Answer: The answer is $\textup{The other root is }\dfrac{8}{3}~\textup{and}q=40.Step-by-step explanation: The given quadratic equation is[tex]3x^2+7x-q=0\\\\\Rightarrow x^2-\dfrac{7}{3}x-\dfrac{q}{3}=0.$

Also given that -5 is one of the roots, we are to find the other root and the value of 'q'.

Let the other root of the equation be 'p'. So, we have

$p-5=-\dfrac{7}{3}\\\\\\\Rightarrow p=5-\dfrac{7}{3}\\\\\\\Rightarrow p=\dfrac{8}{3},$

and

$p\times(-5)=-\dfrac{q}{3}\\\\\\\Rightarrow \dfrac{8}{3}\times 5=\dfrac{q}{3}\\\\\\\Rightarrow q=40.$

Thus, the other root is $\dfrac{8}{3}$ and the value of 'q' is 40.

3 0

3 years ago

You have $60 and your sister has $120. You are saving $14 per week and your sister is saving $10 per week. How long will it be b

tigry1 [53]

Answer:

15 weeks

The amount of money is 270

Step-by-step explanation:

You: 60 +14x

Sister: 120+10x

Set them equal to each other

60+14x = 120+10x

Subtract 10x from each side

60+4x= 120

Subtract 60 from each side

4x= 60

Divide by 4

4x/4 = 60/4

x = 15

15 weeks

The amount of money is 120+10*15 = 120+150 = 270

3 0

4 years ago

Read 2 more answers

Suppose a plant grew 4 1/2 inches one week and 2 3/8 inches the next week. How many inches did it grow during both weeks?

jolli1 [7]

7 inches if you round up for the fractions

8 0

3 years ago

Read 2 more answers

Justine runs 250 yards in 50 seconds.

DaniilM [7]

Answer:

a: 300 Yards

b: 10 seconds

c: 5 Yards per second

7 0

3 years ago