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Marysya12 [62]
3 years ago
15

Solve: 2y + 5x=30 y = 3x + 4

Mathematics
1 answer:
mafiozo [28]3 years ago
6 0
Replace the second equation y=3x+4 into the first one:
2(3x+4)+5x=30
Now solve for x:
6x+8+5x=30
11x=30-8
11x=22
x=22/11
x=2
Finally, replace x=2 into y=3x+4
y=3*2+4
y=6+4 = 10
So the anwer is x=2, y=10
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g100num [7]

Determining a car's depreciation over a ten year period is considered a bivariate.

<h3>What is a bivariate?</h3>

A Bivariate data is made up of two variables that are observed against each other. In determining the deprecation of a car, the cost of the car is observed against the passage of time and the depreciation factor.  

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8 0
2 years ago
How do you do these questions?
Lady bird [3.3K]

Answer:

(e) csc x − cot x − ln(1 + cos x) + C

(c) 0

Step-by-step explanation:

(e) ∫ (1 + sin x) / (1 + cos x) dx

Split the integral.

∫ 1 / (1 + cos x) dx + ∫ sin x / (1 + cos x) dx

Multiply top and bottom of first integral by the conjugate, 1 − cos x.

∫ (1 − cos x) / (1 − cos²x) dx + ∫ sin x / (1 + cos x) dx

Pythagorean identity.

∫ (1 − cos x) / (sin²x) dx + ∫ sin x / (1 + cos x) dx

Divide.

∫ (csc²x − cot x csc x) dx + ∫ sin x / (1 + cos x) dx

Integrate.

csc x − cot x − ln(1 + cos x) + C

(c) ∫₋₇⁷ erf(x) dx

= ∫₋₇⁰ erf(x) dx + ∫₀⁷ erf(x) dx

The error function is odd (erf(-x) = -erf(x)), so:

= -∫₀⁷ erf(x) dx + ∫₀⁷ erf(x) dx

= 0

7 0
3 years ago
If VT=2,what is the length of PT?
marusya05 [52]

Step-by-step explanation:

\underline{ \underline{ \text{Given : }}}

  • Perpendicular ( P ) = VT = 2
  • Base ( b ) = PT
  • \theta =  \tt{60 \degree}

\underline{ \underline{ \text{Solution}}} :

\tt{ \tan(60 \degree)  =  \frac{perpendicualar}{base}}

⟶ \tt{ \sqrt{3}  =  \frac{2}{PT}}

⟶ \tt{ \sqrt{3}  \: PT= 2}

⟶ \tt{PT =  \frac{2}{ \sqrt{3}} }

⟶ \tt{PT= \boxed{\tt{ \frac{2 \sqrt{3} }{{3} }}}}

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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6 0
3 years ago
What is an equation of the line that passes through the points (-4, -5) and<br> (-8, -2)?
nikklg [1K]

Solution:

<u>Step-1: Find the slope of the line.</u>

Formula of slope: y₂ - y₁/x₂ - x₁

  • y₂ - y₁/x₂ - x₁ = Slope
  • => -2 - (-5)/-8 - (-4) = Slope
  • => -2 + 5/-8 + 4 = Slope
  • => 3/-4 = Slope

<u>Step-2: Use the point slope formula to determine the slope.</u>

Point slope form formula: y - y₁ = m(x - x₁)

  • y - y₁ = m(x - x₁) = Equation of line
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  • => y + 5 = -3x/4 - 3 = Equation of line
  • => y = -3x/4 - 8 = Equation of line

The equation of the line is <u>y = -3x/4 - 8.</u>

7 0
2 years ago
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vichka [17]

Answer:

5

Step-by-step explanation:

The equation says y equals 5. I attached a graph below:

6 0
3 years ago
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