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ikadub [295]
3 years ago
15

What is the y-intercept of y=3x+5

Mathematics
2 answers:
Maru [420]3 years ago
8 0
The y-intercept would be 5

Step by step explanation
Vitek1552 [10]3 years ago
5 0

Answer:

5

Step-by-step explanation:

y-intercept of y=3x+5 is 5

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{x{ x + 4<0 or 6x>-12)
lora16 [44]

Answer:

x\in (-\infty , -4) \cup (-2,+\infty)

Step-by-step explanation:

Solve the system of inequalities:

x + 4 < 0

OR:

6x > -12

The first inequality yields the solution:

x < -4

The second inequality gives the solution:

x > -2

The total solution is the disjunction of the individual solutions, i.e., the union of both.

It can be expressed as

\mathbf{x\in (-\infty , -4) \cup (-2,+\infty)}

4 0
3 years ago
The base of a solid in the xy-plane is the first-quadrant region bounded y = x and y = x^2. Cross sections of the solid perpendi
musickatia [10]
Check the picture below.

thus, if one side on the square is x - x², then the area for the square is (x - x²)(x - x²), or (x - x²)²

now... what is the "x" value for the region, let's check their intersection.

\bf \begin{cases}&#10;y=x\\&#10;y=x^2&#10;\end{cases}\implies x=x^2\implies 0=x^2-x\implies 0=x(x-1)&#10;\\\\\\&#10;x=&#10;\begin{cases}&#10;0\\&#10;1&#10;\end{cases}\\\\&#10;-------------------------------\\\\&#10;\displaystyle \int\limits_{0}^{1}\ (x-x^2)^2\cdot dx\implies \int\limits_{0}^{1}\ (x^2-2x^3+x^4)\cdot dx&#10;\\\\\\&#10;\cfrac{x^2}{2}-\cfrac{2x^4}{4}+\cfrac{x^5}{5}\implies \left. \cfrac{x^2}{2}-\cfrac{x^4}{2}+\cfrac{x^5}{5} \right]_{0}^{1}\implies \left[ \cfrac{1}{2}-\cfrac{1}{2}+\cfrac{1}{5} \right]-[0]\implies \cfrac{1}{5}

4 0
3 years ago
Read 2 more answers
Need help with this question. I tried simplifying the radical, but apparently it’s not the answer
sesenic [268]

Answer:

-1/5+(√3)/20i   or   -0.2+0.05√3i

Step-by-step explanation:

  \dfrac{-8+\sqrt{-12}}{40}=-\dfrac{8}{40}+\dfrac{2\sqrt{3}i}{40}=\boxed{-\dfrac{1}{5}+\dfrac{1}{20}\sqrt{3}\,i=-0.2+0.05\sqrt{3}\,i}

_____

<em>Comment on answer form</em>

Satisfying the input format requirements of a computer is always problematic. One never knows if fractions or decimals are preferred, whether radicals must be simplified, and so on. If no clues are offered by general instructions, other questions, or previous experience, then it might be useful to consult your instructor.

4 0
3 years ago
As part of your retirement planning, you purchase an annuity that pays 5.75% annual interest compounded quarterly If you make qu
galina1969 [7]
I have the same question lol
8 0
2 years ago
Use the associative property to create equivalent expressions to a b (c d). Which statements are true? Check all that apply. The
nevsk [136]

The correct statements about the associative property to create equivalent expressions to a + b + (c + d) are as follows.

The associative property allows us to change the grouping of terms that are added together.

When changing the grouping, the order of the terms stays the same; only the parentheses change position.

The expression a + (b + c) + d is an equivalent expression.

The expression (a+ b) + c + d is an equivalent expression.

Given

Use the associative property to create equivalent expressions to a + b + (c + d).

<h3>Associative property;</h3>

Associative property explains that the addition and multiplication of numbers are possible regardless of how they are grouped.

The correct statements about the associative property to create equivalent expressions to a + b + (c + d) are as follows.

  • The associative property allows us to change the grouping of terms that are added together.

  • When changing the grouping, the order of the terms stays the same; only the parentheses change position.

  • The expression a + (b + c) + d is an equivalent expression.

  • The expression (a+ b) + c + d is an equivalent expression.

To know more about associative property click the link given below.

brainly.com/question/7043734

8 0
2 years ago
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