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serg [7]
3 years ago
7

Simplify -4(6x-7)-3(4+2x). What's the answer?

Mathematics
2 answers:
damaskus [11]3 years ago
8 0

Answer: The answer to the question is -30x + 16

algol133 years ago
5 0

Answer:

x = -16/-30 or x = .54

Step-by-step explanation:

-4(6x - 7) - 3(4 + 2x)

-24x + 28 - 12 - 6x

combine like terms

-30x + 16

subtract 16 from both sides

-30x = -16

divide by -30

x = -16/-30 0r x = .54

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What is the vertex form of the quadratic equation represented on the table?
sergeinik [125]

Check the picture below, so the parabola looks more or less like so, hmmm with a vertex at (-1 , -4), so, using those values from the table

~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}

\stackrel{vertex}{\stackrel{h}{-1}~~,~~\stackrel{k}{-4}}\qquad \implies y=a[x-(-1)]^2-4\implies y=a(x+1)^2-4 \\\\\\ \textit{we also know that} \begin{cases} x=2\\ y=14 \end{cases}\implies 14=a(2+1)^2-4\implies 18=9a \\\\\\ \cfrac{18}{9}=a\implies 2=a~\hspace{10em}\boxed{y=2(x+1)^2-4}

7 0
2 years ago
Okay so I need some help when it comes to math can anyone help me along with explaining What constant of proportionality is
Amanda [17]
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

You can just summarize this if you want.

Hope this helped!
4 0
3 years ago
A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes. Use set notations for the domain and ran
Mama L [17]

A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes

Domain x is number of hours

Range y is distance traveled

speed = 12 miles per hour

time = 45 minutes = \frac{45}{60} = 0.75 hours

We know distance formula

Distance = speed * time

Distance = 12 * 0.75= 9 miles

Number of hours x is 0 to 0.75 hours

So domain is { x | 0}

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5 0
3 years ago
What are the answers to these three questions? horrible at math. ty.
klemol [59]
3x^2 + 2x - 6 if x = -2

=3(-2)^2 + 2(-2) - 6
=12 - 4 - 6 
= 2


5x^2 + 6x - 2 if x = -2

=5(-2)^2 + 6(-2) - 2
=20 - 12 - 2
= 6

-2x^3 + 2x^2 if x = 2

= -2(2)^3 + 2(2)^2
= -16 + 8
= -8

5 0
4 years ago
When two-fifths of a number is increased by 15 the result is 27. What is the number?
user100 [1]

Answer:

x = 30

Step-by-step explanation:

Let's set up an equation to represent this problem:

2/5 * x + 15 = 27

subtracting 15 from both sides,

2/5 * x = 12

Multiplying 5/2 to both sides,

5/2 * 2/5 * x = 12 * 5/2

1*x = 30

x = 30

7 0
3 years ago
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