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Anvisha [2.4K]
3 years ago
6

Factor the expression.

Mathematics
2 answers:
Kamila [148]3 years ago
7 0

Answer:

5(5k²+6)(4k-3)

Step-by-step explanation:

100k³ - 75k² + 120k - 90

Take 5 common above:

= 5(20k³ - 15k² + 24k - 18) ------- eq1

First let simplify 20k³ - 15k² + 24k - 18

= (20k³ - 15k²) + (24k - 18) ---------eq2

Factor out 6 from 24k - 18 :

6(4k-3)

Factor out 5k² from (20k³ - 15k²):

5k²(4k -3)

eq2 becomes:   = 6(4k-3) + 5k²(4k -3)

Factor out common term 4k-3

(6+ 5k²)(4k -3) or (5k²+6)(4k-3)

Thus eq1 becomes:

5(5k²+6)(4k -3)

vova2212 [387]3 years ago
4 0

Answer:

The correct answer is Option 1. 5(5k² + 6)(4k - 3)

Step-by-step explanation:

The given expression is,

100k³ - 75k² + 120k - 90

<u>Factor the expression</u>

100k³ - 75k² + 120k - 90

= 5[20k³ - 15k² + 24k - 18]   [Taking 5 as common factor]

= 5[ 5k²(4k - 3) + 6(4k - 3) ]

= 5[(4k - 3)(5k² + 6)]

= 5[(5k² + 6) (4k - 3)]

Therefore the correct answer is Option 1. 5(5k² + 6)(4k - 3)

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It takes 34 pounds of seed to completely plants 5 acre field. How many pounds of seed are needed per acre?
Nataly [62]

Answer:

Step-by-step explanation:

Since 34 Lbs of seed is needed for 5 Acre's, You will need two find 1/5th of 34.

1/5 in decimal form is 0.2

34*0.2= 6.8

 

In order to cover 1 Acre of land you will need 6.8 lbs of seed.

 

Hope this helps!

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3 years ago
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Nuetrik [128]
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Question attached plz answer
Bezzdna [24]

Answer:

x = - 2.5

Step-by-step explanation:

Given that the sketch represents

y = x² + bx + c

The graph crosses the y- axis at (0 , - 14), thus c = - 14

y = x² + bx - 14

Given the graph crosses the x- axis at (2, 0), then

0 = 2² + 2b - 14

0 = 4 + 2b - 14 = 2b - 10 ( add 10 to both sides )

10 = 2b ( divide both sides by 2 )

b = 5

y = x² + 5x - 14 ← represents the graph

let y = 0 , then

x² + 5x - 14 = 0 ← in standard form

(x + 7)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 2 = 0 ⇒ x = 2

The x- intercepts are x = - 7 and x = 2

The vertex lies on the axis of symmetry which is midway between the x- intercepts, thus

the x- coordinate of the turning point is \frac{-7+2}{2} = \frac{-5}{2} = - 2.5

8 0
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vlada-n [284]
1520 ÷ 10 = 152

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Natali5045456 [20]

Answer:

no both are "=" hard

Step-by-step explanation:

3 0
3 years ago
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