<span>Decimals that have the same value are equivalent decimals. Equivalent decimals are decimal numbers that have the same value (the same amount). In other words equivalent decimal numbers have the same value but different number of decimals. For example:
0.5 and 0.50 are equivalent decimals.
0.5 and 0.500
0.05 and 0.0500
</span>
Answer:
Please refer to the attached graph
Step-by-step explanation:
Knowing the following:
X = amount of money donated to the city youth fund
Y = amount of money donated to the educational growth foundation
We can write the statements in form of equations:
"Will donate up to $500, the money will be divided between two charities"
(a)
"The amount donated to the educational growth foundation to be at least four times the amount donated to the city youth fund"
(b)
If we graph both equations we can see the area where both conditions are met (see graph attached)
Where the blue line is (a) and the red line is (b)
Shaded area represent all the possible solutions for the donations, for example:
X=100 and Y=400 or
X=50 and Y=200, etc.
Answer:
x = ± 5
Step-by-step explanation:
x² - 25 = 0 ( add 25 to both sides )
x² = 25 ( take square root of both sides )
x = ± = ± 5
That is x = - 5, x = 5
Step-by-step explanation:
- In the first parabola it opens on the left and the equation of parabola can be expressed as,
in vertical component <u>(y)² = (-) a (x-h)² + k</u>
cause the parabola is horizontal and it opens on the left.
2. In the second parabola the vertex opens on the right and hence the equation cane be given as,
in vertical component <u>(y)² = a (x-h)² + k</u>
cause the parabola is horizontal and opens on the right.
3. the third equation is given as,
in horizontal component<u> (x²) =</u> <u> (-) a (x-h)² + k</u>
since the parabola is vertical and opens down.
4. the fourth equation is given as,
in the horizontal component <u>(x)² = a (x-h)² + k</u>
since the parabola is vertical and opens up.