All categories

2 years ago

Solve for x. Write the smaller solution first, and the larger solution second. (x -4)(-5x +1)=0

Mathematics

2 answers:

Vesnalui [34]2 years ago

4 0

The product of the two is 0, so one of them have to equal 0 as any number multiplied by 0 is 0.

First solution: x - 4 = 0

If x - 4 = 0, then x = 4. So the first solution for x is 4.

Second Solution: -5x + 1 = 0

Solving...

-5x + 1 = 0

-5x = -1

x = -1/-5

x = 1/5 or 0.2

So x = 0.2 and 4

Liula [17]2 years ago

4 0

Answer: smaller x= 1/5

Larger x=4

Step-by-step explanation:

You might be interested in

According to general equation for conditional probability, if P(A^B) = 2/3 and P(B) = 3/4, what is P(A|B)?

Alexxx [7]

Answer:

Step-by-step explanation:

5 0

3 years ago

Can anyone help me find the coordinates (?,?) given that the shape is a parallelogram? (15 points)

xxTIMURxx [149]

The missing coordinates of the parallelogram is (m + h, n).

Solution:

Diagonals of the parallelogram bisect each other.

Solve using mid-point formula:

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Here $x_1=m, y_1=n, x_2=h, y_2=0$

$$=\left( \frac{m+h}{2}, \frac{n+0}{2}\right )$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right )$

To find the missing coordinate:

Let the missing coordinates by x and y.

Here $x_1=0, y_1=0, x_2=x, y_2=y$

$$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{x}{2}, \frac{y}{2}\right )$

Now equate the x-coordinate.

$$ \frac{m+h}{2}=\frac{x}{2}$

Multiply by 2 on both sides of the equation, we get

m + h = x

x = m + h

Now equate the y-coordinate.

$$\frac{n}{2} = \frac{y}{2}$

Multiply by 2 on both sides of the equation, we get

n = y

y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

5 0

3 years ago

The vertex of this parabola is at (2, -4). When the y-value is -1, the x-value is 3. What is the coefficient of the squared term

rjkz [21]

Answer:

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, - 4) , thus

y = a(x - 2)² - 4

To find a substitute (3, - 1 ) into the equation

- 1 = a(3 - 2)² - 4 ( add 4 to both sides )

3 = a

Thus

y = 3(x - 2)2 - 4 ← equation in vertex form

= 3(x² - 4x + 4) + 4

= 3x² - 12x + 12 + 4

= 3x² - 12x + 16 ← equation in standard form

with coefficient of x² term = 3

5 0

3 years ago

Choose the correct symbol to complete the statement. 4.105 _____ 4.15

kogti [31]

< is the answer. Hope this helps!

4 0

2 years ago

Read 2 more answers

Hii please help i’ll give brainliest!!

castortr0y [4]

I am going to guess C but I’m not entirely sure

3 0

3 years ago

Read 2 more answers