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2 years ago

In a linear function, the domain will always be _ and the range will always be _

Mathematics

1 answer:

Vikki [24]2 years ago

6 0

Answer:

1. x values

2. y values

hope it helps you:)

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louis wants to carpet the rectangular floor of his basement. The basement has an area of 864 square feet. The width of the basem

ivolga24 [154]

$x-\ length\\\\
\frac{2}{3}x-\ width\\\\
Area=\ length*width\\\\
864=x*\frac{2}{3}x\\\\
864=\frac{2}{3}x^2\ \ \ | divide\ by\ \frac{2}{3}\\\\
864*\frac{3}{2}=x^2\\\\
432*3=x^2\\\\
1296=x^2\ \ \ | \sqrt{}\\\\
x=36ft\\\\
Length\ is \ equal\ to\ 36ft.$

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3 years ago

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madam [21]

Answer:

B: 4 liters of soda

Step-by-step explanation:

16 / 4 = 4

Therefore,

The snack committee mixed 4 liters of soda per liter of fruit punch.

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3 years ago

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Need help Asap what is the approximate area of the circle use π =3.14

goldfiish [28.3K]

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3 years ago

Solve this equation for x: 2x^2 + 12x - 7 = 0

zhannawk [14.2K]

Answer:

x=0.5355 or x=-6.5355

First step is to: Isolate the constant term by adding 7 to both sides

Step-by-step explanation:

We want to solve this equation: $2x^2 + 12x - 7 = 0$

On observation, the trinomial is not factorizable so we use the Completing the square method.

Step 1: Isolate the constant term by adding 7 to both sides

$2x^2 + 12x - 7+7 = 0+7\\2x^2 + 12x=7$

Step 2: Divide the equation all through by the coefficient of $x^2$ which is 2.

$x^2 + 6x=\frac{7}{2}$

Step 3: Divide the coefficient of x by 2, square it and add it to both sides.

Coefficient of x=6

Divided by 2=3

Square of 3= $3^2$

Therefore, we have:

$x^2 + 6x+3^2=\frac{7}{2}+3^2$

Step 4: Write the Left Hand side in the form $(x+k)^2$

$(x+3)^2=\frac{7}{2}+3^2\\(x+3)^2=12.5\\$

Step 5: Take the square root of both sides and solve for x

$x+3=\pm\sqrt{12.5}\\x=-3\pm \sqrt{12.5}\\x=-3+ \sqrt{12.5}, $ or $x= -3- \sqrt{12.5}\\$x=0.5355 or x=-6.5355$

6 0

3 years ago

What is the solution set of -x^2-6<0 ?

natita [175]

Answer:

All real numbers

Step-by-step explanation:

Let's solve your inequality step-by-step.

−x2−6<0

Let's find the critical points of the inequality.

−x2−6=0

−x2−6+6=0+6(Add 6 to both sides)

−x2=6

−x2

−1

(Divide both sides by -1)

x2=−6

x=±√−6(Take square root)

3 0

3 years ago

In a linear function, the domain will always be _____ and the range will always be _____

In a linear function, the domain will always be _ and the range will always be _