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3 years ago

Solve for x show all work

Mathematics

2 answers:

a_sh-v [17]3 years ago

8 0

Answer:

x=4

Step-by-step explanation:

we know the ratio of left to right is 2:1 because 6:3=2:1

the horizontal lines are parallel, so the other set of numbers follows the same proportions

$x^{2} +2x+11=2(x+13.5)\\x^{2} +2x+11=2x+27\\x^{2} +2x-2x=27-11\\x^{2} =16\\x=\sqrt{16} \\x=4$

Marina86 [1]3 years ago

7 0

Answer:

x = 6•3 == 18

18² = 324

324 + 2 + 11 = 337

Step-by-step explanation:

Order of Operations; PEMDAS

Parentheses

Exponents

Multiplication & Division (Left to Right) (ex: 10x2÷5) You would do whatever comes left for Multiplication or Division.

Addition & Subtraction (Left to Right) (ex: 10-2+5) You would do whatever comes left for Addition & Subtraction.

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HI. Can you help???

Maslowich

Answer:

The maximum rate of change is between second 15 and second 19.

Step-by-step explanation:

See the attached table.

The table shows the total distance a spider traveled after a light was turned on.

Now, the average rate of change between two consecutive times in the table is given by

= $\frac{\textrm {Total change in Distance in feet}}{\textrm {Total change in Time in seconds }}$

Therefore, between second 5 and second 11, the average rate of change = $\frac{7 - 4}{11 - 5} = 0.5$

Between second 11 and second 15, the average rate of change = $\frac{13 - 7}{15 - 11} = 1.5$

Between second 15 and second 19, the average rate of change = $\frac{20 - 13}{19 - 15} = 1.75$

Between second 19 and second 28, the average rate of change = $\frac{24 - 20}{28 - 19} = 0.44$

Therefore, the maximum rate of change is between second 15 and second 19. (Answer)

3 0

3 years ago

What is the factorization of the trinomial below? x3 - 10x2 + 24x

Lunna [17]

X3 - 10x2 + 24x
= x(x2 - 10x + 24) 
= x(x2 - 4x - 6x + 24) 
= x[ x(x - 4) - 6(x - 4) ] 
= x(x - 6)(x - 4)

8 0

3 years ago

Read 2 more answers

Ten times the sum of half a number and 6 is 8

vredina [299]

Ten (10) times (multiplication) the sum (addition) of half ( $\frac{1}{2}$ a number (n) and 6 is (=) 8.

10( $\frac{n}{2}$ + 6) = 8 Use the Distributive Property
5n + 60 = 8 Subtract 60 from both sides
5n = -52 Divide both sides by 5
n = -10 $\frac{2}{5}$

3 0

3 years ago

Find an exponential function with a horizontal asymptote y equals=2 whose graph contains the points (0,3) and (1,6).

Andrew [12]

$\bf y=a(b)^x\qquad \qquad (\stackrel{x}{0}~,~\stackrel{y}{3})\implies 3=a(b)^0\implies 3=a
\\\\\\
therefore\qquad y=3(b)^x\\\\
-------------------------------\\\\
(\stackrel{x}{1}~,~\stackrel{y}{6})\implies 6=3(b)^1\implies \cfrac{6}{3}=b^1\implies 2=b
\\\\\\
therefore\qquad y=3(2)^x$

now, exponential functions have a horizontal asymptote at the x-axis, namely when y = 0, however, if you just move this one with a vertical translation of 2, then the horizontal asymptote will be at 2 instead. y = 3(2)ˣ + 2

6 0

3 years ago

a copy of a document that was originallly 24 in by 36 in is now 8 in by 12 in. what scale was used for the reduction

Arte-miy333 [17]

Answer:

Each of the inches was reduced by 3 in.

Step-by-step explanation:

This is the answer because if you divide the 24 by 3 you will get 8 and the same thing occurs if you divide the 36 by 3 and you will get 12

7 0

2 years ago