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Yakvenalex [24]

3 years ago

8

Apples lose 75% of their weight during drying. How many pounds of fresh apples do you need to pick in order to get 150 lb of dri

ed apples?

1 answer:

Anna35 [415]3 years ago

7 0

Since apples lose 75% of their weight, that means 150 lbs = 25% of fresh apples. 25% = 1/4, so the equation is 150/(1/4) = 150*4 = 600 lbs

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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

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

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) <span> + 75 = </span>-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

Solve 3x + 23 + x = 7. x = −4 x = 4 x = −0.25 x = 0.25

Maksim231197 [3]

<h2>______________________________</h2><h2>Solve for x | Solution and Explanation </h2>

______________________________________________

Hello! So...

We are given the following:

Solve for x.

$3x+23+x=7$

====================

1. Group the like terms.

$3x+x+23=7$

====================

2. Add similar elements ( $3x+x=4x$ ).

$4x+23=7$

====================

3. Subtract 23 from both sides.

$4x + 23 - 23 = 7 - 23$

====================

4. Simplify.

$4x=-16$

====================

5. Divide both sides by 4.

$\frac{4x}{4} =\frac{-16}{4}$

====================

6. Simplify.

$x=-4$ (aka. Option A)

====================

Hope this helps!

3 0

1 year ago

Don't get this question

solniwko [45]

Answer:

17 and 18

Step-by-step explanation:

Writing every 2 digit number gives us :

10-99 including 10 and 99

For the first one we are looking for numbers where the number 3 appears only once so 33 would be invalid.

13,23,30,31,32,34,35,36,37,38,39,43,53,63,73,83,93

There are 17 2-digit numbers that have 3 exactly once

For the second one we are looking for number where the number 3 appears a minimum of once so 33 would be valid :

13,23,30,31,32,33,34,35,36,37,38,39,43,53,63,73,83,93

There are 18 2-digit numbers that have 3 at least once

Hope this helped and have a good day

5 0

1 year ago

What’s the measure of X in this short answers are fine

miv72 [106K]

Answer:

28 = x

Step-by-step explanation:

62 = angle BAC since they are vertical angles

angle ABC is a right angle since KL is perpendicular to FG

Adding the angles in triangle ABC

BAC + ABC + BCA = 180

62 + 90 + BCA = 180

152 + BCA = 180

BCA = 180-152

BCA = 28

BCA = x since they are vertical angles

28 = x

3 0

3 years ago

What is the expression value of -42-13

AlladinOne [14]

Answer:

-55

Step-by-step explanation:

5 0

3 years ago