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
Novay_Z [31]
3 years ago
7

8p + 2q = -16 2p - q=2

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
8 0

Answer:

p = -1  q = -4

Step-by-step explanation:

a system of eq and solve for p and q ???  can do  :)

Eq. 1)  8p + 2q = - 16

Eq. 2)  2p - q = 2

use Eq .2 and solve for q

2p - 2 = q

plug into Eq.1 with q

8p +2(2p - 2) = - 16

8p +4p -4 = -16

12p = - 12

p = -1

plug -1 into Eq. 1 for p and solve for q

8(-1) + 2q = - 16

-8 + 2q = - 16

2q = -8

q = -4

You might be interested in
The complement of an angle is $5^{\circ}$ more than four times the angle. what is the number of degrees in the measure of the an
Anna11 [10]

Answer:

  17°

Step-by-step explanation:

Let x represent the measure of the angle.

  (90 -x) = 5 + 4x . . . . the complement is 5° more than 4 times the angle

  85 = 5x . . . . . . . . . . add x-5 to both sides

  17 = x . . . . . . . . . . . . divide by 5

The measure of the angle is 17°.

3 0
3 years ago
Read 2 more answers
Betty invests $45,000 into a cd which has an interest rate of 6.3% that compounds monthly for a total of 5 years. how much will
Lelechka [254]

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$45000\\ r=rate\to 6.3\%\to \frac{6.3}{100}\dotfill &0.063\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &5 \end{cases} \\\\\\ A=45000\left(1+\frac{0.063}{12}\right)^{12\cdot 5}\implies A=45000(1.00525)^{60}\implies A\approx 61611

5 0
1 year ago
HELP FAST PLEASE!!!
Alisiya [41]

Answer:

y = -0.75x + 9.5

Step-by-step explanation:

Equation of a circle is given as :

(x-a)^{2} + (y-b)^2 = r^{2} \\(x-6)^{2} + (y-5)^2 = 4^{2}\\x^{2} - 12x + 36 + y^{2} -10y + 25 = 16\\x^{2} - 12x  + y^{2} -10y + 45 = 0\\

Take the derivative of the above with respect to x

2x - 12 + 2y dy/dx - 10 dy/dy = 0\\\frac{dx}{dy} = \frac{6 - x}{y-5} \\At (2,8) dy/dx = (6-2)/(8-5) = 4/3\\dy/dx = 4/3\\The slope of the tangent to the circle, m = \frac{-1}{dy/dx} \\m = \frac{-1}{4/3}\\m= -0.75

The equation of the tangent is given by :

y - y_{1} = m(x - x_{1})\\ y - 8 = -0.75(x - 2)\\y - 8 = -0.75x + 1.5\\y = -0.75x + 9.5

8 0
3 years ago
Read 2 more answers
20pts!!! PLS HELP!!!
vodka [1.7K]

Answer:

(x - 1) x (5x + 4)

Step-by-step explanation:

5 x 2 – 4 = 6

5 x 4 – 4 = 16  

6 x 2 – 11x – 4 = 56    

5 x 2 – x – 4 = (x - 1) x (5x + 4)

5 0
3 years ago
What is 3/4 divided by 1/3
mash [69]

Answer:

2.25

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • the first six terms of a pattern are given below. write an equation to represent the pattern. 8,13,18,23,28 and 33
    5·1 answer
  • Samuel is solving the equation 3 (x minus 1) + 4 = 2 minus (x + 3). Which equivalent equations might Samuel use? Check all that
    9·1 answer
  • What kind of solution is 2(7x-5)=14x- 10?
    9·1 answer
  • PLEASE HELP ME IM BEGGING I also need the work shown
    7·1 answer
  • It is about 1.62×10⁶ miles from Venus to Earth. It is about 5.4×10⁷ from Earth to Mars. How far is it total from Venus to Earth
    8·1 answer
  • Several members at a gym were asked how many minutes they worked out at the gym that day as well as how many calories they burne
    15·1 answer
  • Population Bellingham, Washington, had an area of 25.4 mi? and a population
    5·1 answer
  • If you earn $195 in
    10·2 answers
  • Question 2 Multiple Choice Worth 4 points)
    14·1 answer
  • Rectangle WXYZ has vertices at W(−6, 1) , X(−1, 6) , Y(2, 3) , and Z(−3, −2) .
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!