help me please!!( 30 POINTS IF ANSWERED!!)

The properties of the graph are

The equation of the function is given as

f(x) = (x - 2)(x + 6)

The above equation is a quadratic function.

Next, we plot the equation on a graph (see attachment)

Set x = 0 to determine the y-intercept

y-intercept = (0 - 2)(x + 6)

y-intercept = -12

Expand the function to determine the symmetry axis

f(x) = x^2 - 2x + 6x - 12

Differentiate and set to 0

2x - 2 + 6 = 0

This gives

x = -2 --- axis of symmetry

Substitute x = -2 in the function to calculate the vertex/Min/Max

f(-2) = (-2 - 2)(-2 + 6)

f(-2) = -16

This means that

Direction = Up, Min = -16 and Vertex = (2, -16)

Set the function to 0 to determine the roots

(x - 2)(x + 6) = 0

Solve for x

x = 2 and x = -6

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Peter threw a water balloon out of the top of a 15-yard-tall structure. The Option b is correct because it asks the domain so the option a and c are wrong from the graph can we know 0≤x≤8.

Given that,

Peter threw a water balloon out of the top of a 15-yard-tall structure.

The water balloon's height is plotted as a function of x, or the building's distance from the location in yards.

We have to find which one most domain reflects the situation's context.

The Option b is correct because it asks the domain so the option a and c are wrong from the graph can we know 0≤x≤8.

Therefore, Option b is correct.

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According to the scale the model mountain would be 39.04 inches.

Scale factor is the ratio of an object's original scale to that of a new object that is a representation of it but in a variety of sizes (bigger or smaller).

For instance, by increasing each side by, say, 2, we can expand the size of a rectangle with sides of 2 cm and 4 cm. The second figure will mimic the first figure, but every dimension of the second rectangle will be double that of the first figure. In this instance, the scale factor will be indicated by the number 2.

We now that 48800 feet = 48800 × 12 inches = 585600 inches

Scale = 1:15,000

height of model = 585600 ÷ 15000 = 39.04 inches

Hence the length of the model is 39.04 inches.

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Answer:

1 1/4 hours

Step-by-step explanation:

3/2 x5/6

15/12

1 3/12

1 1/4

Hopes this help please mark brainliest

The graph intersect y axis at (0, 6) and x axis at (0, -8).

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.

Usually, data that varies over time is represented with a line graph.

Given:

-3x+4y=24

Now, plotting the given graph

Thus, the graph intersect y axis at (0, 6) and x axis at (0, -8)

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If r = -6,  s= -2, v=10  and w = 3 then the response of the expression vs(r-s)÷2+rw is option (d) 22

The expression is

vs (r-s) ÷ 2 + rw

To find the response, we have to substitute the values in the expression

The values of the term

r = -6

s = -2

v = 10

w = 3

Substitute the values in the given expression

= 10×-2(-6-(-2)) ÷ 2 + (-6)×3

Do the arithmetic operations in bracket

= 10×-2(-4) ÷ 2 + (-6)×3

Do the multiplication

= 80 ÷2 - 18

Do the division

= 40 - 18

= 22

Hence, if r = -6,  s= -2, v=10  and w = 3 then the result of the expression vs(r-s)÷2+rw is option (d) 22

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The system of equations containing equations  y = 5/2 x + 2 and 2y = 5 x + 4 will have infinitely many solutions.

What is system of equations?

A finite collection of equations for which we searched for the common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized. In everyday life, systems of equations are used to model problems when the unknown values can be represented by variables.

Given equations:

y = 5/2 x + 2

2y = 5 x + 4

We will use the substitution method, to get the values of x and y:

2 ( 5/2 x + 2 ) = 5 x + 4

5 x + 4 = 5 x + 4

0 · x = 0

x , y ∈  R

Therefore, this system of equations will have infinitely many solutions.

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Complete question

How many solutions does the following system of equations have?

y = 5/2x + 2,

2y = 5x + 4.

Length of DF is 24cm.

If one figure may be produced from the other by a single transformation, or by a series of transformations, such as translations, reflections, rotations, and/or dilations, then and only then are two figures said to be similar. When there is a similarity transformation, the transformed image has the same shape as the original. There will always be similar varieties of triangles, quadrilaterals, and polygons. For instance, squares and equilateral triangles are both similar shapes. We know the lengths of comparable sides are proportional if two polygons resemble one another.

Given,

Two triangles are similar,

DF = AC (3)

DF = 8(3)

DF = 24

Length of DF is 24cm.

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The area of a triangle is given by the following formula:

Where b is the length of the base and h is the height of the triangle.

In this case, the length of the base equals 8 inches and the height of the triangle equals 3 inches, by replacing 8 for b and 3 for h, we get:

Then, the area of this triangle equals 12 square inches.

Answer: The median number of siblings is 3.

Step-by-step explanation:

Put all of the numbers in STAT, Edit on your TI-84 Graphing Calculator.

Press STAT again and then slide over to CALC and hit 1-Var Stats.

Press ENTER and then 2ND, 2 for the FreqList, hit enter twice.

Scroll down to Med.

The median should equal 3.

Answer:

110 is the answer

Step-by-step explanation:

I can't not just under 30 letters so I'm doing this so I can actually submit this so u can see this answer so dont mind this part right here

Answer:

-6

Step-by-step explanation:

x= 21/3

x=7

using this value,

22-4x= 22-4*7

=22-28

=-6

The equation of the line passing through the point (-6, 4) and (-2, 2) is y = -(1/2)x + 1

An equation is an expression that shows the relationship between two or more numbers and variables.

The standard form of a linear equation is:

y = mx + b

Where m is the slope and b is the y intercept.

The equation of a line passing through the point (-6, 4) and (-2, 2) is:

y - 4 = [(2 - 4)/(-2 - (-6))](x - (-6))

y - 4 = -(1/2)(x + 6)

y - 4 = -(1/2)x - 3

y = -(1/2)x + 1

The equation of the line is y = -(1/2)x + 1

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Side of the cube = 2 cm

Width of the rectangular prism = 9 cm

Length of the rectangular prism = 9cm

Height of the rectangular prism = 4 cm

Now,

The volume of total water (submerged cube)

= width of the rectangular prism x length of the rectangular prism x height of the cube

= 9 x 9 x 2 = 162 cm^3

As we know that 1 cm^3 = 1ml

So,

162 cm^3 = 162 ml

Hence the volume of water required to fill the prism such that the cube is submerged is 162 ml.

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Answer:

 y = 2x - 20

Step-by-step explanation:

where m is slope and b is y-intercept.

  y + 1 = 2(x - 3)

Write this equation in y = mx + b form.

 y + 1 = 2x - 2*3

y + 1 =2x - 6

      y = 2x - 6 - 1

      y = 2x - 7

m =2

Parallel lines have same slope.

 Slope of the required line = 2

  y = 2x + b

The point (9,-2) passes through the line. Substitute in the above equation and find the value of 'b'.

          -2 = 9*2 + b

        -2   = 18 + b

    -2 - 18 = b

        [tex]\sf \boxed{b = -20}[/tex]

Equation of the required line:

            y = 2x - 20

The factors of the given functions are ( x+ 1 ) and  ( 2x + 5 )

Given : The two functions are f(x) = 2x² += 5x -5 and g(x) = -2x - 10

In questions like these where we have to equate the two functions. We first have to do the obvious step that is equate the two values and then after that we are supposed to bring the like terms to one side because this will make the calculation both easy and less time consuming .

So as mentioned above

f( x ) = g ( x )

2x² + 5x -5 =  -2x - 10

Now bring the like variables together ;

2x² + 7x = -10 + 5

this implies the equation becomes

2x² + 7x = - 5

which can also be written as

2x² + 7x + 5 = 0

Now we can solve it further by splitting the middle term

and we will get:

2x² + 5x + 2x + 5 = 0

Taking out the common factors '

x( 2x + 5 ) + 1 ( 2x + 5) = 0

( x+ 1 ) ( 2x + 5 ) = 0

Thus the two factors are ( x+ 1 ) and ( 2x + 5 )

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Answer:

Answers below

Step-by-step explanation:

For 28 Students 300-90-(6*28) the answer is 42.

For 29 Students 300-90-(6*29) the answer is 36.

For 30 Students 300-90-(6*30) the answer is 30.

The greatest number of students that can go on the field trip for $300 is 35.

I've gotten this answer by doing 300-90-(6*35) which equals to 0.

If a computer with a cash price of $1,900 at $150.00 down and $87.50 per month for 24 months. a. The total installment price is $2250, b. The carrying charges, and (c) the number of months needed to save the money at the monthly rate to buy the item for its cash price is 22 months.

a. Total installment price:

Total installment price = 150 + 87.50 (24)

Total installment price =150 + 2100

Total installment price =2250

b. Carrying charges :

Carrying charges = Total installment price - Cash price

Carrying charges = 2250 -1900

Carrying charges = 350

c. Number of months needed:

Number of months needed = Cash price / 87.50 per month

Number of months needed = 1900 / 87.50 per month

Number of months needed = 21.7 months

Number of months needed = 22 months (Approximately)

Therefore installment price is 2250, charges is 350 and the number of months is 22.

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Nisha solved an equation given, and she made a mistake in the third step. The correct option is c. step 3.

An error in math is a mistake in solving any arithmetic equation or calculation. It can be calculating wrong or left a step.

Given;

Step 1: 7 b + 3.2 b - 5 = 18.92

Step 2:  10.2 b - 5 = 18.92   (Combining like terms in left side)

Step 3:  10.2b = 23.92   (Adding 5 on both sides)

Step 4:  b = 3.64 (Dividing both sides by 10.2)

But in step 3, she did not add 5 on both sides.

5.2 b = 18.92 incorrect. The correct equation is 10.2b = 23.92

Therefore, the correct option is c. Step 3.

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For the given set of functions, the correct graph is given below.

The link between lines and points is described by a graph, which is a mathematical description of a network. A graph is made up of some points and the connecting lines. It doesn't matter how long the lines are or where the points are located. A node is the name for each element in a graph.

Bar graphs, circle graphs, and line graphs are the three most often used types of graphs. Different types of data can be displayed using different types of graphs.

Figure 1 illustrates a graph, which is a graphic that explicitly depicts data along two dimensions.

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Answer: Therefore, the value of k is -20

Step-by-step explanation:A=-26-3= -29

                                             B=-3x+2

                                             C = -2x + 7    

                                       A+B+C= -29 -3x +2 -2x +7

                                       A+B+C= -29 +2+7 -3x -2Xx

                                       A+B+C= -20-5x    

Answer:

true

Step-by-step explanation:

Answer:

12 should be 1 as in 1 foot. 1' 1/4"

Step-by-step explanation:

Suplementsry angles are

Form a sum of 180°

Then in figure

Suplements for angle 3 are, Angles 2 and 4

Because <3 + <4 = 180°

and also

<3 + <2 = 180 °

Then answer is

Option B) Angle 4

Answer:

0.00128

Step-by-step explanation:

1.28 x 10^-1 x 10^-2

1.28 x 0.1 x 0.01

1.28 x 0.1 x 0.01

0.00128

They have [tex]30[/tex] pennies. So the option A is correct.

The ratio of pennies to dimes they have is [tex]3:5[/tex].

They have a [tex]2:3[/tex] ratio of dimes to quarters.

They have [tex]75[/tex] quarters.

We have to find the how many pennies they have.

The ratio of pennies to dimes [tex]=3:5[/tex]

We can write it as

Pennies : Dimes[tex]=3:5[/tex]

The ratio of dimes to quarters [tex]=2:3[/tex]

We can write it as

Dimes : Quarter [tex]=2:3[/tex]

When we see both ratio then we can notice that the ratio of dimes is different in both ratio.

So firstly we equal the ratio of dimes.

We can equal the ratio of dime in the ratio of pennies to dimes by multiplying with [tex]2[/tex] in both ratio and in the ratio of dimes to quarters by multiplying [tex]5[/tex] on both side.

Now we get after multiplying in the ratio.

Pennies : Dimes[tex]=3\times2:5\times2[/tex]

Pennies : Dimes[tex]=6:10[/tex]

Dimes : Quarter [tex]=2\times5:3\times5[/tex]

Dimes : Quarter [tex]=10:15[/tex]

The number of quarter is [tex]75[/tex].

They given in the ratio which means there have any number in the multiple of ratio. That which we can get real value from the ratio.

So we used [tex]x[/tex] as a multiple of ratio.

If we see in the ration of Dimes and Quarter the ratio of quarter is [tex]15x[/tex].

Now the value of quarter

[tex]15x=75[/tex]

Now the value of [tex]1[/tex] quarter

Divide by [tex]15[/tex] on both side.

[tex]\frac{15}{15}x=\frac{75}{15}[/tex]

[tex]x=5[/tex]

Hence, the value of [tex]x[/tex] is [tex]5[/tex].

Now we have to find the value of pennies.

In the ratio we can see that the ratio of pennies is [tex]6[/tex].

We can find the value of pennies by multiplying with [tex]5[/tex].

After multiplying we get [tex]30[/tex].

Hence, they have [tex]30[/tex] pennies. So the option A is correct.

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Answer: A

Step-by-step explanation:

We want to know which equation is most likely represented by the circle graphed.

For doing so, we remember the general equation of a circle:

In the equation, (h,k) is the center of the circle, and r is the radius. Thus, if we obtain the center and the radius of the circle, we will be able to obtain its equation. The center is on the point (-1, -6), as we see on the figure:

And the radius (the distance from the center to a point of the circle) is 4:

Replacing on the formula, we obtain that the equation that represents the circle graphed is:

Answer:

A hope it helps follow please

Step-by-step explanation:

hope you have a great day today

Answer: 216.77

Step-by-step explanation: