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3 years ago

Combining like terms with rational coefficients 7/8m+9/10-2m-3/5

Mathematics

1 answer:

nikklg [1K]3 years ago

7 0

Answer:

Ah yes, one of my favorite topics.

Step 1: Which ever fraction comes first, you will solve it first. For this question, focus on doing $\frac{7}{8}m-2m$ first. Afterwards, do $\frac{9}{10}-\frac{3}{5}$

Step 2: First one equals to 1.125. Next, find the LCD (lowest common dominator, which is 10). $\frac{9}{10} -\frac{6}{10}=\frac{3}{10}$

Step 3: 1.125+3/10

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Consider the equation ay'' + by' + cy = d, where a, b, c, and d are constants. (a) find all equilibrium, or constant, solutions

Orlov [11]

Rewrite equation so that it is homogeneous .
$ay'' +by' + cy = 0$

Solve characteristic equation:
$ar^2 +br + c = 0 \\ \\ r = \frac{(-b) \pm \sqrt{b^2 -4ac}}{2a}$

The solutions to the homogeneous equation are:
$y = k_1 e^{r_1 t} + k_2 e^{r_2 t}$

Finally you need the constant term in "cy" to equal 'd' to satisfy the particular solution.
$y= k_1 e^{r_1 t} + k_2 e^{r_2 t} + \frac{d}{c}$

4 0

3 years ago

A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name br

Marianna [84]

Answer:

The calculated value |Z| = |-2.5| >2.326 at 0.05 level of significance

The alternative hypothesis is accepted at a 0.05 level of significance

The manager of Publix in Clemson believes 64% is too high for his own store

Step-by-step explanation:

Step:-1

Given that the consumer Reports showed that 64% of supermarket shoppers.

Given that the population proportion

P = 0.64

Given that random sample size 'n' = 100

Given that 52 believe the supermarket brands were as good as the national brands.

sample proportion

$p^{-} = \frac{x}{n} = \frac{52}{100} = 0.52$

Step:-2

Null hypothesis: The manager of the Publix in Clemson believes 64% is too low for his own store

μ < 0.64

Alternative Hypothesis:H₁:μ > 0.64

Test statistic

$Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

$Z = \frac{0.52-0.64}{\sqrt{\frac{0.64 X 0.36}{100} } }$

Z = -2.5

Level of significance = 0.05

Z₀.₀₅ = 2.326

The calculated value |Z| = |-2.5| >2.326 at 0.05 level of significance

Final answer:-

The null hypothesis is rejected at a 0.05 level of significance

The alternative hypothesis is accepted at a 0.05 level of significance

3 0

3 years ago

Please Answers with steps...will be much appreciated!!!

11Alexandr11 [23.1K]

To solve the exercirses which are shown in the figure attached, you must follow the proccedure below:

7) (x)=x³-6x²+8x
(x)=x(x³-6x²+8)
(x)=(x-4)(x-2)x

The lenght is: x
The height is= (x-4)

8) √(2x+8)-6=4

1. You need to clear the variable "x". Then:

√(2x+8)=4+6
√(2x+8)=10
(√2x+8)²=10²
2x+8=100
2x=100-8
x=92/2
x=46

9) l4x+3l=9+2x

1. To solve the left member, you must evaluate two cases: it could be positive,or negative. Then:

2. Negative:

l4x+3l=9+2x
-4x-3=9+2x
-4x-2x=9+3
-6x=12
x=12/-6
x=-2

3. Positive:

l4x+3l=9+2x
4x+3=9+2x
4x-2x=9-3
2x=6
x=6/2
x=3

4 0

2 years ago

How do you solve #3? The one that is incorrect.

Sunny_sXe [5.5K]

Infinite they’re all multiples, so they are the same line

7 0

2 years ago

Please just answer it’s Urgent

viktelen [127]

Answer:

Adjacent

Step-by-step explanation:

Because supplementary angles make 180 degrees, complementary make 90 degrees, vertical angles are pairs of opposite angles made by two intersecting lines.

7 0

2 years ago