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4 years ago

B) Solve the equation 2x² + 7x-8 = 0Give each value correct to 2 decimal places.

Mathematics

1 answer:

matrenka [14]4 years ago

4 0

Answer:

x = 0.907, -4.41

Step-by-step explanation:

* i rounded up on the second value btw*

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the price of a theater ticket increased from $7.00 to $7.25. The theater sold 350 tickets at the higher price with the price inc

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The theater made 8.75 more money

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4 years ago

Scott is reading two books at the same time to prepare for a report he is writing. So far, he has read 407 of the total number o

Hitman42 [59]

Answer:

The system of equations are

x+y=557

$\frac35x+\frac56 y=407$

The total pages in shorter book is 245

The total pages in longer book is 312

Step-by-step explanation:

Given that,

Scott has read 407 of the total number of 557 pages, which $\frac35$ of the shorter book and $\frac56$ of longer book.

Total number of pages of shorter book be x and longer book be y.

Then,

$\frac35$ page of the shorter book $=\frac35 x$

$\frac56$ pages of the longer book = $\frac56y$

So, he has read $=\frac35x+\frac 56y$

Total number of pages of both book is = x+y

According to the problem,

x+y=557.........(1)

$\frac35x+\frac56 y=407$ .......(2)

We can write equation (2) as

$\frac35x+\frac56 y=407$

$\Rightarrow \frac{18x+25y}{30}=407$

$\Rightarrow {18x+25y}=407\times 30$

$\Rightarrow {18x+25y}=12,210$ ......(3)

Now 18 times of equation (1) subtract from equation (3)

18x+25y=12210

18x+18y=10026

- - -

_______________

25y-18y=12,210-10,026

⇒7y=2,184

$\Rightarrow y=\frac{2184}{7}$

⇒y= 312

Plug y=312 in equation (1)

x+312=557

⇒x=557-312

⇒x=245

The total pages in shorter book is 245

The total pages in longer book is 312

5 0

3 years ago

In a state lottery 25 balls numbered from 1 to 25 and placed in machine. 6 numbers randomly drawn. And here is the chart what ca

Pepsi [2]

Answer: 0.00000565

Step-by-step explanation:

Required to win:

6 number match $10,000

5 number match $ 5,000

4 number match $ 1000

3 number match $ 5,00

2 number match $ 50

1 number match $ 10

Therefore, to win $10,000 ;

All 6 numbers must match

Number of right numbers = 6

Total numbers = 25

Since it is without replacement :

Probability = required outcomes / Total possible outcomes

P(First number match) = 6/25

P(second number match) = 5/24

P(third number match) = 4/23

P(fourth number match) = 3/22

P(fifth number match) = 2/21

P(sixth number match) = 1 / 20

Therefore, Probability of winning $10000 :

(6/25) * (5/24) * (4/23) * (3/22) * (2/21) * (1/20) = 720 / 127512000 = 0.0000056465

= 0.00000565

8 0

4 years ago

Trigonometry question

ehidna [41]

Answer:

The scale factors that make figure smaller are the option D. -0.5 and the option E. 0.25

Step-by-step explanation:

we know that

If the absolute value of the scale factor is greater than 1, then the image will be larger than the pre-image.

If the absolute value of the scale factor is less than 1, then the image will be smaller than the pre-image.

If the absolute value of the scale factor is equal to 1, then the image will be the same size than the pre-image.

Additionally, a negative scale factor causes the dilation to rotate 180 degrees

therefore

In this problem

The scale factors that make figure smaller are the option D. -0.5 and the option E 0.25

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3 years ago

ohn is interested in purchasing a multi-office building containing five offices. The current owner provides the following probab

Galina-37 [17]

Answer:

$28,875

Step-by-step explanation:

The given table is:

$\left|\begin{array}{c|cccccc}$Number of Lease Offices&0&1&2&3&4&5\\$Probability&5/32&3/16&3/32&1/4&9/32&1/32\end{array}\right|$

The expected probability is derived using the formula: $\sum_{i=0}^{5}x_iP(x_i)$

Therefore, for the given distribution,

Expected Probability

$=(0*\frac{5}{32})+ (1*\frac{3}{16})+ (2*\frac{3}{32})+ (3*\frac{1}{4})+ (4*\frac{9}{32})+ (5*\frac{1}{32})\\=2.40625$

If each yearly lease is $12,000

The Expected Yearly Lease for the Whole Building=2.40625 X 12000

=$28,875

4 0

3 years ago

B) Solve the equation 2x² + 7x-8 = 0Give each value correct to 2 decimal places.​

B) Solve the equation 2x² + 7x-8 = 0Give each value correct to 2 decimal places.