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3 years ago

What is the missing constant term in the perfect square that starts with x square minus 12 x

Mathematics

1 answer:

mina [271]3 years ago

4 0

That would be + 36

because

x^2 - 12x + 36 = (x - 6)^2

( you divide the -12 by then square the answer: -6^2 = 36 )

You might be interested in

Use the distributive property to create an equivalent expression to 42 + 6x

Brut [27]

Hey there!
The distributive property is defined as:
a(b+c) = ab+ac.
Since a is being multiplied by b and c, it's a common factor. In this situation, our common factor is 6, as it goes into 6x and 42. So, we have:
6(7 + x)
Hope this helps!

3 0

3 years ago

If 4f(x)+f(5-x)=x2<br><br> What is f(x)?

aksik [14]

We are given that $4f(x)+f(5-x)=x^2$ .

Substitute x with 5-x, then the above equation becomes:

$4f(5-x)+f(5-(5-x))=(5-x)^2$ , that is

$4f(5-x)+f(x)=(5-x)^2$

So, we have the following system of equations:

i) $4f(x)+f(5-x)=x^2$
ii) $4f(5-x)+f(x)=(5-x)^2$

multiply the first equation by -4, so that we eliminate f(5-x)'s

i) $-16f(x)-4f(5-x)=-4x^2$
ii) $4f(5-x)+f(x)=(5-x)^2$

adding the 2 equations side by side we have:

$-15f(x)=-4x^2+(5-x)^2$

expanding the binomial, and collecting same terms we have:

$-15f(x)=-4x^2+(25-10x+x^2)$

$-15f(x)=-3x^2-10x+25$

dividing by -5:

$3f(x)=\frac{3}{5}x^2+2x-5$

dividing by 3:

$\displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3}$

Answer: $\displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3}$

6 0

3 years ago

Suppose you run 4 miles from your house to a friends house at the speed of 7 miles per hour. When the time comes to return home,

kenny6666 [7]

9514 1404 393

Answer:

a. 0.6 h

b. 1.3 h

c. C -- No

d. 4.2 mi/h

Step-by-step explanation:

a. The relationship between time (t), speed (s), and distance (d) is ...

t = d/s

The time spent running 4 miles at 7 miles per hour is ...

t = (4 mi)/(7 mi/h) = (4/7) h ≈ 0.6 h

b. The time spent walking home is ...

t = (4 mi)/(3 mi/h) = 4/3 h ≈ 1.3 h

c. C -- No, less time is spent at 7 mi/h

d. The average speed is ...

s = d/t = (4 mi +4 mi)/(4/7 h +4/3 h) = (8 mi)/(40/21 h) = 4.2 mi/h

4 0

3 years ago

Am I correct on number 3

mrs_skeptik [129]

Yes your correct tttttttttttttttttttttttttttttttttttttttttttttttttttttttttt

4 0

4 years ago

The design team in charge of the warehouse has chosen a tile that has an area of 2.25 square feet. Which of the following situat

zysi [14]

My best guess would be D.) None of the above. There is not enough info.

3 0

3 years ago

Read 2 more answers