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Vera_Pavlovna [14]
3 years ago
7

It takes a boat going upstream 5 hours to cover the same distance, as it would cover in 3 hours going downstream. What is the sp

eed of the boat if the speed of the current is 2 kilometers per hour?
Mathematics
1 answer:
Vaselesa [24]3 years ago
8 0

Answer: 15 kilometers per hour

Step-by-step explanation:

You might be interested in
A grid of a hundred square show 7 shaded squares what decimal number is represented​
Tems11 [23]

Answer:

0.07

Step-by-step explanation:

From the question, a given grid was divided into a definite number of squares with some of the squares shaded.

Total number of squares in the grid = 100

number of shaded squares in the grid = 7

Thus, 7 squares are shaded out of 100 square in the grid.

So that this can be expressed in fraction as;

\frac{number of shaded squares}{total number of squares} = \frac{7}{100}

                                = 0.07

The decimal number of the squares represented is 0.07.

3 0
3 years ago
Form quadratic functions given the following information:
nignag [31]

Answer:

f(x)=-\frac{4}{7}(x-\sqrt{2}-3)(x+\sqrt{2}-3)

or

f(x)=-\frac{4}{7}(x^2-6x+7)

Step-by-step explanation:

we have

f(3+√2 )=f(3− √2 )=0

so

x1=3+√2 and x2=3−√2 are the roots or x-intercepts of the quadratic equation

The quadratic equation in factored form is equal to

f(x)=a(x-x1)(x-x2)

substitute

f(x)=a(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))

Find the value of the coefficient a

Remember that

f(1)=−8

so

For x=-1 -----> f(x)=-8

substitute

-8=a(-1-(3+\sqrt{2}))(-1-(3-\sqrt{2}))

solve for a

-8=a(-4-\sqrt{2}))(-4+\sqrt{2}))

apply difference of squares

-8=a(14)

a=-\frac{4}{7}

therefore

f(x)=-\frac{4}{7}(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))

f(x)=-\frac{4}{7}(x-\sqrt{2}-3)(x+\sqrt{2}-3)

simplify

Applying distributive property

f(x)=-\frac{4}{7}(x^2+\sqrt{2}x-3x-\sqrt{2}x-2+3\sqrt{2}-3x-3\sqrt{2}+9)

f(x)=-\frac{4}{7}(x^2-6x+7)

5 0
4 years ago
A 750ml bottle of highland.Spring Water cost $0.96.Work out the cost per litre when bought in this way
iris [78.8K]

Answer:

$1.28 per liter

Step-by-step explanation:

750ml/1 L = .75

.96/.75 = 1.28

5 0
3 years ago
According to a study, 91% of all adults have a cell phone. An employee of a cell phone company attends a community event and has
umka2103 [35]

Answer:

(0.91)^{20}(0.09)

Step-by-step explanation:

6 0
3 years ago
Which of the following functions best describes this graph
Sveta_85 [38]
This one has zeros of -2 and -5 which can be put into binomials 

(x+2)(x+5), FOIL this to get

x^2 + 7x + 10, which is option C. 
7 0
3 years ago
Read 2 more answers
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