Round to the nearest cent. $0.435

The given equation is y + 2 = 2(x + 3) and the x-intercept is -2.

To find the x-intercept of the equation y + 2 = 2(x + 3), we need to set y equal to zero and solve for x. The x-intercept occurs when the value of y is zero, meaning the graph crosses the x-axis.

Let's substitute y with 0 in the equation:

0 + 2 = 2(x + 3)

Simplifying the equation:

2 = 2(x + 3)

Dividing both sides by 2:

1 = x + 3

Subtracting 3 from both sides:

-2 = x

The x-intercept is -2. This means that the graph of the equation y + 2 = 2(x + 3) crosses the x-axis at the point (-2, 0).

The x-intercept represents the value of x where the graph intersects or crosses the x-axis. In this case, it occurs when x is equal to -2, and the y-value is zero.

For more such questions on x-intercept

https://brainly.com/question/17932786

#SPJ8

Answer:

228750

Step-by-step explanation:

283×610=172630

10×610=6100

82×610=50020

Answer:

3/4

Step-by-step explanation:

4/5 divided by 16/15 = 4/5 x 15/16

Simplfied = 1 x 3 / 1 x 4

Simplified = 3/4

Thus, our answer is 3/4

Answer:

Present age of A = 16 years

Present age of B = 12 years

Step-by-step explanation:

Let the age of B be x years.

Therefore, age of A = (x + 4) years

Four years ago:

Age of A = (x + 4 - 4) = x years

Age of B = (x - 4) years

According to the given information:

\( \frac{x}{x - 4} = \frac{3}{2} \\ \\ 2x = 3(x - 4) \\ \\ 2x = 3x - 12 \\ \\ 2x - 3x = - 12 \\ \\ - x = - 12 \\ \\ x = 12 \\ \\ x + 4 = 12 + 4 = 16 \\ \\ present \: age \: of \: a = 16 \: yeras \\ \\ present \: age \: of \: b = 12 \: years \\ \)

The rules about opositive and negative numbers include

It should be noted that two like signs become a positive sign. For example, (-2) × (-4) will be:

= (-2) × (-4).

= +8

Two unlike signs become a negative sign. This will be:

(-2) × (+4)

= -8

Learn more about numbers on:

https://brainly.com/question/148825

#SPJ1

According to the given data the value is 22.

Addition is a basic mathematical operation that involves combining two or more numbers to get a total or sum. It is typically denoted by the symbol "+" and can be performed on a variety of numerical values, including whole numbers, decimals, fractions, and even negative numbers.

The value of the addition for 2+4+8+8=22

To know more about addition visit:

https://brainly.com/question/29560851

#SPJ1

We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

Learn more about the surface area of revolutions here:

https://brainly.com/question/32268747

#SPJ1

Answer:

The commission rate is 15%

Step-by-step explanation:

commission = commission rate x sales

where the commission rate is expressed as a decimal.

In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:

345 = commission rate x 2300

To solve for the commission rate, we can divide both sides by 2300:

commission rate = 345/2300

Simplifying this expression, we get:

commission rate = 0.15

So, the commission rate is 15%

Answer:

Step-by-step explanation:

519 I believe

Answer:

We can solve this problem using the formula for the future value of an annuity:

FV = P * ((1 + r)^n - 1) / r

where FV is the future value, P is the periodic payment, r is the interest rate per period, and n is the number of periods.

In this case, we have P = $5,000, r = 0.07 (since the interest is compounded annually), and n = 30 (since the deposits are made annually for 30 years).

Plugging in these values, we get:

FV = $5,000 * ((1 + 0.07)^30 - 1) / 0.07

FV = $5,000 * 111.131

FV = $555,655.00

Therefore, you will have approximately $555,655.00 in the account after 30 years.

Answer:

x equals 8 due to 8^2 being 8x8=64

Step-by-step explanation:

Answer:

1. 15cm,

2. 22.5ft

3. 24in

4. 24.2m

5. 8.9m

Step-by-step explanation:

1. √(9²+12²) = 15cm

2. √(8²+21²) = 22.47 ft = 22.5ft

3. 7²+x²=25²

x =√(25²-7²) = 24 in

4. √(15²+19²) =24.2 m

5. √(4²+8²) = 8.9m

all the answers related to the pythogorus theorem.

a²+b²=c²

in which a and b are the legs of the right angled triangle where c is the hypotenuse.

note: be careful abt the units.

Answer:

Here are the angles in each quadrant with a common reference angle of 165°:

First quadrant: angle is 15° (subtract 165° from 180°)

Second quadrant: angle is 195° (subtract 165° from 180° and add the result to 180°)

Third quadrant: angle is 195° (subtract 165° from 180° and then subtract the result from 180°)

Fourth quadrant: angle is 195° (subtract 165° from 360°)

The quadratic equation so formed will be \(x^{2}\) - 2x - 15 = 0.

What is a quadratic equation?

Any algebraic equation that can be expressed in standard form as where x represents an unknown value and where a, b, and c represent known values, where a 0 is a quadratic equation.

We know that the standard form of a quadratic equation is represented as: a\(x^{2}\) + bx + c = 0.

Here, we are given a = 4, b = -8 and c = -60.

On substituting these values, we get

⇒ a\(x^{2}\) + bx + c = 0

⇒ 4\(x^{2}\) - 8x - 60 = 0

On dividing both sides by 4, we get

⇒ \(x^{2}\) - 2x - 15 = 0

Hence, the quadratic equation so formed will be \(x^{2}\) - 2x - 15 = 0.

Learn more about quadratic equation from the given link

https://brainly.com/question/1214333

#SPJ1

Answer:

-2(8)=16

Step-by-step explanation:

-2(8) is equal to -2 times 8/ -2 x 8

So 2 times 8 is 16, but since it's negative 2 it takes the negative sing

The fraction in form of sum or difference will be;

⇒ 11/6x + 5/6

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The fraction is,

⇒ (11x + 5) / 6

Now,

Since, The fraction is,

⇒ (11x + 5) / 6

It can be written as;

⇒ (11x + 5) / 6

⇒ 11x/6 + 5/6

Thus, The fraction is written as;

⇒ 11/6x + 5/6

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ1

The bearing of the plane to the nearest degree is 357°, which is answer choice (c).

What is vector addition?

Vector addition is the operation of adding two or more vectors together into a vector sum. The so-called parallelogram law gives the rule for the vector addition of two or more vectors. For two vectors, the vector sum is obtained by placing them head to tail and drawing the vector from the free tail to the free head.

To find the bearing of the plane, we need to determine the direction in which it is traveling with respect to the true north. To do this, we need to use vector addition to combine the velocity of the plane with the velocity of the wind.

Let's break down the velocity vectors into their north-south and east-west components, using positive directions to the north and east.

The airspeed of the plane is 213 mph due south, so its velocity vector can be written as:

Vp = (0, -213)

The wind velocity is 16 mph at a direction of 52.0°. We can find its components using trigonometry:

Vw,x = 16 cos(52.0°) = 10.91 mph to the east

Vw,y = 16 sin(52.0°) = 12.18 mph to the south

So the wind velocity vector is:

Vw = (10.91, -12.18)

To find the total velocity vector of the plane relative to the ground, we can add the velocity vectors of the plane and the wind:

Vtot = Vp + Vw

Vtot = (0 + 10.91, -213 - 12.18)

Vtot = (10.91, -225.18)

The direction of the total velocity vector, measured from true north, can be found using the arctangent function:

θ = arctan(Vtot,x / Vtot,y)

θ = arctan(10.91 / -225.18)

θ ≈ -2.8°

Since the result is negative, this means the direction is to the left of true north. We can convert this to a bearing by adding 360° to get the positive equivalent:

θ = 360° + θ

θ ≈ 357.2°

Therefore, the bearing of the plane to the nearest degree is 357°, which is answer choice (c).

To learn more about vector addition visit:

https://brainly.com/question/2927458

#SPJ1

the 50% concentration of the final solution is a result of mixing the 95% concentration with water, which is 0% concentration.

Multiply the concentration of each liquid times the # of ml you will use, add these and divide by the total ml to get 50%

X = the number of ml of the 95% alcohol mixture

Y = the number of ml of water

X + Y = 855

{.95·X + (0)(Y } / 855 = .50

Again, the 0 above represents the water which is 0% concentration

.95X / 855 = .50

.95X = 427.50

X = 450

plug 450 into the equation X + Y =855

450 + Y =855

Y = 405

Use 450 ml of the 95% solution and 405 ml of water

Answer:

Mei is correct because -9 is to the left of -3 on the number line.

Step-by-step explanation:

This is because -9 is LESS than -3, when you add or subtract using negative numbers, such as 7-9, you get -2. However when you subtract 7-13, you get -6. Because you subtracted a greater number from 7, your answer is -6 is LESS than -2. This is the same with inequalities, greater negative numbers will always be smaller and smaller negative numbers will always be greater.

Hope this helps!

We can conclude that the hypotheses of the Existence and Uniqueness Theorem are satisfied in any rectangular region in the ty-plane that does not contain the curve t² + y² = -1.

The Existence and Uniqueness Theorem for first-order ordinary differential equations states that if a differential equation of the form y' = f(t, y) satisfies the following conditions in some rectangular region in the ty-plane:

1. f(t, y) is continuous in the region.

2. f(t, y) satisfies a Lipschitz condition in y in the region, i.e., there exists a constant L > 0 such that |f(t, y₁) - f(t, y₂)| ≤ L|y₁ - y₂| for all t and y₁, y₂ in the region.

then there exists a unique solution to the differential equation that passes through any point in the region.

In the case of the differential equation y' = (y cot(2t)) / (t² + y² + 1), we have:

f(t, y) = (y cot(2t)) / (t² + y² + 1)

This function is continuous everywhere except at the points where t² + y² + 1 = 0, which is the curve t² + y² = -1 in the ty-plane. Since this curve is not included in any rectangular region, we can say that f(t, y) is continuous in any rectangular region in the ty-plane.

To check if f(t, y) satisfies a Lipschitz condition in y, we can take the partial derivative of f with respect to y and check if it is bounded in any rectangular region. We have:

∂f/∂y = cot(2t) / (t² + y² + 1) - (2y² cot(2t)) / (t² + y² + 1)²

Taking the absolute value and simplifying, we get:

|∂f/∂y| = |cot(2t) / (t² + y² + 1) - (2y² cot(2t)) / (t² + y² + 1)²|

= |cot(2t) / (t² + y² + 1)| * |1 - (2y² / (t² + y² + 1)))|

Since 0 ≤ (2y² / (t² + y² + 1)) ≤ 1 for all t and y, we have:

1/2 ≤ |1 - (2y² / (t² + y² + 1)))| ≤ 1

Also, cot(2t) is bounded in any rectangular region that does not contain the points where cot(2t) is undefined (i.e., where t = (k + 1/2)π for some integer k). Therefore, we can find a constant L > 0 such that |∂f/∂y| ≤ L for all t and y in any rectangular region that does not contain the curve t² + y² = -1.

Learn more on  differential equation here;

https://brainly.com/question/1164377

#SPJ1

Answer:

yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

To find out if the inequality 10p - 8 ≤ 12 is true if p is 0, replace p with 0.

10(0) - 8 ≤ 12

0 - 8 ≤ 12

-8 ≤ 12

-8 is less than 12 so Yes, p as 0 works.

(Ex: In fact, the largest value where this is true is 2. All negative numbers work with this inequality.)

Answer:

Step-by-step explanation:

It is equivalent

4/12

1/3

1x4=4

         _

3x4=12

Diane plans to arrive at 7:30 A.M.

Time is a notion that is used to quantify the length and progression of occurrences. It is a key aspect of how things work and can be expressed in terms of hours, minutes, seconds, and other time intervals. Time helps us schedule, coordinate, and comprehend the sequence of events in our daily lives. It also enables us to arrange and synchronize activities.

If we take the assumed intended arrival time of 8:00 A.M. and deduct Diane's anticipated arrival time of 30 minutes, we get the intended arrival time.

Therefore, Diane plans to arrive at 7:30 A.M.

Learn more about time here :brainly.com/question/24662469

#SPJ1

Answer:One fourth

Step-by-step explanation:

In Experiment 1 the probability of each outcome is always the same. The probability of landing on each color of the spinner is always one fourth.

Answer:

Step-by-step explanation:

Answer:

-------------------------------

Here is one:                                                         PEMDAS

12- ( 6 + 3) - 19 x 1 divided by 1

I hope this helps