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Stolb23 [73]
3 years ago
9

Solve the equation b/4 +2=-1

Mathematics
1 answer:
Tema [17]3 years ago
5 0

Answer:

b = -4

Step-by-step explanation:

\frac{b}{4} + 2 = 1\\\\\frac{b}{4} = -1\\\\b = -4

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What are the possible numbers of positive, negative, and complex zeros of f(x) = 3x4 − 5x3 − x2 − 8x + 4?
Scorpion4ik [409]

Answer:

Two positive zeros, no negative zeros, two complex roots.

Step-by-step explanation:

The given function is f(x)=3x^4-5x^3-x^2-8x+4

According to the fundamental theorem of algebra, the function will have 4 roots.

The graph of the function intersects the positive axis at two points.

Hence the function has two positive zeros and no negative zeros.

The two remaining roots are imaginary. The function has two complex zeros.

See graph in attachment

3 0
3 years ago
A diver starts at the surface of the water and travels 8 feet to the bottom.
Sauron [17]

Answer:

On the graph B, at 0 seconds the graph will be <u>at y=0.</u>

The graph will be <u>going down</u> until 2 seconds, when the diver reaches her deepest point. At 2 seconds the height of the graph will be -8ft.

Step-by-step explanation:

In graph B we are measuring the distance from the surface, that is we are setting the surface to be y=0. Thus if the diver reaches her deepest point 8ft down, she will be below y=0 and at -8ft.

Thus, in shape the graph B will be similar to graph A, but it will be shifted downed by 8ft.

7 0
3 years ago
Read 2 more answers
Kinard's Kennels Inc. ROE is 20%. Their dividend payout ratio is 70%. The last dividend, just paid, was $2.00. If dividends are
bulgar [2K]

Answer:

option C

Step-by-step explanation:

given,

ROE = 20 %

dividend payout ratio = 70%

paid = $ 2.00

value of current stock if required return is 18% = ?

g = (1 - payout ) x  ROE

  = (1 - 0.7 ) x 20%

  = 6 %

dividend =  2 (1 + growth rate)

               = 2 x (1 + 0.06) =$ 2.12

as current value of stock

        = \dfrac{D1}{required\ return - growth \ rate}

        = \dfrac{2.12}{0.18 - 0.06}

        = $17.67

hence, the correct answer is option C

8 0
2 years ago
The ratio of students to teachers at a school is 19 to 1 how many students are there in each total number of people
vladimir2022 [97]

<u>Question</u>:

The ratio of students to teachers at a school is 19 : 1. How many students are there in each total number of people?

A: 100 people

b. 280 people

c.440 people

d.760 people

<u>Answer</u>:

A )95 students  and 5 teachers

B)266 students  and 14 teachers

C)418 students  and 22 teachers

D)722 students  and 38 teachers

<u>Step-by-step explanation:</u>

<u><em>A: 100 people</em></u>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{100}{20}

scale factor  = 5

The number students is 19 \times 5 = 95

The number of teachers is 1 \times 5 = 5

<em><u>b. 280 people </u></em>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{280}{20}

scale factor  = 14

The number students is 19 \times 14 = 266

The number of teachers is 1 \times 14 =  14

<em><u>c.440 people</u></em>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{440}{20}

scale factor  = 22

The number students is 19 \times 22 = 418

The number of teachers is 1 \times 22 =  22

<em><u>d.760 people</u></em>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{760}{20}

scale factor  = 38

The number students is 19 \times 38 = 722

The number of teachers is 1 \times 38 =  38

5 0
3 years ago
I need help with this
Lerok [7]

why does maths have to be confusing

5 0
2 years ago
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