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3 years ago

Order the intger from dmallest to largest 4, -3, 2, 1, -5

Mathematics

2 answers:

Fantom [35]3 years ago

8 0

Answer:

-5, -3, 1, 2, 4

Phoenix [80]3 years ago

3 0

Answer

-5,-3,1,2,4

Step-by-step explanation:

the biggest negative number is really the smallest

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Need help parabola and its vertex

AVprozaik [17]

$y + 13 = 2(x - 1)^2$

use the equation: $(y_{2} - y_{1}) = m({x_{2} - x_{1})^2$

$(-11 + 13) = m(0 - 1)^2$

$2 = m(1)^2$

$m = 2$

$y + 13 = 2(x - 1)^2$

substitute y for 0, since x-intercepts occur on the x-axis, or the line y = 0

$0 + 13 = 2(x - 1)^2$

$13 = 2(x - 1)^2$

$13 = 2(x^2 - 2x + 1)[tex]\\[tex]13 = 2x^2 - 4x + 2$

$2x^2 - 4x - 15$

use the quadratic equation (can't type it out on brainly, if you don't know, look it up)

$x = 1 - \sqrt{ \frac{13}{2} }, 1 + \sqrt{ \frac{13}{2} }$

The answer is: $(1 - \sqrt{ \frac{13}{2} },0)$ and $(1 + \sqrt{ \frac{13}{2} },0)$

8 0

3 years ago

How do you factorise 14x -21xy

alexandr402 [8]

<span>Simplifying 14x + -21xy

Factor out the Greatest Common Factor (GCF), '7x'. 7x(2 + -3y)

Final result:
7x(2 + -3y)

that is the answer on how to do it</span>

4 0

3 years ago

Read 2 more answers

davis babysat for 15hours and charged $5 per hour. he will donate %15 percent of what he earned for charity what dollar amout wi

Romashka [77]

Answer:

11.25

Step-by-step explanation:

I hope you have a good day

4 0

2 years ago

You have asked to design a rectangle box with a square base and an open top. The volume of the box must be620 cm to the 3rd powe

hammer [34]

Answer:

$69.21

Step-by-step explanation:

Since the box has a square base the length and breadth of the box will be equal. Let it be $x$

Let h be the height of the box

V = Volume of the box = $620\ \text{cm}^3$

$x^2h=620\\\Rightarrow h=\dfrac{620}{x^2}$

Now surface area of the box with an open top is given

$s=x^2+4xh\\\Rightarrow s=x^2+4x\dfrac{620}{x^2}\\\Rightarrow s=x^2+\dfrac{2480}{x}$

Differentiating with respect to x we get

$\dfrac{ds}{dx}=2x-\dfrac{2480}{x^2}$

Equating with zero

$0=2x-\dfrac{2480}{x^2}\\\Rightarrow 2x^3-2480=0\\\Rightarrow x^3=\dfrac{2480}{2}\\\Rightarrow x=(1240)^{\dfrac{1}{3}}\\\Rightarrow x=10.74$

Double derivative of the function

$\dfrac{d^2s}{ds^2}=2+\dfrac{4960}{x^3}=2+\dfrac{4960}{1240}\\\Rightarrow \dfrac{d^2s}{ds^2}=6>0$

So, x at 10.74 is the minimum value of the function.

$h=\dfrac{620}{x^2}\\\Rightarrow h=\dfrac{620}{10.74^2}\\\Rightarrow h=5.37$

So, minimum length and breadth of the box is 10.74 cm while the height of the box is 5.37 cm.

The total area of the sides is $4xh=4\times 10.74\times 5.37=230.7\ \text{cm}^2$

The area of the base is $x^2=10.74^2=115.35\ \text{cm}^2$

Cost of the base is $0.40 per square cm

Cost of the side is $0.10 per square cm

Minimum cost would be

$230.7\times 0.1+0.4\times 115.34=\$69.21$

The minimum cost of the box is 69.21 dollars.

8 0

3 years ago

What is the volume of this figure?

melomori [17]

<h3><u>Explanation</u> :-</h3>

Volume of a square box is equal to the cube of the length of the side of the square box.
The formula for the volume is V = s³, where "s" is the length of the side of the square box.

$\qquad$ ____________________

It’s given–

Length of one side is = 7cm

$\bf{\underline{\underline{\dag According\ to\ the\ question:-}}}$

$\qquad$ $\purple{\bf\longrightarrow {Volume = 7^3} }$

$\qquad$ $\purple{\bf \longrightarrow Volume =343\: cm^3}$

Hence, option C is the correct option!

5 0

3 years ago

Read 2 more answers