The inequality x + 12x + 35 has two critical points and three possible intervals for solutions. Choose


each set of possible test points for the three intervals.


-8,-6,4


-10, -6,0


-6,0,6


-6,0, 10

Answer:8

Step-by-step explanation:They said f(x)=x2–4 and they said find the value of f(x) when x=6

When x=6 you equate the value of x into the question

F(6)=6*2–4=8

Therefore the value of f(x) is 8

Answer:

D) the system has no solution.

Step-by-step explanation:

A student is solving a system of equations by substitution and comes up with the solution -3=2.

So, the unknown variables are canceled out and there are only numbers in the equation but -3 ≠ 2.

If we assume that she solved the problem correctly, then there will be no solution for that system of equations because there is no variable remaining in the final equation to solve for. (Answer)

Answer:

1. Triangle or trapezoid.

2. A line

3. Circular

4. Triangular.

Step-by-step explanation:

1. The cross-section of a cone that is perpendicular to the base either of a shape of a triangle or a trapezoidal shape.

If we make the cross-section along the diameter of the base circle then the cross-section will be a triangle and otherwise, it will be of trapezoidal shape.

2. The cross-section of a rectangle that is perpendicular to the base is line only because a rectangle is a two-dimensional shape and if we cut it perpendicularly to the base it will give a line.

3. The cross-section of a cylinder that is parallel to the base is a circle only.

Because the shape of a cylinder is constantly circular along the vertical axis.

4. The cross-section of a triangular prism that is parallel to the base is a triangle only.

Because the shape of a triangular prism is constantly triangular along the vertical axis. (Answer)

Answer:

y = 9[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex]

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{9}{y}[/tex]

Multiply both sides by y

y × sin45° = 9, that is

y × [tex]\frac{1}{\sqrt{2} }[/tex] = 9

Multiply both sides by [tex]\sqrt{2}[/tex]

y = 9[tex]\sqrt{2}[/tex]

Answer: ?=9

                √2

Step-by-step explanation:

x=9 =a side of squre

y=diagonal

use equation :

y=a√2

y=9√2

y=12.69

Answer:

4 : 25

Step-by-step explanation:

Given the ratio of sides = a : b, then

ratio of areas = a² : b²

Thus

ratio of sides = 2 : 5, then

ratio of areas = 2² : 5² = 4 : 25

Answer:

2 sheets of plywood will be needed.

Step-by-step explanation:

See the attached diagram.

Each three square plywood has area 1 units by 3 units = 4 feet by 12 feet = 48 feet square.  {Since each unit on the coordinate plane represents four feet}

Now, the two triangular plywood has area half of a unit square area.

So, two triangular plywood has total area = 1 unit by 1 unit = 4 feet by 4 feet = 16 feet square.

Therefore, the total area of plywood required to make the triangular prism is (48 + 16) = 64 feet square.

Now, if a sheet of plywood measures 4 ft by 8 ft i.e. 32 feet square, then the carpenter will need [tex]\frac{64}{32} = 2[/tex] such sheets of plywood. (Answer)  

Answer:A

Step-by-step explanation: HI

Answer:

Step-by-step explanation:

Price of a hotdog = $0.86

An equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.

For example, 2x – 5 = 13.

Here,

2x – 5 and 13 are expressions.

The sign that connects these two expressions is “=”.

Given,

2 burgers and 1 hotdog cost = $4.82

1 burger and 2 hotdogs cost = $ 3.70

The price is same

Let the price of burger be x and price of hotdog be y

then,

2x + y = 4.82   ---------(a)

x + 2y = 3.70  

Multiplying 2 in above equation

2x + 4y = 7. 40  -----------(b)

Subtracting equation (a) from equation (b)

2x + 4y - (2x+y) = 7.40 - 4.82

2x + 4y -2x -y = 2.58

3y = 2.58

y = 2.58/3

y = 0.86

Price of hotdog = $0.86

Hence, a hotdog costs $0.86.

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Answer:

an-1-9

25n-1-9

25n-10=0

25n=0+10

25n=10

divide both sides by 25

25n/25 =10/25

n=2/5

Step-by-step explanation:

Answer:

n=1.4

Step-by-step explanation:

given  a=25

a=an-1-9..............(1)

put a=25 in equ (1)

25=25n-1-9

25=25n-10

25n=25+10=35

n=[tex]\frac{35}{25}[/tex]=1.4

n=1.4   answer

Answer:

27

Step-by-step explanation:

Answer:

if fg(x)=6x+q

then f(gx) =6x+q

3(px+4)+p =6x+q

3px+12+p = 6x+q

3px+p = 6x+q-12

make p the subject

p( 3x+1) = 6x+q-12

p= (6x + q -12 )/ 3x +1

Answer:

p = 2 and q = 14

Step-by-step explanation:

f(g(x)) = 3(px + 4) + p

f(g(x)) = 3px + 12 + p

6x + q = 3px + 12 + p

The trick here is to equate the coefficients.

6 = 3p and q = 12 + p

p = 2 and q = 14

The inequality l + c ≥ 14 accurately represents the minimum total hours Jackson must work in both his jobs, landscaping and clearing tables, in a week.

The subject of this question is Mathematics, more specifically it involves the topic of inequalities. The grade level of this question would be high school as it deals with algebraic concepts.

The inequality that represents the number of hours that Jackson can work in a given week in landscaping (l) and clearing tables (c) would be l + c ≥ 14. This inequality allows for the total number of hours worked to be equal to or more than 14, as stipulated in the conditions.

This represents the total amount of hours Jackson can work in both jobs simultaneously. This inequality is valid as long as he works at least 14 hours, in total, from both jobs.

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Answer:

1. New York City: The initial charge is $ 2.50 plus $ 0.50 per 1/5 mile when traveling above 12 mph or per 60 seconds in slow traffic or when the vehicle is stopped. There are other surcharges for overnight, rush hour or congestion.

2. Boston: First 1/7 Mile: $2.60  and each 1/7 Mile thereafter: $0.40.

3. Houston: First 1/11 mile  $2.80 , each additional 1/11 mile  $0.20 . Rate per mile after first mile  $2.20 and wait time per minute  $0.40.

Step-by-step explanation:

Normally, there's a standard fare for each city, so for answering the question we picked three well-known cities for comparing the fares.

1. New York City: The initial charge is $ 2.50 plus $ 0.50 per 1/5 mile when traveling above 12 mph or per 60 seconds in slow traffic or when the vehicle is stopped. There are other surcharges for overnight, rush hour or congestion.

2. Boston: First 1/7 Mile: $2.60  and each 1/7 Mile thereafter: $0.40.

3. Houston: First 1/11 mile  $2.80 , each additional 1/11 mile  $0.20 . Rate per mile after first mile  $2.20 and wait time per minute  $0.40.

Answer:

[tex]\displaystyle y = -4x[/tex]

Step-by-step explanation:

0 = 0 ± b

[tex]\displaystyle 0 = b \\ \\ y = -4x[/tex]

* Parallel Lines have SIMILAR RATE OF CHANGES [SLOPES], so −4 remains the way it is.

I am joyous to assist you anytime.

Heyo! ;D

The equation in slope-intercept form that represents a line that is parallel to y = -4x - 5 and passes through the point (0,0) would be Option C) y = -4x.

Hope this helps! If so, please lmk! Tysm!

Answer:

The maximum number of packages that can be made  with each package have same number of each item is = 6

Step-by-step explanation:

Given:

Mr. Harris has 48 pencils and 30 notebooks.

To find the number of packages he can make with each package have same number of each item.

Solution:

Number of pencils = 48

Number of notebooks = 30

In order to find the number of packages he can make with each package have same number of each item, we will find the greatest common factor of the given numbers.

To find the G.C.F., we will list down the prime factors of each.

[tex]48=2\times 2\times 2\times 2\times 3[/tex]

[tex]30=2\times 3\times 5[/tex]

We find that the G.C.F. = [tex]2\times 3[/tex] = 6

Thus, the maximum number of packages that can be made  with each package have same number of each item is = 6

The question is incomplete, here is the complete question:

You and your friend are selling magazine subscriptions. You sell 8 fewer magazine subscriptions than your friend. Together you sell 42 magazine subscriptions. Write a system of linear equations that represents this situation.

The system of linear equations that represents this situation is:

x + y = 42

x - y = 8

Step-by-step explanation:

To solve the problem assume that

∵ Your friend sells x magazine subscriptions

∵ You sell y magazine subscriptions

∵ Together you sell 42 magazine subscriptions

∴ x + y = 42 ⇒ (1)

∵ You sell 8 fewer magazine subscriptions than your friend

∵ Your friend sells x magazine subscriptions

∵ You sell y magazine subscriptions

- That means y = x - 8

∴ y = x - 8

- Add 8 for both sides

∴ 8 + y = x

- Subtract y from both sides

∴ 8 = x - y

- Switch the two sides

∴ x - y = 8 ⇒ (2)

The system of linear equations that represents this situation is:

x + y = 42

x - y = 8

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Answer:

Step-by-step explanation:

m∠1 = 50°

m∠2 = 88°

Step-by-step explanation:

Each triangle's angles have to add up to 180°. Use supplementary angles theorem to help solve.

Answer:

m∠1 = 50°

m∠2 = 88°

Step-by-step explanation:

Each triangle's angles have to add up to 180°. Use supplementary angles theorem to help solve.

To round the fraction 14/27 to the nearest one-half, the answer would be 0 (choice A).

To round the fraction to the nearest one-half, we need to determine if the fraction is closer to zero, one-half, or one. Start by identifying which two one-half intervals the fraction falls between: 13/27 (closer to zero) and 15/27 (closer to one-half). As 14/27 is closer to 13/27, the answer is A. 0.

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Answer:

Assuming the group of the candidates is ordered the same way as the votes they received, Margaret O'Conner received the MOST votes, at 12,926, while Leonard Hansen received the LEAST votes, at 12,409.

Answer: the person on the left

Step-by-step explanation:

by taking 20% off of the total cost first they are getting the better deal.

The customer gets a better deal from the cashier on the left. Explanation on determining the better deal between two cashiers based on how they apply discounts.

To determine who is getting the better deal, let's compare the total bill after discounts for both cashiers:

Cashier on the left: 20% off, then subtract $10

Cashier on the right: Subtract $10 first, then 20% off

Example Calculation:

If the total bill is $100:
Left cashier: $100 - 20%($100) = $80, then $80 - $10 = $70
Right cashier: $100 - $10 = $90, then 20%($90) = $18, so $90 - $18 = $72

In this scenario, the customer gets a better deal from the cashier on the left.

Hudson: T = 200n + 2500

Kennedy: T = 250n + 2000

im no math teacher but i do a ton of questions like these, hope this helps

The equation for Mike job which represents the relationship between T and n for Hudson cars is $2500+$200n and for Kennedy used cars is $2000+$250n.

A linear equation is the equation in which the highest power of the unknown variable is one.

Mike wants a job as car salesmen. He receives two job offers.Let T represent the total monthly earning, in dollars, and let n represent the number of cars sold in a month.

Hudson's cars dealership offers Mike a salary of $2500 per month, plus a commission of $200 on every car he sells. Then the equation for this company is,

[tex]T=2500+200n[/tex]

Kennedy used cars dealership offers Mike a salary of $2000 per month, plus a commission of $250 on every car he sells. Thus, he equation for this company is,

[tex]T=2000+250n[/tex]

Hence, the equation for Mike job which represents the relationship between T and n for Hudson cars is $2500+$200n and for Kennedy used cars is $2000+$250n.

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Pat will bounce the ball 125 times in 150 seconds

Solution:

Given that,

Pat bounces a basketball 25 times in 30 seconds

To find: Number of times Pat will bounce the ball in 150 seconds

From given information,

30 seconds = 25 times

Therefore number of times ball bounces in 1 second is:

[tex]\text{1 second } = \frac{25}{30} \text{ times }[/tex]

So to find for 150 seconds, multiply both the sides by 150

[tex]150 \text{ seconds } = \frac{25}{30} \times 150 = 125 \text{ times }[/tex]

Therefore Pat will bounce the ball 125 times in 150 seconds

Answer:

125

Step-by-step explanation:

Answer:

(a) The equation is [tex]7h-2=56[/tex].

(b) Trey gets approximately $8.29 for each hour of work.

Step-by-step explanation:

Given:

Number of hours Trey works = 7

Amount of money he put aside for mom = $2

Total Amount he keeps each day = $56

We need to find the amount he gets for each hour.

Let 'h'  represent the amount (in dollars) Trey gets paid each hour.

Solving for part (a).

We need to write the equation to find the amount he gets paid for each hour.

Now we can say that;

Total Amount he keeps each day is equal to Number of hours Trey works multiplied by the amount he gets paid for each hour minus Amount of money he put aside for mom.

framing in equation form we get;

[tex]7h-2=56[/tex]

Hence the equation is [tex]7h-2=56[/tex].

Solving for part (b).

we need to solve the above equation to find the amount he gets paid for each hour.

On solving the equation we get;

Adding both side by 2 we get

[tex]7h-2+2=56+2\\\\7h=58[/tex]

Now Dividing both side by 7 using Division Property we get;

[tex]\frac{7h}{7} = \frac{58}{7}\\\\h \approx \$8.29[/tex]

Hence Trey gets approximately $8.29 for each hour of work.

Answer:

Mixed number equation equals to 10=[tex]9\frac{9}{9}[/tex]

Step-by-step explanation:

Here we have to find mixed number equation that equal 10,

Let, x=10 ------------(equation 1)

Now multiplying both side of equation 1 by 10 we get,

[tex]x\times 10=10\times 10[/tex]

[tex]10x=100[/tex] ------------------(equation 2)

Now by subtracting equation 1 from equation 2 we get,

[tex]10x-x=100-10[/tex]

[tex]9x=90[/tex]

[tex]\therefore\ x=\frac{90}{9}[/tex] ------------------(equation 3)

Equation 3 can be written as,

[tex]x=9\frac{9}{9}[/tex]

Since, [tex]9\frac{9}{9} [/tex]

[tex]= \frac{(9\times 9)+9}{9}[/tex]

[tex]=\frac{81+9}{9}[/tex]

[tex]=\frac{90}{9}[/tex][/tex]

[tex]\therefore 9\frac{9}{9}=\frac{90}{9}[/tex]

Therefore mixed number equation that equals 10=[tex]9\frac{9}{9}[/tex]

Answer:

4 pictures

Step-by-step explanation:

(6/7)/(3/14)=x/1

cross product

3/14*x=6/7*1

3/14x=6/7

x=(6/7)/(3/14)

x=(6/7)(14/3)

x=(6/1)(2/3)

x=12/3

x=4

The number of pictures which Karli and her friend can paint in a full hour is equal to 4 pictures.

What is algebra ?

Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.

It is given that Karli and her friend can paint 6/7 of a picture in 3/14 of an hour.

Let's assume they can paint x number of pictures in a full hour.

So , the fraction by dividing 6/7 by 3/14 can be written equal to x .

i.e.,

[tex]\frac{6/7}{3/14}[/tex] = x

We need to do the cross product here :

[tex]\frac{3}{14}[/tex] × x = [tex]\frac{6}{7}[/tex]

or

x = ([tex]\frac{6}{7}[/tex]) ÷ ([tex]\frac{3}{14}[/tex])

We know that when dividing two fractions we need to change the division sign to multiplication sign by inverse the fraction value right to the division sign i.e.,

x = ([tex]\frac{6}{7}[/tex]) × ([tex]\frac{14}{3}[/tex])

x = 84 / 21

x = 4

Therefore , the number of pictures which Karli and her friend can paint in a full hour is equal to 4 pictures.

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Answer:

On this case if we analyze both slopes, we see that function 2 has a greater rate of change because have a slope greater on absolute value than the slope for Function 1 (|-5|>|4|). No matter if the sign is positive or no we are analyzing the rate of change and for this case we need to use the absolute value to find the solution.

Step-by-step explanation:

Assuming the following two functions:

Function 1: y = 4x + 8

Function 2:  

x y

2 20

4 10

6 0

We can find the slope for the second function like this:

[tex]m =\frac{10-20}{4-2}=-5[/tex]

And in order to find the intercept we can use any point for example (2,20) and we got:

[tex]20 =-5(2) +b[/tex]

And then [tex] b=30[/tex]

So our function 2 is given by: [tex] y =-5x +30[/tex]

On this case if we analyze both slopes, we see that function 2 has a greater rate of change because have a slope greater on absolute value than the slope for Function 1 (|-5|>|4|). No matter if the sign is positive or no we are analyzing the rate of change and for this case we need to use the absolute value to find the solution.

Answer:

B On 2020 edge

Step-by-step explanation:

To find the total number of cookies burnt in the day, which is the whole, we would use the formula 'whole = part / percentage', or 'whole = 439 / 0.25', which gives us 1756 cookies.

The subject of this question is Mathematics, specifically it's a problem on percent. The problem states that 439 cookies represented 25% of all the cookies the employee burnt that day. The question asks us to find the total number of cookies burnt by using this information.

When trying to find the whole from a percent, you can use the formula: whole = part / percentage. In this case, 'part' refers to the 439 cookies, and 'percentage' is 25% expressed as a decimal (0.25).

Using the formula, we find that the total (whole) number of cookies burnt is: whole = 439 / 0.25 = 1756 cookies. So, the new employee burnt 1756 cookies in the course of the day.

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Answer:

-4,5

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is given that The chance, that a student will pass the statistic course is [tex]\frac{70}{100}[/tex]

Hence, The chance that a student will fail in the statistic course is [tex]\frac{100 - 30}{100} = \frac{30}{100}[/tex]

Any 2 students from the total of 5 students can be choosen in [tex]^{5}C_2 = \frac{5!}{3! \times2!} = 10[/tex] ways.

Hence, the probability will be [tex]10\times [\frac{70}{100}] ^{2} \times[\frac{30}{100} ]^{3} = \frac{49\times27}{10000} = \frac{1323}{10000}[/tex]

Final answer:

The probability that exactly two students will pass the statistics course is approximately 30.87%.

Explanation:

To find the probability that exactly two students will pass the statistics course, we can use the binomial probability formula. The formula is:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

In this case, n = 5 (number of students), k = 2 (number of students passing), and p = 0.7 (probability of passing).

Plugging in these values, we get:

P(X = 2) = C(5, 2) * 0.7^2 * (1 - 0.7)^(5 - 2)

Calculating, we find that P(X = 2) ≈ 0.3087, or approximately 30.87%.

Answer:

4π

Step-by-step explanation:

Period is whenever a wave repeats itself. I highlighted the period.

The Period of the given function is 0 to 4π.

The time interval between two waves is known as a Period whereas a function that repeats its values at regular intervals or periods is known as a Periodic Function.

Here, graph starts from 0 and goes down. After π our graph starts increasing and acheive maximum at 3π and then start coming down to y = 0 at 4π.

It means that from 0 to 4π graph complete its one cycle and in the same trend it start repeating again.

Thus, the Period of the given function is 0 to 4π.

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