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tankabanditka [31]
3 years ago
10

Solve for x. 5(x 1) = 4(x 8)

Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0
Asssuming blanks are plus

5(x+1)=4(x+8)

distribute
a(b+c)=ab+ac

5(x+1)=5x+5

4(x+8)=4x+32

5x+5=4x+32
minus 4x from both sides
x+5=32
minus 5 from both sides
x=27
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According to the rational root theorem, which is a factor of the polynomial f(x)=3x^3-5x^2-12x+20?
MakcuM [25]

Answer:

(x-2), (x+2), (3x-5)

Step-by-step explanation:

Factors of 3: ±1, ±3

Factors of 20: ±1, ±2, ±4, ±5, ±10, ±20

Possible factors of the polynomial: ±1, ±2, ±3, ±4, ±5, ±10, ±20, .... (there's a lot more but you probably do not need to list them all)

Pick a number to divide the polynomial by (I picked 2)

(3x³-5x²-12x+20)÷(x-2) = 3x²+x-10

So (x-2) is a factor of f(x) = 3x³-5x²-12x+20

Factor 3x²+x-10 = (3x-5)(x-2) these are the other factors of f(x) = 3x³-5x²-12x+20

4 0
3 years ago
A soccer ball has an interior diameter of 22 cm. How many cubic centimeters of air does a soccer ball
Delvig [45]

Answer:

Volume of soccer ball = 5,572.45 Cm³ (Approx)

Step-by-step explanation:

Given:

Diameter of soccer ball = 22 Cm

Radius of soccer ball = 22 Cm / 2 = 11 Cm

Find:

Volume of soccer ball = ?

Computation:

Volume\ of\ soccer\ ball = \frac{4}{3} \pi r^3\\\\ Volume\ of\ soccer\ ball = \frac{4}{3} \times\frac{22}{7} \times 11^3\\\\ Volume\ of\ soccer\ ball = 5,572.45332

Volume of soccer ball = 5,572.45 Cm³ (Approx)

Therefore, Soccer ball contain 5,572.5 Cm³ of air.

5 0
3 years ago
In one month you had both a raise and a $250 bonus for exceeding your goals by 10%. Your old paycheck gross was $2,300, with a n
Allushta [10]
411$ that's how much his raise was 
8 0
3 years ago
Jeff was already 7 miles out of town when his sister
Nikolay [14]

The sister catches up Jeff after 2 hours

Step-by-step explanation:

We can write Jeff's position and his sister position at time t using the following expressions:

- Jeff position:

x_j(t) = 7 + 2.5 t

where:

7 is the initial position of Jeff when his sister sarts chasing him

2.5 is Jeff's velocity (in miles/hour), so its position increases by 2.5 miles for each hour

t is the time measured in hours

- Sister position:

x_s(t) = 6t

where

6 is the sister velocity (her position increases by 6 miles for every hour)

t is the time measured in hours

The sister catches up Jeff when the two positions are equal, so

x_j(t) = x_s(t)\\7+2.5t=6t

And solving for t,

7+2.5t-2.5t=6t-2.5t\\7=3.5t\\t=\frac{7}{3.5}=2 h

So, the sister catches Jeff after 2 hours.

Learn more about speed:

brainly.com/question/8893949

#LearnwithBrainly

5 0
3 years ago
Maren walks 3/5 miles in 24 minutes at a steady pace.  How long does it take her to walk 2 miles.
Ghella [55]
It would take Maren 80 minutes, or 1 hr and 20 min. Just divide the 24 minutes by the 3 in the numerator, then find out how many 1/5's it takes to get 2 and multiply that by what you got as your quotient
7 0
3 years ago
Read 2 more answers
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