MATHEMATICS HIGH SCHOOL

Expanded form of 3(z +5)?

Answers

Answer 1
Answer:

Answer:

3z+15

Step-by-step explanation:

By using the distributive property of equality you can distribute the 3 into the parenthesis to find that 3 times z is 3z and 3 times 5 is 15 so 3z+15
Answer 2
Answer:

Answer:

3z+15

Step-by-step explanation:

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What is the nth term of this sequence 12 22 32 42 52
Compare using <, >, or =. 7/9_____4/9
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The graph of the following system of equations is (4 points)-2x + y = 3
4x + 2y = 2

a. overlapping lines
b. parallel lines
c. intersecting lines

Answers

\left\{\begin{array}{ccc}-2x+y=3\n4x+2y=2&|divide\ both\ sides\ by\ 2\end{array}\right\n\left\{\begin{array}{ccc}-2x+y=3&|add\ (-2x)\ to\ both\ sides\n2x+y=1&|subtract\ 2x\ from\ both\ sides\end{array}\right\n\left\{\begin{array}{ccc}y=2x+3\ny=-2x+1\end{array}\right\Rightarrow\ the\ slope \left\{\begin{array}{ccc}m=2\nm=-2\end{array}\right\ |different\n\nConclusion:\ \boxed{\boxed{C}\ intersecting\ lines}
-2x + 1y = 3 ⇒ 4x - 2y = -6
 4x + 2y = 2 ⇒ 4x + 2y = 2
                               -4y = -8
                                -4     -4
                                  y = 2
                      4x + 2(2) = 2
                          4x + 4 = 2
                                 -4  -4
                                4x = -2
                                 4      4
                                 x = -1/2
                             (x, y) = (-1/2, 2)
The answer to the problem is C. intersecting lines.

A ball is thrown upward from the top of a building. The function below shows the height of the ball in relation to sea level, f(t), in feet, at different times, t, in seconds:f(t) = −16t2 + 48t + 100

The average rate of change of f(t) from t = 3 seconds to t = 5 seconds is _____feet per second.

Answers

f(t) = -16t^(2) +48t + 100
Average rate of change from t = 3 seconds to t = 5 seconds = (f(5)-f(3))/(5-3) = ((-16( 5^(2))+48(5)+100)-(-16( 3^(2))+48(3)+100 )/(2)=((-16(25)+240+100)-(-16(9)+144+100))/(2) = ((-400+240+100)-(-144+144+100))/(2)=(-60-100)/(2) = (-160)/(2) = -80

Point-slope form of y=15x+325

Answers

Answer:

y−325=15⋅(x+0)

Step-by-step explanation:

If f(c) = 0, which of the following statements must be true?A. The point (c,0) lies on the graph of f(x)
B. x - c is a factor of f(x).
C. c is a 0 for f(x).
D. All three statements are true.

Answers

For this case suppose we have a function of the form:

y = f (x)

Where,

x: independent variable

y: dependent variable

We have then that the value of the function for x = c is:

f (c) = 0

Therefore, we have that:

The point (c, 0) belongs to f (x)

x-c is a common factor of f (x) because the function evaluated at x = c is equal to zero.

x = c is a root of f (x) so c is a zero of the function f (x)

Answer:

D. All three statements are true.
Answer: D) All three statements are true.
Thank you.

The greater of two numbers is twice the lesser if the greater is increased by 18 the result is 4 less than 4 times the lesser that the numbers

Answers

Answer:

In short, 5 is the lesser number and 19 is the greater number.

Step-by-step explanation:

So for this, we will be doing a system of equations. Using the info from our question, our two equations are:

(let x = greater number and y = lesser number)

Now, for this I will be using the substitution method. Since we know that x = 4y - 1, substitute that into the second equation:

From here we can solve for y. Firstly, combine like terms:

Next, subtract 4y on both sides of the equation:

Next, multiply both sides by -1:

Now that we know the value of y, substitute it into either equation to solve for x:

Answer:

In short, 5 is the lesser number and 19 is the greater number.

What is the radius of a circle with circumference 22m? Instructions: Solve Each Problem. Round to the nearest tenth, If necessary. Use 3.14

Answers

The radius of a circle: r = ?
C = 22 m
C = 2 r π
r = C /( 2 π )
r = 22 / ( 2 · 3.14 )
r = 22 / 6.28
Answer:
r = 3.5 m
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