Fill in the missing values to make the equations true.

Please see attached photo

my name is jeff   Step-by-step explanation:

Hello!

The distance, d, is less than 200 miles.

B. d > 200

Step-by-step explaination

8 to the exponet 5

4.2 to the exponet 3

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:

0

Step-by-step explanation:

By using the graph of g, the solution to g(3) is equal to 8.

In Mathematics and Geometry, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In Mathematics and Geometry, a domain is sometimes referred to as input value and it can be defined as the set of all real numbers for which a particular function is defined.

When the domain (input value) of the given function g(x) shown in the graph is 3, the output value (range) is given by;

g(3) = 8.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The function is determined using speed and is found to be d = 120t.

Speed is generally the change in distance per unit time. (rate of change of distance)

To calculate speed, we will use speed = distance/time.

speed = 360/3

           = 120km/hr

Since, the train is moving with a constant speed the ratio of distance and time will be equal to 120 throughout the journey.

120 = d/t

Hence, d = 120t.

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Answer:

A) 3

Step-by-step explanation:

Zeroes, x-intercepts, or roots, are the x-values where the function intersects the x-axis. We can see that the x-axis is intersected 3 times, so there are 3 zeroes.

Answer:

Step-by-step explanation:

Picture has the answer, not a bad picture I promise.

Step-by-step explanation:

43x-4x=1+2

39x/39=3/39

x=0.076

The solution for the linear system will be , x(t) = 4 c₁e^t +  4 c₂e^t and

y(t) = -c₂e^t + c₂(1 - t)e^t .

The solution is given by ,

matrix | x y | = c₁ .v . e^λt  + c₂( w + v.t ) e^λt

Given that the matrix has repeated eigenvalue with eigenvector  generalized  vectors ,

λ = 1 with eigenvector v = [ 4 , -1 ] and  generalized  vectors w =[ 0,1 ].

then the solution will be,

c₁ [ 4 , 1 ] e^t +  c₂[ 0 , 1] + [ 4 , -1 ] )e^t

therefore,

x(t) = 4 c₁e^t +  4 c₂e^t

y(t) = -c₂e^t + c₂(1 - t)e^t

Matrixes represent linear maps and allow for explicit linear algebra operations. As a result, matrices play an important role in linear algebra, and most characteristics and operations in abstract linear algebra may be represented in terms of matrices.

Matrix multiplication, for example, depicts the combination of linear maps.

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The solutions for the quadratic equation:

x^2 - 8x = -3

Are:

Here we want to solve the quadratic equation:

x^2 - 8x = -3

First we can move all the terms to the left side so we get:

x^2 - 8x + 3 = 0

Using the quadratic formula (or Bhaskara's formula) we can get the solutions for x as:

\(x = \frac{8 \pm \sqrt{(-8)^2 - 4*¨1*3} }{2*1} \\\\x = \frac{8 \pm 7.2 }{2}\)

Then the two solutions for the quadratic equation are:

x = (8 + 7.2)/2 = 7.6

x = (8 - 7.2)/2 =0.4

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Answer: The improper fraction is 31/7.

Explanation: For calculating an improper fraction, you multiply the whole number with the denominator and then add that answer to the numerator. In this situation, it is 4x7, which equals 28. Add 3 to 28, which equals 31. The answer is 31/7.

P.D. Hope this helps!

\( \bold{\underline{\underline{\underbrace{Answer}}}} \)

x = p and y = -q

Step-by-step explanation:

The value of x and y

px + qy = p² - q²(equation 1)

qx - py = 2py

{Taking equation 2}

\( \sf qx - py = 2py\)

{Taking py on RHS}

\( \sf qx = 2py \ + py \)

{Dividing both sides by q

\( \sf x = \frac{2pq}{q} + \frac{py}{q} \\ \\ \sf x = 2p + \frac{py}{q} (equation \: 3)\)

{Now substituting the value of equation 3 in equation 1}

\( \sf p(2p + \frac{py}{q} ) + qy = {p}^{2} - {q}^{2} \\ \\ \sf 2 {p}^{2} + \frac{ {p}^{2}y }{q} + qy = {p}^{2} - {q}^{2} \)

{Taking 2p² on RHS and taking LCM on LHS}

\( \sf \frac{ {p}^{2}y + {q}^{2} y }{q} = {p}^{2} - {q}^{2} - 2 {p}^{2} \\ \\ \sf \frac{y( {p}^{2} + {q}^{2} ) }{q} = - ( {p}^{2} + {q}^{2} )\)

{Dividing (p² + q²) both sides}

\( \sf \frac{y}{q} = - 1 \\ \\ \red{ \boxed {\bold{y = - q}} }\)

{Now using value of y in equation 3}

\( \sf x = 2p - \frac{pq}{q} \\ \\ \sf x = 2p - p \\ \\ \red{ \boxed{ \bold{ x = p}}}\)

Simple interest is the cost of borrowing money without accounting for the effects of compounding.12672 is the size of Kathleen’s total interest when she retires.

Simple interest is the cost of borrowing money without accounting for the effects of compounding.

Given that Kathleen begins working and at age 32 she invests $6000.00 into a retirement account that pays an APR of 6.4% compounded monthly. She expects to retire at age 65.

Let us calculate the age or time

65-32 =33 years

A=P(1+rt)

A= Final Amount

P=Principle amount=6000

r = rate of interest=6.4%

t is time =33 years

Substitute these values in Formula.

Convert 6.4% to decimal number by dividing with 100.

A=6000(1+0.064(33))

A=6000(1+2.112)

A=6000(3.112)

A=18672

The final Amount she got is 18,672.

To find the interest amount we have to substitute initial amount from final amount.

18672-6000

=12672

Hence 12672 is the size of Kathleen’s total interest when she retires.

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Answer:

Not completely sure for the rest, but I believe the range is incorrect: the range represents y-values, not x-values.

So it should be 0 ≤ y ≤ π

Answer:

see explanation

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a hexagon has 6 sides , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

12

the polygon has 5 sides , so

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

y + 90 + 120 + 90 + 110 = 540

y + 410 = 540 ( subtract 410 from both sides )

y = 130

13

the polygon has 7 sides , so

sum = 180° × (7 - 2) = 180° × 5 = 900°

sum the interior angles and equate to 900

p + 90 + 141 + 130 + 136 + 123 + 140 = 900

p + 760 = 900 ( subtract 760 from both sides )

p = 140

The solution is,  2.5 miles per hour was her walking rate in miles per hour.

We know that,

Speed is measured as distance moved over time.

The formula for speed is speed = distance ÷ time.

To work out what the units are for speed, you need to know the units for distance and time.

In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Speed = Distance/ Time.

Here, given that,

Bao walked 15 miles in 6 hours.

so, we get,

in 6 hours = 15 miles

so, in 1 hour = 15 / 6 miles

                    =2.5 miles

Hence, The solution is,  2.5 miles per hour was her walking rate in miles per hour.

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Answer:

1 4/5 pounds

Step-by-step explanation:

15-6= 9

9-4=5

3/5+4/5=7/5 or 1 2/5

5-1=4

4-2/5=3 3/5

half of 3 is 1.5 or 1 5/10

3/5=6/10 half of 6/10 is 3/10

3/10+5/10= 8/10

simplify 1 8/10= 1 4/5

Answer:

I.Q.R = 11 - 3

I.Q.R = 9

the interquartile range = 9

The x-intercepts of the graph of f(x) are x = 3/2 and x = 1,the Vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point, The vertex is at (5/4, 3/8). This is the minimum point of the graph.

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

2x^2 - 5x + 3 = 0

To factor this quadratic equation, we look for two numbers that multiply to give 3 (the coefficient of the constant term) and add up to -5 (the coefficient of the linear term). These numbers are -3 and -1.

2x^2 - 3x - 2x + 3 = 0

x(2x - 3) - 1(2x - 3) = 0

(2x - 3)(x - 1) = 0

Setting each factor equal to zero, we get:

2x - 3 = 0   -->   x = 3/2

x - 1 = 0   -->   x = 1

Therefore, the x-intercepts of the graph of f(x) are x = 3/2 and x = 1.

Part B: To determine whether the vertex of the graph of f(x) is a maximum or a minimum, we look at the coefficient of the x^2 term, which is positive (2 in this case). A positive coefficient indicates that the parabola opens upwards, so the vertex will be a minimum.

To find the coordinates of the vertex, we can use the formula x = -b/2a. In the equation f(x) = 2x^2 - 5x + 3, the coefficient of the x term is -5, and the coefficient of the x^2 term is 2.

x = -(-5) / (2*2) = 5/4

Substituting this value of x back into the equation, we can find the y-coordinate:

f(5/4) = 2(5/4)^2 - 5(5/4) + 3 = 25/8 - 25/4 + 3 = 3/8

Therefore, the vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point.

Part C: To graph f(x), we can use the information obtained in Part A and Part B.

- The x-intercepts are x = 3/2 and x = 1. These are the points where the graph intersects the x-axis.

- The vertex is at (5/4, 3/8). This is the minimum point of the graph.

We can plot these points on a coordinate plane and draw a smooth curve passing through the x-intercepts and the vertex. Since the coefficient of the x^2 term is positive, the parabola opens upwards, and the graph will be concave up.

Additionally, we can consider the symmetry of the graph. Since the coefficient of the linear term is -5, the line of symmetry is given by x = -(-5) / (2*2) = 5/4, which is the x-coordinate of the vertex. The graph will be symmetric with respect to this line.

By connecting the plotted points and sketching the curve smoothly, we can accurately graph the function f(x).

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Answer:

B. Phoebe

Step-by-step explanation:

Let's find the slope of the line that passes through (12, 5) and (12, 9).

Slope = \( \frac{y_2 - y_1}{x_2 - x_1} = \frac{9 - 5}{12 - 12} = \frac{4}{0} \) = undefined.

14 can't be divided by zero. Therefore, it is concluded that the slope of the line is undefined.

Therefore, Phoebe is correct.

Answer:

Slope = 1/5

Step-by-step explanation:

Given equation,

→ -x + 5y = 10

The slope-intercept form,

→ y = mx + b

→ slope = m

Now the slope-intercept form is,

→ -x + 5y = 10

→ 5y = x + 10

→ y = (x + 10)/5

→ [ y = (1/5)x + 2 ]

Then the required slope will be,

→ y = (1/5)x + 2

→ Slope = m = 1/5

Hence, the required slope is 1/5.

Answer:

\(\textsf{Slope}=\dfrac{1}{5}\)

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:

\(-x+5y=10\)

To find the slope of the given equation, use algebraic operations to isolate y.

Add x to both sides of the equation:

\(\implies -x+5y+x=10+x\)

\(\implies 5y=x+10\)

Divide both sides of the equation by 5:

\(\implies \dfrac{5y}{5}=\dfrac{x+10}{5}\)

\(\implies y=\dfrac{1}{5}x+\dfrac{10}{5}\)

\(\implies y=\dfrac{1}{5}x+2\)

The coefficient of x is the slope of the equation.

Therefore, the slope of the given equation is ¹/₅.

Answer:

A

Step-by-step explanation:

Two Squares

There are 2 squares at the top and bottom. All sides = 3

2* s^2

2 * 3^2

2 * 9

18

Middle Figure.

Triangles

There are many ways to solve this. I think the most easily understood is to break it into 2 triangles and a rectangle.

Base of both triangles = 5 + 5 = 10

The height of each triangle = (7 - 3)/2 = 4/2 = 2. You divide by 2 because there are 2 bases -- one in each triangle.

Area = 1/2 * 2 * 10 = 10

But there are 2 of them so the total area is 20

Rectangle

The length of the rectangle = 5 + 5 = 10

The width = 3

Area = 30

Total

Total Area = 2 squares + 2 triangles + 1 rectangle

Total Area = 18 + 20 + 30 = 68

Answer:

35

Step-by-step explanation:

square root of 1225 is 35

Answer:

Write 1225 as 5 x 5 x 7 x 7

So, 52 x 72 = 1225

So (5 x 7)2 = 1225

So √1225 = 5 x 7 = 35

Answer:

simplified value of the exponential expression 27 Superscript one-third

27= 3×3×3

    =\(3^{3}\)

answer is 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The answer above is correct.