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KengaRu [80]
2 years ago
9

The binomial (y − 2) is a factor of y2 − 10y + 16. What is the other factor?

Mathematics
2 answers:
PtichkaEL [24]2 years ago
5 0

Answer:

\left(y-8\right)

Step-by-step explanation:

y^2-10y+16

=\left(y^2-2y\right)+\left(-8y+16\right)

y^2-2y

=yy-2y

=y\left(y-2\right)

-8y+16

=-8y+8\cdot \:2

=-8\left(y-2\right)

=y\left(y-2\right)-8\left(y-2\right)

=\left(y-2\right)\left(y-8\right)

The other factor is:

\left(y-8\right)

lorasvet [3.4K]2 years ago
3 0
Incase it helps to have a slightly different approach, the way we learnt it is:

y2 - 10y + 16 = 0

When these are factorised, the brackets you have will need to expand to equal the above.

You need to find 2 numbers that multiply together to make the end number, c, and those 2 numbers must also add together to made the middle number, b.

So for this case, those two numbers would be -2 and -8.

Then these go into the brackets,
(y - 2) (y - 8) = 0

This can then be proven to be correct via expansion,

y x y = y2
y x -8 = -8y
-2 x y = -2y
-2 x -8 = 16

(y2) + (-8y) + (-2y) + (16) = 0

y2 - 8y - 2y + 16 = 0

y2 - 10y + 16 = 0

Hope this helps a little?
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Resale Value Garland Mills purchased a certain piece of machinery 2 years ago for $500,000. Its present resale value is $420,000
Natasha2012 [34]

Answer:

260,000

Step-by-step explanation:

The value decreases by 40,000 per year (500000-42000/2 years) the value will decrease by 240000 in six (4 years plus 2 years already passed) years. 6 x 40,000 =240000

So, the value should be 260,000 (500000-240000)

Or

year 1 500000-40000=460000

year 2 460000-40000=420000

year 3 420000-40000=380000

year 4 380000-40000=340000

year 5 340000-40000=300000

year 6 300000-40000=260000

6 0
2 years ago
herlene has 5.05 in quarters and dimes. The number of quarters is one more than twice the number of dimes. Find the number she h
VLD [36.1K]

Answer:

<em>Herlene has 8 dimes and 17 quarters</em>

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

x = number of dimes Herlene has

y = number of quarters Herlene has

Since each dime has a value of $0.10 and each quarter has a value of $0.25, the total money Herlene has is 0.10x+0.25y.

We know this amount is $5.05, thus:

0.10x + 0.25y = 5.05        [1]

It's also given the number of quarters is one more than twice the number of dimes, i.e.:

y = 2x + 1        [2]

Substituting in [1]:

0.10x + 0.25(2x + 1) = 5.05

Operating:

0.10x + 0.5x + 0.25 = 5.05

0.6x = 5.05 - 0.25

0.6x = 4.8

x = 8

From [2]:

y = 2*8 + 1 = 17

y = 17

Herlene has 8 dimes and 17 quarters

4 0
1 year ago
Keenan currently does a total of 888 pushups each day. He plans to increase the number of pushups he does each day by 222 pushup
marishachu [46]

Answer:

8 + 2x = 30

Step-by-step explanation:

Given,

The initial number of push-ups he does in each day = 8,

And, the number of push-ups, he increases per day = 2,

Let x be the number of days after he will reach his target of 30 push-ups,

Since, the number of push-ups she will increase in x days = 2x,

Thus, the number of push-ups she will do after x days = 8 + 2x,

⇒ 8 + 2x = 30, which is the required equation.

4 0
2 years ago
It takes Daphne 25 minutes to assemble a model plane. During her work day Daphne takes 30 minutes for lunch and one 15 minute br
natka813 [3]

Answer:

<h2>y=25p-45</h2>

Step-by-step explanation:

We first of all start by cumulating all the time she spent for break

lunch= 30min

break= 15min

total break= 45min

also the time taken to assemble one model plane 25min

let the number of hours be p

and the total number of model plane be y

The model is

y=25p-45

7 0
2 years ago
What is the volume of the prism? 1080 cm 2700 cm 3240 cm 6480 cm
makkiz [27]

Answer:

Volume of prism = 3,240 cm³

Step-by-step explanation:

GIven.

Hexagonal prism.

Side of base(b) = 12cm

Height of prism = 9cm

Height of base (h)= 10cm

Find:

The volume of the prism.

Computation:

Area of base of hexagonal prism = n/2[bh]

Area of base of hexagonal prism = 6/2[(12)(10)]

Area of base of hexagonal prism = 360 cm²

The volume of prism = Area of base of hexagonal prism × Height of prism

The volume of prism = 360 × 9

Volume of prism = 3,240 cm³

3 0
2 years ago
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