Find f(3) if f(x) = 4x + 12.​

The domain of the function 3x² + 6x – 8 is a real number and the range of the function 3x² + 6x – 8 will be (-11, ∞).

The domain means all the possible values of the x and the range means all the possible values of the y.

The function is given below.

f(x) = 3x² + 6x – 8

The range of the function will be

f(x) = 3x² + 6x – 8

f(x) = 3x² + 6x + 3 – 11

f(x) = 3(x² + 2x + 1) – 11

f(x) = 3(x + 1)² – 11

Then the range of the function will be from -11 to infinity.

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The scatter plot that shows the cost of long distance phone call is an illustration of a linear regression

See attachment for the line of best fit

From the attached graph, the line passes through the points:

(x,y) = (0,0) and (40,4)

The equation is then calculated using:

y = y2/y1 * x

This gives

y = 4/40 * x

Evaluate

y = 0.1x

This means that x = 120

So, we have:

y = 0.1 * 120

y = 12

Hence, the predicted cost of long distance call of 120 minutes is $12

The answer in part C is calculated by substituting 120 for x in  the equation of the line of best fit

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Answer:

the answer is c sir

pls brainly me

thx and im blessed to

answer this thx you

Answer:

129.3mm chain left without beads

Step-by-step explanation:

Equation:

400mm long chain - [(40 x 1.7mm) + (27 x 6.5mm) + (8 x 3.4mm)]

                   = chain left without beads

Calculation:  

         40 beads x 1.7mm = 68mm

         27 beads x 6.5mm = 175.5mm

         8 beads x 3.4mm = 27.2mm

         (68mm + 175.5 mm + 27.2mm) = 270.7mm chain with beads

         400mm chain - 270.7mm chain with beads

                   = 129.3mm chain left without beads

Answer:

Step-by-step explanation:

If the sum of two angles is one right angle or 90°, then one angle is said to be complementary of the other. Thus, 25° and 65°; θ° and (90 - θ)° are complementary to each other.

Suppose a rotating line rotates about O in the anti-clockwise sense and starting from its initial position

Answer:

  negative

Step-by-step explanation:

The sum of negative numbers is always negative.

Answer:

please check photo for detailed analysis

The correlation coefficient that represents the weakest correlation amongst the given options is -0.1.

Correlation is a statistical measure used to measure the relationship that exists between two variables. A value of one represents a perfect correlation. A value of zero signfies that the variables have no relationship.

So, the correlation coeffieicent with a value closest to zero would have the weakest correlation.

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Answer:

[tex] \: [/tex]

Step-by-step explanation:

We'll solve this using the Pythagorean theorem, we know that,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}}[/tex]

So, As it is given in the question that, the length of one leg of a right triangle is 9 ft and the length of the hypotenuse is 3 feet longer than the other leg and we are to find the length of the hypotenuse and the other leg.

[tex] \: [/tex]

Let us assume the other leg as x ft and therefore the hypotenuse will be (x + 3) ft.

[tex] \: [/tex]

Now, substituting the values in the formula :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x + 3 {)}^{2} = (9 {)}^{2} + (x) {}^{2} }}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (x {)}^{2} + 2.x.3 + {(3)}^{2} =81 + (x) {}^{2} }}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad \cancel{ (x {)}^{2}} + 2.x.3 +9 =81 + \cancel{(x) {}^{2} }}}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad 6x + 9 =81 }}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad 6x =81 - 9 }}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad 6x =72 }}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad x = \frac{72}{6} }}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad x =12 }}} \\ \\ [/tex]

Therefore,

Incorrect:

A-Reflection across line AC

B-Reflection across line BD

C-vertical translation

Correct:

D-Rotation about the center of the square

Thank you so much Please consider brainliest! <3

male the question little more clear

The rate of change of the area as a function of time is:

A'(t) = 6.28*(R₀ + 4ft/min*t)*(4ft/min)

Remember that for a circle of radius R, the area is:

A = 3.14*R^2

Now, if the radius increases at a rate of 4 ft/min, then we can rewrite R as:

R(t) = R₀ + 4ft/min*t

Where t is the time in minutes, and R₀ is the initial radius.

So the area function is:

A(t) = 3.14*(R₀ + 4ft/min*t)^2

The rate of change is given by the differentiation with respect to t, it is:

A'(t) = 2*3.14*(R₀ + 4ft/min*t)*(4ft/min)

A'(t) = 6.28*(R₀ + 4ft/min*t)*(4ft/min)

The rate at which the area increases, as a function of time, is given by:

A'(t) = 6.28*(R₀ + 4ft/min*t)*(4ft/min)

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Answer:

  192.6 square yards

Step-by-step explanation:

The area of a regular pentagon can be found using the formula for any regular polygon.

  A = (n/2)r²·sin(360°/n) . . . . radius r, n sides

For a pentagon, the number of sides is 5, so this becomes ...

  A = 2.5r²·sin(72°)

__

Using the given value of radius, the area is ...

  A = 2.5(9 yd)²·sin(72°) = 2.5 · 81 · 0.951057 yd²

  A ≈ 202.5 · 0.951057 yd²

  A ≈ 192.589 yd²

The area of the pentagon is about 192.6 square yards.

_____

Additional comment

We're not sure what "six steps" you're supposed to follow. The necessary steps appear to be ...

Here, the formula for a pentagon can be simplified somewhat by precomputing the value of 2.5×sin(72°) ≈ 2.37764129074. Then the formula for the area is ...

  A = 2.37764129074·r² . . . . . area of regular pentagon with radius r

Answer:

We know that:

small diameter = 2 * 10^-2 in

large diameter = 6 * 10^-2 in

We want to know how many times larger is the thin diameter compared to the large one.

We will do this as follows:

large diameter = k * small diameter

where k is the number of times that we want to find

6 * 10^-2 = k * 2 * 10^-2

k = (6 * 10^-2) / (2 * 10^-2)

k = 3

This means that the large diameter is 3 times the small one.

Step-by-step explanation:

The p-value shows that onea type of high school might not be better equip students to attain high academic honors at this college.

A p-value simply means a statistical measurement that is used to validate a hypothesis against the observed data.

Here, from the table, the p-value is 0.0393. Since the p-value is less than the level of significance which is 0.05, we are going to reject the null hypothesis.

It simply means that the observed values don't support the proportion given. Here, the p-value shows that one type of high school might not be better equip students to attain high academic honors at this college.

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Answer:

C'(-3, -3)

D'(-2, 1)

E'(-1, 0)

F'(0, -2)

Step-by-step explanation:

Remember that coordinates are written in the format (x, y).

To solve this problem, add 2 to x and subtract 2 from y for each coordinate. Going down the list and applying this to all of them, you get:

C = (-5, -1) -> (-3, -3)

D = (-4, 3) -> (-2, 1)

E = (-3, 2) -> (-1, 0)

F = (-2, 0) -> (0, -2)

Answer:

p > 8

Step-by-step explanation:

8p - 48 > 4p - 16

plus 48 on both sides

8p > 4p + 32

minus 4p on both sides

4p > 32

divide 4 on both sides, 32 ÷ 4 = 8, so,

p>8

Answer:

P > 8 ??? I don't know if this is right and if its not then sorry lol

Step-by-step explanation:

Multiply 8(p-6) and 4(p-4)

You will get 8p - 48 > 4p - 16

Then add 48 to -16

Then you will get 8p > 4p + 32

Then subtract 4p from 8p

Then you will get 4p > 32

Then divide 4 from 4p and 32

Then you will get p > 8

Answer:

53°

Step-by-step explanation:

Hypotenuse is the longest side and it is opposite to angle 90°

[tex]\sf Sin \ B = \dfrac{Opposite \ side \ of \ angle \ B}{hypotenuse}\\\\[/tex]

         [tex]= \dfrac{4}{5}\\\\=0.8[/tex]

   [tex]B = Sin^{-1} \ (0.8)\\[/tex]

B = 53°

An expression has numbers, variables, and mathematical operations. Patrick's net worth is represented by the expression $9,500-$1,900.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As it is given that the value of the assets with Patrick is $9,500, while the liabilities are $1,900. Thus, his net worth will be the difference between his assets and his liabilities.

Thus, Patrick's net worth of Patrick can be written as,

[tex]\rm Net\ worth = Assets-Liabilities[/tex]

                [tex]= \$9,500-\$1,900[/tex]

Thus, Patrick's net worth is represented by the expression $9,500-$1,900.

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Answer:

width is 5, length is 8

Answer: the person ab0ve me ISDBig. BrainnnN

Step-by-step explanation:

Answer:

C. 1,768

Step-by-step explanation:

162.8 times 60 equals 9,768

9,768 minus 1,768 is 8000

Answer:

well for starters

the answer you get when you factor it out is 3(x+3)(x+3)

i know that would mean x=-3 but i dont know how the big 3 would effect anything. hope this helps

The two perfect square trinomial perfect are x^2 − 4x + 4 and x^2 + 10x + 25.

A mathematical expression with three terms or three monomials is called a trinomial.

Polynomials having only three terms are known as trinomials.

A perfect square trinomial is an algebraic expression that takes the  form

ax^2 + bx + c,

A perfect square trinomial is gotten by the multiplication of a binomial with itself, and a binomial takes the form (x+a).

Therefore, the two perfect square trinomial perfect are x^2 − 4x + 4 and

x^2 + 10x + 25.

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Answer: Options C and D are correct

Step-by-step explanation: i took the test

Answer:

The measure of angle 7 is 47°

The value of x = 69

Step-by-step explanation:

(a) The measure of angle 7 is also 47° { therefore angle 5 angle 7 are vertically opposite angles so they are equal }

(b) if the angle 6 is represented by (2x-5) so the equation will be (2x-5) + angle 5 = 180° { linear pair}

(c)

=> 2x-5+47 = 180

=> 2x + 42 = 180

=> 2x = 180 -42

=> 2x = 138

=> x = 138/2

=> x = 69

Answer:

See below ↓↓↓

Step-by-step explanation:

(a) ∠7 = ∠5 (vertically opposite angles)

(b) ∠5 and ∠6 form a line, so their sum is equal to 180°, which is the angle of a straight line. Therefore, our equation :

(c) Solving for x :

Answer:

554 N

Step-by-step explanation:

We're looking for the magnitude of the force - angles don't matter.

We need to resolve the two forces.

As you can see in the attached drawing, this basically just becomes Pythagoras.

[tex] {f}^{2} = {355}^{2} + {425}^{2}[/tex]

[tex]f = \sqrt{ {355}^{2} + {425}^{2} } [/tex]

[tex]f = 553.76[/tex]

Answer:

1. Cos X =

2. Sin X = 3/5

3. Cos Y = 4/5

4. Sin Y = 3/5

5. Sec Y = 5/4

6. CSC X = 5/3

Step-by-step explanation:

(XY)² = (YZ)² + (XZ)²

=> (XY) ² = 3² +4²

=> (XY) ² = 9 + 16

=> (XY) ² = 25

=> (XY) = √25

=> (XY) = 5