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3 years ago

Solve this equation: 80= 3y + 2y +4 +1

Mathematics

1 answer:

spin [16.1K]3 years ago

8 0

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Use the quadratic formula to solve x^2 -3x - 5 = 0. Round to two decimal places.

Evgen [1.6K]

Answer:

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=\frac{3+\sqrt{29}}{2},\:x=\frac{3-\sqrt{29}}{2}$

Step-by-step explanation:

Given the equation

$x^2\:-3x\:-\:5\:=\:0$

solving with the quadratic formula

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}$

$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=1,\:b=-3,\:c=-5$

$x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:1\cdot \left(-5\right)}}{2\cdot \:1}$

$x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{29}}{2\cdot \:1}$

separating the solutions

$x_1=\frac{-\left(-3\right)+\sqrt{29}}{2\cdot \:1},\:x_2=\frac{-\left(-3\right)-\sqrt{29}}{2\cdot \:1}$

solving

$x=\frac{-\left(-3\right)+\sqrt{29}}{2\cdot \:\:1}$

$=\frac{3+\sqrt{29}}{2\cdot \:1}$

$=\frac{3+\sqrt{29}}{2}$

also solving

$\:x=\frac{-\left(-3\right)-\sqrt{29}}{2\cdot \:\:1}$

$=\frac{3-\sqrt{29}}{2\cdot \:1}$

$=\frac{3-\sqrt{29}}{2}$

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=\frac{3+\sqrt{29}}{2},\:x=\frac{3-\sqrt{29}}{2}$

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3 years ago

5) a. Domain<br> b. Range

Mekhanik [1.2K]

Answer:

Do doors do I do I do I scoc

Step-by-step explanation:

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3 years ago

Given the numbers 9 and 6 as legs of a right triangle, what is the length of the hypotenuse? Round your answer to the nearest

Ivahew [28]

$hypotensuse \: = \sqrt{ {6}^{2} + {9}^{2} } = \sqrt{36 +81 } = \sqrt{117} = 10.82$

6 0

3 years ago

G (1) = ?<br> Evaluate piecewise functions

kobusy [5.1K]

Answer:

g(1) = 1

Step-by-step explanation:

g(1) with x = 1 corresponds to x ≠ - 2, - 1 with g(x) = x³ - x² + 1 , then

g(1) = 1³ - 1² + 1 = 1 - 1 + 1 = 1

6 0

3 years ago

Read 2 more answers

The map shows the length (in miles) of shoreline along the Gulf of Mexica for each state that borders the body of water. What is

Jet001 [13]

Answer:

TX: 0.23

LA: 0.24

MS: 0.03

AL: 0.03

FL: 0.47

Step-by-step explanation:

In the figure attached, the map is shown.

Total length of the shoreline: 367 + 397 + 44 + 53 + 770 = 1631 miles

probability of the ship landing in Texas: 367/1631 = 0.23

probability of the ship landing in Louisiana: 397/1631 = 0.24

probability of the ship landing in Mississippi: 44/1631 = 0.03

probability of the ship landing in Alabama: 53/1631 = 0.03

probability of the ship landing in Florida: 770/1631 = 0.47

8 0

4 years ago