Graph the parabola.
y = (x + 5)² +2

Answer:

Just some background:

Congruent means that a triangle has the same angle measures and side lengths of another triangle.

SAS congruence theorem: If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent. Congruent triangles: When two triangles have the same shape and size, they are congruent.

Let's look at A first.

The triangle on left, we know 40 and 30 degree angles. So 3 all angles together = 180, so the 3rd angle = 180-30-40 = 110.

Now look at the triangle on the right. The angle shown is 110! This angle is between the sides marked with || and ||| marks, indicating that those two sides are the same length between both triangles.

Therefore both triangles are the same by Side-Angle-Side or SAS.

Now look at B.

It's a right triangle. We are missing 1 side of each triangle.

Let's solve for the missing "leg" of the triangle on the right. The pythagorean theorem says that a^2 + b^2 = c^2 where a and b are the 'legs' or sides of the triangle and c is the hypotenuse (always the longest length opposite the right angle).

so 2^2 + b^2 = 4^2

4 + b^2 = 16

b^2 = 16-4

b^2 = 12

That missing side is the \(\sqrt{12}\).

This does NOT match the triangle on the left.

Theses two triangles are NOT congruent.

Answewhen x=-2 h(x)=32 when x=-8 h(x)=224

Step-by-step explanation:

The coordinate of the point after transformation is: (3, -4)

The coordinate initially is given as (0, -4).

Moving one unit to the left means a deduction of 1 unit from the x coordinate to get:

(0 - 1, -4)

= (-1, -4)

Moving by 4 units to the right means an addition of 4 units to x coordinate to get:

(-1 + 4, -4)

= (3, -4)

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Answer:

\(\hat{y}=0.728x^2-20.213x+179.246\)

Step-by-step explanation:

1. On a TI-84 calculator, select STAT, and then press "Edit" under the EDIT section

2. Put in your x and y values from the table

3. Select STAT again, move to the CALC section, and select QuadReg

4. Press "Calculate"

5. Your quadratic regression is done!

If you do all these steps correctly, you should get the answer I posted above. Note that only coefficients a, b, and c show up, not the full equation.

Answer:

23

Step-by-step explanation:

Remember PEMDAS/order of operations (Parentheses, exponent, multiplication, division, addition, subtraction)

10*1/2+(-6)(-3)

10*1/2+18

5+18

23

Answer:

The answer would be 1, 3, 5, 7, 9.

Answer:

\(\frac{3}{4}\)

Step-by-step explanation:

You plug in the points in this equation \(\frac{y2-y1}{x2-x1}\)

So \(\frac{-2-(-5)}{6-2}\) = \(\frac{3}{4}\)

Answer: 6.8

Step-by-step explanation:

absolute value turns the number into the positive value.

Answer:

3.5 gallons a week

Step-by-step explanation:

Well 64 gl Oz is basically half a gallon. So half a gallon of water a day would result in 0.5*7 (7 days in a week) and you would get 3.5 gallons.

The type of function that best represents the data shown in the table above is a linear function.

Linear functions are a type of mathematical function that can be expressed in the form of a linear equation. The equation for a linear function is of the form y = mx + b, where x is the independent variable, y is the dependent variable, m is the slope of the line, and b is the y-intercept. Linear functions are the most basic type of functions and are used to model relationships between two variables.

The first differences are not constant and the ratio of the first difference to the second difference is not constant, so a linear function is the best fit for the data.The type of function that best represents the data shown in the table below is an exponential function. The first differences are constant and the ratio of the first difference to the second difference is constant, so an exponential function is the best fit for the data.

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Answer:

last one

Step-by-step explanation:

since the only letters that both sets have

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

The surface area of the prism is 248.88 cm²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a prism is expressed as;

SA = 2B + ph

where h is the height of the prism, B is the base area of the prism and P is the perimeter of the base.

Base area = 61.94 cm²

height = 5cm

perimeter = 5 × 5 = 25cm

SA = 2 × 61.94 + 25 × 5

SA = 123.88+ 125

SA = 248.88 cm²

Therefore the surface area of the prism is 258.88 cm²

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Answer:

the answer is 57

Step-by-step explanation:

because you round to the nearest foot which it means that the answer good luck hope this helps

the counting number just before C5F16 is 3,072.

Answer:

50% or 1/2

Step-by-step explanation:

A coin has 2 sides so 100/2 equals 50 so either 50% or 1/2. There is your answer

Answer:

p = 5(8)(6.88)

p = $275.20

The value of f(x) when x is 3 is 15

A Function in mathematics is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

For example, if f(x) = x² +2x +5 , the value of f(x) when x is 2 is calculated as;

f(x) = 2² + 2(2) + 5

f(x) = 4 +4+5

= 13

This done by substituting the given value of x into the expression.

Similarly , if f(x) = 5x, the value of f(x) when x is 3 is calculated as;

f(x) = 5(3)

f(x) = 15

therefore the value of f(x) when x is 3 is 15

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Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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The number line that shows the solutions of x < 5

A number line is a visual representation of the real numbers, ordered from left to right, with zero in the middle. It is typically a straight line that extends infinitely in both directions, with evenly spaced markings that represent specific points along the line.

The solution of x < 5 should consist of number less than 5

The inequality used is less than and hence should have values saying less than

Other options has numbers more than 5 such as 6 except option B

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Answer:

\(\frac{15}{(x-7)*(x+3)} = \frac{3/2}{x-7} + \frac{-3/2}{x+3}\)

Step-by-step explanation:

Set up the partial fraction decomp:

\(\frac{15}{(x-7)*(x+3)} = \frac{A}{x-7} + \frac{B}{x+3}\\\)

Multiply across:

\(15 = (\frac{A}{x-7} + \frac{B}{x+3})*(x+3)*(x-7)\\15 = A(x+3) + B(x-7)\\\)

You can do this two ways from this point, you can plug in values for x to solve for A and B individually or set up a system of equations to find A and B

\(15 = Ax + 3A + Bx -7B\\Ax + Bx = 0\\3A - 7B = 15\\\)

From the first equation we can see that A = -B, plugging into the second equation we get that

-10B = 15, so therefore B = -3/2 and because of the first equation A = 3/2 giving us our answer

Answer:

I am confused!

Answer:

you just solve by doing equation 1&2 i guess the answer will come

Step-by-step explanation:

The answer is

\( \sqrt{2} - 1\)

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I can help you solve what you want in mathematics in exchange for some money. If you want to, you can inform me about it and I will help you.

Answer:

3,0,-6,0

Step-by-step explanation:

x1=3 because 3+0+0=3

since x2 and s2=0.

let

width = w

length = 4w + 11

2(length) + 2(width) = perimeter

2(4w + 11) + 2(w) = 162

8w + 22 + 2w = 162

10w + 22 = 162

10w = 140

w = 14 cm (WIDTH)

length = 4w + 11

length = 4(14) + 11

length = 56 + 11

LENGTH = 67 cm

The length is 4(14)+ 11 = 67 cm and width is 14 cm.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Perimeter of rectangle = 162 cm

let the width be x .

then, the length is 4x+ 11

Thus, Perimeter of rectangle= 2(l + w)

162 = 2( 4x + 11 + x)

162 = 2( 5x +11)

81 = 5x+ 11

5x= 70

x= 14

Hence, the length is 4(14)+ 11 = 67 cm and width is 14 cm.

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The given system of equations does not have a specific value for xy. Therefore, the answer is D) No solution.

To find the value of xy using the given system of equations, we can substitute the value of x from the second equation into the first equation. Let's solve the system step by step:

Given equations:

Y = 4x + 8

x = 2y + 19

First, we substitute the value of x from equation 2) into equation 1):

Y = 4(2y + 19) + 8

Simplifying the expression:

Y = 8y + 76 + 8

Y = 8y + 84

Now, we have a single equation in terms of Y. To solve for Y, we need to eliminate the variable y. Since we know x = 2y + 19, we can substitute this value into the equation above:

Y = 8(2y + 19) + 84

Y = 16y + 152 + 84

Y = 16y + 236

Now, we have an equation in terms of Y only. Since we are asked to find the value of xy, we substitute Y back into equation 2) to solve for x:

x = 2(16y + 236) + 19

x = 32y + 472 + 19

x = 32y + 491

Now, we have equations for x and Y in terms of y. To find the value of xy, we substitute these expressions back into the equation xy:

xy = (32y + 491) * (8y + 84)

xy = 256y^2 + 3664y + 41144

As you can see, the expression for xy is a quadratic equation in terms of y. It does not simplify to a constant value. Therefore, the answer is D) No solution.

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The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Answer:

F(-5)=25

Step-by-step explanation:

Hi there!

We are given the function:

F(x)=-x²-10x

And we want to find F(-5)

If we want to find f(number), then we will be substituting that number as x into the other side of the function.

In other words, if the function is F(-3), then we would substitute -3 as x in the function, giving us -(-3)²-10(-3)

So for this, we'll substitute -5 as x in the function.

Therefore:

F(-5)=-(-5)²-10(-5)

Going with the order of operations, raise (-5) to the second power

F(-5)=-(25)-10(-5)

Now multiply 25 by -1 (the minus in front of the 25 means -1 * 25)

F(-5)=-25-10(-5)

Multiply -10 by -5

F(-5)=-25 + 50

Add the numbers together

F(-5)=25

Hope this helps!

The number the spinner is most likely to land on is 2

From the question, we have the following parameters that can be used in our computation:

The spinner

From the spinner, we have the number that covers the largest area to be 2

i.e.

Largest area = 2

This means that the number it is most likely to land on is 2 and it has the highest probability

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