2. When x is -1.5 , what value of y makes the equation true

Answer:

No solution

Step-by-step explanation:

y=5x-9

y=5x+9

5x + 9 = 5x - 9

    - 9          - 9

5x = 5x - 18

- 5x - 5x

0 = 18

No solution

Hope this helps!

When y= 105 then x= 15.

A proportion is an equation in which two ratios are set equal to each other.

given:

At x=3, y=21

at y= 105 , x=?

So, creating proportionality

105/x= 21/3

105/x = 7

x= 105/7

x=15

Hence, when y= 105 then x= 15.

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The question attached here is incomplete.

The complete question is

The value of y varies directly with x. If x = 3, then y = 21. What is the value of x when y = 105?

Answer:

Playing a would be 50-7.50 which is 47.50 and take that and add that to 16 which is 137.50

Step-by-step explanation:

Hope this helps :D

Answer:

30 minutes

Step-by-step explanation:

20+30+20--80

Solution

For this case we can find the area of each triangle in the following way:

Total area is:

A= 1*1 =1

We can assume that the lenght of each side of the square is 1 then we can find the area of a like this:

a = 1/2 (1/2*1/2) = 1/8

c = 1/2 (1/2*1/2) = 1/8

We can find the area of part b like this:

b= 1/2 - 1/8 -1/8 = 1/4

We can find the proportion for the figure d like this:

d= 1/2 (1/2*1/2)= 1/8

And for the part e we can do the following:

e= 1/2 - 1/8= 3/8

Answer:

51

Step-by-step explanation:

Answer:

Try looking it up on slader or like math

way, it could help

Answer:

The water level drop in temperature per hour is 40 °C per hour

Unit rate

   Hours between 10 P.M. and 7:36 A.M = 9 hours 36 minutes

= 9.6 hours

   The total decrease in temperature = 6/25

The unit rate of decrease in temperature per hour = Hours between 10 P.M. and 7:36 A.M ÷ Total drop in temperature

= 9.6 ÷ 6/25

= 9.6 × 25/6

= 240/6

= 40 °C per hour

Therefore, the water level drop in temperature per hour is 40 °C.

Given :

Marcus is a recent college graduate. He has $18,000 in student loans. He took out a loan to buy a car and owes $16,000. The car is now worth $14,000. He got his first paycheck and has $1400 in his checking account.

To Find :

Marcus's net worth.

Solution :

We know, net worth is given by :

Net worth = $( Total amount owns - Total loan )

Net worth = $( 16000+1400) - ( 18000+14000)

Net worth = $(17400 - 32000)

Net worth = $-14600

Therefore, Marcus' net worth is $-14600 ( He is in a loan of $14600).

Hence, this is the required solution.

Responder:

0.6666666666...pi radianes

Explicación:

La fórmula es:

120° x pi / 180°

Entonces, 0.6666666666...pi radianes

Answer:yes

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

By the property of intersecting chords,

If two chords are intersecting at a point inside a circle, product of lengths of the line segments on each chord is equal.

DI × EI = HI × GI

12 × EI = 8 × 6

EI = \(\frac{48}{12}\)

EI = 4

Therefore, Option D is the correct option.

The estimate for the number of people voting in 2036 is given as follows:

3.21 million.

To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.

Considering 1988 as the reference year, the points are given as follows:

(0, 1.74), (4, 1.82), (8, 1.89), (12, 1.97), (16, 2.19), (20,  2.29).

Inserting these points into the calculator, the line of best fit is given as follows:

y = 0.03x + 1.7.

Hence the estimate for 2036, which is 48 years after 1988, is given as follows:

y = 0.03(48) + 1.7

y = 3.21 million.

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On solving the provided question we can say that So, we have two solutions: t = (9/2) or t = (-6/2) = -3

A quadratic equation is x ax2+bx+c=0, which is a single variable quadratic polynomial. a 0. Because this polynomial is of second order, the Basic Theorem of Algebra implies that it has at least one solution. Simple or complex solutions are possible. A quadratic equation is a quadratic equation. This means it has at least one word that must be squared. One of the most common solutions for quadratic equations is "ax2 + bx + c = 0." where a, b, and c are numerical coefficients or constants. where the variable "X" is unnamed.

So, we can set h(t) = 0 and solve for t:

\(0 = t^2 + 3t - 18\\t = (-3 + \sqrt (3^2 - 4(1)(-18))) / (2(1))\\t = (-3 + \sqrt (81)) / 2\\t = (-3 + 9) / 2\\\)

So, we have two solutions:

t = (9/2) or t = (-6/2) = -3

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Answer + Step-by-step explanation:

an= 4(2)ⁿ⁻¹

First term (n = 1) :

a1= 4(2)¹⁻¹ = 4(2)⁰ = 4×(1) = 4

Second term (n = 2) :

a2= 4(2)²⁻¹ = 4(2)¹ = 4×(2) = 8

Third term (n = 3) :

a3= 4(2)³⁻¹ = 4(2)² = 4×(4) = 16

Fourth term (n = 4) :

a4= 4(2)⁴⁻¹ = 4(2)³ = 4×(8) = 32

Answer:

$1,461.60

Step-by-step explanation:

Value of the stock in the first year if value increased by 16% = 1500 x (1.16) = $1740

1.16 = 100% + 16% = 116%

Value of the stock in the second year if value decreased by 16% = $1740 x 0.84 = $1,461.60

0.84 = 100% - 16% = 84%

Answer:

The function is increasing from x = 0 to x = 1.

Step-by-step explanation:

The value of g(0) is less than g(1), meaning g(x) increased from x=0 to x=1.

Given:

Required:

We need to find f(b).

Explanation:

Replace x =b in the given equation to find the value of f(b).

Final answer:

The third term of the sequence is 41.

Given,

Tn = 50 - n²

Tn = 50 - (3)²

Tn = 50 - 6

Tn = 41

As the third term is required substitute the value in the main equation 50 - n² which gives T3 = 41.

As the third term is necessary, replace 50 - n² in the main equation, yielding T3 = 41.

Arithmetic Progression is a series of numbers in which the difference between consecutive terms is constant. One approach is to calculate the arithmetic mean. To do this, sum all the values ​​and divide the sum by the number of values. For arithmetic sequences, use the expression a = a1 + (n1) d. where a is the term, a1 is the difference of the first term, and d is the difference of the subsequent term.

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For the probability density function, f(x)=4,[2.25,2.50], the mean μ= 2.375 , the variance σ²= 0.0052 , and the standard deviation σ= 0.0072. The answer is option (B).

To determine the value of the mean, variance and the standard deviation, follow these steps:

Hence, option (B) is the correct choice.

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Answer:

2431.01

Step-by-step explanation:

Answer:

look at the attacked image

Step-by-step explanation:

Answer:

x = 179/9 or 19 1/9

Step-by-step explanation:

Distribute:

-12x-(12x+4)+12=12x-6(3x+56)

then add your numbers:

-12x-12x- 4+12=12x-6(3x+56)

-12x- 12x+ 8 =12x-6 (3x+56)

then combine like terms:

-12x-(12x+4)+12=12x-6(3x+56)

-24x + 8 = 12x - 6 (3x + 56)

distribute again:

-24x + 8 = 12x- 6 (3x + 56)

-24x + 8 = 12x- 18x -336

combine like terms once again:

-24x + 8 = 12x -18x -336

-24x + 8 = -6x -336

subtract 8 from both sides of equation:

-24x + 8 = -6x -336

-24x + 8- 8 = -6x -336- 8

simplify:

-24x = -6x -344

add 6x to both sides:

-24x = +6x -344 + 6x

simplify: -18x = -344

divide: -18/-18 = -344/-18

Simplify and your answer should be 172/9 or 19 1/9

We can conclude that after 75 years, the town will have 53.3 acres of conservation land.

Given that a town has 10 acres of conservation land and plans to increase the amount of conservation land by 11.5% every 5 years, we can calculate the amount of conservation land there will be after 75 years.

To determine the increase in conservation land over 5 years, we use the formula:

Increase = (11.5/100) × 10 = 1.15 acres

The conservation land after 5 years would be:

10 + 1.15 = 11.15 acres

Continuing this pattern, we can find the conservation land after 10 years, 15 years, and so on:

Conservation land after 10 years = 11.15 + 1.15 = 12.3 acres

Conservation land after 15 years = 12.3 + 1.15 = 13.45 acres

We can continue this calculation for each 5-year interval up to 75 years, as follows:

Conservation land after 20 years = 16.3 acres

Conservation land after 25 years = 18.05 acres

Conservation land after 30 years = 19.97 acres

Conservation land after 35 years = 22.13 acres

Conservation land after 40 years = 24.56 acres

Conservation land after 45 years = 27.3 acres

Conservation land after 50 years = 30.4 acres

Conservation land after 55 years = 34.0 acres

Conservation land after 60 years = 38.0 acres

Conservation land after 65 years = 42.4 acres

Conservation land after 70 years = 47.5 acres

Conservation land after 75 years = 53.3 acres

Therefore, after 75 years, the town will have approximately 53.3 acres of conservation land.

Applying the above calculations, we can conclude that after 75 years, the town will have 53.3 acres of conservation land.

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The amount needed for retirement, rounded to the nearest cent, is option b. $398,407.85.

To determine the amount needed for retirement, we can use the present value formula for an annuity. In this case, we want to calculate the present value of the monthly withdrawals of $2,154 for 30 years, with a monthly interest rate of 5.1%.

First, we need to convert the interest rate to a monthly decimal rate. We divide 5.1% by 100 to get 0.051, and then divide it by 12 to get 0.00425.

Next, we use the formula: PV = PMT * (1 - (1 + r)^(-n)) / r, where PV is the present value, PMT is the monthly withdrawal amount, r is the monthly interest rate, and n is the total number of withdrawals.

Plugging in the values, we have:

PV = $2,154 * (1 - (1 + 0.00425)^(-12*30)) / 0.00425

Using a calculator, we find that PV is approximately $398,407.85.

Therefore, the amount needed for retirement, rounded to the nearest cent, is option b. $398,407.85. This amount will allow the individual to make monthly withdrawals of $2,154 for 30 years from an account paying 5.1% compounded monthly.

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The standard form equation of an ellipse with center at the origin, vertex (0,√29), and co-vertex (-5,0) can be written as:

x^2/a^2 + y^2/b^2 = 1

where a is the length of the semi-major axis (distance from the center to the vertex), and b is the length of the semi-minor axis (distance from the center to the co-vertex).

Since the vertex is (0,√29), we know that a = √29. And since the co-vertex is (-5,0), we know that b = 5. Substituting these values into the equation, we get:

x^2/29 + y^2/25 = 1

So, the equation of the ellipse in standard form with center at the origin, vertex (0,√29), and co-vertex (-5,0) is x^2/29 + y^2/25 = 1.

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9514 1404 393

Answer:

  (x, y) = {(-32/17, 49/17), (-2, 1)}

Step-by-step explanation:

I find a graphing calculator to be quite helpful in finding the solutions.

  (x, y) = {(-1.882, 2.882), (-2, 1)}

__

For this sort of system of equations, substitution works nicely as a solution method.

The first equation tells us ...

  y = 1 - x

Using that in the second equation, we get ...

  16x² +(1 -x)² = 65

  16x² +1 -2x +x² = 65 . . . . . eliminate parentheses

  17x² -2x -64 = 0 . . . . . . . . collect terms, subtract 65

  (x -2)(17x +32) = 0 . . . . . . . factor

Solutions are the values of x that make the factors zero: x = 2, x = -32/17.

The corresponding y-values are ...

  for x=2, y = 1-2 = -1

  for x=-32/17, y = 1-(-32/17) = 49/17

The solutions are ...

  (x, y) = (2, -1)  or  (-32/17, 49/17)

Answer:

The third picture

Step-by-step explanation:

You stopped 2 times in your journey.

When you stop in a distance tome graph means that it is at rest, you are not moving/the speed is not moving. Without speed the distance stays the same.