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
Marina CMI [18]
3 years ago
12

The system of equations graphed below has how many solutions?

Mathematics
1 answer:
Artist 52 [7]3 years ago
5 0
Answer: C) 0

The lines are parallel. They never cross. To have a solution, the lines need to intersect. Each intersection is a solution. That's why there are no solutions here. The system is inconsistent.

Note how the slopes are both 1/2 while the y intercepts are different. Parallel lines have equal slopes but different y intercepts.
You might be interested in
Fedex typically deleviers 2,400 packages per day and uses 75 trucks for delivery. If the number of trucks used per day is propor
irina1246 [14]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
Cynthia Besch wants to buy a rug for a room that is 24 ft wide and 33 ft long. She
qaws [65]
<h3>Answer:   16 ft by 25 ft</h3>

=========================================================

Explanation:

Refer to the diagram below.

The outer dimensions 24 ft and 33 ft shrink down to 24-2x ft and 33-2x ft respectively. This subtraction of 2x is due to subtracting two copies of x per side.

The carpet has area of (24-2x)(33-2x)

Cynthia can afford to buy 400 sq ft of carpet

So we set 400 equal to that previous expression and solve for x

(24-2x)(33-2x) = 400

24(33-2x) - 2x(33-2x) = 400

792-48x - 66x + 4x^2 = 400

4x^2 - 114x + 792 = 400

4x^2 - 114x + 792-400 = 0

4x^2 - 114x + 392 = 0

From here, use the quadratic formula to isolate x.

Plug in a = 4, b = -114, c = 392

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-114)\pm\sqrt{(-114)^2-4(4)(392)}}{2(4)}\\\\x = \frac{114\pm\sqrt{6724}}{8}\\\\x = \frac{114\pm82}{8}\\\\x = \frac{114+82}{8} \ \text{ or } \ x = \frac{114-82}{8}\\\\x = \frac{196}{8} \ \text{ or } \ x = \frac{32}{8}\\\\x = 24.5 \ \text{ or } \ x = 4\\\\

The two possible solutions are x = 24.5 and x = 4

But if x = 24.5, then 24 - 2x = 24 - 2*24.5 = -25 which isn't possible. We cannot have a negative width or negative length for the carpet.

Luckily x = 4 does work since

24 - 2x = 24 - 2*4 = 16

33 - 2x = 33 - 2*4 = 25

Both results are positive.

Therefore, the carpet has dimensions of <u>16 ft by 25 ft</u>

Check: 16*25 = 400, so the answer is confirmed

5 0
2 years ago
g Bonus: Assume that among the general pediatric population, 7 children out of every 1000 have DIPG (Diffuse Intrinsic Pontine G
patriot [66]

Answer:

0.9586

Step-by-step explanation:

From the information given:

7 children out of every 1000 children suffer from DIPG

A screening test designed contains 98% sensitivity & 84% specificity.

Now, from above:

The probability that the children have DIPG is:

\mathbf{P(positive) = P(positive \  |  \ DIPG) \times P(DIPG) + P(positive  \ | \  not \DIPG)\times P(not  \ DIPG)}= 0.98\imes( \dfrac{7}{1000}) + (1-0.84) \times (1 - \dfrac{7}{1000})

= (0.98 × 0.007) + 0.16( 1 - 0.007)

= 0.16574

So, the probability of not having DIPG now is:

P(not \ DIPG \  |  \ positive) = \dfrac{ P(positive  \ | \  not DIPG)\timesP(not \  DIPG)} { P(positive)}

=\dfrac{ (1-0.84)\times (1 - \dfrac{7}{1000}) }{ 0.16574}

=\dfrac{ 0.16 ( 1 - 0.007) }{0.16574}

= 0.9586

8 0
3 years ago
There are 30 students in a class and 40% of the class like orange juice how many studesnt love orange juice
Dovator [93]
What is 40% of 30?

first, convert the percent into a decimal
40% = 0.4

then multiply 0.4 with 30

30*0.4 = 12

12 students

any questions?


6 0
3 years ago
Help me if your to cool for school...
tankabanditka [31]

Answer:

i think its set B..........

4 0
2 years ago
Read 2 more answers
Other questions:
  • Use the graph for all 3 question
    13·2 answers
  • 2 • a • b • a • b=<br> simplify the expression in the exponential notation
    10·1 answer
  • URGENT NEED HELP 20pts
    9·2 answers
  • What is the rate of change to 2y=14x+6
    6·1 answer
  • The function f is defined by f(x)=-x2+2x-7. What is the value of f(-3)?
    9·1 answer
  • Liz wants to buy her favorite musical group’s new cd. the cd costs $15.24, including tax. liz gives the store clerk a twenty-dol
    12·1 answer
  • A projectile is shot into the air following the path, h(t) = -3t2 + 12t - 5. At what time, value of t, will it reach a maximum h
    7·1 answer
  • Can you help please ❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️
    5·2 answers
  • The circumference of a circle is 7π in. Find its radius, in inches.
    6·2 answers
  • The table shows the amount of sugar needed to make lemonade. Are the quantities proportional? Explain which method you used and
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!