1. Use the figure below to answer the questions.

(a) Solve for x.

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Answer:

,,Answer:

The given equation 3x − 7 = 4 + 6 + 4x has one solution.

Step-by-step explanation:

Given : Equation 3x − 7 = 4 + 6 + 4x

We have to find the number of solutions of the given equation.

Consider the given equation 3x − 7 = 4 + 6 + 4x

Simplify, we have,

3x − 7 = 10 + 4x

Now subtract 3x both side, we have

-7 = 10 + 4x - 3x

Simplify, we have,

- 7 = 10 + x

Subtract 10 both side, we have,

-7 - 10 = x

x = - 17

Thus, The given equation 3x − 7 = 4 + 6 + 4x has one solution.

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Answer:

7e+6

Step-by-step explanation:

7e+6 miligramos

(a) System (a) is causal and stable.

(b) System (b) is causal and stable.

(c) System (c) is causal but unstable.

(d) System (d) is non-causal and unstable.

To determine causality, we need to check if the impulse response h[n] is non-zero only for non-negative values of n. If h[n] = 0 for n < 0, the system is causal.

(a) For system (a), h[n] = ()"u[n]. Here, h[n] is non-zero only for n ≥ 0, which satisfies the condition for causality. Therefore, system (a) is causal.

(b) For system (b), h[n] = (0.8)"u[n+2]. Here, h[n] is non-zero only for n+2 ≥ 0, which implies n ≥ -2. Hence, the system is causal.

(c) For system (c), h[n] = ()"u[n]. In this case, h[n] = 0 for n < 0, satisfying the condition for causality. However, the impulse response is unbounded as n → ∞ since ()"u[n] does not decay with increasing n. Therefore, system (c) is unstable.

(d) For system (d), h[n] = (5)"u[3 - n]. Here, the impulse response is non-zero for n > 3, violating the condition for causality. Hence, system (d) is non-causal.

To determine stability, we need to check if the impulse response h[n] is absolutely summable, i.e., ∑|h[n]| < ∞. If the sum is finite, the system is stable.

(a) For system (a), ()"u[n] is a geometric series that converges to a finite value for all n. Therefore, system (a) is stable.

(b) For system (b), (0.8)"u[n+2] is also a geometric series that converges to a finite value. Hence, system (b) is stable.

(c) For system (c), the impulse response ()"u[n] does not converge as n → ∞ since it does not decay. Therefore, system (c) is unstable.

(d) For system (d), (5)"u[3 - n] is also an unbounded sequence as n → ∞. Thus, system (d) is unstable.

(a) System (a) is causal and stable.

(b) System (b) is causal and stable.

(c) System (c) is causal but unstable.

(d) System (d) is non-causal and unstable.

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Answer:

x = 11

Step-by-step explanation:

3 x 11 = 33

33-5 = 28

x = 11

Answer:

10

Step-by-step explanation:

Given

h(x) = 3x - 5

h(x) = 25

3x - 5 = 25

3x = 25 + 5

3x = 30

x = 30 / 3

x = 10

Step-by-step explanation:

You will need the hypotnuse. to find that use a squared plus b squared is c squared

Answer:

n = 6

Step-by-step explanation:

To write the ratio 2.5 meters to 60 centimeters in the form 1:n, we need to convert both quantities to the same unit. Since 1 meter is equal to 100 centimeters, we can convert 2.5 meters to centimeters by multiplying by 100:

2.5 meters = 2.5 x 100 = 250 centimeters

Now we can write the ratio as:

250 : 60

To simplify this ratio, we can divide both sides by their greatest common factor (GCF), which is 10:

250 ÷ 10 : 60 ÷ 10

25 : 6

So, n is 6

Answer:

7

Step-by-step explanation:

42/6=7

\([Hello,BrainlyUser]\)

Answer:

3x + 6

Step-by-step explanation:

0.5 · 6= 3x

0.5 · 12 = 6

Hence 3x + 6

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a)   The deposit required at the beginning of the period is $6,314.95.

b)   The interest earned is $526.61.

A)   The cash price of the piano is $7,327.55.

b)    The cost of financing is $2,614.30.

(a) To receive $525 at the end of every three months for 2 years, we need to make 2 x 4 = 8 payments. Let P be the deposit required at the beginning of the period. Then we have:

P(1 + 0.112/4)^8 = 525[(1 + 0.112/4)^3 - 1]/(0.112/4)

Solving for P, we get:

P = $6,314.95

Therefore, the deposit required at the beginning of the period is $6,314.95.

(b) Each payment of $525 includes both principal and interest. The amount of principal in each payment is the same, namely $525/(1 + 0.112/4)^n, where n is the number of quarters that have passed since the beginning of the period. The amount of interest in each payment is the difference between $525 and the amount of principal in each payment. The interest earned on the deposit is the total amount of interest received minus the sum of the amounts of interest in each payment.

Using these formulas, we find that the amount of interest earned on the deposit is approximately $526.61.

Therefore, the interest earned is $526.61.

(a) Luisa paid $143 at the end of each month for 5 years, which is a total of 12 x 5 = 60 payments. Let C be the cash price of the piano. Then we have:

C = 143[(1 - (1 + 0.0855/12)^-60)/(0.0855/12)]

Solving for C, we get:

C = $7,327.55

Therefore, the cash price of the piano is $7,327.55.

(b) The total cost of financing is the total amount paid minus the cash price of the piano. Using the formula for the total amount paid, we find that the cost of financing is approximately $2,614.30.

Therefore, the cost of financing is $2,614.30.

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Answer:

a. Line BC and Line GH

b. Line AC and line AJ

c. No, because if they were perpendicular, they would intersect at a 90 degree angle.

Step-by-step explanation:

a. Whenever two lines share identical little triangle marks - such as line BC and line GH in this case - it indicates that those lines are parallel.  

b. The little red square at the intersection of line AC and line AJ indicates a 90 degree angle. Whenever two lines intersect at a 90 degree angle, it means they are perpendicular. So, Line AC and line AJ would be perpendicular.

c. The upside down T symbol means "perpendicular," so the question is asking if line BC and line AJ are perpendicular. However, they cannot be since there is no indication on the diagram that they do - no symbols of 90 degree angles - that we can use to prove that they are perpendicular.

1 solution: (-1,-3)

1) Since we are going to solve these systems graphically, let's begin by setting one pair of t-tables:

b) 2x-y=1, y=-3

2x-y=1 ⇒-y= 1 -2x ⇒ y=2x-1

Now, let's plot those points and trace one increasing line for the first one, and one horizontal line for the constant function y=-3

2) Plotting that system, we can tell the solution is the common point to both equations:

Thus, the answer is (-1,-3)

Answer:-

-5/6, -1/6, 5/3

Step-by-step explanation:

1. the greatest negative number always is the least number.

       When you have questions like this think about it if the numbers were on a numberline.

        -5/6 would go first because that number is the furthest to the left. 5/3 would be the greatest because that number is furthest to the right.

Answer:

a/9 - 4

Step-by-step explanation:

The expression will be (x/9) - 4.

It is given that a number x is the quotient of a number and 9 decreased by 4.

We have to find the variable expression for this.

What will be the expression for , 2 times of a number minus 4 ?

The expression will be 2x -4.

Quotient of a number and 9

= x / 9

Decrease this by 4 ; we get

= (x / 9 ) - 4

Thus , the expression will be (x/9) - 4.

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Answer:

-67>-76

|-24|<|-42|

|45|<|-54|

Step-by-step explanation:

The first question is easy, when you're comparing negatives, the number that looks lower is actually greater. The second and third ones are a bit trickier. This --> || means the opposite of. Like |5| means -5. so just swap the numbers around and you have your answer.

The solution of a system of equations using elimination is x = 3 and y = 9. Hence option 3 is true.

Given that;

The system of equations,

- 3x + 2y = 9

x + y = 12

Now solve the system of equations using the elimination method

-3x + 2y = 9....... Equation 1

x + y = 12 .......... Equation 2

Multiply the 2nd equation with 3;

3x + 3y = 36  .... equation 3

Now, Add equation 3 and Equation 1;

5y = 45

y = 45/5

y = 9

From equation 2;

x + y = 12

x + 9 = 12

x = 12 - 9

x = 3

Therefore, the solution of a system of equations using elimination is x = 3 and y = 9. Hence option 3 is true.

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To solve the system of equations using elimination:

−3x + 2y = 9

x + y = 12

We can multiply the second equation by 3 to eliminate the x term:

(3)(x + y) = (3)(12)

This simplifies to:

3x + 3y = 36

Now, we can add the two equations together to eliminate the x term:

(-3x + 2y) + (3x + 3y) = 9 + 36

5y = 45

Next, we can solve this new equation for y:

5y = 45

y = 9

Now, we can substitute this value of y back into one of the original equations. Let's use the second equation:

x + y = 12

x + 9 = 12

x = 12 - 9

x = 3

Therefore, the solution to the system of equations is:

(x, y) = (3, 9)

So the correct answer is:

(3, 9)

The solutions of the inequality \(2x^{2} + x - 6 = 0\) are 3/2, -2. This can be found by using the Quadratic Formula, which states that for any quadratic equation of the form \(ax^{2} +bx + c = 0\), the solutions are \(x = -b +/-\sqrt{b^{2} -4ac} /2a\).

Discriminant: b² - 4 a c = 1 - 4(2)(-6) = 1 + 48 = 49

Solution 1: x = \(-b + \sqrt{b^{2} -4ac} /2a\) = (-1 + √49)/(2×2) = (-1 +7)/4 = 6/4 = 3/2

Solution 2: x = \(-b-\sqrt{b^{2} -4ac} /2a\)= (-1 - √49)/(2×2) = -8/4 = -2

So, the two solutions are 3/2 and -2.

The equation can also be written as,

\(2x^{2} +4x -3x-6=0\)

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

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

x = 3/2, -2

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Answer:

the answer is A

Step-by-step explanation:

An abrupt increase in the income guarantee over a short period of time would be the most useful source of time series variation to identify the effect of income guarantees on labor supply.

By implementing an abrupt increase in the income guarantee, we create a significant change in the treatment variable (income guarantee) within a short time frame. This creates a clear contrast between the periods before and after the increase, allowing us to isolate the impact of the income guarantee on labor supply.

With this approach, we can analyze the changes in labor supply patterns before and after the abrupt increase in the income guarantee. By comparing these periods, we can attribute any observed differences in labor supply to the income guarantee, as other factors are less likely to have changed abruptly during this time.

Using an abrupt increase in the income guarantee provides a stronger causal inference because it minimizes the potential influence of confounding factors that may affect labor supply. By focusing on a single significant change, we can better isolate and attribute the observed variations in labor supply to the income guarantee intervention.

It is worth noting that other factors such as data availability, sample size, and the ability to control for potential confounders should also be considered in order to conduct a rigorous analysis of the effect of income guarantees on labor supply.

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Answer:

Step-by-step explanation:

the translation of point P(4, -4) to point P’(7, 0)

is right 3 and up 4

P' ( x+3 , y+4)

P'(4+3 , -4+4)

p'(7,0)

Answer:

x is 12

Step-by-step explanation:

» From scalar properties:

\({ \tt{ \frac{FG}{FH} = \frac{AB}{AC} }} \\ \\ { \tt{ \frac{9}{6} = \frac{18}{x} }} \\ \\ { \tt{x = \frac{18 \times 6}{9} }} \\ \\ { \boxed{ \tt{ \: x = 12 \: }}}\)

The number of possible permutations of the three letters C, D, and E is d.6

A permutation is an arrangement of objects in a specific order. In this case, we are looking at the number of possible arrangements of the three letters C, D, and E. To find the number of permutations, we can use the formula:

n! = n x (n-1) x (n-2) x ... x 3 x 2 x 1

where "n" is the number of distinct objects to be permuted.

So for our problem, we have three distinct objects (C, D, and E). Therefore, we can plug in n=3 to get:

3! = 3 x 2 x 1 = 6

This means there are 6 possible ways to arrange the letters C, D, and E in different orders. We can list all of these permutations as follows:

CDE

CED

DCE

DEC

ECD

EDC

So the answer to the question is 6, as given in option (d).

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Answer:

No solutions

Step-by-step explanation:

The line -4x+5y=7 and 8x-10y=15 have the same slope, so they are parallel, meaning that there are no solutions

Answer:

4536

Step-by-step explanation:

yes

Answer:

158 degrees

Step-by-step explanation:

We know that Lines A & B are parallel, meaning that the angels would also be parallel.

ex)

angle y = angle x

angle z = angle r

So therefore:

Can I be marked brainly?

To find the point on the hyperbola xy = 8 that is closest to the point (3, 0), we can use the distance formula. The distance between two points (x1, y1) and (x2, y2) is given by the formula:

Distance = √[(x2 - x1)² + (y2 - y1)²]

Let's denote the coordinates of the point on the hyperbola as (x, y). Substituting the given coordinates (3, 0) and the equation of the hyperbola xy = 8 into the distance formula, we get:

Distance = √[(x - 3)² + (y - 0)²]

Now, we need to minimize this distance. Since the distance is squared, we can minimize the square of the distance, which is:

Distance² = (x - 3)² + y²

To minimize this expression, we can take its derivative with respect to x and y and set them equal to zero. Let's differentiate Distance² with respect to x and y:

d(Distance²)/dx = 2(x - 3)

d(Distance²)/dy = 2y

Setting these derivatives equal to zero, we have:

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

2y = 0 => y = 0

Therefore, the point on the hyperbola xy = 8 that is closest to the point (3, 0) is (3, 0).

Note that the distance from (3, 0) to any point on the hyperbola xy = 8 is always the same, which means the hyperbola is equidistant from the point (3, 0).

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Answer:

1/8th

Step-by-step explanation:

since there are 24 hours in a day

Answer: 1/8

Step-by-step explanation:

a day is 24 hours long. If you spend 3 hours out of 24 hours a day to practice piano it would be 3/24. Then to get it in simpilest  form, you divide 3 by 3 and 24 by 3 which would get you the answer 1/8.

Hope i helped have a good rest of your day!!