The graph of function gis the graph of function f (x) = 2x2 + 5 after a
vertical stretch by a factor of 3. What is the function rule for function g?

Step-by-step explanation:

To determine whether a triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let's denote the three sides of the given triangle as a = 23, b = 30, and c = 19. We can check if these side lengths satisfy the Pythagorean theorem as follows:

c^2 = a^2 + b^2

19^2 = 23^2 + 30^2

361 = 529 + 900

Since 361 is not equal to 529 + 900, we can see that the given triangle is not a right triangle.

The area of the shaded region of the rectangle is approximately 573.92 square feet.

The figure in the image is that of a rectangle with a semi-circle inscribed in it.

The area of rectangle is expressed as:

Area = Length × Width

The area of semi-circle is expressed as:

Area = 1/2 × πr²

To determine the area of the shaded region, we simply subtract the area of the semi-circle from the area of the rectangle.

Area of shaded region = area of rectangle - area of semi-circle

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

From the image:

Length = 40 ft

Width = 20 ft

Radius r = 12 ft

Plug the values into the above formula:

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

Area of shaded region = ( 40 × 20 ) - ( 1/2 × 3.14 × 12² )

Area of shaded region = ( 800 ) - ( 226.08 )

Area of shaded region = 573.92 ft²

Therefore, the area is approximately 573.92 square feet.

Learn more about area of rectangle here: brainly.com/question/12019874

#SPJ1

Answer: -4

Step-by-step explanation:

Answer:

r= -4

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

    </3 PureBeauty

Answer:

36 cm

Step-by-step explanation:

Answer:

x is -1/b yw

Step-by-step explanation:

Let's assume this equals cero

This is true:

Y = 0 when X = 13 or X = -13

in other words, the roots are 13 and -13

Step-by-step explanation:

\(x = 2\)

\(y = - 2\)

\(z = 4\)

\( \: \)

\( = 2xy + 3yz - xyz\)

\( = y.(2x + 3z - xz)\)

\( = y.(2x + z.(3 - x))\)

\( = - 2.(2.2 + 4.(3 - 2))\)

\( = - 2.(4 + 4.1)\)

\( = - 2.(4 + 4)\)

\( = - 2.8\)

\( = - 16\)

The club losses during the years 4.89 years<t<11.29 years.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given,

Profit of a football club after a takeover is modeled by p(t) = t³ - 14t² + 20t + 120,

t is the number of years after the takeover

We need to find in which  years was the club making loss

p(t) = t³ - 14t² + 20t + 120,

the profit is negative when the club is in loss.

Plot the cubic equation

The profit p(t) is negative in the interval (4.89,11.29)

The number of years t cannot be a negative number

Hence the club lost during the years 4.89 years<t<11.29 years.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

The  Linear function is y equals negative one third times x plus 1

A linear function is a function that has a constant rate of change, meaning that as one variable (usually x) increases or decreases by a certain amount, the other variable (usually y) also changes by a constant amount.

Out of the four given equations, the only one that represents a linear function is the third one:

y equals negative one third times x plus 1

This is because the equation has a constant rate of change of -1/3 for any change in x. For example, if we increase x by 3, y will decrease by 1 (because 3*(-1/3) = -1). Similarly, if we decrease x by 3, y will increase by 1. This constant rate of change is what makes the equation represent a straight line when graphed.

The other three equations do not represent linear functions.

The first equation, x = 3, is not a function at all because there are multiple possible y values for the given x value of 3.

The second equation, y = 3x2, is a quadratic function because it contains an x2 term, which means that the rate of change of y with respect to x is not constant.

The fourth equation, 3x - 4 = 7, is a linear equation but not a function because for any given x, there is only one corresponding value of y. However, when the equation is solved for y, it becomes y = 3x - 3, which represents a linear function with a constant rate of change of 3.

The  linear function is y equals negative one third times x plus 1

To know more about Linear function.

https://brainly.com/question/2248255

#SPJ11

Answer:

Given,

length(l)=29ft

breadth(b)=18ft

now,

Area of rug=l×b

=29×18=522ft²

Answer:

\( \frac{dy}{dy} = \frac{x - 5}{3y + 6} \)

The value of the variable is 1. 40

we need to know that algebraic expressions are described as expressions that are made up of term, variables, constants, factors and coefficients.

these algebraic expressions are also made up of arithmetic operations.

These arithmetic operations are listed as;

From the information given, we have that;

7.5x/11=4.8/5

cross multiply the values, we get;

7.5x(5) = 4.8(11)

multiply the values

37. 5x = 52. 8

Divide both sides by the coefficient of x, we get;

x = 1. 40

Learn about algebraic expressions at: https://brainly.com/question/4541471

#SPJ1

Answer:

$500=$4c × $3p

because $4 each is 4 times c. and the same for the popcorn

Answer:

agree with answer above

$4c + $3p = $500

The surface area of the solid is 281 ft².

Given that, a solid figure made of a rectangular prism and a square pyramid,

We need to find its surface area,

To find the same, we will find the lateral surface area of square pyramid, and total surface area of rectangular prism,

So,

Surface area = 2×side×slant height + 2(length·width+width·height+height·length)-base area of the square pyramid,

= 2×5×5 + 2(4·12+12·5+4·5)-5²

= 50+256-25

= 281 ft²

Hence the surface area of the solid is 281 ft².

Learn more about surface area click;

https://brainly.com/question/29298005

#SPJ1

Answer:

A(2,2) _scale factor ½--(1,1)

B(4,6)_scale factor ½--(2,3)

C(6,2)_scale factor ½--(3,1)

is a required coordinate

Scale factor=1/2

Apply and get new coordinates

Step-by-step explanation:

we have A and B

for A,

95-82 = 13

for B,

95-86 = 9

cost of A = 9

cost of B = 8.5

total = 60

for person

A = 6,

B = 2

Total = 32

setting up objective function:

13x + 9y

constraints:

0≤x≤5, 0≤x≤5

7x + 8.5y ≤ 60

6x + 2y ≤ 32 this can be reduced by 2

3x + y≤16

this would take us to a bounded region which has the corner points and the objective values in the attachment i added.

Answer:

8x+7x+44.4=180

15x=180-44.4

15x =135.6

X=9.04

8x=9.04×8=72.32

The value of x for the second triangle if it is the reduction of the first drawing is 6.3 feet.

Given two triangles.

Also given that, the scale drawings given are the reduction of the figure.

Most probably, the second triangle must be formed after a reduction with a scale factor of k.

Let k be the required scale factor.

The value of k can be found by taking the ratio of the corresponding sides.

k = 5.2 / 10.4

  = 0.5

So all the corresponding sides will be half of the first triangle.

x = 0.5 × 12.6

  = 6.3 feet

Hence the value of x is 6.3 feet.

Learn more about Scale Factors here :

https://brainly.com/question/29464385

#SPJ1

The tornado traveled approximately 77.6 miles.

We have,

We can use the given equation S = 93 log d + 65 and substitute S = 150 to find the corresponding value of d.

150 = 93 log d + 65

85 = 93 log d

log d = 85/93

d = 10^(85/93)

Using a calculator, we get d ≈ 77.6 miles.

Rounding to the nearest tenth, we get d ≈ 77.6 miles.

Therefore,

The tornado traveled approximately 77.6 miles.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

Answer:

I think you mean this :

\( \sqrt{x - 5} = 6 \\ = > {( \sqrt{x - 5} })^{2} = {6}^{2} \\ = > x - 5 = 36 \\ = > x = 36 + 5 \\ = > x = 41\)

Or,

Square root of x-5=6 is :

\( \sqrt{x - 5} \:=\:\sqrt{6} \)

The amount of mustard seeds needed is 18/5ounces more.

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.).

Simply isolate the variable and apply multiplication, division, addition, and subtraction as needed to solve for "x" to complete the equation.

Given:-

The amount of mustard seeds that the sample calls for is 4 ounces

The amount of mustard seeds provided in the sample is 2/5 ounces

The amount of mustard seeds required in the sample is 4-(2/5)

                                                                                              =18/5 ounces

The amount of more mustard seeds required is 18/5 ounces

Learn more about the algebraic expression concept :

https://brainly.com/question/4344214

#SPJ1

The required solution is as follows,
(a) The ratio of all flowers in the vase daisies is 14: 9
(b) The ratio of daisies to roses 9:5

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here,

Number of daises in vase = 14 - 5 = 9

(a) The ratio of all flowers in the vase daisies,
= 14 / 9 or 14:9

(a) The ratio of daisies to roses,
= 9 / 5 or 9 : 5

Thus, the required ratio of flowers is given above.

Learn more about Ratio here:

brainly.com/question/13419413

#SPJ1

We are asked to use the formula for converting Celsius to Fahrenheit:

Therefore, if F is 32, what is C?

we use the equation given replacing F with 32 and solve for C:

Notice that we used 32 to replace F, and then in the process of subtracting 32 from both sides in order to isolate the unknown C, we are left with zero on the left of the equal sign, and C times the fraction 9/5 on the other.

The only way that a product can give as answer zero, is if one of the factors is zero. Then the answer is that C corresponds to 0

Part A) C is 0 degrees Celsius.

Now for part B)

What is C if F is 50?

We use the same formula, but this time replacing F with the number 50 and solving for C:

So in this case, the Celsius reading is 10 degrees

Now part C)

We want to find which value of F and C will give equal numbers, that is when C = F

So we use again the formula, and this time replace F with C, and solve the equation for C:

Which means that both readout will coincide when the temperature is - 40 degrees

Answer:

17 1/3 tons of suger

Step-by-step explanation:

2 1/6 * 8 = 17 2/6 or 17 1/3

Answer:

its b 170 is your answer i did the test

Step-by-step explanation:

Answer:

Hope I helped!~

Step-by-step explanation:

To find the equation of the line, we can use the slope-intercept form of the equation:

y = mx + b

where m is the slope of the line and b is the y-intercept.

Using the two data points given, we can calculate the slope:

m = (11.25 - 8.35) / (1995 - 1993) = 1.95

To find the y-intercept, we can use one of the data points:

8.35 = 1.95(1993) + b

b = -3884.65

So the equation of the line is:

y = 1.95x - 3884.65

To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:

y = 1.95(6) - 3884.65

y = 11.7 - 3884.65

y = -3872.95

This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.

Answer:

(2, 4)

Step-by-step explanation:

Since the point (-2, 4) is reflected about the y-axis, the sign of the x-coordinate is changed, and the y-coordinate stays the same. So the image here is (2, 4).

Answer:

y = -7/8x - 97/8

or 8y + 7x = -97

Step-by-step explanation:

7x + 8y = 18

=> 8y = -7x + 18

y = -7/8 + 18/8

If two lines are parallel, their slopes are equal. So slope is -7/8

given m = -7/8, y = -13, x = 1

y = mx + b

-13 = -7/8(1) + b

-13 = -7/8 + b

b = -13 + 7/8 = -104/8 + 7/8 = -97/8

so y = -7/8x - 97/8

=> 8y = -7x - 97

8y + 7x = -97