answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GalinKa
3 days ago
11

What is the solution to the system of equations? y = A system of equations. Y equals StartFraction one-third EndFraction minus 1

0. 2 x plus y equals 4.X – 10 2x + y = 4
Mathematics
2 answers:
lawyer [9.2K]3 days ago
4 0

Response:

(6,-8).

Detailed explanation:

We have a set of equations provided. Our task is to find the solution for this system.

y=\frac{1}{3}x-10...(1)

2x+y=4...(2)

Starting from equation (2), we will derive:

y=4-2x...(2)

Next, by inserting this value into equation (1), we will achieve:

4-2x=\frac{1}{3}x-10

After multiplying both sides by 3, we will arrive at:

3\cdot 4-3\cdot 2x=3\cdot \frac{1}{3}x-3\cdot 10

12-6x=x-30

12-6x-x=x-x-30

12-7x=-30

12-12-7x=-30-12

-7x=-42

\frac{-7x}{-7}=\frac{-42}{-7}

x=6

Now substituting this back into equation (2), we will find:

y=4-2(6)

y=4-12

y=-8

Thus, the solution to our specified set of equations is (6,-8).

babunello [8.4K]3 days ago
3 0

Response:

A

Detailed explanation:

You might be interested in
Isaac is purchasing two pairs of shoes—one pair for $37.00 and the second pair for $42.00. The state sales tax applied to Isaac’
tester [8842]

Respuesta:

El total de la factura de Isaac es $84.53

Explicación detallada:

$37.00 + $42.00 = $79.00 < b (factura)

b + t (impuesto sobre ventas) = c (costo total)

(7%/100 = 0.07)

(0.07 * 79 = 5.53)

(t = $5.53)

$79.00 + $5.53 = $84.53

¡Buena suerte!

6 0
26 days ago
Read 2 more answers
Kendra is choosing bouquets of flowers for table centerpieces. She decides to buy 40 bouquets for $120 because she thinks that p
babunello [8412]

Answer:

Find below:

Step-by-step explanation:

To determine this, we will either calculate the total cost of acquiring 40 bouquets at $2.50 each or find the single bouquet’s cost at $120.

Cost of one in pack of 40 priced at $120.

120 divided by 40 equals $3

Now, we notice that $3>$2.50

This indicates Kendra has made an error by purchasing the 40 bouquet pack at $120

Hope this helps.

Good Luck

7 0
5 days ago
Find the measure of x. Line PU has points R and S between points P and U, lines QR and ST are parallel, line QR intersects line
Leona [9271]

Response:

  • Solution for x is 1

Detailed explanation:

Line PU acts as a transversal intersecting parallel lines QR and ST

The angles PRQ and UST sum to 180 degrees

  • 15(x+2) = 180 - 135
  • 15x + 30 = 45
  • 15x = 15
  • x = 1
5 0
14 days ago
Read 2 more answers
Which of the following best describes the slope of the line below?
tester [8842]
It exhibits a zero slope.

In the case of a horizontal line, the slope remains constant at 0 since there is no variation.
7 0
16 days ago
A baseball is thrown up in the air. The table shows the heights y (in feet) of the baseball after x seconds.
lawyer [9240]

Answer:

Alright, we can express the baseball's motion with an equation like:

h(x) = a*x^2 + b*x + c

Here, x denotes time, while h(x) indicates height.

Let’s construct this:

The acceleration is:

a(t) = a

For velocity, integrating over time results in:

v(x) = a*x + v0

Where v0 signifies the initial vertical velocity.

Subsequently, we can determine position or height by integrating once more:

h(x) = a*x^2 + v0*x + h0

Here, h0 is the initial height.

<pthus our="" equation="" is:="">

h(x) = a*x^2 + v0*x + h0.

<pexamining the="" table:="">

When x = 0s, h(0s) = 6ft

<pthus:>

h(0s) = a*0s^2 + v0*0s + h0 = 6ft

            h0 = 6ft.

It’s also noted that:

h(2s) = h(4s)

<pthe symmetry="" of="" the="" quadratic="" function="" implies="" that="" axis="" lies="" between="" and="" located="" at="" x="3s.&lt;/p"><pin a="" standard="" quadratic="" function:="">

a*x^2 + b*x + c

The symmetry line is given by:

x = -b/2a

<pin this="" instance:="">

b = v0

a = a

<ptherefore we="" derive:="">

3s  = -v0/(2*a)

v0 = -3s*(2a)

<phaving gathered="" all="" necessary="" data="" for="" our="" equation="" we="" can="" express="" it="" as:="">

h(x) = a*x^2 - 6s*a*x + 6ft

<pnext focusing="" on="" just="" one="" variable="" we="" know="" that="" at="" x="2s," h=""><pso:>

h(2s) = 22ft = a*(2s)^2 - 6s*a*2s + 6ft

<pthus our="" resulting="" equation="" reads:="">

h(x) = (-2ft/s^2)*x^2 + (12ft/s)*x + 6ft

b) The height after 5 seconds is expressed as:

h(5s) =  (-2ft/s^2)*(5s)^2 + (12ft/s)*5s + 6ft = 16ft

</pthus></p></pso:></pnext></phaving></ptherefore></pin></pin></pthe></pthus:></pexamining></pthus>
7 0
1 month ago
Other questions:
  • Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
    12·1 answer
  • The probabilities are 0.4, 0.2, 0.3 and 0.1, respectively, that a delegate to a certain convention arrived by air, bus, automobi
    11·1 answer
  • The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.
    8·2 answers
  • Find the amount paid for the loan.<br> $2400 at 10.5% for 5 years
    12·1 answer
  • The dye dilution method is used to measure cardiac output with 3 mg of dye. The dye concentrations, in mg/L, are modeled by c(t)
    11·1 answer
  • HELP!!!! 2 dot plots. Both number lines go from 0 to 10. Plot 1 is titled fifth grade. There are 2 dots above 1, 3 above 2, 1 ab
    5·2 answers
  • Earyn owns French Twist Hair Salon. She charges $35 for a cut an $120 for a cut and color combo. Yesterday she had seven clients
    11·1 answer
  • Tell me weather 16641 is a perfect square by division method an please show me the solution too​
    7·2 answers
  • Alice is making an octahedron out of origami. The last step requires her to blow into the octahedron to fill it up.
    12·1 answer
  • Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!