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
rusak2 [61]
2 years ago
10

Select the correct responses in the table. The relationship between two numbers is described below, where x represents the first

number and y represents the second number. The square of the first number is equal to the sum of the second number and 16. The difference of 4 times the second number and 1 is equal to the first number multiplied by 7. Select the equations that form the system that models this situation. Then, select the solution(s) of the system.
​

Mathematics
1 answer:
zhenek [66]2 years ago
3 0

9514 1404 393

Answer:

  • x² = y + 16
  • 4y - 1 = 7x
  • (5, 9)

Step-by-step explanation:

Writing equations from words is mostly a matter of understanding what the English words mean.

If the first number is x, then the square of the first number is x². That is said to be equal to the sum of the second number (y) and 16:

  x² = y + 16 . . . . the first equation

The wording "the difference of A and B" is usually intended to be interpreted to mean A-B. Here, we have the difference of 4 times the second number (4y) and 1, so ...

  4y -1

This is equal to the first number (x) multiplied by 7, so ...

  4y -1 = 7x . . . . the second equation

__

These can be solved a variety of ways. When no method is specified, I like to use a graphing calculator. It shows the only integer solution for this pair of equations is ...

  (x, y) = (5, 9)

You might be interested in
If A = (0,0) and B = (8,2), what is the length of AB
Marina CMI [18]

Answer:

Hope the picture will help you

8 0
2 years ago
Write the phrase as an algebraic expression 6 less than a number times 11
iragen [17]
6-x•11 is the answer u r looking for
3 0
3 years ago
1,256,667 times 9,254,876 equals 11,630,297,258,292
kotykmax [81]

Answer:

ball sack

Step-by-step explanation:

i searched it up

8 0
3 years ago
Steven's family traveled 7/10 of the distance to his aunt’s house on Saturday. They traveled 2/3 of the remaining distance on Su
oksano4ka [1.4K]

Answer:

Step-by-step explanation:

Answer: 1/5 of the total distance to his grandmothers house was traveled on Sunday

The total distance to to his grandmothers house is assumed to be 1

Marks family traveled 7/10 of the distance to his grandmothers house on Saturday. The remaining distance would

1 - 7/10 = 3 /10

They traveled 2/3 of the remaining distance on Sunday. This means that the distance that they travelled on Sunday is

2/3 × 3/10 = 2/10 = 1/5

5 0
1 year ago
F(x)=x^3-2x+6 g(x)=2x^3+3x^2-4x+2 Find (f-g)(x).
____ [38]
(f-g)(x) = f(x) - g(x)
  = (x^3 -2x+6) - (2x^3+3x^2-4x+2)
  = x^3 -2x +6 -2x^3 -3x^2 +4x -2 . . . . distribute the negative sign
  = (1-2)x^3 -3x^2 +(-2+4)x +(6-2) . . . . . combine like terms

(f-g)(x) = -x^3 -3x^2 +2x +4
7 0
3 years ago
Other questions:
  • Find the volume of the cone.
    5·2 answers
  • angle a is supplementary to angle b. angle b is complementary to angle c . from this what can we conclude
    10·1 answer
  • Choose the missing step in the given solution to the inequality -2x-14>-4+3x
    8·2 answers
  • Triangles ABC and DEF are similar. Find e. <br><br> A.) 11<br> B.) 12<br> C.) 10<br> D.) 9
    14·2 answers
  • The mean of 19 numbers is 1600. If 2000 is added in the number. Find the new mean​
    5·1 answer
  • Please help with these three!
    8·1 answer
  • Please answer number 11 I’ll give brainliest thank you!
    14·1 answer
  • Joshua orders pictures from a photographer. Each picture costs $12.75. A one-time shipping fee of $3.25 is added to the cost of
    5·1 answer
  • A hot air balloon can hold 350 lbs of weight. Tristan wants to ride up in
    15·1 answer
  • Can someone help me on these problems and show work
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!