Multiply (3x-2) (2x+3)

Answer:

A. 3

Step-by-step explanation:

ΔDEC is bigger than ΔABC by 5. For the hypotenuse, 25 is 5 times bigger than 5.

So, side DE on ΔDEC has to be 5 times bigger than side AB on ΔABC.

If side AB equals 3, side DE equals 18 - 3, which is 15.

15 is five times bigger than 3, so the answer is A. 3.

Hope that helps.

Answer:

x ∈ R, x ≠ 9

Step-by-step explanation:

Given

f(x) = [tex]\frac{1}{x-9}[/tex]

The denominator of f(x) cannot be zero as this would make f(x) undefined.

To find the value that x cannot be, equate the denominator to zero and solve for x

x - 9 = 0 ⇒ x = 9 ← excluded value

Thus the domain is x ∈ R, x ≠ 9

Answer:

N

Step-by-step explanation:

Since this hexagon has six sides, and to end up back at E again we’d need to rotate 360°, this means for every side we cross it’s a 60° turn.

Therefore, [tex]60 \cdot 2 = 120[/tex]° would be two sides.

Since we are moving counter-clockwise, the image for E would be to the left of it.

Two sides/points to the left of E is N, so the image of E for a 120° counterclockwise rotation around the center of this shape would be N.

Hope this helped!

Answer:

  11

Step-by-step explanation:

The Law of Cosines is useful when you have two sides of a triangle and the angle between.

  v^2 = w^2 +u^2 -2wu·cos(V)

  v^2 = 6^2 +16^2 -2·6·16·cos(27°)

  v^2 = 292 -171.0733

  v ≈ 10.9966

  v ≈ 11

Answer:

[tex]\boxed{AC = 2.3}[/tex]

Step-by-step explanation:

AD = BD  (CD bisects AB means that it divides the line into two equal parts)

So,

AD = BD = AB/2

So,

AD = 3/2

AD = 1.5

Now, Finding AC using Pythagorean Theorem:

[tex]c^2 = a^2+b^2[/tex]

Where c is hypotenuse (AC), a is base (AD) and b is perpendicular (CD)

[tex]AC^2= (1.5)^2+(\sqrt{3} )^2[/tex]

[tex]AC^2 = 2.25 + 3[/tex]

[tex]AC^2 = 5.25[/tex]

Taking sqrt on both sides

[tex]AC = 2.3[/tex]

Answer:

[tex]\boxed{2.29}[/tex]

Step-by-step explanation:

The length of AB is 3 units.

The length of CD is [tex]\sqrt{3}[/tex] units.

D is the mid-point of points A and B.

AD is half of AB.

[tex]\frac{3}{2} =1.5[/tex]

Apply Pythagorean theorem to solve for length of AC.

[tex]c=\sqrt{a^2 +b^2 }[/tex]

The hypotenuse is length AC.

[tex]c=\sqrt{1.5^2 +(\sqrt{3}) ^2 }[/tex]

[tex]c=\sqrt{2.25+3 }[/tex]

[tex]c=\sqrt{5.25}[/tex]

[tex]c= 2.291288...[/tex]

Answer:

x = -8

Step-by-step explanation:

1. Divide both sides of the equation by -9 to get (x+6) = -2

2. Now that are left with x+6 you can subtract (inverse operation) the 6 from both sides of the equation to get x = -8

Hope this helps

Answer:

radius ≈ 10.77 cm

Step-by-step explanation:

The segment from the centre O to the chord is a perpendicular bisector.

Thus 2 right triangles are formed with legs 10 cm and 4 cm ( half of XY )

The radius r is the hypotenuse.

Using Pythagoras' identity, then

r² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )

r = [tex]\sqrt{116}[/tex] ≈ 10.77 cm ( to 2 dec. places )

Answer:

Step-by-step explanation:

perpendicular from center always bisects the chord of circle.

1/2 of chord=1/2×8=4 cm

[tex]r=\sqrt{4^2+10^2} =\sqrt{16+100} =\sqrt{116} \approx 10.77 ~cm[/tex]

Answer:900

Step-by-step explanation:

Answer:

960 cm.

Step-by-step explanation:

For the first day:

Subtract the primary level of water by the 20% of it. 20% of 1500 is:

[tex]0.2*1500=300[/tex] (Convert the percent to decimal)

Then subtract 1500 to 300. That would become 1200cm for the first day.

For the second day:

Subtract the level of water from the first day by 20% of it. 20% of 1200 is:

[tex]0.2*1200= 240[/tex]

Then subtract 1200 to 240. That would become 960 for the second day.

The level of the water after 2 days is 960 cm.

Answer:

For this case a polynomial is defined with the following expression:

[tex] p(x) =\sum_{i=1}^n a_i x^i[/tex]For all x on the domain considered and n is finite

And by definition the absolute value function is defined as:

[tex] |x|= x, x \geq 0[/tex]

[tex] |x| =-x , x<0[/tex]

If we use the function [tex] f(x) =|x|[/tex] we see that is impossible to obtain the general expression of a polynomial since we can't obtain the form |x| and since we don't satisfy the definition the answer would be:

An absolute value function CANNOT be considered as a polynomial function

Step-by-step explanation:

For this case a polynomial is defined with the following expression:

[tex] p(x) =\sum_{i=1}^n a_i x^i[/tex]For all x on the domain considered and n is finite

And by definition the absolute value function is defined as:

[tex] |x|= x, x \geq 0[/tex]

[tex] |x| =-x , x<0[/tex]

If we use the function [tex] f(x) =|x|[/tex] we see that is impossible to obtain the general expression of a polynomial since we can't obtain the form |x| and since we don't satisfy the definition the answer would be:

An absolute value function CANNOT be considered as a polynomial function

Answer:

B. y= -x^2+50x-300

Step-by-step explanation:

A. y^2=4x^2-100

B. y= -x^2+50x-300

C. x=-y^2-400

D. x^2=-6y^2+200

we are to find profits (y) when the company sells x items

Option A can be used to calculate the profit (y) squared

Option B can be used to calculate profits (y)

Option C can be used to calculate items sold(x)

Option D can be used to calculate items sold squared(x^2)

We are asked to find the weekly profit (y) function which eliminate options A, C and D leaving us with option B

Therefore, the weekly profits (y) function in thousands of dollars when the company sells x items is

B. y= -x^2+50x-300

Answer:

work is shown and pictured

C, infinitely many solutions.

B, one solution.

C, infinitely many solution.

A system of linear equations is a collection of one or more linear equations involving the same variables.

A system of linear equation has

According to the given questions

the given system of equations

(1). 2x+2y=3 and 4x+4y=6

if we see the graph of the above system of linear equations, the graphs are the" exact at same line".

Hence, they have infinitely many solution.

(2). 7x+5y=8 and 7x+7y =8

if we see the graph of the above system of linear equations, the graphs are intersecting at a single point.

Hence, there is only one solution.

(3). -2x+3y=7 and 2x-3y=-7

if we see the graph of the above system of linear equations, the graphs are exact at same line.

Hence, there is infinitely many solutions.

Learn more about the system of linear equations here:https://brainly.in/question/5130012

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Answer: a

Step-by-step explanation:

substitute the coordinate values for x and y

y<3x+3, (1,-5)

-5<3(1)+3

-5<3+3

-5<6

the coordinate (1,-5) works, so a is the answer

Answer:

6 weeks

Step-by-step explanation: set the equation to be 1458=2(3^t). Do the division property of equality by 2.

729=3^t

Divide 729 by 3 until you get a 1 as the answer.(Count the number of times that you did it, and that will be your answer)

Complete question:

[tex] F(x) = -6x^5 + 4x^3 [/tex]

Which characteristic is correct for the function

a) odd

b) neither even nor odd

c) both even and odd

d) even

Answer:

a) odd

Step-by-step explanation:

Given the equation:

[tex] F(x) = -6x^5 + 4x^3 [/tex]

To test for even or odd let's perform the following:

F

Replace "x" with "-x"

Thus,

[tex] F(x) = -6x^5 + 4x^3 [/tex]

[tex] = -6(-x)^5 + 4(-x)^3 [/tex]

[tex] = 6x^5 + -4x^3 [/tex]

Since [tex] -6x^5 + 4x^3 [/tex] ≠ [tex]-6(-x)^5 + 4(-x)^3[/tex] the equation is not even.

Also,  the signs changed, the equation is considered to be odd.

I.e f(x) = -f(x)

Correct answer is option (a) odd

Answer:

odd

explanation:

Answer:

your welcome and hope this helps

Answer:

the number is -6  (assuming "3 lots of" means 3 times)

Step-by-step explanation:

Let the number be x

1 less than a doubled number

2x-1

5 more than 3 lots of (times???) the number

3x+5

Solve for x

2x-1 = 3x + 5

-x = 5+1

x = -6

Answer:

1.33,3.667

Step-by-step explanation:

Use y=mx+b for second system

which is y=5/2x+7

Now use substitution,graph, or elimination method.

Answer:

Step-by-step explanation:

If EG is parallel to the side of the rectangle then lenght of EG is equal to width of rectangle.

If F and H are midpoints of sides of rectangle then FH is parallel to the side of rectangle {wich is perpendicular to the side parallel to EG}. That means the lenght of FH is equal to lenght of rectangle, and FH is perpendicular to EG.

Then FH is sum of hights of triangles EFG and EHG [tex](FH=H_{_{\Delta EFG}}+H_{_{\Delta EHG}})[/tex], and the area of EFGH is sum of areas of triangles EFG and EHG [tex](A_{kite}=P_{_{\Delta EFG}}+P_{_{\Delta EHG}})[/tex].

So the area of the rectangle:  [tex]\bold{A_{rectangle}=EG\cdot FH}[/tex]

The area of the kite:

                                  [tex]A_{kite}=P_{_{\Delta EFG}}+P_{_{\Delta EHG}}\\\\A_{kite}=\frac12 EG\cdot H_{_{\Delta EFG}}+\frac12 EG\cdot H_{_{\Delta EHG}}\\\\ A_{kite}=\frac12 EG\cdot (H_{_{\Delta EFG}}+H_{_{\Delta EHG}})\\\\A_{kite}=\frac12 EG\cdot FH\\\\A_{kite}=\frac12 A_{rectangle}[/tex]

No matter the height of the triangles, so no matter the location of the EG

Answer:

5 years

Step-by-step explanation:

Firstly, Let's use a function to find how much Jenny owes every year.

Using f(t)=3,000(1.18)^t

We can find the amount of money jenny owes every year.

Now let's try to find how many years it would take her to double her credit card debt.

If we change t=5, we can see that the function gives us an output of 6,863.27 which is double the amount of which she currently owes.

Answer:

B is a trinomial.

Step-by-step explanation: A trinomial is a math equation with 3 terms connected by plus or minus notations. In these 4 answer choices, choice B is the only one with 3 terms.

Answer

13x^3 i think its the right answer but am not sure :(

Step-by-step explanation:

The pythagorian theorem:

a²+b² = c²

now let a be the side of the red triangle and b the side of the orange one

so a² is the area of the red triangle and b² is the area of the orange one

Let c be the side of the blue rectangle

so c² is the area of it

then what we concluded is right

Answer:

A: The triangle in question is not a right triangle.

Step-by-step explanation:

If the triangle is a right triangle, then the Pythagorean theorem would hold

a^2 + b^2 = c^2

3^2 + 4^2 = 6^2

9+16 = 36

25 = 36

This is not true so this is not a right triangle

Answer:

A: The triangle in question is not a right triangle.

Step-by-step explanation:

We can use Pythagorean theorem to check.

a² + b² = c²

3² + 4² = 6²

9 + 16 = 36

25 = 36 (not true)

TV = VX.

3x-24 = 2x + 1

Add 24 to both sides:

3x = 2x + 25

Subtract 2x from both sides:

X = 24

VX = 2(25) + 1 = 50 + 1 = 51

The answer is 51

Answer:

51

Step-by-step explanation:

Since it is an isosceles triangle the two sides are equal  

3x - 24 = 2x + 1

x = 25

2(25) + 1 = 51

Answer:  f(x) is an odd function

Step-by-step explanation:  The major characteristic of odd functions is that one end of the graph goes down to negative infinity, the other end goes up to positive infinity.

Answer:

f(x) is an odd function.

Step-by-step explanation:

Round this however you need to.

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

Work Shown:

Check out the diagram below. We have the following points

Based on those points, we know that

Which allows us to find the distance from C to D. Focus solely on triangle EDC. Use the sine ratio to find x.

sin(angle) = opposite/hypotenuse

sin(angle EDC) = CE/CD

sin(56) = 7130/x

x*sin(56) = 7130

x = 7130/sin(56)

x = 8600.33397283284 approximately

Make sure your calculator is in degree mode.

Answer: 5.79

36

16 cost

Step-by-step explanation:

Answer:

The domain is all values but x=4 and x=2

Step-by-step explanation:

f(x) = (x+1) / ( x^2-6x+8)

Factor the function

f(x) = (x+1) / ( (x-4) ( x-2))

The domain of the function is all values of x except where the function does not exist

This is where the denominator goes to zero

(x-4) ( x-2) =0

Using the zero product property

x-4 =0   x-2 =0

x=4   x=2

The domain is all values but x=4 and x=2

Answer:

Hey there!

This, is the graph of your function:

Thus the domain, or all the possible x values would be all real numbers except 2 and 4, because the lines will only reach 2 and 4 when y is infinity.

Hope this helps :)

Answer:

$ 5.65

Step-by-step explanation:

let the cost of a pencil and a ruler be $p and $r respectively.

4p +r= 1 -----(1)

6p +3r= 2.10

divide by 3 throughout:

2p +r= 0.70 -----(2)

Q: 3p +13r= ?

(1) -(2):

(4p +r) -(2p +r)= 1 -0.70

4p +r -2p -r= 0.30 (expand)

2p= 0.30 (simplify)

p= 0.30 ÷2 (÷2 on both sides)

p= 0.15

subst. into (1):

4(0.15) +r= 1

r +0.60= 1

r= 1 -0.60

r= 0.40

cost of three pencils and thirteen rulers

= 3p + 13r

= 3(0.15) + 13(0.40)

= 0.45 + 5.20

= $5.65

Answer:

x=46 degrees

Step-by-step explanation:

first find the size of the other angles(let call z and y)

the sum of a straight angle is 180:

180=130+z

z=180-130=50

y=180-96=84

sum of angles of triangle =180

x+y+z=180

50+84+x=180

x=180-134=46 degrees

Answer:

46°

Step-by-step explanation:

Angle of a line = 180°

To find the other side of 130°

The other side = 180° - 130° = 50°

To find the other side of 96°

The other side = 180° - 96° = 84°

To find x°

Total angle of a triangle = 180°

180° = x° + 50° + 84°

x° = 180° - 134°

x° = 46°

Answer:

Trapezoid

Step-by-step explanation:

Got it right on quiz

The following that best classifies a quadrilateral with coordinates is :

A) Trapezoid

Thus, the correct answer is A.

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