What is the percent of change from 100 to 32?

The inequality represented by the graph is given as follows:

y > 3x - 4.

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

y = mx + b.

In which:

The graph crosses the y-axis at y = -4, hence the intercept b is given as follows:

b = -4.

When x increases by 1, y increases by 3, hence the slope m is given as follows:

m = 3.

Hence the equation of the line is:

y = 3x - 4.

The inequality is composed by the values to the right (greater) of the line, and has an open interval due to the dashed line, hence:

y > 3x - 4.

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Determine the solution to the system. Explain students steps to solving the systems of equations.

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\(\Large{\underline{\mathcal{Given:}}}\)

ᴇǫᴜᴀᴛɪᴏɴs:

1️⃣➤x -4y = 7

2️⃣➤5x + 9y = 6

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\(\Large{\underline{\mathcal{ToFind:}}}\)

x and y values .

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\(\Large{\underline{\mathcal{Solution:}}}\)

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➠Here the elimination method is used as it is in the form of

where the two variables are unknown

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➠The two equations are added or subtracted to get one unknown value and later the identified value is substituted in either of the equation in order to get the another unknown value

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ʙʏ ᴇʟɪᴍɪɴᴀᴛɪᴏɴ ᴍᴇᴛʜᴏᴅ :

1️⃣➤x -4y = 7

2️⃣➤5x + 9y = 6

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➠First equation is multiplied with the suitable number in order to get any of the x or y values cancelled

then,

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1️⃣ ×-5➤-5x +20y = -35

2️⃣ ➤ 5x +9y = 6

___________________

\( \:\:\:\)➺29y = -29

\( \:\:\:\)➺y =- 29/29

\(\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ y = \frak{\pink{-1}}}}}\)

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Now,

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➠ the identified value is substituted in either of the equation in order to get the another unknown value

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1️⃣➤x -4y = 7

\( \:\:\:\)➺x - 4(-1) = 7

\( \:\:\:\)➺x +4 = 7

\( \:\:\:\)➺x = 7-4

\(\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ x = \frak{\red{3}}}}}\)

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Answer:

x = 0,-3

y = 1,-2

Step-by-step explanation:

We can substitute x+1 for x in the second equation

x(x+1) + 2x = 0

x^2 + 3x = 0

x(x+3) = 0

x = 0,-3

y = 1,-2

Answer:

133,860

Step-by-step explanation:

The baker was going to sell his house for 145,500 but he found that no one came to buy, so he decreased the amount by "8%".

* No we have our key elements:

- Starting amount = 145,500

- Rate of change = 8%

* We will get the "8%" of the number 145,500

- Firstly, "8%" means 8/100

- So, 0.08 will be our new rate of change.

* 145,500 will be multiplied by 0.08 to find the final answer because when we talk about the percentage of a number, we are going to talk about a part of it.

- 145,500 × 0.08 = 133,860 ; the same as

145,500 × 8/100 = 133,860

The scenario that could be represented by this graph is option: 3.

The rate of change of height represents the change in height with time.

Here, the given graph represents:

For some time the water level of the Humpy Dam doesn't change.

After a heavy rain spell, the water level rises, increasing at a constant rate.

After the rain subsides, it levels off again.

Here, the x-axis represents time and the y-axis represents the height of the water behind the dam.

The water height behind the dam was constant for a certain period. After rainfall, the height of the water increased at a constant rate. When the rain stopped, the water height behind the dam is constant at a newer height.

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The equation of each line that satisfies the given conditions are:

1. y - 2 = 5/2(x - 3)

2. y - 4 = m(x + 3)

3. y = -3x + 5

1. Given the points, (3, 2) and (5, 7), find the slope (m):

Slope (m) = change in y / change in x = (7 - 2)/(5 - 3)

m = 5/2

Write the equation in point-slope form by substituting m = 5/2 and (a, b) = (3, 2) into y - b = m(x - a):

y - 2 = 5/2(x - 3)

2. Given:

A point = (-3, 4)

Slope (m) = 2

Substitute (a, b) (-3, 4), and m = 2 into y - b = m(x - a):

y - 4 = m(x + 3) [equation of the line]

3. Given:

Slope (m) = -3

Y-intercept (b) = 5

Substitute m = -3 and b = 5 into the equation y = mx + b:

y = -3x + 5

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

11

Step-by-step explanation:

6^2+9^2=c^2

36+81=c^2

117=c^2

\(\sqrt{117\\\)

11

Answer:

y=2/3

Step-by-step explanation:

2y+4y=6-3y

⇔ 2y+4y+3y=6

⇔ 9y=6

⇔ y=6/9=2/3

The answer is:

y = 2/3

Work/explanation:

For now, I focus on the left side and combine the like terms:

\(\bf{2y+4y=6-3y}\)

\(\bf{6y=6-3y}\)

Add 3y to each side

\(\bf{6y+3y=6}\)

Combine like terms

\(\bf{9y=6}\)

Divide each side by 9

\(\bf{y=\dfrac{6}{9}}\)

\(\bf{y=\dfrac{2}{3}}\)

Hence, the answer is 2/3.

Answer:

D) X-12

Step-by-step explanation:

imagine that X = 2 or any number less than 12

A) 12 - X = 12 - 2 = 10

B) 12X = 12 ×2 = 24

C) X + 12 = 2 + 12 = 14

D) X - 12 = 2 - 12 = -10

So, the smallest number is (D)

Hope it's help.

Answer:

It's option B, (f • g)(x) = 3x^3 + 6x^2 - 5x - 10

Step-by-step explanation:

In this problem, we are dealing with a branch of functions called composite functions. What the difference is between normal and composite functions is that we instead of defining a value for f(x), take two functions, f(x) and g(x), in the form of f and g. For instance, h(x) = g.

• Take the products of both functions.

f(x)g(x) = 3x²+5 • x-2

• Next, expand the functions. We expand by combining like terms.

= 3x^3 - 6x^2 + 5x - 10

Since the function cannot be simplified further, this leads to option B being our answer.

Hope this helps!

The rate of the slower car is 77km/hr

Velocity is the rate of change of displacement with time. It is measured in meter per second and it is a vector quantity.

velocity = displacement/time

displacement = velocity × time

represent the faster car by v1 and the slower car by v2

v1 = v2+16

V2 = v1-16

Total displacement = 680km

680 =( v1+V2)t

680 = (v1+V2)4

v1+v2 = 680/4

v2+16+v2 = 170

2v2 = 170-16

2v2 = 154

v2 = 154/2

v2 = 77km/hr

therefore the rate of the slower car is 77km/hr

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Answer:

what are the choices of answers

Step-by-step explanation:

Answer:

X    |   y

---------------

-2   |   3

-1   |   0

0   |  -3

1   |  -6

Answer:

false

Step-by-step explanation:

hope this helps✨

Answer:

780

Step-by-step explanation:

In this example we will call Original Price = y

72%=0.72

218.40=0.72*y

1-0.72=0.28

218.4÷0.28=780

Answer:

The final price is $33.80.You saved $18.20.

Step-by-step explanation:

Answer:

The original price was $80.

Step-by-step explanation:

The original price is x.

x is the full original price, so it is 100% of the original price.

The sale is 35%, so we subtract 35% from 100%.

100% - 35% = 65%

Since the discount was 35%, then the sale price is only 65% of the original price.

65% of the original price is $52

65% * x = 52

0.65x = 52

x = 52/0.65

x = 80

Answer: The original price was $80.

Answer:

The length of segment Pc is 2cm as well.

The solution is,  the original number in the work force is 190.76.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

A 35% decrease resulted in a new work force number of 124.

let, the original number in the work force is  x

then,

x - x*35% = 124

or, x - 0.35 x = 124

or, 0.65 x = 124

or, x = 190.76

Hence, The solution is,  the original number in the work force is 190.76.

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Answer:

=

Step-by-step explanation:

The options that supports that rational numbers are close under addition are:

Firstly we define rational numbers as numbers that can form a fraction consisting of integers excluding zero.

Rational numbers are close under addition that means that addition of two rational numbers will not create a irrational number

The given problem

adding the fraction 1/3 + 1/3 = 2/3

all the numbers involved here are rational numbers

√9 + √9 = 2√9

√9 is a rational number since √9 = 3.

2√9 is also a rational number

√2 and √6 are irrational numbers.

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Answer:

\(horizontal : 76 \\ \\ \\ vertical : 33 \\ \\ pls \: check \: this \: answer \\\)

Answer:

1/4

Step-by-step explanation:

The third side of the triangle 12.5

A triangle is a polygon with three edges and three vertices. The important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.

we the measurements of given two sides of the triangle 16.5 and 29

In a triangle, the sum of any two sides should be greater than the third side and the difference between any two sides should be lesser than that of the third side.

The sum of two sides rule

\(x + 16.5 > 29\\ x > 29 - 16.5\\ x > 12.5\\\)

The difference between the two sides rule

\(29 - 16.5 < x \\ 12.5 < x\)

Therefore, the value of x is 12.5

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Solving the quadratic equation, it is found that:

A quadratic function is given according to the following rule:

\(y = ax^2 + bx + c\)

The solutions are:

\(x_1 = \frac{-b + \sqrt{\Delta}}{2a}\)

\(x_2 = \frac{-b - \sqrt{\Delta}}{2a}\)

In which:

\(\Delta = b^2 - 4ac\)

If a < 0, the graph, which is a parabola, is concave down, that is, it is positive only between the two roots.

In this problem, the equation is:

\(y = -16t^2 + 176t - 384\)

Then, the solution is:

\(-16t^2 + 176t - 384 = 0\)

The coefficients are \(a = -16, b = 176, c = -384\), then:

\(\Delta = (176)^2 - 4(-16)(-384) = 6400\)

\(x_1 = \frac{-176 + \sqrt{6400}}{-32} = 3\)

\(x_2 = \frac{-176 - \sqrt{6400}}{-32} = 8\)

Considering that the parabola is concave down, we have that:

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Answer:

Step-by-step explanation:

Each intercept is found by setting the other variable to zero and solving for the variable value of interest.

  2x +3y = 54

x-intercept:

  2x = 54

  x = 27

y-intercept:

  3y = 54

  y = 18

__

By definition, the intercept values are the values that satisfy the equation when the other variable is zero.

x-intercept: To score 54 points, the team would have to make 27 2-point baskets if no 3-point baskets were made.

y-intercept: To score 54 points, the team would have to make 18 3-point baskets if no 2-point baskets were made.

Answer:

Second and third answer

Step-by-step explanation:

Correct :

Second : 30,31,32

this is because it makes it GREATER than 10 and we are looking for equal or greater than 10.

Third : 30 , 29 , 28

Again same reason

Wrong :

First : 0

This is wrong because it would plug in as (0)(6) + 5 ≥10

solve it :

0*6 = 0 so

0+5 ≥10 , so i tis wrong

Last option : -30,-29,-28

This is because multiplying negative with positive number woulf get a negative number. And the adding 5 would make it greater but wont be enough to change it to a positive number equal to or greater than 10.

The simplified expression is: -1/5x^2 - 2/5xy - y^2 - 1.5y + 1.

Simplifying expressions mean rewriting the same algebraic expression with no like terms and in a compact manner.

To do this, we need to distribute the negative sign to the terms in the second set of parentheses and combine like terms. Let's start by distributing the negative sign:

(3/5x^2 - .4xy - 1.5y + 1) - y^2 + 2/5xy - .6x^2

Next, let's group the like terms together:

3/5x^2 - .6x^2 - .4xy + 2/5xy - 1.5y - y^2 + 1

Now, we can simplify by combining like terms:

1/5x^2 - 2/5xy - y^2 - 1.5y + 1

Therefore, the simplified expression is: -1/5x^2 - 2/5xy - y^2 - 1.5y + 1.

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