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3 years ago

I need help with 2-5 please

Mathematics

1 answer:

babymother [125]3 years ago

6 0

Answer:

plppppppppp

Step-by-step explanation:

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Matthew earns $0.10 for each local newspaper he delivers twice a week. His brother earns $0.25 for delivering each Sunday newspa

kramer

Let the number of houses the boys deliver newspaper = x

Matthew delivers 2x newspapers

His brother delivers x newspapers,

Matthew earns per paper = $0.10

Matthew delivers twice a week so he earns = $0.10\times2=0.20$

His brother earns per newspaper = $0.25

So, equation becomes,

$0.20x+0.25x=13.95$

$0.45x=13.95$

$x=31$

So, there are 31 houses where both these boys deliver newspapers.

Hence, Matthew delivers 2*31= 62 newspapers

His brother delivers 31 newspapers.

So, option A : Matthew: 62 papers; brother: 31 papers is the right option.

4 0

2 years ago

A rectangular solar panel has a length that is 12 inches shorter than 3 times its width. If the perimeter of the panel is 160 i

Ber [7]

Answer:

width = 23 inches

length = 57 inches

Step-by-step explanation:

Let x inches be the width of the rectangular solar panel.

So,

width = x inches

3 times the width = 3x inches

12 inches shorter than 3 times the width = 3x - 12 inches

length = 3x - 12 inches

The perimeter of the rectangle is

$P=2(\text{Width}+\text{Length})$

Hence,

$160=2(x+3x-12)\\ \\160=2(4x-12)\\ \\80=4x-12\ [\text{Divided by 2}]\\ \\4x=80+12\\ \\4x=92\\ \\x=23\ inches\\ \\3x-12=3\cdot 23-12=69-12=57\ inches$

8 0

2 years ago

Find the inverse <br><img src="https://tex.z-dn.net/?f=f%28x%29%3D%7Be%7D%5E%7B3x%20-%201%7D%20" id="TexFormula1" title="f(x)={e

FromTheMoon [43]

Answer:

$f^{-1}(x)=\dfrac{1}{3}(\ln x +1)$

Step-by-step explanation:

Given function:

$f(x)=e^{3x-1}$

Replace f(x) with y:

$\implies y=e^{3x-1}$

Take natural logs of both sides:

$\implies \ln y = \ln e^{3x-1}$

Apply the Power Log Law $\ln x^n=n\ln x$ :

$\implies \ln y = (3x-1)\ln e$

As $\ln e=1$ then:

$\implies \ln y = 3x-1$

Rearrange to make x the subject:

$\implies 3x=\ln y +1$

$\implies x=\dfrac{1}{3}(\ln y +1)$

Swap x for $f^{-1}(x)$ and y for x:

$\implies f^{-1}(x)=\dfrac{1}{3}(\ln x +1)$

8 0

1 year ago

Solve for x. please please i need help help me please

erastova [34]

The answer is 11 because the longer side would be 16

5 0

2 years ago

Evaluate the function<br> f(x) = - 2x^2 + 2x + 4<br> Find f(1)

AlekseyPX

Answer:

f(1) = 4

Step-by-step explanation:

f(x) = - 2x^2 + 2x + 4

f(1) = - 2(1)^2 + 2(1) + 4

f(1) = -2 + 2 + 4

f(1) = 4

6 0

1 year ago