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azamat
3 years ago
14

The distance from Baltimore to New York is about 171 miles this is about 189 miles less then the distance from Baltimore to Bost

on how far is Baltimore from Boston if you stop in New York along the way
Mathematics
1 answer:
SVEN [57.7K]3 years ago
3 0
The distance from Boston to Baltimore is 360 miles away
Baltimore to New York is 171 miles
New York to Boston is 189 miles
Baltimore to Boston is 171+189
Baltimore to Boston is 360 miles away
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Express f(x) =3\x²- 1 in partial fraction​
BARSIC [14]

3/(<em>x</em> ² - 1) = 3/((<em>x</em> - 1) (<em>x</em> + 1)) = <em>a</em>/(<em>x</em> - 1) + <em>b</em>/(<em>x</em> + 1)

==>   3 = <em>a</em> (<em>x</em> + 1) + <em>b</em> (<em>x</em> - 1)

==>   3 = (<em>a</em> + <em>b</em>) <em>x</em> + <em>a</em> - <em>b</em>

==>   <em>a</em> + <em>b</em> = 3 and <em>a</em> - <em>b</em> = 0

==>   <em>a</em> = <em>b</em>

==>   <em>a</em> + <em>b</em> = 2<em>a</em> = 3   ==>   <em>a</em> = 2/3 and <em>b</em> = 2/3

So you have

3/(<em>x</em> ² - 1) = 2/(3(<em>x</em> - 1)) + 2/(3(<em>x</em> + 1))

7 0
3 years ago
8k^4 -3k^2 multiplied by 5k^2
S_A_V [24]

Answer: 40k⁶-15k⁴

Step-by-step explanation:

(8k^4-3k^2)(5k^2)=\\\\8k^4(5k^2)-3k^2(5k^2)=\\\\8(5)(k^{4+2})-3(5)(k^{2+2})=\\\\40k^6-15k^4

6 0
1 year ago
Read 2 more answers
You are making 10 tons of concrete that is 37.9% cement by mixing a 25% cement mixture with a 68% cement mixture.
Mnenie [13.5K]
The 10 tons should have 37.9% cement.

Let the 25% mixture be x tons

Then the 68% mixture will be (10 -x) tons.

Using formula for mixtures:
Let p for percentage and w for weight in tons.

p₁w₁ + p₂w₂ = pw

25*x + 68*(10-x) = 37.9*10

25x + 680 - 68x = 379

680 - 43x = 379

680 - 379 = 43x

301 = 43x

43x = 301

x = 301/43

x = 7

Recall that x, was for the 25% mixture, 7 tons.

a) For the 68% mixture, = 10 - x = 10 -7 = 3 tons.

b) For the 25% mixture = x = 7 tons.  
6 0
3 years ago
write an equation in slope-intercept form for the line that passes through (-2,5) and is perpendicular to the line described by
Rama09 [41]

Answer:

<h2>         y = ¹/₂x + 6</h2>

Step-by-step explanation:

The product of slopes of perpendicular lines is -1

y = - 2x + 6  ⇒   m₁ = - 2

m₁m₂ = -1

-2m₂ = -1

m₂ = ⁻¹/₋₂ = ¹/₂

The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is:  y - y₁ = m(x - x₁)

m = ¹/₂

(-2, 5)  ⇒  x₁ = -2,  y₁ = 5

So the equation in point-slope form:

                                                  y - 5 = ¹/₂(x - (-2))

Therefore:

y - 5 = ¹/₂x + 1

y = ¹/₂x + 1 + 5

<h3>y = ¹/₂x + 6</h3>
4 0
3 years ago
Jorge is one year younger than his brother. The sum of their ages is no less than 25 years. What is the youngest age Jorge's bro
blagie [28]
The answer you're looking for is 13
7 0
3 years ago
Read 2 more answers
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