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2 years ago

( 7x + 1/2) + ( 7x - 7 and 1/2) Simplify

Mathematics

1 answer:

pishuonlain [190]2 years ago

7 0

Answer:

The answer will be 7(2x - 1)

Step-by-step explanation:

1) Convert 7 and 1/2 to improper fraction. Use this rule: a b/c = ac + b/c

$7x + \frac{1}{2} + 7x - \frac{7 \times 2 + 1}{2}$

2) Simplify 7 × 2 to 14 .

$7x + \frac{1}{2} + 7x - \frac{14 + 1}{2}$

3) Simplify 14 + 1 to 15.

$7x + \frac{1}{2} + 7x - \frac{15}{2}$

4) Collect like terms.

$(7x + 7x) + ( \frac{1}{2} - \frac{15}{2} )$

5) simplify.

$14x - 7$

6) Factor out the common term 7.

$7(2x - 1)$

Therefor, the answer is 7( 2x - 1 ).

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Combing like terms -4(7 + 3a) -6a(4a - 5)

lianna [129]

Answer:

-4(7 + 3a) - 6a(4a - 5) = −24 $x^{2}$ +18a−28

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

How can you write the equation for a linear function if you know only two ordered pairs for the function?

dedylja [7]

Answer:

See below

Step-by-step explanation:

We first have to understand the parts of a y=mx+b equation

y=mx+b

m: Is the slope

b: Is the y-intercept

x: is the x part of (x,y)

y: is the y part of(x,y)

So...

if we use an example ordered pair like (1,3)

and a slope of 2

We can plug everything into y=mx+b to get

1=2*3+b which simplifies to b= -5

Now, you can use this concept to fill in the blanks below:

Use the two ordered pairs to find the slope, (m).

Then substitute the slope, and (one set of ordered pairs) into y=mx+b to solve for (b).

6 0

2 years ago

Find the circumference of the circle with 1/4 Pi square centimetre square 2

otez555 [7]

Answer:

The circumference of the circle is 6 cm (approximately).

Step-by-step explanation:

Given:

Area of the circle = 1/4π²

Now, to get the circumference of the circle we need the radius.

So, finding the radius by putting the formula of area:

Area = $\pi r^{2}$

$\frac{1}{4} \pi ^{2}$ = $\pi r^{2}$

dividing π by both sides:

$\frac{1}{4}\pi$ $=r^{2}$

using square root on both the sides:

$\frac{1}{2}\sqrt{\pi } = r$

So, the radius is $\frac{1}{2}\sqrt{\pi }$

Now, putting the formula of circumference:

$circumference=2\pi r$

= $2\pi\frac{1}{2} \sqrt{\pi}$

= $\pi \sqrt{\pi}$

putting the value of π =3.14

= $3.14\times\sqrt{3.14}$

= $3.14\times1.77$

= $5.56$

Circumference = 5.56 cm

Therefore, the circumference of the circle is 6 cm (approximately).

4 0

3 years ago

The difference of twice a number and 2 is at most 22

Zarrin [17]

Nice fact I guess

I don’t know

4 0

2 years ago

An 8-ounce box of Crispy Crackers costs $1.59 and a 32-ounce box costs $6.79. Which box is the better buy?

Aleksandr-060686 [28]

Answer: 8 oz

Step-by-step explanation:

Cost less per oz

3 0

3 years ago