answer.
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
nadezda [96]
2 years ago
5

If 49x2 + 28x - 10 is rewritten as p2 + 4p -10, what is p in terms of p=

Mathematics
1 answer:
madam [21]2 years ago
6 0

Answer:

p=7x

Step-by-step explanation:

49x^[2] + 28x - 10 = p^[2] + 4p -10

This equation is in the form a^[2]x + bx + c.

<u><em>The 'c' is common for both equations, this means the 'a' and 'b' must also be common. </em></u>

There are two ways to find p: 'a' or 'b'

<u>a method</u>

49x^[2] = p^[2]

=> The square root of both sides = 7x = p

<u>b method</u>

28x = 4p

28x/4 = 4p/4

7x = p

You might be interested in
Three snack bars contain 1/5, 0.22, and 19% of their calories from fat. Which snack bar contains the least amount of calories fr
BabaBlast [244]
Converting all values to decimal, we have
1/5 = 0.2
19% - 19/100 = 0.19

Therefore the snack that contains 19% has the least amount of calories from fat.
4 0
2 years ago
containers a and b hold 11,875 L of water together. conatainer b holds 2,391L more than container B holds. How many Liters of wa
Licemer1 [7]
Step 1 : 11875=2x+2391 Step 2: 11875-2391=2x Step 3: 9484=2x Step 4: 9484/2=x Step 5: x=4742
4 0
2 years ago
An auto dealership sells minivans and sedans. In January, they sold 10
igor_vitrenko [27]

Answer: They are both equal

Step-by-step explanation: 10 x 14 = 20 x 7

5 0
2 years ago
A sports club needs to raise at least $500 by selling chocolate bars for $2.50 each. Sebastian wants to know how many chocolate
mario62 [17]

Answer:

The inequality should be written as $2.50 times c is greater than or equal to c.

Step-by-step explanation:

First, identify what you know:

1) Each chocolate bar is $2.50

2) Sebastian needs to raise at least $500

So, Sebastian needs to sell at least enough chocolate bars to hit $500. The inequality cannot be written as less than or equal to, because he can't sell less than the number of chocolate bars needed to make $500.

Automatically, I can calculate the minimum number of bars he'll need to sell.

500/2.50 = 200 chocolate bars minimum

c must equal greater than or equal to $500, for Sebastian to raise enough money! So, basically Sebastian has to sell 200 bars OR more.

Hope this helps! :)

4 0
2 years ago
Read 2 more answers
Samir is trying to decide between two checking account plans. After researching plans at two banks, he finds that Unity Bank off
GREYUIT [131]

Answer:

The monthly compounded interest rate of 0.14% of Unity Bank is a better plan.

Step-by-step explanation:

<em>Step 1 : Write the formula for calculating a monthly compound interest rate and for calculating an annually compounded interest rate.</em>

Monthly compound interest rate = P(1+r/n)^nxt

<em>n=12 (number of months in a year)</em>

<em>t=1 (number of years)</em>

Annually compound interest rate = P(1+r/n)^nxt

<em>n=1 (because it is for 1 year only)</em>

<em>t=1 (number of years=1)</em>

<em>Step 2 : Lets assume that P is $100 in both banks and time is 1 year.</em>

<em>Step 3 : Lets substitute the values to find out which one is better.</em>

Monthly compound interest rate = P(1+r/n)^nxt

Monthly compound interest rate = 100(1+0.14/12)^12x1

Monthly compound interest rate = 114.93

114.93 - 100 = $14.93 per month

14.93 x 12 = $179.16 for 12 months or 1 year

Annually compound interest rate = P(1+r/n)^nxt

Annually compound interest rate = 100(1+1.6/1)^1x1

Annually compound interest rate = 260

260-100 = $160 for 1 year

Therefore, the monthly compounded interest rate of 0.14% of Unity Bank is a better plan.

!!

8 0
2 years ago
Read 2 more answers
Other questions:
  • Michael has 3 quarters, 2 dimes, and 3 nickels in his pocket. He randomly draws two coins from his pocket, one at a time, and th
    13·2 answers
  • Which is the endpoint of a ray?<br><br> point R<br> point S<br> point T<br> point U
    17·3 answers
  • Expand (3 - 2x)6. What is the coefficient of the sixth term?
    13·1 answer
  • The graph of the function f is shown. f(3) =
    13·2 answers
  • Why did farmer jones keep the chickens away frome the other animals
    7·1 answer
  • Cameron bought twelve pounds of candy corn for 79 cents a pound and eighteen pounds of M&amp;Ms for $1.09 a pound, planning to m
    6·1 answer
  • What it 18.93 in radical form
    11·1 answer
  • Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 26, the length of A C is 10, and the leng
    10·2 answers
  • Nina has x coins. Clayton has 5 fewer coins than six times the number of coins Nina has. Write an expression for the total numbe
    7·2 answers
  • The function y=-x^2+65x+256 models the number y of subscribers to a website, where x is the number of days since the website lau
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!