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
Vanyuwa [196]
3 years ago
6

Let $x$ be a value such that $8x^2 + 7x - 1 = 0$ and $24x^2+53x-7 = 0.$ What is the value of $x$? Express your answer as a simpl

ified common fraction.
Mathematics
1 answer:
Fittoniya [83]3 years ago
6 0

8x^2+7x-1=0\ \wedge\ 24x^2+53x-7=0\\\\\text{The equation:}\\\\24x^2+53x-7=8x^2+7x-1\qquad\text{subtract}\ 8x^2\ \text{and}\ 7x\ \text{from both sides}\\\\16x^2+46x-7=-1\qquad\text{add 1 to both sides}\\\\16x^2+46x-6=0\qquad\text{divide both sides by 2}\\\\8x^2+23x-3=0\\\\8x^2+24x-x-3=0\\\\8x(x+3)-1(x+3)=0\\\\(x+3)(8x-1)=0\iff x+3=0\ \vee\ 8x-1=0\\\\x+3=0\qquad\text{subtract 3 from both sides}\\\boxed{x=-3}\\\\8x-1=0\qquad\text{add 1 to both sides}\\8x=1\qquad\text{divide both sides by 8}\\\boxed{x=\dfrac{1}{8}}

You might be interested in
The statement tan theta -12/5, csc theta -13/5, and the terminal point determined by theta is in quadrant 2."​
Harlamova29_29 [7]

Answer:

Answer C:

Cannot be true because csc(\theta)  is greater than zero in quadrant 2.

Step-by-step explanation:

When the csc of an angle is negative, since the cosecant function is defined as:

csc(\theta)=\frac{1}{sin(\theta)}

that means that the sin of the angle must be negative, and such cannot happen in the second quadrant. The sine function is positive in the first and second quadrant.

Therefore, the correct answer is:

Cannot be true because  csc(\theta)  is greater than zero in quadrant 2.

6 0
3 years ago
Plzzzzzzzzzzzzzzzzaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
erastovalidia [21]

Answer:

Option A

Step-by-step explanation:

Number of employees exceeded their sales quota = 17

Number of employees met their sales quota = 13

Number of employees didn't exceed their sales quota = 3

Now, we need to find the ratio of the number employees who exceeded their sales quota to the number of employees who didn't exceed their sales quota,

17:13 + 3\\=17:16

So, Option 'A' is correct.

Please mark as Brainliest!!

3 0
3 years ago
Write the decimal as a fraction 0.12
Juli2301 [7.4K]
The answer is 12/100. This is because the 12 is a 100 decimal place.
7 0
4 years ago
Read 2 more answers
Given f(x)=2a^2b+3a^3b^2+2a^2b^4 what is the degree?
lilavasa [31]
We have the following function:
 f (x) = 2a ^ 2b + 3a ^ 3b ^ 2 + 2a ^ 2b ^ 4
 We note that the function depends on x because it is f (x).
 However, there is no variable x in the function.
 Therefore we can assume that the function is constant, since:
 a = constant
 b = constant
 Therefore, the degree of the function is zero
 Answer:
 
The function is zero degree.
7 0
3 years ago
Need some help please...
Nesterboy [21]

Answer:

C: Starting at 1103 you gain 91 feet each additional hour of climing.

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • A company makes concrete bricks shaped like rectangular prisms. Each brick is 11 inches long,8 inches wide, and 5 inches tall. I
    10·1 answer
  • What is the ratio for 2 red paper clips to 6 blue paper clips? Write it as a fraction.
    10·2 answers
  • 68 is 85% of what number
    13·2 answers
  • Write variable expression: b minus the quotient of c and a
    8·1 answer
  • Helpppp helppp helppp​
    12·1 answer
  • Uber charges $0.80 per mile and a booking fee of $2.30. Lyft charges $1.07 per mile with no booking fee. Which of the systems of
    11·1 answer
  • At a certain college there are twice as many English majors as history majors and three times as many English majors as mathemat
    6·1 answer
  • Removing which point from the coordinate plane would make the graph a function of x?
    5·2 answers
  • Evaluate: y = {2+In 3​
    15·1 answer
  • Bryan earns $11.80 per hour. He is paid time and a half for hours worked over 8 hours in a day. Yesterday Bryan worked 9.25 hour
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!