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PilotLPTM [1.2K]
3 years ago
11

5(b + 6) = 18 A. 9.6 B. -2.4 C. 2.4 D. 3.6

Mathematics
2 answers:
Ratling [72]3 years ago
6 0
<span>5(b + 6) = 18
b + 6 = 3.6
b = -2.4

answer
</span><span>B. -2.4</span>
zhenek [66]3 years ago
5 0
The first step for solving this is to distribute 5 through the parenthesis.
5b + 30 = 18
Now move the constant to the right side of the equation and change its sign.
5b = 18 - 30
Calculate the difference between the two numbers on the right side of the equation.
5b = -12
Lastly,, you need to divide both sides of the equation by 5.
b = -\frac{12}{5}
You can convert this fraction into a decimal by dividing the top of the fraction by the bottom. When you do this you should get -2.4 which will make the correct answer to your question option B.
Let me know if you have any further questions
:)
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Answer:

<h2>SEE BELOW</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
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<h3>let's solve:</h3>

vertex:(h,k)

therefore

vertex:(-1,4)

axis of symmetry:x=h

therefore

axis of symmetry:x=-1

  • to find the quadratic equation we need to figure out the vertex form of quadratic equation and then simply it to standard form i.e ax²+bx+c=0

vertex form of quadratic equation:

  • y=a(x-h)²+k

therefore

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the graph crosses y-asix at (0,3) coordinates

so,

3=a(0+1)²+4

simplify parentheses:

3 = a(1 {)}^{2}  + 4

simplify exponent:

3 =  a + 4

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our vertex form of quadratic equation is

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let's simplify it to standard form

simplify square:

y =  - ( {x}^{2}  + 2x + 1)  + 4

simplify parentheses:

y =  -  {x}^{2}  - 2x - 1 + 4

simplify addition:

y =  -  {x}^{2}  - 2x + 3

therefore our answer is D)y=-x²-2x+3

the domain of the function

x\in \mathbb{R}

and the range of the function is

y\leqslant 4

zeroes of the function:

-  {x}^{2}  - 2x + 3 = 0

\sf divide \: both \: sides \: by \:  - 1

{x}^{2}  + 2x - 3 = 0

\implies \:  {x}^{2} +   3x  - x  +  3 = 0

factor out x and -1 respectively:

\sf \implies \: x(x + 3)   - 1(x  + 3 )= 0

group:

\implies \: (x - 1)(x + 3) = 0

therefore

\begin{cases} x_{1} = 1 \\  x_{2}  =  - 3\end{cases}

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Nesterboy [21]
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sweet-ann [11.9K]

The statement first, and the statement second are correct because the number of dimes is 34, and the number of quarters is 66

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

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x + y = 100

Let x = number of dimes

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After solving the above system of equations by substitution method.

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