All categories

3 years ago

Which ordered pair (a, b) is a solution to the given system?

Mathematics

2 answers:

denis23 [38]3 years ago

8 0

Since you are given a list of choices, you can go through each choice to plug them into the equations. It turns out that choice B is the answer

(3,1) means that a = 3 and b = 1
Plug in a = 3 and b = 1 into the first equation
2a - 5b = 1
2*3 - 5*1 = 1.... replace 'a' with 3, replace b with 1
6 - 5 = 1
1 = 1
we get a true equation, so we have confirmed the first equation

Do the same for the second equation
3a+5b = 14
3*3+5*1 = 14 .... replace 'a' with 3, replace b with 1
9+5 = 14
14 = 14
we get a true equation, so the second equation has been confirmed

Both equations are true when (a,b) = (3,1). So the answer (3,1) has been confirmed fully

goblinko [34]3 years ago

8 0

Answer: B (3, 1)

Step-by-step explanation: I took the test on edge 2020

You might be interested in

A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectil

Furkat [3]

Answer:

t = 5.25 seconds

Step-by-step explanation:

Given that,

A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectile is modeled using the equation:

$h(t)=-16t^2+48t+190$

It is assumed to find the time when the projectile will hit the ground. When the projectile hit the ground, its height is equal to 0 such that,

$-16t^2+48t+190=0$

It forms a quadratic equation such that,

$t=\dfrac{-b+\sqrt{b^{2}-4ac } }{2a},\dfrac{-b-\sqrt{b^{2}-4ac } }{2a}\\\\t=\dfrac{-48+\sqrt{(48)^{2}-4\times (-16)(190) } }{2\times (-16)},\dfrac{-48-\sqrt{(48)^{2}-4\times (-16)(190) } }{2\times (-16)}\\\\t=-2.25, 5.25$

So, the projectile will hit the ground at t = 5.25 seconds.

3 0

3 years ago

Read 2 more answers

Show answer in lowest terms. 3 1 /4 - 1 3/16=

SpyIntel [72]

3 - 1 = 2
1/4 - 3/16 = 4/16 - 3/16 = 1/16

answer is : 2 1/16 (in mixed number) or 33/16 (in improper fraction)

4 0

3 years ago

When constructing parallel lines , how can you verify the lines constructed are parallel

tamaranim1 [39]

Answer:

compare the distance between the lines at one point to the distance between the lines at another point

Step-by-step explanation:

You can construct perpendiculars at different points and compare the distance between the lines at those perpendiculars. The distance between parallel lines is the same everywhere.

8 0

3 years ago

Read 2 more answers

The clownfish kay wanted to buy for $12 last week has been marked up 8%. What is the new price of the fish?

Crank

The markup is 8%, meaning it costs 8% more.
The starting price is 100%.
Therefore, the markup is 108% of $12.
If we multiply 12 by 108% (1.08), we will get our answer of $12.96

4 0

3 years ago

Read 2 more answers

A marketing organization claims that more than 10% of its employees are paid minimum wage. If a hypothesis test is performed tha

Genrish500 [490]

Answer:

there is insufficient evidence to support the claim that more than 10% of the employees are paid minimum wage.

Step-by-step explanation:

Given that:

A marketing organization claims that more than 10% of its employees are paid minimum wage.

The null hypothesis is:

$H_o : p = 10$

The alternative hypothesis is:

$H_1 : p > 10$

If a hypothesis test is performed that fails to reject the null hypothesis, how would this decision be interpreted

i.e Decision Rule: fails to reject the null hypothesis

Then the interpretation of the decision is that, there is insufficient evidence to support the claim that more than 10% of the employees are paid minimum wage.

8 0

3 years ago