Given g (x) = 3x+5 determine x for g (-2)

The rate of change is (-1)

To solve this, we need to look at graphic to know the values of the function f(x) when x is equal to 1 and 3.

Then we have two points of the graph: (1,6) and (3,4).

The rate of change between two points is:

In this case,

Note that its the same whatever coordinate put first:

But when you do the difference between the coordinates, make sure to respect the order: if you use the y coordinate of the point P minus the y coordinate of point Q, you must to do the same for the x coodinate; Px-Qx

The value of k in the expression is equal to 9.

The expression is in the form of Cubic polynomial. A cubic polynomial is the one which can be written in the form y = ax³ + bx² + cx + d where a, b, c and d are coefficients and x, and y are independent and dependent variables respectively. The cubic polynomial f(x) = 2x³ + (k)x - 11 has a factor equal to (x-1). If it is the factor, then x = 1 is the solution of cubic polynomial and at x = 1 the value of f(x) = 0.

2(1)³ + k(1) - 11 = 0

2 + k - 11 = 0

k - 9 = 0

=> k = 9 which is the required value.

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y=x+23 is the linear equation that gives the rule for the given table .

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.

The following is how the linear equation can be expressed in a slope-intercept form:

y = mx + b

where

slope = m

y-intercept = b

Using the table we get two points:

(1,24) and (2,25)

slope= y2-y1/x2-x1

= 25-24/2-1

=1

Now we have to calculate B using the point (1,24) and putting values in equation y=mx+b

24=1+b

b=23

So the equation is :

y=x+23

Therefore the linear equation for the given set of data table is  y=x+23.

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Given:

Taking the first equation:

Taking the second equation:

If 4m=5n,

If 4m=-5n,

Range of n in terms of p:

The value of the variable k in the equation given as 2k + 6k = h is k = h/8

From the question, the equation is given as

2k + 6k = h

Evaluate the like terms

i.e. We add 2k and 6k together.

This gives 8k

So, we have the following equation

8k = h

Divide both sides of the equation by 87

So, we have the following equation

8k/8 = h/8

Evaluate the quotient in the equation

k = h/8

The equation cannot be further simplified

Hence, the solution for k is k = h/8

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The volume of the hemisphere is found as 695.55 cm³.

The formula for finding the volume of the hemisphere is;

V = (4/3)πr³

where, π = 3.14

r = radius

For the given question, the diameter of the hemisphere is 11 cm.

Radius = 11/2 = 5.5 cm.

Put the value in formula.

V = (4/3)×3.14×5.5³

V = 695.55

Thus, the volume of the hemisphere is found as 695.55 cm³.

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Answer:

A) 1060 (corrected to the nearest 10) B) 1700

Step-by-step explanation:

A) the answer is 1058 which taken to the nearest 10 is 1060

B) the answer is 1700 which does not need to be corrected

Required:

We need to fill the given diagram with suitable words.

Explanation:

Consider the first line.

There is a choice of fish-bottled water is coming from fish and bottled water.

Consider the second like there is Chicken-bottled water and we have bottled water.

There must be chicken under food.

There are only three types of drink that are Bottled water, Soft drink, and juice.

In drinks for fish, there are already two drinks Bottled water and juice so the remaining is Soft drinks.

Chicken and juice give a choice of Chicken-Juice.

Vegetable and Juice give a choice of Vegetable- Juice.

Two lines are perpendicular when their slopes are opposite.

You have the equation;

You can identify the slope as the number next to the x (y=mx+b, m is the slope)

the slope in the given equation is 1/2

The slope of the perpendicular line will be the opposite

$1470 more money  does Michael have  than Steven after 1 year.

The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.

Rate of interest is simple interest for Steven in a savings account. He can withdraw his money any time he wishes to.

Steven will receive after 1 yr an interest payment of

=35000×1.8/100

=35000×0.018

=630

Michael invests his inheritance in a CD (Certificate of Deposit) account. He gave up access to his money for a specified period of time. Assuming that given rate of interest is annual.

=35000×6/100

=35000×0.06

=2100

Therefore, Micheal has more money than Steven.

=2100-630

=1470.

Hence $1470 more money  does Michael have  than Steven after 1 year.

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Answer:

n = 1

Step-by-step explanation:

-12 = -6(-8n + 6) + 8(-4 + n)

multiply our right side:

-12 = 48n - 36 -32 + 8n

combine n terms on right side:

-12 = 56n - 36 -32

combine numbers on right side:

-12 = 56n - 68

add 68 to both sides:

-12 + 68 = 56n - 68 + 68

56 = 56n

divide both sides by 56:

56/56 = 56n/56

n = 1

check:

-12 = -6(-8(1) + 6) + 8(-4 + (1))

-12 = -6(-8 + 6) + 8(-3)

-12 = -6(-2) + 8(-3)

-12 = 12 - 24

-12 = -12

Answer:

n=1

It's the answer I would tell u step by step but I can't cuase it will be kinda confusing

Answer:

2 + 1 = 3

40 + 9 = 49

56 + 3 = 61

2 x 0 = 0

5 x 5 = 25

Step-by-step explanation:

I think Squishmallows are made of fluff and cotton.

As for rulers, WOOD

Pens, ink, and plastic

hahahaaha i cant believe no one answered this yet, they probably thought this was an actual math problem they had to use much braincells for-

The answers for addition are 3,49,59 and multiplication are 0 and 25.

Any symbol that denotes a mathematical operation is known as an operator. Examples are d/dx and Square root of x (which implies that the square root should be taken) (which indicates differentiation with respect to x is to be performed).

These operators are + for addition, - for subtraction, * for multiplication, / for division, and % for percentage (modulo).

So:

2+1=3

40+9=49

56+3=59

2*0=0

5*5=25

Therefore,The solutions to the addition and multiplication problems are 0 and 25 respectively.

For the other part

Squishmallows are made of cotton and fluff.

rulers are made of WOOD

Ink and plastic and metal is used to make pens.

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Step-by-step explanation:

l = number of Levi's cards

j = number of James' cards

l = 4j

l + j = 600

whey we use the first identify in the equation we get

4j + j = 600

5j = 600

j = 120

l = 4j = 4×120 = 480

Levi has 480 cards, James has 120 cards.

Answer:

Step-by-step explanation:

n-2=10n+42

add 2 to both sides

n-2+2=10n+42+2

simplify

n=10n+44

subtract 10n from both sides

n-10n=10n+44-10-n

simplify

-9n=44

divide both sides by -9

-9n/-9=44/-9

n=-44/4

Gagu will be paid £1248 per month after the increase.

Given,

The amount Gagu is paid = £1200 per month

The increase he is going to get = 4%

We have to find the amount Gagu gets after the increase:

First we have to find the increment amount:

That is,

4% of 1200

= 1200 × (4/100)

= 12 × 4

= 48

Here,

£48 is the increment amount Gagu will get.

Now we can calculate the monthly amount gagu will be paid after the increase.

That is,

1200 + 48 = 1248.

Therefore,

Gagu will be paid £1248 per month after the increase.

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Answer:

4.3 dollars per pound

Step-by-step explanation:

price / pound = ?

$9.03 / 2.1 lbs. = 4.3

The statements about Alina's and Cesar’s estimates should be completed as follows:

Percentage error is also referred to as percent error and it can be defined as a measure of the extent to which an experimental numerical value differs from the actual (theoretical) numerical value.

Mathematically, percentage error can be calculated by using this expression;

[tex]Percent\; error = \frac{Actual\;value - Experimental\;value}{Experimental\;value} \times 100[/tex]

For the Alina's result, we have:

Difference = Actual mileage - Estimated mileage

Difference = 50 miles - 45 miles

Difference = 5 miles.

Next, we would determine Alina's percentage error as follows:

Percentage error = 5/50 × 100

Percentage error = 500/50

Percentage error = 10%.

For the Cesar's result, we have:

Difference = Actual mileage - Estimated mileage

Difference = 200 miles - 190 miles

Difference = 10 miles.

Next, we would determine Cesar's percentage error as follows:

Percentage error = 10/200 × 100

Percentage error = 1000/200

Percentage error = 5%.

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Complete Question:

Alina and Cesar estimated the number of miles they drove during a trip. Alina estimated the number of miles they drove in the morning. Cesar estimated the number of miles they drove in the afternoon. Use the drop-down menus to complete the statements about Alina's and Cesar’s estimates.

Alina's Estimate Actual Mileage

45 miles                 50 miles

Cesar's Estimate Actual Mileage

190 miles                200 miles

Alina is ___ miles off the actual mileage of 50 miles. That is a percent error of %.

Cesar is ___ miles off the actual mileage of 200 miles. That is a percent error of %.

Because Alina's mileage is _____ than Cesar's mileage, each mile of error results in a ____ percent error.

Answer:

Sarah earned $10 per hour for babysitting

Step-by-step explanation:

Answer:

343.75

Step-by-step explanation:

dividing the number of miles by the number days to get fewest equal number miles per each day

Answer:0.4

Step-by-step explanation:

just do y2-y1 over x2-x1 which gives 5/14

and convert that to a decimal which is .3571 and round it to get .4

The compound interest comes into the picture when interest adds on the principal amount. The total value of $4080 after 4 years with a rate of interest of 5.7% is $4124.83.

Compound interest is applicable when there will be a change in principal amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount but after 1 year it will convert into $550.

As per the given,

Principle amount P = $4080

Rate of interest r = 5.7% = 0.057

Time period t = 4 years.

The formula for total value is given as,

V = P[tex]e^{rt}[/tex]

V = 4080[tex]e^{(0.057\times4)}[/tex]

V = $5124.83

Hence "The compound interest comes into the picture when interest adds on the principal amount. The total value of $4080 after 4 years with a rate of interest of 5.7% is $4124.83".

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The given question is incomplete complete question follows;

Answer:

(10, 1) is a solution to this equation.

Answer: your answer will be (10, 1)

Step-by-step explanation:

i just watch a mathematics video

The skid distance value that will be used when calculating the skid speed formula is 58.5 ft.

What is average of values and how is it defined?
The ratio of the sum of the values in a particular set to all the values in the set is the mean value, which is the definition of the average. In mathematics, the central value of a set of data is expressed as the average of a list of data. It is defined mathematically as the ratio of the total number of data points to the number of units in the list. In terms of statistics, the term "mean" also refers to the average of a certain set of numerical data. As a result, the following is the mathematic average formula:
Average = Sum of values/Set of values = (x₁ + x₂ + ... + xₙ)/n

Given, the first skid distance calculated, in feet = x₁ = 55
The second skid distance calculated, in feet = x₂ = 55
The third skid distance calculated, in feet = x₃ = 62
The fourth skid distance calculated, in feet = x₄ = 62
Therefore using the formula for average mentioned in the literature at n=4, we have,
Average skid distance = (55 + 55 + 62 + 62)/4 = 234/4 = 58.5 ft.
Thus, the skid distance value that will be used when calculating the skid speed formula is 58.5 ft.

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Explanation:

The x coordinates are the same, so we subtract the y coordinates and use absolute value to ensure the result isn't negative.

|-30.5 - 9.7| = |-40.2| = 40.2

One unit represents 1 km, so 40.2 units represent 40.2 km

This converts to 40,200 meters. Multiply by 1000 to go from km to meters.

The net pay of  Alisha Gregory  is $30606.4

Since we are given the weekly gross  pay of her  is $640

The annual gross pay will  be  52 *  640 =33280.

Here the local income tax is  1.5% of the gross, which is  1.5/100 * 33280  = 499.2 and  it is also specifically said that the state tax is the 3.0% of taxable income.

So we have:

3/100 * 33280= 998.4

The medical insurance is $1,940 for a year from where the company  pays 60 %

For which we have:

60/100 *1940

= 1164

At the last he pays  $4.50  for union dues and $7.50 for others.

Since we know that the net pay is nothing but the amount we get after subtracting the deductions from the annual gross pay

So the net pay = 33280- (499.2+998.4+1164+4.50+7.50)

                         =  33280  -(2673.6)

                         =  30606.4

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Answer: -85403

Step-by-step explanation:

Some of the terms of an equation that has missing terms will be eliminated.

100 is the missing term that transforms (x² - 20) into a perfect square.

What is a  perfect square?

A perfect square is a number that can be written as the product of an integer multiplied by itself or as the integer's second exponent. For instance, the number 25, which is the product of the integer 5 multiplied by itself, is a perfect square because 5 x 5 = 25.

The missing term will be calculated in the next step.

Use k to represent the x-coefficient.

We thus have:

k = -20

Divide both sides by 2

k/2 = - 10

squaring both the sides,

(k/2)² = (- 10)²

=> (k/2)² = 100

This means that the term that is lacking is 100.

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Question:

What is the missing constant term in the perfect square that starts with x^2 -20x?

The equations for the coordinates of the endpoint F should be x = 2 · 35 - 15 and y = 2 · (- 3) - 26.

In this problem we know the coordinates of the endpoint E and the midpoint M of the line segment EF and we need to derive expressions of the coordinates of the endpoint F by the midpoint formula:

M(x, y) = 0.5 · E(x, y) + 0.5 · F(x, y)

2 · M(x, y) = E(x, y) + F(x, y)

F(x, y) = 2 · M(x, y) - E(x, y)

If we know that M(x, y) = (35, - 3) and E(x, y) = (15, 26), then the coordinates of the endpoint F are:

F(x, y) = 2 · (35, - 3) - (15, 26)

F(x, y) = (70, - 6) + (- 15, - 26)

F(x, y) = (55, - 32)

The equations should be x = 2 · 35 - 15 and y = 2 · (- 3) - 26.

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The endpoint F's coordinates should be given by the formula

x = 2×35 - 15 and y = 2×(- 3) - 26.

In order to solve this problem, we need to derive expressions for the coordinates of the endpoint F using the midpoint formula.

We know the coordinates of the endpoint E and the midpoint M of the line segment EF.

M(x, y) = 0.5×E(x, y) + 0.5×F(x, y).

2×M(x, y) = E(x, y) + F(x, y).

F(x, y) = 2×M(x, y) - E(x, y).

Given that M(x, y) = (35, -3) and E(x, y) = (15, 26), the endpoint F's coordinates are,

F(x, y) = 2×(35, - 3) - (15, 26).

F(x, y) = (70, - 6) + (- 15, - 26).

F(x, y) = (55, - 32).

The equations should be x = 2×35 - 15 and y = 2×(- 3) - 26.

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Answer: Choice D

Step-by-step explanation

First, subtract Ax from both sides:

Ax - Ax + By = C - Ax

By = C - Ax

Now, divide B from both sides:

[tex]\frac{By}{B}[/tex] = [tex]\frac{C - Ax}{B}[/tex]

y = [tex]\frac{C - Ax}{B}[/tex]

Finally, to get an equivalent answer for an answer choice, divide each term by B on the right side of the equation:

y = [tex]\frac{C}{B}[/tex] - [tex]\frac{Ax}{B}[/tex]

     or

y = -[tex]\frac{Ax}{B}[/tex] + [tex]\frac{C}{B}[/tex]

     or

y = [tex]\frac{-Ax}{B}[/tex] + [tex]\frac{C}{B}[/tex]

This answer is the same as answer choice D, and so D is the correct answer.

Answer: D.

Step-by-step explanation:

[tex]Ax+By=C\\Ax+By-Ax=C-Ax\\By=C-Ax\\[/tex]

Divide both parts of the equation by B:

[tex]\displaystyle\\y=\frac{C-Ax}{B} \\\\y=\frac{C}{B}-\frac{Ax}{B} } \\\\y=-\frac{Ax}{B} +\frac{C}{B}[/tex]