Given the function f(x)= -5x²-x+20, find f(3).

The term that changes the size of a figure is called Dilation

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A description of a dilation includes the scale factor and the center of the dilation. A dilation stretches or shrinks the original figure. Remember that to dilate something in the coordinate plane, multiply each coordinate by the scale factor

The term for a transformation that changes the size of a figure is dilation. Dilation involves stretching or shrinking a figure while maintaining its shape, using a scale factor greater than 1 for enlargement or between 0 and 1 for reduction.

The term for a transformation that changes the size of a figure is dilation.

Dilation is a geometric transformation that alters the size of a figure while keeping its shape intact. It involves stretching or shrinking the figure by a scale factor, which can either be greater than 1 (resulting in an enlargement) or between 0 and 1 (resulting in a reduction). In a dilation, all points of the original figure move away from or toward a fixed center called the "center of dilation," and their distances from the center are multiplied by the scale factor.

In contrast, other transformations have different effects:

Rotation involves turning a figure about a fixed point.

Reflection flips a figure over a line, creating a mirror image.

Translation shifts a figure in a specific direction without altering its size or shape.

So, the transformation that changes the size of a figure is dilation.

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Answer:

 A =  114 m²

Step-by-step explanation:

The formula for area of a trapezoid is

A = (1/2)(B + b)h   where B is the bottom base, b is the top base, and h is the height.  

We are given B = 11, b = 8, and h = 12, plug those values in and simplify

A = (1/2)(11 + 8)(12)

     A = (1/2)(19)(12)

          A = (19)(6)             (half of 12 is 6)

                A =  114 m²

1/5x5=1,65+1+6=72, and 72÷9=8. The answers 8.

80, 80, 80, 80, 80, 85, 85, 85, 85, 85, 90, 90, 90, 90, 90

Mean = 85

Median = 85

Range = 10

Mean Absolute Deviation (MAD) = 3.33

Answer:

3.33

Step-by-step explanation:

hope this helps

Answer:

The function is

g(x) = 5^(-x)

This question can be easily solved by using a graphing calculator

and plotting the graph of g(x)

In the image below, we can see that for each value of x , there is a corresponding value for g(x)

This means that the function does not have any discontinuities. Therefore,

The domain of g(x) is all real numbers  (x ∈ R)

The range is related to the values that can be achieved by g(x),

Since it is a positive exponential function, all values will be g(x)>0

And the range would be (0,∞)

The domain of g(x) = 5-x is all real numbers because any real number can be an input, but the range is not all real numbers since the output is limited to values equal to or less than 5.

The function g(x) = 5-x has a domain of all real numbers because you can plug in any real number for x and it will result in a valid output. In contrast, the range of g is not all real numbers because the function g(x) can only produce certain values based on the operations involved. For instance, if x is a real number, the expression 5-x will always result in values less than or equal to 5, since you are subtracting a real number from 5. Thus, the output will never be greater than 5, so the range is all real numbers less than or equal to 5.

Answer:

y=3x-38

Step-by-step explanation:

We know that Tracy spent $38 in less than 3 times than what Daniel spent. Given this information we can put our eqaution together.

Y=3x-38

Hope this helps! :)

Answer:

Step-by-step explanation:

Your balance or -50$

C is the correct answer

1 and 2 are adjacent angles. (C)

Answer: This was HARD! 3.279279986x10^34

Step-by-step explanation:

I HOPE TO GOD THAT HELPED! phew!

Answer:

Hundreds

Step-by-step explanation:

Answer:

y = - 2 or y = 6

Step-by-step explanation:

Given the 2 equations

y = 2x → (1)

y = x² - 3 → (2)

Substitute y = x² - 3 into (1)

x² - 3 = 2x ( subtract 2x from both sides )

x² - 2x - 3 = 0 ← in standard form

(x - 3)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 1 = 0 ⇒ x = - 1

Substitute these values into (1) for corresponding values of y

x = 3 : y = 2 × 3 = 6

x = - 1 : y = 2 × - 1 = - 2

Answer:

8

Step-by-step explanation:

Evaluate 3x^2+x-2 when x=-2

Just plug in x = - 2 into the expression

= 3(-2)^2 + (-2) -2

= 3(4) -2 - 2

= 12 - 4

= 8

The value of the expression [tex]3x^2+x^{-2}[/tex] at x=2 will be equal to 8.

Expressions are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Evaluate [tex]3x^2+x^{-2 }[/tex]when x=-2

Just plug in x = - 2 into the expression

[tex]= 3(-2)^2 + (-2) -2[/tex]

[tex]= 3(4) -2 - 2[/tex]

[tex]= 12 - 4[/tex]

[tex]= 8[/tex]

Hence value of the expression [tex]3x^2+x^{-2}[/tex] at x=2 will be equal to 8.

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Answer:

x=(5+i*sqrt(35))/2, (5-i*sqrt(35))/2

Step-by-step explanation:

Use the quadratic formula with the following values.

a = 1

b = -5

c = 15

Substitute and simplify.

(5+-sqrt((-5)^2-4*(1*15)))/2*1

x = (5+-i*sqrt(35))/2

When you get a negative number inside the square root, remember that you can pull out i to make the number inside positive.

Answer:

Step-by-step explanation:

The formula of a surface area of a cube:

[tex]S.A.=6a^2[/tex]

a - edge

We have S.A. = 54 in². Substitute:

[tex]6a^2=54[/tex]        divide both sides by 6

[tex]a^2=9\to a=\sqrt9\\\\a=3\ in[/tex]

The formula of a volume of a cube:

[tex]V=a^3[/tex]

Substitute:

[tex]V=3^3=27\ in^3[/tex]

Answer:

That would be 24%.

Answer:

6 ft

Step-by-step explanation:

The surface area of a cube is given by

SA = 6s^2

216 = 6s^2

Divide each side by 6

216/6 = 6s^2/6

36 = s^2

Take the square root of each side

sqrt(36) = sqrt(s^2)

6 =s

Each side is 6ft

Answer:

810cm^3

Step-by-step explanation:

Answer:

504th caller

Step-by-step explanation:

To determine who would win both the free concert ticket AND the backstage access pass, we need to find the first number that is divisible by both 42 and 72 at the same time.

That's called the Least Common Multiple (LCM), and it can be found with this formula:

[tex]lcm(a,b) = (\frac{|a * b|}{gcd(a,b)} )[/tex]

Where gcd is the Greatest Common Divisor, meaning what's the greatest number that divides both numbers without any leftover.

In the case of 42 and 72, the GCD is 6.

So, let's take the formula again, punching in the numbers this time and solving it.

[tex]lcm(42,72) = (\frac{|42 * 72|}{6} ) = \frac{3024}{6} = 504[/tex]

And 504 does divide both 42 (result is 12) and 72 (result is 7).

Answer:

The answer would be 60cm.

Step-by-step explanation:

If triangle ABC has a side length of 4 cm and the area is equal to 40, the triangle PQR with a side length of 6 cm would have an area of 60.

Answer:

11 books

Step-by-step explanation:

because if she gets $4 per book and gets $44 in total then that means she has read 11 books because 4 times 11 is 44.

Answer:

D. 13000 is the correct option out of the choices!

The total earnings of the 5 weeks will be 13,000.

A process of combining two or more numbers is called addition.

We have to given that;

The average earning of a shop for first three weeks of a month are 2750 per week.

And, The earnings of next 2 weeks are 4750 rupees.

Now,

Since, The average earning of a shop for first three weeks of a month are 2750 per week.

Hence, The total earnings in first three weeks = 3 × 2750

                                                                       = 8,250

And, The earnings of next 2 weeks are 4750 rupees.

Hence, The total earnings = 8250 + 4750

                                        = 13,000

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Answer: $105.25

Step-by-step explanation: The first step is to calculate the total of the purchases that she made, which is done by this formula:

(2x$16) + 40 +25=

$32 + 40 + 25 =

$97 is the total of the clothing

Tax is 8.5%, so to calculate the tax by multiplying .085 x 97 = $8.25 Sales Tax

In order to determine the total, add $97 + 8.25 = $105.25

Answer:

132 miles

Step-by-step explanation:

miles ran + miles to run = total miles

28 + miles to run = 160

Subtract 28 from each side

28-28 + miles to run = 160-28

miles to run = 132

He still need to run 132 miles

Answer:

132 mi

Step-by-step explanation:

since he ran 28 miles but he has to run 160 miles, he still has to run some miles. if we make the amount he still has to run x, we can do 28+x=160. now we can solve this by subtracting 28 on both sides to getx=132

             28+x=160

             -28      -28

        -------------------------

            x=132

Answer: [tex]120in^2[/tex]

Step-by-step explanation:

The formula that is used to calculate the area of a triangle is:

[tex]A_{(triangle)}=\frac{b*h}{2}[/tex]

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

If the pennant has a base of 10 inches and a height of 24 inches, you know that:

[tex]b=10in\\h=24in[/tex]

As it is a triangular pennant, you can substitute the values of the base and the value of the height into the formula used to calculate the area of a triangle.

Then, total area of the pennant is:

[tex]A_{(pennant)}=\frac{(10in)(24in)}{2}\\\\A_{(pennant)}=120in^2[/tex]

Answer:

By using math skills, lol.

Step-by-step explanation:

Thats easily how you solve the problem..

Answer:

A loan that you usually have to get from a bank to use specifically for paying for a car,which you later have to pay back

Step-by-step explanation:

A car loan is a type of secured loan, where we can say that the car we buy is collateral for the loan.

In case of failure of payment of loan, the lender can repossess the car and sell it to pay off the loan.

In other words, we can say the lender or banks purchase the car for us and gives us few years time to pay back that loan.

The loan is granted with interest rates, that one has to pay above the principle amount during the tenure of the loan.

Answer: ABC = 32 degrees

Step-by-step explanation:

We are already given the measurement of angle ACB, which is 58. And given AC is tangent to circle B we also know that BAC is 90 degrees.

So,

ABC = 180 - (BAC + ACB)

ABC = 180 - (90 + 58)

ABC = 180 - (148)

ABC = 32 degrees

Hope I could help :)

Answer:

ABC is equal to 32 degrees

The value of graph of equation y =√(x+5) - 2​ is shown in figure.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We have to given that;

Equation is,

⇒ y = √(x + 5) - 2

Now, We can draw graph of equation y =√(x+5) - 2​ is shown in figure.

Hence, The figure is shown in image.

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Answer:

1/4

Step-by-step explanation:

2/8 = 1/4

The approximate percentage increase of the number of seats in the movie theater after the renovation is 34.8% when rounded to the nearest tenth of a percent.

To calculate the approximate percentage increase of the number of seats in the movie theater, we start by finding the difference in the number of seats before and after the renovation. We then divide this difference by the original number of seats and multiply by 100 to get the percentage increase.

Original number of seats = 138
New number of seats = 186
Increase in seats = New number of seats - Original number of seats
Increase in seats = 186 - 138 = 48

Next, we calculate the percentage increase:

Percentage increase = (Increase in seats \/ Original numbe of seats) x 100
Percentage increase = (48 \/ 138) x 100
Percentage increase \/= 34.7826...

When rounded to the nearest tenth of a percent, the percentage increase is approximately 34.8%.