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algol [13]
3 years ago
9

The sum of two number is 209. If one number is 7 less than two times of the other, find the number

Mathematics
1 answer:
marusya05 [52]3 years ago
3 0

Answer:

<h2><em><u>hope </u></em><em><u>it </u></em><em><u>helps </u></em><em><u>you </u></em><em><u>see </u></em><em><u>the </u></em><em><u>attachment </u></em><em><u>for </u></em><em><u>further </u></em><em><u>information </u></em></h2>

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G.O has 3 orange picks for every 2 green. If there are 25 picks in all, how many picks are orange?
Tomtit [17]

There will be 15 orange pickles and 10 green picks

3 0
3 years ago
Enter the domain and range of the function g(x) = 9x2 − 5 as an inequality, using set notation and using interval notation. Comp
tia_tia [17]

The domain and the range of a function are the set of input and output values, the function can take.

  • <em>The domain and the range of </em>g(x) = 9x^2 - 2<em> is </em>(-\infty, \infty)<em>.</em>
  • <em>The parent function </em>f(x) =x^2<em> is vertically compressed by 9, then shifted down by 5 units to get </em>g(x) = 9x^2 - 2<em />

<em />

Given

g(x) = 9x^2 - 2

<u>Domain and range</u>

There is no restriction as to the input and the output of function g(x).

This means that the domain and the range are (-\infty, \infty)

(-\infty, \infty) is in interval notation

The corresponding set notation is: - \infty < x < \infty

<u />

<u>The parent function</u>

We have:

f(x) = x^2

First, the parent function is vertically compressed by a factor of 9.

The rule of this transformation is:

(x,y) \to (x,9y)

So, we have:

f'(x) = 9x^2

Next, the function is shifted down by 5 units.

So, we have:

g(x) = f'(x) - 5

g(x) = 9x^2 - 5

Read more about functions at:

brainly.com/question/21027387

4 0
2 years ago
Show whether or not y=x+3 is tangential to the curve y^2=x​
wolverine [178]

The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.

y² = x

Take the derivative of both sides with respect to x, assuming y = y(x) :

2y dy/dx = 1

dy/dx = 1/(2y)

Solve for y when dy/dx = 1 :

1 = 1/(2y)

2y = 1

y = 1/2

When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.

This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :

x = y²   ⇒   y = y² + 3   ⇒   y² - y + 3 = 0

has no real solution for y.

3 0
2 years ago
A meteorologist measures the angle of elevation of a weather balloon is 41 degrees. A radio signal from the balloon indicates th
I am Lyosha [343]
You can draw a diagram of the situation, representing it by a right triuangle.

In the right triangle the hypotenuse is the distance indicated by the radio signal, 1503 m, and the angle is 41°.

The opposed leg to 41° is the height of the ballon.

Then you can use the sine trigonometric function.

sine (41°) = opposed leg / hypotenuse = x / 1503 m => x = 1503m * sine(41°)

=> x = 986m.

Answer: 986m
4 0
3 years ago
Jayla had a bake sale to raise money. At the end of the day, she had 2 1/ 4 apple pie, 2/ 4 lemon pie, and 1 3 /4 cherry pie lef
irina1246 [14]

Answer:

4 2/4 or 4 1/2

Step-by-step explanation:

2 1/4+1 3/4

If you take 3/4 and add it to 1/4 you get 1 then you at 1+1+2=4 then you add the lemon ie which is 2/4, therefore, the answer is 4 2/4 or 4 1/2(simplified).

8 0
2 years ago
Read 2 more answers
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