Find the domain and range of the function y = √x-3 + 6

Answer:

product means multiplication (×) so what ever is the depth of the pool is multiplied by 4

Step-by-step explanation:

what is the depth of the pool?

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Answer:

  А. Зп > 9

Step-by-step explanation:

The inequality of A may or may not be true. (It is true only if n > 3.) All of the others are definitely false.

Answer:

Given the following algebraic expression 5x² + 10 Which statement is true?

a. The coefficient is 5. ( true)

b. The constant is 2

C. The power is 10

d. The constant is 5

Answer:

b

Step-by-step explanation:

Answer:

[tex]S(y)=36000*(1+0.03)^{y}[/tex]

Step-by-step explanation:

Answer:

y=36,000×1.03^x

Step-by-step explanation:

Answer:

range is 6

Step-by-step explanation:

The smallest number in this data set is 1 mile, the largest is 7 miles

the range is the difference between the biggest and smallest number so 7-1 = 6. The range is 6

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Answer:

  It satisfies both equations.

Step-by-step explanation:

The points on the graph of an equation are the values of the variables that satisfy the equation (make it true).

In a system of equations, you're generally looking for values of the variables that satisfy all of the equations in the system. That is, the solution will be a point on the graph of every equation in the system.

For a point to be on more than one graph, it must lie at a point of intersection of the graphs. If all of the graphs of a system go through the point of intersection, that point satisfies all of the equations, so is a solution of the system of equations.

Answer:

[tex]f(x)=(x-1)^2-2[/tex]

Step-by-step explanation:

Equation of a parabola:

[tex]y=a(x-h)^2+k[/tex]

The vertex is given as [tex](h,k)[/tex] -> [tex](1, -2)[/tex]

Plug in both the given point and vertex to find the value of [tex]a[/tex]:

[tex]y=a(x-h)^2+k[/tex]

[tex]y=a(x-1)^2-2[/tex]

[tex]14=a(5-1)^2-2[/tex]

[tex]14=a(4)^2-2[/tex]

[tex]14=16a-2[/tex]

[tex]16=16a[/tex]

[tex]1=a[/tex]

[tex]a=1[/tex]

Therefore, the final function is [tex]f(x)=(x-1)^2-2[/tex]

See attached graph below for a visual of the function.

Answer:

I agree with Elena. See explanation below.

Step-by-step explanation:

A right angle is equal to 90 degrees.

A straight line is equal to 180 degrees.

Elena: w + 148 = 180

Elena's equation is correct because 148 degrees is represented by variable k. When adding variable k and w together, they form a straight line which is equiavlent to 180 degrees. By using this equation, Elena can solve for w after isolating the variable:

w + 148 = 180

w + 148 - 148 = 180 - 148

w = 32 degrees

Diego: x + 90 = 148

Diego is incorrect. He added 90 degrees because of the right angle, but he failed to realize that x is within 90 degrees, meaning he would either have to subtract x from 90 degrees or add both x and w to get to 90 degrees. He cannot solve for x or w by using this equation.

To solve for x, add both w and x to get 90 degrees. Since Elena showed us w equals 32 degrees, we can set up an equation:

w + x = 90

32 + x = 90

32 - 32 + x = 90 - 32

x = 58 degrees

Answer:

The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.Step-by-step explanation:

The correlation coefficient of a data set describes how closely related two variables are. Correlation coefficients close to positive 1 show a strong positive correlation, while correlation coefficients close to negative 1 show a strong negative correlation. When a correlation coefficient is close to 0, it shows no correlation between the data.

For the given data set, calculate the correlation coefficient using technology.

This r-value is closer to 0 then it is to -1. Thus, the correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.

Answer:

The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.Step-by-step explanation:

The correlation coefficient of a data set describes how closely related two variables are. Correlation coefficients close to positive 1 show a strong positive correlation, while correlation coefficients close to negative 1 show a strong negative correlation. When a correlation coefficient is close to 0, it shows no correlation between the data.

For the given data set, calculate the correlation coefficient using technology.

This r-value is closer to 0 then it is to -1. Thus, the correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.

Answer:

z=3

Step-by-step explanation:

1. collect like terms

5z-5=25-5z

2. Move the variable to the left hand side and change its sign

5z-5+5z=25

3. Collect like terms

10z=25+5

4. Divide both sides of the equation by 10

z=3

The solution to the equation is z = 3.

To solve for z in the equation 3z - 5 + 2z = 25 - 5z, we can simplify and combine like terms on both sides:

3z + 2z + 5z = 25 + 5

Combining the terms on the left side gives:

10z = 30

Next, we isolate the variable z by dividing both sides of the equation by 10:

(10z)/10 = 30/10

This simplifies to:

z = 3

Therefore, the solution to the equation is z = 3.

To know more about equation:

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Answer:

The center is ( -2, 7) and the radius is 6

Step-by-step explanation:

A circle is written in the form

(x-h)^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x+2)^2+(y-7)^2=36

(x -  -2)^2+(y-7)^2=6^2

The center is ( -2, 7) and the radius is 6

Answer:

Step-by-step explanation:

Soooo, angle 1 is 157 degrees

That means:

Angle 2 is 23 degrees                                   Supplementary Angles

Angle 3 is 157 degrees                                  Vertical Angle to Angle 1

Angle 4 is 23 degrees                                   Vertical angle to Angle 2

Answers:

=======================================================

Explanation:

Angles 1 and 2 are supplementary as they form a straight line. So the angles add to 180

(angle1)+(angle2) = 180

angle2 = 180-(angle1)

angle2 = 180-157

angle2 = 23 degrees

Angle 4 is congruent to this because angles 2 and 4 are vertical angles. Vertical angles are always congruent. Note how angles 1 and 4 are supplementary.  

Since angles 1 and 3 are the other pair of vertical angles, this must mean angle 3 is 157 degrees.

Answer:

6

Step-by-step explanation:

a² + b² = c²

a² + 8² = 10²

a² + 64 = 100

Subtract 64 from both sides

a² = 36

Take the square root of both sides

a = 6

Answer:

x²+y²=hyptneus ²

Step-by-step explanation:

length is always positive

so answer is 6

Answer:

The answer to 12 is 40 cubic units

Step-by-step explanation:

Answer:

a = 2

Step-by-step explanation:

Use Pythagorean Theorem:

[tex]a^2+b^2=c^2\\a^2+2.1^2=2.9^2\\a^2+4.41=8.41\\a^2=4\\\sqrt{a^2}=\sqrt{4}\\a=2[/tex]

Therefore, a is 2 meters.

Step-by-step explanation:

Let's solve for a.

a+b+c=4

Step 1: Add -b to both sides.

a+b+c+−b=4+−b

a+c=−b+4

Step 2: Add -c to both sides.

a+c+−c=−b+4+−c

a=−b−c+4

Answer:

a=−b−c+4

(hope this helped plz mark brilliant)

I didn’t undertand the question... mayb ur attachment isnt added! Plz check!

t-3.2 ≤ 7.5

"at most" means less than or equal to

Answer:

a. Photographer A by $10

b. Photographer B by $25

Answer:

ASA

Step-by-step explanation:

..................

To prove ABC = ADC, We use ASA triangle postulate.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

The similarity of triangles on the other hand is when the corresponding angles are equal but the corresponding sides are not equal but they have the same common ratio.

From the given diagram a quadrilateral ABCD is given,

Line segment AC divides quadrilateral ABCD into two triangles namely

ABC and ADC, and both have a common side AC.

m∠BAC ≅ m∠DAC and m∠BCA ≅ m∠DAC.

Therefore, Triangle ABC and ADC are congruent by ASA, with two angles and a side included between them.

learn more about congruency here :

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Answer:

125

Step-by-step explanation:

the bearing of b to a is equal to 85+45

Answer:

[tex]\displaystyle V = 2064.19 \ cm^3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

r = 7.9 cm

Step 2: Find Volume

Answer:

Option B. A = (5/6)^-⅛

Step-by-step explanation:

From the question given above, we obtained:

(5/6)ˣ = A¯⁸ˣ

We can obtain the value of A as follow:

(5/6)ˣ = A¯⁸ˣ

Cancel x from both side

5/6 = A¯⁸

Recall:

M¯ⁿ = 1/Mⁿ

A¯⁸ = 1/A⁸

Thus,

5/6 = 1/A⁸

Cross multiply

5 × A⁸ = 6

Divide both side by 5

A⁸ = 6/5

Take the 8th root of both sides

A = ⁸√(6/5)

Recall

ⁿ√M = M^1/n

Thus,

⁸√(6/5) = (6/5)^⅛

Therefore,

A = (6/5)^⅛

Recall:

(A/B)ⁿ = (B/A)¯ⁿ

(6/5)^⅛ = (5/6)^-⅛

Therefore,

A = (5/6)^-⅛

Answer:

The answer e i think

Step-by-step explanation:

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Answer:

  B, D, E, A, C

Step-by-step explanation:

The main idea here is to use your English comprehension skill to determine the meaning of the phrase, then use your math understanding to write it in symbols. Turning off your brain at the sight of a "word problem" will not be productive.

The wording "some number" or "a variable" or "unknown value" all refer to a variable, typically represented by a single letter. Letters commonly use are {a, b, c, x, y, z}, but variables are not restricted to that set (nor to single letters, nor lower case letters).

In most cases, the math expression is a direct translation of the English expression using the usual math symbols. Values are generally increased by addition, decreased by subtraction, squared using an exponent of 2. A product is the result of multiplication, and a quotient is the result of division.

Top-to-bottom, the boxes on the left will be filled with B, D, E, A, C.

Answer:

The center (-3, 0)

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Answer:

Step-by-step explanation:

The desired parameters can be found by putting the equation into the standard form for the equation of a circle:

  (x -h)^2 +(y -k)^2 = r^2 . . . . . circle centered at (h, k) with radius r

The values of h and k will be half the coefficients of the linear x- and y-terms, respectively.

  x^2 +6x +9 +y^2 -7 = 9 . . . . . add 9 to complete the square

  (x +3)^2 +y^2 = 16 . . . . . . . . . add 7 to get the desired form

This equation shows us (h, k) = (-3, 0) and r = 4.

The center is (-3, 0), and the radius is 4.