14.
The bar graph shows the enrolment of ALS Community Learning Center in
Barangay Esperanza for calendar years 2014-2018. What year has the least
number of enrollees?
160
140
120
100
80
60
40
20
0
2014
2015
2016
2017
2018​

The average rate of change over is 1.

Given that;

the function is,

⇒ g (t) = - (t - 1)² + 5

Hence, We need to determine the average rate of change over the interval - 4 ≤ t ≤ 5.

The value of G(-4):

The value of G(-4) can be determined by substituting t = -4 in the function

⇒ g (t) = - (t - 1)² + 5

Thus, we have,

⇒ g (t) = - (-4 - 1)² + 5

⇒ g (t) = - 20

Thus, the value of G(-4) = -20

The value of G(5):

The value of G(5) can be determined by substituting t = 5 in the function , we get,

⇒ g (t) = - (t - 1)² + 5

⇒ g (t) = - (5 - 1)² + 5

⇒ g (t) = - 11

Thus, the value of G(5) is, -11

Now, Average rate of change:

The average rate of change can be determined using the formula,

⇒ G(b) - G (a) / (b - a)

where, a = - 4 and b = 5

Substituting the values, we get,

⇒ G(5) - G (-4) / (5 - (-4))

⇒ ( - 11 - (- 20)) / 9

⇒ 9/9

⇒ 1

Thus, the average rate of change over the interval is. 1.

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Answer:

scale factor = 1.5

Step-by-step explanation:

15 / 10 = 1.5

10 * 1.5 = 15

The price of the cost per quart of laundry detergent is A = $ 3.47

Given data ,

Let the unit cost rate be A

Now , There are 4 quarts in a gallon, so a 2-gallon container contains 8 quarts.

To find the price per quart, we can divide the total cost by the number of quarts:

Price per quart = Total cost / Number of quarts

Price per quart = $27.76 / 8 = $3.47

Hence , the price per quart of laundry detergent is $ 3.47

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Answer:

This is a simple multiplication problem.

Here is my steps:

(14x^3 + 35x^2 + 4x + 10x + 8x + 20)

Combine like terms:

(14x^3 + 35x^2 + 22x + 20)

And that is your answer^^

Answer:

14x3+ 39x2 +8x +20

Step-by-step explanation:

Use the distributive property and/or the FOIL (front, outer, inner, last) method.

First:

Multiply (7x2)(2x)

=14x3

Then (7x) (5)

=35x2

Second:

Multiply (2x)(2x)

=4x2

Then (2x)(5)

=10

Third:

Multiply 4(2x)

=8x

Then (4)(5)

=20

You should get:

14x3 +35x2 +4x2 +10 +8x +10

Add all common numbers.

You should get:

14x3+ 39x2 +8x +20

Answer:

B

Step-by-step explanation:

it's not the other options, and it only contains one variable with constant change

Answer:

b

Step-by-step explanation:

Answer: : Instead of trying to solve that problem, state a simpler Ten people are being problem and solve it instead. honored for their work in reducing pollution. In how many ways can we line up these people for a picture? Which of the following is & simpler version of the given problem? In how many ways can ten people be selected from group of fifteen people? In how many - ways can three people be selected from group of ten people? In how many ways can three people be lined up for a picture? how many ways can fifteen people be lined Up for a picture What is the solution to this simpler problem? waj: ~Fe 7 ( andanen cick Check Answ

Answer:

Step-by-step explanation:

y = a * log_b (x - h) + k

(h,k) = (x,y)

h = shift right/left

k = shift up/down

Original Points of y = log_3

y = log_3 (x + 2)

h = -2 thus shift left.

Asymptote: x = -2
Domain: [-2 , +inf)

Range: (-inf , +inf)

Answer:

84 units

Explanation:

If B is the midpoint of line AC, then B divides AC into two equal parts (AB and BC).

Therefore:

AB=BC

2x-8=x+17

2x-x=17+8

x=25

Therefore, the measure of the line segment AC

=2(2x-8)

=2(2(25)-8)

=2(50-8)

=2(42)

AC=84 units

Answer:

x= y+7/3

y=3x-7

​

Step-by-step explanation:

MY BRAIN

Answer:

3.5 X 10^3

Step-by-step explanation:

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

x=5

Step-by-step explanation:

Considering they are similar they should be equally proportioned.

A way to write and represent this is

\(\frac{9}{5} =\frac{x+1}{3.33}\)

Which means that

\(1.8*3\frac{1}{3} = x+1\)

Or

6=x+1

Then you get x by itself by subtracting 1 and you'll get

5=x

Or x=5

Let the girl has 'x' dimes and 'y' quarters.

Consider the following conversions,

Given that the number of dimes is six times the number of quarters,

Also, it is given that the total worth is $37.40,

Then the value of 'x' is obtained as,

Thus, the girl has 264 dimes and 44 quarters.

Answer:

Step-by-step explanation:

The exponent is -3, making it 10 to the power of negative 3. When an exponent is negative, the solution is a number less than the origin or base number. To find our answer, we move the decimal to the left 3 times:

9.2 -> 0.0092

The answer is D.

Answer:

0.0092.

Step-by-step explanation:

I have an explanation on this same question. Apparently, you have a duplicate of this.

Scientific e Notation: 2.2222222e+57

Scientific Notation: 2.2222222 x 10^57

Answer:

I am pretty sure the answer is 2.2222222e+57.

Answer:

A

Step-by-step explanation:

A because a markup means the price times the number given which was 32% and 32% is the same as 0.32.

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Let the four unknown interior angles measurement be 'x' , 'x' , 'x' & 'x' (One angle measurement is 160°)

As, Sum of interior angles of any polygon measures 560°, (Refer: Something Before)

⇒ 160° + x° + x° + x° + x° = 540°

⇒ 160° + 4x° = 540°

⇒ 4x° = 540° - 160°

⇒ 4x° = 380°

⇒ x° = 95°

∴ The measurement of each of the other angles is 95°.

⇒ 160° + 95° + 95° + 95° + 95° = 540°

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Answer: -72 I think

Step-by-step explanation:

Hope this helps :)

Answer:

43 students were in each bus

Step-by-step explanation:

Total students: 395

Students travelled in cars: 8

Students travelled in buses: 395-8=387

Number of buses filled:9

Number of students in each bus: 387÷9=43

Answer:

8 dollars

Step-by-step explanation:

Answer:

  4

Step-by-step explanation:

You are given a table of function values in which x increases by 2, and you want to know the factor by which f(x) increases when x increases by 1.

Let k represent the factor by which f(x) increases when x increases by 1. This means ...

  f(2) = k·f(1)

  f(3) = k·f(2) = k·(k·f(1)) = k²·f(1)

  64 = k²·4

  k² = 64/4 = 16

  k = √16 = 4

The output value increases by a factor of 4 as the input value increases by 1.

__

Additional comment

The table values would also be obtained if the factor of increase were -4. That is, f(x) = -(-4)^x would give the same table. In that case, f(x) would not be a continuous function.

On factoring the polynomial 6z² + 6z the values for length and width are obtained as 6z and z + 1.

What is a polynomial?

Polynomial is formed composed of the phrases Nominal, which means "terms," and Poly, which means "many." An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

We can factor the polynomial 6z² + 6z by taking out the greatest common factor, which is 6z -

6z² + 6z = 6z(z + 1)

This means that the area of the wall is equal to 6z(z + 1) square meters. Since the area of a rectangle is given by the product of its length and width, we can write -

6z(z + 1) = length × width

Therefore, the possible expressions for the length and width of the wall are -

length = 6z

width = z + 1

or

length = z + 1

width = 6z

Both of these expressions give a product of 6z(z + 1), which is equal to the area of the wall.

We can switch the roles of length and width, so there are two possible expressions for the dimensions of the wall.

Therefore, the length is 6z and width is z + 1.

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Answer:

x = 94

Step-by-step explanation:

Triangles are always 180 degrees in total. In order to find the value of x, you would have to add 73 and 13, which gives you 86. Now, all you have to do is 180-86, which gives you 94. Therefore,

x = 94

Answer:

\(\textsf{Slope form}: \quad y=-\dfrac{4}{5}x-\dfrac{26}{5}\)

\(\textsf{Standard form}: \quad 4x+5y=-26\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}\)

Given equation:

\(5x-4y=1\)

Rewrite in slope-intercept form:

\(\implies 5x-4y+4y=1+4y\)

\(\implies 5x=1+4y\)

\(\implies 5x-1=1+4y-1\)

\(\implies 5x-1=4y\)

\(\implies \dfrac{5}{4}x-\dfrac{1}{4}=\dfrac{4y}{4}\)

\(\implies y=\dfrac{5}{4}x-\dfrac{1}{4}\)

Therefore, the slope of the line is ⁵/₄.

If two lines are perpendicular to each other, their slopes are negative reciprocals.

Therefore, the slope of the perpendicular line is -⁴/₅.

Substitute the found slope -⁴/₅ and given point (1, -6) into the slope-intercept formula and solve for b:

\(\implies -6=-\dfrac{4}{5}(1)+b\)

\(\implies -6=-\dfrac{4}{5}+b\)

\(\implies b=-\dfrac{26}{5}\)

Therefore, the equation of the perpendicular line in slope form is:

\(y=-\dfrac{4}{5}x-\dfrac{26}{5}\)

\(\boxed{\begin{minipage}{5.5 cm}\underline{Standard form of a linear equation}\\\\$Ax+By=C$\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are constants. \\ \phantom{ww}$\bullet$ $A$ must be positive.\\\end{minipage}}\)

Multiply both sides of the equation in slope form by 5:

\(\implies y \cdot 5=-\dfrac{4}{5}x\cdot 5-\dfrac{26}{5}\cdot 5\)

\(\implies 5y=-4x-26\)

Add 4x to both sides:

\(\implies 5y+4x=-4x-26+4x\)

\(\implies 4x+5y=-26\)

Therefore, the equation of the perpendicular line in standard form is:

\(4x+5y=-26\)