PLZ answer this soon!!!!

The graph of the translated function is g ( x ) = ( x + 5 )² + 2

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x²

On simplifying , we get

The function is translated 5 units to the horizontal left direction:

And , when the function is translated 2 units in the vertical upward direction:

So , the translated function is

g ( x ) = ( x + 5 )² + 2

Now , the vertex of the function g ( x ) = ( x + 5 )² + 2 is (-5, 2)

Hence , the graph of the function is plotted and g ( x ) = ( x + 5 )² + 2

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Answer:

-36

-3y

Step-by-step explanation:

F

Answer:

(4,-7)

Step-by-step explanation:

y=4x-9

y+3=x

y=4(y+3)-9

y=4y+12+9

y=4y+21

y-4y=21

-3y=21

y=-7

Now use y to find x

y+3=x

-7+3=4

x=4

Answer:

total of 46.6 dollars

Step-by-step explanation:

8.60x1= 8.60

5x7.80= 39

Answer:

t ≤ -3

Step-by-step explanation:

4t + 5 ≤ -7

4t ≤ -12

t ≤ -3

9514 1404 393

Answer:

  sum = ∑[n=1,5] 4^(n-4)

Step-by-step explanation:

First of all, you need to be able to describe the n-th term.

Here, we  have ...

  term #: 1, 2, 3, 4, 5

  value: 4^-3, 4^-2, 4^-1, 4^0, 4^1

That is, the exponent of 4 is 4 less than the term number. So, the n-th term is 4^(n-4). The sum of the 5 terms shown is then ...

  \(\displaystyle sum=\sum_{n=1}^5{4^{n-4}}\)

it's D (2,-1) :) ahshajakak

Answer:

Let x = son's age

Let 38-x = Mr. Bellini's age (since the sum of their ages must be equal to 38)

Set up the equation using the second statement:

(38 - x) - 4 = 5(x - 4)

Solving,

34 - x = 5x - 20

34 + 20 = 6x

54 = 6x

x = 9 years old (son's age)

38-x = 29 years old (Bellini's age)

The solutions of the absolute value equation is determined as 15 and - 5.

The solution to the absolute equation is determined as follows;

|x - 5| + 7 = 17

collect similar terms

|x - 5|  = 17 - 7

|x - 5|  = 10

to resolve the absolute values, form two equations as follows;

x - 5 = 10 and x - 5 = -10

x = 15 and x = -5

Thus, the solutions of the absolute value equation is determined as 15 and - 5.

The complete question is given as;

|x - 5| + 7 = 17

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Answer:

Hey there!

It's easier to graph a function in slope intercept form:

y+6=-3(x+5)

y+6=-3x-15

y=-3x-21

So, the slope is -3, and the y intercept is -21.

I'll attach a graph of the function down below

Let me know if this helps :)

Answer:

A 100.48 inches

Step-by-step explanation:

the aceleration is calculated as:

The formula for the equation of y, the number of units sold as a function of x is y = 0.00625x + 250

From the information given, when the company spends no money on advertising, it sells 250 units and for each additional $4000 spent, an additional 25 units are sold.

The formula for y will be:

y = (25/4000)x + 250

y = 0.00625x + 250

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Answer:

No

Step-by-step explanation:

Quadratic functions with minimums, by default, have a domain of all real numbers (x∈R), this means any quadratic will lie in ≥ 2 quadrants (the positive left and right quadrant);

The only remaining question is it if lies in only these 2, a third as well or all 4 quadrants;

If the quadratic has no distinct solutions, this means it does not cross the x-axis, which means it is only above the x-axis and it will only therefore lie in the upper left and right quadrant;

If the quadratic has one solution, it would touch the x-axis but would not cross and enter either of the two quadrants below, therefore such a quadratic would only lie in the upper 2 quadrants;

If the quadratic has 2 distinct solutions, the graph must cross the x-axis falling into one or both of the quadrants below the x-axis;

Ultimately, the quadratic could have x-intercepts both to left of the y-axis, or both to the right or one to the left and one to the right;

In the case of both to one side, the portion of the function that lies under the x-axis will be in one of the lower quadrants, meaning the function will lie in 3 quadrants in total;

In the case of an x-intercept to the left and one to the right, then the portion of the function will lie in both negative quadrants under the y-axis, in which case the functions will occupy all 4 quadrants

So, the answer is no;

A quadratic function that has 2 distinct solutions will lie in either 3 or 4 quadrants, such a function cannot lie in only 2 quadratics.

Answer:

Step-by-step explanation:

A quadratic function has a graph with one vertex.

This is a maximum or minimum value of the function.

Since the vertex is one point, it can only have a single unique pair of coordinates.

Example:

Answer

C. x=2

Step-by-step explanation:

This is due to 2(2) = 4

then 3^4=81

81*4=324

The solution to equation \(324=4(3)^{2x}\) is x = 2.

An exponential function is a mathematical function of the following form:

\(f(x) = a^{x}\). where x is a variable, and a is a constant called the base of the function.

Given exponential equation

\(324=4(3)^{2x}\)

\(4(3)^{2x}=324\)

\(3^{2x} =\frac{324}{4}\)

\(3^{2x}=81\)

\(3^{2x}=3^{4}\)

When bases are equal, power should be equal.

2x = 4

x = 2

Hence, the solution to equation \(324=4(3)^{2x}\) is x = 2.

Option C is correct.

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Answer:

the answer is

Step-by-step explanation:

the answer

Answer:

The foci of the given ellipse  = (0 ,-√5 ) and ( 0, √5 )

Step-by-step explanation:

Step(i):-

Given Ellipse   9 x² + 4 y² = 36

                     \(\frac{9x^{2} }{36} + \frac{4y^{2} }{36} =1\)

               ⇒     \(\frac{x^{2} }{4} + \frac{y^{2} }{9} = 1\)

Step(ii):-

  The Major axis lies on y-axis

   Foci of the Formula C² = a² -b² = 9-4 =5

                                 C = √5

The Foci is always lie on the major axis(longest) axis, spaced equally each side of the centre

Given ellipse of the foci is lie on Y- axis

Final answer:-

The foci of the given ellipse  = (0 ,-√5 ) and ( 0, √5 )

The completed blanks in Nyala's solution that is used to prove that the measure of angle x is 40° is as follows;

If we perform a 180° rotation about the point O the following happens

Ray \(\overleftrightarrow{EF}\) maps unto ray \(\overleftrightarrow{GH}\)

Ray \(\overleftrightarrow{GH}\) maps unto ray \(\overleftrightarrow{FE}\)x

\(\overleftrightarrow{FG}\) maps unto itself

Therefore, the image of angle x will be exactly where the pre-image of 40° was. Since rotation preserve angle measure, the measure of angle x must be 40°.

The measure of an angle is the degree of rotation between the initial side and the terminal side of the angle.

The details of the method Nyala used to prove that the measure of the angle x is 40° can be found as follows;

The rotation of a line 180° about the center of the line maps onto itself, and the rotation of a line about a non colinear point, is parallel to the original line.

Whereby the center of rotation of the line \(\overleftrightarrow{EF}\) is equidistant from both the line \(\overleftrightarrow{GH}\) which is parallel to the line \(\overleftrightarrow{EF}\), the image of the line \(\overleftrightarrow{EF}\) maps to the line \(\overleftrightarrow{GH}\) following a 180° rotation about the point O, and the rotation of the line \(\overleftrightarrow{FG}\) about the point O maps unto itself, such that the angle x maps to the angle 40°, therefore;

∠x ≅ 40° (A rotation transformation is a rigid transformation)

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Answer:

80

Step-by-step explanation:

I took the test!

The measure of the fifth angle will be 80°. Therefore, the correct option is B.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

Let 'n' be the number of sides of the polygon. Then the sum of the interior angles of the polygon is given as,

Sum of angles = (n - 2) × 180°

The sum of the interior angle of the pentagon is given as,

Sum of angles = (5 - 2) × 180°

Sum of angles = 3 × 180°

Sum of angles = 540°

And the diagram is given below. The equation is given as,

x + 90° + 90° + 140° + 140° = 540°

x + 460° = 540°

x = 540° - 460°

x = 80°

Therefore,  the correct option is B.

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Answer:

The test statistic is \(z = -0.28\)

Step-by-step explanation:

First, before finding the test statistic, we need to understand the central limit theorem and difference between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

A random sample of children in two different schools found that 16 of 40 at one school

This means that:

\(p_1 = \frac{16}{40} = 0.4, s_1 = \sqrt{\frac{0.4*0.6}{40}} = 0.0775\)

13 of 30 at the other had this infection.

This means that:

\(p_2 = \frac{13}{30} = 0.4333, s_2 = \sqrt{\frac{0.4333*0.5667}{30}} = 0.0905\)

Conduct a test to answer if there is sufficient evidence to conclude that a difference exists between the proportion of students who have ear infections at one school and the other.

At the null hypothesis, we test if there is no difference, that is:

\(H_0: p_1 - p_2 = 0\)

And at the alternate hypothesis, we test if there is difference, that is:

\(H_a: p_1 - p_2 \neq 0\)

The test statistic is:

\(z = \frac{X - \mu}{s}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis and s is the standard error

0 is tested at the null hypothesis:

This means that \(\mu = 0\)

From the two samples:

\(p = p_1 - p_2 = 0.4 - 0.4333 = -0.0333\)

\(s = \sqrt{s_1^2+s_2^2} = \sqrt{0.0775^2+0.0905^2} = 0.1191\)

Value of the test statistic:

\(z = \frac{X - \mu}{s}\)

\(z = \frac{-0.0333 - 0}{0.1191}\)

\(z = -0.28\)

The test statistic is \(z = -0.28\)

Answer:

x= 1/5y + 6/5

Step-by-step explanation:

Answer: 1001000

Step-by-step explanation:

IF A= 65

   H=72

   BINARY OF H= 72 = 1001000

This sequence is not convergent because the nth term does not approach a single limit as n approaches infinity. The limit does not exist, so the answer is DNE.

This sequence does not converge to a single limit because the nth term of the sequence, an, has a coefficient of n, which means that the value of an increases without bound as n increases. This means that the value of an does not approach a single limit as n approaches infinity, and so the limit does not exist. Therefore, the answer for the limit as n approaches infinity is DNE.

This sequence does not converge to a single limit because the nth term of the sequence, an, has a coefficient of n, which means that the value of an increases without bound as n increases. As n increases, the value of an increases, and so the value of an does not approach a single limit as n approaches infinity. This means that the limit does not exist, and so the answer for the limit as n approaches infinity is DNE.

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Answer:

\(x=-\frac{4}{5}\)

Step-by-step explanation:

\(6=\frac{3}{4}(10x+16)\\\mathrm{or,\ }6\times 4=3(10x+16)\\\\\mathrm{or,\ }24=30x+48\\\\\mathrm{or,\ }-24=30x\\\\\mathrm{\therefore}\ x=-\frac{4}{5}\)

Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Answer:

Step-by-step explanation:

2x < 6 ⇒ x < 3

3x + 2 > - 4 ⇒ x > - 2

x ∈ ( - 2 , 3 )

Answer:

the difference is -46 degrees

Step-by-step explanation:

1.It is generally considered best practice for parents to discuss their intentions with their children and heirs to avoid confusion or misunderstandings.

2.As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had.

3.I have personally not had experience with a family member's will. However, I believe it is important to approach the topic of writing a will with sensitivity and empathy.

1. While it is understandable that Brennan and Maureen's parents may have wanted to keep their financial affairs private, their lack of communication may have caused confusion and disappointment for their children. Ideally, the parents should have discussed their estate planning with their children and explained the impact of the gifts on their final inheritance.

2. As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had. While it can be difficult to broach sensitive topics like death and inheritance, it is important for family members to have open and honest communication to prevent misunderstandings or disputes down the line.

3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.

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Answer:

130.5ft²

Step-by-step explanation:

Hello There!

The figure shown is a composite figure ( so we can't find the area of it using one formula )

That being said we want to break the irregular figure into regular figures in which the area can simply be found using a formula

The figure would be broken in to the following shapes

A rectangle with a width of 4 ft and a length of 9 ft

A rectangle with a width of 8 ft and a length of 9 ft

A triangle with a height of 5 ft and a base of 9 ft

Now that we have broken the irregular figure into regular shapes we want to find the area of each individual shape

For the smaller rectangle:

The area of a rectangle can simply be calculated by multiplying the width and length

So A = 9 * 4

9 * 4 = 36

so the area of the smaller rectangle is 36ft²

For the larger rectangle

Once again the area can simply be found by multiplying the width and length

A = 8 * 9

8 * 9 = 72

so the area of the larger rectangle is 72ft²

For the triangle

To find the area of a triangle we want to use this formula

\(A = \frac{bh}{2}\)

where b = base and h = height

We have already identified the base and height so all we have to do is plug in the values into the formula

\(A=\frac{5*9}{2} \\5*9=45\\\frac{45}{2} =22.5\)

so the area of the triangle is 22.5ft²

Finally we add the areas of each regular figure

22.5 + 72 + 36 = 130.5

so we can conclude that the area of the composite figure is 130.5ft²

Given:

Felix's total credit card balance is described by the following function

\(f(p)=p(1.30)\)

To find:

The total bill plus interest if Felix owes 2500.

Solution:

We have,

\(f(p)=p(1.30)\)

Where \(p\) is the amount Felix owes.

Putting \(p=2500\) in the given function, we get

\(f(2500)=2500(1.30)\)

\(f(2500)=3250\)

Therefore, the total bill plus interest is 3250.

Step-by-step explanation:

For parallel line:

slope of given line:

m=-1/2

Parallel lines have equall slopes:

required slope=-1/2

For perpendicular line:

m1×m2=-1

-1/2×m2=-1

m2=2

slope of perpendicular line=2