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2 years ago

Solve the equation by factorisation method.

Mathematics

2 answers:

tia_tia [17]2 years ago

8 0

3(x+1) + 4(x) = 2x(x+1)
3x + 3 + 4x = 2x^2 + 2x
2x^2 - 5x - 3 = 0
if we factorise the quadratic equation
(2x + 1)(x - 3)=0
2x + 1 = 0 or x - 3 = 0
so x = -1/2 or x = 3

mash [69]2 years ago

6 0

Answer:

x = 3 or x = -1/2

Step-by-step explanation:

hope this helps you!

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Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to sta

Dafna11 [192]

Answer: r represents a significant linear correlation.

Step-by-step explanation:

GIven : Linear correlation coefficient: r = 0.543

Sample size: n= 25

Significance levle: $\alpha=0.05$

Degree of freedom : n-2 = 25-2=23

Now, we check r critical value table for value with df = 23 and $\alpha=0.05$ .

Critical value = ±0.396 [From r critical value table]

Since r = 0.543 > 0.396, that means there is significant linear correlation.

Hence, r represents a significant linear correlation.

8 0

3 years ago

Factor completely h^3+2h^2-9h-18

guapka [62]

Step 1: Group this into two groups:

$h^3 + 2h^2-9h-18=(h^3 + 2h^2)+(-9h-18)$

When you do that, be sure to group the "–" into the group with the 9 and make sure there's "+" between the groups.

Step 2: Factor out the GCF from both individual groups:

$(h^3 + 2h^2)+(-9h-18) = h^2 (h+2) -9(h+2)$

Step 3: Notice both groups have that (h+2)? That's a new GCF between the two groups, so factor that out:

$h^2 (h+2) -9(h+2) = (h+2)(h^2-9)$

Step 4: That $(h^2-9)$ piece can be factored further, since it's a difference of squares:

$(h+2)(h^2-9) = (h+2)(h+3)(h-3)$

Now it's factored.

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3 years ago

4. Given the diagram below what is the length of RS or the distance across a body of water?

kaheart [24]

Answer:

The answer is about 97.

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2 years ago

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AnnyKZ [126]

Answer:

Step-by-step explanation:

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3 years ago

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jekas [21]

Answer:

x = 2.4

Step-by-step explanation:

see image for explanation.

Hope it helps

8 0

2 years ago

Solve the equation by factorisation method. ​

Solve the equation by factorisation method.