The point 3,4 lies on the graph of f(x)= sqrt(2x+a). Which ordered pair below lies on the graph of g(x)=1/2sqrt(2x+a)?a)3/2,2
b)5/2,3/2
c)3,2
d)27,8

Answers

Answer 1

Answer: $(3;\ 4);\ f(x)=√(2x+a)\n\n√(2\cdot6+a)=4\n√(12+a)=4\ \ \ /^2\n12+a=16\na=16-12\na=4\n\nf(x)=√(2x+4)$

$g(x)=(1)/(2)√(2x+4)\n\na)\ \left((3)/(2);\ 2\right)\nR=(1)/(2)\sqrt{2\cdot(3)/(2)+4}=(1)/(2)√(3+4)=(1)/(2)\sqrt7;\ L=2;\ L\neq R\n\nb)\ \left((5)/(2);\ (3)/(2)\right)\nR=(1)/(2)\sqrt{2\cdot(5)/(2)+4}=(1)/(2)√(5+4)=(1)/(2)\sqrt9=(1)/(2)\cdot3=(3)/(2);\ L=(3)/(2);\ L=R$

$c)\ (3;\ 2)\nR=(1)/(2)√(2\cdot3+4)=(1)/(2)√(6+4)=(1)/(2)√(10);\ L=2;\ L\neq R\n\nd)\ (27;\ 8)\nR=(1)/(2)√(2\cdot27+4)=(1)/(2)√(54+4)=(1)/(2)√(58);\ L=8;\ L\neq R\n\nAnswer:B$

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If 8 men can chop down 28 trees in one day, how many trees can 20 men chop down in
one day?

Answers

The number of trees that 20 men chop down in one day will be 70.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

If 8 men can chop down 28 trees in one day.

Let 'x' be the number of trees.

We know that the ratio of man and tree will remain constant. Then the equation is given as,

28 / 8 = 20 / x

Simplify the equation, then we have

8 / 28 = 20 / x

x = 20 (28 / 8)

x = 70

The number of trees that 20 men chop down in one day will be 70.

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28 / 8 = 3.5
20 x 3.5 = 70
20 men can chop down 70 trees

"The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has been changed somewhat. Which of the following could be the equation of F(x)?

Answers

G(x)=x²
The graph has moved to the right 4 units, therefore the new graph will be:
H(x)=(x-4)²

It has also move 4 units up, therefore the new graph will be:
F(x)=(x-4)²+4

Answer:
F(x)=(x-4)²+4

y = (x - 4)² + 4

or y = x² - 8x + 20

Further explanation

Transformation of a graph is changing the shape and location of a graph.

There are four types of transformation geometry: translation (or shifting), reflection, rotation, and dilation (or stretching).

In this case, the transformation is shifting horizontally or vertically.
Translation (or shifting): moving a graph on an analytic plane without changing its shape.
Vertical shift: moving a graph upwards or downwards without changing its shape.
Horizontal shift: moving a graph to the left or right downwards without changing its shape.

In general, given the graph of y = f(x) and v > 0, we obtain the graph of:

$\boxed{ \ y = f(x) + v \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ upward v units.
$\boxed{ \ y = f(x) - v \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ downward v units.

That's the vertical shift, now the horizontal one. Given the graph of y = f(x) and h > 0, we obtain the graph of:

$\boxed{ \ y = f(x + h) \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ to the left h units.
$\boxed{ \ y = f(x - h) \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ to the right h units.

Hence, the combination of vertical and horizontal shifts is as follows:

$\boxed{\boxed{ \ y = f(x \pm h) \pm v \ }}$

The plus or minus sign follows the direction of the shift, i.e., up-down or left-right

Given: $\boxed{ \ g(x) = x^2 \ becomes \ f(x) = ? \ }$

In the graph, notice the shifting of the vertex from (0, 0) to (4, 4).

From this, we can describe that from g(x) to f(x) there has been a shift to the right 4 units and upward 4 units.

Let us construct f(x) from g(x).

$\boxed{ \ g(x) = y = x^2 \ } \rightarrow \boxed{ \ f(x) = y = (x + h)^2 + v \ }$

We set h = -4 and v = +4 and we get the equation f(x) as

$\boxed{\boxed{ \ f(x) = (x - 4)^2 + 4 \ }}$

Let's expand it if we want to represent a standard form of a quadratic function, like this:

$\boxed{ \ f(x) = x^2 - 8x + 16 + 4 \ }$

$\boxed{\boxed{ \ f(x) = x^2 - 8x + 20 \ }}$

Conclusion

The graph of f(x) is drawn by the combination of shifting the graph of g(x) to the right 4 units and upward 4 units.

Learn more

Transformations that change the graph of (f)x to the graph of g(x) brainly.com/question/2415963
The similar problem brainly.com/question/1369568
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Keywords: transformations, the graph of f(x), resembles, g(x) = x², f(x) = (x - 4)² + 4, y = x² - 8x + 20, translation, shifting, right, upward, horizontal, vertical

Two different websites offer the same watch for sale. The watch costs $45 on both sites. The site, Watches for Less charges a shipping fee of 4% of the cost of the watch. The site, Tick Tock charges 2.5% of the cost of the watch for shipping. How much less will the total cost of the watch be if purchased from Tick Tock?Round your answer to the hundredths place.
Two different websites offer the same watch for sale. The watch costs $45 on both sites. The site, Watches for Less charges a shipping fee of 4% of the cost of the watch. The site, Tick Tock charges 2.5% of the cost of the watch for shipping. How much less will the total cost of the watch be if purchased from Tick Tock?

Round your answer to the hundredths place.

Answers

Answer:

$0.67

Step-by-step explanation:

Cost of Watch on both sites=$45

Watches for Less charges a shipping fee of 4% of the cost of the watch.

Therefore, total cost of the watch at Watches for Less

=$45+(4% of 45)=45+(0.04 X 45)

=45+1.8

=$46.8

Tick Tock charges 2.5% of the cost of the watch for shipping.

Therefore, total cost of the watch at Tick Tock

=$45+(2.5% of 45)=(45+0.025X45)

=45+1.13

=$46.13

Difference In Cost

Cost at Watches for Less-Cost at Tick Tock

=$46.8-46.13

=$0.67

The total cost of the watch will be $0.67 less if purchased from Tick Tock

Bret buys a dining table that costs $150 before tax. The sales tax is 8%. How much sales tax did he pay?

Answers

Bret paid $12 as sales tax.

What is a expression? What is a mathematical equation? What is Equation Modelling? What is denominator?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.

We have Bret buys a dining table that costs $150 before tax. The sales tax is 8%.

Assume that he paid $[x] as sales tax. Then, we can write -

[x] = 8% of 150

[x] = (8/100) x 150

[x] = 12

Therefore, Bret paid $12 as sales tax.

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Answer:

$12

Step-by-step explanation:

to find sales tax you multiply the cost by the percentage

you do 150 * 8%

thats also 150 * 0.08

150 * 0.08 is 12

so you pay $12 in tax

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Answers

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How many 2-inch segments are there in 12 ft.?
a. 6
b. 24
c. 72
d. 10

Answers

When we convert 12 feet to inches and then divide by the length of each segment (2 inches), we find that there are 72 two-inch segments in 12 feet.

To calculate how many 2-inch segments are there in 12 feet, we need to convert both measurements to the same unit before performing the division.

Step 1: Convert 12 feet to inches.

Since 1 foot is equal to 12 inches, to convert 12 feet to inches, we multiply by 12:

12 feet * 12 inches/foot = 144 inches

Step 2: Divide the total number of inches by the length of each segment (2 inches).

144 inches ÷ 2 inches/segment = 72 segments

Therefore, there are 72 two-inch segments in 12 feet.

In summary, when we convert 12 feet to inches and then divide by the length of each segment (2 inches), we find that there are 72 two-inch segments in 12 feet. This calculation involves converting units to ensure they are in the same measurement scale before performing the division.

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C. 72 Sorry hope it's not to late.

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