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uysha [10]
3 years ago
9

Simplify (5x^2 -3x+3) - (x^2+2x-1).

Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
8 0

4x^2-5x+4 is the write answer

just open both brackets than just add and subtract


Natali [406]3 years ago
7 0
Eliminate parenthesis by using the distribution property

= 5x² -3x +3 - x² - 2x +1

Group similar terms

= (5-1)*x² + (-3 -2)*x + (3+1)

Then sum everything:

= 4x² -5x +4





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In ΔKLM, m = 160 cm, ∠M=145° and ∠K=28°. Find the length of l, to the nearest 10th of a centimeter.
Montano1993 [528]

Answer:

34.0 m

Step-by-step explanation:

The total angle sum in a triangle should be 180° hence the missing angle will be given by

180°-145°-28°=7°

Using sine rule

\frac {m}{sin M}=\frac {l}{sin L}=\frac {k}{sin K}

By substituting 160 for m, 145° for M and 7° for L then

\frac {160}{sin 145^{\circ}}=\frac {l}{sin 7^{\circ}}

Making l the subject then

l=\frac {160 sin 7^{\circ}}{sin 145^{\circ}}=33.9956345990643m\\l\approx 34.0m

3 0
3 years ago
Find the x and y intercepts. Write your answer as x =<br> y =<br> 2x + 5y = 10
Ann [662]
The x-intercept is present where y = 0

2x + 5y - 10 = 0
2x - 10 = -5y
2x - 10 = -5(0)
2x = 10
x = 5

The y-intercept is present where x = 0

2x + 5y = 10
2x + 5y - 10 = 0
5y - 10 = -2(0)
5y = 10
y = 2
6 0
3 years ago
In contract negotiations between a local government agency and its workers,
Liono4ka [1.6K]

Answer:

a. 0.4

b. Not independent.

Step-by-step explanation:

a. We use the probability table attached below for our calculations.

-the probability that an agreement is reached on both sides is obtained from the table:

P(Agreement)=\frac{400}{1000}\\\\\\=0.4

b. To determine whether the two events are independent, we compare the probabilities P(s)\times P(i) and P(s \ and \ i) where i denotes insurance and s denotes salaries:

P(s)\times P(i)=0.5\times 0.7\\\\=0.35\\\\\\P(s \ and \ i)=0.4

Two events are considered to be independent, if and only if:

P(A).P(B)=P(A\ and \ B)\\\\=>P(s).P(i)\neq P(s\ and\  i)

Hence, the events are not independent.

8 0
3 years ago
involving the selection of two apples from a bag of red and yellow apples without replacement. Assume that the bag has a total o
ivolga24 [154]

Answer:

1) The probability that the second apple is red is 0.7143 (71.43%).

2) The probability that at least one red apple is picked 0.9341 (93.41%).

Step-by-step explanation:

We can make a probability tree as the attached picture.

1) There are 2 ways in the probability tree when the second apple is red:

Both apples are red:

P(R∩R)=\frac{10}{14}\frac{9}{13}=0.4945

Only the second apple is red:

P(Y∩R)=\frac{4}{14}\frac{10}{13}=0.2198

The probability that the second apple is red is the sum of the previous probabilities.

P(2nd R)=P(R∩R)+P(Y∩R)=0.4945+0.2198=0.7143

2) To find the probability that at least one apple is red, we can get the probability of none of the apples is red and then it will be subtracted from 1.

The way in the probability tree is Y∩Y:

P(Y∩Y)=\frac{4}{14} \frac{3}{13}=0.0659

P(at least 1 R)= 1-P(Y∩Y)=1-0.0659=0.9341

8 0
4 years ago
Read 2 more answers
If b= a+3 then (a-b)^4=
Igoryamba

Answer:

81

Step-by-step explanation:

If b=a+3 then what will (a-b)^4 be?

We substitute b=a+3 into (a-b)^4 to get (a-(a+3))^4=(a-a+3)^4=(0-3)^4=(-3)^4=81

5 0
3 years ago
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