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3 years ago

Simplify (9x+5y)-(3x-7y)

Mathematics

1 answer:

ella [17]3 years ago

6 0

Answer:

6x+12y

Step-by-step explanation:

U did not say show your work

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8% of what number is 2?

statuscvo [17]

The answer is 25, 25 x 8% is 2

4 0

3 years ago

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The midpoint of AB is M(-5,1). If the coordinates of A are (-4,-5), what are the coordinates of B?

Elenna [48]

<u>ANSWER:</u>

The midpoint of AB is M(-5,1). The coordinates of B are (-6, 7)

<u>SOLUTION: </u>

Given, the midpoint of AB is M(-5,1).

The coordinates of A are (-4,-5),

We need to find the coordinates of B.

We know that, mid-point formula for two points A $(x_{1}, y_{1})$ and B $(x_{1}, y_{2})$ is given by

$M\left(x_{3}, y_{3}\right)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

Here, in our problem, $\mathrm{x}_{3}=-5, \mathrm{y}_{3}=1, \mathrm{x}_{1}=-4 \text { and } \mathrm{y}_{1}=-5$

Now, on substituting values in midpoint formula, we get

$(-5,1)=\left(\frac{-4+x_{2}}{2}, \frac{-5+y_{2}}{2}\right)$

On comparing, with the formula,

$\frac{-4+x_{2}}{2}=-5 \text { and } \frac{-5+y_{2}}{2}=1$

$-4+\mathrm{x}_{2}=-10 \text { and }-5+\mathrm{y}_{2}=2$

$\mathrm{x}_{2}=-6 \text { and } \mathrm{y}_{2}=7$

Hence, the coordinates of b are (-6, 7).

5 0

4 years ago

To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before ad

aliya0001 [1]

Answer:

See below.

Step-by-step explanation:

Here is an example:-

Solve by elimination:

2x - 3y = 0

3x + 2y = 13

To eliminate the y terms Multiply the first equation by 2 and the second by 3. This gives:

4x - 6y = 0

9x + 6y = 39 Adding the 2 equations:

13x + 0 = 39

13x = 39

x = 39/13 = 3

Finally we find y by plugging x = 3 into the first equation:

2(3) - 3y = 0

3y = 2(3) = 6

y = 2.

4 0

2 years ago

leroy spent $2.50 on a kazoo. he spent $0.25 less than that on a yoyo. he bought a slice of pizza for $1.50, and a juice for hal

lakkis [162]

The answer is to your question is 6.5

5 0

4 years ago

Read 2 more answers

A person's blood pressure is monitored by taking 4 readings daily. The probability distribution of his reading had a mean of 13

ss7ja [257]

Answer:

a) Mean = 133, Standard deviation = 2.5

b) Normal distribution

c) 0.0026

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 4

Mean = 133

Standard deviation = 5

a) Mean and the standard deviation of the sampling distribution of the sample mean for the four observations each day.

The sampling distribution has a mean equal to the population mean

$\bar{x} = \mu = 133$

The standard deviation of the sampling distribution is given by:

$\sigma_s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{5}{\sqrt{4}} = 2.5$

b) Shape of the sampling distribution

Central limit theorem:

When a large sample is drawn from a normal distribution, then the distribution of sample means approaches a normal distribution.

Since the distribution is normal, the sampling distribution of the sample mean will be bell shaped and follow a normal distribution.

c) P(sample mean exceeds 140)

$P( x > 140) = P( z > \displaystyle\frac{140 - 133}{2.5}) = P(z > 2.8)$

$= 1 - P(z \leq 2.8)$

Calculation the value from standard normal z table, we have,

$P(x > 140) = 1 - 0.9974 = 0.0026$

0.0026 is the probability that the sample mean exceeds 140.

6 0

3 years ago