Which of the following values of x solves 6^2x-1=36^-x41/3-41/4

The coordinates of the point of intersection of y=3x−3 and y=7−2x is (2, 3)

From the question, we are to graph the given equations.

The graph of the equations is attached below.

In the graph, we can observe that the coordinates of the point of intersection of the is (2, 3)

Hence, the coordinates of the point of intersection of y=3x−3 and y=7−2x is (2, 3)

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Answer: The image of (8, 7) after a reflection over the line y = -x is (-7, -8).

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The greatest common factor of 12 and 24 is 12. The only option which accounts for this is D.

Answer: a

no solution

Step-by-step explanation:

Solve by substitution:

1) Solve \(x=2y+4\) for x:

\(x=2y+4\)

2) Substitute \(2y+4\) for \(x\) in \(2y=x-6\):

\(2y=x-6\)

\(2y=2y+4-6\)

3) Simplify both sides of the equation:

\(2y=2y-2\)

4) Add \(-2y\) to both sides of the equation:

\(2y+-2y=2y-2+-2y\)

5) Simplify both sides of the equation:

\(0=-2\)

Therefore, there are no solutions to the system of equations.

Solve by elimination:

You can't solve this system of equations by elimination

Solve by graphing:

The equations are parallel to each other, therefore they never cross, so, there are no solutions.

As per the given variables, Victor jumped a total of 4 yards.

Total yards jumped = 6 feet high

Additional yards = 2

A yard is one linear yard. "Yd" is the yard symbol. The standard of measurement has always been derived from either a natural item or a portion of the human body, such as a foot, an arm's length, or the width of a hand.

Converting the initial jump of 6 feet to yards, as the additional distance given is also in yards.

There are 3 feet in a yard, therefore -

6 feet = 6/3  

= 2

Thus, Victor jumped 2 yards initially, and then 2 more yards as given in the problem.

Calculating, the total distance Victor jumped in yards -

= 2 + 2

= 4

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Answer:

D

Step-by-step explanation:

Sample space = {H1,H2, H3, H4, H5, H6 , T1, T2, T3, T4, T5, T6}

So, (H, 6) is an element in the sample space

Answer:

g(x)=3x^2

Step-by-step explanation:

4 x 23 = 92

four shoes cost $92 at Wallmart, but its the same at kohl's

wallmart price = kohl's price

                $92 = $92

they are equal

Answer:

$16.80

Step-by-step explanation:

Given the following question:

40% of 28

To find the new price of the item we use the formula to calculate percentages then we take that answer and subtract it from the original price.

\(\frac{p\times n}{100}\)
\(\frac{40\times28}{100}\)
\(40\times28=1120\)
\(1120\div100=11.2\)
\(=11.20\)

Subtract from original cost:

\(28\)
\(28-11.20=16.8\)
\(=16.80\)

New price of the item is "$16.80."

Hope this helps.

Conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.

       To graph the function g( x) = - f( x 4), we need to start with the graph of the function f( x) = | x| and  also apply the given  metamorphoses.  The function f( x) = | x| represents the absolute value function, which is a V- shaped graph symmetric with respect to the y- axis.  

First, we shift the graph of f( x) = | x| horizontally by 4 units to the left by replacing x with( x 4). This results in f( x 4).  Next, we multiply the entire function by-1, which reflects the graph vertically. This gives us- f( x 4).  Combining these  metamorphoses, we've the function g( x) = - f( x 4). To graph g( x), we can  compass a many points and  also draw the graph by connecting them.

Let's start with the original graph of f( x) = | x| and apply the  metamorphoses

For f( x)  x = -3,-2,-1, 0, 1, 2, 3  

f( x) =  3, 2, 1, 0, 1, 2, 3  For

g( x) = - f( x 4)  x = -7,-6,-5,-4,-3,-2,-1  

g( x) = -3,-2,-1, 0,-1,-2,-3

conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.

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Answer:

The greatest common factor of 24, 36, and 50 is 2.

Step-by-step explanation:

Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 50 are 1, 2, 5, 10, 25, 50

Therefore the GCF is 2.

We can see that 2 is the only common factor, hence the greatest common factor of 24, 36, and 50 is 2

For us to get the greatest common factor of 24, 36, and 50, we need to get their individual factor first as shown:

24 = 2 * 12

36 = 2 * 18

50 = 2 * 25

From all the factors, we can see that 2 is the only common factor, hence the greatest common factor of 24, 36, and 50 is 2

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Answer:

22.5°

Step-by-step explanation:

We know that the measure of straight line is 180° . Therefore the sum of all angles will be 180° .

⇒ 90° + x + 3x = 180°

⇒ 90° + 4x = 180°

⇒ 4x = 90°

⇒ x = 90°/4

⇒ x = 22.5°

Answer:

60 degrees

Step-by-step explanation:

cos(x)=1/2

cos(x)=0.5

(x)=\(cos^-1\) (0.5)

(x)=60

Step-by-step explanation:

To find out how many more people visited Canada than Mexico, we need to subtract the number of visitors to Mexico from the number of visitors to Canada:

12,968,000 - 9,807,000 = 3,161,000

Therefore, 3,161,000 more people visited Canada than Mexico in 2002.

Answer:

4

Step-by-step explanation:

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

Answer:

\(3(3 - 4x + 2y)\)

Step-by-step explanation:

Find the Greatest Common Factor (GCF).

\(gcf = 3\)

Factor out the GCF.

\(3( \frac{9}{3} + \frac{ - 12x}{3} + \frac{6y}{3} )\)

Simplify each term in parentheses.

\(3(3 - 4x + 2y)\)

The simplified form of 13¹/3 + 2¹/3 - 10/2 is a fraction 64/6 that can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 the final answer is 32/3.

Given

13¹/3+2¹/3-10/2​

Required simplified it =?

First, we have simplified both constants separately

13¹/3 = (3 * 13 + 1) / 3 = 40/3

2¹/3 = (3 * 2 + 1) / 3 = 7/3

now the expression become = 40/3 + 7/3 - 10/2

now taking LCM of 3 and 2 which is 6.

                                                = 80/6 + 14/6 - 30/6

 now we have to simplify this fraction by dividing by 2 = 64/6

Therefore, the simplified form of 13¹/3 + 2¹/3 - 10/2 is 32/3.

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Answer:

I is t w

2 13.2

4 15.2

6 17.2

8 19.2

Step-by-step explanation:

why because I already did the test

Answer:

Step-by-step explanation:

Answer:

The Vertex Form of a Parabola is:

g(x) = a(x - h)2 + k

vertex = (h, k)

rate = a (positive is up; negative is down)

a = -1/4   (downward parabola)

vertex = (17, 61)

There is no domain restriction.

Since the parabola is upside down (downward-facing), it reaches it's maximum at its vertex. In other words, is not possible for g(x) to be greater than 61.

Step-by-step explanation: hope this helped:/

Answer: The given number is 243.275 and we have to write in expanded form.

Therefore this is the expanded form of the given number!

Answer:

the value of x that makes the equation true is x = 3.5.

Step-by-step explanation:

To find the value of x that makes the equation 18x + 5 - 3 = 65 true, we need to simplify the equation and solve for x.

Starting with the equation:

18x + 5 - 3 = 65

First, combine like terms:

18x + 2 = 65

Next, isolate the term with x by subtracting 2 from both sides:

18x = 65 - 2

18x = 63

Finally, divide both sides of the equation by 18 to solve for x:

x = 63 / 18

x = 3.5

Therefore, the value of x that makes the equation true is x = 3.5.

The answer is:

Steps & work :

First, I focus only on the left side.

Combine like terms:

\(\sf{18x+5-3=65}\)

\(\sf{18x+2=65}\)

Subtract 2 from each side:

\(\sf{18x=63}\)

Now, divide each side by 18:

\(\sf{x=\dfrac{63}{18}\)

Clearly, this fraction is not in its simplest terms, and we can divide the top and bottom by 9:

\(\sf{x=\dfrac{7}{2}}\)

\(\therefore\:\:\:\:\:\:\stackrel{\bf{answer}}{\boxed{\boxed{\tt{x=\frac{7}{2}}}}}}\)

\(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

The given fraction is \(1\frac{3}{4}\).

\(1\frac{3}{4}\) feet can be written as a multiplication expression as follows: 1 foot × 1 3/4. This is because \(1\frac{3}{4}\) is the same as 1 + 3/4.

Furthermore, 3/4 can be written as 0.75, which is the same as 0.75 × 1 foot.

Therefore, the multiplication expression is 1 foot × \(1\frac{3}{4}\) = 1 foot × (1 + 0.75) = 1 foot × 1 + 1 foot × 0.75 = 1 foot + 1.75 feet.

Therefore, \(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

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Step-by-step explanation:

1ft=12in

1¾ft=x

x=12×7/4=21in

1¾ft=1¾×1 ft

ANSWER

60 possible outcomes

EXPLANATION

If he spins the 3-section spinner, there are 3 possible outcomes: Walk, Run, Stop.

If he spins the 4-section spinner, there are 4 possible outcomes: red, green, blue, orange.

If he spins the 5-section spinner, there are 5 possible outcomes: Monday, Tuesday, Wednesday, Thursday, Friday.

If he has to spin the three spinners, the total possible outcomes is the product of the possible outcomes of each spinner: 3x4x5 = 60.

Answer:

2,5,6

Step-by-step explanation:

2 * 5 * 6 = 60

Kim rolls three 6 sided dice.  The product of her numbers is 60. So, the numbers are 2, 5, and 6 and this can be determined by using arithmetic operations.

Given :

The following steps can be used to determine the number could Kim has rolled:

Step 1 - Let the three numbers be a,b, and c.

Step 2 - Given that the product of these numbers is 60.

\(a\times b \times c = 60\)

Step 3 - So, the possible values of a, b, and c are:

a = 2

b = 5

c = 6

Step 4 - Check the product of a, b, and c if it is 60 then it is correct.

\(2\times 5\times 6 = 60\)

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Using relations in a right triangle, the secant of angle θ is given by:

D. 5/4.

The relations in a right triangle are given as follows:

Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:

h² = 9² + 12²

h = sqrt(9² + 12²)

h = 15.

The secant of an angle is 1 divided by the cosine, hence:

Which means that option D is correct.

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Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

We are agree with the statement that is Calvin selected a card, his egg carton was already filled. He promises to fill up his egg carton.

Given that,

4 Drawing fraction cards from a deck to add up to totals that fill a 12-egg carton is the object of the game Calvin and Leah are playing. When Calvin selected a card, his egg carton was already filled. He promises to fill up his egg carton.

We have to find whether we agree or disagree if yes why.

We know that,

In the picture we can see

1/3×12=12/3=4

Calvin has 4 egg cartons full.

Then he close a card with 8/12

8/12×12=8

Then 8+4=12

Calvin will fill the cartons with eggs full.

Therefore, We are agree with the statement that is Calvin selected a card, his egg carton was already filled. He promises to fill up his egg carton.

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