Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Utilizar la calculadora gráfica de ALEKS para resolver el sistema de ecuaciones. $\newline$ $\begin{cases} 0.7x-y=4.22 \ 5-0.8x=0.2y \end{cases}$ $\newline$ Redondear a la centésima más cercana. $\newline$ $(x,y)=(\Box,\Box)$

View step-by-step help

View step-by-step help

Sine and cosine of complementary angles

Full solution

Q. Utilizar la calculadora gráfica de ALEKS para resolver el sistema de ecuaciones.

\newline

\begin{cases} 0.7x-y=4.22 \ 5-0.8x=0.2y \end{cases}

\newline

Redondear a la centésima más cercana.

\newline

(x,y)=(\Box,\Box)

Rewrite Equations: Let's start by rewriting the system of equations for clarity: $\newline$ $1$ ) $0.7x - y = 4.22$ $\newline$ $2$ ) $5 - 0.8x = 0.2y$ $\newline$ We need to solve for $x$ and $y$ .
Isolate y: First, let's isolate $y$ in the second equation to make it easier to substitute into the first equation: $\newline$ $5 - 0.8x = 0.2y$ $\newline$ Divide both sides by $0.2$ to solve for $y$ : $\newline$ $y = \frac{(5 - 0.8x)}{0.2}$ $\newline$ $y = 25 - 4x$ $\newline$ Now we have $y$ expressed in terms of $x$ .
Substitute into First Equation: Next, we substitute the expression for $y$ into the first equation: $\newline$ $0.7x - (25 - 4x) = 4.22$ $\newline$ Now, let's solve for $x$ .
Solve for x: Combine like terms: $\newline$ $0.7x + 4x - 25 = 4.22$ $\newline$ $4.7x - 25 = 4.22$ $\newline$ Add $25$ to both sides: $\newline$ $4.7x = 4.22 + 25$ $\newline$ $4.7x = 29.22$ $\newline$ Now, divide both sides by $4$ . $7$ to find x: $\newline$ $x = \frac{29.22}{4.7}$ $\newline$ $x \approx 6.21$ (rounded to the nearest hundredth)
Substitute $x$ into $y$ Expression: Now that we have $x$ , we can substitute it back into the expression for $y$ :
$y = 25 - 4x$
$y = 25 - 4(6.21)$
Calculate the value of $y$ :
$y = 25 - 24.84$
$y \approx 0.16$ (rounded to the nearest hundredth)

More problems from Sine and cosine of complementary angles

Question

Complete the Area Model that would be used to multiply

\newline

3x(x^{2}+4x+5)

\newline

by dragging the responses to the correct location.

\newline

Some parts have already been filled out for you.

\newline

3x^{3}

\newline

3x^{2}

\newline

x^{2}

\newline

x

\newline

4x

\newline

4

\newline

15x

\newline

15

Posted 2 months ago

Question

The homework for English class was to write a poem. The teacher wants to ask

4

2

2

girls, to read their poems for the class. If there are

10

15

girls, how many different combinations of

2

2

girls can the teacher select?

\newline

\left[\frac{\binom{2}{10}\cdot\binom{2}{15}}{\binom{4}{25}}\right]

\frac{2!\cdot 2!}{10!\cdot 8!}\cdot\frac{2\times}{18!18!}\cdot\frac{25!\cdot 24!\cdot 21\cdot 20}{12!\cdot 4!}

Posted 2 months ago

Question

3

4

Find the general solution in each of the following

\newline

\begin{align*}\(\newline&3.4.1, &3\sin \theta=2\cos \theta,(\newline\)&3.4.2, &2\sin^{2}y-3\cos y=4

\newline

Posted 14 days ago

Question

Quel est le résultat de l'inéquation suivante?

\newline

3(x-4)^{2}+5<14

Posted 22 hours ago

Question

Determina el conjunto solución de:

\newline

1-2 x-3 x^{2}<0

Posted 22 hours ago

Question

Determine la verdad (V) o falsedad (F) de los siguientes enunciados:

\newline

3 x-1<17

una solución es

4

8

\newline

5 x-7>20

el menor valor entero que verifica es

6

\newline

III. Es cierto que

-2<-1

\newline

IV. Es cierto que

-8>-7

\newline

Luego marque la alternativa correcta:

Posted 22 hours ago

Question

g(x)=-\dfrac{2}{3}x-5

Posted 22 hours ago

Question

Aditya's dog routinely eats Aditya's leftovers, which vary seasonally. As a result, his weight fluctuates throughout the year.

\newline

The dog's weight

W(t)

\mathrm{kg}

) as a function of time

t

(in days) over the course of a year can be modeled by a sinusoidal expression of the form

a \cdot \cos (b \cdot t)+d

\newline

t=0

, the start of the year, he is at his maximum weight of

9.1 \mathrm{~kg}

. One-quarter of the year later, when

t=91.25

, he is at his average weight of

8.2 \mathrm{~kg}

\newline

W(t)

\newline

t

should be in radians.

Posted 22 hours ago

Question

Dingane has been observing a certain stock for the last few years and he sees that it can be modeled as a function

S(t)

t

(in days) using a sinusoidal expression of the form

a \cdot \sin (b \cdot t)+d

\newline

t=0

, the stock is at its average value of

\$ 3.47

91

25

days later, its value is down to its minimum of

\$ 1.97

\newline

S(t)

\newline

t

should be in radians.

Posted 22 hours ago

Question

A toy boat is bobbing on the water.

\newline

D(t)

\mathrm{m}

) from the floor of the lake as a function of time

t

(in seconds) can be modeled by a sinusoidal expression of the form

a \cdot \sin (b \cdot t)+d

\newline

t=0

, when the boat is exactly in the middle of its oscillation, it is

1 \mathrm{~m}

above the water's floor. The boat reaches its maximum height of

1.2 \mathrm{~m}

\frac{\pi}{4}

\newline

D(t)

\newline

t

should be in radians.

Posted 22 hours ago