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2 years ago

Simply the given expressions below.

Mathematics

2 answers:

Setler [38]2 years ago

8 0

Step-by-step explanation:

a) 4x + 8 - 2x + 7

= 2x +15

b) 2n × 5 × 2a

= 10n × 2a

= 20an

vivado [14]2 years ago

7 0

Answer:

a) 2x+15

B) n =(2-√44)/4=(1-√ 11 )/2= -1.158 or

n =(2+√44)/4=(1+√ 11 )/2= 2.158

Step-by-step explanation:

a.4x+8-2x+7

4x+15-2x

=2x+15

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G=h(t) + p(c) is an equation that represents the gross pay of a server: Gross pay = hourly wage (time worked) + percent tip (cos

rusak2 [61]

Answer:

$105.5 for 16 hours at $6.59 per hour

Step-by-step explanation:

form the equation given, G=h(t) + p(c)

where G=Gross pay,

h= hourly wage

t=time worked

p=percent tip

c=cost of customer meals

we determine the gross pay by first determining the independent variables

h=$4.25, t=16 hours,

$p=15%of c\\p=\frac{15}{100}*250 \\p=37.5$

if we substitute values, we arrive at

$G=h(t)+p(c)\\G=4.25(16)+37.5\G=68+37.5\\G=105.5$

to determine the per hour gross pay we have

105.5/16

hourly gross pay,G=$6.59

3 0

3 years ago

Consider the following function G(x) = 2 (x-3)<br><br><br> Find G(4) + G (5)

NNADVOKAT [17]

Answer: 6

Solution: 2(4-3) + 2(5-3) = 8-6+10-6=6

4 0

3 years ago

The equation of a parabola is y=x^2-10x+27. Write the equation in vertex form

azamat

Answer:

$\large \boxed{y = (x - 5)^{2} + 2 }$

Step-by-step explanation:

y = x² - 10x + 27

y = ax² + bx + c

This is the general form of the equation for a parabola.

We must convert it to the vertex form

y = (x - h)² + k, where (h,k) are the coordinates of the vertex.

We can do this by completing the square.

$\begin{array}{rcll}y & = & x^{2} - 10x + 27 & \\y - 27 & = & x^{2} - 10x & \text{Subtracted 27 from each side}\\y - 27&= & x^{2} - 10x + 25 - 25 & \text{Added and subtracted (b/2)}^{2}\\y - 27&= & (x - 5)^{2} - 25 & \text{Wrote the first three terms as the square of a binomial}\\y& = & \mathbf{(x - 5)^{2} + 2} & \text{Added 27 to each side}\\\end{array}\\\text{The vertex form of the parabola is $\large \boxed{\mathbf{y = (x - 5)^{2} + 2 }}$}$ The figure below shows that your parabola has its vertex at (5,2).