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2 years ago

5 ( x + y) +3 (2x +y)

Mathematics

1 answer:

satela [25.4K]2 years ago

7 0

Answer:

11x + 8y

Step-by-step explanation:

(5x + 5y) + 3 ( 3 · 2x + 3y)

(5x + 5y) + (6x + 3y)

5x + 5y + 6x + 3y

5x + 6x + 5y + 3y

11x + 8y

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The probability distribution shows the probability of the number of prior car accidents for 100 individuals that have put in a c

Jlenok [28]

Answer:

P ( less than 3 car accidents) = .6

Step-by-step explanation:

P ( less than 3 car accidents)

P (1 car accident) + P (2 car accidents)

.25+.35

7 0

2 years ago

If 4f(x)+f(5-x)=x2<br><br> What is f(x)?

aksik [14]

We are given that $4f(x)+f(5-x)=x^2$ .

Substitute x with 5-x, then the above equation becomes:

$4f(5-x)+f(5-(5-x))=(5-x)^2$ , that is

$4f(5-x)+f(x)=(5-x)^2$

So, we have the following system of equations:

i) $4f(x)+f(5-x)=x^2$
ii) $4f(5-x)+f(x)=(5-x)^2$

multiply the first equation by -4, so that we eliminate f(5-x)'s

i) $-16f(x)-4f(5-x)=-4x^2$
ii) $4f(5-x)+f(x)=(5-x)^2$

adding the 2 equations side by side we have:

$-15f(x)=-4x^2+(5-x)^2$

expanding the binomial, and collecting same terms we have:

$-15f(x)=-4x^2+(25-10x+x^2)$

$-15f(x)=-3x^2-10x+25$

dividing by -5:

$3f(x)=\frac{3}{5}x^2+2x-5$

dividing by 3:

$\displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3}$

Answer: $\displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3}$

6 0

3 years ago

A 10-foot ladder leans against a wall with its foot braced 3 feet from wallÍs base. How far up the wall does the ladder reach?

iren2701 [21]

The answer is √91 feet (which is the same as 9.54 feet).

Imagine this as a right triangle. A length of the foot is actually a hypotenuse (c). The distance from wall's base to the ladder foot is one of the sides of the triangle (let it be a).
So, using the Pythagorean theorem:
c² = a² + b²
It is given:
c = 10 feet
a = 3 feet
b = ?
c² = a² + b²
⇒ 10² = 3² + b²
100 = 9 + b²
b² = 100 - 9 = 91
⇒ b = √b² = √91 ≈ 9.54 feet

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2 years ago

Which of the following functions is graphed below?

alexandr1967 [171]

Answer: whats the answer

Step-by-step explanation:

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2 years ago

What is 21 1/2‐6 1/2

snow_tiger [21]

Answer

Step-by-step explanation:

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2 years ago

5 ( x + y) +3 (2x +y)​

5 ( x + y) +3 (2x +y)