Solve the quadratic equation.

3x^2-12=16x

Answer:

y=2x-6

Step-by-step explanation:

y+4=-2(x-1)

Since the slope intercept form is in the form of:

y=mx+c

Making above equation in this form.

y+4=-2(x-1)

opening bracket

y+4=2x-2

subtracting both side by 4.

y+4-4=2x-2-4

y=2x-6

This equation is the slope intercept form.

Using the rate function given and the subtraction operation, the increase in the population is 8

The rate of increase per year :

Increment in the third year :

500 + 4(3)

500 + 12 = 512

Increment in 5th year :

500 + 4(5)

500 + 20 = 520

Change in size between 5th and 3rd year :

Hence, population increased by 8 cattle.

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The vertices of ∆ABC are A (-2,5), B(-2,4), and C(-5, 3). If ∆ABC is reflected across the line y=-2 to produce the image ∆A’B’C, find the coordinates of the vertex A’ if ∆ABC is reflected across the line x= -2.

Given in the question,

a.) △LMN

b.) ∠L is triple ∠M

c.) ∠N is double ∠M

From the given relationship, let's put them into an expression:

∠L is triple ∠M:

∠N is double ∠M:

Let's recall that the sum of all interior angles of a triangle is 180°. Thus, in expression, we get:

Substituting the equivalent ratio of ∠L and∠N with respect to ∠M, we get:

Therefore, the answer is letter A.

Answer:

The relationship between the number of faces, vertices, and edges of a three-dimensional object is described by Euler's formula, which states that for any polyhedron (a solid object bounded by flat faces), the number of faces (F), vertices (V), and edges (E) satisfy the equation F + V - E = 2. This formula is true for any convex polyhedron, such as a cube or a regular tetrahedron.

The formula is based on the fact that every face of a polyhedron is bounded by a closed loop of edges, and each vertex is where three or more edges meet. The total number of edges is the sum of the number of edges around each face, which is equal to twice the number of faces since each edge is shared by two faces, and the number of edges meeting at each vertex, which is equal to the degree of the vertex (the number of edges meeting at the vertex).

Therefore, by knowing the number of faces, vertices, and edges of a three-dimensional object, we can determine if it is a convex polyhedron and use Euler's formula to check if the numbers are consistent with a solid shape.

The value of the ratio based on the angle illustrated is 1:12.

From the information given, it should be noted that the angle in a circle is 360°. Therefore, the value of theta will be:

= 360° - 330°

= 30°

The equivalent expression based on the angle will be:

= 30/360

= 1/12

= 1:12

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He is correct.The probability of winning with the die is while the probability of winning with the spinner is which is 0.375, slightly bigger than rolling the die!

Answer:

Step-by-step explanation:

By 12 the ansewr is 1000%

Answer:

8759

Step-by-step explanation:

The interest earned on an amount P deposited at an interest rate r for t years is given by the formula:

I = Prt

We can use this formula to calculate the total interest earned by Krishna in the first 5 years:

I1 = 600000.085 = 24000

After withdrawing Rs. 40000, Krishna has Rs. 20000 left in the account. Let's call the number of years he needs to keep this amount in the account to earn an additional interest of Rs. 28800 "t2". The interest earned on this amount is:

I2 = 200000.08t2

The total interest earned over the entire period is the sum of I1 and I2:

I1 + I2 = 24000 + 200000.08t2 = 24000 + 1600*t2

We want this total interest to be Rs. 28800, so we can set up the equation:

24000 + 1600*t2 = 28800

Solving for t2, we get:

1600*t2 = 4800

t2 = 3

Therefore, Krishna needs to keep the remaining Rs. 20000 in the account for an additional 3 years to earn a total interest of Rs. 28800 from the beginning.

ANSWER:

The value of x 4

STEP-BY-STEP EXPLANATION:

We have the following equation

Solving for x:

It has been proven that the lines BC and EF have reciprocal slopes since they are perpendicular to each other

Reciprocal slopes tell us that two lines are perpendicular to each other.

The formula to find the slope between two coordinates of a line is expressed as:

Slope = (y₂ - y₁)/(x₂ - x₁)

Coordinates of BC are: B(4, 5) and C(1, 2)

Coordinates of EF are: E(6, -4) and F(2, -1)

Slope of BC = (2 - 5)/(1 - 4) = -1

Slope of EF = (-1 + 4)/(2 - 6) = 1

Since the slopes are -1/m of the other slope, then they are reciprocals

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Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

f(x) approaches positive infinity as x approaches negative infinity; f(x) approaches positive infinity as x approaches positive infinity

Step-by-step explanation:

We have q(x)=3x^4+8x^3-13x^2-22x+24

The leading term of this polynomial is 3x^4 (it has the highest degree) where the degree is 4 [it is even] and the leading coefficient is 3 [it is positive]

Therefore the end  behavior of the polynomial is f(x) --> ∞ as x ----> - ∞ and f(x) ----->  ∞ as x --->  ∞

Answer: $30

Step-by-step explanation:

if the original price for the swimsuit is $35 and is reduced $5 each week for 6 weeks, it is now $5. It is reduced by $30 during this time.

Answer:

-11/20 or -0.55

Step-by-step explanation:

1/5 = 4/20

3/4 = 15/20

4/20 - 15/20 = -11/20

Answer:

- 11/20

or

-0.55

Step-by-step explanation:

PLZ MRAK ME BRAINLIEST

Answer:

7

Step-by-step explanation:

Answer:

2i^2+18i+7

Step-by-step explanation:

(5i^2+8i+10)-(3i^2-10i+3)

5i^2+8i+10-3i^2+10i-3

2i^2+18i+7

The points on the scatter plot show the different predictions. The straight line drawn is called the line of regression.

Errors in prediction for each point can be determined by drawing a vertical line from the point to the line of regression. As seen in the image, all of the prediction points are found on the line except for points (14,25) and (16,25). Therefore, these points contain errors in prediction.

The graph that represent this data using the points is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The x and y values

Where

x = stars

y = price

To determine the graph that represent the data, we enter the x and y values in a graphing tool to create the graph

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Answer:

\(\displaystyle a = \frac{8}{5}\).

Step-by-step explanation:

Two vectors \((x_1,\, y_1)\) and \((x_2,\, y_2)\) are parallel to one another if and only if the ratio between their corresponding components are equal:

\(\displaystyle \frac{x_1}{x_2} = \frac{y_1}{y_2}\).

Equivalently:

\(\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}\).

For the two vectors in this equation to be parallel to one another:

\(\displaystyle \frac{a}{4} = \frac{2}{5}\).

Solve for \(a\):

\(\displaystyle a = \frac{8}{5}\).

\(\displaystyle \frac{8}{5}\) would be the only valid value of \(a\); no other value would satisfy the \(\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}\) equation.

Put y = 3 into the expression:

It becomes,

Hence, the answer is 14

Answer:

Step-by-step explanation:

A polynomial is a  perfect square if has the form:

\(a^2+2ab+b^2\)

Its factored form is  \((a+b)^2\).

We can obtain examples by taking any value of a and b.

For example:

\(a=x\)  anb  \(b=2y\).  

Thus we obtain a polynomial that is a perfect square:

\(x^2+2(x)(2y)+(2y)^2=x^2+4xy+4y^2\)

35 is a reasonable prediction of the number of times he will select 2 yellow socks?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

In probability theory, an event is a set of outcomes or a subset of a sample space. In simpler terms, an event is anything that can happen, or any possible outcome of an experiment or observation. An event can be a single outcome, or it can consist of multiple outcomes.

In the given question,

The theoretical probability of drawing two yellow socks with replacement from a bag containing equal numbers of red, yellow, green, blue, and purple socks is:

P(drawing two yellow socks) = P(yellow) * P(yellow) = (1/5) * (1/5) = 1/25

So, the probability of drawing two yellow socks from the bag in any given trial is 1/25.

To predict the number of times the child will select two yellow socks in 175 trials, we can use the formula for the expected value of a discrete random variable:

E(X) = n * p

where E(X) is the expected number of times the event occurs, n is the number of trials, and p is the probability of the event occurring in a single trial.

In this case, n = 175 and p = 1/25. So,

E(X) = 175 * (1/25) = 7

Therefore, a reasonable prediction of the number of times the child will select two yellow socks in 175 trials is 7. Since this prediction is not one of the answer choices, the closest option is 35, which is more than five times the expected value. However, this is within the range of possible outcomes due to the random nature of the experiment.

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Answer: andres is 5 years old pls banned him he called e a mean word like the N word

Step-by-step explanation:

The value of x and y are 3/2 and 13/2 respectively

From the information given, we have that the simultaneous equation is expressed as;

5x-4y=19

X+2y=8

Make 'x' the subject of formula from equation 2, we have that;

x = 8 - 2y

Substitute the values into equation 1, we have;

5(8 - 2y) - 4y = 19

expand the bracket, we have;

40 - 10y - 4y = 19

collect the like terms, we have;

-14y = -21

Make y subject

y = 3/2

Substitute the values

x = 8 - 3/2

x = 16 - 3/2 = 13/2

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Answer:

C

Step-by-step explanation:

Step-by-step explanation:

from the first line s

y - 7 = 9/10 × (x - 4)

we only need the slope, which is 9/10.

the -7 did not disturb this. only if y had a factor different to 1, we would have to re-simplify the equation to get the slope.

remember, a slope expresses the ratio (y change / x change).

a perpendicular slope note turns the y/x ratio upside-down and flips the sign.

so, 9/10 turns into -10/9, which is the slope of the new line t.

we can use the point-slope form to incorporate the given point and get the y-intercept for the final slope-intercept equation :

y - 6 = -10/9 × (x - -6) = -10/9 × (x + 6) =

= -10/9 × x - 60/9 = -10/9 × x - 20/3

y = -10/9 × x - 20/3 + 6 = -10/9 × x - 20/3 + 18/3 =

= -10/9 × x - 2/3

the line t is

y = -10/9 × x - 2/3

The profit function is P(x) = -500.523x^2 + 600x - 200.

To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).

Given:

Cost function: C(a) = 500x^2 + 300

Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300

Profit function, P(x), is obtained by subtracting the cost function from the revenue function:

P(x) = R(x) - C(a)

P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)

Simplifying the expression:

P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300

P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300

P(x) = -500x^2 - 0.523x^2 + 600x - 200

Combining like terms:

P(x) = (-500 - 0.523)x^2 + 600x - 200

Simplifying further:

P(x) = -500.523x^2 + 600x - 200

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