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3 years ago

The table shows the cost for different numbers of t-shirts.

Mathematics

1 answer:

arlik [135]3 years ago

3 0

Answer:

proportional bc all of them are 1 shirt = 12.95

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Click to see equation, show work pls!

BlackZzzverrR [31]

Answer:

x = 6, 9

Step 1:

To solve this equation, we need to subtract 3 from both sides like this:

$3\sqrt{x-5} +3(-3)=x(-3)\\3\sqrt{x-5} =x-3$

Step 2:

We square both sides (multiply using FOIL) to get rid of the radical.

$(3\sqrt{x-5} )^2 = (x-3)^2\\(3\sqrt{x-5} )^2: 9x-45\\ (x-3)^2: x^2+6x+9\\\\9x-45=x^2-6x+9$

If you did not understand how these were done, here is an example:

(x + 1)(x + 2)

First terms: x * x = x^2

Outer terms: x * 2 = 2x

Inner terms: 1 * x = x

2x - x = x

Last terms: 1 * 2 = 2

x^2 + x + 2

Step 3:

Solve for x:

9x - 45 = x^2 - 6x + 9

x^2 - 6x + 9 (+45) = 9x - 45 (+45)

x^2 - 6x + 54 (-9x) = 9x (-9x)

x^2 - 15x + 54 = 0

Factor:

(x^2 - 6x) + (- 9x + 54)

x(x - 6) - 9(x - 6)

Factor out (x - 6):

(x - 6)(x - 9) = 0

x - 6 = 0; 6 - 6 = 0

x - 9 = 0; 9 - 9 = 0

Our anwer: x = 6, 9

6 0

3 years ago

Read 2 more answers

The vertices of a right triangle are (0, 0), (1, 0), and (0, 1).

Alchen [17]

Answer:

(3,3)

Step-by-step explanation:

Given

$Vertices: (0,0)\ (1,0)\ (0,1)$

$Scale\ Factor = 3$

Required

Determine which can't be any of the new vertices

First, we need to determine the new vertices:

$New\ Vertex = Scale\ Factor * Old\ Vertex$

For (0,0):

$New\ Vertex = 3 * (0,0)$

$New\ Vertex = (3 * 0,3 * 0)$

$New\ Vertex = (0,0)$

For (1,0):

$New\ Vertex = 3 * (1,0)$

$New\ Vertex = (3 * 1,3 * 0)$

$New\ Vertex = (3,0)$

For (0,1):

$New\ Vertex = 3 * (0,1)$

$New\ Vertex = (3 * 0,3 * 1)$

$New\ Vertex = (0,3)$

Comparing the calculated new vertices to the list of given options; (3,3) can't be any of the new vertices of the new triangle

5 0

4 years ago

What is the value of the y-intercept of the graph <img src="https://tex.z-dn.net/?f=f%28x%29%3D-6x7.5%5Ex" id="TexFormula1" titl

Veseljchak [2.6K]

Answer:

y-intercept = (0,0)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

5 0

3 years ago

In △abc, ∠b is a right angle, ab⎯⎯⎯⎯⎯=1091⎯⎯⎯⎯√ab¯=1091 meters, bc⎯⎯⎯⎯⎯=30bc¯=30 meters, and ca⎯⎯⎯⎯⎯=100ca¯=100 meters. what is

Montano1993 [528]

Answer: $\text{tan a}= \frac{3\sqrt{91} }{91}$

Step-by-step explanation:

Since, in the triangle abc,

ab = 10√91 unit, bc = 30 unit, ca = 100 unit and m∠b = 90°

⇒ $\text{tan a} = \frac{bc}{ab}$

⇒ $\text{tan a} = \frac{30}{10\sqrt{91}}$

⇒ $\text{tan a} =\frac{3}{\sqrt{91}}$

⇒ $\text{tan a} = \frac{3\times \sqrt{91}}{\sqrt{91}\times \sqrt{91}}$

⇒ $\text{tan a} = \frac{3\sqrt{91}}{91}$

Which is the required value of tan(∠a).

3 0

3 years ago

Which number can be multiplied to a rational number to explain that the product of a rational number and an irrational number is

liraira [26]

Answer:

What are the answer choices?

Step-by-step explanation:

6 0

3 years ago