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alexandr402 [8]
3 years ago
15

Factor completely. 4x^2 - 28x + 40 =

Mathematics
1 answer:
sashaice [31]3 years ago
6 0

Answer:

(x - 2)(x - 5)

Step-by-step explanation:

First divide by 4.

x^2 - 7x + 10

See which numbers multiply to 10 and add to -7.

-2 and -5

(x - 2)(x - 5)

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Whats the output when the input is 1234n and the output is 10 12 14 16.
Grace [21]

Answer:

y=2x+8

Step-by-step explanation:

Alright so, to find the equation, we need to find the slope first. We can do that by turning the input and output into coordinates.

(1,10) and (2,12)

To find the slope, we do:

\frac{12 - 10}{2 - 1}

Which equals to 2

So right now we can say that the equation is:

y=2x+b

In order to find b, the constant, we just need to plug in the y values and x value of a coordinate:

10=2(1)+b

10=2+b

8=b

So now we can say that the equation is:

y=2x+8

4 0
3 years ago
Evaluate 1 plus negative 2/3 minus (-m) where m is 9/2
Mariana [72]

Answer:

Step-by-step explanation:

Negative 2/3 means -2/3

Hence;

1 + (-2/3) - (-m)

= 1 - 2/3 + m (positive x negative = negative, negative x negative = positive)

Substituting 9/2 for the value of m

= 1 - 2/3 + 9/2

The L.C.M = 6

= ( 6 - 4 + 27)/6

= 29/6

8 0
3 years ago
Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1). The triangle is translated 3 units to the left and 1 unit up. What are
tankabanditka [31]

The coordinates of point B' are (-3, 6).

<h2>Given that</h2>

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).

The triangle is translated as 3 units to the left and 1 unit up.

<h3>We have to determine</h3>

What are the coordinates of B' after the translation?

<h3>According to the question</h3>

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).

The triangle is translated as 3 units to the left and 1 unit up.

To find the coordinates of B', we will shift the x-coordinate of point B to left by 3 units and the y-coordinate of point B to 1 unit up.

After the given transformation the coordinates of point B' would be:

\rm B(0, \ 5) = B (0-3, \ 5+1) = B(-3, \ 6)

Therefore, the coordinates of point B' are (-3, 6).

To know more about Transformation click the link given below.

brainly.com/question/26297555

6 0
3 years ago
The area of a field can be expressed as A = 2x + 6 / x + 1 square yards. If the length is
Dafna1 [17]

Answer:

The width of the field is 4x + 20 / x² -2x -3 yards

Step-by-step explanation:

The area of a rectangular field is given by the following formula:

area = length*width

In this case we want to find the width of this field, therefore if we isolate the width in the expression above we will have a suitable expression:

width*length = area

width = area / length

So applying the data from the problem, we have:

width = [(2x + 6)/(x + 1)] / [(x² - 9)/(2x + 10)]

width = [(2x + 6)/(x + 1)]*[(2x + 10)/(x² - 9)]

width = 2(x + 3)*(2x + 10) / (x+1)*(x - 3)*(x + 3)

width = 2*(2x + 10) / (x + 1)*(x - 3)

width = 4x + 20 / x² -2x -3

5 0
3 years ago
Which expression is equivalent to (7 – 3k) – (4 – 5k) – (6 – 2k)?
gladu [14]

Answer:

The right response is "3(k-1)". A further solution is given below.

Step-by-step explanation:

The given expression is:

⇒ (7 -3k) - (4 - 5k) - (6 - 2k)

On solving the above expression, we get

⇒ 7-3k-4+5k-6+2k

⇒ 7-3k-10+7k

⇒ 3k-3

On taking "3" as common, we get

⇒ 3(k -1 )

3 0
3 years ago
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