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3 years ago

How many solutions does the following equation have 3(X + 9) = 2x + 54

Mathematics

1 answer:

kotykmax [81]3 years ago

8 0

Answer:

One solution.

Step-by-step explanation:

3(x + 9) = 2x + 54

3x + 27 = 2x + 54

3x + 27 - 2x = 2x + 54 - 2x

x + 27 = 54

x + 27 - 27 = 54 - 27

x = 27

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5) Solve: 2.4p + 6 = 48

KatRina [158]

Answer:

p = 17.5

Step-by-step explanation:

This is the answer because:

1) First, we have to isolate x

2) To isolate x, first -6 from +6 and 48

+6 - 6 = 0

48 - 6 = 42

Equation: 2.4p = 42

3) Now we are left with 2.4p = 42

4) Next, divide 2.4 from 2.4 and 42

2.4/2.4 = 0

42/2.4 = 17.5

5) We are left with

p = 17.5

Therefore, the answer is p = 17.5

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3 years ago

Y=8x-4 find y and x intercept

dlinn [17]

Answer:

<h3>The x intercept is 1/2</h3><h3>The y intercept is - 4</h3>

Step-by-step explanation:

y = 8x - 4

First to find the y intercept let x = 0

Substitute the value of x into the equation

That's

y = 8(0) - 4

y = - 4

<h3>The y intercept is - 4</h3>

To find the x intercept let y = 0

Substitute the value of y into the equation

that's

8x - 4 = 0

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3 years ago

Donald's Donuts makes both chocolate and plain glazed donuts. Each Saturday, they make 13 plain glazed donuts for every 7 chocol

Oksanka [162]

Answer:

13:5, or 13 to 5.

Step-by-step explanation:

The 13-to-5 expression can be useful when answering questions about the ratio.

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2 years ago

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f(x) = 0.2^x is transformed 9 units right, compressed vertically by a factor of 1/6 and reflected across the x-axis. Write the t

postnew [5]

Answer:

The function g(x) is defined as $g(x)=-\frac{1}{6}(0.2)^{x-9}$ .

Step-by-step explanation:

The given function is

$f(x)=-(0.2)^x$

The function f(x) transformed 9 units right, compressed vertically by factor of 1/6 and reflected across the x-axis.

The transformation of function is defined as

$g(x)=kf(x+b)+c$

Where, k is vertical stretch, b is horizontal shift and c is vertical shift.

If b>0, then the graph of f(x) shifts b units left and if b>0, then the graph of f(x) shifts b units right.

If c>0, then the graph of f(x) shifts c units upward and if c>0, then the graph of f(x) shifts c units downward.

The value of b is -9 because the graph shifts 9 units right. The value of k is 1/6. If the graph of function f(x)reflect across x-axis, therefore the function is defined as -f(x).

$g(x)=\frac{1}{6}(-f(x-9))$

$g(x)=-\frac{1}{6}(0.2)^{x-9}$ $[\because f(x)=-(0.2)^x]$

Therefore the function g(x) is defined as $g(x)=-\frac{1}{6}(0.2)^{x-9}$ .

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3 years ago

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