Describe how to graph the solution of y ≤ −x² + 2x.

Answer:

Step-by-step explanation:

Slope-intercept form of the equation is y = mx + c

Where m = slope of the line

c = y- intercept

a). 3x + 4y - 12 = 0 [Standard form of the equation of a line]

4y + 3x = 12

4y = 12 - 3x

[tex]y=\frac{1}{4}(-3x+12)[/tex]

[tex]y=-\frac{3x}{4}+\frac{12}{4}[/tex]

[tex]y=-\frac{3x}{4}+3[/tex]

Here slope of the line is [tex]-\frac{3}{4}[/tex] and y-intercept is 3.

b). 2x + y = 1

y = -2x + 1

Slope of the line is -2 and y intercept is 1

A repeating decimal, also called a recurring decimal, is a number whose decimal representation eventually becomes periodic (i.e., the same sequence of digits repeats indefinitely). The repeating portion of a decimal expansion is conventionally denoted with a vinculum so, for example,

The minimum number of digits that repeats in such a number is known as the decimal period.

Repeating decimal notation was implemented in versions of the Wolfram Language prior to 6 as PeriodicForm[RealDigits[r]] after loading the add-on package NumberTheory`ContinuedFractions`.

All rational numbers have either finite decimal expansions (i.e., are regular numbers; e.g., ) or repeating decimals (e.g., ). However, irrational numbers, such as neither terminate nor become periodic.

Numbers such as 0.5 are sometimes regarded as repeating decimals since.

Answer:

B: 2.3 x 10^18

expination:

Substitute values into the formula.

F x L = 3.0 x 10*10

F x 1.3 x 10^−8 = 3.0 x 10^10

F = 3.0 x 10^10 1.3 x 10^−8 F = 2.3 x 10^18

Answer:

The correct answer is (19).

Step-by-step explanation:

Answer:

The total loan payment is:is $1,024,050

Step-by-step explanation:

To know the total cost of this loan we must sum the the purchasing the mortgage loan LM and the PMI:

L=LM+PMI

The 30-year mortgage loan of $205,000 at 5.5% interest rate can be calculated as:

LM=$205,000*(1+0.055)^30

LM=$205,000*4.984 = $1,021,710

Then for the PMI over 24 months:

PMI: $97.5* 24 = $2,340

Therefore the total loan payment is:

L= $1,021,710 + $2,340 = $1,024,050

The length and width of the rectangle are [tex]13[/tex] cm and [tex]9[/tex] cm respectively whose area is [tex]117 cm^2[/tex].

Let the width of the rectangle be [tex]x[/tex].

Then the length of the rectangle is [tex]x+4[/tex].

Area of a rectangle [tex]=[/tex] length [tex]\times[/tex] width

Area [tex]= 117 cm^2[/tex]

[tex](x+4) \times x = 117[/tex]

[tex]x^2+4x=117[/tex]

[tex]x^2+4x-117=0[/tex]

[tex]x^2+13x-9x-117=0[/tex]

[tex]x(x+13)-9(x+13)=0[/tex]

[tex](x+13)(x-9)=0[/tex]

[tex]x+13=0, x-9=0[/tex]

[tex]x=-13, x=9[/tex]

Since, length cannot be negative. So, [tex]x=-13[/tex] is not possible.

So, [tex]x=9[/tex].

And [tex]x+4=13[/tex]

So, length [tex]= 13[/tex] cm and width [tex]= 9[/tex] cm.

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The model which represents the total amount in terms of pennies, quarters, dimes and nickel is 0.25q + 0.10d + 0.05n + 0.60

To create a mathematical model of the total amount :

Therefore, the model which represents the total amount is 0.25q + 0.10d + 0.05n + 0.60

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The linear equation is y = 2x+ 27.

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given:

points: (-7, 13)  and slope =2

As, we know the equation of line

y= mx +b

as, the line passes through the point (-7, 13) and m= 2

13 = 2(-7) +b

13 + 14 = b

b= 27

Hence, the equation of line is y = 2x+ 27

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If Mrs. smith's reading class can read a mean of 175 words per minute with a standard deviation of 20 words per minute. The top 3% of the class is to receive a special award. The minimum number of words per minute a student would have to read in order to get the award will be: 213 words per minute

Using this formula

Minimum number of words =(z score× standard deviation)  + means

Where:

z score=(100%-3%=97%)

z score= 97%=1.881

Standard deviation=175

Mean=20

Let plug in the formula

Minimum number of words =(1.881×20) + 175

Minimum number of words =37.62+175

Minimum number of words =212.62

Minimum number of words =213 (Approximately)

Inconclusion if Mrs. smith's reading class can read a mean of 175 words per minute with a standard deviation of 20 words per minute. The top 3% of the class is to receive a special award. The minimum number of words per minute a student would have to read in order to get the award will be: 213 words per minute

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Answer:

The period, in seconds to two decimal places is, 2.84 sec

Step-by-step explanation:

Using formula:

[tex]T = 2 \pi \sqrt{\frac{l}{g}}[/tex]             ......[1]

where

T represents the Time period in second

l represents the length of the pendulum/

As per the statement:

Use the gravitational constant g = 9.8 m/s^2 , length of the simple pendulum(l) = 2 meters and [tex]\pi = 3.14[/tex]

Substitute the given values we have;

[tex]T = 2\cdot 3.14 \cdot \sqrt{\frac{2}{9.8}}[/tex]

⇒[tex]T = 6.28 \cdot \sqrt{\frac{1}{4.9}}=6.28 \cdot \frac{1}{2.21359436212}= \frac{6.28}{2.21359436212} = 2.83701481512[/tex]

Therefore, the period, in seconds to two decimal places is, 2.84 sec

Answer:

2.84 seconds

Step-by-step explanation:

Answer:a and e

Step-by-step explanation:

Got it right

Answer:

Step-by-step explanation:

the answer is 9

y = 4x+4

 give x a number that is on the X axis line to make it a little easier

 so lets say x = 2

replace x in the equation with 2

y = 4(2) +4

so y = 8+4 =12

 s0 put a dot where x is 4 and y is 12

 do the same thing with another number then draw a straight line through both those points

The value of y when x is 3 in the equation "y = 4x + 4" is 16. This linear relationship reflects a consistent rate of change, with each unit increase in x corresponding to a 4-unit increase in y.

In the equation "y = 4x + 4," to find the value of y when x is 3, we substitute x with 3:

y = 4(3) + 4

y = 12 + 4

y = 16

Therefore, when x is 3, y is 16. This means the point on the graph is (3, 16). The equation represents a linear relationship where y depends on x with a constant rate of change of 4. For every 1-unit increase in x, y increases by 4 units due to the coefficient of x.

In summary, for the given equation "y = 4x + 4," when x is 3, y is 16. This relationship indicates a straight line with a slope of 4 and a y-intercept of 4.

The question probable may be;

Given the equation y = 4x + 4 find the value of y when x = 3.

The answer Y=1

:) hope this helps

The true statements about the linear inequality y > x - 2 are that the slope of the line is 1, the graph is a dashed line, the area above the line is shaded, and the graph intercepts the y-axis at (0, -2).

When analyzing the linear inequality y > x - 2, we can identify several characteristics that relate to its graph and the solutions it represents:

Answer:

She should have multiplied by 2 instead of dividing by 2.

Step-by-step explanation:

Note: The given equation is incorrect and second equation is missing.

Consider the given equation is

[tex]k=\dfrac{1}{2}mv^2[/tex]         ...(i)

The formula find by Lashandra is

[tex]m=\dfrac{k}{2v^2}[/tex]

We need to find the Lashandra’s error.

Multiply both sides by 2 in equation (i).

[tex]2k=mv^2[/tex]

Divide both sides by [tex]v^2[/tex].

[tex]\dfrac{2k}{v^2}=m[/tex]

It means, the formula find by Lashandra is incorrect. She should have multiplied by 2 instead of dividing by 2.

Answer:

a

Step-by-step explanation:

2021 edg

divide total pages by pages per minute

33 / 3 = 11 minutes