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3 years ago

Please help with answer!

Mathematics

1 answer:

Ghella [55]3 years ago

8 0

Answer:

0.12 x (x + 3000) = 4200

equation for her salary last year : last year's salary = (4200 / 0.12) - 3000

$32,000

Step-by-step explanation:

Let x = last year's salary

this year's salary = 3000 + x

this equation can be used to determine how much she saved this year = 0.12 x (x + 3000) = 4200

to find last year's salary, make x the subject of the formula

4200 / 0.12 - 3000 = x

x = $32,000

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Given the function f(x) = -0.5|2x + 2| + 1, for what values of x is f(x) = 6?

Licemer1 [7]

Answer:

No values of x can make f(x)=6

Step-by-step explanation:

Equation with Absolute Value

The absolute value of a number is always positive. That condition must be met when solving equations. Any condition that goes against the rule, must be discarded and not part of the solution.

The function provided in the question is:

$f(x) = -0.5|2x + 2| + 1$

We need to find the value(s) of x that make:

f(x)=6

It needs to solve the equation:

$-0.5|2x + 2| + 1=6$

Subtracting 1:

$-0.5|2x + 2| =6-1=5$

Dividing by -0.5:

$|2x + 2| =5/(-0.5)=-10$

We reach to this equation to solve:

$|2x + 2| =-10$

As stated above, the absolute value is always positive, and the equation forces the absolute value to be negative. There is no possible value of x that makes the absolute value negative, thus:

No values of x can make f(x)=6

6 0

4 years ago

A student said that the sum of the measures of a pair of adjacent angles must equal 180 degrees. Is the student correct?

spin [16.1K]

Answer:

Step-by-step explanation:

cuando sumamos la medida de un ángulo en el par con el otro ángulo en el par, el total será 180 grados.

5 0

4 years ago

The diameter of the average cell in the human body is 1 x 10-5 meters. The diameter of a grain of sand is about 2 x 10-4 meters.

Dovator [93]

PART A:

Scientific notation is given in the form of $A*10^n$
Where $A$ is a value in unit and $n$ is an integer

0.000025 is not a unit number [the number before the decimal point is of zero value]

0.000025 = 2.5 ÷ 100,000

100,000 can be written as 10⁵

0.000025 = 2.5 ÷ 10⁵ ⇒ to write this in form of multiplication form, we change 10⁵ to 10⁻⁵

0.000025 = 2.5 × 10⁻⁵

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PART B:

The diameter of a grain of sand ÷ the diameter of the average cell in the human body
= [2×10⁻⁴] ÷ [1×10⁻⁵]
= [2÷1] × [10⁻⁴×10⁻⁵]
= 2×10 ⁽⁻⁴ ⁻ ⁽⁻⁵⁾⁾ = 2 × 10¹
= 20

answer: 20 times bigger
--------------------------------------------------------------------------------------------------------------

PART C

Diameter of average cell in human body = 1 × 10⁻⁵ meter
1 meter = 1 × 10⁹ nanometer

1 × 10⁻⁵ meter = [1 × 10⁻⁵] × [1 × 10⁹] = 1 × 10⁽⁻⁵⁺⁹⁾ = 1 × 10⁴ = 10000 nanometer
------------------------------------------------------------------------------------------------------------

PART D

1 meter = 1 × 10⁹ nanometer
300 nanometer = 300 ÷ [1 × 10⁹] = [3×10²] ÷ [1×10⁹] = [3÷1] × [10²÷10⁷] = 3 × 10⁻⁵

Answer: 3 × 10⁻⁵ meter

-------------------------------------------------------------------------------------------------------------

PART E

Laws of exponents that are used in scientific notation is

$x^m*x^n=x^{m+n}$
$\frac{x^m}{x^n}=x^{m-n}$

3 0

3 years ago

LAW OF SINES ANYONE?? need good explanation..ill give brainlest

Dominik [7]

Step-by-step explanation:

So i will try to explain it:

Scientists in the past invented this formula and theory of sines:

$\frac{a}{ \sin(a) } = \frac{b}{ \sin(b) } = \frac{c}{ \sin(c) }$

So the only thing is to put the given numbers into this formula :)

The task that i've just done is like this:

$\frac{a}{ \sin(a) }$

a is the numerator,that is delighted in the triangle,well its transparent.

What about denominator?

Here is the tip:

opposite to A- side angle-a has to be put into sin(a)

sin- how to calculate?

Easy just take the trigonometric functions formula or calculate in scientific calculator that's it.

$\frac{a}{ \sin(a) } = \frac{b}{ \sin(b) }$

one of this numbers might be unknown in that case solve by proportion(equation).

Carefully contemplate my answer in the media.

I hope you understood.

Good luck!

Intelligent Muslim,

From Uzbekistan.

3 0

3 years ago

Given f(x) = 3x^3 + kx – 5, and x + 1 is a factor of f(x), then what is

DENIUS [597]

Answer:

Step-by-step explanation:

k=-6 ok

5 0

3 years ago