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3 years ago

Expand and simplify( x+4)(x-3)

Mathematics

2 answers:

ivolga24 [154]3 years ago

8 0

Step-by-step explanation:

sertanlavr [38]3 years ago

5 0

Answer:

The answer is x² + x - 12.

Step-by-step explanation:

1) Use foil method: (a + b) (c + d) = ac + ad + b + bd.

${x}^{2} - 3x + 4x - 12$

2) Collect like terms.

${x}^{2} + ( - 3x + 4x) - 12$

3) Simplify.

${x}^{2} + x - 12$

hence, the answer is x² + x - 12.

You might be interested in

The angle of parallelogram is 12 less than 5 times the measure of these angle

Y_Kistochka [10]

let one angle be X

so, other angle be 5x-12

ATQ

X+5x-12=180

6x=180-12

6x=168

X=168/6

hence X=28

now,one angle=28

other angle is 5×28-12

= 140-12.

= 128

5 0

3 years ago

Please help thank you!

Lena [83]

1 is D, an angle bisector only cuts the original angle in half.

2 is
9x - 18 = 3x
6x - 18 = 0
6x = 18
x = 3

3 is 9(3) - 18 = 27 - 18 = 9

6 0

3 years ago

Please help, I need this .

ohaa [14]

14.4, if my calculator was correct

4 0

3 years ago

The American Bankers Association reported that, in a sample of 120 consumer purchases in France, 48 were made with cash, compare

tatuchka [14]

Answer:

Step-by-step explanation:

Hello!

You have the information for two variables

X₁: Number of consumer purchases in France that were made with cash, in a sample of 120.

n₁= 120 consumer purchases

x₁= 48 cash purchases

p'₁= 48/120= 0.4

X₂: Number of consumer purchases in the US that were made with cash, in a sample of 55.

n₂= 55 consumer purchases

x₂= 24 cash purchases

p'₂= 24/55= 0.4364

You need to construct a 90% CI for the difference of proportions p₁-p₂

Using the central limit theorem you can approximate the distribution of both sample proportions p'₁ and p'₂ to normal, so the statistic to use to estimate the difference of proportions is an approximate standard normal:

[(p'₁-p'₂) ± $Z_{1-\alpha /2}$ * $\sqrt{\frac{p'_1(1-p'_1)}{n_1} +\frac{p'_2(1-p'_2)}{n_2} }$ ]

$Z_{0.95}= 1.648$

[(0.4-0.4364)±1.648 * $\sqrt{\frac{0.4(1-0.4)}{120} +\frac{0.4364(1-0.4364)}{55} }$ ]

[-0.1689;0.0961]

The interval has a negative bond, it is ok, keep in mind that even tough proportions take values between 0 and 1, in this case, the confidence interval estimates the difference between the two proportions. It is valid for one of the bonds or the two bonds of the CI for the difference between population proportions to be negative.

I hope this helps!

8 0

3 years ago

What is the length of BC? If your answer is not an integer, leave it in simplest radical form.

IrinaVladis [17]

Answer: BC = 16√2 ft

Step-by-step explanation:

Triangle ABC is a right angle triangle. From the given right angle triangle, BC represents the hypotenuse of the right angle triangle.

With m∠W as the reference angle,

AB represents the adjacent side of the right angle triangle.

AC represents the opposite side of the right angle triangle.

To determine the length of BC, we would apply the Sine trigonometric ratio which is expressed as

Sin θ, = opposite side/hypotenuse. Therefore,

Sin 45 = 16/BC

√2/2 = 16/BC

BC = 16/(√2/2) = 16 × 2/√2

BC = 32/√2

Rationalizing the denominator, it becomes

BC = 32/√2 × √2/√2

BC = 32√2/2

BC = 16√2 ft

8 0

2 years ago

Expand and simplify( x+4)(x-3)​

Expand and simplify( x+4)(x-3)