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2 years ago

Choose the equation below that represents the line passing through the point (−2, −3) with a slope of −6.

1 answer:

7 0

Y=mx+b where m=-6, x=-2, and y=-3. Substituting these values in would result in -3=(-6)(-2)+b, which would simplify to -3=12+b, and further to b=-15. This would mean the y intercept is equal to -15, or (0,-15). To check, (-6)*(-2)-15 is in fact equal to -3, thus allowing easy identification of a graph, which will cross the y axis at -15 and decrease in y-value by 6 with every increase in x-value.

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When do we say that the computed solution or root of a quadratic equation is extraneous?

scoray [572]

Answer:

raising both sides of the equation to a certain power in order to eliminate radicals may result in the creation of extraneous roots

Step-by-step explanation:

7 0

2 years ago

Need help with cross multiplying

saw5 [17]

So to solve for this, we need to set up proportional fractions, which I will help show you how to do.
First, if we are given an amount out of a total, we need to put it over x (if we are looking for the total). It looks like this:
12/x, 12 being the given number and x being the total.
If we are given the total but are looking for an amount, put the total at the bottom of the fraction (aka the denominator). It looks like this: x/16, 16 being the total amount and x being the amount out of the total.
We have a total of 40 test problems, so we can put our total at the bottom, x/40.
X is the amount of questions answered correctly (we are looking for x in the question).
We have answered 80% correct, so put 80% over 100 (100 being the total). It should look like this: 80/100.
Now we have our two fractions: x/40 & 80/100.
Set these up as an equation.
x/40 = 80/100.
Now this is where things may get tricky if you don't pay attention.
Multiply the numerator (the top number of a fraction) of x/40 by the denominator (the bottom number of a fraction) of 80/100.
Your product equation should look like this:
x times 100. This will give is 100x. Leave it at that.
Now, multiply the denominator of x/40 (the bottom number of the fraction) by the numerator (the top number of a fraction) of 80/100. It should look like this:
80 x 40. This will give us 3200.
Now set up our products as an equation.
100x = 3200.
To solve for x, divide both sides by 100.
3200/100 = 32.
x = 32.
I hope this helps and has taught you something!

4 0

3 years ago

Giving away 33 please help i suck at math

Harman [31]

D. (I used 3.14 as pi so my answer was a little off so I just went with the one closest to my answer)

8 0

2 years ago

Read 2 more answers

If Tis the midpoint of SU, findx. 8x + 11 127-1 S T U

DIA [1.3K]

Answer:

x=3

Step-by-step explanation:

Since T is the midpoint of SU, this means that ST is equivalent to TU.

3 0

3 years ago

Read 2 more answers

For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1000 and p is the unit price i

Liono4ka [1.6K]

Answer:

7 and 6 respectively

Step-by-step explanation:

Firstly, we have to solve the equations simultaneously.

2x + 7p = 56

3x - 11p = -45

Multiply equation I by 3 and ii by 2

6x +21p = 168

6x - 22p = -90

Subtract the second from first to yield:

43p = 258

p = 6

Insert this in equation 1 where we have 2x + 7p = 56

2x + 7(6) =56

2x + 42 = 56

2x = 14 and x = 7

The equilibrium price is 6 and the equilibrium quantity is 7

8 0

3 years ago