The functions f(x) and g(x) are defined below. f(x)=sq. root x^2+12x+36 g(x)=x^3-12 Which expression is equal to f(x) · g(x)?

Answer:

The inequality that represent the problem is [tex]80x+60y \geq 6,800[/tex]

The solution in the attached figure

Step-by-step explanation:

Let

x ----> the number of laptops sold

y ----> the number of smartphones sold

we know that

The inequality that represent the problem is equal to

[tex]80x+60y \geq 6,800[/tex]

The solution of the inequality is the shaded area

Remember that the number of laptops or the number of smartphones must be  a whole positive number

The graph in the attached figure

Answer:

the 2nd one isss x+y< 100

Step-by-step explanation:

Answer:

remainder = 0

Step-by-step explanation:

Using the Remainder Theorem

Given f(x) divided by (x + h) then the remainder is found by evaluating f(- h)

Here the divisor is (x + 2), hence evaluate at h = - 2

Let f(x) = 3[tex]x^{4}[/tex] + 2x³ - x² + 2x - 24, then

f(- 2) = 3[tex](-2)^{4}[/tex] + 2(- 2)³ - (- 2)² + 2(- 2) - 24

        = 3(16) + 2(- 8) - 4 - 4 - 24

       = 48 - 16 - 4 - 4 - 24 = 0 ← Remainder

Remainder = 0 , hence (x + 2) is a factor of f(x)

Answer:

TRUE

Step-by-step explanation:

An even function is a function that satisfies that f(x) = f(-x). Also, we know that cosine is an even function, therefore cos(theta) equals cos(-theta).

Answer:

log₁₀ (10¹²)

Step-by-step explanation:

First you should find the solution to the given equation

x-4=2³

x-4=8

x=8+4=12

Now observe the behavior of logarithmic equations with the base 10

log₁₀ 100=2

log₁₀ 10000=4

log₁₀ 1000000=6

To get the answer to

log₁₀ y=12

Then y=10¹².........................how?

check for the first case

log₁₀ 100=2 this can be written as

10²=100

This means to get y in log₁₀y=12  you should rise the base to power 12

y=10¹²

This is to say that

log₁₀ (10¹²) = 12

Answer:

Step-by-step explanation:

[tex]\lim\limits_{x\to0}\dfrac{1+3x}{x}\\\\\lim\limits_{x\to0^+}\dfrac{1+3x}{x}=\dfrac{1+(3)(0)}{(+)}=\dfrac{1}{(+)}=+\infty\\\\\lim\limits_{x\to0^-}\dfrac{1+3x}{x}=\dfrac{1+(3)(0)}{(-)}=\dfrac{1}{(-)}=-\infty[/tex]

Answer:

See below.

Step-by-step explanation:

The two sided limit does not exist.

As x approaches 0 from negative values the limit is -∞.

As x approaches 0 from positive values the limit is ∞.

Answer:

142°

Step-by-step explanation:

The angles of 38° and m<7 both make supplementary angles which equal to 180. Subtract 180 by 38.

Answer:

142

Step-by-step explanation:

Line M is a straight line. All straight lines have an angle measurement of 180 degrees.

m<7 + 38 = 180                 Subtract 38 from both sides.

m<7 + 38 - 38 = 180 - 38

m<7 = 142

Answer:

The tea's actual cost is $116.25

Step-by-step explanation:

* Lets revise how to find the z-score

- The rule the z-score is z = (x - μ)/σ , where

# x is the score

# μ is the mean

# σ is the standard deviation

* Lets solve the problem

- The average cost of a glass of iced tea is $1.25

- The standard deviation of it is 7 cents

- A new restaurant charges a price for iced tea that has a

 z-value of -1.25

* Lets change the average cost to cent

∵ $1 = 100 cents

∴ The average cost of a glass of iced tea = 1.25 × 100 = 125 cents

∵ z = (x - μ)/σ

∵ z = -1.25

∵ μ = 125

∵ σ = 7

∴ -1.25 = (x - 125)/7 ⇒ multiply both sides by 7

∴ -8.75 = x - 125 ⇒ add 125 to both sides

∴ 116.25 = x

* The tea's actual cost is $116.25

Answer: It is actually 1.16$ (The guy below accidentally added an extra 1)

Step-by-step explanation:

Answer:

Option C Geometric space

Step-by-step explanation:

Which of the following is three-dimensional and infinitely large?

Verify each case

case A) A plane is two-dimensional and infinitely large.

case B) A line is infinitely large but is only one-dimensional

case C) Geometric space is three-dimensional and infinitely large

case D) A solid is three-dimensional, but not infinite

therefore

The answer is Geometric space

Answer:

Geometric Space

Step-by-step explanation:

Which of the following is three-dimensional and infinitely large?

Verify each case

case A) A plane is two-dimensional and infinitely large.

case B) A line is infinitely large but is only one-dimensional

case C) Geometric space is three-dimensional and infinitely large

case D) A solid is three-dimensional, but not infinite

therefore

The answer is Geometric space

Answer:

The correct answer is "The ratio of language arts fans to science fans is 1:3. "

Step-by-step explanation:

The ratio is the amount of students with a favorite subject per (compare with) the amount of students that prefer other subject.

We are going to analyze every statement

Science fans are 21 (Earth Science  +Life Science ). This ratio is 21:7 or 3:1.

This ratio is 7:21,  we can divide this numbers so that is the same of 1:3

This ratio is 35:7

This ratio is 7:35 or 1:5

Answer:

b :) hope this doesn't help

Step-by-step explanation:

i mean its the right answer but maby the wrong question you were looking for like what happens to me i put in the questions it goes voo doo magic to brainly i open it and its the wrong  question i hate when it does that so then i have to copy and paste the question to put it on here just to find the wrong answer.

Answer:

C

Step-by-step explanation:

Try to plug in the first pair of numbers to eliminate some equations, all but C fail to satisfy the equation. So C is the answer.

Answer:

Step-by-step explanation:

Notice that the table doesn't have an exponential behaviour. Because an exponential function has the point (0,1), because all powers with a null exponent are equal to 1.

Also, notice that the table doesn't show a linear relation, because y-variable has all values positive.

Therefore, the only relation that follows the values of the table is

[tex]y=2.5x^{2}[/tex]

Let's evalue each x-value

[tex]y=2.5(-2)^{2} =2.5(4)=10\\y=2.5(-1)^{2}=2.5(1)=2.5\\ y=2.5(0)^{2}=2.5(0)=0\\y=2.5(1)^{2}=2.5\\y=2.5(2)^{2}=10[/tex]

Therefore, the right answer is C. The given values show a quadratic relation.

A faster way to deduct the quadratic pattern is observing that y-values are symmetric no matter if x-values are positive or negative, that meanst he function is pair, or quadratic.

Answer:

D

Step-by-step explanation:

The Rational root theorem states that the possible roots ( zeros) of a polynomial are of the form

( plus or minus ) factors of the constant term divided by the factors of the leading coefficient.

For x³ - 3x² + 27x - 8

The factors of constant term (- 8) are ± 1, 2, 4, 8

The coefficient of the leading term x³ is 1

Hence possible zeros are

± ([tex]\frac{1,2,4,8}{1}[/tex]) = ± 1, ± 2, ± 4, ± 8 → D

Step-by-step explanation:

Taking left hand side:

[tex]\frac{1+tan\ x}{sin\ x+cos\ x}\\=\frac{1+\frac{sin\ x}{cos\ x} }{sin\ x+cos\ x}\\=\frac{\frac{cos\ x+sin\ x}{cos\ x} }{sin\ x+cos\ x}\\=\frac{cos\ x+sin\ x}{cos\ x} * \frac{1}{sin\ x+cos\ x}\\=\frac{1}{cos\ x}[/tex]

1/cos x is equal to sec x.

So,

[tex]\frac{1}{cos\ x} = sec\ x[/tex]

Hence proved ..

Answer:

(5x2)6=60

60

Step-by-step explanation:

Answer:

Let s stand for the amount of money saved.

[tex]2*5(6)=s[/tex]

He saved $60.

[tex]s=2*5(6)=10*6=60[/tex]

P(2 or H) = P(2) + P(H) - P(2 and H)  

What is the probability of getting a 2 P(2)?  = 1/6

What is the probability of getting heads P(H)?  = 1/2

P(2 and H) is the product of those two events since the events are independent. = 1/6 * 1/2 = 1/12

P(2 or H) = P(2) + P(H) - P(2 and H)  

P(2 or H) = 1/6 + 1/2  - 1/12 = 7/12

ANSWER

(Choice A)

-4(3e+4)

EXPLANATION

The given expression is

[tex] - 7 + 3( - 4e - 3)[/tex]

We expand to get:

[tex] - 7 - 12e - 9[/tex]

We regroup the terms to get:

[tex] - 12e - 9 - 7[/tex]

Simplify now to get:

[tex] - 12e - 16[/tex]

We now factor -4 to obtain:

[tex] - 4(3e + 4)[/tex]

The correct choice is A.

The expression simplifies to -16 - 12e. None of the given choices match this expression. Therefore, the correct answer is (C) None of the above.

To determine which expressions are equivalent to -7+3(-4e-3), let's simplify the given expression step-by-step:

Start by distributing the 3:

-7 + 3(-4e - 3) = -7 + (3 * -4e) + (3 * -3)

= -7 - 12e - 9

Now, combine the constants:

-7 - 12e - 9 = -16 - 12e

None of the provided choices are equivalent to -16 - 12e:

Answer:

6 3/5 , 3 4/5, 4/5

Step-by-step explanation:

1) -8 2/5 + 9 1/5 =

-42/5 + 46/5 = 4/5

2) 9 2/5 + (-5 3/5) =

47/5 + -28/5 = 19/5 = 3 4/5

3). 2 1/5 + 2 2/5 =

11/5 + 22/5 = 33/5 = 6 3/5

answer is tile 3 then tile 2 then tile 1

6 3/5 , 3 4/5, 4/5

The expression are arranged in the descending order, that is from largest to smallest as follows:

33/5 > 19/5 > 4/5

The expressions are the combination of various constants numbers and mathematical symbols. They form a meaningful context that is in accordance to the mathematical rules and theories.

The expressions are computed as follows:

Given:

-8 2/5 + 9 1/5

Computation:

={(-8*5)+2}/5 + {(-9*5)+1}/5

=-42/5 + 46/5

= 4/5

Given:

9 2/5 + (-5 3/5)

Computation:

={(9*5)+2}/5 + {(-5*5)+3}/5

=47/5 + -28/5

= 19/5

Given:

2 1/5 + 2 2/5

Computation:

={(2*5)+1}/5 + {(2*5)+2}/5

=11/5 + 22/5

= 33/5

Therefore, the expressions will be arranged in the order; largest to smallest: 33/5 > 19/5 > 4/5

Learn more about expressions, here:

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A diameter is a special type of chord that passes through the center of a circle. It has its endpoints on the circle's circumference, with the center of the circle as its midpoint.

In the field of mathematics, a diameter is indeed a special type of chord. The unique characteristic of a diameter, differentiating it from other chords, is that it must contain the center of the circle - that is the definition finds its completion. As a line segment, a diameter has its endpoints on the circumference of the circle and its middle point is the center of the circle. So, when referring to a diameter, you are essentially talking about the largest chord in a circle that passes through the center.

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Answer:

Slope is 20

y-intercept is 50

Step-by-step explanation:

y=mx+b is slope-intercept form where m is the slope and b is the y-intercept where x and y are the variables.

For your equation the slope is 20 and the y-intercept is 50 where m and y are variables.

The y-intercept is what you initially start with and here that is 50.   The slope is a rate.  So you are getting 20 dollars added per month.

Answer:

7. (4x - 3xy^2 - 2y) / (3x^2y + 2x).

Step-by-step explanation:

Implicit differentiation:

7.  3x^2 y^2 = 4x^2 - 4xy

6x * y^2  +  3x^2 * 2y y' =  8x - 4(x y' + y)

6xy^2 + 6x^2y y' = 8x - 4x y' - 4y

6x^2y y'  + 4x y' = 8x - 6xy^2 - 4y

y' =   (8x - 6xy^2- 4y) / (6x^2y + 4x)

y' =  2(4x - 3xy^2- 2y) / 2(3x^2y + 2x)

= (4x - 3xy^2 - 2y) / (3x^2y + 2x).

Numbers 8 and 9 are done in the same way.

We use the Chain, Product  and Quotient rules where applicable.

the quote for usd/jpy is listed as 119.68/75 as shown. how many japanese yes does it cost to buy 1 U.S. dollar?

Answer:

the correct answer is 119.75

Answer:

the guy above is right

Step-by-step explanation: i took the test and it was

Answer: k=−1,452

Step-by-step explanation:

k/22 x 22 = −66 x22

The value of 'k' can be determined by isolating 'k' in the equation. This results in k = 22 * -66, simplifying to k = -1452.

The equation conveyed in the question can be written as k/22 = -66. To find the variable k's value, we need to isolate k in the equation. This can be done by keeping the inverse operation on both sides of the equation balanced. Since k is currently divided by 22, we must multiply both sides of the equation by 22 to get k independently.

When we do this, the equation becomes k = 22 * -66. Then, solve for k by multiplying 22 and -66 together. So, k equals -1452.

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Answer:

$26.45

Step-by-step explanation:

If Chris lost $5.29 playing poker in one week, in five weeks he would lose $26.45.

$5.29 lost per week.

5 weeks.

$5.29 x 5 = $26.45.

The net loss of Chris after five weeks will be $26.45.

Average value per week: -$5.29
Net loss after five weeks: -$5.29 x 5 = -$26.45

Answer:

Step-by-step explanation:

Carrying out the indicated multiplication, we get

3y - 6 + 6x + 6 - 2 = 0.

Combining like terms, we get 3y = -6x + 2.

Solving for y:  y = -2x + 2/3.

The slope is -2 and the y-inercept is 2/3.

The slope will be -2 and y-intercept will be 8/3.

Slope and y-intercept are key elements of a linear equation. The slope, denoted by b, describes the steepness of a line, while the y-intercept, denoted by a, is where the line crosses the y-axis.

The equation 3(y - 2) + 6(x + 1) - 2 = 0 can be rewritten as 3y + 6x - 12 + 6 - 2 = 0, which simplifies to 3y + 6x - 8 = 0.

To find the slope-intercept form, we can rearrange the equation to y = -2x + 8/3, where the slope is -2 and the y-intercept is 8/3.

Answer:

A) 6x2-2x-10

B) 2m+1n-6

C) 170c-68

Step-by-step explanation:

4x2 + 2x2 = 6x2     5x -7x = -2x     -7 + -3 = -10

8m - 6m = 2m     -2n + 3n = 1n     -4 - 2 = -6

34 x 5c = 170     34 x -2 = -68

Answer:

Step-by-step explanation:

a) (4x2 + 5x - 7) + (2x2 - 7x - 3)

This is an addition question. We have to perform addition

The first step is open the parenthesis/brackets.

4x^2+5x-7 + 2x^2 -7x-3

Arrange the terms according to the exponents:

4x^2+2x^2-7x+5x-7-3

Combine the like terms:

6x^2-2x-10

Thus the answer is 6x^2-2x-10

b)  (8m - 2n - 4) - (6m - 3n + 2)

We have to perform subtraction:

There is a rule in the subtraction that when you open the brackets then the signs of 2nd bracket will be multiplied by the negative sign:

Open the brackets:

8m - 2n - 4 - 6m+3n-2

Arrange the terms:

8m-6m+3n-2n-4-2

Combine the like terms:

2m+n-6

Thus the answer is 2m+n-6

c) (30+4) (5c-2)

This expression shows the operation of multiplication:

Solve the first parenthesis.

(34)(5c-2)

Now multiply 34 by each term of 2nd bracket:

=170c-68

Thus the answer is 170c-68....

Answer:

The total surface area of a rectangular prism is 310 inches

Step-by-step explanation:

The surface area of rectangular prism can be found using formula

Surface Area = 2(lw+hl+hw)

Where l = length

h = height

w = width

We are given:

l = 4

h = 5

w = 15

Putting values in the formula:

Surface Area = 2(lw+hl+hw)

Surface Area = 2((4*15)+(5*4)+(5*15))

Surface Area = 2(60+20+75)

Surface Area = 2(155)

Surface Area = 310 inches

So, The total surface area of a rectangular prism is 310 inches

Answer:

The total surface area of a rectangular prism is 310 inches

Step-by-step explanation:

The surface area of rectangular prism can be found using formula

Surface Area = 2(lw+hl+hw)

Where l = length

h = height

w = width

We are given:

l = 4

h = 5

w = 15

Putting values in the formula:

Surface Area = 2(lw+hl+hw)

Surface Area = 2((4*15)+(5*4)+(5*15))

Surface Area = 2(60+20+75)

Surface Area = 2(155)

Surface Area = 310 inches

So, The total surface area of a rectangular prism is 310 inches

Answer:

The distance between 2 points is √97 or 9.84

Step-by-step explanation:

The distance between two points can be found using distance formula:

[tex]d(x_{1},x_{2})=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

x₁ = -4, y₁ = -2 x₂ =5 and y₂ = 2

Putting values:

[tex]d(x_{1},x_{2})=\sqrt{(5-(-4))^2+(2-(-2))^2}\\d(x_{1},x_{2})=\sqrt{(5+4)^2+(2+2)^2}\\d(x_{1},x_{2})=\sqrt{(9)^2+(4)^2} \\d(x_{1},x_{2})=\sqrt{81+16}\\d(x_{1},x_{2})=\sqrt{97}[/tex]

So, the distance between 2 points is √97 or 9.84

Answer:

  =sqrt(97)

Step-by-step explanation:

The distance between the two points is found by

d = sqrt(( x2-x1)^2 + (y2-y1)^2)

   = sqrt( ( 5--4)^2 + (2--2)^2)

   = sqrt( ( 5+4)^2 + (2+2)^2)

   = sqrt( ( 9)^2 + (4)^2)

  = sqrt( 81 + 16)

  =sqrt(97)

ANSWER

d.

[tex]y = \frac{2}{x} [/tex]

EXPLANATION

A rational function is of the form:

[tex]r(x) = \frac{p(x)}{q(x)} [/tex]

where p(x) and q(x) are polynomial functions and q(x)≠0.

The first option contains the exponential function

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

This disqualifies it from being a rational function.

The second and third options are polynomial functions.

By definition, all polynomials are rational functions.

The last option is a typical rational function because it has at least an asymptote.

The most correct choice is

[tex]y = \frac{2}{x} [/tex]

Both chords are the same distance from the center of the circle ( the 12 inch lines are the same length).

This means that both chords are the same length. The bottom chord has a dimension of 22.5.

B id half the top chord so would be equal to half of 22.5

b = 22.5 / 2 = 11.25

Answer:

C

Step-by-step explanation:

85+92+78+93=348

348/4=87

Answer:

.the answer is 93

Step-by-step explanation:

85 + 92 + 78 + 93= 348

348/4= 87 average