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2 years ago

Fill in the blanks with <, > or = sign. [-4] __ [-8] [-100] _0

Mathematics

1 answer:

steposvetlana [31]2 years ago

4 0

Answer:

the first ones >

Step-by-step explanation:

the second ones <

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Let x and y be two positive numbers whose sum is 175 and (x+3)(y+4) is a maximum

Vaselesa [24]

Answer:

Step-by-step explanation:

x+y = 175

y = 175 - x

f(x) = (x+3)(y+4)

= x(175-x) + 3(175-x) + 4x + 12

= 175x - x² + 525 - 3x + 4x + 12

= -x² +176x + 537

f'(x) = -2x + 176

maximum when x = 88

y = 175-x = 87

4 0

3 years ago

What is the equation of the line that passes through (-3, -1) and has a slope of 2/5? Put your answer in slope-intercept form.

Zanzabum

Hi there!

The general formula of A line in slope-intercept form is the following:
$y = mx + n$

In this formula m represents the slope of the line. Therefore, we can conclude that m = 2/5.
$y = \frac{2}{5} x + n$

We also know that the line passes through the point (-3, -1) and we can therefore substitute this coordinate into the formula of the line.
x = -3 and y = -1

$- 1 = \frac{2}{5} \times - 3 + n$

Multiply first.
$- 1 = - 1\frac{1}{5} + n$

And finally add 1 1/5 to both sides of the equation.
$\frac{1}{5} = n$

We can now switch sides.
$n = \frac{1}{5}$

Now we've found our value of n, which we can substitute into the formula of our line. Hence, in slope-intercept form, we find the following:
$y = \frac{2}{5} x + \frac{1}{5}$

7 0

4 years ago

What is 7+6*(15-8)+3

Rama09 [41]

Use pemdas : so do parenthesis first 15-8, then multiply the answer by 6. OR u can use distributive property & multiply 6 by 15 & 8

3 0

3 years ago

Ameer uses \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction of a bottle of shampoo to give each of his dogs a bath.

svet-max [94.6K]

Answer:

138 3/8

Step-by-step explanation:

total shampoo used for 555 dogs = 1/4 x 555 = 138 3/8 bottles

7 0

3 years ago

An athlete runs an equal distance 2 days a week. The other 5 days of the week, he runs a total of 11 miles. Write an equation

katovenus [111]

Ok since the athlete an equal distance of 2 days a week and he runs a total of 11 miles in 5 days you will need to think back so before he had 11 miles done next weak he had a total of 19 miles so you will start at 11 then count up to 19.

Use a number line to show how many days it took for the athlete to get 19 miles.

Then once you do the number line count the lumps and that’s how many days it took for the athlete to get 19 miles.

Hope this helped.

3 0

3 years ago

Fill in the blanks with <, > or = sign. [-4] ______ [-8] [-100] _____0

Fill in the blanks with <, > or = sign. [-4] __ [-8] [-100] _0