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3 years ago

The area of a square carpet tile is 900 square centimeters. What is the length of one edge of the tile in centimeters

1 answer:

8 0

Let the side of one edge of tile = a cm.

So area of tile = (side)^2 = $a^2$

But area of tiles = 900 square centimeter.

So $a^2 = 900$

$a = \sqrt{900}$
$= 30$

So side of one edge of tile is = 30 cm

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Determine the number of real solutions of -2x^2+5x-3=0

Tema [17]

Answer:

Two distinct real solutions.

Step-by-step explanation:

Given the equation in the form $ax^2+bx+c=0$ , you need to find the Discriminant with this formula:

$D=b^2-4ac$

For the equation $-2x^2+5x-3=0$ you can identify that:

$a=-2\\b=5\\c=-3$

Then, substituting these values into the formula, you get that the Discriminant is:

$D=5^2-4(-2)(-3)$

$D=1$

Since $D>0$ , then $-2x^2+5x-3=0$ has two distinct real solutions.

8 0

3 years ago

What is f(g(x)) for x > 5?

mel-nik [20]

Answer:

$\large\boxed{B.\ 4x^2-41x+105}$

Step-by-step explanation:

$f(x)=4x-\sqrt{x}\\\\g(x)=(x-5)^2\\\\f(g(x))\to\text{put}\ x=(x-5)^2\ \text{to}\ f(x):\\\\f(g(x))=f\bigg((x-5)^2\bigg)=4(x-5)^2-\sqrt{(x-5)^2}\\\\\text{use}\\(a-b)^2=a^2-2ab+b^2\\\sqrt{x^2}=|x|\\\\f(g(x)=4(x^2-2(x)(5)+5^2)-|x-5|\\\\x>5,\ \text{therefore}\ x-5>0\to|x-5|=x-5\\\\f(g(x))=4(x^2-10x+25)-(x-5)\\\\\text{use the distributive property:}\ a(b+c)=ab+ac\\\\f(g(x))=(4)(x^2)+(4)(-10x)+(4)(25)-x-(-5)\\\\f(g(x))=4x^2-40x+100-x+5\\\\\text{combine like terms}\\\\f(g(x))=4x^2+(-40x-x)+(100+5)\\\\f(g(x))=4x^2-41x+105$

6 0

3 years ago

Read 2 more answers

Which one is it.<br>You can choose more than one.

spayn [35]

Answer:

3 and 8

Step-by-step explanation:

6,240/3=2080

6,240/9=693.3333333.....

6,240/780

6 0

2 years ago

Read 2 more answers

For his birthday party Jacob mixed together 8 gal. Of Brand A fruit punch and 2 gal. of brand B. Brand A contains 60% fruit juic

REY [17]

The answer is 5 gallons
Its very simple.
Turn 60% and 10% into decimals ( .60 and .10)
Multiply 8 gallons ( brand A ) by .60 and you get 4.8 gallons
Multiply 2 gallons ( brand B ) by .10 and you get .2 gallons
Add them up and you get 5 gallons.

3 0

3 years ago

Given lines p and q are parallel, find the value of x that makes each diagram true.

Klio2033 [76]

Answer: for a the answer is 140° and for b x=25°

Step-by-step explanation:

for a, when you have 2 parallel lines cut by a transversal,the corresponding angles are congruent. and the angle140 is congruent to the corresponding angle as they are vertical angles are congruent.

for b, angle x is congruent to the angle that is supplementary to 155 therefore 180-155=25°

5 0

3 years ago