Graph the parabola y=(x+5)^2-2

The equation represents the image of the line y = 3x +1 is y' = 3(x - 3) +1.

Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.

For example, this transformation moves the parallelogram to the right 5 units and up 3 units. It is written ( x , y ) → ( x + 5 , y + 3 ) .

Given:

The transformation that translates function y = f(x) by h units right and k units up is

y' = f(x -h) +k

We have y= 3x+ 1

So, After translating 3 units to x axis the function will become

y' = 3(x - 3) +1

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Answer:

A is the answer! I think you know because the formula is given at the top.

Answer:

-8

Step-by-step explanation:

Triangle OMG is a right angled triangle

Triangle is a shape with 3 sides and 3 angles

To determine whether the triangle is acute, right, or  obtuse, from the coordinate point, we can see that the x and y coordinate of one of the vertices are the same, this is an indication that the triangle is right triangle.

In conclusion, triangle OMG is a right angled triangle

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Answer:

Step-by-step explanation:

Fill in the missing values as below

The first row

The second row

The third row

Three ways to label a base (b) and corresponding height (h) are:

1. Base as the bottom side, height as a perpendicular line segment.

2. Base as a side, height as a perpendicular line segment.

3. Base as the hypotenuse, height as a perpendicular line segment.

To label a base (b) and corresponding height (h), three possible ways can be demonstrated using the triangles below:

1. Triangle 1:

  - Base (b) is labeled as the bottom side of the triangle.

  - Height (h) is labeled as a vertical line segment perpendicular to the base, connecting the opposite vertex to the base.

2. Triangle 2:

  - Base (b) is labeled as the side of the triangle.

  - Height (h) is labeled as a vertical line segment perpendicular to the base, connecting the opposite vertex to the base.

3. Triangle 3:

  - Base (b) is labeled as the hypotenuse (the longest side) of the triangle.

  - Height (h) is labeled as a vertical line segment drawn from one of the vertices of the base, perpendicular to the base.

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Answer:

I got you

Step-by-step explanation:

6.05-12.50=13.55

48 divided by 13.55=3.542

x=3.542

Answer:

X= 1

Step-by-step explanation:

6.05x-12.5=48 Add 12.5 to both side

         +12.5 +12.5

6.05x = 60.5 now divide both sides by 6.05

/ 6.05    /60.5

X     =  1

Answer:

7*(5)^0,5

:D hope it helps

Solving provided question, we can say that  equation of slope intercept will be => y - 30 = mx - 3m

In mathematics, the intersection point is the place on the y-axis where the slope of the line crosses. a place where the y-axis crosses on a line or curve. Y = mx+c, where m stands for the slope and c for the y-intercept, is used as the equation for the straight line to show this. The slope (m) of the line and its y-intercept (b) are emphasised in the equation's intercept form. When an equation has the intercept form (y=mx+b), the slope is m and the y-intercept is b. Some equations can also be rewritten such that they seem to be slope intercepts. If y=x is rewritten as y=1x+0, for instance, the slope and y-intercept are both changed to 1.

from the provided graph,

the coordinates are (3,30)

equation of slope intercept will be

y - 30 = m(x - 3)

y - 30 = mx - 3m

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If the random number is less than the winning probability of 0.0028, the player wins $20 and we add that to the amount variable.

Otherwise, the player loses $1 and we subtract that from the amount variable.

To simulate this scenario in Python.

Here's a possible implementation:

import random

# Set the seed number

random.seed(77)

# Initialize the starting amount and the number of bets

amount = 18

num_bets = 0

# Loop until the player runs out of money

while amount >= 1:

   # Increment the number of bets

   num_bets += 1

   # Check if the player wins

   if random.random() < 0.0028:

       amount += 20 - 1  # The net earnings are $10

          # Otherwise, the player loses $1

   else:

       amount -= 1

# Report the total number of bets

print(f"Total number of bets: {num_bets}")

In this implementation, we use the random module in Python to simulate the outcome of each bet.

We set the seed number to 77 to ensure that the results are reproducible.

We initialize the starting amount to $18 and the number of bets to 0. We then loop until the player runs out of money (i.e., the amount variable is less than $1).

Inside the loop, we increment the number of bets by 1 and simulate the outcome of the bet using random.

random() which returns a random float between 0 and 1.

If the random number is less than the winning probability of 0.0028, the player wins $20 and we add that to the amount variable.

Otherwise, the player loses $1 and we subtract that from the amount variable.

After the loop ends, we print the total number of bets.

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Answer:

16 times

Step-by-step explanation:

This problem is solved by ratio. Since the ratio of 28 out of 25 times is 4:5, he has to catch the ball 4:5 or 4 of 5 times. You multiply both 5 and 4 by 4, because that's how many times he's gonna catch it. 4 x 4 = 16, so the answer is 16 times.

Answer:

(4/5)^20

Step-by-step explanation:

1) First, write the numbers of times Raymond caught the football out of 35 attempts. This is a necessary step in order to obtain an appropriate operand.

28

35

2) Reduce the fraction to lowest terms. This is an optional step but it simplifies the problem.

28   /  4

35      4

= 4

  5

3) Raise the fraction to the 20th power. If the ball is thrown at him 20 times, the probability of him successfully catching the ball must be (4/5)^20.

= (4)^2

  (5)

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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1

Step-by-step explanation:

it will give u the correct number of it

Answer:

3) \(\sqrt{2}\)·\(\sqrt{8}\)

Step-by-step explanation:

\(\sqrt{2}\)·\(\sqrt{8}\)= \(\sqrt{16}\)=4 (rational number)

Answer:

Three times two is 6

Step-by-step explanation:

Answer:

We use students' t distribution therefore degrees of freedom is v= n-2

Step-by-step explanation:

Confidence Interval Estimate of Population Regression Co efficient β.

To construct the confidence interval for β, the population regression co efficient , we use b, the sample estimate of β. The sampling distribution of b is normally distributed with mean β and a standard deviation σ.y.x / √(x-x`)². That is the variable z = b - β/σ.y.x / √(x-x`)² is a standard normal variable. But σ.y.x  is not known so we use S.y.x and also student's t distribution rather than normal distribution.

t= b - β/S.y.x / √(x-x`)² = b - β/Sb    [Sb = S.y.x / √(x-x`)²]

with v= n-2 degrees of freedom.

Consequently

P [ - t α/2<  b - β/Sb  < t α/2] = 1- α

or

P [ b- t α/2 Sb<   β  < b+ t α/2 Sb] = 1- α

Hence a 100( 1-α) percent confidence for β the population regression coefficient for a particular sample size n <30  is given by

b± t α/2 Sb

Using the same statistic a confidence interval for α can be constructed in the same way for  β  replacing  a with b and Sa with Sb.

a± t α/2 Sa

Using the t statistic  we may construct the confidence interval for U.y.x for the given value X0 in the same manner

Y~0 ± t α/2(n-2) SY~

Y~0= a+b X0

Answer:

x = 47

Step-by-step explanation:

x + 121 = 4x - 20

-3x + 121 = - 20

-3x = -141

x = 47

So, the answer is x = 47

Here is the attached image for the answer. If you write it in in slope-intercept form, y=mx+b. You will get the answer below in the attached image.

The quotient of 45 and a number:

Let the number be z,

Answer: second option

To prove that the triangles are congruent by ASA, the statement and reason could be used as part of the proof is option (A) ∠FGH ≅ ∠KGJ because vertical angles are congruent.

Here we have two triangle FHG and KJG,

The sides HF and the side JK are parallel

The length of the side of the HG and the length of the side JG are equal

HG ≅ JG

According to the ASA property of congruent, if the two angle and one side of the triangle are equal to the two angle and one side of the other triangle, then the both triangles are congruent

Here we have to prove that angle FHG and angle KJG are vertical angles

Here the vertical angles are congruent

Therefore, the statement that can be the part of proof is option (a) angle FGH ≅ angle KGJ because vertical angles are congruent.

I have solved the question in general, as the given question is incomplete

The complete question is:

Given: HF || JK; HG ≅ JG

Prove: FHG ≅ KJG

To prove that the triangles are congruent by ASA, which statement and reason could be used as part of the proof?

a) FGH ≅ KGJ because vertical angles are congruent.

b) JKG ≅ HFG because vertical angles are congruent.

c) FHG ≅ JKG because right angles are congruent.

d) HFG ≅ KJG because alternate interior angles are congruent.

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Answer:

tell us the rest of the questionnnnnnn

Step-by-step explanation:

The approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.

To solve the equation 1/x-1 = |x-2| using three iterations of successive approximation, we will start with an initial guess and refine it using an iterative process.

Given that the equation involves absolute value, we will consider two cases:

Case 1: x - 2 ≥ 0

In this case, |x-2| simplifies to x-2, and the equation becomes 1/(x-1) = x-2.

Case 2: x - 2 < 0

In this case, |x-2| simplifies to -(x-2), and the equation becomes 1/(x-1) = -(x-2).

Now, let's perform the successive approximation:

Iteration 1:

Let's start with an initial guess, x = 2.

Case 1: When x - 2 ≥ 0,

1/(2-1) = 2-2,

1/1 = 0,

which is not true.

Case 2: When x - 2 < 0,

1/(2-1) = -(2-2),

1/1 = 0,

which is not true.

Since our initial guess did not satisfy the equation in either case, we need to choose a different initial guess.

Iteration 2:

Let's try x = 3.

Case 1: When x - 2 ≥ 0,

1/(3-1) = 3-2,

1/2 = 1,

which is not true.

Case 2: When x - 2 < 0,

1/(3-1) = -(3-2),

1/2 = -1,

which is not true.

Again, our guess did not satisfy the equation in either case.

Iteration 3:

Let's try x = 2.5.

Case 1: When x - 2 ≥ 0,

1/(2.5-1) = 2.5-2,

1/1.5 = 0.5,

which is true.

Case 2: When x - 2 < 0,

1/(2.5-1) = -(2.5-2),

1/1.5 = -0.5,

which is not true.

Our guess of x = 2.5 satisfies the equation in Case 1.

Therefore, the approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.

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Answer:

$16.5

Step-by-step explanation:

25 % of 22 is 5.5

22 - 5.5 = 16.5

The sale price of the DVD in this week on sale for 25% off on the original price is $16.5.

Given that  the original price of a DVD  is $22, that means the cost of the DVD is $22.

This week the sale on the original  price of  a DVD. The sale is that 25% off on the original price of a DVD, that is 25% off on $22.

Here, calculate the discount on the original price of a DVD.

\(Discount=22\times25 \%\\Discount=22\times\frac{25}{100}\\Discount=\frac{22}{4} \\Discount=\$5.5\)

The discount is $5.5  on the original  price of  a DVD.

Therefore, the sale price of a DVD on this week after the discount:

\(Sale\ price= \$22-$5.5\\Sale\ price=\$16.5\)

Thus, the sale price of a DVD is $16.5.

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Using the height and radius given, the surface area of the cylinder is 408.2m²

The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

where:

In the given question, the data are;

Substituting the value into the formula

A = 2π(5 * 8) + 2π(5)²

A = 408.2m²

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expand 3 1/4

(12+1)/4

addition

13/4

expand 1/2

2/4

(13-2)/4=

11/4=

2 3/4

The ratio of the given 240 kg to 6 kg will be 40:1.

What is Ratio?

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings. Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent."

the ratio 240 kg to 6 kg.

It will be simple 240/6 :: 40 :1

Hence the ratio of the given data will be 40:1

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Answer:  the correct answer is D

Step-by-step explanation:

Answer:

The standard deviation of the sample mean is  \(\sigma _ {\= x } = 2.711\)

Step-by-step explanation:

From the question we are told that

   The mean is  \(\= x = 60\)

    The standard deviation is  \(\sigma = 21\)

     The sample size is \(n = 60\)

Generally the standard deviation of the sample mean is mathematically represented as  

               \(\sigma _ {\= x } = \frac{\sigma }{\sqrt{n} }\)

substituting values

               \(\sigma _ {\= x } = \frac{ 21 }{\sqrt{60} }\)

               \(\sigma _ {\= x } = 2.711\)

26950 is  the total amount he received at the end of seven years.

What is your interest in simple words?

Interest is the price you pay to borrow money or the cost of borrowing money. Interest is usually given as an annual percentage of the loan amount. This percentage is called the interest rate on the loan.  

given,

pv= 14100

r1-4= 8%

n = 7

r5-7= 12%

A) interest  = FV - PV

                 = PV * ( 1 + r )ⁿ - pv

                  = 14100 * ( 1 + 0.08)⁴ * ( 1 + 0.12)³ - 14100

                   = 26,950.59 - 14100

                     = $12850.59

b)   fv= pv * (1 + r)ⁿ

          = 14100 * ( 1 + 0.08)⁴ * ( 1 +0.12 )³

          = 26950

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Answer:

A

Step-by-step explanation:

Unit Test on a Edge today. ; )

Answer:

its A

Step-by-step explanation:

i got a 100  on my quiz

Answer:

3cx - 2c + 21x - 14

Step-by-step explanation:

( c + 7 ) ( 3x - 2 )

= c ( 3x - 2 ) + 7 ( 3x - 2 )

= c ( 3x ) - c ( 2 ) + 7 ( 3x ) - 7 ( 2 )

= 3cx - 2c + 21x - 14

Answer:

3cx-2c+21x-14

Step-by-step explanation:

try to expand it by multiplying everything in the first brackets by every thing in the second brackets.

c(3x-2)+7(3x-2)

3cx-2c+21x-14

I hope this helps