25p2 - 144need to factor

Correct option is B. All values that satisfy y < One-third (x) – 3 are solutions.

The existing disparities include

y<1/3x<-1

y<1/3x<-3

y = 1/3x - 1 and y = 1/3x - 3 are the associated equations for the following inequalities.

The value tables are

With regard to line 1 With regard to line 2

x   y   x   y

0  -1   0   -3

3    0   9   0

Draw straight lines between these ordered pairs on a coordinate plane.

The symbol for both inequalities is "," which denotes that everything is shaded below both dotted lines.

It is evident from the graph below that any values that fulfill the condition y = 1/3x - 3 are solutions.

The graph is showing x and y axis.

Therefore, choice B is the right one.

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Answer:

he lived at Ellis Island for three days, and his experience agrees with Freedman’s statement that families were afraid of the health examinations

Step-by-step explanation:

In the book immigrant kids, freeman gives readers a glimpse of what it was like to be new and young America. It talked about the journey and what life is like as soon as they arrive.

Pallegrini's experience about rigorous physical examination and the anxiety that followed agrees with freedman's statement about people being afraid of health examinations.

Answer:

he lived at Ellis Island for three days, and his experience agrees with Freedman’s statement that families were afraid of the health examinations

Step-by-step explanation:

i know all that touches the sunlight

Answer:

search it up on goggle lll

Answer:

3

Step-by-step explanation:

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

x = 1    y = 3    z = 1

Step-by-step explanation:

(1)  x - 3y - z = -9           (2)   -2x + y + 2z = 3        (3)   2x + y + 3z = 8

                                2x(1)     2x - 6y - 2z = -18      (2)  -2x + y + 2z = 3

                                                 - 5y = -15                           2y + 5z = 11

                                                      y = 3                            2(3) + 5z = 11

                                                                                            6 + 5z = 11

                                                                                                  5z = 5

                                                                                                    z = 1

       x - 3(3) - 1 = -9

       x - 9 - 1 = -9

            x - 10 = -9

            x = 1

Note:  If you write your equations across your paper, then the work can just flow down the paper.  It makes it so much easier to show the work you have done.  OK?

Answer:

Step-by-step explanation:

a. x is negative: x < 0

b. y is nonnegative: y ≥ 0

c. q is less than or equal to π: q ≤ π

Answer:

a.

2. x < 0

b.

2. y ≥ 0

c.

5. q ≤ π

Step-by-step explanation:

To express the given statements as an inequality, we need to determine the relationship between the given quantities.

a. The statement "x is negative" means that x is less than 0. Mathematically, we can represent this as x < 0.

b. The statement "y is nonnegative" means that y is greater than or equal to 0. Mathematically, we can represent this as y ≥ 0.

c. The statement "q is less than or equal to π" means that the value of q is either equal to π or less than π. Mathematically, we can represent this as q ≤ π.

Answer:

Step-by-step explanation:

The lengths of the sides of a 30-60-90 triangle are in the ratio 1:√3:2.

Let the length of the side opposite the 30° angle be 1, then the length of the side opposite the 60° angle is √3, and the length of the hypotenuse is 2.

sin(30°) = (leg opposite the 30° angle)/hypotenuse = 1/2

cos(60°) = (leg adjacent to the 60° angle)/hypotenuse = 1/2

Answer:

m<A = 133 degrees

m<B = 17 degrees

m<C = 30 degrees

Step-by-step explanation:

In a triangle, all the angles add up to 180 degrees.

So, adding all the angles gets us,

39x + 24

This equals 180 degrees so,

39x + 24 = 180

Subtract 24 from both sides,

39x + 24 - 24 = 180 - 24

39x = 156

Divide both sides by 39

x = 4

Now we have x = 4, we use this to plug in each equation of the angles.

m<A = 40(4) - 27 = 160 - 27 = 133

m<B = 25 - 2(4) = 25 - 8 = 17

m<C = 26 + 4 = 30

Using word problems and equations, Sarah worked for 10 hours and Penelope worked for 5 hours

This is a word problem and in order to solve this, we need to translate mathematical statements in form of word problems into mathematical equations.

Let's assume that Sarah worked x hours.

Given that Sarah can iron 30 shirts per hour, the total number of shirts she ironed is 30x.

Since Penelope worked half the hours of Sarah, Penelope worked x/2 hours.

Given that Penelope can iron 35 shirts per hour, the total number of shirts she ironed is 35 * (x/2) = (35/2)x.

The total number of shirts ironed by both Sarah and Penelope is 475 shirts.

So, we can write the equation: 30x + (35/2)x = 475.

To solve this equation, we can simplify it: (60/2)x + (35/2)x = 475, which becomes (95/2)x = 475.

Now, we can solve for x: x = (475 * 2) / 95 = 10.

Therefore, Sarah worked 10 hours and Penelope worked half of that, which is 5 hours.

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Answer:

speed in still water is v=40 speed of current

Answer:

C) \(x=\frac{\log(6)}{2\log(3)}\)

Step-by-step explanation:

\(15(3)^{2x}=90\\\\3^{2x}=6\\\\2x=\log_3(6)\\\\2x=\frac{\log(6)}{\log(3)}\\\\x=\frac{\log(6)}{2\log(3)}\)

Remember to use the change of base formula, which states that \(\log_a(b)=\frac{\log(b)}{\log(a)}\) so that everything has the same base of 10

The difference between their yearly incomes is $31,304.

To calculate each person's yearly income, we need to multiply their weekly income by the number of weeks in a year. Assuming there are 52 weeks in a year, the yearly income can be calculated as follows:

For the student who drops out of high school:

Yearly Income = Weekly Income x Number of Weeks

= 451 x 52

= 23,452

For someone with a bachelor's degree:

Yearly Income = Weekly Income x Number of Weeks

= 1053 x 52

= 54,756

The difference between their yearly incomes can be found by subtracting the student's yearly income from the bachelor's degree holder's yearly income:

Difference = Bachelor's Yearly Income - Student's Yearly Income

= 54,756 - 23,452

= 31,304

Therefore, the difference between their yearly incomes is $31,304.

It is important to note that these calculations are based on the given information and assumptions. The actual yearly incomes may vary depending on factors such as work hours, additional income sources, deductions, and other financial considerations.

Additionally, it is worth considering that educational attainment is just one factor that can influence income, and there are other variables such as experience, job type, and market conditions that may also impact individuals' earnings.

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Inequalities are used to describe unequal expressions.

The inequality of the shaded region is: \(\mathbf{y + x> -3 }\)

The boundary line is given as:

\(\mathbf{2x + 2y = -6}\)

Divide through by 2

\(\mathbf{x + y = -3}\)

Make y the subject

\(\mathbf{y = -3 - x}\)

The shaded region is above the boundary line (see attachment)

This means that, we make use of the greater than sign (>)

So, we replace = with >

\(\mathbf{y > -3 - x}\)

As a standard form, we have:

\(\mathbf{y + x> -3 }\)

Hence, the inequality of the shaded region is: \(\mathbf{y + x> -3 }\)

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Answer:

ᵇʳᵃⁱⁿˡʸ.ᵗᵒᵈᵃʸ

Step-by-step explanation:

ᵇʳᵃⁱⁿˡʸ.ᵗᵒᵈᵃʸ

укпыукпуфырфукфукпфуцкпФЦКПцкаЦУАцйуа

Answer:

7560

Step-by-step explanation:

Answer:

a 34 and 14

Step-by-step explanation:

let present age be x and y

equation 1

x-4=3(y-4)

x=3y-8

equation 2

x+6=2(y+6)

x=2y+6

then

2y+6=3y-6

y=14

x=34

Answer:

4,12,36,108,324.....

Step-by-step explanation:

The sequence represented by the equation \(a=4(3)^{n-1}\)is a geometric sequence with first term 5 and common ratio 3. The first 4 terms of the sequence are:

\(a_1 = 4(3)^{1-1} =4(3)^0 = 4\)

\(a_2 =4(3)^{2-1} = 4(3)^1 = 12\)

\(a_3 =4(3)^{3-1} = 4(3)^2 = 36\)

\(a_4 = 4(3)^{4-1} =4(3)^3 = 108\)

\(a_5=4(3)^{5-1} =4(3)^4=324\)

The sequence can be written as:

\(a_n = 4(3)^{n-1}\)

where n is the term number.

Therefore, the sequence is 4,12,36,108,324.....

Answer:

The answer is 4,12,36,108,324

Step-by-step Explanation:

a1=4(3)¹‐¹=4(3)⁰=4

a2=4(3)²‐¹=4×3=12

a3=4(3)³‐¹=4(3)²=4×9=36

a4=4(3)⁴‐¹=4(3)³=4×27=108

a5=4(3)⁵‐¹=4(3)⁴=4×81=324

Answer:

The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.

To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.

So, we can write 464000 as:

4.64 x 10^5

Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.

Step-by-step explanation:

Answer:

i go with 55

Step-by-step explanation:

Answer:

25°{vertically opposite angle}

hope it helps.

Answer:

166

Step-by-step explanation:

83x2(twice the height)

Answer:

x = 3 and y = 11 is the answer.

in graph, this is an intersecting lines which means it has one solution.

Step-by-step explanation:

4x + y = 23

y = x + 8

arranged:

4x + y = 23

-x + y = 8

4x + y = 23

4 (-x + y = 8)

4x + y = 23

-4x + 4y = 32

———————

0 + 5y = 55

5y/5 = 55/5

y = 11

substitute:

y = 11

y = x + 8

11 = x + 8

11 - 8 = x

3 = x

He sold 28 at 0.75 cents and sold 21 at 0.99 cents.

0.85 is between 0.75 and 0.99 so he sells between 21 and 28 donuts.

0.85 is closer to 0.75 ,so the number should be closer to28.

The answer should be b)25

Answer:

Step-by-step explanation:

The center is halfway between vertices, at (4, -6).

It is also halfway between foci.

:::::

The vertices are vertically aligned, so the parabola is vertical.

General equation for a vertical ellipse:

 (y-k)²/a² + (x-h)²/b² = 1

with

 center (h,k)

 vertices (h,k±a)

 co-vertices (h±b,k)

 foci (h,k±c), c² = a²-b²

Apply your data and solve for h, k, a, and b.

center (h,k) = (4, -6)

h = 4

k = -6

vertices (4,-6±a) = (4,-6±9)

a = 9

foci (4,-6±c) = (4,-6±5√2)

b² = a² - c² = 9² - (5√2)² = 31

b = √31

The equation becomes

 (y+6)²/81 + (x-4)²/31 = 1

:::::

length of major axis = 2a = 18

length of minor axis = 2b = 2√31

The various parts of the question needs to be answered.

Center: (4,-6)

Standard equation: \(\dfrac{(x-4)^2}{\sqrt{31}^2}+\dfrac{(y+6)^2}{9^2}=1\)

Length of major axis: 18 units

Length of minor axis: \(2\sqrt{31}\ \text{units}\)

Graph is attached.

The Vertices are of the form

\((h,k\pm a)=(4,-6\pm 9)\)

This means that the ellipse is symmetrical to the y axis.

The center of an ellipse is given by \((h,k)\)

So, here the center is \((4,-6)\)

\(a=\pm 9\)

The foci are of the form

\((h,k\pm c)=(4,-6\pm 5\sqrt{2})\)

So, \(c=\pm 5\sqrt{2}\)

\(b=\sqrt{a^2-c^2}\\\Rightarrow b=\sqrt{9^2-(5\sqrt{2})^2}\\\Rightarrow b=\pm\sqrt{31}\)

The standard equation for major axis being parallel to y axis is given by

\(\dfrac{(x-h)^2}{b^2}+\dfrac{(y-k)^2}{a^2}=1\\\Rightarrow \dfrac{(x-4)^2}{\sqrt{31}^2}+\dfrac{(y+6)^2}{9^2}=1\)

Length of major axis is

\(2a=2\times 9\\ =18\ \text{units}\)

Length of minor axis is

\(2b=2\sqrt{31}\ \text{units}\)

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Answer:

24.5%

Step-by-step explanation:

Given

P(Off-Campus) = 0.30

P(Part-Time Job | Off-Campus) = 0.62

P(Part-Time Job | On-Campus) = 0.65

Inferred

P(On-Campus) = 0.70

P(No Part-Time Job | Off-Campus) = 0.38

P(No Part-Time Job | On-Campus) = 0.35

Calculation

P(No Part-Time Job | On-Campus) = P(No Part-Time Job ∩ On-Campus)/P(On-Campus)

0.35 = P(No Part-Time Job ∩ On-Campus)/0.70

0.245 = P(No Part-Time Job ∩ On-Campus)

Therefore, 24.5% of students that live on campus do not have a part-time job.

Answer:

The answer to that is 371200ft2

Step-by-step explanation:

725 x 512 = 371200ft2

Answer:

the answer is 40 7\10

Step-by-step explanation:

7 2\5 x 5 1\2= 407\10 = 40 7\10

the function is given, and it's value is where the object is ("how far to the right").

so as long as it rises (going more right), this will be apply.

in the screenshot I graphed the function. of course t is graphed as x and "along the x-axis" is graphed as y, but the pattern is the same anyways.

for the first 1.25 seconds the object goes to the left, and after that always to the right.

since we look at t to calculate x, t effectively takes the role of the important variable that is normally given to x. the calculation pattern are just the same. so let's find the lowest point of this function by calculating it out.

x(t) = 2t² – 5t – 18

x'(t) = 4t -5

x'(t) = 0

0 = 4t -5

5 = 4t

1.25 = t

plugging it into the second derivative

x''(t) = 4

x''(1.25) = 4

it's positive, so at t=1.25 there is a low point

(of course the second derivative is constant anyways.)

the object is traveling toward the right

the object is traveling toward the rightfor t > 1.25

The object is moving to the right, for t > 1.25, the object is moving in a rightward direction.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

An object travels along the x-axis so that its position after t seconds is given by:

x(t) = 2t² – 5t – 18

x'(t) = 4t - 5

x'(t) = 0

4t -5 = 0

t = 5/4 = 1.25 seconds

x''(t) = 4

x''(1.25) = 4

x''(1.25) > 0

At t = 1.25 the object travels at a low point.

Thus, the object is moving to the right, for t > 1.25, the object is moving in a rightward direction.

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