Write the vertex form equation of a parabola that has been translated right of the origin by 5 units, translated down from the origin by 15 units, reflected over the x-axis, and stretched vertically by a factor of
6

Answer:

5x + 3y = - 15

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, - 5) ← 2 points on the line

m = \(\frac{-5-0}{0-(-3)}\) = \(\frac{-5}{0+3}\) = - \(\frac{5}{3}\)

the line crosses the y- axis at (0, - 5 ) ⇒ c = - 5

y = - \(\frac{5}{3}\) x - 5 ← in slope- intercept form

multiply through by 3 to clear the fraction

3y = - 5x - 15 ( add 5x to both sides )

5x + 3y = - 15 ← in standard form

Answer:

- sinu

Step-by-step explanation:

using the difference identity for sine

sin(a - b) = sinacosb - cosasinb

then

sin(u - π )

= sinucosπ - cosusinπ

= sinu(- 1) - cosu(0)

= - sinu - 0

= - sinu

Answer:

There is an outlier at 0, and a gap at 1,2, and 3. The peak is at 5, and the plot is more or less skewed left.

Step-by-step explanation:

Answer:

spot natural sciences grade 9 topic cells and basic units

Answer:

exercising is good

Step-by-step explanation:

exercising releases hormones in your body that can make you happier, it also keeps your mind in tip top shape. Also even just being outside of a building would also release hormones in your brain that causes you to lighten your mood!

Answer: Exercise can help with mental health because when your angry sometimes working out can help get rid of anger and if your sad it can help get more motivated and positive about some stuff. It also helps with discipline and respect which can help with your social skills by talking respectfully to others.

Answer:

So what's the angle? Can you attach a pic please?

Step-by-step explanation:

Answer:

21 over 6 (21/6)

26 over 6 (26/6) =47 over 6 (47/6)

your final answer is 7 5/6

Step-by-step explanation:

Step-by-step explanation:

\(3 \frac{3}{6} + 4 \frac{2}{6} \)

Which simplifies to:

\( \frac{21}{6} + \frac{30}{6} \)

When added is:

\( \frac{51}{6} \)

When transformed back into a Mixed Fraction:

\(8 \frac{3}{6} \)

Answer:

  360π

Step-by-step explanation:

Put the given numbers in the volume formula and do the arithmetic.

  V = πr²h . . . . . r is the radius; h is the height

  V = π(6²)(10)

  V = 360π

The volume is 360π cubic units.

Answer:Ron has 5 dimes and 9 quarters

Step-by-step explanation:

Lets try 9 quarters,

9x25= 225

275-225=50

50/10(Dime value)

5, Ron has 5 dimes and 9 quarters

The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

Given that;

The sequence is,

11, 13, 15, 17, ....

Here, Common difference is,

13 - 11 = 2

15 - 13 = 2

Hence, Sequence is in Arithmetic sequence.

So, the nth term of 11,13,15,17 is,

⇒ T (n) = a + (n - 1)d

⇒ T (n) = 11 + (n - 1) 2

⇒ T (n) = 11 + 2n - 2

⇒ T (n) = 9 + 2n

Thus, The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

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Answer:

B and D

Step-by-step explanation:

they both make srnse to me

The required percentage of individuals is 66.07%.

What is percentage?

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

The required data from the given table is as follows,

The total number of individuals is 112.

The number of individuals who ride Ferris wheel but not roller coaster is 74.

As per the question the percentage can be found as below,

Required percent = (The required number ÷ Total number) × 100

                              = (74 ÷ 112) × 100%

                               = 66.07%

Hence, the percentage of the individuals rode the Ferris wheel and did not ride the roller coaster is  66.07%.

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Answer: (p, q) = (3, 2)

Step-by-step explanation:

So we get that g(f(x)) = p(1-x)^2 + q = p(x^2 - 2x + 1)+q = px^2 - 2px + p+q.

Matching coefficients, we get that p=3, -2p=-6, and p+q=5.

It follows that p=3 and q=2.

All angles are 90 degrees.Rhombus: All sides are of equal length.Square: All angles are 90 degrees and all sides are of equal length

a) To construct a triangle in GeoGebra, we can follow the steps below:

Step 1: Open GeoGebra and select the ‘Polygon’ tool.

Step 2: Select the ‘Triangle’ option.

Step 3: Click three points anywhere on the graph.

Step 4: Once you have drawn the triangle, you can use the ‘Angle’ tool to measure all the angles in the triangle. Similarly, use the ‘Length’ tool to measure the length of each side of the triangle.To identify the type of triangle, we can use the following properties:Acute Triangle: All angles of the triangle are less than 90 degrees.Right Triangle: One of the angles in the triangle is 90 degrees.Obtuse Triangle: One of the angles of the triangle is greater than 90 degrees.Scalene Triangle: All sides of the triangle are of different lengths.Isosceles Triangle: Two sides of the triangle are of the same length.Equilateral Triangle: All sides of the triangle are of the same length.To construct a quadrilateral in GeoGebra, we can follow the steps below:

Step 1: Open GeoGebra and select the ‘Polygon’ tool.

Step 2: Select the ‘Quadrilateral’ option.

Step 3: Click four points anywhere on the graph.

Step 4: Once you have drawn the quadrilateral, you can use the ‘Angle’ tool to measure all the angles in the quadrilateral. Similarly, use the ‘Length’ tool to measure the length of each side of the quadrilateral.To identify the type of quadrilateral, we can use the following properties:Irregular Quadrilateral: All sides and angles of the quadrilateral are of different lengths and measures.Trapezium: Only one pair of opposite sides is parallel.Parallelogram: Opposite sides are parallel.Rectangle:.b) Since we need to add a screenshot of the work done in GeoGebra, we cannot add it here. However, while you construct the triangle and the quadrilateral, you can keep adding the measure of angles and sides to find the properties of the figure. You can then use the Text command available in GeoGebra to describe the type of triangle or quadrilateral that you have constructed. To use the Text command in GeoGebra, follow the steps below:

Step 1: Select the ‘Text’ tool from the toolbar

.Step 2: Click anywhere on the graph to add the text box.

Step 3: Type the text in the text box.

Step 4: Customize the font, color, and size of the text as required.

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Answer:

Your answer is

-2r-7

Step-by-step explanation:

Hope this helps!

Answer:

-2r-7

Step-by-step explanation:

Step-by-step explanation:

Since alpha a beta are in the first quadrant, the values of cos and sin for them are positive.

Trig identities

sinΦ ^2 + cos Φ^2  = 1

 Using this identity,   then    cos a = 15/17     cos b = 12/13

Next  , sub in the values using this trig identity:

sin ( a - b ) =  sin a cos b  -  cos a sin b

                  = (8/17) (12/13) - (15/17)(5/13)   = 21/221  

Answer:

Shown from the explanation below..

Step-by-step explanation:

From the graph, it's a graph with a vertex hence its a quadratic equation without

When g(X)=2; x=0

F(4) =-10; from x=4 on the graph of f(x)

The required value of f(4) = -10, value of function evaluated from the graph.

A graph has been shown of f(x) and g(x).
g(x) = 2 is given and f(4) is to determine with the help of the graph.

The graph is a demonstration of curves  which gives the relationship between x and y axis.

The graph has been shown to find the value of f(x) coordinates located on the curve for every x on the number line of the x-axis.
In manner to locate f(4) draw the verticle from x = 4 the intersect at cover f(x)(yellow point). Now, draw the horizontal line from the yellow mark the line intersects at y = -10 on the y axis. i.e.
f(4) = -10

Thus, the required value of f(4) = -10, value of function evaluated from the graph.

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Considering that the graphs have two intersection points, the two lines are equal.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In a graph, the solution of two linear equations is the intersection of the two lines. Hence, if there are two solutions, as is the case in this problem, the two lines are equal.

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The perimeter of the quadrilateral is  b + 2c - 2 inches

To determine the value of the perimeter, we need to know the properties of a quadrilateral.

These properties includes;

The perimeter of a quadrilateral is expressed as;

Perimeter = A + B + C + D

add the values of the sides

Substitute the values, we have;

Perimeter = b + c + b - 2 + c - b

collect the like terms

Perimeter = b + 2c - 2

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Answer:

step 1,×+8=_2

step2,×=_2_8

step3,×=_10

The percentage of daily high temperatures between 505 °C and 535 °C according to the model is of:

5.22%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation of the temperatures in this problem are given as follows:

\(\mu = 465, \sigma = 25\)

The proportion of days with temperatures in the desired range is obtained with the subtraction of the p-value of Z when X = 535 by the p-value of Z when X = 505, hence:

X = 535:

Z = (535 - 465)/25

Z = 2.8

Z = 2.8 has a p-value of 0.9974

X = 505:

Z = (505 - 465)/25

Z = 1.6

Z = 1.6 has a p-value of 0.9452

0.9974 - 0.9452 = 0.0522, hence the percentage is of:

5.22%.

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Answer:

The linear equation giving the demand x in terms of the rent p can be written as x = 40 - 0.042p, where x is the number of occupied units and p is the monthly rent.

Answer:

1.2 pounds of chicken per serving.

Step-by-step explanation:

4 and 4/5 of pounds of chicken for serving of 4.

We can also write this as 4.8 pounds of chicken.

To find how much pound of chicken will be needed for a single serving we have to divide 4.8 by 4.

\( \frac{4.8}{4} = 1.2 \: pounds \: of \: chicken\)

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Thanks!

Answer:

a = 99

b = 51

Step-by-step explanation:

We can translate this problem into a linear equation. We know that:

2b - 3 = a

and

a + b = 150

We will start by minusing b from both sides in the second equation, giving us:

a = 150 - b

Then, we will substitute this into our second equation, giving us:

2b - 3 = 150 - b

We will add 3 and b to both sides, giving us:

3b = 153

Then we divide by 3:

b = 51

Now, we will substitute this into our second equation, giving us:

a + 51 = 150

Subtract 51 from both sides gives us:

a = 99

So, the a piece is 99 yards long, and the b piece is 51 yards long.

a = 99

b = 51

Hope this helped!

Step-by-step explanation:

the rhombus is both rectangle and square

Square is a shape which is both rectangle and Square.

Square, in geometry, a plane figure with four equal sides and four right (90°) angles.

As we know that rectangle is a plane figure whose angles are 90°. With four sides. In which parallel sides will have same length.

In square all the sides are equal and all angles are  90°.

The properties of rectangle and square will be almost similar.

Both rectangle and square will have four sides, four vertices and four edges. The sum of all interior angles is 360° and Its two diagonals bisect each other at right angles.

Hence every square is a rectangle. Square is both rectangle and square.

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Using the given zero . The three zeros of the polynomial function are 1 + i, 1 - i, 1/2, and 2.

If 1 + i is a zero of the polynomial function P(x), then its conjugate, 1 - i, must also be a zero of the polynomial, since complex zeros of polynomial functions with real coefficients always come in conjugate pairs.

To find the remaining zero, we can use polynomial division or synthetic division to divide P(x) by (x - 1 - i)(x - 1 + i), which is the quadratic factor corresponding to the two known zeros:

      2x^2 - 3x + 2

P(x) = --------------

       (x - 1 - i)(x - 1 + i)

Now we need to solve for the roots of the quadratic factor 2x^2 - 3x + 2. We can use the quadratic formula:

x = [3 ± sqrt(9 - 4*2*2)] / (2*2)

 = [3 ± sqrt(1)] / 4

 = 1/2 or 2

Therefore, the remaining zeros of P(x) are 1/2 and 2. The three zeros of the polynomial function are 1 + i, 1 - i, 1/2, and 2.

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Answer:

\(\frac{7}{2}g^2-\frac{4}{5} g+\frac{15}{4}\)

Answer is A

hope this helps

The coordinates of point Q and point R are; (5, -6) and (-5, 6) respectively.

From the coordinates of point P as given to be;

When the point P is reflected across the y axis to obtain point Q; the polarity of its x-ordinate changes;

When the point P is reflected across the x-axis to obtain point R; the polarity of its y-ordinate changes;

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