Dani decides to add the cost of each shirt and the cost of each bag together, and then multiply by seven to find the total cost. Write an algebraic expression for the total cost of the gifts using Dani’s method. Remember, use t and b as your variables. (3 points)

The interval at which the function x³ + 3x² - 4x - 12 increases is

x ∈ (- ∞, - 2.5) ∪ (0.5, ∞).

We have,

x³ + 3x² - 4x - 12

We need to draw a graph to see at which interval the graph is increasing.

The graph is given below.

We see that the graph is increasing from x = -∞ to x = -2.5 and from  x = -2.5 it decreases till x = 0.5 and again from x = 0.5 it increases to x = ∞.

So we can write the interval as:

x ∈ (- ∞, - 2.5) and  x ∈ (0.5, ∞)

We can write it as one single interval as:

S = (- ∞, - 2.5) ∪ (0.5, ∞)

Thus the interval at which the function x³ + 3x² - 4x - 12 increases is

x ∈ (- ∞, - 2.5) ∪ (0.5, ∞).

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Answer:

hi can we talk for a while I'm a little alone

Answer:

169,578$

Step-by-step explanation:

If you divide 2 million 5 hundred and 43 thousand 6 hundred and 66 by 15, the answer you would get would be 169,577.733333 (digit 3 goes on and on), but the question says we would need to round it to the nearest dollar. Therefore, the answer is 169,578$!!!

Answer:(0,4)

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Suppose i want a 2 digit number and i specifically want it to be even okay, and it can only contain the numbers, 245 and 8 point well in order for it to be even the end would have to be 248 right. An even number. The last digit is divisible by 2 or it even so, there's 3 possibilities here. My question is: can my numbers repeat there's nothing that says my numbers can't repeat so: im gonna some they can so i could use 2 twice, 4 twice and so on and so for, but i can only use 5 once and there's 5 other possibilities here. So 4 possibilities for the first digit 3 possibilities for the second. I'M gonna multiply these together: 4 times 3 there's a total of 122 digit numbers.

The two values of y after factorizing the given quadratic equation are 0, -0.5

The given equation is quadratic as the order of the equation is 2. In a quadratic equation with a single variable, the variable will have two different values which satisfy the equation. These values of the variable can be real and different, real and equal, or imaginary.

So, there will be two values of y.

Consider the given equation,

10y^2 + 12y = 7y

10y^2 +12y - 7y = 0

10y^2 + 5y = 0

Since the coefficients of y and y^2 are both multiples of 5,

5*(2y^2 + y) = 0

2y^2 + y = 0

Taking y as a common factor,

y*(2y+1) = 0

Now, we get two cases,

y = 0 or 2y + 1 = 0 => y = -(1/2) = -0.5

Therefore, y = 0 or y = -0.5

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Answer: $466.

Step-by-step explanation:

Add all the numbers in the graph together, you get 194.

Now, subtract 194 from 660, you get 466. That's how much profit the company makes.

The required generated profit on iPhone 4s is given as $466.2.

The cost price is defined as the is the price of producing something while the selling price is the amount that the buyer pays.

Here,
As of the mentioned data,
Cost of making an iPhone = $193.8
The selling price of the iPhone = $660

Profit is meant how much money is generated from the product besides the product cost price.
Profit  = selling price - cost price
Profit= 660 - 193.9
Profit = $466.2

Thus, the required generated profit on iPhone 4s is given as $466.2.

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Few friends want to visit the amusement park. They can only spend a total of $325 on parking and entrance. Tickets are $39 per person, tax included, and parking is $13. Create and resolve an inequality that may be used to calculate p, the maximum number of visitors to the theme park.

the maximum number of visitors to the theme park p=14.

Given that few friends want to visit the amusement park .

They are limited to spending $325 for parking and admission.

Tickets are $39 per person, tax included, and parking is $13.

We have to find the the maximum number of visitors to the amusement park p.

We can write as $13+$39p[tex]\leq[/tex]$325

$39p[tex]\leq[/tex]$325-$13

p[tex]\leq[/tex]14

Therefore, the maximum number of visitors to the amusement park p=14.

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The items that you can add with not breaking the weight limit are:

The hair dryer, the souvenir, the boots, the boots and the souvenir, and the hair dryer and the souvenir.

The maximum weight allowed is 50 pounds, and you already have 44.9 pounds, then the weight you can add is:

50lb - 44.9lb = 5.1lb

Now, the items that you have are:

2.5 lb hair dryer.

1.3 lb souvenir.

3.6 lb pair of boots.

The only things that you can't add together are the hair dryer and the boots, because the weight adds up to:

2.5lb + 3.6lb = 6.1lb

Which is more than the 5.1lb left that you have.

Obviuously, you can't take the 3 items.

Then you can add:

The hair dryer, the souvenir, the boots, the boots and the souvenir, and the hair dryer and the souvenir.

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Using the relation between velocity, distance and time, it is found that a rate of 102 km/h is needed for the rest of the trip to achieve the desired rate for the entire trip.

Velocity is distance divided by time, that is:

v = d/t.

For the first 120 km, the rate is of 90 km/h, hence the parameters are given as follows:

d = 120, v = 90.

Hence the time is given by:

90 = 120/t1

t1 = 120/90

t1 = 1.33 hours.

For the second part of the trip, the parameters are given as follows:

t = 1.25, v = 64.

The time is 1.25 hours because 15 minutes is one fourth(15/60) = 0.25 of an hour.

Hence the distance found as follows is:

64 = d/1.25

d = 1.25 x 64

d = 80

The distance for the first two parts is given by:

120 + 80 = 200 km.

This is equivalent to 7/8 of the trip, hence the total distance is:

7/8d = 200

d = 200 x 8/7

d = 228.57 km.

For a rate of 80 km, we have that the time has to be of:

80 = 228.57/t

t = 228.57/80

t = 2.86 hours.

The time of the first two parts is:

1.33 + 1.25 = 2.58 hours.

2.86 - 2.58 = 0.28 hours.

Hence the last 228.57 - 200 = 28.57 km have to be traveled in 0.28 hours, for a rate of:

v = 28.57/0.28 = 102 km/h.

A rate of 102 km/h is needed for the rest of the trip to achieve the desired rate for the entire trip.

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Answer:

There are 12 tigers and 36 elephants.

Step-by-step explanation:

If the ratio of tigers to elephants is 1 to 3, that means that the total would be 4,

so 1/4 of the total would be tigers and 3/4 of the total would be elephands.

1/4 x 48 is 12

and

3/4 of 48 = 36

Answer:

x≤1

Step-by-step explanation:

for the two given fractions 3/4 and 1/6 we have:

Here we have two fractions, 3/4 and 1/6, and we want to find the sum, product, and quotient between them.

First let's do the sum:

3/4 + 1/6

We just need to find a common denominator, which can be 12, so we can rewrite it as:

9/12 + 2/12 = 11/12

The sum of the two fractions is 11/12

Now the product, it is, we multiply denominator with denominator and numerator with numerator, we will get:

(3/4)*(1/6) = (3*1)/(4*6) = 3/24 = 1/8

The product between the two fractions is equal to 1/8.

Finally, the quotient, this is:

The product between the first numerator and second denominator, and between the first denominator and second numerator, so the quotient becomes:

(3/4)/(1/6) = (3/4)*(6/1) = (3*6)/(4*1) = 18/4 = 9/2

Then we conclude that for the two given fractions 3/4 and 1/6 we have:

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Hey there!

(78 - x) + (84 - 3x)

= 78 - x + 84 - 3x

= 78 - 1x + 84 - 3x

= (78 + 84) - (1x - 3x)

= (78 + 84) - (x - 3x)

= (1x - 3x) + (78 + 84)

= (x - 3x) + (78 + 84)

= x - 3x + 78 + 84

= -4x + 162

Therefore, your answer should be:

-4x + 162

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The gestation period of humans ​ is​ 309.23% percent longer than the gestation period of dogs.

Percentage is the fraction out of an amount that is expressed as a number out of hundred. Percentage is a measure of frequency. The sign used to represent percentages is %. In order to convert a number to percentage, express the number as a fraction and multiply by 100.

Percent of gestation period = (difference in the gestation period of dogs and humans / gestation period of humans) x 100

[(266 - 65) / 56] x 100

(210 / 65) x 100 = 309.23%

A second method :[ (gestation period of humans / gestation period of dogs) - 1] x 100

[(266 / 65) - 1] x 100 = 309.23%

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0.95X -0.55X+10-62 ... Step 1: Find Roots solution. X=-4. X = 3. Step 2: Graph ... Write the Domain and Range of the function. Positive.

Answer:

The better deal is 1 cookie for 42 cents

Step-by-step explanation:

We need to find the price of 1 cookie when the cookies are 8 for 3.44

Divide the total price by the number of cookies

3.44/8

.43

We can get 1 cookie for 42 cents  or 1 cookie for 43 cents

The better deal is 1 cookie for 42 cents because it is less money.

Han llenaría 8 tazas con jugo de naranja porque si tomas la mitad de 1 taza de jugo de naranja puedes hacer 2 tazas ahora haz eso 4 veces y obtendrás 8 tazas de jugo de naranja

The total cost functions are:

total charges for Hertz=32+42x

total charges for Enterprise=24+46x

What does the total rental cost of each company entails?

The total rental cost of each company consists the fixed service charges and the daily charge which can be multiplied by the total of number of days of rental to determine total charges overall.

Hertz:

total charges=32+42x

when x=6 days

total charges=32+(42*6)

total charges=$284

Enterprise:

total charges=24+46x

when x=6 days

total charges=24+(46*6)

total charges=$300

Renting for 4 days:

total charges(Hertz)=32+(42*4)

total charges(Hertz)=$200

total charges(Enterprise)=24+(46*4)

total charges(Enterprise)=$208

savings=$208-$200

savings=$8

The company that charges less when Avery decides to rent car for only 4 days is Hertz and Avery can $8 as result of choosing Hertz

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The inequality to represent the given situation is W≤1500.

Given that, the maximum load in a freight elevator is 1500 lb let W equal the weight in the elevator.

We need to write an inequality to describe the allowable weight in the elevator.

Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Now, W≤1500

Therefore, the inequality to represent the given situation is W≤1500.

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Answer:

Step-by-step explanation:

Write equation in point slope form:

y - y1 = m(x - x1), where m is slope and (x1,y1) is a point on the line

Here m = 1/4 and (x1,y1) = (0,-6)

y--6 = 1/4(x - 0)

y+6 = 1/4x

in slope-intercept form

y = 1/4x - 6

to find x-intercept, substitute 0 for y and solve for x

to find y-intercept, substitute 0 for x and solve for y

If Benjamin has 25 papayas, given the ratio of papayas to pears as 50:94, he has 47 pears.

The ratio is the numerical relationship that one variable has when compared with another.

The ratio has the same meaning as proportion.

Ratios are represented in percentages, decimals, fractions, or with the ratio sign (:).

Another way to calculate it is to examine the ratio against the number of papayas he has.

Benjamin has 25 papayas, which is half of 50 (25/50).  This means he has half of the pears, which is 47 (94/2).

Papayas = 25

The ratio of papayas to pears = 50:94

For every 50 papayas Benjamin has, he has 94 pears.

The number of pears he has = 47 (25/50 x 94)

Thus, if Benjamin has 25 papayas, given the ratio of papayas to pears as 50:94, he has 47 pears.

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The area of the given circle is 36.298 cm square.

Here, we are given that f is the function that determines the area of a circle (in square cm) that has a radius of r cm.

The area of a circle is given the the formula as follows-

area of a circle = πr^2

⇒ f(r) = πr^2

The value of π is approximately 3.14

⇒ f(r) = 3.14r^2

Now, we are given that the radius of a circle is 3.4 cm.

Thus, its area will be-

f(3.4) = 3.14 × 3.4 × 3.4

= 3.14 × 11.56

= 36.298

Thus, the area of the given circle comes out to be 36.298 cm square.

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Answer:

An equivalent numerical expression with whole-

number exponent using these laws can be written as:

1) 2² × 2³ = 2^5     => using product of Powers

2) 2² × 3² = (2×3)² = 6²      => using power of a Product

3) (2²)³ = 2^6      => using power of a power

Step-by-step explanation:

First of all, let us understand some terms like;

1) Exponentiation: It is the mathematical process of raising one integer to the power of another. The base is the first integer, while the exponent is the second.

2) Power: A power is a phrase that depicts the same component being multiplied repeatedly.

3) Exponent: The number of times the base is used as a factor is represented by the exponent.

Now, let us understand the 7 Laws of Exponents;

1) a^m × a^n = a^(m+n)   => Product With the Same Bases

2) a^m / a^n = a^(m-n)    => Quotient with Same Bases

3) (a^m)^n = a^(m×n)    => Power Raised to a Power

4) a^n × b^n = (ab)^n    => Product to a Power

5) a^n / b^n = (a/b)^n    => Quotient to a Power

6) a^0 = 1     => Zero Power

7) a^(-m) = 1/a^m    => Negative Exponent Rule

Furthermore, an equivalent numerical expression with whole-

number exponent using these laws can be written as:

1) 2² × 2³ = 2^5     => using product of Powers

2) 2² × 3² = (2×3)² = 6²      => using power of a Product

3) (2²)³ = 2^6      => using power of a power

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Answer:

  (c)  inconsistent equation

Step-by-step explanation:

You want to know if the equation -6x+6x-6=2-5 is an identity, conditional, or inconsistent.

The simplified equation, after combining like terms, is ...

  -6 = -3

This is an "inconsistent" equation, always false.

Answer:

One geranium is $3

Step-by-step explanation:

Let r = roses and g = geraniums

14r + 8g = 122

12r + 12g = 120

Multiply first equation by -3 and the second by 2 (we are trying to get terms that cancel when we add the two equations)

-42r - 24g = -366

+24r + 24g = 240

Add

18r = 126

r = 7, so one rose is $7

Put this into either of the original equations

14(7) + 8g = 122

98 +8g = 122

8g = 24

g = 3, so one geranium is $3

Answer:2

Step-by-step explanation:

[tex]\frac{14}{5} -5[/tex]

Divide 14 by 2 to get 7.

7−5

Subtract 5 from 7 to get 2.

Answer=2