Identify the parent function and designee the transformations.

To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.

To find a quadratic equation with the y-intercept and vertex, we can follow these steps:

For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:

3 = a(0)^2 + b(0) + c

1 = a(-2)^2 + b(-2) + c

Simplifying these equations, we get:

c = 3

4a - 2b + c = 1

By substituting c = 3 into the second equation, we can solve for a and b:

4a - 2b + 3 = 1

4a - 2b = -2

2a - b = -1

By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:

y = x^2 + x + 3

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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.

Example:

Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).

To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.

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Answer:

is 4

Step-by-step explanation add

Answer:

A = 2/15 in^2

Step-by-step explanation:

To find the area of a rectangle, we multiply length times width

A = l*w

A = 2/5 * 1/3

A = 2/15 in^2

Answer:

\(\sf area=\dfrac{2}{15} \ in^2\)

Step-by-step explanation:

Area of a rectangle = width x length

Given:

Substitute these values into the equation are solve:

\(\sf \implies area=\dfrac13 \times \dfrac25\)

\(\sf \implies area=\dfrac{1 \times 2}{3 \times 5}\)

\(\sf \implies area=\dfrac{2}{15} \ in^2\)

Answer:

third answer is correct

Step-by-step explanation:

The equation for g(x) that matches the graph is g(x) =| -x - 3| +3

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

If we know that the function crosses x-axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

We are given that function, g(x), is shown below. It is a shifted graph of y = |x|.

The vertex of the square root function f(x) = √x is located at (0, 0). In the given graph, it has moved to (2, 4). The vertical and horizontal scale factors remain unchanged.

The equation for g(x)  is g(x) =| -x - 3| +3

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The midpoint of the midsegment of Trapezoid is   E(2m, 2n) and F (2(q+p), 2n).

According to the question,

The vertices of the trapezoid are A(4m , 4n) , B(4q , 4n) , C(4p , 0) and D(0,0).

Let mid-point of midsegment of Trapezoid be E and F

Using section formula

E (x- coordinate)= 1*4m + 0 /2

E (x- coordinate)=2m

E (Y- coordinate)= 4n/2

E  (Y- coordinate)=2n

So, the coordinates of E (2m, 2n)

similarly,

F (x- coordinate)= (1*4q + 1*4p)/2

F (x- coordinate)=2(p + q)

F (Y- coordinate)= 4n/2

F(Y- coordinate)=2n

So, the coordinates of F (2(q +p), 2n)

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Answer:

times 2, it(A) is twice as big as (B)

Step-by-step explanation:

count the vertical and horizontal sides of A then B divide each pair  of those lengths of those like B/A. 8/4 and 6/3 both = 2

Answer:

no

Step-by-step explanation:

Establish the nth term formula

There is a common difference d between consecutive terms, that is

d = - 5 - (- 9) = - 1 - (- 5) = 3 - (- 1) = 7 - 3 = 4

This indicates the sequence is arithmetic with nth term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 9 and d = 4 , then

\(a_{n}\) = - 9 + 4(n - 1) = - 9 + 4n - 4 = 4n - 13

Equate 4n - 13 to 301

4n - 13 = 301 ( add 13 to both sides )

4n = 314 ( divide both sides by 4 )

n = 78.5

Since n is not an integer then 301 is not in the sequence

301 doesn't belong to the sequence -9, -5,-1,3,7,...

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

The arithmetic sequence is given by a, a + d, a + 2d, a + 3d, … .

Hence, the formula to find the nth term is:

\(a_{n}\) = a + (n – 1) × d.

where,

a = first term

d = common difference

n = number of terms

\(a_{n}\) =  nth term

According to the question

Sequence  : -9, -5,-1,3,7,...

First term (a)= -9

common difference (d)=  -5 - (-9)

                                 =   4

\(a_{n}\)   = 301

using the formula of nth term

\(a_{n}\)  = a + (n-1)d

Substituting the value

301 = -9 + (n-1) 4

310 = (n-1) 4

77.5 = (n-1)

n = 78.5

as n always to be the whole number .

Hence, 301 doesn't belong to the sequence -9, -5,-1,3,7,...

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Answer:

-14

Step-by-step explanation:

(-5)+(-2)-8-(-1)

-5-2-8+1

-7-8+1

-15+1

-14

Answer:

-14

Step-by-step explanation:

(-5)+(-2) - (+8) - (-1)

-5-2-8+1

-15+1

-14

Answer:

10) 6

11) 18

12) 7.1

13) 1.3

Step-by-step explanation:

all you have to do is substitute

10 - 4 = 6

12 + 6 = 18

1.9 + 5.2 = 7.1

3.4 - 2.1 = 1.3

(b) 5.Let's first express 1 + 2 + ... + n as the sum of an arithmetic series:

1 + 2 + ... + n = n(n+1)/2

Now, we need to find the positive integers n for which 6n is divisible by n(n+1)/2, or equivalently, for which n+1 is divisible by 3.

If n+1 is divisible by 3, then either n+1 = 3, 6, 9, ... or n+1 = 4, 7, 10, .... The first case gives n = 2, 5, 8, ... and the second case gives n = 3, 6, 9, ....

Thus, there are 5 possible values of n: 2, 3, 5, 6, and 9.

An arithmetic series is a sequence of numbers where each term is obtained by adding a constant value to the previous term. This constant value is called the common difference. For example, the sequence 2, 5, 8, 11, 14, ... is an arithmetic series with a common difference of 3. The formula for the nth term of an arithmetic series is: a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the position of the term in the sequence, and d is the common difference. The sum of the first n terms of an arithmetic series can be calculated using the formula: S_n = n/2(a_1 + a_n).

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Parallelogram is a quadrilateral with equal diagonals. The statement BO = 7.8 cm is the only false statement

From the given diagram, the opposite sides and angle of the figure are the same but the diagonals are not equal. This shows that:

m<B = m<D

m<A = m<C

Since the diagonals are not equal that is BD is not equal to AC, hence:

OB ≠ OC

Hence the statement BO = 7.8 cm is the only false statement

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Answer:BO = 7.8 cm

Step-by-step explanation: just did the quiz

Answer:

f(3)=-11

in other words

When x=3, y=-11

Step-by-step explanation:

f(x)=-3x-2

f(3)=-3(3)-2

f(3)=-9-2

f(3)=-11

Three pοints οn the line are: (0,0), (1,30), and (2,60)

When yοu knοw the slοpe οf the line tο be investigated and the given pοint is alsο the y intercept, yοu can utilise the slοpe intercept fοrmula, y = mx + b. (0, b). The y value οf the y intercept pοint is denοted by the symbοl b in the fοrmula.

Tο sοlve the prοblem, we can start by using the fοrmula fοr the equatiοn οf a line in slοpe-intercept fοrm:

y = mx + b

We can use the given infοrmatiοn tο find the slοpe:

m = tοtal distance / number οf days = 150 miles / 5 days = 30 miles/day

b = 0 miles

Therefοre, the equatiοn οf the line representing the tοtal distance Ms. Ibrahim travels fοr wοrk in x days is:

y = 30x

When x = 0 (i.e., when Ms. Ibrahim dοes nοt wοrk), y = 0.

When x = 1 (i.e., οn the first day), y = 30 miles.

When x = 2 (i.e., οn the secοnd day), y = 60 miles.

Sο, three pοints οn the line are: (0,0), (1,30), and (2,60)

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Yes, even if you don't know how many handshakes there were overall, you can be sure that there were at least two guests who had the same number.

Assume that the gathering will have n visitors. With the exception of oneself, each person may shake hands with n-1 additional individuals. For each guest, this means that there could be 0, 1, 2,..., or n-1 handshakes.

There will be the following number of handshakes if each guest shakes hands with a distinct number of persons (i.e., no two guests will have the same number of handshakes):

0 + 1 + 2 + ... + (n-1) = n*(n-1) divide by 2

The well known formula for the sum of the first n natural numbers . The paradox arises if n*(n-1)/2 is not an integer since we know that the actual number of handshakes must be an integer. The identical number of handshakes must thus have been shared by at least two other visitors.

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Answer:

something that has been passed down to you or a gift that someone has gave you:)

Step-by-step explanation:

Answer:

Answer is option C

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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Answer:

30000

Step-by-step explanation:

Currently there are 5 significant figures.  Since there is a 5 after the 2, it would round it up to a 3.  Zeros aren't considered significant figures unless there is a period.  Therefore, 30000 is the answer.  3 is the 1 significant figure with four insignificant zeros.

Answer:

30000

Step-by-step explanation:

Remember non-zero numbers are significant.

Zero between non zero numbers are significant.

So 25637 to 1 significant figure is rounding it off to the nearest ten thousand in a simple way.

So 25637 to 1 significant figure simply becomes 30000.

HOPE IT HELPED.

ENJOY THE REST OF YOUR DAY OR NIGHT

Answer:

h=3

Step-by-step explanation:

Here's the explanation

Move 10 to the other side

5h=25-10

5h=15

h=15/5

h=3

10+5h=25

10+5h-10=25-10

5h=15

\(\frac{5h}{5}=\frac{15}{5}\)

h=3

the answer is 3

Answer:

It will take her 11 weeks to save for the bike

Step-by-step explanation:

261 -107 = 154

154 /14=11

A cumulative relative frequency distribution shows option (A) the proportion of data items with values less than the upper limit of each class

A cumulative relative frequency distribution shows the proportion of data items with values less than or equal to the upper limit of each class. It provides a cumulative summary of the data distribution by adding up the frequencies or proportions of all preceding classes.

To construct a cumulative relative frequency distribution, you start with the lowest class and calculate the relative frequency (proportion) of data items in that class. Then, for each subsequent class, you add the relative frequency of that class to the cumulative relative frequency from the previous class. This cumulative value represents the proportion of data items with values less than or equal to the upper limit of the current class.

In essence, a cumulative relative frequency distribution allows you to track the accumulation of data values as you move through the classes, giving insights into the overall distribution and the proportion of data items falling below specific values.

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Answer:

77

Step-by-step explanation:

11- 6(x – 8)

f(-3)

11-6(-3-8)

11+18+48

=77

Answer: Aₙ = Aₙ₋₁*3;  where A₀ = 2.5

Step-by-step explanation:

Let's try with some known sequences:

Arithmetic.

The difference between consecutive terms is constant:

7.5 - 2.5 = 5

22.5 - 7.5 = 15

We can already see that it is not an arithmetic sequence.

Geometric:

The ratio between consecutive terms is constant.

7.5/2.5 = 3

22.5/7.5 = 3

67.5/22.5 = 3

...

We can already see that this is a geometric sequence.

Then we can write the n-th term as:

Aₙ = Aₙ₋₁*3, where A₀ = 2.5

The slope of the line passing through the points  (-9, 6) and (-3, 9) is (1/2).

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is

y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

We know slope(m) = (y₂ - y₁)/(x₂ - x₁).

Given, A line passes through the points (-9, 6) and (-3, 9).

∴ Slope(m) of the line is = (9 - 6)/(- 3 + 9) = 3/6 = 1/2.

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