Need help 3x+10y=-10

Mathematics

1 answer:

Genrish500 [490]3 years ago

7 0

Answer: 10 + 10 = 21

dont ask how

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Determine which of the ordered pairs are a part of the solution set of y + 3 < 2x (0, –4)

lorasvet [3.4K]

Answer:

(2,0) and (2,-2)

Step-by-step explanation:

y+3<2x

(2,0) is solution because 0+3<2*2, 3<4 and

(2,-2) because - 2+3<2*2, 1<4

5 0

4 years ago

Read 2 more answers

-5(x - 1) greater than -40

sergey [27]

Answer:

x < 9

Step-by-step explanation:

Writing this entirely with symbols, we get:

-5(x - 1) > -40

We must solve for x.

Carrying out the multiplication, we get:

-5x + 5 > -40, or

-5x > -45

Dividing both sides by -5 isolates x:

x < 9

Note that when working with an inequality such as this one, dividing both sides by a negative number requires changing the direction of the inequality symbol.

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3 years ago

A boat traveled 210 miles downstream and back. The trip downstream took 10 hours. The trip back took 70 hours. What is the speed

musickatia [10]

Try this solution:

Answer: 6 & 4.5 (m-per-h)

Step-by-step explanation:

- The basic formula used in this task is S=V*t, where S - distance, V - speed, t - time.

- the downstream speed is: V+Vc, where V - the speed of the boat in still water, Vc - the speed of the current.

- the upstream speed is: V-Vc.

- according to the described above the distance for downstream is S1=(V+Vc)*t1, where t1=10; the distance for upstream is S2=(V-Vc)*t2, where t2=70.

- for whole travel down- and upstream: S=S1+S2.

- Using these it is possible to make up the system of the equations:

$\left \{ {{(70(V-V_c)=10(V+V_c)} \atop {70(V-V_c)+10(V+V_c)=210}} \right.$

V - the speed of the boat in still water - 6 miles per hour, Vc - the speed of the current - 4.5 miles per hour. All the details for the system of the equations are in the attachment.