please help!!!!!!!!!!!!!!

The average rate of change over the interval x = -2 and x = 1 is 4

The equation is given as

f(x) = x² + 5x - 12

The interval is given as:

x = -2 to x = 1

Start by calculating the functions f(-2) and f(1)

So, we have

f(-2) = (-2)² + 5(-2) - 12 = -18

f(1) = (1)² + 5(1) - 12 = -6

So, the average rate over these intervals is calculated as:

Average rate = [f(1) - f(-2)]/[1 - -2]

This gives

Average rate = [-6 - -18]/[1 - -2]

Evaluate

Average rate = 4

Hence, the average rate of change is 4

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Answer:

2) ∡1 = 170°

Step-by-step explanation:

1) The angles in red have the same measure, and those in blue have the same measure.

Answer: How Weather Exists

Step-by-step explanation:

~I think you mean, how weather exists.

You see, "Weather" exists because of the atmosphere. Evidently, weather  is the movement of the atmospheric gases around the planet that creates weather. Places like the Moon or Mercury do not have weather - only temperature changes.

~Hope this helped :)

The graph line for function d = 0.25t is added as an attachment

The equation of the function is given as

d = 0.25t

The above function is a linear function

One way to create the graph is to make a list of ordered pairs

So, we have

When t = 0, d = 0.25 * 0 = 0

When t = 1, d = 0.25 * 1 = 0.25

When t = 2, d = 0.25 * 2 = 0.5

So, the ordered pairs are (0, 0), (1, 0.25) and (2, 0.5)

We plot these points on a graph and connect them through a line

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i) The number of participants that would need to attend the forum for Patricia to break even is of: 30.

ii) The number of participants that would need to attend the forum for Patricia to obtain a profit of Ksh 337,500 is of: 75.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the coefficients are given as follows:

Hence in the context of this problem, the meaning of each coefficient is given as follows:

Hence the values of each coefficient are given as follows:

Hence the profit function is given as follows:

P(x) = 7500x - 225000.

She breaks even when P(x) = 0, hence:

7500x - 225000 = 0

7500x = 225000

x = 225000/7500

x = 30 participants.

She makes a profit of 337500 when:

7500x - 225000 = 337500

x = (337500 + 225000)/7500

x = 75 participants.

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Answer:

[tex]\frac{5}{y}[/tex]

Step-by-step explanation:

5 divided by y can be written as a fraction.

[tex]\frac{5}{y}[/tex] 5 being the numerator with y as the denominator showing it's 5 divided by y

The slope and y-intercept of this function is

B. The slope is 5/6, The y-intercept is (0, -3

Linear function is a function of the form y = mx + c

m = slope

c = intercept

The slope is represented as m, The slope by definition is the ratio change of the output values to the input values

the slope, m calculated using the points (0, -3) and  (6, 2)

m = (y₀ - y₁) / (x₀ - x₁)

m = (2 - -3) / (6 - 0)

m = (5) / (6)

m = 5/6

c = y intercept, from the table

c = -3

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A) 3x+9y-1 = 3(x+3y) -1, here distributive property is used the 3 is multiplied with each term inside the bracket.

What is algebraic operations?
Any of the common arithmetic operations, such as addi - tion, subtraction, multiplication, division, raising to a complete number power, and taking roots, are considered basic algebraic operations in mathematics (fractional power). These operations could be applied to numerical data, in which case people are frequently referred to as arithmetic operations. Similar operations can be carried out on factors, algebraic expressions, and, more generally, on components of algebraic structures like groups and fields. Another way to describe an algebraic operation is as a function from the Cartesian power of the a set to the same set. The dot product is an example of an operation that can be described by compounding simple algebraic operations, and is referred to as an algebraic operation.

b) 7x+5y-5y = 7x

Here the Additive inverse of 5y is used which is -5y .

c) (x-4)(x+3) = 0

here distributive property of addition over multiplication is used.

d) 4x+5x = 5x+4x

here commutative property is used.

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Answer:

[tex]S=\{-2,-3\}[/tex]

Step-by-step explanation:

Required integers are: -2 and -3

The value of x for the given equation is 1.

What is solving an equation?

A General Rule for Equation Solving

Remove parentheses from each side of the equation and combine similar phrases to make it simpler.

To separate the variable term on one side of the equation, use addition or subtraction.

To find the variable, use division or multiplication.

Consider the given expression

0.2(x + 1) + 0.5x = -0.3(x - 4)

Simplifying,

0.2x + 0.2 + 0.5x = -0.3x + 1.2

0.7x + 0.2 = -0.3x + 1.2

Add 0.3x on both sides,

0.7x + 0.2 + 0.3x = -0.3x + 1.2 + 0.3x

x + 0.2 = 1.2

Subtract 0.2 from both sides,

x + 0.2 - 0.2 = 1.2 - 0.2

x = 1

Hence, the value of x for the given expression is, 1.

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Answer: [tex]x=-1, 2[/tex]

Step-by-step explanation:

If [tex]ab=0[/tex], then [tex]a=0[/tex] and/or [tex]b=0[/tex].

So, [tex]x+1=0[/tex] or [tex]2x-4=0[/tex].

[tex]x+1=0 \implies x=-1\\\\2x-4=0 \implies x=2\\\\\therefore x \in \{-1, 2\}[/tex]

The simplification of the expression (3√-5 + 2)(4√-5 -1) gives 5√-5 - 62

Simplification is a way of determining an answer for a complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus, etc.

Given: the expression (3√-5 + 2)(4√-5 -1)

(3√-5 + 2)(4√-5 -1)

Clear the parenthesis:

(3√-5 + 2)(4√-5 -1) = 3√-5(4√-5) + 3√-5 (-1) + 2(4√-5) + 2(-1)

                             = -60 - 3√-5 + 8√-5 -2

                            = 5√-5 - 62

Therefore, the expression (3√-5 + 2)(4√-5 -1) simplifies to 5√-5 - 62

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Answer:  a

Step-by-step explanation:

The quadratic equation with the roots  3+i and 3-i is:

x^2 - 6x + 10 = 0

We know that a quadratic equation with the roots a and b is written as:

(x - a)*(x - b) = 0

Here the roots are 3 + i, and 3 - i.

Replacing that we get:

(x - 3 - i)*(x - 3 + i) = 0

Expanding the product on the left we get:

x^2 + x*(-3) + x*i + (-3)*x + (-3)*(-3) + (-3)*i + (-i)*x + (-i)*(-3) - i^2 = 0

Remember that i^2 = -1, then:

x^2 -3x + x*i - 3x + 9 - 3i - x*i + 3i + 1 =0

x^2 - 6x + 10 = 0

That is the equation for the given roots.

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The balance due on the note at the date of maturity is ​$1010.13.

The offering of a payment by cheque for less than the whole amount sought by the creditor is known as partial payment. It is standard practice to grant debt forgiveness in exchange for the tender of a "payment-in-full" check.

Given permission to apply the US rule

In the United States, a year is deemed to have 360 days for the purposes of calculating interest.

Given that the principal is $ 2000,

Interest rate = 4% = 0.04

The effective date is April 1.

The whole amount is $1,000.

May 1 = partial payment

Duration = 30 days (May 1 - April 1)

Therefore, interest = PTR = 2000 * 0.04 * 30/360 = $6.67

So value = $ 2000 + $6.67 = $6.67

Partial payment received = $1,000

As a result, value = $ 1006.67 = $2006.67 - $ 1000

Time T= 31

Interest = PTR * 31/360 * 0.04 = 3.46

So the total value is $1006.67 + $3.47 = $1010.13.

The note's outstanding balance at maturity is $1010.13.

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Answer:

The three numbers are 3, 7 and 13

Step-by-step explanation:

Considering the 3 numbers: x, y and z

x + z = 16

z=16-x

3x=z-4

3x=16-x-4

4x=12

x=3

3+z=16

z=16-3

z=13

3+13+y=23

y=23-13-3

y=7

Hope this helps :)

Answer:

4 hours

Step-by-step explanation:

I don’t work with data points too much but I believe the gap is at 4 because it is where no one waited that long and where the date kind of stops and then start back up at 5 hours

Hopes this helps

By resolving an equation, we may determine that Uan needs to sell 12 or more goods in order to generate a profit of $60 or more.

A formula that describes how two expressions on each side of a sign are connected.

It typically has an equal sign and one variable.

Similar to this: 2x - 4 = 2.

Graphing, substitution, or elimination are the three methods that can be used to solve systems of equations.

To answer a problem by graphing, just plot the given equations on a graph and identify the point(s) where they all intersect.

So, a number of items Uan should sell to earn a profit of $60 or above:
We know that Uan earns $5 for each item he sells.

So, let x be the number of items Uan should sell.

Then, the equation will be:

5x = 60

Now, solve as follows:
5x = 60

x = 60/5

x = 12

Profit of $60: 12 items to sell

Profit more than $60: More than 12 items to sell

So, by resolving an equation, we may determine that Uan needs to sell 12 or more goods in order to generate a profit of $60 or more.

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From knowledge of numerals the answer to the given Question is: a = 3 b = 6 c = 5

What are Numerals?

Numerals are symbols or numerals used to represent numbers. They are used in math and other fields to represent quantities and measurements. Numerals can be written in different forms, such as Arabic numerals (1, 2, 3, etc.) or Roman numerals (I, II, III, etc.). Numerals are also used to label items, such as dates (e.g. May 4th, 2020), addresses (e.g. 1234 Main Street), and telephone numbers (e.g. 555-123-4567). Numerals are an important part of our everyday lives, used to count, measure, and express amounts.

Numerals are just a combination of digits that we know
for example if 0,1,2,3,4,5,6.....9

are the fundamental digits then numbers from these like

12,34,668,389,23,39 etc are called numerals

We can also conclude that all numbers have originated from numerals itself and numerals are basic unit of formation of numbers

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The symmetric fraction to 8/4 is given as follows:

1/2.

A fraction is a numerical representation of the division of the two terms, symbolized x and y, as follows:

Fraction = x/y.

The technical terms of x and y are given as follows:

The symmetric fraction is obtained exchanging the numerator and the denominator, hence it is of:

Symmetric fraction = y/x.

The fraction in this problem is given by:

8/4.

Hence the symmetric fraction is of:

4/8 = 1/2.

(as both 4 and 8 are divisible by 4).

The problem asks for the symmetric fraction to 8/4.

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The speed of the current of the river will be 4.47 km per hour.

Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.

We know that the speed formula

Speed = Distance/Time

A riverboat goes at a normal of 14km each hour in still water. the riverboat voyages 110km east up the Ohio waterway and 110km west down a similar stream in a sum of 17.5 hours.

Let 'y' be the speed of the current of the river. Then the equation is given as,

T = T₁ + T₂

17.5 = [110 / (14 + y)] + [110 / (14 - y)]

17.5 / 110 = (14 - y + 14 + y) / (196 - y²)

196 - y² = 176

y² = 20

y = 4.47 km per hour

Then the speed of the current of the river will be 4.47 km per hour.

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Answer:

[tex]\huge\boxed{\sf 3 \ baskets}[/tex]

Step-by-step explanation:

Let the baskets missed in game 2 be x.

Says that, the shooting of both the games were accurate.

So,

[tex]\displaystyle \frac{Baskets \ made \ in \ game \ 1}{Baskets \ missed \ in \ game \ 1 } =\frac{Baskets \ made \ in \ game \ 2}{Baskets \ missed \ in \ game 2} \\\\\frac{15}{5} =\frac{x}{1} \\\\Cross \ Multiply\\\\15 \times 1 = 5 \times x\\\\15 = 5x\\\\Divide \ 5 \ to \ both \ sides\\\\3 = x\\\\x = 3\\\\\rule[225]{225}{2}[/tex]

The percentage of the campers that are participating in a nature hike that are females is 57.1% (first option)

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

Percentage of the campers that are participating in a nature hike that are females = (number of females in the nature hike / total number of campers in the nature hike) x 100

Total number of campers in the nature hike = 20 + 15 = 35

Percentage of the campers that are participating in a nature hike that are females = (20 / 35) X 100 = 57.1%

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The number of text messages sent by carla in a month is 34.

What is an algebric equation ?

An algebraic equation is a mathematical statement that sets two expressions equal to each other. An algebraic equation is typically made up of a variable, coefficients, and constants.

For given question,

Phone service = $35

For each text message = $0.50

Total bill = $52

Let x be the no. of total text messages.

Equation:  52 = 35 + 0.50x

Solving for x,

52 - 35 = 0.50x

17 / 0.50 = x

34 = x

The number of text messages sent by carla in a month is 34.

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DNE in each coordinate of the ordered triplet are y is -7 , DNE ,y is-2.

1.) 2+3 = y + 12

Make y the formula's subject after adding the LHS.

5 = y + 12

Y = 5 - 12

Y = - 7

The answer to the equation is -7

2.) 2 + 13 = 1 +8

The equation cannot have a solution since there is no unknown variable and the sum of the numbers on the left hand side (LHS) does not equal the sum of the numbers on the right hand side (RHS).

3.) y - 7 = 2 - 11

RHS is added, and y is become the formula's subject.

Y - 7 = -9

Y = -9 + 7

Y = -2

The equation's answer is -2.

The complete question is:Solve the following system of equations. If there is no solution, write DNE in each coordinate of theordered triplet. If there are an infinite number of solution, write each coordinate in terms of z.2+3 = y + 12

2 + 13 = 1 +8

y - 7 = 2 - 11

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The x-intercept of the quadratic inequality is -4 ≥ x and 2 ≥ x.

Let's factor the quadratic inequality to find the x-intercepts. The x-intercept of the quadratic inequality is the value of x when y = 0.

Therefore,

y ≥ x² + 2x - 8

0 ≥ x² + 2x - 8

0 ≥ x² - 2x + 4x - 8

0 ≥ x(x - 2) + 4(x - 2)

0 ≥ (x + 4)(x - 2)

Therefore,

0 ≥ x + 4

-4 ≥ x

0 ≥ x - 2

2 ≥ x

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H represents integer -2 on the number line

Opposite value of -2 is 2

Absolute value of -2 is 2

What is opposite and absolute value of an integer?

Opposite integers: Two numbers that are the same distance from zero but on opposite sides.

Absolute value of integer: The integer’s distance from zero on the number line.

Every integer has an opposite.

The sum of two opposites is always zero.

For example 5 is opposite of -5

According to the given question:

The integer represented by the H lies on the left hand side of zero that is negative side of number line.

H represents -2 on the number line

Opposite value of -2 is 2

Absolute value of -2 is 2

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[tex]\stackrel{mixed}{2\frac{2}{3}}\implies \cfrac{2\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{8}{3}}[/tex]

Answer:

For the first graph:

Domain: -∞ [tex]\leq[/tex] x [tex]\leq[/tex] ∞

Range: y [tex]\geq[/tex] 3

For the second graph:

Domain: 0 [tex]\leq[/tex] x [tex]\leq[/tex] 4

Range: y [tex]\leq[/tex] 64

Step-by-step explanation:

For the second graph, I'm assuming that that point are stopping at (0,0) and (4,0) that's why I wrote that for the domain. If it doesn't stop, then the domain would be the same and the first graph.

There was no control group for comparison answers.

There was no control group to compare the results to change in blood flow could have been caused by something else .

The movement of blood through the vessels from arteries to capillaries and then into veins is referred to as blood flow.

There are two blood circulatory systems in the human body, which are linked: The systemic circulation transports blood to organs, tissues, and cells, supplying them with oxygen and other vital substances. The pulmonary circulation is where fresh oxygen enters the bloodstream.

As the heart beats, blood is pumped through a network of blood vessels known as the circulatory system. The vessels are flexible tubes that transport blood to all parts of the body.

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