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3 years ago

Combine the like terms to create an equivalent expression: 7p-(-5)+(-1)

Mathematics

1 answer:

Aneli [31]3 years ago

3 0

Answer:

Remove parentheses.

7p+5-1

Collect like terms.

7p+(5-1)

Simplify.

7p+4

There u go mate

Step-by-step explanation:

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True or false? postulates are accepted as true without proof. a. true b. false

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Correct answer would be A. True
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3 years ago

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During science class, Jack, Jeff, and Jill measure the length of their bean sprouts. Jeff’s sprout is 0.9 times the length of Ja

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Answer:

Jill's is the longest.

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2 years ago

a. Determine whether f is a bijection function. Briefly explain. f colon spaceX rightwards arrow R comma space f (x )space equal

gladu [14]

Answer and Step-by-step explanation:

Solution:

(a) f is bijection function such that:

given function : f: x → R, and f(x) = cube root of x

a bijective function is one to one correspondence, each element of one set is paired with exactly one element of other set. And each element of other set paired with exactly one element of first set.

The domain of cube root function is the set of all real numbers.

A cube root can use all real numbers because it is possible for three negative to equal a negative.

(b) the domain of function:

f: x → R, and f(x) = 2 square root of x

a square root function contain a radical, since the radical cannot be negative, we can calculate for positive or zeroes value.

The domain of a function is its range.

Range of function is all valid outputs of that function.

square root is greater than or equal to zero so we use only nonnegative numbers in square root.

For square root function, range of function is values produced .x results in a radicand that is equal to or greater than zero.

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3 years ago

Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each sale

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If we take the paycheck amount of $1020 and subtract it by the weekly salary of $300.

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3 years ago

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What is the answer ?

Len [333]

Answer:

Thus, option (c) is correct.

β = 61.5

Step-by-step explanation:

Given , $\sin (\frac{x}{2}+20x)=\cos(2x+\frac{15x}{2})$ , we have to solve for x, and then find the value of β ( β > α )

Consider $\sin (\frac{x}{2}+20x)=\cos(2x+\frac{15x}{2})$ ,

First solve for x ,

$\Rightarrow \sin (\frac{x}{2}+20x)=\cos(2x+\frac{15x}{2})$

$\Rightarrow \sin (\frac{x+40x}{2})=\cos(\frac{4x+15x}{2})$

Thus, $\Rightarrow \sin (\frac{41x}{2})=\cos(\frac{19x}{2})$

Also, $\sin (90-\theta)=\cos \theta$ , we get,

Thus, $\Rightarrow \cos (90-\frac{41x}{2})=\cos(\frac{19x}{2})$

since, LHS = RHS thus, angle must be equal,

$\Rightarrow 90-\frac{41x}{2}=\frac{19x}{2}$

$\Rightarrow 90=\frac{19x}{2}+\frac{41x}{2}$

$\Rightarrow 90=\frac{19x+41x}{2}$

$\Rightarrow 90=\frac{60x}{2}$

$\Rightarrow x=3$

Thus, $\frac{x}{2}+20x=\frac{3}{2}+20(3)=\frac{3}{2}+60=61.5$ ,

Other angle can be found using angle sum property, as sum of angle of a triangle is 180°

Let third angle be y, then ,

90 + 61.5 + y = 180°

y = 180° - 151.5°

y = 28.5°

Since ( β > α ) ⇒ β= 61.5 and α = 28.5

Thus, option (c) is correct.

⇒ β = 61.5

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3 years ago