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3 years ago

X2 - 5x + 4 What is equivalent to this expression?

Mathematics

2 answers:

drek231 [11]3 years ago

6 0

Answer

(x-1) (x-4)

Step-by-step explanation:

I did this not long ago in class so that's the answer

nadya68 [22]3 years ago

5 0

If you want to factor, then you need to find two numbers that multiply to 4 and add to -5. Those two numbers are -4 and -1

-4 times -1 = 4

-4 plus -1 = -5

This means x^2-5x+4 factors to (x-4)(x-1). The order of the factors does not matter, as we can multiply in any order, so it is equivalent to (x-1)(x-4)

You can use the FOIL rule or the box method to expand out (x-4)(x-1) to get x^2-4x-1x+4 = x^2-5x+4 again. This confirms we have the proper factorization.

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. The U.S. Postal Service will accept a box for domestic shipment only if the sum of its length and girth (distance around) does

Elenna [48]

Answer:

Dimension a = 18 , b= 36 will give a box with a square end the largest volume

Step-by-step explanation:

Given -

sum of box length and girth (distance around) does not exceed 108 inches.

Let b be the lenth of box and a be the side of square

b + 4a = 108

b = 108 - 4a

Volume of box = $area \times lenth$

= $a^2\times b$

V = $a^2\times b$

puting the value of b

V = $a^2 ( 108 - 4a )$

$V = 108a^2 - 4a^3$

To find the maximum value of V

(1) we differentiate it

$\frac{\mathrm{d} V}{\mathrm{d} a} = 216a - 12a^2$

(2) $\frac{\mathrm{d} V}{\mathrm{d} a} = 0$

$216a - 12a^2$ = 0

12a ( 18 - a ) =

a = 0 and a = 18

(3) putting the value of a if $\frac{\mathrm{d^2} V}{\mathrm{d} a^2}$ = negative then the value for a ,V is maximum

$\frac{\mathrm{d^2} V}{\mathrm{d} a^2}$ = 216 - 24a

put the value of a = 0 , $\frac{\mathrm{d^2} V}{\mathrm{d} a^2}$ = 216

put the value of a = 18 , $\frac{\mathrm{d^2} V}{\mathrm{d} a^2} =$ negative

for the value of a =18 V gives maximum value

Max volume = $108\times18^2 - 4\times18^3$

= 11664

a = 18 , b = 108 - 4a = $108 - 4\times 18$ = 36

8 0

3 years ago

If james has 2 pieces of candy and gives 2 away but john gives him 2 more how much candy does james have?

ASHA 777 [7]

Your answer is 2 pieces of candy

4 0

3 years ago

Read 2 more answers

You have to complete at least 10 physics problems and math problems within 2 hours before you playing video games. It will take

Ghella [55]

Answer:2

Step-by-step explanation:

Given

Physics problem requires 20 min

Math problem require 10 min

suppose x question of Physics and y questions of Math are done

so according to the question

$x+y\geq 10\ldots 1$

Time require for x Physics problem $=20 x$

Time require for y Math problem $=10 y$

so,

$20 x+10 y\leq 120\ldots 2$

On solving (1) and (2)

we get $x=2$ and $y=8$

Maximum no of Physics question which can be solved is 2

5 0

3 years ago

Find the percent of decrease from 340 to 260. Round to the nearest tenth of a percent if necessary.

Marina CMI [18]

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 340 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 340, so we can write it down as 100%=340.

4. We know, that x% equals 260 of the output value, so we can write it down as x%=260.

5. Now we have two simple equations:

1) 100%=340

2) x%=260

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=340/260

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 260 is what percent of 340

100%/x%=340/260

(100/x)*x=(340/260)*x - we multiply both sides of the equation by x

100=1.30769230769*x - we divide both sides of the equation by (1.30769230769) to get x

100/1.30769230769=x

76.4705882353=x

x=76.4705882353

now we have:

260 is 76.4705882353% of 340

8 0

3 years ago

Read 2 more answers

URGENT NEED HELP< WILL GIVE BRAINLIEST!!

leonid [27]

y = 7 + 5/(x-6)

That should work.

Hope this helps!

7 0

3 years ago