1 + 1 in mathematics

zaharov [31]

Answer:

y = 9x-8

Step-by-step explanation:

Find y values for x= -3 and x = 3. These will come out to -35 and 19 respectively.

Plug these numbers into the rise/run equation for slope m (y2-y1)/ (x2-x1). Plugging values in and simplifying you will get 54/6, which reduces to 9. This is your m value.

Apply your m value to x = 3 going backwards (x = 2 gives a y value of 10, 1 gives 1, and 0 gives -8). This will give you a y intercept of -8. This is your b value.

Plug the slope and y intercept into the mx + b equation. This will give you y = 9x-8.

There you go!

3 0

3 years ago

What is the length of side x,y, and z

Bezzdna [24]

Answer:

X = $\sqrt{2}$ , Y = 3 , Z = 10

Step-by-step explanation:

using Pythagoras' identity in all 3 right triangles

X² = 1² + 1² = 1 + 1 = 2 ( take square root of both sides )

X = $\sqrt{2}$

middle triangle

Y² = 1² + X² = 1 + ( $\sqrt{2}$ )² = 1 + 2 = 3

triangle on right

Z² = 1² + Y² = 1 + 3² = 1 + 9 = 10

4 0

2 years ago

Extended Problems, Extraneous Solutions

diamong [38]

Answer:

1a. 2 is the solution

1b. -3 is because square root of 1 doesn't equal -1.

1c.-3

Step-by-step explanation:

1.

$(x + 2 = \sqrt{3x + 10}$

Square both sides

$(x + 2) {}^{2} = 3x + 10$

Remeber perfect square Rule

$(x + y) {}^{2} = {x}^{2} + 2xy + {y}^{2}$

So now we got

$x {}^{2} + 4x + 4 = 3x + 10$

${x}^{2} + x + 4 = 10$

${x}^{2} + x - 6 = 0$

Factor into binomial.

$(x + 3)(x - 2) = 0$

So our solution is 3 or 2. However, let's check our work.

$- 3 + 2 = \sqrt{3( - 3) + 10}$

$- 1 = \sqrt{1}$

However square root of 1 is 1. It could be 1 but in Math, We only take the principal square root which is positive always. So -3 isn't a solution.

So let try 2.

 $2 + 2 = \sqrt{3(2) + 10} = 4 = \sqrt{16} = 4 = 4$ 

So this is indeed the solution.

Make up equation for 2 and 3. Ask me if you need help.

5 0

2 years ago

Reba put $61 into a CD that pays 6.5% interest compounded semi-annually. According to the Rule of 72, approximately how long wil

Nina [5.8K]

The Rule of 72 is a shortcut method to find the number of years to double your investment. This is only an estimation. This can be done by dividing 72 by the annual interest rate.

However, you are given a nominal rate since it is compounded annually. Let's convert this by this equation:

annual rate = (1+i/m)^m - 1, where m is the number of periods in a year. Thus, m=2

annual rate = (1 + 0.065/2)^2 -1 = 6.61%

Applying Rule of 72,
72 ÷ 6.61% = 10.89

This is where I found a problem. The answer here just directly divided 72 by 6.5% which will equal to 11.1 years. This is not accurate, since the given interest is compounded semi-annually. That is not an annual interest rate.

Nevertheless, the answer is still close to letter A.) 11.1 years.

7 0

4 years ago

Which expressions are equivalent to -7z + (-2.5) + 3.5z +4y -4.5

alukav5142 [94]

Answer:

i think it would be negative6.5z

Step-by-step explanation:

bc thats how it adds up

6 0

3 years ago