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3 years ago

Which represents the solution(s) of the equation x2 = 49?

Mathematics

2 answers:

Lady_Fox [76]3 years ago

8 0

Answer: 7,-7

Step-by-step explanation: 7 squared is 7 times 7 which equals 49

-7 times -7 is also 49 bc the negatives cancel each other out

Dmitriy789 [7]3 years ago

7 0

Answer:

If it's x², the possible answers are 7 and -7.

Step-by-step explanation:

7²=49, (-7)²=49

Those two numbers are the only numbers that fit the equation x²=49.

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Find the value of x. 65° (x + 12) X-53 X = 65 x-77 x = 103

SpyIntel [72]

Answer:

The answer is -77

Step-by-step explanation:

Hope this helped! Have a great day!

8 0

2 years ago

Write the standard form of the line passing through the following points (-5,1) and (0,-5)

Ronch [10]

Answer:

-6/5

Step-by-step explanation:

-5-1 / 0-(-5)

3 0

3 years ago

Kaylee and Olivia go to the movie theater and purchase refreshments for their friends.

KatRina [158]

The price of one bag of popcorn is $3.75

Step-by-step explanation:

Let,

x represent the cost of a bag of popcorn

y represent the cost of a drink.

According to given statement;

4x+12y=30 Eqn 1

x+6y=11.25 Eqn 2

Multplying Eqn 2 by 2

$2(x+6y=11.25)\\2x+12y=22.50\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 1

$(4x+12y)-(2x+12y)=30-22.50\\4x+12y-2x-12y=7.50\\2x=7.50$

Dividing both sides by 2

$\frac{2x}{2}=\frac{7.50}{2}\\x=3.75$

4x+12y=30 and x+6y=11.25 can be used to find the price of one bag of popcorn and the price of one drink.

The price of one bag of popcorn is $3.75

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

3 0

3 years ago

You have 100 feet of fencing and decide to make a rectangular garden. What is the largest area enclosed

k0ka [10]

Answer:

625 ft^2

Step-by-step explanation:

Given

$P = 100$ --- perimeter

Required

The largest area

The perimeter is calculated as:

$P = 2 * ( L + W)$

So, we have:

$2 * ( L + W) = 100$

Divide both sides by 2

$L + W = 50$

Make L the subject

$L = 50 - W$

The area is calculated as:

$A= L * W$

Substitute $L = 50 - W$

$A= (50 - W) * W$

Open bracket

$A = 50W - W^2$

Differentiate with respect to W

$A' = 50 -2W$

Set to 0; to get the maximum value of W

$50 - 2W = 0$

Collect like terms

$-2W = -50$

Divide by -2

$W = 25$

So, the maximum area is:

$A = 50W - W^2$

$A = 50 * 25 - 25^2$

$A = 1250 - 625$

$A = 625$

3 0

2 years ago

if x-1 is a factor of P(x)=x^3- 5x^2 + 7x-3 which of the following represents the complete factorization for P(x)?

kozerog [31]

Answer:

P(x) = (x-1)² (x-3)

Step-by-step explanation:

P(x)=x³- 5x² + 7x-3 = x² (x-1) - 4x(x-1) + 3(x-1) = (x²-4x+3)(x-1)

P(x) = (x-1)(x-3)(x-1) = (x-1)² (x-3)

3 0

3 years ago