
0.30x is the cost of the first type of soda. 0.35(x+4) is the cost of the second type of soda. Put these into an equation looking like:

Cost of Soda A + Cost of Soda B = Total Cost
0.30x + 0.35(x+4)=3.35 --> Expand 0.35(x+4)
0.30x + 0.35x + 1.4 = 3.35 --> Add the x's and subtract 1.4
0.65x = 1.95 --> Divide by 0.65
x = 3

Samir buys 3 cans of soda at 30 cents each and 7 (3+4) cans of soda at 35 cents each. Samir buys a total of 10 cans of soda.

What are the coordinates of the vertex for f(x) = x2 + 4x + 10? (1 point) (−2, 2) (2, 2) (−2, 6) (2, 6)

Answers

You have to complete the square to get it into vertex form. Do this by setting the function equal to zero and at the same time moving the constant over to the other side of the equals sign so you have this: . Now we can complete the square on the polynomial by taking half the linear term, squaring it, and adding it to both sides. Our linear term is 4. Half of 4 is 2, and 2 squared is 4, so we add 4 to both sides: and simplify to get . In this process we have created a perfect square binomial on the left, which happens to be . Now move the -6 back over by addition to get . The vertex is found at (-2, 6), the third choice down.

Answer:

A or C

Step-by-step explanation:

x = x2 + 4x + 10

x = 6x + 10

-5x = 10

x = -2

Solve by using the quadratic formula.
15x^2 - 1 = 2x

Answers

15x^2-1=2x\n\n15x^2-2x-1=0\n\na=15;\ b=-2;\ c=-1\n\n\Delta=b^2-4ac\to\Delta=(-2)^2-4\cdot15\cdot(-1)=4+60=64\n\nx_1=(-b-\sqrt\Delta)/(2)a;\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=√(64)=8\n\nx_1=(2-8)/(2\cdot15)=(-6)/(30)=-(1)/(5);\ x_2=(2+8)/(2\cdot15)=(10)/(30)=(1)/(3)
15x^2 - 1 = 2x \n\n15x^2-2x - 1 = 0\n \na=15, \ \ b=-2 , \ \ c=-1 \n \n\Delta =b^2-4ac = (-2)^2 -4\cdot 15 \cdot (-1) = 4+60=64 \n \nx_(1)=(-b-√(\Delta) )/(2a)=(-(-2)-√(64))/(2\cdot 15 )=( 2-8)/(30)=(-6)/(30)=- (1)/(5)\n \nx_(2)=(-b+√(\Delta) )/(2a)=(-(-2)+√(64))/(2\cdot 15 )=( 2+8)/(30)=(10)/(30)= (1)/(3)
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