What operation can we use to solve for x in the equation, 6x = 18? A. Multiply both sides of the equation by 6. B. Divide both sides of the equation by 6.

Answer:

[tex]f(10)= 236196[/tex]

Step-by-step explanation:

Given

[tex](x,y) = (0,4)[/tex] --- y intercept

[tex]b = 3[/tex] --- growth factor

Required

[tex]f(10)[/tex]

An exponential function is represented as:

[tex]y = ab^x[/tex]

[tex](x,y) = (0,4)[/tex] means

[tex]4=a * b^0[/tex]

[tex]4=a *1[/tex]

[tex]a= 4[/tex]

So, we have:

[tex]y = ab^x[/tex]

[tex]y = 4(3)^x[/tex]

or

[tex]f(x)= 4(3)^x[/tex]

When x is 10, the value of the function is:

[tex]f(x)= 4(3)^x[/tex]

[tex]f(10)= 4(3)^{10[/tex]

[tex]f(10)= 236196[/tex]

Answer:

x² - 2x - 2

By Completing the Square....

x² - 2x + 1² - 2 - 1²

(x - 1)² - 3 .....

Hope it helps.

Answer:

The relationship is that if you divide say, 88÷4=22 the relationship is that all of them divided would equal 22.

Hope this helped.

Answer:

3x + 2y = 29

5x + 2y = 35

Step-by-step explanation:

Let

x = cost of one-inch binders

y = cost of two-inch binders

Rasheed:

3x + 2y = 29 (1)

Matar:

5x + 2y = 35 (2)

3x + 2y = 29 (1)

5x + 2y = 35 (2)

Using elimination method, subtract (1) from (2)

5x - 3x = 35 - 29

2x = 6

x = 6/2

x = 3

Substitute x = 3 into (1)

3x + 2y = 29 (1)

3(3) + 2y = 29

9 + 2y = 29

2y = 29 - 9

2y = 20

y = 20/2

y = 10

Answer:

(3–7x²)(x–3)

Step-by-step explanation:

If you apply the distributive property in (3–7x²)(x–3), you obtain:  

3x-9-7x²(x)+21x²

3x-9-7x³+21x²

When you order the expression, you have:  

-7x³+21x²+3x-9

Then, the answer is (3–7x²)(x–3)

The resulting expression from the given algebra after grouping is; C: (3 – 7x²)(x – 3)

We want to simplify the algebraic expression; -7x³ + 21x² + 3x - 9

Applying distributive property of algebra, we have;

-7x²(x - 3) + 3(x - 3)

By factorization, we have;

(3 – 7x²)(x – 3)

Looking at the options, only option C is correct

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The radius of the given circle is 13 unit.

The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle.

A radius is a measure of distance from the center of any circular object to its outermost edge or boundary.

Pythagoras theorem states that "the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides".

According to the given question

We have a circle with center Q and two chords AD and BC.

And, AD = 4x + 4 and BC = 6x -6

Since, both the chords are at the same distance from the center of the circle, so their lengths will same.

⇒ AD = BC

⇒ 4x + 4 = 6x -6

⇒ 4 + 6 = 6x -4x

⇒ 10 = 2x

⇒ x = 5

Therefore,

AD = 4x + 4 = 4(5) + 4 = 20 +4 =24

and, BC = 6x - 6 = 6(5) - 6 = 30 -6 = 24

Also, AP = AD/2 = 24/2 = 12

Now, in right angle triangle QPA we have

[tex]AQ^{2} =QP^{2} +AP^{2}[/tex]     ( By Pythagoras theorem)

⇒ [tex]AQ^{2} = 5^{2} +12^{2}[/tex]

⇒[tex]AQ^{2} = 25 + 144[/tex]

⇒[tex]AQ^{2} = 169[/tex]

⇒[tex]AQ =\sqrt{169}[/tex]

⇒ AQ = 13

Hence, the radius of the given circle is 13 unit.

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Answer:

1/4, 0.25

Step-by-step explanation:

Answer:

3/11

Step-by-step explanation:

Let Roberto's cards be x.

Let David's cards be y

x = (3/4) y

Roberto gives half his cards away which is 1/2*(3/4) = 3/8

David's new amount after the gift = 1/2(3/4)y + y = 3/8y+y=3y/8+8y/8 = 11y/8

So the ratio is Roberto / David = (3/8) // (11/8)

Roberto to David = 3/8 // 11.8 which you now invert and multiply the denominator

Roberto to David = 3/8 * 8/11 = 3/11

Done on my cell.

Answer:

Step-by-step explanation:

I'm assuming that you need to pick the correct solution set using the given inequality. Let's solve this much like we would an equation, ubt taking into account that the sign shown is a less than sign. This implies that the dot over whatever x is less than is not filled in. So forget a and c since those dots are filled in. Let's see which one, b or d, is the answer we need.

5x + 28 < 13 and

5x < 13 - 28 and

5x < -15 so

x < -3. The choice you're looking for is d. Each line on that graph represents 3 units.

Answer:

-5

Step-by-step explanation:

Our first step is to distribute/expand in the brackets so we are able to isolate x-term.

[tex] \large{4 - 2x - 14 = 3x + 15}[/tex]

I hope you still remember that when multiplying positive with negative, it becomes negative. Then we combine like terms - we isolate the 2x by adding 2x both sides and subtract both sides by 15.

[tex] \large{4 - 2x - 14 + 2x - 15 = 3x + 15 + 2x - 15} \\ \large{ - 25 = 5x}[/tex]

Then to divide both sides by 5 so we can finally get the x-term isolated.

[tex] \large{ \frac{ - 25}{5} = \frac{5x}{5} \longrightarrow - 5 = x}[/tex]

Dividing the negative by positive results in negative as well! Next step is optional, which is about checking the answer. To check the answer if it's right or not, we can do by substituting x = -5 in the equation and solve until these two outcomes may occur:

[tex] \large{4 - 2(x + 7) = 3(x + 5)}[/tex]

From the given equation above, substitute the value of x which is -5 in the equation.

[tex] \large{4 - 2( - 5 + 7) = 3( - 5 + 5)}[/tex]

Evalute/Simplify:

[tex] \large{4 - 2(2) = 3(0) \longrightarrow 4 - 4 = 0} \\ \large \boxed{0 = 0}[/tex]

Since both sides are equal or same. Thus the solution to this equation is x = -5.

Answer

I hope this helps! If you have any doubts or questions, don't hestitate to ask in the comment! Good luck on your assignment and have a great day! :)

Answer:

the first one is 1.667

Step-by-step explanation:

5/3=1.667

10/6=1.667

and so on

Sorry i dont know the second one

Answer: It's more likely it's a Tuesday

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

Explanation:

The odds of it being a Tuesday is 1/7 since there's 1 day of the week that's Tuesday out of 7 total.

The odds of it being January is 1/12 because we have 1 month we want out of 12 total.

Now the question is: which fraction is larger?

For now, assume they are equal. We'll cross multiply like so

1/7 = 1/12

1*12 = 7*1

12 = 7

We get a false statement at the end, but we can fix things by replacing the equal sign with a greater than sign to get this new set of steps

1/7 > 1/12

1*12 > 7*1

12 > 7

which leads us to a true statement. Therefore, 1/7 is the larger fraction and the more likely event.

-----------------

Alternatively, you can use your calculator to find that:

Then for each decimal, move the decimal point 3 spots to the right. The values 0.143 and 0.083 become 143 and 83 respectively. We can see that 143 is larger, which means 0.143 is larger, and lastly 1/7 is larger. Think of it like a chain.

Answer:

26

Step-by-step explanation:

5x+6y

substitute x=16 and y=-9:

5*16+6*(-9)

=80-54

=26

Answer:

4x -51

Step-by-step explanation:

m(x) = 4x - 11

n(x) = x - 10

m[n(x)] =  Replace n(x) for x in the function m(x)

             = 4 (x-10) - 11

              = 4x - 40 -11

              = 4x -51

Answer:

C.

Step-by-step explanation:

I can explain in comments if needed, but c is the correct answer :)

Answer:

Making r the subject

r=243/3 = 81.

3r = 243

r = 243/3

r= 81

hope it helps you ♡♡

Answer:

c. base area + lateral area

this is the best describe the surface area of a solid figure.

Answer:

30 cubic feet

Step-by-step explanation:

volume of a pyramid is (l*w*h)=3

assuming it is a pyrmaid where l=w=h, volume = x^3/3 = 10

x^3=30

x=30^(1/3)

volume of a cube is l*w*h, with our assumption, that translates to x*x*x

Volume = 30^(1/3)*3 = 30 cubic feet

The volume of the cube, in relation to the given pyramid is: 30 cubic feet.

Relating both volumes, we would have:

Volume of cube = 3(volume of pyramid)

Volume of pyramid is given as 10 cubic feet, therefore:

Volume of the cube = 3(10)

Volume of the cube = 30 cubic feet.

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Answer:

D. 105

Step-by-step explanation:

300 x .05=15

15x7=105

Answer:

84 degrees

Step-by-step explanation:

The two angles are supplementary (their sum is 180 degrees)

96 + b = 180

b = 180 - 96

b = 84

Answer:

8$

Step-by-step explanation:

since it was 26$ worth of snacks, first subtract 74 from 26

74-26= 48$ left

from this 48$, they bought tickets, therefore price for one ticket= 48/6=8$

therefore each ticket cost 8$

Answer:

hope this helps!

Step-by-step explanation:

subtract/divide/a variable

credit: edgarandres9741

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Answer:

its 2 and 4

Step-by-step explanation:

A trapezoid is a quadrilateral with at least one pair of parallel sides (called bases), while a rhombus must have two pairs of parallel sides (it is a special case of a parallelogram). The second difference is that the sides of a rhombus are all equal, while a trapezoid may have all 4 sides of a different length.

A trapezoid is a parallelogram. A rhombus is a square. The diagonals of a quadrilateral are perpendicular and the quadrilateral is not a rhombus.

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Answer:

4 11/12

Step-by-step explanation:

9514 1404 393

Answer:

  see below (2nd graph)

Step-by-step explanation:

It can be useful to consider the value of f(4).

  f(4) = 1/2√4 -1 = 1/2(2) -1 = 1 -1 = 0

This matches the 2nd graph best.

Answer: c. biofuel

Step-by-step explanation: just took test

The best alternative energy technologies is most likely to be used to power a car is bio-fuel

Bio-fuel is a type of fuel that is created quickly from biomass, as opposed to the lengthy natural processes that result in the development of fossil fuels like oil. Plants may be used to make biofuel, as well as home, commercial, and agricultural biowaste.

Given data ,

Any fuel that is made from biomass, or plant, algae, or animal waste, is referred to as a biofuel. Unlike to fossil fuels like petroleum, coal, and natural gas, biofuel is seen as a source of renewable energy due to the ease with which such feedstock material may be supplied.

In light of rising petroleum prices and growing concern about the role fossil fuels play in global warming, biofuel is frequently promoted as a convenient and ecologically friendly substitute for petroleum and other fossil fuels.

Hence , the alternative to power a car is bio-fuel

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Answer:

36cm

Step-by-step explanation:

7cm+11cm = 17cm

8cm +11cm=18cm

18cm+17cm=36cm

Answer:

14.87 units

Step-by-step explanation:

Pythagorean Theorem states that the sum of the square of the legs equals the square of the hypotenuse.

5² + 14² = y²

25 + 196 = y²

y² = 221

y = [tex]\sqrt{221}[/tex] which is equal to 14.87

Answer:look it up on quizlet its easier

Step-by-step explanation:

Answer:

9,

Step-by-step explanation:

if you look at the pattern its just adding up all the numbers above so its nine