5.
Evaluate f(x) = -2x2 -4 for x = 3.
O -10
O -18
10
-22

Answer: \(\frac{11}{14}\)

Step-by-step explanation:

1) Identify Format

(x1,y1) = (−10,−3)

(x2,y2) = (4,8)

2) Use the Slope Formula

m=y2−y1x2−x1

=8−−3/4−−10

=11/14

=11/14

Bonus: Graph

Answer provided by Education Point

Answer:

A satellite state is a country that is formally independent in the world, but under heavy political, economic and military influence or control from another country.

According to the solution we have come to find that, The correct value of x in the given equation is 30.

An equation is a mathematical statement that shows the equality between two expressions, usually containing variables and mathematical operations. In an equation, the expressions on both sides of the equals sign have the same value.

For example, the equation 2x + 5 = 11 is an equation that shows the equality between the expressions 2x + 5 and 11. To solve the equation, we need to find the value of the variable x that makes the equation true.

Martina solved the equation x + 14 = 44 as follows:

x + 14 = 44

x = 44 - 14

x = 30

The error that Martina made is that she forgot to subtract 14 from both sides of the equation. The correct solution should be:

x + 14 = 44

x = 44 - 14

x = 30

Therefore, the correct value of x in the given equation is 30.

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Answer:

7m + 49 or 7(m + 7)

Step-by-step explanation:

Distribute the 7 to each integer and simplify.

Answer:

7m+49

Step-by-step explanation:

7m+14+35

7m+49

a) Value of K is Option 3. 98.83%

b) It takes Option 2. 183 bounces for the ball to bounce back to a height of less than 3 inches (1/4 of a foot).

a) To determine k, we can use the formula for the nth term of a geometric sequence:

\(a_n\) = \(a_1\) * \(r^{(n-1)}\)

where a_1 is the initial term, r is the common ratio, and n is the term number.

We know that \(a_1\) = 10 feet and \(a_5\) = 9.04 feet, so we can set up the equation:

\(a_5\) = \(a_1\) * \(r^{(5-1)}\)

9.04 = 10 * \(k^4\)

Solving for k, we get:

k = \((9.04/10)^{(1/4)}\) = 0.9883 or 98.83%

Therefore, the answer is (Option 3) 98.83%.

b) We can use the formula for the nth term of a geometric sequence again to find the height of the ball after the nth bounce:

\(a_n\) = 10 * \(k^{(n-1)}\)

We want to find the smallest n such that a_n < 1/4 foot, or 0.25 feet. Substituting k = 0.9883, we get:

10 * \(0.9883^{(n-1)}\) < 0.25

Solving for n, we get:

n > log(0.25/10) / log(0.9883) + 1

n > 183.3

Since n must be a whole number, the smallest n that satisfies this inequality is n = 184. Therefore, it takes 183 bounces for the ball to bounce back to a height of less than 3 inches (Option 2).

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Answer:

14:10

Step-by-step explanation:

We are given that the total train journey from Reading to Worle is the same for all trains

For the first train the time taken = 13:45 - 12:05

13:45
   -
12:05
--------
1 : 40
--------

So total travel time = 1 hour 40 minutes

For the third train time taken
15:05  -  13:25

15:05 = 14:05 + 0:60 since there are 60 minutes in an hour (we carry 60 from the hours part)

14:05 + 0:60 = 14:65

15:05 - 13:25 =

14:65
   -
13:25
---------
1 : 40 or 1 hour 40 minutes same as train #1

We want to find the arrival time of train #2 at Worle

Departure time of train #2 from Reading = 12:30

Time of travel = 1 hour 40 minutes

Arrival time = 12:30 + 1:40

12:30 time
   +
 1: 40  hours
----------
13:70   time
------------------
Since there are 60 minutes in 1 hour, to convert 13:70 to proper time units
subtract 60 from 70 to get the minute part of time and add 1 to 13 to get the hour part of time

13:70 = 14:10

Therefore the time that goes into the gap = 14:10

Verify

If the second train leaves Reading at 12:30 and arrives at Worle at 14:10, then time taken =

14:10 - 12:30 = 13:70 - 12:30 = 1:40 = 1 hour 40 minutes

Hope that helps and please don't hesitate to ask more questions if you have not fully understood my explanation

Answer:

1 : Grouping Symbol

2 : Operator

3 : Order of Operations

4 : Exponent

5 : Variable

6 : Term

7 : Coefficient

8 : Constant

9 : Numerical Expression

10 : Variable Expression

11 : Equation

12 : Inequality

13 : Evaluate

14 : Open Sentence

The measure of the indicated arc angle is 134 degrees.

The angle subtended by the arc at the centre of the circle is the angle of the arc.

Therefore, the central angle of an arc is the angle at the centre of the circle between the two radii subtended by the arc.

Hence, the central angle is also known as the arc's angular distance.

Therefore, the measure of an arc is the measure of its central angle.

Hence, the measure of the indicated arc is 134 degrees.

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Answer:

60000 ty ..............

Answer:

60000

..............

what a difficult question !!! Do not ask such difficult questions ..lol

Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

Answer:

yes

Step-by-step explanation:

because if you multiply 6 and n it is 6n and 6 x 3 are 18 but subtract 4 and it is correct

Consider the missing part of the question is "Select the correct statement.

A. The number of employees is increasing by 50% every year.

B. The number of employees is decreasing by 10% every year.

C. The number of employees is decreasing by 90% every year.

D. The number of employees is increasing by 90% every year."

Given:

The function is:

\(f(t)=1.5(0.90)^t\)

Where, f(t) is the number of employees working at a company, in thousands and t is the number of years since the company revised the benefits package.

To find:

The correct statement from the given options.

Solution:

The general exponential decay model is:

\(f(t)=a(1-r)^t\)         ...(i)

Where, a is the initial value, r is the rate of decay and t is the number of years.

We have,

\(f(t)=1.5(0.90)^t\)

It can be written as

\(f(t)=1.5(1-0.10)^t\)        ...(ii)

From (i) and (ii), we get

\(a=1.5,r=0.10\)

The initial value is 1.5 and the rate of decay is 0.10 or 10%. It means the number of employees is decreasing by 10% every year.

Therefore, the correct option is B.

a. The approximate value of the y-intercept is

b. The approximate value of the slope is

c. The expected number of cones of ice cream when the temperature is 30°C is 90°C.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (100 - 60)/(45 - 5)

Slope (m) = 40/40

Slope (m) = 1

At data point (5, 60) and a slope of 1, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 60 = 1(x - 5)  

y = x - 5 + 65

y = x + 60

Part a.

Based on the equation above, the y-intercept is equal to 60.

Part b.

Based on the equation above, the slope is equal to 1.

Part c.

In this scenario, the expected number of cones of ice cream when the temperature is 30°C;

y = x + 60

y = 30 + 60

y = 90°C.

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The formula for the area of a circle is given by πr², where pi is approximately equal to 3.14 and r is the radius of the circle.

What is the purpose of 2 pi r squared?

The formula to determine a circle's diameter is 2πr, while the formula to determine a process's area is πr². The circumference and area of a circle are equal to 2πr and πr², respectively. Let's examine these two formulas in more depth.

To find the area, we first need to find the radius. The diameter of the circle is 18, so the radius can be found by dividing the diameter by 2:

r = 18 / 2

r = 9

Now that we have the radius, we can use the formula for the area of a circle:

A = pi * r²

A = 3.14 * 9²

A = 3.14 * 81

A = 254.34

So the area of the circle with diameter 18 is approximately 254.34 square units.

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Answer:

$17,184.80.

Step-by-step explanation:

Jessica's loan for home renovations is for $17,100 for 54 days. The bank charges simple interest at an annual rate of 9.65%. To calculate the interest charged, first, we need to find the daily interest rate, which is 9.65% divided by 365, resulting in 0.0264%. The total interest charged on the loan is $84.80, which is calculated by multiplying the daily interest rate by the loan amount and the number of days (0.000264 x $17,100 x 54). Therefore, Jessica's total amount owed to the bank at the end of the loan term is $17,184.80.

Answer:

\(5\sqrt{2} \\45\)

Step-by-step explanation:

just multiply

Answer:

a) 5√2

b) 135

Step-by-step explanation:

√5·√10 is equivalent to √50, which in turn is equivalent to √25·√2, or 5√2.

√27·√75 can be simplified by factoring:

√3·√9·√3√25, or (because √3·√3 = 3):

(3)(9)(5) = 135

We have an odd degree polynomial wit a positive leading coefficient, then the end behavior is:

as x → ∞, f(x) → ∞

as x → -∞, f(x) → -∞

Here we have the function:

f(x) = -10 + 6x^5 + 4x^3

Notice that this is a polynomial of degree 5 (odd degree).

When we have a odd degree polynomial, we know that:

If the leading coefficient is positive, then the end behavior is:

as x → ∞, f(x) → ∞

as x → -∞, f(x) → -∞

If instead, the leading coefficient is negative, then:

as x → -∞, f(x) → ∞

as x → ∞, f(x) → -∞

For the case of:

f(x) = −10+6x^5+4x^3

The leading coefficient is 6, so it is positive, then the end behavior of our function is:

as x → ∞, f(x) → ∞

as x → -∞, f(x) → -∞

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The values into the slope-intercept form, we have y = -5x - 6

The slope-intercept form of a linear equation is given by:

y = mx + b

where 'm' represents the slope of the line, and 'b' represents the y-intercept.

In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).

The slope is given as -5.

Therefore, substituting the values into the slope-intercept form, we have:

y = -5x - 6

This equation represents the line with a y-intercept of (0, -6) and a slope of -5.

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Answer:

Y= -4

Step-by-step explanation:

According to the rules of GEMDAS, division precedes subtraction.

Substitute 20 into where X is in the equation, so it would look like:

20/5-8=Y

From here, simplify. 20/5 is 4. 4-8=-4

Here's how work would look like on my paper"

X/5-8=Y

20/5-8=Y

4-8=Y

Y=-4

Answer:

23.5 inches

Step-by-step explanation:

that's what I got

Answer: c. 7

Step-by-step explanation: it’s 7. I got that answer

Answer:

it is 7

Step-by-step explanation:

i got it right on quiz

Answer:

Step-by-step explanation:

You want Elga's age, given that Alvin is 15 years younger and the sum of their ages is 43.

Let e represent Elga's age. Then (e-15) is Alvin's age, and the sum of their ages is ...

  e +(e -15) = 43

  2e = 58 . . . . . . . add 15

  e = 29 . . . . . . . divide by 2

Elga's age is 29.

  e -15 = 29 -15 = 14 . . . . Alvin's age

If each classroom can accommodate less than 15 kids, then we can assume that the maximum number of kids in each classroom is 14 (since 15 is not allowed). Therefore, the maximum number of kids in all 12 classrooms would be:

Max number of kids = 14 kids/classroom x 12 classrooms = 168 kids

So the kindergarten section can accommodate a maximum of 168 kids.

We can write this as an inequality as follows:

Let K be the number of kids in the kindergarten section. Then:

K ≤ 168

This inequality says that the number of kids in the kindergarten section (K) is less than or equal to 168. As long as the number of kids is less than or equal to 168, the kindergarten section can accommodate them all.

Answer:

Make the -4 exponent in the denominator positive.

To draw a histogram we first need to draw the bins, since we have eight classes, we will need to draw eight equal lengths. After we do this, we draw rectangles with a height representing the frequency of each class. Then the histogram of this table is:

To find the median of grouped data we have to use the formula:

where:

• L is the lower boundary point of median class

• n is the total frequency

• cf is the cumulative frequency of the class preceding the median class

• f is the frequency of the median class

• c is the class length of median class

Then we need the cumulative frequency of each class, this is shown in the following table:

To find the median class we divide the total number of observations by two, then we get 250. Now, we look at the class where this cumulative frequency will lie; from the previous table we notice that this happens in the 20-29 class.

Since we need the real limits we will use the median class as 19.5-29.5. Once we know this, we have that:

Plugging these values, we have:

Therefore, the median is 27.7353

There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

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The amount more in income tax that Cho pays than Helen each month would be £56.

First, find Helen's yearly salary :

= 1, 720 x  12

= £ 20, 640

Both Cho's and Helen's annual salaries fall within the Basic rate tax bracket.

Cho 's monthly tax would be:

= (( 24, 000 - 12, 570 ) x 20 % ) / 12

= £ 190. 50

Helen's monthly tax :

= (( 20, 640 - 12, 570 ) x 20 % ) / 12

= £ 134.50

The difference is therefore :

= 190. 50 - 134.50

= £56

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Answer:

\(\huge\boxed{\sf 1}\)

Step-by-step explanation:

Given the expression:

= 9 - b

Given that b = 8

= 9 - 8

= 1

\(\rule[225]{225}{2}\)

Hope this helped!

Okay so we are asked to solve 9 - b, and we are told that b=8

Therefore this is just a matter of substitution:

9 - b

Substitute 8 for b:

9 - 8

Now just finish solving:

1

Therefore, the answer is 1

Hope this helped :)