Answer:
x = -2
y = -1
(-2, -1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
y = x + 1
3x + 3y = -9
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 3x + 3(x + 1) = -9
- Distribute 3: 3x + 3x + 3 = -9
- Combine like terms: 6x + 3 = -9
- Isolate <em>x</em> term: 6x = -12
- Isolate <em>x</em>: x = -2
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = x + 1
- Substitute in <em>x</em>: y = -2 + 1
- Add: y = -1
<u>Step 4: Graph systems</u>
<em>Check the solution set.</em>
Answer:
Step-by-step explanation:
Use the normcdf( function on a basic calculator as follows:
normcdf(-1000, 9750, 12000, 4500). Result: 0.307. This is the area under the standard normal curve to the left of 9750.
But we want the area under the standard normal curve to the right of 9750, so we subtract this 0.307 from 1.000, obtaining the desired result: 0.693. This roughly corresponds with the last of the given possible answers, 69.15%.
6) 1.6 x 10^-4 = 0.00016
7) diameter of the sun
8) water molecule
9) grain of salt
Answer:
ft
Step-by-step explanation:
We know that the height of the object and the height of the shadow it casts are proportional. Therefore, if we let the length of the tree be
, we can set up the following proportion to solve for it:

Solving for
, we get:

(Cross-Products Property)
(Simplify)
(Divide both sides of the equation by 8 to get rid of
's coefficient)
(Simplify)
Therefore, the tree is
ft tall. Hope this helps!
I don’t if it is but your suppose to add them
4.2+1.5
a=5.7