Answer:
- x=8, x=2
- no solution
- no solution
Step-by-step explanation:
For the equation ...
y = a(x -h)² +k
you can find the x-intercepts by setting y=0 and solving for x.
0 = a(x -h)² +k
-k = a(x -h)² . . . . . . subtract k
-k/a = (x -h)² . . . . . divide by a
±√(-k/a) = x -h . . . . take the square root
h ± √(-k/a) = x . . . . add h . . . . this is the general solution
__
So, for each of your problems, fill in the corresponding numbers and do the arithmetic. If (-k/a) is a negative number, the square root gives imaginary values, so there is "no solution".
1. x = 5 ± √9 = {5 -3, 5 +3} = {2, 8} . . . . the x-intercepts are 2 and 8
2. x = -3 ± √(-2) . . . . . . no solution; the roots are complex
3. x = 5 ± √(-8/4) . . . . . no solution; the roots are complex
Answer:
See below
Step-by-step explanation:
<u>We can estimate the dividend and divisor as follows:</u>
- 635943 ÷ 77 =
- 636000 ÷ 80 =
- 7950 ≈ 8000
Estimate is 8000
1.
a.) The color of <u>Aqueous solution</u> turns <u>light green</u> from <u>blue</u>, due to formation of <u>iron sulphate</u> .
b.) The color of the <u>Aqueous solution</u> turns <u>colorless</u> from <u>blue</u> due to formation of <u>zinc sulphate</u>.
2. <u>Bells</u> used in temples aren't made up of wood because wood isn't <u>sonorous</u> and hence can't produce <u>ringing sound</u>, and hence metals are used in making bells.
3. <u>phosphorous</u> is kept in water because it is <u>highly reactive</u> and reacts vigorously with air if left free in atmosphere .
4.
a.) CuSO4 + Mg =》MgSO4 + Cu
this is a <u>single displacement reaction</u>, where <u>Magnesium</u> being more reactive than <u>Copper</u>, displaces copper from its compound (copper sulphate) to form <u>magnesium sulphate</u>.
b. H2SO4 + Zn =》ZnSO4 + H2
this is a <u>single displacement</u><u> </u><u>reaction</u>,
where <u>Zinc</u> being more reactive than
<u>hydrogen</u>, displaces hydrogen from its
compound (sulphuric acid) to form <u>Zinc</u><u> </u><u>sulphate</u>.
The <em>exponential</em> function y = 290 · 0.31ˣ reports a decay as its <em>growth</em> rate is less than 1 and greater than 0. Its <em>percentage</em> rate of decrease is equal to 69 %.
<h3>How to determine the behavior of an exponential function</h3>
<em>Exponential</em> functions are <em>trascendental</em> functions, these are, functions that cannot be described <em>algebraically</em>. The <em>simplest</em> form of <em>exponential</em> functions is shown below:
y = a · bˣ (1)
Where:
- a - Initial value
- b - Growth rate
- x - Independent variable.
- y - Dependent variable.
Please notice that this kind of <em>exponential</em> function reports a <em>growth</em> for b > 1 and <em>decay</em> for b < 1 and b > 0. According to the statement we have the function y = 290 · 0.31ˣ, then we conclude that the exponential function given reports a <em>decay</em>.
The <em>percentage</em> rate of decrease is determined by the following formula:
100 × (1-0.31) = 100 × 0.69 = 69 %
The <em>percentage</em> rate of decrease related to the <em>exponential</em> function is 69 %.
To learn more on exponential functions: brainly.com/question/11487261
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Since she spends 30 minutes/day walking, the total number of minutes can be represented by 30 minutes for each day or 30*amount of days=30*d