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3 years ago

Hows your day so far?

Mathematics

1 answer:

solmaris [256]3 years ago

7 0

Answer:

really good

Step-by-step explanation:

You might be interested in

When graphing y = 2x2 + 35x + 75, which viewing window would allow you to see all of the intercepts and the minimum as closely a

djverab [1.8K]

The intercept with the y-axes occurs when x = 0

f(0) = 2*02 + 35*0 + 75 = 0 + 0 + 75 = 75

So intercept with x axes is the point (0,75)

The intercept with the x-axes occurs when y=0

2x2 + 35x + 75 = 0

As there’s no direct way to find x, we can use the Bhaskara formula:

x=(-b+- square root (b2-4ac))/(2a)

This formula is for: ax2 +bx + c = 0

So:

a=2

b=35

c=75

x=(-35+- square root (35^2-4*2*75))/(2*2)

So x can be -2.5 or -15

So intercept with y axes are the points (-2.5,0) and (-15,0)

And there is also a formula to find the mínimum. The mínimum is always the vertex:

Xv = -b/(2*a) = -35/(2*2) = -8.75

Yv = f(Xv) = f(-8.75) = 2(-8.75)^2 + 35(-8.75) + 75 = -78.125

So the minimum is the point (-8.75, -78.125)

You can easily verify all these data with a graphic software such as GeoGebra.

Here is the complete list of all the points we need to see:

(0,75); (-2.5,0) ; (-15,0), (-8.75, -78.125)

So the mínimum X has to be -15 and the máximum X has to be 0

and the mínimum Y has to be -78.125 and the máximum Y has to be 75

So this leads to a different scale for X and for Y.

Window x = [ -15, 0] y = [ -78.125, 75]

5 0

3 years ago

before soccer practice. Laura warms up jogging around the rectangular soccer field that is 80 yards by 120 yards how many yards

AfilCa [17]

Answer:

The answer is 19200

Step-by-step explanation:

120x80=9600×2=19200

3 0

2 years ago

I’m plz help fast thanks 16

nataly862011 [7]

Answer:

1/2 <3/4

Step-by-step explanation:

1/2 vs 3/4

We need a common denominator of 4

1/2*2/2 vs 3/4

2/4 vs 3/4

Since the denominators are the same, we compare the numerators

2 <3 so

2/4 < 3/4

1/2 <3/4

5 0

3 years ago

Is y=2 2 -5x linear or non linear

Ganezh [65]

Answer:

linear y=22-5x...is linear

8 0

3 years ago

43/645= I need the to show the work

Licemer1 [7]

I'm guessing you need 43/645 simplified:

First, we need to find the greatest common factor (GCF) of the numerator (43) and the denominator (645). To do so, we list all the factors of each number and find the common ones.

Factors of 43: 1, 43
Factors of 645: 1, 3, 5, 15, 43, 129, 215, 645

Out of the listed factors for each number, which numbers are common between the two? The common factors are 1 and 43. Since we are looking for the GREATEST common factor, which number out of 1 and 43 is the greatest? The GCF is 43.

Second, we can now divide the numerator (43) and the denominator (645) by the GCF we recently found which was 43.

$43 \div 43 = 1 \\ 645 \div 43 = 15$

Third, our new simplified fraction is 1/15. We collected our new numerator and denominator.

Answer in fraction form: $\fbox {1/15}$
Answer in decimal form: $\fbox {0.0667}$

4 0

2 years ago