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Harman [31]
3 years ago
7

3x2/5=6/5= Please I need help with this problem

Mathematics
1 answer:
Brums [2.3K]3 years ago
6 0

Answer:

1.2

Step-by-step explanation:

\frac{3x2}{5} = \frac{6}{5} = 1.2

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Need help with problems 16 and 17, please? I'll do brainiac
natali 33 [55]

Answer: 16) y=-0.5x+3 and 17) y=2x-3

Step-by-step explanation:

16: The slope-intercept form of a line is y=mx+b, where m is the slope, and b is the y-value at the y-intercept.

Since y=3 at x=0, the y-intercept is (0,3), and b=3.

Slope=\frac{y_{2} -y_{1} }{x_{2}-x_{1}  } where (x_{1} ,y_{1}) and (x_{2} ,y_{2}) are two points on the line. Choose (0,3) and (2,2):

Slope=\frac{2-3}{2-0}=-0.5

Plug m=-0.5 and b=3 into y=mx+b:

y=-0.5x+3

17: The slope-intercept form of a line is y=mx+b, where m is the slope, and b is the y-value at the y-intercept.

Because y=-3 at x=0, the y-intercept is (0,-3), and b=-3.

Slope=\frac{y_{2} -y_{1} }{x_{2}-x_{1}  } where (x_{1} ,y_{1}) and (x_{2} ,y_{2}) are two points on the line. Choose (0,-3) and (1,-1):

Slope=\frac{-3-(-1)}{0-1}=\frac{-2}{-1}=2

Plug m=2 and b=-3 into y=mx+b:

y=2x-3

5 0
3 years ago
F(x)=4^x and g(x)=4^x+2
dsp73

Given:

The two functions are:

f(x)=4^x

g(x)=4^x+2

To find:

The type of transformation from f(x) to g(x) in the problem above and including its distance moved.

Solution:

The transformation is defined as

g(x)=f(x+a)+b                .... (i)

Where, a is horizontal shift and b is vertical shift.  

  • If a>0, then the graph shifts a units left.
  • If a<0, then the graph shifts a units right.
  • If b>0, then the graph shifts b units up.
  • If b<0, then the graph shifts b units down.

We have,

f(x)=4^x

g(x)=4^x+2

The function g(x) can be written as

g(x)=f(x)+2            ...(ii)

On comparing (i) and (ii), we get

a=0,b=2

Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).

3 0
3 years ago
Sam wants to write an equation to represent a proportional relationship with a constant of proportionality of 6. He writes the e
vazorg [7]
<span>
</span>Sam wants to write an equation to represent a proportional relationship with a constant of proportionality of 6. He writes the equation y = 6 + x.
5 0
3 years ago
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You want to put a 5 inch thick layer of topsoil for a new 16 ft by 34 ft garden. The dirt store sells by the cubic yards. How ma
shepuryov [24]

Answer: About 8.5 cubic yards

Step-by-step explanation:

Given : The length of the garden = 16 ft.

The width of the garden = 34 ft.

The depth of the thick layer of topsoil on the garden = 5 inch

=\dfrac{5}{12}\text{ ft.}               [Since 1 foot = 12 inches]

The volume of a rectangular prism :-

V=l*w*h, where l is length , w is width and h is height.

The number of cubic feet of topsoil required will be

V=16\times34\times\dfrac{5}{12}=\dfrac{680}{3}\text{cubic feet}

Since 1 yard = 3 feet

1\text{ foot}=\dfrac{1}{3}\text{ yard}

V=\dfrac{680}{3}\times\dfrac{1}{3}\times\dfrac{1}{3}\times\dfrac{1}{3}=8.3950617284\approx8.50\text{cubic yards}

5 0
3 years ago
In 3 years, a gyms membership went up from 6,400 to 8,400. Which expression shows how to find the percent of increase (A) 2,000/
deff fn [24]

Answer:

B. 2000/6400

Step-by-step explanation:

Percent increase is told by the attached formula.

Plugging it in, you get 2000/6400.

6 0
3 years ago
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