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3 years ago

Evaluate the expression for p = 3. 7p

Mathematics

2 answers:

lisabon 2012 [21]3 years ago

8 0

7(p)

p=3

7(3)

the answer is 21.

grigory [225]3 years ago

6 0

7p
p=3
7 x 3 = 21 is the correct answer

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which statements are true about the graph of the function f(x) = 6x – 4 x2? check all that apply. the vertex form of the functio

Brut [27]

Answer:

The vertex of the function is the point $(-3,-13)$

The graph increase over the interval--------> (-3,∞)

Step-by-step explanation:

we have

$f(x)=6x-4+x^{2}$

1) Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)+4=x^{2}+6x$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)+4+9=x^{2}+6x+9$

$f(x)+13=x^{2}+6x+9$

Rewrite as perfect squares

$f(x)+13=(x+3)^{2}$

$f(x)=(x+3)^{2}-13$ -----> function in vertex form

2) Find the vertex

The vertex of the function is the point $(-3,-13)$

3) Find the axis of symmetry

we know that

In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex

The x-coordinate of the vertex in this problem is equal to $x=-3$

therefore

the equation of the axis of symmetry is $x=-3$

4) Find the increase-decrease intervals

The graph increase over the interval--------> (-3,∞)

The graph decrease over the interval--------> (-∞,-3)

see the attached figure to better understand the problem

5) Find the x-intercepts of the function

we know that

the x-intercepts are the values of x when the value of the function is equal to zero

In this problem the x-intercepts are

$(-6.61,0)$ and $(0.61,0)$

The function cross the x-axis twice

see the attached figure

5 0

3 years ago

Read 2 more answers

ABCD diagonals intersect at E. If m∠BAC=4x+5 and m∠CAD=5x-14, then find m∠CAD.

Travka [436]

Answer: m∠CAD = 81°

Step-by-step explanation: Diagonal is a line that unites opposite sides.

ABCD is a prallelogram. One property of diagonal in a parallelogram is it separates the parallelogram in 2 congruent triangles.

The figure below shows ABCD with its diagonals.

Since diagonal divides a parallelogram in 2 congruent triangles, it means the internal angles are also congruent. So

m∠BAC = m∠CAD

4x + 5 = 5x - 14

x = 19

Then, m∠CAD is

m∠CAD = 5(19) - 14

m∠CAD = 81

The angle m∠CAD is 81°.

7 0

3 years ago

What is the equation of the line shown in this graph?

Grace [21]

Answer:

x=-2

Step-by-step explanation:

It is a straight line when x=-2 :)

8 0

3 years ago

2.25k - 20 = 6.5k + 14 please help me solve this step by step asap!

Rom4ik [11]

Answer:

k= -8

Explaining:

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

2.25k - 6.5k - 20= 6.5k - 6.5k + 14

Since two opposites add up to zero, remove them from the expression.

2.25k - 6.5k - 20= 14

Collect like terms!

-4.25k = 14 + 20

Add the numbers

-4.25k = 35

Divide both sides of the equation by -4.25

So you will get the answer: k= -8

8 0

3 years ago

Fund the equation of the line that passes through the points (1,2) and (3,12).

aalyn [17]

Answer:

y=5x-3

Step-by-step explanation:

slope is 5, plug in (1,2) for x and y to find b

8 0

3 years ago