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Shkiper50 [21]
3 years ago
9

factorise the following 1. x²-2x+15.... 2. y²-19y+90​

Mathematics
1 answer:
Marta_Voda [28]3 years ago
3 0

Answer:

1. x²-2x+15

This can't be factored, I've tried multiple ways now, but it just can't be factored.

2. y²-19y+90​

Let's factor y^2−19y+90

y^2−19y+90

The middle number is -19 and the last number is 90.

Factoring means we want something like

(y+_)(y+_)

Which numbers go in the blanks?

We need two numbers that...

   Add together to get -19

   Multiply together to get 90

Can you think of the two numbers?

Try -9 and -10:

   -9+-10 = -19

   -9*-10 = 90

Fill in the blanks in

(y+_)(y+_)

with -9 and -10 to get...

(y-9)(y-10)

Answer:

(y−9) (y−10)

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Solve each quadratic equation by factoring with grouping. 5v2 – 18v = -9
djyliett [7]

Answer:

v = 3 , 3/5

Step-by-step explanation:

5 {v}^{2}  - 18v + 9 = 0 \\ 5 {v}^{2}  - 3v - 15v + 9 = 0 \\ v(5v - 3) - 3(5v - 3) = 0 \\ (5v - 3)(v - 3) = 0 \\ v = 3 \\ v =  \frac{3}{5}

6 0
2 years ago
Ponderosa Paint and Glass carries three brands of paint. A customer wants to buy another gallon of paint to match paint she purc
sveta [45]

Answer:

\frac{4}{9}

Step-by-step explanation:

Two events are independent of each other, this is called Compound Probability. Classical example is if two coins are filped, what is the probability of getting two heads in a row.?

Answer: each has 50% probability because there are two states only, either H or T. since we have two coins the probability of getting two heads in row is the product of obtaining heads for each individual coin (which is independent of each other). or is \frac{1}{2}×\frac{1}{2} = \frac{1}{4} = 25%. (Notice!).

Back to our problem, now here we have 3 paint brands and one of them is the right paint brand and two of them are not correct brands. so the prabablity that the customer has picked not correct brand is \frac{2}{3} and her husband has not picked correct brand is also \frac{2}{3}, since two probabilities are compound probabilities i.e indepandant of each other the probablity that both woman and her husband fail get correct brand is the product of the two and is = \frac{2}{3}×\frac{2}{3} = \frac{4}{9}.

4 0
3 years ago
A pack of 6 cans of pop costs £1.80. A pack of 10 cans of pop costs £3.50.
Lelechka [254]

Let us look at the cost per can of both packs.

Cost of can in 6-pack = 1.80/6

                                      = £0.30

Cost of can in 10-pack = 3.50/10

                                     = £0.35

Since the cost of a can in the 6-pack is cheaper, it would be better to buy the 6-pack if you were looking to save money.

5 0
3 years ago
Please answer right away
spayn [35]

<u>Answer:</u>

The correct answer option is \frac { 4 } { 4 9 }.

<u>Step-by-step explanation:</u>

We are to find the probability that both your parents were born on weekend (either Saturday or Sunday).

Total number of days in a week = 7

Number of days in weekend = 2

Probability of being born on weekend = \frac { 2 } { 7 }

P (both parents were born on weekend) = \frac{2}{7} \times \frac{2}{7} = 4/49

3 0
3 years ago
What is this I don’t understand can you help me <br> 47% of 70
satela [25.4K]

Answer:

32.9

Step-by-step explanation:

47% of 70 would be answered by doing the following

0.47 x 70 = 32.9

To convert from a percent into a decimal, divide the percent by a hundred and you will have your decimal.

5 0
3 years ago
Read 2 more answers
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