9x square divided by 3x​

Step-by-step explanation:

Let's say we have (m*x+d)², with m and d representing constant values (a number). If we expand, we can see that

(m*x+d)² = (m*x+d) * (m*x+d) = m²*x²+2*m*x*d + d². Matching that up with

ax²+bx+c, the value multiplied by x² in our factored perfect square is m² (so m²=a), the value multiplied by x is 2md ( so 2md = b), and the constant is d².

Going back to the problem, we want to see how the values of a and c correspond with a perfect square trinomial. In our perfect square of (m*x+d)², our resulting trinomial has m² = a and d² = c. This points to the fact that a must be a square of something (for example, if a = 1, √1=1, so this works) as well as c if they are part of a perfect square trinomial. If a and c are both squares of other numbers, then it is possible that ax²+bx+c is a perfect square trinomial. If they are not, then it is not possible

Answer:

D: {-6, 6}

Step-by-step explanation:

The domain are all the possible values for x. For this graph in the x-position, it starts from -6 to +6. Therefore, the domain will be {-6,6}.

Answer:

[tex]-6\leq x\leq 6[/tex]

[tex]x[/tex] ∈ [tex][-6, 6][/tex]

Step-by-step explanation:

The domain is the set of all numbers for which a function is defined. As one can see on the given graph, the function spans between the numbers (-6) and (6). Therefore, the function is defined between the numbers (-6) and (6). The closed dots on either end of the function signify that the function includes these values. Thus, the domain of the function is as follows:

([tex]-6\leq x\leq 6[/tex])

In set notation,

([tex]x[/tex] ∈ [tex][-6, 6][/tex])

Answer:

y = 1.5

Step-by-step explanation:

Given x is inversely proportional to [tex]\sqrt{1+x}[/tex] , then the equation relating them is

y = [tex]\frac{k}{\sqrt{1+x} }[/tex] ← k is the constant of proportion

To find k use the condition when x = 8, y = 2

2 = [tex]\frac{k}{\sqrt{1+8} }[/tex] = [tex]\frac{k}{\sqrt{9} }[/tex] = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )

6 = k

y = [tex]\frac{6}{\sqrt{1+x} }[/tex] ← equation of proportion

When x = 15 , then

y = [tex]\frac{6}{\sqrt{1+15} }[/tex] = [tex]\frac{6}{\sqrt{16} }[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex] = 1.5

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Step-by-step explanation:

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Answer:

A

Step-by-step explanation:

A logarithmic function, log(x) has a domain x>0. For this logarithmic equation x+2>0, x>-2.

Answer: x = -10

Step-by-step explanation:

Given

3x / 5 = -6

Multiply 5 on both sides

3x / 5 × 5 = (-6) × 5

3x = -30

Divide 3 on both sides

3x / 3 = (-30) / 3

x = -10

Hope this helps!! :)

Please let me know if you have any questions

Step-by-step explanation:

3x/5 = - 6

first take 5 to the right: 3x = - 6×5

3x = -30

then divide 3 on both sides

3x/3 = -30/3

x = - 10

I hope this answers your questions.

Answer:

w = 23

l = 28

Step-by-step explanation:

w = width

l = w+5

P = 2 (l+w)

102 = 2( w+5+w)

102 = 2(2w+5)

Divide each side by 2

51 = 2w+5

Subtract 5

46 = 2w

Divide by 2

23 = w

The width is 23 and the length is 23+5 = 28

Answer:

Length=28

Width=23

Step-by-step explanation:

All I did was basically trial and error, to be honest.

Let the no be x

ATQ

[tex]\\ \sf\longmapsto 6x+11=17[/tex]

[tex]\\ \sf\longmapsto 6x=17-11[/tex]

[tex]\\ \sf\longmapsto 6x=6[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{6}{6}[/tex]

[tex]\\ \sf\longmapsto x=1[/tex]

Answer:

1

Step-by-step explanation:

let the number be x

and solve it

Answer:

ur answer is 199 thank me later

Answer:

194 ft²

Step-by-step explanation:

Area of rectangle R1 = length * width

                                  = 8 * 5

                                  = 40  square feet

Area of rectangle R2 = 14 * 11

                                    = 154 square feet

Area of the figure = 40 + 154 = 194 ft²

Answer: will be D

Step-by-step explanation:

Answer:

V=w*h*l

Step-by-step explanation:

w=width

h=height

l=length

volume = w*h*l

volume = w*h*l

volume = w*h*l

Answer:

JKM is acute and MKL is obtuse

Step-by-step explanation:

because an acute triangle's interior angles are always 180° and an obtuse triangle's sum is greater than 90°

Answer:

Step-by-step explanation:

The basic 30-60-90 triangle ratio is:

Side opposite to 30° angle is : x

Side opposite to 60° angle is : x √3

Side opposite to 90° angle is : 2x

From the diagram we learn that

x√3 = 10

[tex]x = \frac{10}{\sqrt{3}}=\frac{10*\sqrt{3} }{\sqrt{3}*\sqrt{3}}\\\\x=\frac{10\sqrt{3}}{3}= 5.77\\[/tex]

∠T = 30°, Side opposite to ∠T is AC = 5.77

∠A = 90°, side opposite to ∠A is TC = 2x = 2*5.77 = 11.54

Answer:

Step-by-step explanation:

Here, MN= NP

→ [tex]128=2x+70[/tex]

→ [tex]2x=128-70[/tex]

Subtract :-

→ [tex]2x=58[/tex]

Divide both sides by 2:-

→ [tex]\frac{2x}{2}=\frac{58}{2}[/tex]

→ [tex]x=29[/tex]

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Answer:

Population

Step-by-step explanation:

A.

A population is the entire group that is being studied while a sample is a subset of the population that is being studied.

Answer:

Let's first find the slope.

-13 - (-8) /  2-1

-5/1

-5

The slope is -5.

The y intercept, or where the line crosses the y=axis, is equal to -3.

So, the equation is y=-5x-3

Let me know if this helps!

Answer:

(7×x)+14

Step-by-step explanation: Because we have 14 added to something, we will need a + to whatever we are adding to. The product of 7 and a number is 7×x because product is the number you get after multiplication. So we get 7×x+14. You dont need parenthesis

Hope this helps!

Answer:

a7 = 55 + (7-1) 10

Step-by-step explanation:

See,

It's given that it will take 7 hours for Jiya to move.

$55 are charged for 1 (first) hour. Now, 6 hours are left (unpaid). $10 per every hour after that.

Among the total 7 hours, the payment for first hour is done ($55) so we are left with the other 6 hours multiplied by 10.

Therefore, the correct option is:

a7 = 55 + (7-1) 10

Answer:

B  -150.

Step-by-step explanation:

The minimum value of a sine is -1

So the answer is 15 * - 1 = -150.

Answer:

-150

Step-by-step explanation:

F(x)=150•sin(3•x)

The minimum that sin takes is negative 1

so 150(-1) = -150

The minimum of f(x)  is -150

Answer:

Equation of the line is y = 4x + 19

Step-by-step explanation:

slope, m = 4

[tex]y = mx + c[/tex]

consider (-3, 7):

[tex]7 = (4 \times - 3) + c \\ 7 = - 12 + c \\ c = 19[/tex]

equation:

[tex]y = 4x + 19[/tex]

Answer:

y = 4x + 19

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x - 1 ← is in slope- intercept form

with slope m = 4

Parallel lines have equal slopes, then

y = 4x + c ← is the partial equation

To find c substitute (- 3, 7) into the partial equation

7 = - 12 + c ⇒ c = 7 + 12 = 19

y = 4x + 19 ← equation of parallel line

Answer:

(x+4)(x+12)

Step-by-step explanation:

Answer:

(x +4) (x+12)

Step-by-step explanation:

product 48

Sum 16 ( 12 and 4)

(x2 +12x) +(4x +48)

=(x+4) (x+12)

The volume of the frustum that is shown in the diagram is: C. 256 m³.

The volume of frustum = Volume of the bigger rectangular pyramid - Volume of smaller rectangular pyramid.

Find the volume of the original (bigger) rectangular pyramid:

Volume of rectangular pyramid = 1/3(lwh) = 1/3(12 × 6 × 14)

Volume of rectangular pyramid = 336 m³

Find the volume of the smaller (the top that was removed) rectangular pyramid:

Volume of rectangular pyramid = 1/3(lwh) = 1/3(10 × 4 × 6)

Volume of rectangular pyramid = 80 m³

The volume of frustum = Volume of the bigger rectangular pyramid - Volume of smaller rectangular pyramid = 336 - 80 = 256 m³.

Thus, the volume of the frustum that is shown in the diagram is: C. 256 m³.

Learn more about volume of frustum on:

https://brainly.com/question/1641223

Answer:

D. Both ends go down.

Step-by-step explanation:

f(x) = -2(x-17)^4

As x goes to -∞

f(-∞) = -2(-∞)^4 = -2 (∞) = -∞

As x goes to ∞

f(∞) = -2(∞)^4 = -2 (∞) = -∞

Both ends go to  -∞, or go down

Answer:

300 raisins

Step-by-step explanation:

sum the parts of the ratio, 3 + 27 = 30 parts

Divide the total by 30 for the value of one part of the ratio.

3000 ÷ 30 = 100 ← value of 1 part of the ratio , then

3 parts = 3 × 100 = 300 ← number of raisins in a box

Answer:

Step-by-step explanation:

[tex]\displaystyle \Large \boldsymbol{} x^2+10x+9=0 \\\\ x^2+\underbrace{x+9x}_{10x}+9=0 \\\\x^2+x+\underline9x+\underline9=0 \\\\x(x+1)+9(x+1)=(x+9)(x+1)[/tex]

Answer:

B = 135

Step-by-step explanation:

An octagon has 8 equal sides, and in total is 1080 degrees. Each angle is 135 degrees which adds up to 1080. Or:

135 × 8 = 1080.

Hope this helped.

Answer:

C. -2(-2)

Step-by-step explanation:

A. -2(-1/5) = 1

B. -2(1/2)=1

C. -2(-2)=4

D. -2(2)=-4

Answer:

y = 5x

In the coordinate (3, 3), the first number is the x value and the second number is the y value.

So, does 3 = 5(3).

The answer is no, so this coordinate does not make the equation true.

Let me know if this helps!

Answer: No, the given point does not make the equation true.

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Explanation:

There are three different ways to approach this.

One way is to plug x = 3 into the equation to find that

y = 5x

y = 5*3

y = 15

But that doesn't match up with y = 3 from the point (3,3). So we see that (3,3) is not a solution to y = 5x.

------

Or another method we could do is plug x = 3 and y = 3 to find a contradiction

y = 5x

3 = 5*3

3 = 15

The contradiction being that 3 on the left side doesn't match with 15 on the right side. The false equation at the end means y = 5x is false for (x,y) = (3,3), and therefore this point is not a solution to y = 5x.

------

The third method involves graphing the line y = 5x. You can see that (3,3) is not on the line, which visually confirms the results of the previous two sections. So for a point to be a solution, it must be on the line.

Answer:

baba booey

Step-by-step explanation:

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