The domain for f(x) and g(x) is the set of all real numbers.

Let f(x) = 3x + 5 and g(x) = x2.

Find f(x) • g(x).



A: 3x2 + 5


B: 3x3 + 5x2


C: x2 − 3x − 5


D: 3x3 + 3x2 + 5

Plsssss help its for a test

It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.

Let the point be having coordinates (x,y).

If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

It is given that in Part F, reflect the line segment across the x-axis. Then, rotate it 90° clockwise.

Also No effect as we assumed rotation is being with respect to origin.

Finally, translate it down to 2 units.

Therefore, It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.

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Answer:

the area of right angle is 1.5×2.5=3.75

Answer:

1.5 units^2

Step-by-step explanation:

If we say that the missing side is x, we can use the pythatgorean theorem to find it.

1.5^2 + x^2 = 2.5^2  =>  2.25 + x^2 = 6.25  =>  x^2 = 4  =>  x=2

The area of a triangle is hieght * base * 1/2 => 1.5 * 2 * 1/2 = 1.5

Answer:

See explanation

Step-by-step explanation:

Chevy Malibu hybrid = 6.8

Ford mustang = 9.6

Nissan Pathfinder = 10.8

Toyota Corolla = 6.3

1. Chevy Malibu hybrid to Toyota Corolla = 6.8 to 6.3

= 6.8 : 6.3

= 6.8 / 6.3

2. Nissan Pathfinder to Ford mustang = 10.8 to 9.6

= 10.8 : 9.6

= 10.8 / 9.6

= 2.7 / 2.4

3. Toyota Corolla to Nissan Pathfinder = 6.3 to 10.8

= 6.3 : 10.8

= 6.3 / 10.8

4. Ford mustang to Chevy Malibu hybrid = 9.6 to 6.8

= 9.6 : 6.8

= 9.6 / 6.8

= 2.4 / 1.7

Answer:

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Step-by-step explanation:

Answer:

144

Step-by-step explanation:

V=PIr^2h

PI=3

V=3r^2h

r=2  h=12

V=3(2^2)12

V=3(4)12

V=12(12)

V=144in^3

Step-by-step explanation:

36 in ^3 is the volume of cylinder

Answer:

See below.

Step-by-step explanation:

Call the sum of the first n terms S.

S = a + ar + ar^2 + ar^3 + ... + ar^(n -1)

Multiply both sides by r.

Sr = ar + ar^2 + ar^3 + ar^4 + ... + ar^n

No subtract S - Sr.

      S =  a + ar + ar^2 + ar^3 + ar^4 + ... + ar^(n -1)

(-)    Sr =       ar + ar^2 + ar^3 + ar^4 + ... + ar^(n - 1) + ar^n

-------------------------------------------------------------------

  S - Sr = a - ar^n

S(1 - r) = a(1 - r^n)

S = a(1 - r^n)/(1 - r)

S = a(r^n - 1)/(r - 1)

a + ar + ar^2 + ar^3 + ... + ar^(n -1) = a(r^n - 1)/(r - 1)

Answer:

see below

Step-by-step explanation:

3x + 5 = 17

Subtract 5 from each side

3x+5-5 = 17-5

3x = 12

Divide each side by 3

3x/3 =12/3

x =4

Answer:

B (x=4)

Step-by-step explanation:

plug it in...

3(4)+5=17

Answer:

Step-by-step explanation:

He bought a total of 5 tickets, some child, some adult. This is the NUMBER equation.

# of adult tickets + # of child tickets = 5 tickets

Now for the COST equation. Each child ticket costs $2, so the expression for that is 2c; each adult ticket costs $8, so the expression for that is 8a. He spend a total of $22:

$2c + $8a = $22

Money and the number of tickets are NOT THE SAME so they cannot be put into the same equation. They won't add or subtract because they're not like.

Your system is choice A

Answer:

Justin did not eat 7/12 of the pizza

Step-by-step explanation:

Marc eats 1/6 × 24 = 4, 24 - 4 = 20 left over

Claudine eats 1/4 × 20= 5, 20 - 5 = 15 left over

Sylvia eats 1/3 × 15 = 5, 15 - 5 = 10 left over

Justin eats 10.

24 - 10 = 14

Justin did not eat 14/24 = 7/12

Answer:

Step-by-step explanation:

The mean, [tex]\bar{x}[/tex], is 90 and the standard deviation, [tex]\sigma[/tex], is 12.  We are looking for the probability that the variable X will fall between 57 and 105. We use the z-score table for this, AFTER we find the z scores. The formula to find the z-scores for us is:

[tex]P(\frac{57-\bar{x}}{\sigma}\leq z\leq \frac{105-\bar{x}}{\sigma})[/tex] and we fill in accordingly:

[tex]P(\frac{57-90}{12}\leq z\leq \frac{105-90}{12})[/tex] which simplifies to

[tex]P(-2.75\leq z\leq 1.25)[/tex] and we will break them up into 2 different sets as follows:

P(-2.75 ≤ z ≤ 0) + P(0 ≤ z ≤ 1.25)

and based on the fact that z scores are given from 0 on up, we are going to convert the first one by using the logic that if z is greater than -2.75 but less than 0, by symmetry, z is greater than 0 but less than 2.75:

P(0 ≤ z ≤ 2.75) + P(0 ≤ z ≤ 1.25) and we go to the z-score table.

Locate 2.7 down along the left side and move over til you're under the .05; that gives us the z-score for 2.75 which is .4970. Do the same for 1.25 to get a z-score of .3944. Add them together to get a final z-score that covers the range of values for X:

.4970 + .3944 = 0.8914

Answer:

Divide 278 by 4 and the remainder value is the amount of leftover brownies.

278 ÷ 4 = 69, remainder of 2

Therefore, he had 2 brownies left.

Answer:

A

Step-by-step explanation:

Answer:

FDG=NMP

Step-by-step explanation:

You can see below that the bases DG and MP are equal, and one of the saides DF and NM are equal, and D=P, so the triangles are the same, you can also see the triangles are isosceles, so they are the same since NM=FD=FG=NP and FD=NM is shown in the picture

Answer:

136

Step-by-step explanation:

Surface area=2*(lb+bh+lh)

=2*(12+42+14)=2*68=136

Answer:

3*6 × 3*-3 × 3*6

3*(6-3+6)

3*9

Answer:

D. (7×10) + (3×3) + (2×1)

Step-by-step explanation:

(7×10)=70 + (3×3)=9 + (2×1)=2

=70+9+2

=792

Answer:

see below

Step-by-step explanation:

Function 1

Find the slope

m = ( y2-y1)/ (x2-x1)

   = (-5 -3) /(3 - -1)

   = ( -5-3)/(3+1)

   = -8/4

   = -2

Function 2

Using the points (0,4) and (-1,0)

m = ( y2-y1)/ (x2-x1)

m = ( 0-4)/(-1-0)

   = -4/-1

    = 4

The function with the greater rate of change is function 2

#Function 1

Slope=

#Function 2

Slope

Function 2 has greater rate of change

Answer:

40 degrees

Step-by-step explanation:

The formula for calculating the sum of interior angles is ( n − 2 ) × 180 (n = Number of sides)

in this scenario you have 9 sides so put it in the equation.

(9 - 2) ×180 = 1260

1260 is the sum of all the interior angles so we must divide this number by the number of sides to get the angle of one individual interior angle.

1260/9 = 140

180-140 = 40 degrees

Answer:

f(-3) = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x²

Step 2: Evaluate

Answer:

17

Step-by-step explanation:

8+4+5=17

Answer:

7

Step-by-step explanation:

(+8)-(-4)+(-5)

=8+4-5

=12-5

=7

Answer:

sinΘ = opposite/ hypotenuse

sin (37)= CV/55

55 sin (37) = CV

CV=33.1

OAmalOHopeO

9514 1404 393

Answer:

Step-by-step explanation:

Arc DV is 100°, so any inscribed angle that intercepts that arc will have a measure that is half of 100°, or 50°.

Inscribed angles DCV and VBD both intercept arc DV, so both are 50°.

Answer:

45 and 23

Step-by-step explanation:

Let x equal the first number and y equal the second number.

We can set the following equations up with our information:

[tex]x+y=68[/tex]

[tex]x-y=22[/tex]

Adding the two equations together, we get:

[tex]2x=90[/tex]

Dividing by two, we receive [tex]x=45[/tex]

We can plug this into our first equation to get [tex]45+y=68[/tex].

Subtracting 45 from both sides, we get [tex]y=23[/tex].

The two numbers are 45 and 23, solved using system of equations.

A system of equations is a set of equations, involving similar variables used to solve for the variables simultaneously.

In the question, we are asked to find the two numbers, whose sum is 68 and the difference is 22.

We assume the two numbers to be x and y.

The sum of the two numbers is given to be 68.

This can be shown as an equation, x + y = 68 ... (i).

The difference of the two numbers is given to be 22.

This can be shown as an equation, x - y = 22 ... (ii).

Equations (i) and (ii) together makes a system of equation in the variables x and y.

To solve for the system of equation, we add (i) and (ii), to get:

x + y = 68

x - y = 22

_________

2x  = 90,

or, x = 45.

Substituting x = 45 in (i), we get:

x + y = 68,

or, 45 + y = 68,

or, y = 23.

Thus, the two numbers are 45 and 23, solved using system of equations.

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Answer:

a) [tex]n = 4 + 7\cdot i[/tex], [tex]\forall\, i \in \mathbb{N}_O[/tex], b) [tex]n = 2 + (i+1)^{2}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]

Step-by-step explanation:

a) The sequence is representative for an arithmetic sequence, whose key characteristic is that difference is between two consecutive elements is the same. In particular, the sequence has a difference of 7 between any two consecutive elements and the initial element is 4. Hence, we can derive the following formula:

[tex]n = n_{o} + r\cdot i[/tex], [tex]\forall\, i \in \mathbb{N}_O[/tex] (1)

Where:

[tex]n_{o}[/tex] - Initial element.

[tex]r[/tex] - Difference between two consecutive elements.

[tex]i[/tex] - Index.

If we know that [tex]n_{o} = 4[/tex] and [tex]r = 7[/tex], then the expression for the n-th term of the sequence is:

[tex]n = 4 + 7\cdot i[/tex], [tex]\forall \,i\in\mathbb{N}_{O}[/tex]

b) In this case, we have a geometric sequence described by the following equation:

[tex]n = 2 + (i+1)^{2}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]  (2)

The constant element ([tex]2[/tex]) represents the two extreme squares, whereas the second order binomial represents the total of squares in the middle ([tex](i+1)^{2}[/tex]) and emulates the area formula of the square.

Answer:

Step-by-step explanation:

?

Answer:

you would receive 12.5% of the discount

Step-by-step explanation:

20% off of 62.50 is 50; so you would pay $50

You want to try and get rid of one of the variables ( x or y) so you would multiply the second equation by 2 which would make the x variable -2x which then when added to the first equation would eliminate the x variable.

Answer: c. Multiply the second equation by 2.

[tex]\\ \sf\longmapsto( 7x {}^{2} + 9x + 7)(9x - 4) \\ \\ \sf\longmapsto {7x}^{2} (9x - 4) + 9x(9x - 4) + 7(9x - 4) \\ \\ \sf\longmapsto 63x {}^{3} - 28 {x}^{2} + {81x}^{2} - 36x + 63x - 28 \\ \\ \sf\longmapsto {63x}^{3} + 53 {x}^{2} + 27x - 28[/tex]

Option d is correct

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hipe it helps you...............

Answer:

x = 40

Step-by-step explanation:

3-4-5 triangle scale factor by 10

Missing side is 4

4*10 = 40 | Multiply by 10 bc of scale factor

x = 40