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3 years ago

What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)

Mathematics

2 answers:

lozanna [386]3 years ago

5 0

Answer: x=4

Step-by-step explanation:

1.5(x+4)-3=(x-2)

1.5x+6)-3=4.5x-9

1.5x+3=4.5x-9

+9 +9

1.5x+12=4.5x

divide 1.5x and 4.5

12=3x

/3 /3

x=4

Nezavi [6.7K]3 years ago

5 0

Answer: x = - 52

expand

5x+20−3=4.5x−9

then simplify

5x+17=4.5x−9

then subtract 4.5 from each sides

5x+17−4.5x=−9

Simplify

0.5x+17=−9

then subtract 17 from both sides

0.5x=−9−17

then simplify

0.5x=−2

then divide both side by 0.5

-26/0.5

so x = - 52

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Evaluate the permutation P(36,19)=____

kondaur [170]

Easy

nPr= $\frac{n!}{(n-r)!}$
here
36P19= $\frac{36!}{(36-19)!}=$
$\frac{36!}{(17)!}=$
$\frac{36*35*34*33*32*31*30*29*28*27*26*25*24*23*22*21*20*19*18}{1}=$
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6 0

4 years ago

Use the following information to answer all parts of question 3.3a: What is the area of the triangle? (Area of triangle = 1/2*b*

Anit [1.1K]

Answer:

See below ~

Step-by-step explanation:

3a : Area of the triangle

A = 1/2bh
A = 1/2 x 10 x 8
A = 5 x 8
A = 40 m²

3b : Area of the semicircle

Finding the radius (equal to 1/2 of the triangle hypotenuse)
Apply Pythagorean Theorem here
√8² + 10² = d
√64 + 100 = d
d = √164
d = 2√41
r = √41

A = πr²/2
A = 3.14 x (√41)² / 2
A = 1.57 x 41
A = 64.4 m² (nearest tenth)

5 0

2 years ago

Distribute 2 (9x^2 + 3).

beks73 [17]

Answer:

18x^2+6

Step-by-step explanation:

2(9x^2+3)

multiply each term in parentheses by 2

2 x 9x^2+2 x 3

calculate product

18x^2+2 x 3

multiply numbers

18x^2+6

5 0

3 years ago

Complete the formula, where P is the population and and is the number of years

julsineya [31]

An exponential growth model has the form:

$P=P_0(1+r)^n_{}$

we know that the initial population was 3000 and that after seven years the population was 3525, plugging this vales and solving for the unknown we have:

$\begin{gathered} 3525=3000(1+r)^7 \\ (1+r)^7=\frac{3525}{3000} \\ 1+r=\log _7(\frac{3525}{3000}) \\ 1+r=0.083 \end{gathered}$

Therefore the missing part of the function is 0.083

7 0

1 year ago

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

jonny [76]

Answer:

x = $36 , y = $ 838

Step-by-step explanation:

Solution:-

The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:

$y = -x^2 + 72x -458$

We are to determine the profit maximizing selling price ( x ) and the corresponding maximum profit ( y ).

From the properties of a parabola equation of the form:

$y = ax^2 + bx + c$

The vertex ( turning point ) or maximum/minimum point is given as:

$x = -\frac{b}{2a} \\\\x = -\frac{72}{-2} = 36$

The profit maximizing selling price of widgets would be x = $36. To determine the corresponding profit ( y ) we will plug in x = 36 in the given quadratic model as follows:

$y ( 36 ) = - ( 36 )^2 + 72 ( 36 ) - 458\\\\y ( 36 ) = -1296 + 2592 - 458\\\\y ( 36 ) = 838$

The maximum profit would be y = $838

4 0

3 years ago