What is the solution to the following equation?
4(3x - 6) + 15 = 27
O2
03
04
05​

Answer:

You will know if an event is unlikely or unlikely to happen if the following events that happen follow behind it.

Step-by-step explanation:

Answer:

  n = -4/3  or   n = 3

Step-by-step explanation:

Multiply by 6 to eliminate fractions, then put into standard form.

  3n^2 -5n -12 = 0

  3n^2 -9n +4n -12 = 0 . . . . . separate -5n into two terms to facilitate factoring

  3n(n -3) +4(n -3) = 0 . . . . . factor pairs of terms

  (3n +4)(n -3) = 0 . . . . . . . . . factor out the common factor

  n = -4/3   or   3 . . . . . . . values that make the factors be zero

Answer:

y

=

4

(

x

+

11

)

2

−

484

Step-by-step explanation:

Hi there! hopefully this helps!

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Answer: 2c + 9 + 3m

Answer:

1. (x+9)(x-5)

2. (x+8)(x-4)

Step-by-step explanation:

use x-box method to simplify both problems

Final answer:

To factor the quadratic expressions, we look for pairs of numbers that multiply to give the constant term and add to give the coefficient of the middle term, resulting in the expressions (x - 9)(x - 5) for the first and (n + 8)(n - 4) for the second.

Explanation:

The question relates to factoring quadratic expressions, which is a fundamental skill in algebra. Specifically, we are looking to factor the expressions [tex]x^2[/tex] - 14x + 45 and [tex]n^2[/tex] + 4n - 32 completely. Factoring involves finding two binomial expressions that multiply together to give the original quadratic expression.

To factor [tex]x^2[/tex] - 14x + 45, consider two numbers that multiply to 45 and add to -14. These numbers are -9 and -5. Therefore, the factored form is (x - 9)(x - 5).

To factor [tex]n^2[/tex] + 4n - 32, we again look for two numbers that multiply to -32 and add to 4. These numbers are 8 and -4. Thus, the factored form is (n + 8)(n - 4).

Answer:

2/8 or 1/4

Step-by-step explanation:

2/8 or 1/4 because the spots on the spinner are blue out of 8 is 2/8 or 1/4

Answer:

2/6

Step-by-step explanation:

This should have been simple because you don't include the blue parts

Answer:

V=0.45

V=0.06

V=0.39

V=7.77

Answer:

hello i dont even know how to do this

Step-by-step explanation:

Answer:

Radius: 5.5

Diameter: 22

Step-by-step explanation:

The kids have to wait for 1 hour to get their bags.

Step-by-step explanation:

Given that,

A bus with kids and a truck with their bags started moving from the school to the camp at the same time.

To find the distance traveled by the bus :

⇒ Distance = Speed × Time

⇒ 60 × 3

⇒ 180 m

∴ The distance is 180 m.

To find the time taken by the truck to reach the camp :

Time taken = distance / speed.

⇒ 180 / 45

⇒ 4 hours.

∴ The time taken by the truck to reach the camp is 4 hours.

To find how long the kids have to wait for their bags :

The time taken by the truck to reach the camp - the time it took for the kids to arrive.

⇒ 4 hours - 3 hours

⇒ 1 hour.

∴ The kids have to wait for 1 hour to get their bags.

The bus traveled 180 miles to the camp in 3 hours at 60 mph, while the truck took 4 hours at 45 mph to cover the same distance. Hence, the kids had to wait 1 hour for their bags to arrive.

Travel Time and Waiting Time

To determine how long the kids had to wait for their bags, we need to calculate the time it took for the truck to reach the camp.

The bus travels at a speed of 60 mph and it took the kids 3 hours to reach the camp. The distance to the camp can be calculated using the formula:

Next, we calculate the time it took for the truck, traveling at 45 mph, to cover the same distance:

Therefore, the kids had to wait for 1 hour for their bags to arrive.

Answer: The answer is 904.32

Answer:

5

Step-by-step explanation:

The slope between (4,3) (3,-2) can be found using the following formula

m = (y2-y1)/(x2-x1)

   =(-2-3)/(3-4)

   = (-5)/(-1)

   =5

Answer:

y = x² + 2x + 1

Step-by-step explanation:

Same y value at x = -2 & x = 0

So line of symmetry is at:

x = (-2+0)/2

x = -1

Vertex: (-1,0)

y = a(x - -1)² + 0

y = a(x + 1)²

At x = 1, y = 4

4 = a(1 + 1)²

4 = 4a

a = 1

y = (x + 1)²

y = x² + 2x + 1

The general form of the equation of the quadratic function is x² + 2x + 1

The formula expressing the equation of the quadratic function will be expressed as:

y = a(x -h)² + k

From the table shown, we can see that the y-values are the same at where x = -2 and 0

Get the line of symmetry:

[tex]x =\frac{-2+0}{2}\\x=\frac{-2}{2} \\x=-1[/tex]

We can see that when x = -1, y = 0. Hence the vertex will be at (-1, 0)

h = -1

k = 0

Substitute into the formula y = a(x -h)² + k

y = a(x -(-1))² + 0

y = a(x+1)²

From the table at where x = 1, y = 4. On substituting to get "a" we have:

4 = a(1+1)²

4 = 4a

a = 1

Get the required quadratic function by substituting the parameters into the general formula as shown:

y = a(x -h)² + k

y = 1(x +1)² + 0

y = (x+1)²

y = (x+1) (x+1)

y = x² + x +x + 1

y = x² + 2x + 1

Hence the general form of the equation of the quadratic function is x² + 2x + 1

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Answer:

64 70% and 16 45%

Step-by-step explanation:

it's 4 70% and 1 45% to make 5 pints of 65% so 64 70% and 16 45%

Answer:

Step-by-step explana

a= 1

b= 1/16 or .0625

c= 1/256 or .00390625

Answer:

Option C

7

Step-by-step explanation:

The coordinate point of K is (-2,5) and H(-2,-2)

[tex]KH =\sqrt{ {(x2 - x1)}^{2}+{(y2 - y1)}^{2} } [/tex]

[tex] = \sqrt{ {( - 2 - 5)}^{2} + {( - 2 + 2)}^{2} } [/tex]

[tex] = \sqrt{ {( - 7)}^{2} + {(0)}^{2} } [/tex]

[tex] = \sqrt{49} = 7[/tex]

Answer:

18

Step-by-step explanation:

because there where two houses each invited 9 guests and 9 + 9 = 18

Answer:x=9

Step-by-step explanation:

Add the numbers and the x's

39x+369= 6 angles

Formula 6-2=4×180=720

39x+369=720

-369. -369

39x =351

Divide by 39

X=9

Answer:

C

Step-by-step explanation:

none of the others are graphically correct

Answer:

C, "Will's destination was 160 miles from where he started."

Step-by-step explanation:

The first and second choices are absurd. It doesn't give any reason or evidence that he stopped during that time. The time does not line up either. D, does not make sense because he only traveled 40 miles in 2 hours. But from hour 3 to 5 he traveled 120 miles.

Answer:

(x+2)(x+3)(x+4)

Step-by-step explanation:

Answer: 1/7

Do Keep Change Flip

Keep: 7

Change: ÷ into ×

Flip: 7/1 into 1/7

Your new problem: 7×1/7

Multiply

7/1×1/7=7/7

7/7=1

The fraction that will fit into the box to make the equation correct is:  [tex]\mathbf{\frac{1}{7}}[/tex]

Let the missing fraction that will fit in the box be represented as x.

Thus, let's find x in the equation, 7 × x = 1

Solve for the value of x to get the fraction that will fit in to make the equation correct.

[tex]7 \times x = 1[/tex]

[tex]\frac{7x}{7} = \frac{1}{7} \\\\[/tex] (division property of equality)

[tex]\mathbf{x = \frac{1}{7}}[/tex]

Therefore the fraction that will fit into the box to make the equation correct is:  [tex]\mathbf{\frac{1}{7}}[/tex]

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https://brainly.com/question/249518

Answer:

the first answer is correct

Step-by-step explanation:

Answer:

The correct function is

A. y = -0.5x+100

Answer:

f(16)=162

Step-by-step explanation:

-In a geometric sequence, the quotient between any tow consecutive numbers is called the common ratio,r:

[tex]r=\frac{a_n}{a_{n-1}}[/tex]

Given that f(3)=32 and f(9)=72, we can find the common ratio as below:

[tex]r=\frac{a_n}{a_{n-1}}\\\\\therefore \frac{f(9)}{f(3)}=r^6\\\\\frac{72}{32}=r^6\\\\r^6=2.25\\\\r=2.25^{1/6}[/tex]

#We substitute and use the same formula to find the nth term:

[tex]a_n=ar^{n-1}[/tex]

let f(3) be a(the first term):

[tex]a_n=ar^{n-1}\\\\a_{16}=32(2.25^{1/6})^{16-3-1}\\\\a_{16}=32(2.25^{1/6})^{12}\\\\\\=162[/tex]

Hence, f(16)=162

The length of arc QS in circle R is approximately 22.9 units. This is determined by using the formula for arc length in a circle, which is the radius times the angle (in radians). The angle was first converted from degrees to radians.

To find the length of arc QS in circle R, we need to use the formula for the arc length. The arc length of a circle is given by the formula Length = radius * angle (in radians). The angle is provided as 82 degrees, and the radius QR is given as 16 units.

First, we need to convert the angle from degrees to radians. We use the formula: radians = degrees * (π / 180). Hence, 82 degrees is approximately 1.43117 radians.

Now, let's substitute our values into the formula. Length = 16 units * 1.43117 radians.

Hence, the arc length of QS is approximately 22.9 units when rounded to the nearest hundredth.

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#SPJ12

Answer:

Step-by-step explanation:

volume of sphere = (4/3)πr³

Difference= [(4/3)*π*6³]-[(4/3)*π*3³]

[tex]=\pi*[(\frac{4}{3}*6*6*6) - (\frac{4}{3}*3*3*3)]\\\\=\pi*[(4*2*6*6)-(4*3*3)]\\\\=\pi *[288-36]\\\\=252\pi[/tex]

Answer:

B is the answer to this problem

Answer:

63

Step-by-step explanation:

Each side is bigger by a factor of 9, i.e. 10*9=90, etc.

so 7 * 9 = 63