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2 years ago

Factorise first then solve these equations

Mathematics

1 answer:

trapecia [35]2 years ago

4 0

1) factorised is (x+4)(x+1)=0
So x=-4 x=-1

2) factorised is (a-4)(a-3)=0
So a=4 a=3

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Please help thank you.

marusya05 [52]

This problem can be completed in 2 ways. Both are acceptable.

Option 1:

This is an isosceles trapezoid that can be divided into a rectangle and two congruent triangles.

The area of the rectangle is the base times the height.

$9 \times 4=36$

The area of one of the triangles is half the base times the height.

$\dfrac{1}{2} \times 5 \times 4 = 10$

The other triangle must have that area too.

$36+10+10=56$

The area is 56 square centimeters.

Option 2:

We can use the area formula for the trapezoid.

$A=\dfrac{b_1+b_2}{2} \times h$

Where $b_1$ is the length of the shorter base
and $b_2$ is the length of the longer base
and $h$ is the height.

The length of the shorter base is 9.
The length of the longer base is 9+5+5, or 19.

The height is 4.

$A=\dfrac{9+19}{2} \times 4$

$=56$

Same answer. The area is 56 square centimeters.

Both options are two acceptable ways the problem can be tackled.

7 0

2 years ago

You pay $228.50 in taxes at a rate of 10.25% to buy a new TV. How much did the tv cost original? Round your number to the hundre

Allisa [31]

Answer:

$2229.27

Step-by-step explanation:

tax rate: 10.25%

tax amount: $228.50

price before tax: x

10.25% of x = $228.50

0.1025x = 228.5

x = 228.5/0.1025

x = 2229.27

Answer: $2229.27

5 0

2 years ago

Let X denote the time from the present until the stock market hits 25,000. If X ≤ 1, you win $10, 000X. If X > 1, you win not

const2013 [10]

Answer: $6321

Step-by-step explanation:

Expected value is given as exactly what you might think it means intuitively, the return you can expect for some type of action.

The basic expected value formula is the probability of an event multiplied by the amount of times the event happens:(P(x) * n).

he formula for the Expected Value for a binomial random variable is:

P(x) * X.

X is the number of trials and P(x) is the probability of success.

The formula for calculating the Expected Value where there are multiple probabilities is:

E(X) = ∑X * P(X)

The equation is basically the same, but here you are adding the sum of all the gains multiplied by their individual probabilities instead of just one probability.

Calculating the expected value of winning as follows:

Given,

Fx= e^-x, x is greater or equal to 0

Now, P less than or equal to zero =

[-e^-x] ^1

e^-0 - e^-1

= 1 - e^-1

= 0.6321

and P(x>1) = 1-0.6321= 0.3679

Therefore,Let y= amount of winnings.

Based on the above given information,

y= $10000 0

P(y)= 0.6321 0.3679

The expected value of winning:

E(y) = ΣyP(y)

E(y) = 10000 × 0.6321 + 0 × 0.3679

E(y) = $6321

Therefore, the expected value of winning is $6321

5 0

2 years ago

Determine if the sequence below is arithmetic or geometric and determine the

algol13

9514 1404 393

Answer:

r = 2

Step-by-step explanation:

The first differences between successive terms are ...

10 -5 = 5

20 -10 = 10

The differences are not constant, so the sequence is NOT arithmetic.

The ratios of successive terms are ...

10/5 = 2

20/10 = 2

The ratios are constant, so the sequence is ...

geometric with a common ratio of 2.

4 0

2 years ago

A bottle of tnt tonic contains 10 1/2 ounces and sells for 98¢ what is the cost per ounce

Rashid [163]

0.09 is the answer, hope this helps

4 0

3 years ago