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Mashutka [201]
3 years ago
5

Factor the trinomial below.

Mathematics
2 answers:
Sonja [21]3 years ago
5 0
The answer is B.
Proof:
-7+2=-5
-7*2=-14

Also, when you FOIL it becomes
x^2-7x+2x-14
That simplifies to
x^2-5x-14
noname [10]3 years ago
3 0

Answer:

The factored form is

x^2-7x+2x-14=(x+2)(x-7)

Step-by-step explanation:

Given the trinomial

x^2-5x-14

we have to factor the above trinomial.

x^2-5x-14

By middle term splitting method

x^2-7x+2x-14

Taking x common from first two terms and 2 from last two terms

x(x-7)+2(x-7)

(x+2)(x-7)

which are required factors.

Hence, option B is correct.

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What percent of 300 is 51
Gnoma [55]

Answer:

17

Step-by-step explanation:

300:51*100 =

(300*100):51 =

30000:51 = 588.24

Now we have: 300 is what percent of 51 = 588.24

Question: 300 is what percent of 51?

Percentage solution with steps:

Step 1: We make the assumption that 51 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x​.

Step 3: From step 1, it follows that $100\%=51$100%=51​.

Step 4: In the same vein, $x\%=300$x%=300​.

Step 5: This gives us a pair of simple equations:

$100\%=51(1)$100%=51(1)​.

$x\%=300(2)$x%=300(2)​.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{51}{300}$

100%

x%​=

51

300​​

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{300}{51}$

x%

100%​=

300

51​​

$\Rightarrow x=588.24\%$⇒x=588.24%​

Therefore, 17% of 300 is 51

3 0
4 years ago
Read 2 more answers
A cube-shaped hole is cut in a rectangular prism as shown below.
IgorC [24]
Surface area of the prism is 2xy+2xz+2yz 
I think, we can cut hole on the face of the prisma 40x30, and size of the whole will be 5X5X5
hole increases surface area. If side of the cube is "a", then a^2 is the area of the one face of the cube.  
when we are doing the hole, we remove 2 faces and add 4 more faces, so 
 2xy+2xz+2yz-2a^2+4a^2=  2xy+2xz+2yz+2a^2
So, 2*5*40+2*5*30+2*40*30+2*5^2=3150 cm^2
 i hope it helps, it is what i can come up with now



6 0
4 years ago
Read 2 more answers
Which of the following is an example of an irrational number (it’s the first question)
bulgar [2K]

Answer:

the 3rd answer 1.414213562...

Step-by-step explanation:

because an infinite decimal is not rational

8 0
4 years ago
Forty-eight pens are packaged in 4 boxes. How many pens are packaged in 9 boxes
polet [3.4K]
There are 108 in 9 boxes
3 0
3 years ago
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The length of a rectangle is three times its width, if the area of the rectangle is 108cm2, find its perimeter
PSYCHO15rus [73]

Answer:

The perimeter of rectangle is 48 cm.

Step-by-step explanation:

First, you have to form an expression for the length and the width. Let x be the width :

width = x cm

length = 3 × x = 3x cm

Then, you have to apply area of rectangle formula, A = length × width to find the value of x.Let area equals to 108 :

A = length × width

108 = 3x × x

3x² = 108

x² = 108 ÷ 3

x² = 36

x = √36

x = 6 cm

Lastly, you have to find perimeter :

length = 3 × 6 = 18 cm

width = 6 cm

Perimeter = 2(length + width)

P = 2(18 + 6)

P = 2(24)

P = 48 cm

8 0
3 years ago
Read 2 more answers
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