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Leya [2.2K]
3 years ago
11

Graph the function y=2 sqrt x+4 and state the transformation from the parent graph y= sqrt x

Mathematics
1 answer:
Darya [45]3 years ago
8 0

Answer:

Step-by-step explanation:

Please use parentheses so that there's no question about what constitutes the argument of the sqrt function:

y=2 sqrt x+4 → y = 2√(x + 4)

This result is obtained from y = √x by:

1) translating the graph of y = √x 4 units to the LEFT, and

2) stretching the resulting graph vertically by a factor of 2.

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A line passes through (10,4) and (13,-11). Write the equation of the line in standard form.
AlexFokin [52]

\bf (\stackrel{x_1}{10}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{13}~,~\stackrel{y_2}{-11}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-11-4}{13-10}\implies \cfrac{-15}{3}\implies -5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=-5(x-10)


now

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

therefore,


\bf y-4=-5(x-10)\implies y-4=-5x+50\implies \blacktriangleright 5x+y=54 \blacktriangleleft

7 0
4 years ago
a five inch bamboo shoot doubles in height every three days. If the equation y=ab to the x power, where x represents the number
PtichkaEL [24]
This question was once asked before so I will put it here.

The correct answer for the question that is being presented above is this one: "x = 2; a = 5; b = 3" A 5 inch tall bamboo shoot doubles in height every 3 days. If the equation y=ab^x, where x is the number of doubling periods, represents the height of the bamboo shoot.

5 0
3 years ago
Help me please please please<br> 9/7 x 4/9
Mariulka [41]
The fraction form 4/7 and the decimal form is 0.571428
4 0
2 years ago
Read 2 more answers
HELP ME PLEASE!!
LUCKY_DIMON [66]

Using a system of equation, we have that:

a)

  • x, which is the cost of on-site service.
  • y, which is the cost of at-store service.
  • z, which is the cost of by-mail service.

b)

The system is:

x = 3y

z = y - 10

15x + 40y + 5z = 3100

c)

The cost of one on-site repair service is of $90.

Item a:

The variables are:

  • x, which is the cost of on-site service.
  • y, which is the cost of at-store service.
  • z, which is the cost of by-mail service.

Item b:

On-site service costs <u>3 times as much as at-store service</u>, thus:

x = 3y

By mail service costs <u>$10 less than at-store</u>  service, thus:

z = y - 10

Last week, the shop completed <u>15 services on-site, 40 services at-store, and 5 services by mail for total sales of $3100</u>, thus:

15x + 40y + 5z = 3100

The system is:

x = 3y

z = y - 10

15x + 40y + 5z = 3100

Item c:

  • The cost of one on-site repair service is x.
  • First, replacing the first two equations into the third, we find y, and then with it we find x.

15x + 40y + 5z = 3100

15(4y) + 40y + 5(y - 10) = 3100

60y + 40y + 5y = 3150

105y = 3150

y = \frac{3150}{105}

y = 30

Then

x = 3y = 3(30) = 90

The cost of one on-site repair service is of $90.

A similar problem is given at brainly.com/question/24823220

3 0
3 years ago
Zoro Manufacturing Company manufacturers wooden picture frames. Each piece of wood yields 15 frames. Each piece of wood costs $1
sesenic [268]
To determine the cost of manufacturing one picture frame, add all the known cost by the number of frames produced. With the basis of one hour of operation,

                                  Cost of wood per frame = $18.75 / 15 = $1.25

                           Cost of direct labor per frame = $ 13.50 / 65 = $ 0.21

Adding all up the costs, 

                                     total cost = $1.25 + $0.21 = $1.46

Therefore, manufacturing one picture frame costs approximately $1.46. 
6 0
3 years ago
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