2(2x - 5) = 3x + x - 2x What is the solution of the equation? X =​

Answer: f'(x)=6x

Step-by-step explanation:

f'(x)= lim (h->0) [f(x+h) - f(x)] /h

f'(x)= lim (h->0) [3(x+h)^2 + 1 - (3x^2 + 1)] /h

f'(x)= lim (h->0) [3(x^2+2hx+h^2) + 1 - 3x^2 - 1] /h

f'(x)= lim (h->0) [3x^2+6hx+3h^2 - 3x^2] /h

f'(x)= lim (h->0) [6hx+3h^2] /h

f'(x)= lim (h->0) [6x+3h]

f'(x)= [6x+3(0)]

f'(x)=6x

convert 81°into radian

81°=(81×pie/180)=9pie/20 pie=22/7

now,

radius=arc length/θ in radian

then 69/(9pie/20)

=48.79

Answer:

Answer is (-10,7) and inequality form: -10<c<7

Step-by-step explanation:

First factor the equation.

(c+7)(c-10)

Then find out which intervals make (c+7)(c-10)<0.

Answer:

2 Cups

Step-by-step explanation:

First of all you need to add all of the ingredients together, which would total 12 cups of smoothie. Also important to add is that 1 quart is 4 cups. Then you have 12/6 which equals 2!

The cups of smoothie in each glass is 2 cups.

In order to determine the number of cups of smoothie that would be put in each glass, it should be ensured that the measures of the ingredients are in the same unit.

The first step is to determine the total cups of smoothie that Craig makes.

In order to determine the total cups, quart has to be converted to cups

1 quart = 4 cups

Total number of cups = 5 + 4 + 3 = 12 cups

The next step is to determine the cups in each glass.

Cup of smoothie in each glass = total number of cups of smoothie / total number of large cups

12 / 6 =2 cups.

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Answer:

Solution: x = 9    Extraneous solution:  x = 1

Step-by-step explanation:

Given equation:

[tex]\sqrt{4x}=x-3[/tex]

Square both sides:

[tex]\implies \left(\sqrt{4x}\right)^2=\left(x-3\right)^2[/tex]

[tex]\implies 4x=x^2-6x+9[/tex]

Subtract 4x from both sides:

[tex]\implies 4x-4x=x^2-6x+9-4x[/tex]

[tex]\implies 0=x^2-10x+9[/tex]

[tex]\implies x^2-10x+9=0[/tex]

Split the term in x:

[tex]\implies x^2-x-9x+9=0[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies x(x-1)-9(x-1)=0[/tex]

Factor out the common term (x - 1):

[tex]\implies (x-9)(x-1)=0[/tex]

Apply the zero-product property:

[tex](x-9)=0 \implies x = 9[/tex]

[tex](x-1)=0 \implies x=1[/tex]

Substitute the found values of x into the original equation to verify the solutions:

[tex]\begin{aligned}x=9 \implies \sqrt{4 \cdot 9} & = 9-3\\\sqrt{36} & = 6\\6 & = 6\end{aligned}[/tex]

[tex]\begin{aligned}x=1 \implies \sqrt{4 \cdot 1} & = 1-3\\\sqrt{4} & = -2\\ 2 & = -2\end{aligned}[/tex]

Therefore, the only valid solution is x = 9:

Extraneous solution:  A solution from the process of solving the equation that is not a valid solution to the original equation.

The order from least to greatest of the numbers will be B. one eighth, 0.4, seventy five percent, seven fifths.

It should be noted that 7/5 = 1.4

It should be noted that 1/8 = 0.125

It should be noted that 75% = 0.75

Therefore, the ordering of the numbers from least to greatest will be one eighth, 0.4, seventy five percent, seven fifths.

In conclusion, the correct option is B.

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Answer:

b

Step-by-step explanation:

Answer:

we will need to to divide the given amounts of kilograms to the amount of batches of cookies made

461.01÷97

=4.75

(this is rounded off)

The square root of 58 is around 7.6

The entire number is, 7.61577310586...

To solve this problem we need to be aware of the concepts of angles in a circle. Also we need to know what is a major angle and what is a minor angle.

That major part of an angle is equal to (360-minor part of the angle).

We know the total angle in a circle is 360°.

Here, ∠SKL=120+2x; ∠JKS=28° and ∠JKL=x+148.

Sum of all the angles will give us 360°.

According to question,

  ∠SKL+∠JKS+∠JKL=360°

⇒(120+2x)°+28°+(x+148)°=360°

⇒3x+296°=360°

⇒3x=360°-296°

⇒x=[tex]\frac{64}{3}[/tex]

∴ x=21.3

Hence, the value of x is 21.3 in the given problem.

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The numerical expression that shows the amount of marbles that Alan has now is; 3(5 + 4)

We are told that he found 4 marbles to add to the 5 marbles in his collection.

Thus, after addition, total number of marbles is;

5 + 4 = 9 marbles

Now, we are told that he tripled this sum of marbles he had. Thus;

Tripling of marbles = 9 * 3

Thus, the numerical expression that shows the amount of marbles that Alan has now is;

3(5 + 4)

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Correct question is;

Alan found 4 marbles to add to the 5 marbles in his collection. Then, he went to the store and tripled the number of marbles he had.

Which numerical expression shows the amount of marbles Alan has now?

Answer: 2x - 8= 18

2x - 8=18

2x=26

x= 13

The coordinates of our position after moving up and down will be (0, -7)

We are given a coordinate plane and we are standing at the origin of the plane.

That is, our position is (0, 0).

Now, we move 2 units in the positive direction.

So, now our position will be:

(0, 2)

Then, we move downward a distance of 9 units.

So, our position will now become:

(0, 2 - 9)

(0, -7)

Therefore, the coordinates of our position after moving up and down will be (0, -7)

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Answer: 58 degrees

Step-by-step explanation:

a+b=90  ==> angles a and b are on a right angle which measures 90 degrees.

32+b=90

b=58 degrees

Answer:1.2x+5 2.2(x+5) 3.(x+5)^2

Step-by-step explanation:

By solving the linear equation it can be obtained that

The value of x is 2

What is a linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

The given linear equation is

0.3 = 0.5x - 0.7

0.5x = 0.3 + 0.7

0.5x = 1

x = [tex]\frac{1}{0.5}[/tex]

x = 2

The solution of this linear equation is x = 2

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Answer:

If you could take a picture of the rectangle I could help you answer that. I can't see the rectangle.

Answer:

-6

Step-by-step explanation:

1.2 = 12/10

so

12/10 x (-5) = -60/10 = -6

Answer:Look

Step-by-step explanation: Look and solve its not that hard

The total amount of money Sam deposited is $1,031.72.

Given that, Sam deposited 28 twenties, 18 tens, 32 fives, 20 ones, 18 quarters and checks for $22, $18.18 and $67.04.

We need to find out what was the amount Sam deposited.

Add the rate to the purchase price to determine the discount. Subtract the discount from the original price to arrive at the sale price.

The discounted price at which products or services are being sold is known as a sale price.

Now, total money = 28×20+18×10+32×5+20×1+18×0.25+22+18.18+67.04

=560+180+160+20+4.5+22+18.18+67.04

=1,031.72

Therefore, the total amount of money Sam deposited is $1,031.72.

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Building systems of equations, we have that:

a) The price of a cow is of 1200 coins, the price of a sheep is of 500 coins and the price of a pig is of 300 coins.

b) The system of equations is composed by the equations given below.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For item a, the variables are given as follows:

Considering that a sell is positive money and a buy negative, and the text, the equations are given as follows:

Using a calculator, the solutions are given as follows:

x = 1200, y = 500, z = 300.

Hence:

The price of a cow is of 1200 coins, the price of a sheep is of 500 coins and the price of a pig is of 300 coins.

For item b, all missing values are variables, given by:

x, y, z, t and w.

From the sum of the rows:

From the sum of the columns:

From the diagonals:

The system is composed by all these equations.

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Work Shown:

9+15 = 24 students total

9 have glasses, so 9/24 = 0.375 = 37.5% of the class wears glasses.

D = RT would be the fundamental equation to answer this, which is

Distance in D

Rate is R (speed)

It is now.

We can determine the individual distances for the two legs of the whole to determine the overall distance D.

Initial Leg:

R = 8

T = a

D = 8a

8(45 – b) + 7.5b =D

What is the formula for rate and distance?

Use the formula d = st to determine speed, distance, or time. Distance is equal to speed multiplied by time. Given two known numbers, the Speed Distance Time Calculator can solve for the unknown sdt value.

Units of seconds (s), minutes (min), hours (hr), or hours, minutes, and seconds can be used to input or solve for time (hh:mm:ss). Time format shortcuts are shown below.

Use the formula d = st, or distance equals speed times time, to find the distance.

Distance Equals speed x time

Since both reflect a certain amount of distance per unit of time, such as miles per hour or kilometers per hour, rate and speed are comparable. If speed s and rate r are equal, then r = s = d/t. The corresponding formula is d = rt, which denotes Rate times time are equivalent to distance.

Distance = Rate x Time

Use the speed formula, s = d/t, which states that speed is equal to distance divided by time, to solve for speed or rate.

speed equals distance/time.

Use the time formula, t = d/s, which states that time is equal to distance divided by speed, to solve for time.

Time = Speed/Distance

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Answer:

You have the right form (vertex form). All that you have left to do is learn what parts of the equation signify what.

Step-by-step explanation:

Explanation:

In a quadratic function of form y = a

(

x

−

p

)

2

+ q, the axis of symmetry is found at x = p. As a result, in y = -4

(

x

−

8

)

2

+ 3, the axis of symmetry is at x = 8, since the formula is x - p = x - (+8).

The vertex of a parabola is at (p, q). As for the axis of symmetry, the p value is 8, and in this function the q value is 3. So the vertex is at (8,3).

With this information, the x and y intercepts, and a few other points found by plugging in x values and solving for y, you will be able to graph this parabola. Your graph, if done properly, will look like the following:

graph{y = -4(x - 8)^2 + 3 [-20, 20, -10, 10]}

Answer:

2-18

2,5

7,18

Step-by-step explanation:

x=256

[tex] {256}^{256} = ( { {2}^{8} })^{256} = {2}^{8 \times 256} = {2}^{2048} [/tex]

Answer:

The answer to your problem is -1/3

Step-by-step explanation:

Let me know if you need the steps. Thanks

Answer:

She will need to buy 589 kilograms.

Step-by-step explanation:

They will weigh the same at twenty-five months.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

Let the number of months when they will weigh the same would be m

Given that Bill is losing two pounds per month and is currently 240 pounds.

So his model expression of weight would be: 240 - 2m

And Bill is losing four pounds per month and is currently 290 pounds.

So his model expression of weight would be: 290 - 4m

As per the condition, they will weigh the same

⇒ 240 - 2m = 290 - 4m

⇒ 4m - 2m = 290 - 240

⇒ 2m = 50

⇒ m = 25

Therefore, they will weigh the same at twenty-five months.

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