What is the equation of the line that is perpendicular to the
given line and passes through the point (3, 4)?

Answer:

3x² - 9x - 30

Step-by-step explanation:

We use FOIL to multiply (First, Outside, Inside, Last)

Step 1: F

3x²

Step 2: O

6x

Step 3: I

-15x

Step 4: L

-30

Step 5: Rewrite

3x² + 6x - 15x - 30

Step 6: Combine like terms

3x² - 9x - 30

Answer:

[tex]3x^2-9x-30[/tex]

Step-by-step explanation:

Use the FOIL method to solve:

First: [tex]x*3x=3x^2[/tex]

Outer: [tex]x*6=6x[/tex]

Inner: [tex]-5*3x=-15x[/tex]

Last: [tex]-5*6=-30[/tex]

Combining them all, we get:

[tex]3x^2+6x-15x-30=\\3x^2-9x-30[/tex]

Answer:

$ 46 and it's not enough

Step-by-step explanation:

6 + 5x

x = weeks

so after 8 weeks, his money should be

6 + 5(8) = 6 + 40 = $ 46

Not enough for buying RC model airplane

The money for Louis have after 8 week will be $46.

And, It is not enough.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The plane cost $48. His grandfather gave him $6 and his mother gave him an allowance of $5 per week.

And, He would have 6+5x dollars after x weeks.

Now,

The money after 8 week = 6 + 5 × 8

                                      = 6 + 40

                                      = $46

Thus, The money for Louis have after 8 week will be $46.

Since, The plane cost $48.

Hence, It is not enough.

Therefore, The money for Louis have after 8 week will be $46.

And, It is not enough.

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Answer:

Step-by-step explanation:

Standard form of the equation is given by:

Ax + By = C

Where

Considering the definition, we can identify the examples and non-examples of standard from of a linear equation.

It is an EXAMPLE of standard form of linear function

NON-EXAMPLE

It is an EXAMPLE of standard form of linear function

It is an EXAMPLE of standard form of linear function

NON-EXAMPLE

NON-EXAMPLE

Answer:

answer in the picture

Step-by-step explanation:

Answer:

Jo should have rounded the divisor to -6.

Explanation:

When rounding, a number with a decimal value below 0.5 rounds down and a number with a decimal value of 0.5 and greater gets rounded up. 0.3 is less than 0.5 which means -6.03 is closer to -6 than -7 and should have been rounded to -6 instead.

Answer:

B!

Step-by-step explanation:

simple division :)))

Answer:

cosine function:

Answer:

yes its cosine

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Let's call the number of students taking chemistry x which makes the biology students 3x. Since the overlap is 4 the amount of students who take chemistry only or biology only is x - 4 and 3x - 4 respectively therefore we can write:

x - 4 + 3x - 4 + 4 = 32

4x - 4 = 32

4x = 36

x = 9

Since x = 9, the amount of biology students is 3x which is 3 * 9 = 27.

Answer:

27

Step-by-step explanation:

Answer:

-1, 0, 3, 80

Step-by-step explanation:

so replace the n it would be

[tex]1^{2} - 2[/tex] x 1

1-2

-1

[tex]2^{2} - 2[/tex] x 2

4-4

0

[tex]3^{2} - 2[/tex] x 3

9-6

3

[tex]10^{2} - 2[/tex] x 10

100 - 20

80

Answer:

44

Step-by-step explanation:

Greatest common factor is 4

36 = 4*9

8 = 4*2

36+8 = 4*9 + 4*2

= 4(9+2)

= 4(11)

= 44

Hope it helps ...

The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of factor

(x-5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis

(x+2)^2 has the power of 2 which is an EVEN number. An Even power means that the graph will touch the x-axis

To find where it will touch the axis set the factor equal to zero and solve .

(x + 2) = 0

Subtract 2 from both sides

x=-2

Answer:

Profit P(x) = 53x-12 and On selling 20 video games profit will be 1048.

Step-by-step explanation:

In the given question functions are Revenue function : R(x) = 60x and Cost function : C(x) = 12+7x  for the sale of x video games

As we know profit = sale price - cost price

Therefore P(x) = R(x) - C(x)

Or P(x) = (R-C)x = 60x - (12+7x)

P(x) = 60x -12 - 7x

P(x) = 53x -12

Now the profit on selling 20 video games will be

P(20) = 53×20 -12 = 1060 -12 = 1048.

Answer:

(a)Dependent

(b)Both

(c)Independent

Step-by-step explanation:

a) When selections are made without replacement, the second(next) outcome is dependent of the first(previous) outcome. Therefore, we subtract one from the draw on the total.

(b)The probability of Event A and Event B is the multiplication of the probability of event A and the probability of event B. Events A and B can either be dependent or independent.

(c)When selections are made with replacement, the next outcome is independent of the previous outcome. Therefore, we say that the two events are independent.

Answer:

A and B

Step-by-step explanation:

The surface area is [tex]2\pi rh+2\pi r^2[/tex]

BA is also the base, which is [tex]\pi r^2[/tex]

That means that B is also an answer.

The formulas which can be use to find the surface area of a right cylinder is  2πr² + 2 πrh and BA+2πrh.

Surface area of cylinder is the area of each faces by which it is enclosed.

The surface area of cylinder can be calculated with the following formula;

[tex]A=2\pi r^2+2\pi rh[/tex]

Here, (h) is the height of the cylinder and (r) is the radius.

This formula is similar to the option A. Thus, the option A is correct. The base of the cylinder is circular and there are two circle at the base of a cylinder.

The base area of the cylinder is,

[tex]BA=2(\pi r^2)\\BA=2\pi r^2[/tex]

Put this value in the surface area formula of cylinder as,

[tex]A=BA+2\pi rh[/tex]

Thus, the option B is also correct.

Hence, the formulas which can be use to find the surface area of a right cylinder is  2πr² + 2 πrh and BA+2πrh.

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Answer:

1. 18x^11

2. 3n^7

3. x^9

4.-2s^9

5. 6v^14

6.-3p^6

7. 8b^10

can i get brainliest for this pls :)

Answer:

216

Step-by-step explanation:

8x³

Put x as 3 in the expression.

8(3)³

Solve the power.

8(27)

Multiply.

= 216

Answer:

Sas

Step-by-step explanation:

Answer:

- 237

Step-by-step explanation:

To evaluate (g ￮ f)(6) , evaluate f(6) and use the value obtained to evaluate g(x), that is

f(6) = 6(6) + 4 = 36 + 4 = 40, then

g(40) = - 6(40) + 3 = - 240 + 3 = - 237

Answer:

First find g o f(x)

= -6(6x +4) + 3

= -36x -24 +3

= -36x -21

g o f(6) = -36(6) - 21

= -216-21

= -237

Hope this helps.

Answer: $18.51

Step-by-step explanation:

She paid $50

Her total purchases

$9.99 + $21.50 = 31.49

Change = (50 - 31.49) = 18.51

Answer:

0.50

Step-by-step explanation:

Do the opposite of addition

So 1.25 - 0.75

The solution to the equation 1.25 = 0.75 + r for r is r = 0.5

From the question, we have the following parameters that can be used in our computation:

1.25 = 0.75 + r

Add -0.75 to both sides of the equation

so, we have the following representation

-0.75 + 1.25 = 0.75 + r + -0.75

Evaluate the like terms on the right hand side

This gives

-0.75 + 1.25 = r

Evaluate the like terms on the left hand side

This gives

0.5 = r

Rewrite as

r = 0.5

Hence. the solution is 0.5

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Answer:

Nico's method is correct

Step-by-step explanation:

Lauren carelessly forgot to add the negative sign

[tex]-\frac{4}{5} = \frac{-4}{-5}[/tex]

Answer:

y = 50 x = 10.

Step-by-step explanation:

Let's solve for y first.

We know the line angle 80 and angle 2y-5 is on a 180 degree line.

Now we can do our work:

180 - 85 = 95

2y - 5 = 95

95 + 5 = 100

100 ÷ 2 = 50

2(50) - 5 = 95?

The equation is correct, therefore y = 50.

No we do the same thing for the other angles, 90 and 3x + 55.

Again, 180 line.

180 - 95 = 85

3x + 55 = 85

85 - 55 = 30

30 ÷ 3 = 10

3(10) + 55 = 85?

The equation is correct therefore x = 10.

Thus, y = 50 and x = 10.

Answer:

E.

Step-by-step explanation:

There are 12 balloons in each package.  Multiply this by the number of packages to get the number of balloons.

Answer:

E. 12p

Step-by-step explanation:

Multiply 12 by the number of packages to get the total number of ballons.

Ex.

If P is 7 :

12 x 7 = 84

84 ballons in total.

Answer:

Prime

Step-by-step explanation:

When faced with these equations, if you cant divide each term by the same GCF you multiply the like variable, exponent, or variable aka 3 here times the last term aka 5 here. So 3 times 5 is 15.

neither or these equations equal one when added or subtracted so the answer is prime.

15

1*15

3*5

The quadratic equation is not factorized completely. The given factors are prime factors. Option A is correct.

A mathematical quantity is factorized when it is expressed as multiples of smaller units of closely related quantities.

Factorization is the breakdown of an integer into smaller numbers that, when multiplied together, yield the original, considered number. Factors of those regarded as integers are those who make up an integer.

When all those factors are prime numbers, this is known as prime factorization. In other words, prime factorization expresses an integer in terms of prime multiples.

Given equation;

⇒3x²-x+5

The above quadratic equation is not factorized completely. The given factors are prime factors.

Hence option A is correct.

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Answer: 89:100

Step-by-step explanation:

89% out of a possible 100%

So, ratio will be 89:100

Answer: see attachment

Step-by-step explanation:

The standard form of a linear equation is: Ax + By = C

where A, B, and C are INTEGERS.

The 1st, 3rd, & 4th equations are in the form Ax + By = C

The 2nd, 5th, & 6th equations are NOT in standard form.

Answer:

see below

Step-by-step explanation:

{(x, y) : x≥2}∩{(x, y) : y≥2}

First {(x, y) : x≥2}

A solid line at x =2 and shaded to the right

(x, y) : y≥2

A solid line at y =2 and shaded above

∩ means intersection or where they overlap

The green area is where they over lap

These are the equations

Here clearly the lines lie in Q1 and 2 units away from both the axis

Answer:

Option D.

Step-by-step explanation:

From the given graph it is clear that it is a parabola along to the x-axis.

Vertex form of a parabola along the x-axis is

[tex]x=a(y-k)^2+h[/tex]

where, (h,k) is vertex.

From the graph it is clear that the vertex of the parabola is (4,-3). So, substitute h=4 and k=-3 in the above equation.

[tex]x=a(y-(-3))^2+(4)[/tex]

[tex]x=a(y+3)^2+4[/tex]   ...(1)

The graph passing through (1,-2), so substitute x=1 and y=-2 in the above equation.

[tex]1=a(-2+3)^2+4[/tex]

[tex]1-4=a(1)^2[/tex]

[tex]-3=a(1)^2[/tex]

Substitute a=-3 in equation (1).

[tex]x=-3(y+3)^2+4[/tex]

Therefore, the correct option is D.

Answer:

Function f(x) is positive for the values x ≤ -6 and x ≥ -2 and negative in the interval -6 ≤ x ≤ -2.

Step-by-step explanation:

As given in the graph,

Given function is a quadratic function, f(x) = (x + 2)(x + 6)

With x-intercepts of the function, x = -6 and -2

Graph below the x-axis represents the negative values of the function.

Graph above the x-axis represents the positive values of the function.

Therefore, function f(x) is positive for the values x ≤ -6 and x ≥ -2 and the function is negative in the interval -6 ≤ x ≤ -2.

Answer:

[tex] \boxed{\sf Perimeter \ of \ rectangle = 2(5x - 2) + 2(3x + 1); 62 \ centimeters} [/tex]

Given:

Length of rectangle (l) = (5x - 2) cm

Width of rectangle (w) = (3x + 1) cm

To Find:

Perimeter of rectangle

Step-by-step explanation:

[tex]\sf \boxed{\sf Perimeter \ of \ rectangle = 2(length + width)} \\ \\ \sf Putting \ value \ of \ length \ and \ with \ in \ the \\ \sf formula \ of \ perimeter \ of \ rectangle, \ we \ get:\\ \sf = 2((5x - 2) + (3x + 1)) \\ \\ \sf = 2(5x - 2) + 2(3x + 1)[/tex]

[tex]\sf Now, \ let's \ find \ the \ value \ of \ perimeter \ of \\ \sf rectangle \ by \ substituting \ x = 4, \ we \ get: \\ \\ \sf Perimeter \ of \ rectangle = 2(5(4) - 2) + 2(3(4) + 1) \\ \\ \sf 5 \times 4 = 20 : \\ \sf = 2( \boxed{20} - 2) + 2(3(4) + 1) \\ \\ \sf 3 \times 4 = 12 : \\ \sf = 2(20 - 2) + 2( \boxed{12} + 1) \\ \\ \sf 20 - 2 = 18 : \\ \sf = 2 \times \boxed{18} + 2(12 + 1) \\ \\ \sf 12 + 1 = 13 : \\ \sf = 2 \times 18 + 2 \times \boxed{13} \\ \\ \sf 2 \times 18 = 36 : \\ \sf = \boxed{36} + 2 \times 13 \\ \\ \sf 2 \times 13 = 26 : \\ \sf = 36 + \boxed{26} \\ \\ \sf = 62 \: centimeters[/tex]

Answer:

C

Step-by-step explanation:

edge2020

Answer:

63 bare paper will be visible around the stickers

Step-by-step explanation:

We are given that Jessica has some round stickers. Each sticker has a radius of 2 cm.

Now she is trying to cover as much of a sheet of paper that is 24 cm by 33 cm

Area of rectangular sheet =[tex]Length \times Breadth[/tex]

Area of rectangular sheet = [tex]24 \times 33[/tex]

Area of rectangular sheet =792 cm^2

Area of 1 circular sticker =[tex]\pi r^2[/tex]

Area of 1 circular sticker [tex]=3.14 \times 2^2 =12.56 cm^2[/tex]

No. of circular stickers can be drawn from a sheet of paper that is 24 cm by 33 cm =[tex]\frac{792}{12.56}=63.057[/tex]

So, 63 bare paper will be visible around the stickers