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4 years ago

Which expressions are equivalent?

Mathematics

2 answers:

shusha [124]4 years ago

5 0

3(a-b) and 3a-3b. Equivalent

2a(2+b) and 4ab. Not equivalent

kirza4 [7]4 years ago

4 0

Answer:

3(a-b) and 3a-3b. Equivalent

2a(2+b) and 4ab. Not equivalent

Step-by-step explanation:

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(20 points and brainlest to whoever answers correctly!!!)

Stells [14]

Answer:

y = -2/3x - 11

Step-by-step explanation:

Steps to find the perpendicular bisector:

1) Find the midpoint of line PQ

Midpoint formula: ( $\frac{x_{1} + x_{2} }{2} \\$ , $\frac{y_{1} + y_{2}}{2}$ )

Midpoint of line PQ = (6, -2)

2) Find the slope of line PQ

Slope formula: $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Slope of line PQ = 3/2

3) Find the negative reciprocal of the slope of PQ

To find the negative reciprocal just swap the numerator and denominator and add a negative sign. If it is already negative it will become positive.

In this case it will be -2/3

4) Write the equation of line PQ in slop-intercept form.

Slope-intercept form: y = mx + b

This is what it will look like for line PQ: y = $\frac{3}{2}$ x + b

5) Plug the points of the midpoint into the line and solve for the intercept (b)

This is what it will look like: -2 = $\frac{3}{2}$ (6) + b

-2 = 18/2 + b

-2 = 9 + b

-11 = b

6) Write the equation of the perpendicular bisector

m = the negative reciprocal of the slope of PQ = -2/3

This is what the equation will look like: y = -2/3x - 11

Hope this helped! Please give Brainliest!

5 0

3 years ago

Find the price of a $50 item after a 20% discount

il63 [147K]

20% = 0.20
50 * 0.20 = $10 discount
50 - 10 = 40

The price after 20% discount is $40

5 0

3 years ago

Read 2 more answers

When the polynomial is written in standard form, what are the values of the leading coefficient and the constant? 5x + 2 - 3x^2

earnstyle [38]

Leading coefficient = -3
Constant = 2

When you order them in standard form, you need to put them in ascending order of the exponents. Therefore the -3x^2 would come first, which makes the number attached (-3) the lead coefficient.

Also, since the number (2) without an x attached would be last (due to the power of x technically being 0), than that is the constant.

7 0

3 years ago

Prime between number of 1234 to 1352

qwelly [4]

prime between number of 1234 to 1352 are 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327

8 0

2 years ago

P(X< ) 1-P(X> ) A softball pitcher has a 0.626 probability of throwing a strike for each curve ball pitch. If the softball

Mashutka [201]

Answer:

19.49% probability that no more than 16 of them are strikes

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .