Which statement describes the first step to solve the equation by completing the square? 2x^2+12x=32 Multiply both sides of the equation by 16 .
Add 6 to each side of the equation.
Multiply both sides of the equation by 12 .
Add 36 to each side of the equation.
Answers
Answer:
Option C is correct
Multiply both sides of the equation by
Step-by-step explanation:
Given the equation:
Multiply both sides by we get;
Simplify:
Subtract 16 from both sides we have;
Therefore, the first step to solve the equation by completing the square is,
Multiply both sides of the equation by
Related Questions
When ordering a sundae, you may choose three toppings from their list of 10 available. Assuming that your chosen toppings must be different, how many different sundaes with three toppings can you order?
E 125° G F mZGFH = [?]° H
Jayden gets a piece of candy for every 15 minutes he spends reading each day. The number of pieces of candy he receives each day is shown in the chart Monday = * * * Tuesday = * * Wednesday = * * * * * Thursday = Friday = * * * * If he spends 300 minutes reading during the week, how many pieces of candy did Jayden get on Thursday?
What is the correct simplified form of 3±95√3 ?
Answers
Answer:
Step-by-step explanation:
How to find the amount of interest owed for the first year of the loan?
To calculate the interest owed for the first year of the loan, we need to consider the loan amount, the annual interest rate, and the loan term.
In this case, borrowing $700,000 for 16 years at an annual interest rate of 7.4%.
The interest owed for the first year can be determined by multiplying the loan amount by the annual interest rate:
Interest = Loan Amount * Annual Interest Rate
Interest = $700,000 * 0.074
Calculating this, we find that the interest owed for the first year is approximately $51,800.30.
Answers
From the information given, 4 added to the unknown number is equal to 2 times the unknown number when it is subtracted from 19.
Let the number be x
x + 4 = 19 - 2 (x)
We now expand and simplify the equation by placing unknown on one side and the known on the other side
x + 4 = 19 - 2x
x + 2x = 19 - 4
3x = 15
x = 15 /3
x = 5
What are the coordinates of the y-intercept of the line?
Answers
Answer:
(0,13)
Step-by-step explanation:
The equation y = 6x + 13 is in the slope - intercept form of y=mx + b, where m is the slope and b is the y-intercept. The y-intercept (b) is the value of y when x = 0. This means that the line will intersect the y axis at 13, when x is zero. = (0,13)
↠ Answer :
(0,13)
↠ Step-by-step explanation :
We're given the following equation :
→ y = 6x + 13
Notice that this equation is in slope-intercept form (y = mx + b); here, m is the slope and b is the y-intercept. So, the y-intercept is 13.
To find the coordinates, remember that a y-intercept has the form (0,b). The value of b is 13. So, the coordinates are (0,13).
Answers
month1)200
month2)400
month3) 800
month4) 1600
month5) 3200
month6) 6400
month7)12800
Final answer:
The population of insects is doubling each month. To figure out the population after 7 months, we can use the formula for exponential growth, 2^n, where n is the number of months. Using this formula, after 7 months, there will be 12,800 insects.
Explanation:
The population of insects is doubling each month, so the insect population is growing exponentially. To calculate the population after 7 months, you can use the formula for exponential growth, which is 2^n, where n is equal to the number of time periods, in this case, months.
After 1 month, the population is 100 * 2 = 200. After 2 months, the population is 200 * 2 = 400, and so on. After 7 months, we can calculate as follows:
100 * 2^7 = 100 * 128 = 12800 insects. So, after 7 months, there will be 12,800 insects if the population doubles each month.
Learn more about Exponential Growth here:
#SPJ3
3x + 2y = 4
A) (-2, 5)
B) (1, 4)
C) (2, -1)
D) (4, -4)
Answers
Answer:
(C) (2,-1)
Step-by-step explanation:
The given system of equations is :
(1)
and (2)
Multiply equation (1) with 2 and then subtract equation (2) from it, we get
⇒
⇒
⇒
Substitute the value of x=2 in equation (1), we get
⇒
⇒
⇒
Therefore, x=2 and y=-1. that is (2,-1).
A : 5.-2 + 5 ≠9 not solution
B : 5.1 + 4 = 9 so 3.1 + 2.4 = 11 ≠4 not solution
C: 5.2 + = 9 so 3.2 + 2.-1 = 4 both are right then C is solution
D: 5.4 - 4 = 16 ≠ 9 not solution
Answers
A=bh/2
137.5=Bx11/2
137.5=11b/2
137.5=5.5b
137.5/5.5=25
So the base would be 25 cm. To check, do the actual formula from the start.
A=bh/2
A=25x11/2
A=275/2
A=137.5! The answer is right! The base is 25 cm! Hope that helps! :)