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2 years ago

For new customers, there is an additional one-time $100 service fee. Repeat the previous problem for new customers.

Mathematics

1 answer:

Nata [24]2 years ago

4 0

Answer:

y = 70x

Step-by-step explanation:

y=70x+100 you would get y = 70x

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If y varies directly as x and y = 5.5 when x = 11, find x when y = 3.5<br><br> help

dlinn [17]

Answer:

Step-by-step explanation:

Let us say that $y_{1}$ = 5.5, $x_{1}$ = 11, and $y_{2}$ = 3.5.

$\frac{y_{2}}{y_{1}} =\frac{x_{2}}{x_{1}}$

$\frac{3.5}{5.5} =\frac{x_{2}}{11}$

$\frac{7}{11} =\frac{x_{2}}{11}$

$x_{2} =7$

I hope this is correct and helps you!

5 0

3 years ago

Because of their connection with secant lines, tangents, and instantaneous rates, limits of the form ModifyingBelow lim With h

Gre4nikov [31]

Answer:

$\dfrac{1}{2\sqrt{x}}$

Step-by-step explanation:

$f(x) = \sqrt{x} = x^{\frac{1}{2}}$

$f(x+h) = \sqrt{x+h} = (x+h)^{\frac{1}{2}}$

We use binomial expansion for $(x+h)^{\frac{1}{2}}$

This can be rewritten as

$[x(1+\dfrac{h}{x})]^{\frac{1}{2}}$

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}$

From the expansion

$(1+x)^n=1+nx+\dfrac{n(n-1)}{2!}+\ldots$

Setting $x=\dfrac{h}{x}$ and $n=\frac{1}{2}$ ,

$(1+\dfrac{h}{x})^{\frac{1}{2}}=1+(\dfrac{h}{x})(\dfrac{1}{2})+\dfrac{\frac{1}{2}(1-\frac{1}{2})}{2!}(\dfrac{h}{x})^2+\tldots$

$=1+\dfrac{h}{2x}-\dfrac{h^2}{8x^2}+\ldots$

Multiplying by $x^{\frac{1}{2}}$ ,

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}=x^{\frac{1}{2}}+\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots$

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}=\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots$

$\dfrac{x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}}{h}=\dfrac{1}{2x^{\frac{1}{2}}}-\dfrac{h}{8x^{\frac{3}{2}}}+\ldots$

The limit of this as $h\to 0$ is

$\lim_{h\to0} \dfrac{f(x+h)-f(x)}{h}=\dfrac{1}{2x^{\frac{1}{2}}}=\dfrac{1}{2\sqrt{x}}$ (since all the other terms involve $h$ and vanish to 0.)

8 0

3 years ago

half of Mr.Carson's students play a sport.of these theses students 2/3 are male.what fraction of the class is male and play a sp

stealth61 [152]

1/2 × 2/3 = 2/6 = 1/3

1/3 of Mr. Carson's students are male and play a sport.

4 0

4 years ago

Find the value of b.

Scrat [10]

Answer:

Step-by-step explanation:

The secant- tangent angle b is half the difference of the measures of the intercepted arcs , then

b = $\frac{1}{2}$ ( 180 - 35) = $\frac{1}{2}$ × 145° = 72.5° → B

3 0

3 years ago

HELPPPP please

Nady [450]

Answer:

m = 7

Step-by-step explanation:

2m + -4 = 10

Reorder the terms:

-4 + 2m = 10

Solving

-4 + 2m = 10

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + 2m = 10 + 4

Combine like terms: -4 + 4 = 0

0 + 2m = 10 + 4

2m = 10 + 4

Combine like terms: 10 + 4 = 14

2m = 14

Divide each side by '2'.

m = 7

Simplifying

m = 7

7 0

3 years ago