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2 years ago

Given p(x) = x+7/3 if p(x) = 13, find x.

Mathematics

1 answer:

Shtirlitz [24]2 years ago

3 0

Answer:

x = $\frac{32}{3}$

Step-by-step explanation:

We know that p(x) = 13. Thus, substitute 13 for the "p(x)" in the equation. Then, isolate x by subtracting both sides by $\frac{7}{3}$ :

$p(x) = x + \frac{7}{3}\\13 = x + \frac{7}{3} \\13 - \frac{7}{3} = x \\\frac{39}{3}- \frac{7}{3} = x \\\frac{32}{3} = x$

Thus, x = $\frac{32}{3}$ .

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A.<br> Create a model to show 2 x 5.

Rzqust [24]

Answer: You meant a picture?

Step-by-step explanation: The model is here:

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2 years ago

Ahmed received a box of gifts. The box is a rectangular prism with the same height and width, and the length

liubo4ka [24]

Answer:

12 inches

Step-by-step explanation:

Ahmed received a box of gifts. The box is a rectangular prism with the same height and width, and the length

is twice the width. The volume of the box is 3,456 in? What is the height of the box?

Volume of a Rectangular pyramid = Length × Width × Height

From the above question

Height = Width = x

Length = 2 × Width

Length = 2x

Volume = 3,456 cubic inches

Hence,

3,456 = 2x × x × x

3456 = 2x³

x³ = 3456/2

x³ = 1728

Cube root both sides

Cube root(x³) = cube root (1728 cubic Inches)

x = 12 inches

Therefore, the height is 12 inches

3 0

3 years ago

Percy solved the equation x2 + 7x + 12 = 12. His work is shown below. Is Percy correct? Explain.

antoniya [11.8K]

= > x² + 7x + 12 = 12

= > x² + ( 4 + 3 )x + 12 = 12

= > x² + 4x + 3x + 12 = 12

= > x( x + 4 ) + 3( x + 4 ) = 12

= > ( x + 4 ) ( x + 3 ) = 12

Percy did correct till this step. But by doing like this, Percy can't get the values of the variable x.

Percy should follow the following steps :

= > x² + 7x + 12 = 12

Add -12 on both sides,

= > x² + 7x + 12 - 12 = 12 - 12

= > x² + 7x = 0

= > x( x + 7 ) = 0

= > ( x = 0 ) or ( x + 7 = 0 )

= > ( x = 0 ) or ( x = - 7 )

Hence, required value(s) of x is 0 or -7
$.$

8 0

3 years ago

Read 2 more answers

Determine whether each set of numbers can be the measure of the sides of a triangle. If so, classify the triangle as acute, righ

ElenaW [278]

The following set of numbers 2√3, 4√2, and 3√5, can be the measures of the sides of an obtuse triangle.

A triangle is a polygon with three sides and three vertices.

To know if a set of number is a valid measure of the sides of a triangle, it must follow the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side, such that a + b > c, a + c > b, and b + c > a.

let a = 2√3, b = 4√2, and c = 3√5

a + b > c 2√3 + 4√2 > 3√5 9.12 > 6.71 True

a + c > b 2√3 + 3√5 > 4√2 10.17 > 5.66 True

b + c > a 4√2 + 3√5 > 2√3 12.37 > 3.46 True

To know what type of triangle based on the length of its side:

1. Take the sum of the squares of the two smaller sides.

(2√3)^2 + (4√2)^2 = 44

2. Compare it to the square of the largest side.

(3√5)^2 = 45

44 < 45

If the sum of the squares of the 2 is larger than the square of the 3rd, it is an acute triangle.

if they are equal, it is a right triangle

if they are smaller, then it is an obtuse triangle.

Hence, 2√3, 4√2, and 3√5 can be the measure of the sides of an obtuse triangle.

To learn more about types of triangle based on side lengths: brainly.com/question/13619935

#SPJ4

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1 year ago

Before each football game, a coin is flipped to decide who will be on offense and defense. If the last twelve coin tosses result

ololo11 [35]

Answer:

C. each result is equally likely to occur

Step-by-step explanation:

There are only two options, heads or tails. And they both have a 50% chance.

5 0

3 years ago

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