All categories

3 years ago

4x^2=27x+40 Solve by factoring

Mathematics

1 answer:

worty [1.4K]3 years ago

8 0

Answer: hewo, there! your answer is below

x= -5/4

or x= 8

Step-by-step explanation:

step 1: Subtract 27x+40 from both sides.

4x2−(27x+40)=27x+40−(27x+40)

4x2−27x−40=0

Step 2: Factor left side of equation.

(4x+5)(x−8)=0

Step 3: Set factors equal to 0.

4x+5=0 or x−8=0

hope this helps you

have a great Day

Plz makr branilest

You might be interested in

Help answer the question

lapo4ka [179]

Answer:

y=-3 x=4

Step-by-step explanation:

y=3x+3

y=3x+3 y=x-1

+1 +1

y+1=x

y=3(y+1)+3

y=3y+3+3

y=3y+6

-3y=-3y

-2y=6

-y=3

y=-3

3=x-1

+1=+1

4=x

4 0

3 years ago

How would you teach something you have learned this year in Math to someone younger than you? Write more than 5 sentences

rewona [7]

Answer:

ok here ya go

Step-by-step explanation:

A way that I would teach someone something that I learned in math this year to someone else is simple. I would start by writing everything out so that they have a visual of what I am teaching them. I would also use a visual of a real world situation so that it relates to something they would understand. Teaching someone younger than you means they probably will not understand as easy as you understood it so, I would be very slow and make sure if they are confused to help them. I would also make sure not to be too bossy, understanding that they may not understand and that is ok.

5 0

3 years ago

What number must multiply each side of the equation 25x=10 to produce the equivalent equation x = 25?

insens350 [35]

Answer:

Multiply both sides by $\frac{5}{2}$

Step-by-step explanation:

Given

$\frac{2}{5}x = 10$

Required

Get an equivalent of $x = 25$

To do this, we simply multiply through by $\frac{5}{2}$

$\frac{5}{2} * \frac{2}{5}x = 10 * \frac{5}{2}$

$\frac{5*2}{2*5} x = 10 * \frac{5}{2}$

$\frac{10}{10} x = 10 * \frac{5}{2}$

$\frac{1}{1} x = 10 * \frac{5}{2}$

$x = 10 * \frac{5}{2}$

$x =\frac{10*5}{2}$

$x =\frac{50}{2}$

$x = 25$

5 0

3 years ago

Lines m and n are parallel Line m is described by the equation y = 40 +2. Line n contains the point (1, -3). Which of the follow

strojnjashka [21]

Answer:

B)Oy+ 3 = 4(x - 1)

Equation of the straight line y +3 = 4( x-1)

Step-by-step explanation:

Explanation:-

Step(i):-

Given that the equation y = 4x +2

and given that the point (1,-3)

The equation of the parallel line to the given line

ax +by +k=0

4x-y +k=0

This line is passing through the point (1,-3)

⇒ 4(1) -(-3) +k=0

⇒ 4+3 +k=0

7 +k=0

k =-7

The equation of the Parallel line 4x-y -7 = 0

Step(ii):-

Given that the slope m = 4 and the point (1,-3)

Equation of the straight line

y - y₁ = m(x-x₁)

y -(-3) = 4( x-1)

y +3 = 4( x-1)

5 0

3 years ago

Enter the number of complex zeros for the polynomial function in the box. f(x)=x3−96x2+400

ioda

Solution:

There is no (zero) complex zeros for the given polynomial.

Explanation:

We apply Descartes' rule of sign to identify the number of complex roots.

The given polynomial is $f(x)=x^3-96x^2+400$

Let us see the number of sign changes in f(x)

+,-,+

There are 2 sign changes in f(x). One from plus to minus and second from plus to minus. Hence, there 2 or 0 positive roots.

Now, let us see the number of sign changes in f(-x)

$f(-x)=-x^3-96x^2+400$

-,-,+

There are only one sign change. Hence, there will be 1 negative roots.

The degree of the polynomial is 3. Hence, there will be exactly 3 zeros.

Therefore, the possible numbers of zeros are

2 positive, 1 negative and 0 complex

0 positive, 1 negative and 2 complex.

Hence, possible number of complex zeros are 0 and 2.

Now, we graph the function in xy plane and see that the graph cuts the x axis at three points. It means all the zeros are real , which is the case of first possibility (2 positive, 1 negative and 0 complex).

Hence, the number of complex zeros for the given polynomial is zero.

5 0

4 years ago

Read 2 more answers