MATHEMATICS HIGH SCHOOL

Which equation has the same solutions as the equation given below? x^2 +18x+32=0

A. (x+4)^2=81

B. (x+9)^2=49

C. (x+6)^2=36

D. (x+2)^2=16

Answers

Answer 1
Answer:

Answer:

B

Step-by-step explanation:

Also solved eveything

(x+9)^2=49

x^2+18x+81=49

x^2+18x+32=0

a=1, b=18 and c=32

x= (-18 +/- Sqrt (18^2-4×32))/2

x= (-18 +/- Sqrt (324-128))/2

x= (-18 +/- Sqrt (196))/2

x= (-18 +/- 14)/2

x= (-18 +14)/2 = -4/2 =-2

OR

x= (-18 -14)/2 = -32/2 =-16

Answer 2
Answer:

Answer:

B.

Step-by-step explanation:

For Quadratic Equations, use the formula to complete the square:

I am joyous to assist you anytime.


Related Questions

MIDDLE SCHOOL

Brittany is selling car magnets. She purchased a them for $7.50 each and marks up the price by 30%. How much is Brittany planning to charge

Answers

Hello! So Brittany plans to sell car magnets that she purchased at $7.50 and mark them up by 30%. To find the new price, we can multiply 7.50 * 1.30. When multiplied, it gives us 9.75. Brittany is planning to charge $9.75 for the car magnets.
HIGH SCHOOL

A student's work to distribute and simplify a radical is shown below. Select the statement which best applies to the sample mathematical work.given (-5√20+√3)*(2+√3), i first distribute to get the expression -10√20-5√60+2√3+√9, which i can simplify to -40√5-20√15+2√3+3 for an answer.Which simplifies to 10 as the answer? A. The student did not properly distribute the radicals.
B. The student did not properly combine the radicals.
C. The student did not properly simplify the radical at the end.
D. The work shown above is correct.

Answers

(-5 + ) * (2 + ) = 
-10 - 5 +2 +  = 

 



The problem is the student square root wrongly

The final results is:

-20 - 10 +  +3

The right answer for the question above is: 
C. C. The student did not properly simplify the radical at the end.
MIDDLE SCHOOL

PetSmart.com sold the following varieties of dog food in June 2003. Nature's Recipe Venison Meal & Rice Canine 20 percent protein, $21.99 per 20-lb bag

Nutro Max Natural Dog Food 27 percent protein, $12.99 per 17.5-lb bag

PetSmart Premier Oven Baked Lamb 25 percent protein, $22.99 per 30-lb bag

A dog breeder wants to make 300 pounds of a mix containing 22 percent protein. How many bags of each dog food variety should the breeder buy? (Hint: Note that each bag is a different weight and fractions of bags may not be purchased.)

Answers

Let x  be the number of bags of Nature's Recipe Venison Meal & Rice Canine 20 percent protein, y be the number of bags of Nutro Max Natural Dog Food 27 percent protein and z be the number of bags of PetSmart Premier Oven Baked Lamb 25 percent protein a dog breeder buys. He  wants to make 300 pounds of a mix. Then

20x+17.5y+30z=300.

Now

  • in 20x pounds of Nature's Recipe Venison Meal & Rice Canine 20 percent protein is 0.2·20x=4x pounds of protein;
  • in 17.5y pounds of Nutro Max Natural Dog Food 27 percent protein is 0.27·17.5y=4.725y pounds of protein;
  • in 30z pounds of PetSmart Premier Oven Baked Lamb 25 percent protein is 0.25·30z=7.5z pounds of protein;
  • in 300 pounds of mix containing 22 percent protein is 0.22·300=66 pounds of protein.

Then 4x+4.725y+7.5z=66.

You get a system

From the first equation Substitute it into the second equation:

Simplify it:

y must be divided by 20, then

  • y=0, x=9, z=10-6=4;
  • y=20, x=16, z is not a whole number;
  • y=40, x=23,  z is not a whole number;
  • y=60, x=30, z=10-20-35
MIDDLE SCHOOL

What is the value of 2y+3 when y=4?

Answers

2y+3 y=4
ok first you replace y with 4
2(4)+3
first you must do 2(4) based on order of operations
=8
ok now 8+3
=11
For y=4

(2)(4)+3

(2)(4)+3

=11

MIDDLE SCHOOL

In the first week students at RSM solved 25 percent of their monthly quota of problems. In the second week, they solved 110 percent of the number of problems solved in the first week. In the third week they solved 60 percent of the number of problems they had solved in the first two weeks and, in the fourth week, they solved the remaining 320 problems. How many problems did students solve in the four-week month?

Answers

Answer:

2,000 problems

Step-by-step explanation:

We know the students solved the following amount of problems:

Week 1 - 25% of the month

Week 2 - 110% of the first week--> this means 25(1.10)=27.5%

Week 3 - 60% of the first two week--> this means 0.6(25+26.5)=31.5%

Week 4 - 320 problems --> this is 16% of the quota since 100-25-27.5-31.5=16%

So we know that 320 is 16%. We can set up a proportion to find the total amount.

We solve by cross multiplying by multiplying numerator and denominator on opposite fractions.

The quota for the month is 2,000 problems.


COLLEGE

Althea has $100. She divides it evenly among her 4 children. Her oldest child, Raul, spends $15 of the amount he receives. How much money does Raul have left after he spends $15?

Answers

She gives each of her children $25 each, if Raul spends $15 then he would have $10 left.
MIDDLE SCHOOL

3 yards per second. How many miles per hour

Answers

Carmel Indiana to in the answer is the size is 200 or 3 100 mm you can make it into ur so make it more easy app is there for you thanks a million I have a great day
HIGH SCHOOL

Find the vertex and y-intercept for 5 and 6

5) y=x^2+8x+10

6) 3x^2-6x+7

Answers

5) vertex: (-4,-6)   /    y-intercept: 10

6) vertex: (1,4)    /     y-intercept: 7 
HIGH SCHOOL

Find f(-2).

f(x) = 9x2 - 5x + 2
A) 14
B) 18
C) 28
D) 48

Answers

F(x) = 9x² - 5x + 2 

f(-2) = 9(-2)² - 5(-2) + 2
f(-2) = 36 + 10 + 2 
f(-2) = 48
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