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2 years ago

5. Solve for each inverse. a. If y = 4x - 10, solve for x.

Mathematics

1 answer:

GREYUIT [131]2 years ago

5 0

Answer:

x = $\frac{y+10}{4}$

Step-by-step explanation:

Given

y = 4x - 10 ( add 10 to both sides )

y + 10 = 4x ( divide both sides by 4 )

$\frac{y+10}{4}$ = x

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Which of the following situations describes a function? Remember you are looking for an independent variable and a dependent var

BlackZzzverrR [31]

The situation that is a function is: C. The weight of a package and the cost of postage.

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A function can be described as a relation whereby there can only be one exact possible output value (dependent variable) for every input value (independent variable) in the relation. This means, no input value has two different output values. However, two different input values can have the same output value.

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Therefore, the situation that is a function is: C. The weight of a package and the cost of postage.

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9 months ago

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hammer [34]

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4 0

2 years ago

Can someone please help me on this? thanks!!

tankabanditka [31]

Answer:

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6 0

2 years ago

Fill in Sin, Cos, and tan ratio for angle x. <br> Sin X = 4/5 (28/35 simplified)

Fantom [35]

Answer:

Given: $\sin(x) = (4/5)$ .

Assuming that $0 < x < 90^{\circ}$ , $\cos(x) = (3/5)$ while $\tan(x) = (4/3)$ .

Step-by-step explanation:

By the Pythagorean identity $\sin^{2}(x) + \cos^{2}(x) = 1$ .

Assuming that $0 < x < 90^{\circ}$ , $0 < \cos(x) < 1$ .

Rearrange the Pythagorean identity to find an expression for $\cos(x)$ .

$\cos^{2}(x) = 1 - \sin^{2}(x)$ .

Given that $0 < \cos(x) < 1$ :

$\begin{aligned} &\cos(x) \\ &= \sqrt{1 - \sin^{2}(x)} \\ &= \sqrt{1 - \left(\frac{4}{5}\right)^{2}} \\ &= \sqrt{1 - \frac{16}{25}} \\ &= \frac{3}{5}\end{aligned}$ .

Hence, $\tan(x)$ would be:

$\begin{aligned}& \tan(x) \\ &= \frac{\sin(x)}{\cos(x)} \\ &= \frac{(4/5)}{(3/5)} \\ &= \frac{4}{3}\end{aligned}$ .

7 0

1 year ago

At a bake sale, as student spent $11.00 buying 3 brownies and 5 cookies. His friend spent $3.95 buying 1 brownie and 2 cookies.

dybincka [34]

Answer:

$2.25

Step-by-step explanation:

Let "b" be the price of 1 brownie and "c" the price of 1 cookie.

At a bake sale, a student spent $11.00 buying 3 brownies and 5 cookies. Symbolicaly,

3 b + 5 c = 11.00 [1]

His friend spent $3.95 buying 1 brownie and 2 cookies. Symbolicaly,

1 b + 2 c = 3.95

b = 3.95 - 2c [2]

If we replace [2] in [1], we get

3 (3.95 - 2c) + 5 c = 11.00

11.85 - 6c + 5c = 11.00

c = 0.85

If we replace c = 0.85 in [2], we get

b = 3.95 - 2 (0.85) = 2.25

8 0

2 years ago