If f(x)=5x-2 and g(x)=2x+1, find (f-g)(x)

The marked price of a cellphone is $140 after a markup of 25%. Calculate i.) the cost price for this phone. [2]

kicyunya [14]

25/100 * 140= 35
140+35= $175

8 0

3 years ago

Please tell me if the number is rational or irrational..

Yanka [14]

1. Rational comes out even. 2. Irrational 8 square rooted doesn't come out even. 3. Irrational 6 square rooted doesn't come out even. 4. .3 square rooted doesn't come out even.

5 0

4 years ago

Explain why the fractions in question number 2 are equivalent?

NISA [10]

Answer:

its 2/6ths its only multiplied by 2

Step-by-step explanation:

4 0

2 years ago

Sarah had invested $800 in a savings account that paid 4.2% interest compounded annually. How much money was in the account afte

schepotkina [342]

Answer: $943.11

<u>Step-by-step explanation:</u>

Compound Interest formula is: $A=P(1+r)^t$ where

A is the Accrued amount (total earned)
P is the Principal (amount initially invested)
r is the interest Rate (convert percent to a decimal)
t is the Time (number of years)

It is given that; P = 800 r = 4.2% (0.042) t = 4

A = 800(1 + 0.042)⁴

A = 800(1.042)⁴

A = 943.106 → A = 943.11 (rounded to the nearest penny)

Sarah invested $800 for four years at an interest rate of 4.2% and accrued $943.11

5 0

3 years ago

A long jumper lifts off 3 m after starting his run, and lands 6 m later. When he is 8 m from the start line, he is 5 cm above an

slega [8]

Answer:

The equation of the parabola that models the path of the long jumper through the air is $y = -x^{2}+12\cdot x -27$ .

Step-by-step explanation:

Mathematically, we know that parabolas are second-order polynomials and every second-order polynomials, also known as quadratic functions, can be constructed by knowing three different points of the curve. The standard form of the parabola is:

$y = a\cdot x^{2}+b\cdot x + c$

Where:

$x$ - Horizontal distance from the start line, measured in meters.

$y$ - Height of the long jumper, measured in meters.

$a$ , $b$ , $c$ - Polynomial constants, measured in $\frac{1}{m}$ , dimensionless and meters, respectively.

If we know that $(x_{1},y_{1}) = (3\,m, 0\,m)$ , $(x_{2},y_{2}) = (8\,m, 0.05\,m)$ and $(x_{3}, y_{3}) = (9\,m, 0\,m)$ , this system of linear equations is presented below:

$9\cdot a + 3\cdot b + c = 0$ (Eq. 1)

$81\cdot a + 9\cdot b + c = 0$ (Eq. 2)

$64\cdot a + 8\cdot b + c = 0.05$ (Eq. 3)

The coefficients of the polynomial are, respectively:

$a = -\frac{1}{100}$ , $b = \frac{3}{25}$ , $c = -\frac{27}{100}$

The equation of the parabola that models the path of the long jumper through the air is $y' = -\frac{1}{100}\cdot x^{2}+\frac{3}{25}\cdot x -\frac{27}{100}$ .

But we need $y$ measured in centimeters, then, we use the following conversion:

$y = 100\cdot y'$

Then, we get that:

$y = -x^{2}+12\cdot x -27$

Where $x$ and $y$ are measured in meters and centimeters, respectively.

The equation of the parabola that models the path of the long jumper through the air is $y = -x^{2}+12\cdot x -27$ .

4 0

3 years ago