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3 years ago

Solve by using the quadratic formula. 3psquared+7p+2=0

Mathematics

2 answers:

Rainbow [258]3 years ago

8 0

Answer:

$\large\boxed{x=-2\ or\ x=-\dfrac{1}{3}}$

Step-by-step explanation:

The quadratic formula of a quadratic equation

$ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

We have the equation:

$3p^2+7p+2=0\to a=3,\ b=7,\ c=2$

Substitute:

$b^2-4ac=7^2-4(3)(2)=49-24=25\\\\\sqrt{b^2-4ac}=\sqrt{25}=5\\\\x_1=\dfrac{-7-5}{2(3)}=\dfrac{-12}{6}=-2\\\\x_2=\dfrac{-7+5}{2(3)}=\dfrac{-2}{6}=-\dfrac{1}{3}$

Serhud [2]3 years ago

6 0

Answer:

-1/3,-2

Step-by-step explanation:

The quadratic formula is [-b±√(b^2-4ac)]/2a. In this equations 3p^2 is a, 7p is b, and 2 is c.

Then just plug in the numbers.

[-7±√((-7^2)-4(3)(2)]/2(3)

[-7±√(25)]/6

(-7+5)/6 and (-7-5)/6

-1/3 and -2 are the answers, if you plug these numbers into the original equation, you find that they equal 0 which means that they work.

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65. Evaluate a-b+c for?

Rama09 [41]

Answer:

From the problem, the answer to the equation is 5 1/10

Step-by-step explanation:

First, let's gather the information from the problem.

a = 4 1/5 (also can be turned into 21/5)

b = 2 7/20 (also can be turned into 47/20)

c = 3 1/4 (also can be turned into 13/4)

Now, plug in the numbers using the improper fractions.

21/5 - 47/20 + 13/4

Turn the denominators into the same number.

84/20 - 47/20 + 65/20

Subtract 84/20 and 47/20.

37/20 + 65/20

Add 37/20 and 65/20.

102/20 or 5 1/10

So, your answer to this equation is 5 1/10.

7 0

3 years ago

Read 2 more answers

Plz help if you can Thank ya

koban [17]

Answer:

$90\pi$

Step-by-step explanation:

The first step is to find the slant height of the cone. Using the pythagorean theorem, you can find that $\sqrt{12^2+5^2}=13$ cm. Plugging this into the equation, you get $\pi \cdot 5 \cdot 13=90\pi$ . Hope this helps!

3 0

2 years ago

Write the equation of the line that passes through the point (-2, 7) and is PARALLEL to the line y = -4x + 1.

qwelly [4]

Answer:

The equation is $y=x-9$

Step-by-step explanation:

If we want a line parallel to the line in the problem it will have the same slope. The equation given in the problem is already in slope intercept form so we can take the slope for the new equation directly from this equation.

The slope-intercept form of a linear equation is: $y=mx+b$

Where m is the slope and b is the y-intercept value.

$y=1x-2$

Therefore the slope is

$m=1$

We can now use the point-slope formula to write the equation of the parallel line:

The point-slope formula states:

$(y-y1)=m(x-x1)$

Where m is the slope and $(x1,y1)$ is a point the line passes through.

Substituting the information from the problem gives:

$(y- (-7)=1(x-2)$

$(y+7)=1(x-2)$

Or, we can solve for y to put the equation in slope-intercept form:

$y+7=x-2$

$y+7-7=x-2-7$

$y+0=x-9$

$y=x-9$

3 0

3 years ago

Please help me guys!!

Temka [501]

Answer:

The bottom left box is 2.997, and then I guess you can do 0+3=3 for the right side

Step-by-step explanation:

With the boxes given, you do math for the left side to get 2.997. and then for the right side, if you are rounding to the nearest whole number, do 0+3=3. without context it is pretty confusing

6 0

3 years ago

I HAVE A MATH TEST PLZ HELP I'M GIVING OUT 50 POINTS PLZ S.O.S I HAVE MATH

Nady [450]

Answer:

Graph included as picture

Step-by-step explanation:

To solve this, plot the given points on the graph

Draw a line through them.

Now select two of those values and we'll find the rate of change.

We'll be using (1,-1) and (3,3)

To find rate of change we will be using the formula: $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

$y_{2} = 3\\y_{1} =-1\\x_{2} = 3\\x_{1} = 1$

$\frac{3-(-1)}{3-1} = \frac{4}{2} = 2$

So the rate of change is 2

You will use this rate of change for your other function because they both have the same rate of change

Since we have the rate of change, we can create the slope intercept form formula: y = mx +b

Just substitute for the variables we know

m = rate of change/slope = 2

b = y-intercept = -3

y = 2x + -3

[If you connected all the points in your graph, that's how you found the y-intercept]

Now we have to create the formula for the second function.

We know it will have that same slope of 2

so we have y = 2x + b

To solve for b we can plug in the values we do have which would be (x,y) of (3,6)

6 = 2(3) + b

Now solve

6 = 6 + b

6 (-6) = 6 (-6) + b

0 = b

b = 0

This mean that the y-intercept will be on (0,0)

Plot that point

Now we finish the formula

y = 2x + 0

Connect the dots, make sure the line continues on both of them past the dots and now you have your graph!

I've included a picture of the graph for your reference. I hope this helps, don't be afraid to reach out with further questions!

4 0

2 years ago