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3 years ago

12

Dan and Dave can work together to paint a house in 4 days. Dan works twice as fast as Dave. How long would it take each of them

to paint the house alone? please help answer i need it soon

1 answer:

SSSSS [86.1K]3 years ago

8 0

Answer:

Dan=6 days Dave=12 days

Step-by-step explanation:

1/2x + 1/x = 1/4

multiply each by 8x bc 4 * 2x = 8x

4 + 8 = 2x

12 = 2x

6 = x

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Which statement is true

loris [4]

Answer:

Step-by-step explanation

You must find the common denominator for all of them.

A is correct. 13 x 2 is 26 and 14 x 2 is 28. Therefore, 13/14 is greater than 25/28.

B is not correct. 4 x 5 is 20 and 9 x 5 is 45. 4/9 is actually less than 21/45.

C is not correct. 5 x 2 is 10 and 6 x 2 is 12. 5/6 is actually less than 11/12.

D is not correct. 4 x 5 is 20 and 5 x 5 is 25. 4/5 is actually less than 8/25.

4 0

3 years ago

Calculate the rate of change from the graph below

qaws [65]

Answer:

The rate of change is 0.75 gallons per minute

Step-by-step explanation:

The rate of change of the linear relation is represented by the slope of the line which represents this relation

The rule of the slope of a line is

m = Δy/Δx, where

Δy is the vertical change
Δx is the horizontal change

From the given graph

∵ The line passes through points (0, 0) and (4, 3)

∴ Δx = 4 - 0 = 4

∴ Δy = 3 - 0 = 3

→ Use the rule of the slope above to find the slope of the line

∴ m = $\frac{3}{4}$ = 0.75

∵ The x-axis represents the time in minutes

∵ The y-axis represents the amount in gallons

∵ m represents the rate of change

∴ The rate of change = 0.75 gallons per minute

7 0

3 years ago

Given f(x) = x^2 - 5x, find f(x-3)

Hoochie [10]

Answer:

f(x-3)= x^2 -11x +24

Step-by-step explanation:

We want to find an equivalent expression for f(x-3)

To do this, we can simply substitute every 'x' variable in f(x) by 'x-3'

Therefore f(x-3)= (x-3)^2 -5*(x-3)

Lets re arrange the expression by grouping terms.

f(x-3)=x^2 - 6x +9 -5x + 15

f(x-3)= x^2 -11x +24

3 0

3 years ago

Please help solve for x..

aalyn [17]

Answer:

x = 1 or x = -1

Step-by-step explanation:

Given equation:

$x^{100}-4^x \cdot x^{98}-x^2+4^x=0$

Factor out -1:

$\implies -1(-x^{100}+4^x \cdot x^{98}+x^2-4^x)=0$

Divide both sides by -1:

$\implies -x^{100}+4^x \cdot x^{98}+x^2-4^x=0$

Rearrange the terms:

$\implies 4^x \cdot x^{98}-4^x-x^{100}+x^2=0$

$\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c \quad \textsf{to }x^{100}:$

$\implies 4^x \cdot x^{98}-4^x-x^{98}x^2+x^2=0$

Factor the first two terms and the last two terms separately:

$\implies 4^x(x^{98}-1)-x^2(x^{98}-1)=0$

Factor out the common term $(x^{98}-1)$ :

$\implies (4^x-x^2)(x^{98}-1)=0$

<u>Zero Product Property</u>: If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Using the <u>Zero Product Property</u>, set each factor equal to zero and solve for x (if possible):

$\begin{aligned}x^{98}-1 & = 0 & \quad \textsf{or} \quad \quad4^x-x^2 & = 0 \\x^{98} & =1 & 4^x & = x^2 \\x & = 1, -1 & \textsf{no}& \textsf{ solutions for } x \in \mathbb{R}\end{aligned}$

Therefore, the solutions to the given equation are: x = 1 or x = -1

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1 year ago

X+4 is the same as 4+x

babunello [35]

Yes it is the same , just written differently

3 0

3 years ago

Read 2 more answers