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kvasek [131]
3 years ago
9

7p-(3p+4)= -2(2p-1) + 10 Solve each equation.

Mathematics
1 answer:
Aliun [14]3 years ago
8 0
Perform the indicated multiplication:

<span>7p-(3p+4)= -2(2p-1) + 10

becomes 

7p - 3p - 4 = -4p + 2 + 10

Group like terms:

7p - 3p + 4p = 2 + 10 + 4

           8p      =   16 => p = 2 (answer)</span>
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Please help quick will give brainliest!
irina [24]

Answer: Choice A) There must be a vertical asymptote at x = c

Explanation:

The first limit \displaystyle \lim_{x\to c^{-}}h(x) = -\infty says that as x approaches c from the left side, the f(x) or y values approach negative infinity. So the graph goes down forever as x approaches this c value from the left side.

The limit \displaystyle \lim_{x\to c^{+}}h(x) = \infty means that as x approaches c from the right side, the y values head off to positive infinity.

Either of these facts are enough to conclude that we have a vertical asymptote at x = c. We can think of it like an electric fence in which we can get closer to, but not actually touch it.

8 0
3 years ago
Adjust the equation so the line passes through the points. Y=x+1
lapo4ka [179]

Answer:

Slope=  

2.000

2.000

​  

=1.000

x−intercept=  

−1

1

​  

=−1.00000

y−intercept=  

1

1

​  

=1.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(x+1)=0  

STEP

1

:

Equation of a Straight Line

1.1     Solve   y-x-1  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-x-1  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 1/1 so this line "cuts" the y axis at y= 1.00000

 y-intercept = 1/1  =  1.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 1/-1 Our line therefore "cuts" the x axis at x=-1.00000

 x-intercept = 1/-1  = -1.00000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.000 and for x=2.000, the value of y is 3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.000 - 1.000 = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  2.000/2.000 =  1.000  

Geometric figure: Straight Line

1.  Slope = 2.000/2.000 = 1.000

2. x-intercept = 1/-1 = -1.00000

3.  y-intercept = 1/1 = 1.00000

3 0
3 years ago
Write an equation that has x=3 as a solution
Damm [24]

Answer:

(3x + 5)/2 = 7

Step-by-step explanation:

If you substitute 3 for x, you get the equation:

(3(3) + 5)/2 = 7

(9 + 5)/2 = 7

14/2 = 7

8 0
3 years ago
Read 2 more answers
Factor x^2 + 5x + 10 completley
k0ka [10]
This should be the answer.

5 0
3 years ago
1) A projectile is thrown upward so that its distance above the ground after t seconds is
leonid [27]

Answer:

After 22 seconds the projectile reach its maximum height of 4,840 units

Step-by-step explanation:

we have

h(t)=-10t^{2}+440t

This is a vertical parabola downward (because the leading coefficient is negative)

The vertex is a maximum

Find out the coordinates of the vertex

Convert the quadratic equation in vertex form

Factor -10

h(t)=-10(t^{2}-44t)

Complete the square

h(t)=-10(t^{2}-44t+22^2)+(10)(22^2)

h(t)=-10(t^{2}-44t+22^2)+4,840

Rewrite as perfect squares

h(t)=-10(t-22)^{2}+4,840

The vertex is the point (22,4,840)

therefore

After 22 seconds the projectile reach its maximum height of 4,840 units

4 0
3 years ago
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