All categories

2 years ago

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

Mathematics

1 answer:

11Alexandr11 [23.1K]2 years ago

4 0

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

You might be interested in

ANSWER ASAP! WILL

STALIN [3.7K]

Answer:

i depends on what the equation is.

7 0

3 years ago

The lifetime of a certain type of battery is normally distributed with mean value 15 hours and standard deviation 1 hour. There

KIM [24]

Answer:

If the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1

Sample size = 4

Total lifetime of 4 batteries = 40 hours

We are given that the distribution of lifetime is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling:

$\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{1}{\sqrt4} = 0.5$

We have to find the value of x such that the probability is 0.05

P(X > x) = 0.05

$P( X > x) = P( z > \displaystyle\frac{x - 40}{0.5})=0.05$

$= 1 -P( z \leq \displaystyle\frac{x - 40}{0.5})=0.05$

$=P( z \leq \displaystyle\frac{x - 40}{0.5})=0.95$

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

$\displaystyle\frac{x - 40}{0.5} = 1.64\\x = 40.825 \approx 40.83$

Hence, if the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

8 0

3 years ago

Sharon wants to make a graph to show the relationship between the number of tickets sold and the price of tickets sold. She plot

Masteriza [31]

The statement that best describes the graph is “It will not be spread out across the entire coordinate plane because in Step 3 Sharon plotted the independent variable on the y-axis.”

To add, graphing is a powerful tool for representing and interpreting numerical data. In addition, graphs and knowledge of algebra can be used to find the relationship between variables plotted on a scatter chart.

4 0

3 years ago

Use the inequality 18 < -3(4x - 2)<br> Solve the inequality for x. <br> Show your work.

IrinaVladis [17]

Answer:

x > -1

Step-by-step explanation:

Simplify the inequality using the distributive property (multiply the term outside the bracket with each number inside the bracket). Then, isolate 'x' by performing the reverse operations for every number that's on the same side as 'x'. (Reverse operations 'cancel out' a number.)

18 < -3(4x - 2) Expand this to simplify

18 < (-3)(4x) - (-3)(2) Multiply -3 with 4x and -2

18 < -12x + 6 Start isolating 'x'

18 - 6 < -12x + 6 - 6 Subtract 6 from both sides

18 - 6 < -12x '+ 6' is cancelled out on the right side

12 < -12x Subtracted 6 from 18 on the left side

12/-12 < -12x/-12 Divide both sides by -12

12/-12 < x 'x' is isolated. Simplify left side

-1 < x Answer

x > -1 Standard formatting puts variable on the left side

6 0

3 years ago

Can you explain step by step for #15 and #16 I have a test on this tomorrow

RUDIKE [14]

Answer:

15.

$\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.$

16. 10 ml of 20% saline and 40 ml of 10% saline

Step-by-step explanation:

A chemist takes x ml of 20% saline and y ml of 10% saline. In total, he takes

x + y ml that is 50 ml, so

$x + y = 50.$

There are $0.2x$ ml of salt in x ml of 20% saline and $0.1y$ ml of salt in 10% saline. There are $0.12\cdot 50=6$ ml of salt in 50 ml of 12% saline. Thus,