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2 years ago

Rewrite in simplest terms: 4(-5u+3)-4(8u-1)4(−5u+3)−4(8u−1)

Mathematics

1 answer:

babymother [125]2 years ago

3 0

Answer:

640u

2

−492u+55

Step-by-step explanation:

notsure

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What is the domain and range of the function f(x) = x^2 -4x-5?

Tems11 [23]

F(x) = x²-4x-5, quadratic function,
Domain (the values if x) is all real numbers.

To find range we should draw a graph or to write an equation in vertex form.
f(x) = x²-4x+4-4-5
f(x) = (x-2)²-9
Point (-2,-9) is the vertex of the parabola, and it is a minimum because a parabola has positive sign in front of x², so it is looking up. Minimum value of y =-9
Range(the values of y) is [-9, ∞)

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3 years ago

Find the cosine of the angle between the planes x+y+z=0 and 4x+3y+z=1. Answer: cosθ=

marta [7]

The angle between the planes is the same as the angle between their normal vectors, which are

n₁ = ⟨1, 1, 1⟩

n₂ = ⟨4, 3, 1⟩

The angle θ between the vectors is such that

⟨1, 1, 1⟩ • ⟨4, 3, 1⟩ = ||⟨1, 1, 1⟩|| ||⟨4, 3, 1⟩|| cos(θ)

Solve for cos(θ) :

4 + 3 + 1 = √(1² + 1² + 1²) √(4² + 3² + 1²) cos(θ)

8 = √3 √26 cos(θ)

cos(θ) = 8/√78

4 0

2 years ago

Last time, one out of every 4 students in our class was absent. This time, after Jen came back, only one out of every 5 students

VMariaS [17]

Answer: There are 20 students and 4 students are not here today.

Step-by-step explanation:

If the number of students = 4

Let the number of students be 'x'.

Fraction of students absent = $\dfrac{x}{4}$

If the number of students = 5

Fraction of students absent = $\dfrac{x}{5}$

And Jen came back,

So, the fraction of student absent is also written as

$\dfrac{x}{4}-1$

According to question, it becomes,

$\dfrac{x}{5}=\dfrac{x}{4}-1\\\\\dfrac{x}{5}=\dfrac{x-4}{4}\\\\4x=5(x-4)\\\\4x=5x-20\\\\4x-5x=-20\\\\-x=-20\\\\x=20$

Hence, there are 20 students in our school.

And number of students are not here today is $\dfrac{20}{5}=4$

3 0

3 years ago

Kenneth ran a marathon (26.2) miles) in 5.5 hours. What was Kenneth’s average speed? (Round your answer to the nearest tenth.)

Serga [27]

Answer:

4.8 miles per hour.

Step-by-step explanation:

Average speed=Total distance/Time taken

=26.2miles/5.5hour

=4.8 miles per hour

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3 years ago

What is the equation for the line of reflection A. X=6 B. Y=6 C. Y=x D. Y=2

PilotLPTM [1.2K]

Answer:

x = 6

Step-by-step explanation:

The line of reflection is x = 6.

5 0

3 years ago