Use the least commom denominator of 10 and 15 to solve 2/10+ 7/15

Answers

Answer 1

Answer: The least common denominator of 10 and 15 is 30. It's easiest to use trial and error to find the LCD. In this case, just multiply both numbers by 2 and see if that works. Since 15 doesn't go into 20, I tried multiplying 15 by 2 instead, and got 30, which is divisible by 2. If that doesn't work, move on to multiplying them by 3, then 4 four, and so on. However, in this case, it did work, so, since you multiplied 15 by two to get 30, multiply 7 by two to get the fraction 14/30. Then, since you multiplied 10 by 3 to get 30, multiply 2 by 3 to get 6/30. Then, add the two together to get 20/30 and simplify the fraction to 2/3.

2/10 + 7/15 Given.
6/30 + 14/30 LCD.
20/30 Add.
2/3 Simplify.

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Which of the following represents the graph of f(x) = 4x − 2? graph of exponential rising up to the right, through the point 0, negative 3
graph of exponential rising up to the right, through the point 0, 1
graph of exponential rising up to the right, through the point 0, 3
graph of exponential rising up to the right, through the point 0, negative 1

Answers

The graph of the function
f(x) = 4^x - 2
has a constant value from negative infinity to negative 3 and then increases exponentially to positive infinity

Therefore, the answer from the choices is:
graph of exponential rising up to the right, through the point 0, negative 3

Answer:

A If you are from FLVS

Step-by-step explanation:

If you are from FLVS it is A

Use Gauss-Jordan elimination to solve the following linear system.x – 6y – 3z = 4
–2x – 3z = –8
–2x + 2y – 3z = –14

Answers

$\begin{cases}x-6y-3z=4&(1)\n-2x-3z=-8&(2)\n-2x+2y-3z=-14&(3)\end{cases}$

First eliminate $y$ by adding $(1)$ to three times $(3)$ . This gives

$(x-6y-3z)+3(-2x+2y-3z)=4+3(-14)\iff -5x-12z=-38$

This reduces the system of one of two equations and two unknowns:

$\begin{cases}-5x-12z=-38&(1)^*\n-2x-3z=-8&(2)^*\end{cases}$

You can eliminate $z$ by subtracting $(1)^*$ and four times $(2)^*$ to get

$(-5x-12z)-4(-2x-3z)=-38-4(-8)\iff3x=-6\implies x=-2$

Back-substitute to find $z$ and $y$ . You should end up with $(x,y,z)=(-2,-3,4)$ .

Answer:

(-2,-3,4)

Step-by-step explanation:

Evaluate 5y1-y0 if y=-8

Answers

Answer:

-40

Step-by-step explanation:

5*(-8)*1-(-8*0)

-40+0

-40

A similarity transformation maps polygon ABCD to polygon PQRS. If the length of is 6 and the length of the corresponding side, , is 12, what is the scale factor of dilation?

Answers

6 to 12
1/2

factor is 1/2

Answer:

0.5

Step-by-step explanation:

The sum of 3 consecutive even numbers is 42. The sum can be respresented by n+(n+2)+(n+4)=42. What does n represent?

Answers

Answer:

Step-by-step explanation:

n+(n+2)+(n+4)=42

3n+6=42

3n=42-6=36

3n=36

n=13

13+14+15=42

Enzo is making a scale drawing of the rectangle below.A rectangle has a length of 8 centimeters and width of 5 centimeters.

Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Which explains whether Enzo is correct?

Answers

Answer:

Enzo is not correct because he did not multiply the length and width by the same factor.

I do not think Enzo is not correct because he did not multiply the length and width by the same factor.

he is making a drawing of the rectangle below.

A rectangle has a length of 8 centimeters and width of 5 centimeters.

Suppose a new rectangle will have the length of 16 cm.

Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Enzo is not correct because he did not multiply the length and width by the same factor.

Answer:

Enzo is not correct because he did not multiply the length and width by the same factor.

Step-by-step explanation:

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