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3 years ago

A number b increased by 3 is greater than or equal to -26

Mathematics

1 answer:

photoshop1234 [79]3 years ago

5 0

A number b increased by 3 is greater than or equal to -26:

$b+3\geq-26\qquad\text{subtract 3 from both sides}\\\\\boxed{b\geq-29}$

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Please help me!

RUDIKE [14]

Answer:

B. 1/9

Step-by-step explanation:

The positive square root of "x^2 - 4x + 4" is "x - 2". That value is already given to you, 1/3. Just square 1/3 to get 1/9.

7 0

3 years ago

Read 2 more answers

A boat can travel at an average speed of 10 miles per hour in still water. Traveling with the current, it can travel 6 miles in

oksano4ka [1.4K]

Answer: The speed of the current is 2 miles per hour.

Step-by-step explanation:

We know that the speed of the boat is:

S = 10 mph.

When the boat travels with the current, the speed will be:

S = 10mph + x

where x = speed of the current.

When the boat travels against the current, the speed will be:

S = 10mph - x

Now, for a given amount of time T, when the boat travels with the current, it moves a distance of 6 miles.

Then we have the equation:

(10mph + x)*T = 6mi

And against the current, in the same time the boat moves 4 mi, then:

(10 mph - x)*T = 4mi

Then we have the system of equations:

(10mph + x)*T = 6mi

(10 mph - x)*T = 4mi

Now, we can take the quotient of these two equations and get:

((10mph + x)*T)/((10 mph - x)*T) = (6mi/4mi)

(10mph + x)/(10 mph - x) = 3/2

Now we can solve this for x.

(10mph + x) = (3/2)*(10 mph - x)

10mph + x = (3/2)*10mph - (3/2)*x

x + (3/2)*x = (3/2)*10mph - 10mph

(5/2)*x = (1/2)*10mph = 5mph

x = (2/5)*5mph = 2mph.

The speed of the current is 2 miles per hour.

6 0

3 years ago

Read 2 more answers

Which expression is the factorization of x2 + 10x + 212

Montano1993 [528]

Answer:

The answer is option 1.

Step-by-step explanation:

Firstly, you have to elaborate the expression :

${x}^{2} + 10x + 21$

$= {x}^{2} + 3x + 7x + 21$

Next you have to take out the common factors and factorize it :

${x}^{2} + 3x + 7x + 21$

$= x(x + 3) + 7(x + 3)$

$= (x + 7)(x + 3)$

8 0

3 years ago

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If the dimensions of the following cylinder are quadrupled, what will be the volume of the new similar cylinder?

Alik [6]

Answer: First option is correct.

Explanation:

Since we have given that

Radius = 11 inches

Height = 14 inches

Now, according to question, we have mentioned that all the dimensions of the cylinder is to be quadrupled i.e. four times.

Then,

Radius is given by

$4\times 11=44 inches$

Height is given by

$14\times 4=56\ inches$

As we know the formula for " Volume of cylinder ":

$V=\pi r^2h\\\\V=3.14\times 44\times 44\times 56=340426.24\ in^3$

Hence, our volume of new similar cylinder is 340426.24 cubic in.

Therefore, First option is correct.

6 0

3 years ago

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Which of the following functions best describes this graph?

natita [175]

The answer is A sorry if I’m wrong

4 0

3 years ago