All categories

3 years ago

Evaluate this expression for a = 2 and b = 3

1 answer:

5 0

Aidan, please use more parentheses so that there's no question about what's being divided by what.

I am unsure whether the final " /a " indicates division of (b+3) by a or division of the entire expression before " /a " by a.

Here is the way I'm going to interpret your math problem:
b 2(b+3)
a+5 - ------ + ---------
b-4 a

Subbing 2 for a and 3 for b, we get
3 2(3+3)
2 + 5 - --------- + -------------
3-4 2
12
This comes out to 7 + 3 + ------ = 10+6 = 16
2

You might be interested in

A giant pie is created in an attempt to break a world record for baking. The pie is shown below: A circle is shown with a centra

AfilCa [17]

Answer:

98.88 ft^2 to nearest hundredth

Step-by-step explanation:

Area of slice = (37/360) * pi * 17.5^2 ( 17.5 = radius ( half diameter of 35))

= 98.88 ft^2

6 0

4 years ago

Read 2 more answers

A regular Pentagon with sides 40cm what is the perimeter

grigory [225]

Perimeter = namely the length of outside bordering,

well, this is a PENTAgon, or PENTA=5 or namely 5 sides, is regular so each side is the same length, so we have a polygon with 5 sides each measuring 40cm, well, its perimeter is just 40+40+40+40+40 = 200.

7 0

3 years ago

PLEASE HELP ME IM SO CONFUSED!!! i need answers 10-12

zimovet [89]

Answer: Heyaa! ~

10. 8√2

11. 2h²√3

12. 2h³√5k⁴

Step-by-step explanation:

- Lets solve it together!

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Hopefully this helps you!

3 0

2 years ago

How would the number of times edgardo uses a container to fill the 10 gallon cooler change if he uses a one cup container? Expla

olya-2409 [2.1K]

Answer:

Edgardo would use the container 160 times to fill.

Step-by-step explanation:

Given:

Edgardo uses a container to fill the 10 gallon cooler.

If he uses a one cup container.

Now, to find the times it would take to fill the 10 gallon container.

As, the capacity of container = 1 cup.

And, the capacity of cooler = 10 gallon.

So, we use conversion factor to find the times the container to fill the cooler:

1 gallon = 16 cups.

10 gallon = $10\times 16\ cups.$

10 gallon = 160 cups.

Thus, to fill the 10 gallon cooler 160 cups of container needed.

And, the container is of 1 cup.

So, to get the times he would use the container we divide 160 by 1:

$160\div 1=160.$

Hence, 160 times Edgardo would use the 1 cup container to fill the 10 gallon cooler.

Therefore, Edgardo would use the container 160 times to fill.

8 0

3 years ago

Determine which of the sets of vectors is linearly independent. A: The set where p1(t) = 1, p2(t) = t2, p3(t) = 3 + 3t B: The se

defon

Answer:

The set of vectors A and C are linearly independent.

Step-by-step explanation:

A set of vector is linearly independent if and only if the linear combination of these vector can only be equalised to zero only if all coefficients are zeroes. Let is evaluate each set algraically:

$p_{1}(t) = 1$ , $p_{2}(t)= t^{2}$ and $p_{3}(t) = 3 + 3\cdot t$ :

$\alpha_{1}\cdot p_{1}(t) + \alpha_{2}\cdot p_{2}(t) + \alpha_{3}\cdot p_{3}(t) = 0$

$\alpha_{1}\cdot 1 + \alpha_{2}\cdot t^{2} + \alpha_{3}\cdot (3 +3\cdot t) = 0$

$(\alpha_{1}+3\cdot \alpha_{3})\cdot 1 + \alpha_{2}\cdot t^{2} + \alpha_{3}\cdot t = 0$

The following system of linear equations is obtained:

$\alpha_{1} + 3\cdot \alpha_{3} = 0$

$\alpha_{2} = 0$

$\alpha_{3} = 0$

Whose solution is $\alpha_{1} = \alpha_{2} = \alpha_{3} = 0$ , which means that the set of vectors is linearly independent.

$p_{1}(t) = t$ , $p_{2}(t) = t^{2}$ and $p_{3}(t) = 2\cdot t + 3\cdot t^{2}$

$\alpha_{1}\cdot p_{1}(t) + \alpha_{2}\cdot p_{2}(t) + \alpha_{3}\cdot p_{3}(t) = 0$

$\alpha_{1}\cdot t + \alpha_{2}\cdot t^{2} + \alpha_{3}\cdot (2\cdot t + 3\cdot t^{2})=0$

$(\alpha_{1}+2\cdot \alpha_{3})\cdot t + (\alpha_{2}+3\cdot \alpha_{3})\cdot t^{2} = 0$

The following system of linear equations is obtained:

$\alpha_{1}+2\cdot \alpha_{3} = 0$

$\alpha_{2}+3\cdot \alpha_{3} = 0$

Since the number of variables is greater than the number of equations, let suppose that $\alpha_{3} = k$ , where $k\in\mathbb{R}$ . Then, the following relationships are consequently found: