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4 years ago

Solve with explanation please

Mathematics

1 answer:

Reil [10]4 years ago

7 0

Answer: $\boxed{\dfrac{2}{5}}$

f(3)

Put the value of x = 3 to the equation of the function

$f(x)=\dfrac{4}{5}x-2\\\\f(3)=\dfrac{4}{5}\cdot3-2=\dfrac{4\cdot3}{5}-2=\dfrac{12}{5}-\dfrac{10}{5}=\dfrac{12-10}{5}=\boxed{\dfrac{2}{5}}$

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The sides of △FGH are FG = 6 x+ 7, GH = 8x - 5, and FH = 10x - 11. If the perimeter of △FGH is 87, list the angles in order from

irga5000 [103]

Answer:

From largest to smallest: FG, FH, GH

Step-by-step explanation:

Given

$FG = 6x + 7$

$GH = 8x - 5$

$FH = 10x - 11$

$Perimeter = 87$

Required

Order the sides in descending order

First, we need to solve for x.

Perimeter of FGH is calculated as thus:

$Perimeter = FG + GH + FH$

Substitute values for FG, GH, FH and Perimeter

$87 = 6x + 7 + 8x - 5 + 10x - 11$

Collect Like Terms

$87 - 7 + 5 + 11= 6x + 8x + 10x$

$96= 24x$

Reorder

$24x = 96$

Divide through by 24

$x = 96/24$

$x = 4$

Substitute 4 for x in FG, GH and FH

$FG = 6x + 7$

$FG = 6 * 4 + 7$

$FG = 24 + 7$

$FG =31$

$GH = 8x - 5$

$GH = 8 * 4 - 5$

$GH = 32 - 5$

$GH = 27$

$FH = 10x - 11$

$FH = 10*4 - 11$

$FH = 40 - 11$

$FH = 29$

In order of arrangement in descending order, we have:

$FG =31$ $FH = 29$ $GH = 27$

4 0

3 years ago

Given j(x) = x + 5, what is the value of j(12)?

yarga [219]

Answer:

j(12) = 17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

j(x) = x + 5

j(12) is x = 12

Step 2: Evaluate

Substitute in x: j(12) = 12 + 5
Add: j(12) = 17

8 0

3 years ago

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4 years ago

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daser333 [38]

Answer:

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Step-by-step explanation:

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3 years ago

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frez [133]

Answer:

Step-by-step explanation:

multiply -3 and -2 = 6

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3 years ago