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lutik1710 [3]
3 years ago
6

Fill in the blanks so that the equation has the solution of x={-4,-1}

Mathematics
1 answer:
alexgriva [62]3 years ago
4 0

Answer:

The equation that gave the solution provided is either

x² + 5x + 4 = 0 or k(x² + 5x + 4) = 0 where k = real number

Step-by-step explanation:

Although, the question isn't complete and the blanks to be filled aren't provided, Hence, we can work out a quadratic equation from the solutions for x given

The solutions for x include x = -4 or x = -1

x = -4 or x = -1

(x + 4) = 0 or (x + 1) = 0

So,

(x+4)(x+1) = 0

x² + 4x + x + 4 = 0

x² + 5x + 4 = 0

Hence, the equation that gave this solution is either x² + 5x + 4 = 0 or a constant multiple of the equation obtained; k(x² + 5x + 4) = 0

Hope this Helps!!!

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A boxplot helps to visualize the variability of a distribution. Five statistics form a boxplot, often referred to as the five-nu
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Answer:

75%

Step-by-step explanation:

minimum data point to 1st quartile contains 25% of data

1st quartile to median contains 50% of data

median to 3rd quartile contains 75% of data

3rd quartile to maximum data point represents all of the data

6 0
2 years ago
PLEASE HELP WILL GIVE BRAINLIEST!
AveGali [126]

Answer:


Step-by-step explanation:

treadmills=x

stattionary bikes=x+7

equation

25=x+x+7

25=2x+7


solve for x

2x=18

x=9

treadmills=9

stationary bikes=9+7

=16

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3 years ago
How is the function, y=x-3 related to y = x? Graph the function by translating the parent function.
aliina [53]
It is 3 units down to parent function
6 0
3 years ago
Which equation is y = –3x2 – 12x – 2 rewritten in vertex form?
WARRIOR [948]
Y=-6-12x-2
y=-6-12x-2
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and these are real numbers
7 0
3 years ago
Read 2 more answers
Cynthia Besch wants to buy a rug for a room that is 24 ft wide and 33 ft long. She
qaws [65]
<h3>Answer:   16 ft by 25 ft</h3>

=========================================================

Explanation:

Refer to the diagram below.

The outer dimensions 24 ft and 33 ft shrink down to 24-2x ft and 33-2x ft respectively. This subtraction of 2x is due to subtracting two copies of x per side.

The carpet has area of (24-2x)(33-2x)

Cynthia can afford to buy 400 sq ft of carpet

So we set 400 equal to that previous expression and solve for x

(24-2x)(33-2x) = 400

24(33-2x) - 2x(33-2x) = 400

792-48x - 66x + 4x^2 = 400

4x^2 - 114x + 792 = 400

4x^2 - 114x + 792-400 = 0

4x^2 - 114x + 392 = 0

From here, use the quadratic formula to isolate x.

Plug in a = 4, b = -114, c = 392

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-114)\pm\sqrt{(-114)^2-4(4)(392)}}{2(4)}\\\\x = \frac{114\pm\sqrt{6724}}{8}\\\\x = \frac{114\pm82}{8}\\\\x = \frac{114+82}{8} \ \text{ or } \ x = \frac{114-82}{8}\\\\x = \frac{196}{8} \ \text{ or } \ x = \frac{32}{8}\\\\x = 24.5 \ \text{ or } \ x = 4\\\\

The two possible solutions are x = 24.5 and x = 4

But if x = 24.5, then 24 - 2x = 24 - 2*24.5 = -25 which isn't possible. We cannot have a negative width or negative length for the carpet.

Luckily x = 4 does work since

24 - 2x = 24 - 2*4 = 16

33 - 2x = 33 - 2*4 = 25

Both results are positive.

Therefore, the carpet has dimensions of <u>16 ft by 25 ft</u>

Check: 16*25 = 400, so the answer is confirmed

5 0
1 year ago
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