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
bija089 [108]
3 years ago
12

The solutions to the equation 2x^2 + x - 1 = 2 are x = -3/2 or x = _______.

Mathematics
1 answer:
garik1379 [7]3 years ago
4 0

Answer:

The remaining solution to the equation is x = 1

Step-by-step explanation:

2x^2 + x - 1 = 2

First set the equation to zero by subtracting 2 from each side:

2x^2 + x - 1 - 2 = 2 - 2

2x^2 + x - 3 = 0

Factor the left side of the equation:

2x^2 + x - 3 = 0

(2x + 3)(x - 1) = 0

Now set each factor to zero and solve:

2x+ 3 = 0

2x+ 3 - 3  = 0 - 3

2x= -3

2x/2= -3/2

x= -3/2 (The given expression)

x - 1 = 0

x - 1 + 1 = 0 + 1

x = 1

Since we already knew x = -3/2, the missing solution is x = 1.

You might be interested in
A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio
Basile [38]

Answer:

W_{max}=480m\\ L_{max}=160m

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, \implies 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

  • x_{max}=-b/2a
  • f(x)_{max}=f(x_{max})

Since our function is A(L)=640L-2L², we get

  • a=-2
  • b=640

plug in the value of a and b into the first formula:

L_{max}=-(640)/2(-2)\implies 160

A(L)_{max}=640(160)-2(160)^2\implies 76800

hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>

and we're done!

3 0
2 years ago
In a 4 day period, a delivery person delivered the following number of
Westkost [7]

Answer: 1400 packages

Step-by-step explanation:

1150+1200+1900+1350 divided by the 4 day interval means and average of:

1400 packages per day

6 0
3 years ago
The boeing 747 airplane is 250 feet in length. If a model of this plane is 8 inches long , what scale was used to create this mo
cluponka [151]

Answer: The wingspan is 36 m.

Using a proportion to solve this, we write the scale factor as a ratio first:  19/38, since 19 is the size of the model's length and 38 is the real length.  For the second ratio, we have 18 for the size of the model wingspan and x for the real wingspan:

19/38 = 18/x

Cross multiply:

19*x = 38*18

19x = 684

8 0
3 years ago
EASY --------What is cos K?<br>​
Mamont248 [21]

Answer: C 7/25

Step-by-step explanation:

4 0
3 years ago
What ordered pair is 5 units away from (-5,-3)
icang [17]

Answer:

(4, -3)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Evaluate g(n-7) if g(x) = <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2-5%7D%7B3n%7D" id="TexFormula1" title="\frac{x^2-5}{3
    5·1 answer
  • A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled?
    6·1 answer
  • The points(1,r) and (5,-4) lie on a line with slope 5. find the missing coordinate r. ​
    14·1 answer
  • Systems -6=3x-6y, 4x=4+5y
    14·2 answers
  • What do we get when we break apart 46+26 using place value?
    7·1 answer
  • In the diagram, line r is parallel to BC.
    15·2 answers
  • What fraction equals to 4
    13·2 answers
  • If bis a positive rational number, which expression might result in an<br> irrational number?
    6·1 answer
  • How to apply the distributive property to
    13·1 answer
  • 4x-3y=6 <br> 4x+y=14 type a ordered pair
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!