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
MAVERICK [17]
3 years ago
13

For which values of p and q, will the following pair of linear equations have infinitely many

Mathematics
1 answer:
Tema [17]3 years ago
3 0
In order to have infinitely many solutions with linear equations/functions, the two equations have to be the same;
In accordance, we can say:
(2p + 7q)x = 4x [1]
(p + 8q)y = 5y [2]
2q - p + 1 = 2 [3]
All we have to do is choose two equations and solve them simultaneously (The simplest ones for what I'm doing and hence the ones I'm going to use are [3] and [2]):
Rearrange in terms of p:
p + 8q = 5 [2]
p = 5 - 8q [2]
p + 2 = 2q + 1 [3]
p = 2q - 1 [3]
Now equate rearranged [2] and [3] and solve for q:
5 - 8q = 2q - 1
10q = 6
q = 6/10 = 3/5 = 0.6

Now, substitute q-value into rearranges equations [2] or [3] to get p:
p = 2(3/5) - 1
p = 6/5 - 1
p = 1/5 = 0.2
You might be interested in
On a map, two cities are 4 and 1/4 inches apart. The scale of the map is 1/2 inch = 3 miles. What is the actual distance between
garik1379 [7]

Answer:

25,5 miles

Step-by-step explanation:

4.25 inch on map

4.25/0.5 = 8,5

8,5 * 3 = 25,5 miles

4 0
3 years ago
Given the relation y = 7x2 + 3, if the input is 4, what is the output? (4 points)
aivan3 [116]
I'm assuming that you meant: 
y = 7x² + 3 

Remember! Inputs are always x values (unless stated otherwise). Meaning the problem says: 
x = 4 

y = 7(4)² + 3 

The square only applies to the 4. The 7 is not going to be squared! (To be exact it only applies to whatever the value of x is. 

4² = 4·4 = 16

Remember: 
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Follow PEMDAS from left to right (or in the case above from top to bottom).

7·16 + 3 = ? 

16·7 = 10·7 + 6·7 = 70 + 42 = 112
(All I did to multiply was break it up into parts. If it confuses you don't worry about it, and just multiply it out like normal or use a calculator if you are allowed to)

112 + 3 = ? 

Our output is: 
115!
4 0
3 years ago
Read 2 more answers
I need help with number 16 please and fast because it's due tomorrow. :)
solniwko [45]
Im gonna take an educated guess on this. for the first part only one element has an outershell filled completely. but if they want two elements put chlorine. to lose electrons is probably helium to gain is magnesium. and the last one is lithium and helium because they're small and don't have allot of atomic mass
4 0
3 years ago
An assembly line inspector inspected 340 machine parts. 323 of the parts passed inspection. What percent of the machine parts di
tester [92]

Answer:

5% did not pass inspection

Step-by-step explanation:

Given

Inspected= 340

Passed = 323

Required

Determine the percentage of parts that didn't pass inspection.

First, we need to calculate the number of those that didn't pass inspection.

Failed = Inspected - Passed

Failed = 340 - 323

Failed = 17

Next, we calculate the percentage as follows:

\% = \frac{Failed}{Inspected} * 100\%

The above formula is derived by dividing the number of parts that didn't pass inspection by the total machine inspected, then multiplied by 100%

So:

\% = \frac{17}{340} * 100\%

\% = \frac{17 * 100\%}{340}

\% = \frac{1700\%}{340}

\% = 5\%

<em>5% did not pass inspection</em>

6 0
3 years ago
Anyone pls helppp meeeee
Citrus2011 [14]

Answer:

c answer becoz may ifhridyrhfujghrhrjjtufuueb

3 0
2 years ago
Other questions:
  • Point charges q1 = 2.0 µc and q2 = 4.0 µc are located at →r 1 = (4.0 i ^ − 2.0 j ^ + 5.0k ^ )m and →r 2 = (8.0 i ^ + 5.0 j ^ − 9
    12·1 answer
  • When deriving the distance formula, Eowyn starts with two points, A(x1,y1) and B(x2,y2). She then draws point C on a horizontal
    11·1 answer
  • Find the difference of 18.6 and 5.24.*​
    8·1 answer
  • Which of the following is the complete factorization of (x^4 -16)
    10·1 answer
  • Create an equivalent fraction that could also be written as a decimal
    12·1 answer
  • The graph below shows a scatter plot and a linear model
    10·2 answers
  • A 8 ft tall tent standing next to a lawn ornament casts a 4 ft shadow. If the lawn
    14·2 answers
  • Overall, about how many students prefer literature (poems, plays, or novels)?
    8·1 answer
  • Can someone please help me​
    7·1 answer
  • Could someone help me giving brainliest
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!