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2 years ago

15

Lucas and Tayvan can paint a house in 1 hour working together. If Tayvan works alone, he can paint the house in 1.5 hours. How l

ong would it take Lucas to complete the job on his own?

1 answer:

nikitadnepr [17]2 years ago

7 0

Answer:

1 hour

Step-by-step explanation:

no explanation its common sense lol

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What is the answer for 4 and 5

givi [52]

Answer:

Step-by-step explanation:

6 0

2 years ago

X*2+1=10 then x=? Tell me the value of x

Trava [24]

Answer:

<h2>4.5</h2>

Step-by-step explanation:

$x \times 2 + 1 = 10$

$2x + 1 = 10$

Move constant to R.H.S and change its sign

$2x = 10 - 1$

Subtract the numbers

$2x = 9$

Divide both sides of the equation by 2

$\frac{2x}{2} = \frac{9}{2}$

Calculate

$x = 4.5$

Hope this helps..

Best regards!!

6 0

2 years ago

Help ! solve the following system of equations <br><br> -9x+2y=-13<br><br> 2x-9y=20

Stella [2.4K]

Answer: x = 1, y = -2

Step-by-step explanation:

-9x+2y=-13

x= 13/9 + 2/9y

2x-9y=20

2(13/9+2/9y)-9y=20

<em>Substitute y with -2.</em>

<em />

x= 13/9+2/9(-2)

<em>After solving you'll see that 1 is a possible solution for x.</em>

<em />

Check your answer

-9x+2y=-13

-9x1+2(-2) = -13

2x-9y=20

2x1-9(-2) = 20

-13 = -13

20 = 20

Therefore, x=1 and y=-2

5 0

2 years ago

A ferry takes several trips between points A and B. It moves at a constant speed of 0.35 miles/minute and takes the same route o

Fofino [41]

The answer is -|0.35 t -14| +14

<u>Step-by-step explanation</u>:

The problem statement is asking for an expression for distance in miles, so the constants in the expression will be miles. In the time it takes to get to point B (40 minutes), the ferry has gone (0.35 mi/min)×(40 min) = 14 mi. Hence the maximum value of the function must be 14. The only function with that characteristic is the one of selection D.

7 0

2 years ago

Given that the expression 2x^3 + mx^2 + nx + c leaves the same remainder when divided by x -2 or by x+1 I prove that m+n =-6

Alla [95]

Given:

The expression is:

$2x^3+mx^2+nx+c$

It leaves the same remainder when divided by x -2 or by x+1.

To prove:

$m+n=-6$

Solution:

Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).

Let the given polynomial is:

$P(x)=2x^3+mx^2+nx+c$

It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that

$P(2)=P(-1)$ ...(i)

Substituting $x=-1$ in the given polynomial.

$P(-1)=2(-1)^3+m(-1)^2+n(-1)+c$

$P(-1)=-2+m-n+c$

Substituting $x=2$ in the given polynomial.

$P(2)=2(2)^3+m(2)^2+n(2)+c$

$P(2)=2(8)+m(4)+2n+c$

$P(2)=16+4m+2n+c$

Now, substitute the values of P(2) and P(-1) in (i), we get

$16+4m+2n+c=-2+m-n+c$

$16+4m+2n+c+2-m+n-c=0$

$18+3m+3n=0$

$3m+3n=-18$

Divide both sides by 3.

$\dfrac{3m+3n}{3}=\dfrac{-18}{3}$

$m+n=-6$

Hence proved.

7 0

2 years ago