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3 years ago

If f(5)=a what is the value of a

Mathematics

2 answers:

Dvinal [7]3 years ago

8 0

Answer:

a = 5

Step-by-step explanation:

Crazy boy [7]3 years ago

5 0

Answer:

Step-by-step explanation:

Solve for a by simplifying both sides of the equation, then isolating the variable.

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Determine which of the lines are parallel and which of the lines are perpendicular. Select all of the statements that are true.

grandymaker [24]

Answer:

Lines a and b are parallel

Lines a and c are perpendicular

Lines d and c are perpendicular

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Part 1) Find the slope of Line a

we have the points

(-3,4) and (3,6)

substitute in the formula

$m=\frac{6-4}{3+3}$

$m=\frac{2}{6}$

simplify

$m_a=\frac{1}{3}$

Part 2) Find the slope of Line b

we have the points

(-10,-3) and (-8,3)

substitute in the formula

$m=\frac{3+3}{-8+10}$

$m=\frac{6}{2}$

$m_b=3$

Part 3) Find the slope of Line c

we have the points

(0,5) and (3,-4)

substitute in the formula

$m=\frac{-4-5}{3-0}$

$m=\frac{-9}{3}$

$m_c=-3$

Part 4) Find the slope of Line d

we have the points

(4,-7) and (13,-4)

substitute in the formula

$m=\frac{-4+7}{13-4}$

$m=\frac{3}{9}$

simplify

$m_d=\frac{1}{3}$

Part 5) Compare the slopes

Remember that

If two lines are parallel then their slopes are the same

If two lines are perpendicular then their slopes are opposite reciprocal

we have

$m_a=\frac{1}{3}$

$m_b=3$

$m_c=-3$

$m_d=\frac{1}{3}$

therefore

Lines a and b are parallel (slopes are equal)

Lines a and c are perpendicular (slopes are opposite reciprocal)

Lines d and c are perpendicular (slopes are opposite reciprocal)

6 0

3 years ago

Given the parent function f(x)=x^3 calculate f(-3) and f(3)

777dan777 [17]

Answer: f(-3) = -27 & f(3) = 27

Step-by-step explanation:

(-3)^3

-27

(3)^3

3 0

3 years ago

Which of the following algebraic expressions could represent thirty less than one-half the value of x?

mylen [45]

Answer: x/2-30

Step-by-step explanation: half= divide by 2 30 less= minus 30

6 0

3 years ago

3x power of 2+ 5x+2=0<br><br>what does x equal

In-s [12.5K]

Let's solve your equation step-by-step.
2+5x+2=0
Step 1: Simplify both sides of the equation.
2+5x+2=0
(5x)+(2+2)=0(Combine Like Terms)
5x+4=0
5x+4=0
Step 2: Subtract 4 from both sides.
5x+4−4=0−4
5x=−4
Step 3: Divide both sides by 5.
5x
5
=
−4
5
x=
−4
5

Answer:
x=
−4
5

4 0

3 years ago

The equation for the line of best fit for a data set is y = 2x + 1.5. If the point (1, 4) is in the data set, what is the residu

andriy [413]

It is related to econometrics, however using simple algebraic logic we can solve this problem. General formula with residual is $y=2x+1.5+r$ , where r is a residual. Plugging the pair into the formula, we obtain that $4=2*1+1.5+r$ and r=0.5

3 0

3 years ago

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