MATHEMATICS HIGH SCHOOL

Which represents the solution(s) of the system of equations, y = –x2 + 6x + 16 and y = –4x + 37? Determine the solution set algebraically.a.(3, 25)
b.(–3, 49)
c.(3, 25) and (7, 9)
d.(–3, 49) and (–7, 65)

Answers

Answer 1
Answer:

Answer: c.(3, 25) and (7, 9)

y = –x^2 + 6x + 16 and y = –4x + 37

Plug in -4x+37 for y in first equation . It becomes

-x^2 + 6x + 16= -4x+37

Combine like terms. add 4x  and subtract 37 on both sides

-x^2 + 10x - 21=0

Divide the whole equation by -1 to remove negative sign from -x^2

x^2 - 10x + 21=0

Now factor the left hand side

(x-7)(x-3) = 0

x-7 =0  and x-3=0

x= 7  and x=3

Now we find out y using y = –4x + 37

when  x= 7 , then y=-4(7) +37 = 9

when x= 3, then y=-4(3) + 37 = 25

We write solution set as (x,y)

(7,9)  and (3,25) is our solution set
Answer 2
Answer: TO determine the solution set of the equations given above, we can use substitution method. We do as follows:

y = –x2 + 6x + 16 and y = –4x + 37

 –x2 + 6x + 16  = –4x + 37
-x^2 +10x -21 = 0
x = 7 and 3
y = 9 and 25

Therefore, option C is the correct answer.

Related Questions

State a conclusion that seems reasonable. You eat a new kind of fruit and suffer from hives for the first time in your life. A week later, you try the fruit and the hives recur. A month later, you have a similar experience. Conclusion: ?...
The side across from the right angle is called a leg. a. True b. False?
Which of the following relations is not a function?(2, 4), (-2, 2), (2, 1), (-8, 2) (-8, 4), (2, 3), (-2, 1), (5, 2) (5, 4), (-2, 2), (2, 1), (-8, 2) (-2, 4), (2, 2), (5, 1), (-8, 5)
(10y^3+20y^2+55y)/5y
Hellllllllllllllpppppppppp

A shipping company charges 15 to ship a package and 5% of the shipping charge for insurance on the package what is the total cost to ship this particular itema $90.00
b 15.75
c 22.50
d 25.20

Answers

The total cost of shipping a package with the cost of $15 exclusive if 5% insurance is 15.75 dollars. This is calculate by getting first the 5% of 15 dollars, 15 dollars multiplied by 5%, equal to 0.75 dollars. Then it will be added to the shipping cost of 15, which is equal to 15.75 dollars.

Answer: The total cost of shipping a package with the cost of $15 exclusive if 5% insurance is 15.75 dollars. This is calculate by getting first the 5% of 15 dollars, 15 dollars multiplied by 5%, equal to 0.75 dollars. Then it will be added to the shipping cost of 15, which is equal to 15.75 dollars.

Step-by-step explanation:

After 6 years, Federico earned $1485 in simple interest from a cd into which he initially deposited $ 9000. What was the annual interest rate of the cd?A. 2.75% B.5.5% C. 8.25 D.11%

Answers

The formula for simple interest is:
I=Prt
I=interest earned
P= principal
r= rate in decimal form
t= time in years
I=Prt
1485=9000(r)(6)
1485=54000r
Divide by 54000:
0.0275=r
Change to percent form:
r=2.75%

Answer:

2.75% is the answer for apex

Step-by-step explanation:

9. A tailor has 23 metres of cloth. She wants to make 7 baju kurung of the same size. She then has 2 metres of cloth left. How many metres of cloth did she use to make each baju kurung?​

Answers

Answer:

The tailor used 3m per baju kurung.

Step-by-step explanation:

The tailor began with 23m of cloth and at the end had 2m of cloth left.  You calculate how many meters of cloth she used all together by subtracting 2 from 23:

    23m - 2m = 21m

Then you find out how many meters she used per baju kurung by dividing 21 by 7:

    21m / 7m = 3m

How do you find the system of equations for a graph?

Answers

Answer:

The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Step-by-step explanation:

Answer:

The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect. please give brainiest

Step-by-step explanation:

Jenny wants to buy the newest music from her local store. she buys 3 CDs that cost $ 36. If she gives the cashier a 50 dollar bill, how much change should she get back?

Answers

Answer:

$14 will be her change

Step-by-step explanation:

1. subtract the $36 from the 50 dollar bill

$50-$36= 14

Answer:

14 dollars

Step-by-step explanation:

you do 50-36

Simplify the expression x2/5^10

A. X^1/5
B. X^1/4
C. X^4
D. X^5

Answers

Answer:

324 minutes

Step-by-step explanation:
Other Questions
How to find the perimeter and the area of a rectangle on a coordinate plane using the distance formula? : A(3,8) B(5,4) C(-4,-1) D(-6,3) Round to the nearest tenth if necessary.
Going top to bottom label them as A, B, C, and D
Can someone help me please?
Find the area of a sector with a central angle of 110° and a diameter of 6 cm. Round to the nearest tenth.