1answer.
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
DerKrebs [107]
1 year ago
8

Find the solution(s) of the system of equations:

Mathematics
1 answer:
murzikaleks [220]1 year ago
7 0

The solutions are (0, - 6) ,(7, 8)

The given system of equations is expressed as

y = x² - 5x - 6- - - - - - - - - - - - (1)

y = 2x - 6- - - - - - - - - - - (2)

We would apply the method of substitution by substituting equation 2 into equation 1. It becomes

x² - 5x - 6 = 2x - 6

x² - 5x - 6 = 2x - 6

x² - 5x - 2x - 6 + 6 = 0

x² - 7x = 0

x(x - 7) = 0

x = 0 or x - 7 = 0

x = 7 or x = 0

Substituting x = 0 into equation 2, it becomes

y = 2 × 0 - 6

y = - 6

Substituting x = 7 into equation 2, it becomes

y = 2 × 7 - 6

y = 14 - 6

y = 8

For more information about quadratic equations, visit brainly.com/question/1214333

#SPJ9

You might be interested in
Charles has six times as many action figures as ben together the action figures total more than 75 how many does each have
seropon [69]

Answer:

We have been given that Charles has six times as many action figures as Ben

Let Ben has x action figures

So according to question Charles will have 6x.

together the action figures total more than 75

x+6x>75

7x>75

x>\frac{75}{7}

So Ben will have more than \frac{75}{7} action pictures.

And 6x>6\frac{75}{7}

6x>\frac{450}{7}

Charles will have more than \frac{450}{7}.

7 0
3 years ago
I need help pls!
vredina [299]

Answer:

Step-by-step explanation:

7 feet   1 foot is 12 inches

7*12= 84 inches.

None of the choices are correct.

90 inches is 7.5 feet

62.5 inches is 5.2 feet

75 inches is 6.25 feet

4 0
2 years ago
Brianna is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $3.75. Brianna spent $18.75 a
maxonik [38]

Answer:

6 games and 3 rides

Step-by-step explanation:

Let the number of games Brianna played be x,

and the number of rides she went on be y.

Total cost for games= 1.25x

Total cost for rides= 3.75y

Since number of games is twice the number of rides,

x= 2y -----(1)

Total costs= cost of games +cost of rides

18.75= 1.25x +3.75y

Multiply the whole equation by 4 to remove the decimals:

75= 5x +15y

Simplify by dividing the whole equation by 5:

15 = x + 3y

Label the equation:

x +3y= 15 -----(2)

Although we can solve these 2 equations by substitution, since the question requires us to graphically solve, we have to graph 2 linear lines.

I will choose 3 points to plot on the graph for each equation:

x= 2y -----(1)

\begin{tabular}{|c|c|c|c|} \cline{1-4}x & 2(1) = 2&2(2) = 4&2(3) = 6\\ \cline{1-4}y & 1 &2&3\\ \cline{1-4}\end{tabular}

x +3y= 15 -----(2)

x= -3y +15

\begin{tabular}{|c|c|c|c|} \cline{1-4}x &  -3(1)+15= 12& -3(2)+15= 9& -3(3)+15= 6\\ \cline{1-4}y & 1 &2&3\\ \cline{1-4}\end{tabular}

Let's plot these points on a graph paper. Then, join them with a straight line for each straight line graph. Please see the attached picture for the graph.

From (1): y= ½x

From (2): 3y= 15 -x

y= 5 -⅓x

From the graph, the solution of the equation is (6,3). The solution is the point on the graph in which the 2 lines intersect.

x- coordinate: 6

y- coordinate: 3

Thus, Brianna played 6 games and went on 3 rides.

8 0
3 years ago
Read 2 more answers
Two swim clubs are having a membership sale. Aqua Plus is offering a two-year membership for $237.36. Water World is offering an
Juliette [100K]

Answer:

Divide the price by the number of months to find the monthly rate.

$237.36 ÷ 24 = $9.89 per month

$184.50 ÷ 18 = $10.25 per month

<u>The two year club, Aqua Plus is cheaper</u>

Step-by-step explanation:

6 0
2 years ago
PLEASE HELP ME OUT <br><br> Convert the following<br><br> 35 mL = _____dL<br><br> 950 g = _____ kg
MArishka [77]

Answer:

950 g = 0.95 kg

35 mL = 0.35 dL

hope this helps

6 0
3 years ago
Read 2 more answers
Other questions:
  • Determine the intercepts of the line 2x+5y=-6?
    14·1 answer
  • How can we factorise the expression: 2x^6+17x^3+8?​
    15·1 answer
  • <img src="https://tex.z-dn.net/?f=4%283x-2%29%3D16" id="TexFormula1" title="4(3x-2)=16" alt="4(3x-2)=16" align="absmiddle" class
    10·2 answers
  • A phone plan as a limit of $25 that can be spent on text messages. The base cost of the text plan Will cost a user five dollars.
    15·1 answer
  • Help me yall :)))) please
    11·2 answers
  • What is 870 divided by 111 as a decimal
    8·2 answers
  • Help Please I will Give 10 Points And Brainliest!
    6·2 answers
  • Find the equation of the linear function represented by the table below in slope intercept form.
    11·1 answer
  • H = 5 ft
    9·2 answers
  • In which direction does the right side of this graph point? F(x)= -x^4-x^3+4x-2
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!