Calculus help please

Answers

Answer 1

Step-by-step explanation:

THE POINT WHERE

[tex]f( - 4) = ( { - 4})^{2} + 1 \\ f( - 4) = 16 + 1 \\ f( - 4) = 17[/tex]

Now we have point (-4,17)

the gradient of the tangent line at that point of f(x) is the first derivative f'(x)=2x at that point

f'(x) =m

f'(-4)=2(-4)

f'(-4)=-8

The gradient therefore is -8

the general equation of a straight line is given by

[tex]y = mx + c \\ 17 = ( - 8)( - 4) + c \\ 17 = 32 + c \\ c = 17 - 32 \\ c = - 15 \\ \\ y = - 8x - 15[/tex]

HOPE THIS HELPS!!

Related Questions

when w=3 , x=2 , y= -4 , z= -2

wx/2 +y

Answers

Answer:

=-1

Step-by-step explanation:

3x2/2 + -4

6/2 + -4

3 + (-4)

=-1

Answer:

-1

Step-by-step explanation:

Brackets

Indicies

Division

Multiplication

Addition

Subtraction

3 × 2/2 + -4

no brackets. no indicies.

Division

2/2 = 1

3 × 1 + -4

Multiplication

3 × 1 = 3

Addition

3 + -4 = -1

Rearrange Vf^2=Vi^2+2aX for Vi

Answers

Making Vi the subject of formula gives the following expression: Vi = √(Vf² - 2aX).

What is an expression?

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

How to make Vi the subject of formula?

In this exercise, you're required to describe the steps that should be taken to rearrange and make Vi the subject of formula. Therefore, the appropriate and required steps are listed as follows:

Vf² = Vi² + 2aX

Subtracting 2aX from both sides of the equation, we have:

Vf² - 2aX = Vi² + 2aX - 2aX

Vi² = Vf² - 2aX

Taking the square root of both sides, we have:

Vi² = Vf² - 2aX

Vi = √(Vf² - 2aX)

Read more on subject of formula here: https://brainly.com/question/28418118

#SPJ1

Need it fast
The number 48 is the least common multiple of which set of numbers?
9 and 16
10 and 16
16 and 24
9 and 24

Answers

Answer: the answer to your question is 16 and 24

Please look at ALL of the screenshots and answer correctly! 20 points that's half of all of mine<: there will be another half with it!!!! the link to it is https://brainly.com/question/28634975?answeringSource=feedPublic%2FhomePage%2F21

Answers

Answer:

1. 13^5

2. prime

3. 8

4. 13

5. 6

Please help ASAP
What is the prime factorization of 90?

2 × 3 × 5
2 × 3 × 5

2 × 2 × 3 × 5
2 × 2 × 3 × 5

2 × 3 × 3 × 5
2 × 3 × 3 × 5

2 × 5 × 9

Answers

Answer:

the prime factorizime of 90 is this 2 × 3 × 3 × 5 or 2 × 3² ×5

question 3 consider a certain type of nucleus that has a decay rate constant of 0.0250 min-1. calculate the time required for the sample to decay to one-fourth of its initial value.

Answers

Answer:

since the decay rate constant of0.0 250 min.

hence the time required for the sample to decay to one forth of it's initial value is

Step-by-step explanation:

Answer:

Step-by-step explanation:

State the minimum monthly income and hourly wage per worker needed to cover monthly expenses for the family you used in part a. Then, explain how to calculate the hourly wage based on the monthly income and state the hourly wage. Assume that each full-time worker works four 40-hour work weeks per month, and each part-time worker works two 40-hour weeks per month.
(Please Answer with good details)

Answers

Answer:

Full-time worker minimum monthly income = US$ 7,846.40

Part-time worker minimum monthly income = US$ 7,846.40

Full-time worker hourly wage = US$ 49.04

Part-time worker hourly wage = US$ 98.08

Step-by-step explanation:

1. Let's review the information given to answer the question correctly:

Monthly costs of a 2-adult and 3-children family in the Modesto metro area = US$ 7,846

Full-time worker = 4 weeks of 40-hour per month

Part-time worker = 2 weeks of 40-hour per month

2. Let's calculate the minimum monthly income and hourly wage per worker

Full-time worker hourly wage = Monthly costs/160

Part-time worker hourly wage = Monthly costs/80

Full-time worker hourly wage = 7,846/160

Part-time worker hourly wage = 7,846/80

Full-time worker hourly wage = US$ 49.04

Part-time worker hourly wage = US$ 98.08

Full-time worker minimum monthly income = Hourly wage * 160

Part-time worker minimum monthly income = Hourly wage * 80

Full-time worker minimum monthly income = US$ 7,846.40

Part-time worker minimum monthly income = US$ 7,846.40

a drug company wanted to test a new weight reduction medication. researchers identified 500 adults from the age of 30 to 40 and randomly assigned them to two groups. the first group received the medication and the second group received a placebo. after 6 weeks the percentage of each group who lost more than five pounds was recorded and compared. what type of experimental design is this?

Answers

The drug company uses the Pre experimental design to test a new weight reduction medication.

Experimental Design:

Experimental design refers to how participants are allocated to the different groups in an experiment. Types of design include repeated measures, independent groups, and matched pairs designs.

Basically, there are 3 major types of experimental designs.

They are,

Pre-experimental Research DesignQuasi-experimental Research DesignTrue Experimental Research Design

Given,

A drug company wanted to test a new weight reduction medication.

The researchers identified 500 adults from the age of 30 to 40 and randomly assigned them to two groups.

The first group received the medication and the second group received a placebo.

After 6 weeks the percentage of each group who lost more than five pounds was recorded and compared.

Here we need to find in which experimental design is used.

Here, they used the Pre-Experimental design concept,

In the Pre-Experimental concept,

They used the static group comparison method,

Basically, the process of static group comparison method is,

In a static-group comparison study, 2 or more groups are placed under observation, where only one of the groups is subjected to some treatment while the other groups are held static. All the groups are post-tested, and the observed differences between the groups are assumed to be a result of the treatment.

Therefore, in this experiment they used the Pre-Experimental design.

To know more about Experimental Design here.

https://brainly.com/question/28139463

#SPJ4

solve the following 4x-1/2 = x + 7 and 3x + 2 = 2x+13/3

Answers

Answer:

a. 2.5

b. 2.333

c. 2.85

Step-by-step explanation:

A) 1. subtract -x on both sides 2. to get 3x-1/2=7

3. Add 1/2 on both sides 4. to get 3x=7.5

5. divide 3 on both sides 6. To get... x=2.5

B)1. Same process. 2. x+2=13/3

3. x=13/3-2 4. x= 2.33(repeating)

C) 1. same process. 2. 2x-x/3=3+7/4

3. 2x-x/3=4.75 4. Isolate -x/3

5.-x/3=4.75-2x 6. multiply both sides by 3

7. -x=14.25-6x 8. 5x=14.25

9. x= 2.85

* remember to distribute the 3 to each variable.

Answer:

1) 4x-1/2 = x + 7

Answer : x=5/2

2) 3x + 2 = 2x+13/3

Answer: x=7/3

Step-by-step explanation:

1) 4x-1/2 = x + 7

Solution

Let's solve your equation step-by-step.

4x−1/2=x+7

Step 1: Simplify both sides of the equation.

4x+−1/2=x+7

Step 2: Subtract x from both sides.

4x+−1/2−x=x+7−x

3x+−1/2=7

Step 3: Add 1/2 to both sides.

3x+−1/2+1/2=7+1/2

3x=15/2

Step 4: Divide both sides by 3.

3x/3=15/2/3

x=5/2

2) 3x + 2 = 2x+13/3

Solution

Let's solve your equation step-by-step.

3x+2=2x+13/3

Step 1: Subtract 2x from both sides.

3x+2−2x=2x+13/3−2x

x+2=13/3

Step 2: Subtract 2 from both sides.

x+2−2=13/3−2

x=7/3

Rewrite 20 − 4x^3 using a common factor.

4x(5 − x^2)
4(5 − 4x^3)
2x(10 − 2x^2)
2(10 − 2x^3)

Answers

Answer:

4x(5 − x^2)

Step-by-step explanation:

20 − 4x^3

= 4x(5 − x^2)

The equivalent expression after taking a common factor is,

⇒ 2 (10 - 2x³)

What is Mathematical expression?

The combination of numbers and variables by using sign addition, subtraction, multiplication and division is called Mathematical expression.

Given that;

The expression is;

⇒ 20 - 4x³

Now, Take common factor as;

⇒ 20 - 4x³ = 2 × 10 - 2 × 2x³

= 2 (10 - 2x³)

Thus, The equivalent expression after taking a common factor is,

⇒ 2 (10 - 2x³)

Learn more about the expression visit:

https://brainly.com/question/1852123

#SPJ2

Over line TU has a midpoint at M(5,5) . Point T is at (1,8). Find the coordinates of point U.

Answers

Using the midpoint formula, the coordinates of point U are: (9, 2).

How to Apply the Midpoint Formula?

The midpoint formula is: M[(x2 + x1)/2, (y2 + y1)/2]

Given the following:

Midpoint of TU is at: M(5,5)

Point T is at (1, 8), therefore, let:

M(5,5) = (x, y)

T(1, 8) = (x1, y1)

U(?, ?) = (x2, y2)

Plug in the values

M(5, 5) = [(x2 + 1)/2, (y2 + 8)/2]

5 = (x2 + 1)/2

10 = x2 + 1

10 - 1 = x2

9 = x2

x2 = 9

5 = (y2 + 8)/2

10 = y2 + 8

10 - 8 = y2

2 = y2

y2 = 2

The coordinates of point U are: (9, 2).

Learn more about the midpoint formula on:

https://brainly.com/question/13115533

#SPJ1

2 Shape 1 and Shape 2 are congruent pentagons.
Shape 1
Shape 2
Shape 2 is congruent to Shape 1 because -
A.
Shape 2 is a translation of Shape 1.
B. Shape 2 is a reflection of Shape 1.
C. Shape 2 is a rotation of Shape 1.
D. Shape 2 and Shape 1 are both pentagons.

Answers

Option B) is correct that is shape 2 is congruent to shape 1 because shape 2 is reflection of shape 1.

We know that two figures or objects are congruent if they have the same shape and size or they are the mirror image of each other.

Translation : It simply means moving. Every point should be moved in same distance and in same direction

Rotation : It means turning around a center.

Reflection : In this, the image is of the same size as the pre-image.

So according to the given figure we can see that the shape is not translated or rotated from a center but is reflected as shape 1 is the image of shape 2.

Hence shape 2 is congruent to shape 1 because shape 2 is reflection of shape 1.

Learn more about congruency here : https://brainly.com/question/20880990

#SPJ9

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

8:12

24:36

Evaluate. 7+2^2⋅6+2^3−6

Answers

The answer for 7 + 2^2 x 6 + 2^3 - 6 is 33.

The following figure shows the entire graph of a relationship. A coordinate plane. The x- and y-axes each scale by one. There is a vertical line graphed at x equals negative five. A coordinate plane. The x- and y-axes each scale by one. There is a vertical line graphed at x equals negative five. Does the graph represent a function? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No

Answers

Answer:

(Choice A) A Yes

Step-by-step explanation:

Suppose you can buy 24 eggs for $3.79. How much is 1 egg? How much are one dozen eggs?

Answers

Answer:

0.16 for one egg. 1.90 for a dozen.

Step-by-step explanation:

For 24 eggs it is 3.79 dollars, so to find the price of one egg we just divide 3.79 by 24, which is 0.16.

There are 12 eggs in a dozen, and it's 3.79 for 24 eggs, so I can divide it by 2 to get to a dozen, so 3.79/2 = 1.90

Answer:

.16 per egg

1.90 for a dozen

Step-by-step explanation:

Take the total cost and divide by the number of eggs to find the cost for one egg

3.79/24 =.157916667

Since this is money we round to the nearest cent

.16

The cost per one egg is .16 or 16 cents

Multiply this by 12 to get the cost of 12 eggs

3.79/24 * 12 =1.895

This will round to 1.90

(Do not use the rounded answer to find the cost of a dozen eggs, because it will be higher. We need to use the exact answer when calculating)

a fort has enough food for 80 soliders for 60 days how long will the food lasts if 20 more solidets join after 15 days

Answers

Answer:36

Step-by-step explanation: 36 days

A fort is provided with food for 80 soldiers to last for 60 days. After 15 days, the food is sufficient for 80 soldiers for (60 – 15) days = 45 days. After 15 days, 20 additional soldiers join the fort. = 36 days.

Answer:

Step-by-step explanation:

A fort has food for 80 soldiers to last for 60 days.

Next 15 days the food is for 80 soldiers (60 – 15) days = 45 days.

Next 15 days, 20 MORE soldiers join the fort. = 36

ASNWER: 36 DAYS

Given the functions f and g, explain why you cannot find f * g.
f = { (-1,7), (1,3), (3,4), (6,8), (7,0) }
g = { (0,1), (2, -6), (4,7), (5,1), (8, -1) }

Answers

Answer:

g={(0,1), (2,-6),(4,7),(5,1), (8,1) } its korrect now

Hanna's restaurant sells burrito bowls. The amount charged for a burrito bowl(b) is based on the cost for a plain taco plus an additional charge for each topping (t) as shown in the equation

B(t) = 0.25t +6
(A) If bill ordered a burrito bowl with 4 toppings how much would it cost.

(B) if Paul spent 7.50 how many toppings did he order

Answers

Answer:

The answer is 1

Step-by-step explanation:

The reason the answer is 1 its because 1 its a good number and everybody loves 1

Which of the following shows the equation after the variables have been collected on the left and the constants have been collected on the right? −2x+13=−7x+28
−9x=15
5 x= 15
5x=41
−9x=41

Answers

It would be 5x= 15

-2x+13=-7x+28
-2x+7x=15
5x=15
5. 5
X=3

But the answer you’re looking for is (5x=15) :)

5x=15 is the answer……………

the distance a falling object travels towards the earth is directly proportional to the square of the time that it falls. if an orange falls 16 feet in 4 seconds, how far will it fall in 8 seconds ?

Answers

The orange will fall 64 feet in 8 seconds.

Distance:

Distance is defined as how much ground an object has covered despite its starting or ending point.

Given,

The distance a falling object travels towards the earth is directly proportional to the square of the time that it falls.

And an orange falls 16 feet in 4 seconds.

Here we need to find the how far it will fall in 8 seconds.

Based on the given details,

We know the that distance is,

D = kt²

where

k is the constant of proportionality.

To find the value of k we have to apply the given values on the equation.

=> 16 = k x (4)²

=> 16 = k x 16

=> k = 16/16

=> k = 1.

So, in 8 seconds it will fall at

=> D = 1 x (8)²

=> D = 1 x 64

=> D = 64 feet.

Therefore, the orange will fall at 64 feet in 8 seconds.

To know more about Distance here

https://brainly.com/question/15172156

#SPJ4

a car rents for $ per week plus $ per mile. find the rental cost for a two-week trip of 500 miles for a group of three people.

Answers

The equation for a two-week trip of 500 miles' rental cost is Total rent cost = 2x + 500y

Information about the problem:

Car rent per week = xCar rent per mile = yweeks = 2Miles = 500 miles

To solve this problem, we have to state the equation using the information of the problem:

Car rent for 2 weeks = 2x

Car rent for 500 miles = 500y

Total rent cost = 2x + 500y

Example:

Car rent per week = $280/ week

Car rent per miles = $0.75/ mile

Total rent cost = (2 weeks * $280/ week) + (500 miles * $0.75/ mile)

Total rent cost = $560 + $375

Total rent cost = $935

What is an equation?

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

Learn more about equation at: brainly.com/question/2972832 and brainly.com/question/27815607

#SPJ4

Rectangle ABCD has coordinates of A(-5,5) B(-5,-3), C(6,-3), D(6,5). If the rectangle is dilated using a scale factor of 1.5 how long is side AD

Answers

The length of the side AD after undergoing a dilation using a scale factor of 1.5 as required in the task content is; 16.5.

What is the length of the side AD after a dilation using 1.5 scale factor?

To evaluate the length of side AD prior to the transformation which involves a dilation.

The distance between two points is given by;

D = √((y2 - y1)² + (x2 x1)²)

It follows that the lengths of the pre-image can be determined as follows;

AD = √((-5-6)² + (5 -5)²)

AD = √(-11)² + 0²

AD = √121

AD = 11

Ultimately, upon undergoing a dilation using a scale factor of 1.5, the length of AD becomes; 11 × 1.5

Hence, AD = 16.5.

Answers

Answer:

x=-3

Step-by-step explanation:

Let's solve your equation step-by-step.

−7+2(−4x−3)=11

Step 1: Simplify both sides of the equation.

−7+2(−4x−3)=11

−7+(2)(−4x)+(2)(−3)=11(Distribute)

−7+−8x+−6=11

(−8x)+(−7+−6)=11(Combine Like Terms)

−8x+−13=11

−8x−13=11

Step 2: Add 13 to both sides.

−8x−13+13=11+13

−8x=24

Step 3: Divide both sides by -8.

−8x

−8

x=−3

Mark is baking cookies for a bake sale. He needs 2 1/2 cups of flour for each batch of cookies, and he needs to make 4 1/3 batches.

How much flour does Mark need to make his cookies?

Answers

The answer would be 10 5/6 or the fourth answer.

Answer: D. 10 5/6

Step-by-step explanation: K12 UNIT TEST

What is the value of the expression that is described as “half the difference of 14 and 8”?

Answers

Answer:

I would say 6

Step-by-step explanation:

Difference is subtraction.

Multiply (4x^2 +8)^2

Answers

Answer:

5/2 or 2.5

Step-by-step explanation

Five over two or two and 5 tenths

guys help please. Enter the value for x that makes the equation 5x-2+3+-7 HELP

Answers

Step-by-step explanation:

5x-2+3-7

0=5x-9+3

0=5x-6

6=5x

x=6/5

Ben’s annual salary is £22000. He spends 15% of this on rent. How much is his rent per month

Answers

22000 x 0.15 = 3300

3300/12 = £275 per month

Answer:

£275

Step-by-step explanation:

To find how much Ben's rent is per month, we first have to find how much Ben spends on rent annually (every year). We can do this by multiplying his annual salary by the percentage spent on rent.

22000 · 0.15 = 3300

Now that we know Ben spends 3300 on rent a year, we can divide that amount by 12 (the number of months in a year) to find out how much his rent is per month.

3300 / 12 = 275

leslie drew a scale drawing of a city park. in real life, the soccer field is 99 meters long. it is 187 millimeters long in the drawing. what scale did leslie use?

Answers

leslie uses the scaling factor as 1 m actual size of soccer field is 1.89 mm in drawing.

What is scaling ?

It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.

It is given that, leslie drew a scale drawing of soccer field. in real life, the soccer field is 99 meters long. it is 187 millimeters long in the drawing.

Now, corelating the scale given which means for 99m of actual side of the soccer field scale is 187 mm. Now, the scaling factor is calculated by dividing 99 m with 187 mm.

99 m actual size of soccer field = 187 mm in drawing

1 m actual size of soccer field = (187/ 99) mm in drawing = 1.89 mm in drawing

Therefore, leslie uses the scaling factor as 1 m actual size of soccer field is 1.89 mm in drawing.