Solve by the substitution method. 8x + 9y=56 -9x + y = 26​

Answer:

3 more than the product of 7 and 4

Step-by-step explanation:

Because of PEMDAS, we are supposed to multiply (M) before we add (A). So our answer has to be the product of 7 and 4 and then something. The first option doesn't work because we're adding 3, not subtracting 3. The second option contradicts the rules of PEMDAS, so it doesn't work either.

The third option works because it shows multiplication first and then addition of 3, but let's test the last option just in case. This one is incorrect because it shows addition before multiplication.

So the third option, 3 more than the product of 7 and 4, is correct. Hopefully that all makes sense! :)

Answer:

B. y = 5x-1

Step-by-step explanation:

B. y = 5x-1 is not an exponential function.

Answer:

The slope of the line through the points is -5/7

Step-by-step explanation:

Here, we want to calculate the value of the slope through the lines

Mathematically;

m = y2-y1/(x2-x1)

Where (x1,y1) = (-4,2)

and (x2,y2) = (3,-3)

Substituting these values, we have;

m = (-3-2)/(3-(-4)) = -5/7 = -5/7

The slope of the line through (-4, 2) and (3, -3) is; -5/7

According to the question;

The slope, m of the line is given mathematically as;

Therefore, in this case;

Slope, m = -5/7

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Therefore, the probability that the red team wins is 60%, and the probability that the blue team wins is 55%, based on this we can conclude for a 180-game season:

The fan expect the red team wins 108 games

For the blue team:

As compared to the blue team, the red team:

Will win 7 games more than the blue team

Answer:

33.5410196625 ????

Step-by-step explanation:

the answer to your question is 4 times 6, 4 times 3 + 4 times 3

have a nice day

Answer:

the answer to this math question is

4 times 6, 4 times 3 + 4 times 3

Step-by-step explanation:

Aleks Verfied

Answer:                                                                                                                                                       Lafayette Golf Course has a membership fee of $80 a year plus $15 ... Municipal Golf Course has a membership fee of $120 a year plus $10 a round. ... represents the annual cost of a member golfing at Lafayette Golf Course.

Step-by-step explanation: I rote this answer fist someone copied me.

Answer:

V = 7385.28

Step-by-step explanation:

Formula of the volume of a cylinder: V = pi*r^2*h

Since you are told to replace pi with 3.14, now plug in the numbers that you are given into the formula...

V = (3.14)(14)^2*(12)

= 7385.28

Notes: Remember you always have to divide your radius in half if it gives you a diameter, BUT since in this question it's given, you don't have to do any extra work :)

Answer:

Options (3) and (6)

Step-by-step explanation:

"A straight line is a set of all points between two points and extending beyond these points."

Therefore, from the given diagram,

Arrows connecting set of two points B and C and D and E will be straight lines.

Geometrically we denote them with an arrow over the line.

\(\overleftrightarrow {BC}\) and \(\overleftrightarrow {DE}\)

Therefore, Options (3) and (6) will be the answer.

Answer:

\(\angle FCB\)

Step-by-step explanation:

Supplementary angles are angles that sum to \(180^{\circ}\). In this case, \(\angle FCB\) is supplementary to \(\angle DCF\) since they add up to the angle of a straight line which is \(180^{\circ}\).

Hope this helps :)

From the given equation, we are to solve for b.

Hence the answer of b is -108.

The probability of all four landing on tails is 1/16

The types of coins are given as:

Coins = penny, nickel, dime, and quarter.

This means that the number of coins is

Count = 4

Each of the four coins have the following faces

Faces = Head or Tail

So, the probability of landing on tail on each of the coin is

P(Tail) = 1/2

For the 4 coins, we have

P(All tail) = (1/2)⁴

Evaluate

P(All tail) = 1/16

So, the probability is 1/16

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Answer: 15 - 6i

Step-by-step explanation:

3(5-2i)

3×5+3×(−2i)

Do the multiplications.

15−6i

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

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Answer:

Here’s the graph

Step-by-step explanation:

The equation of the line in point-slope form that matches the graph passing through the points (6, 2) and (10, -1) is:

y = (-3/4)x + 13/2

The correct answer is: Option C: y - 2 = -3/4(x - 6).

Here, we have to find the equation of the line in point-slope form that matches the graph passing through the points (6, 2) and (10, -1), we first need to find the slope (m) of the line using the formula:

\(m = (y_2 - y_1) / (x_2 - x_1)\)

where \((x_1, y_1) = (6, 2) ; (x_2, y_2) = (10, -1)\).

m = (-1 - 2) / (10 - 6)

m = (-3) / 4

Now that we have the slope (m), we can use the point-slope form of the equation of a line:

\(y - y_1 = m(x - x_1)\)

Using the point (6, 2):

y - 2 = (-3/4)(x - 6)

Now, simplify the equation:

y - 2 = (-3/4)x + 9/2

Finally, move -2 to the other side to get the equation in the point-slope form (y = mx + b):

y = (-3/4)x + 9/2 + 2

y = (-3/4)x + 9/2 + 4/2

y = (-3/4)x + 13/2

So, the equation of the line in point-slope form that matches the graph passing through the points (6, 2) and (10, -1) is:

y = (-3/4)x + 13/2

The correct answer is: Option C: y - 2 = -3/4(x - 6).

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complete question:

missing graph is attached:

Event X: Shirley gets an A in math

Event Y: Shirley gets an A in science

Now, the probabilities are:

X and Y are independent events, so the probability of X and Y can be calculated by:

Using the values for the probabilities, and rounding the answer to the nearest tenth:

Answer:

X^2 -4

Step-by-step explanation:

Not entirely sure but would u just expand the brackets. As this is a difference between 2 squares the answer should be correct but it not sure.

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

9×\(\frac{1}{3}\)

9×1/1×3=

\(\frac{9}{3}\)÷3=

3!!!!

Step-by-step explanation:

a)

Fill in the table:

b)

The score of 4 is obtained in 2 cases out of 12 as per above table.

The probability is:

c)

The score of 10 is obtained once in 12 cases as per table.

The probability is:

Out of 60 times he can score 10:

For a real number x, by using mathematical induction it is shown that a\((1 + x)^{2n}\) > 1 + 2nx for every positive integer n.

To prove the inequality a\((1 + x)^{2n}\) > 1 + 2nx  for every positive integer n, we will use mathematical induction.

The inequality holds true for n = 1, and we will assume it is true for some positive integer k.

We will then show that it holds for k + 1, which will complete the proof.

For n = 1, the inequality becomes a\((1 + x)^2\) > 1 + 2x.

This can be expanded as a(1 + 2x + \(x^2\)) > 1 + 2x, which simplifies to a + 2ax + a\(x^2\) > 1 + 2x.

Now, let's assume the inequality holds true for some positive integer k, i.e., a\((1 + x)^{2k}\) > 1 + 2kx.

We need to prove that it holds for k + 1, i.e., a\((1 + x)^{2(k+1)}\) > 1 + 2(k+1)x.

Using the assumption, we have a\((1 + x)^{2k}\) > 1 + 2kx.

Multiplying both sides by \((1 + x)^2\), we get a\((1 + x)^{2k+2}\) > (1 + 2kx)\((1 + x)^2\).

Expanding the right side, we have a\((1 + x)^{2k+2}\) > 1 + 2kx + 2x + 2k\(x^2\) + 2\(x^2\).

Simplifying further, we get a\((1 + x)^{2k+2}\) > 1 + 2(k+1)x + 2k\(x^2\) + 2\(x^2\).

Since k and x are positive, 2k\(x^2\) and 2\(x^2\) are positive as well.

Therefore, we can write a\((1 + x)^{2k+2}\) > 1 + 2(k+1)x + 2k\(x^2\) + 2\(x^2\) > 1 + 2(k+1)x.

This proves that if the inequality holds for some positive integer k, it also holds for k + 1.

Since it holds for n = 1, it holds for all positive integers n by mathematical induction.

Therefore, we have shown that a\((1 + x)^{2n}\) > 1 + 2nx  for every positive integer n.

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Answer:

h = 3 yards

Step-by-step explanation:

volume = width X length X height

             = 7 X 4 X h

            = 28h

             = 84.

so 28h = 84, h = 84/28 = 3 (yards)

Answer:

$681.50

Step-by-step explanation:

$13.63 x 50 = $ 681.50

Answer:

C would be your answer

Step-by-step explanation:

The equation of the ellipse with focus at (-2,0) and vertices at (±7, 0) is given as follows:

x²/49 + y²/45 = 1.

The equation of an ellipse of center (h,k) is given by the equation presented as follows:

(x - h)²/a² + (y - k)²/b² = 1.

The center of the ellipse is given by the mean of the coordinates of the vertices, as follows:

Hence:

x²/a² + y²/b² = 1.

The vertices are at x + a and x - a, hence the parameter a is given as follows:

a = 7.

Considering the focus at (-2,0), the parameter c is given as follows:

c = -2.

We need the parameter c to obtain parameter b as follows:

c² = a² - b²

b² = a² - c²

b² = 49 - 4

b² = 45.

Hence the equation is given as follows:

x²/49 + y²/45 = 1.

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Answer:

1 is 16 and 2 is 1.28

Step-by-step explanation:

you got them correct

Answer:

6.

Step-by-step explanation:

We are asked to find a number that is a solution to the equation 2x + 1 = 37 - 4x.

First, let's identify a key component, or an important property for a problem like this. Substitution.

Substitution is replacing a unknown placeholder, or variable with a known value.

For this problem, we are given 5 number values to substitute into the equation. Let's substitute these 5 numbers in, and identify whether or not they are a solution.

Substitute:

Let's start with the number 5.

\(2(5)+1=37-4(5)\)

Simplify:

\(11\neq 17\)

5 is not a solution to this equation.

Substitute:

Let's use the number 9.

\(2(9)+1=37-4(9)\)

Simplify:

\(19\neq 1\)

9 is not a solution to this equation.

Substitute:

Let's use the number 6.

\(2(6)+1=37-4(6)\)

Simplify:

\(13=13 \ \checkmark\)

6 is a solution to this equation.

Substitute:

Let's use the number 8.

\(2(8)+1=37-4(8)\)

Simplify:

\(17\neq 5\)

8 is not a solution to this equation.

Substitute:

Lastly, let's use the number 4.

\(2(4)+1=37-4(4)\)

Simplify:

\(9\neq 21\)

4 is not a solution to this equation.

The only possible solution is 6.

Answer:

They both have q+3/2p, so that means that 2PQ=CB and that means they are parallel to each other

Step-by-step explanation:

PQ=PA+QA

PQ=1/2(2q-p)+2/5*5p=q-1/2p+2p=q+3/2p

CB=2q+3p=2(q+3/2p)

Answer:

p

Step-by-step explanation:

In this case, the highest degree term is n^7 in the numerator and n^3 in the denominator. Therefore, as n approaches infinity, the sequence grows without bound and diverges. So the answer is "diverges".

To determine if the sequence converges or diverges and find the limit, we'll analyze the given sequence a_n = n^4 / (n^3 - 9n).
Step 1: Identify the highest power of n in both the numerator and the denominator. In this case, it's n^4 in the numerator and n^3 in the denominator.
Step 2: Divide both the numerator and the denominator by the highest power of n found in the denominator, which is n^3.
a_n = (n^4 / n^3) / ((n^3 - 9n) / n^3)
Step 3: Simplify the expression.
a_n = (n) / (1 - (9/n^2))
Step 4: Take the limit as n approaches infinity.
lim n→∞ a_n = lim n→∞ (n) / (1 - (9/n^2))
As n approaches infinity, the term (9/n^2) approaches 0 since the denominator grows much faster than the numerator.
lim n→∞ a_n = lim n→∞ (n) / (1 - 0)
Step 5: Evaluate the limit.
lim n→∞ a_n = ∞

Since the limit goes to infinity, the sequence diverges. Therefore, the answer is "diverges." To determine whether the sequence converges or diverges, we can look at the highest degree term in the numerator and denominator.

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Answer:

B Possibly?

Step-by-step explanation: