Answer:
See the explanation.
Step-by-step explanation:
We are given the function f(x) = x² + 2x - 5
Zeros :
If f(x) = 0 i.e. x² + 2x - 5 = 0
The left hand side can not be factorized. Hence, use Sridhar Acharya formula and
and
⇒ x = -3.45 and 1.45
Y- intercept :
Putting x = 0, we get, f(x) = - 5, Hence, y-intercept is -5.
Maximum point :
Not defined
Minimum point:
The equation can be expressed as (x + 1)² = (y + 5)
This is an equation of parabola having the vertex at (-1,-5) and axis parallel to + y-axis
Therefore, the minimum point is (-1,-5)
Domain :
x can be any real number
Range:
f(x) ≥ - 6
Interval of increase:
Since this is a parabola having the vertex at (-1,-5) and axis parallel to + y-axis.
Therefore, interval of increase is +∞ > x > -1
Interval of decrease:
-∞ < x < -1
End behavior :
So, as x tends to +∞ , then f(x) tends to +∞
And as x tends to -∞, then f(x) tends to +∞. (Answer)
Pcnt change = (new - old)/old * 100% = (33-30)/30 * 100 = 10%
So we have two similar triangles; with the given gate post and the flag pole. We are trying to find X, the height of the flag pole.
Since these triangles are similar, we can put the side lengths of each triangle in a proportion equal to each other.
The ratio of the height of the gate post over its shadow is 7 / 10. And the ratio of the height of the flag pole over its shadow is x / 30.
We have to cross multiply to figure out x alone. I’ll attach a picture so it’s a bit easier to see.
So we are left with 30 • 7 = 10x.
30 • 7 = 210.
210 = 10x
With your knowledge of basic algebra, you should know what to do. You divide 210 / 10, to get 21 ft. Which is your answer. Voila.
Baker should use 18-kilogram pack so that no salt is left in the end.
Step-by-step explanation:
In order to find which bag should he buy, we have to check for which bag the 30 grams salt can be taken out completely i.e. which quantity is divided by 30 grams completely.
If a quantity is not divided by 30 completely that means that there will be salt left.
so,
For 800-grams pack:
Salt for one batch of bread = 30-grams
Batches from 800-grams of salt:
<u>For 18-kg pack:</u>
First of all we have to convert the kilograms into grams
As there are 1000 grams in one kilogram,
18 kg = 18*1000 grams = 180000 grams
Batches of bread from 18 kg salt:
As the 18-kilograms is completely divided by 30, so after 600 batches no salt will be left but in 800 gram pack after 26 batches salt will be left.
So,
Baker should use 18-kilogram pack so that no salt is left in the end.
Keywords: Conversions
Learn more about conversion at:
#learnwithBrainly
Use the Law of Sines:
600 a
---------- = ---------- where 94 came from subtracting (11 + 75) from 180.
sin 11 sin 94
Solve this for side a.