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daser333 [38]
3 years ago
15

5x2 – 2x + 5 = 0 Solve

Mathematics
1 answer:
Tems11 [23]3 years ago
5 0

Answer:

x =  \frac{15}{2}  = 7 \frac{1}{2}

Step-by-step explanation:

5 \times 2 - 2x + 5  = 0\\ 10 - 2x + 5 = 0 \\ 15 - 2x = 0 \\ 15 - 2x  - 15 = 0 - 15 \\  - 2x = 0 - 15 \\  - 2x =  - 15 \\ x = 15 \div 2 \\

\boxed{\green{\boxed{\bold{x =  \frac{15}{2}  = 7 \frac{1}{2} }}}}

┈➤ . . ⇢ ˗ˏˋ⌦ ..♡ˎˊ˗ ꒰✈꒱   

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┊✿꒷꒦ Thankyou

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★ . ꜝꜞ ᳝ ࣪ hope that helped!  ʬʬ

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Sarah has to travel 60 miles to see her friend. Her dad drives at 30 mph and her uncle drives at 40 mph. How much time does she
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1h30min

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3 years ago
The number of visitors to a certain Web site triples every month. The number of visitors is modeled by the expression 900 * 3^m​
kipiarov [429]

Answer:

900\times 3^m = 100

Step-by-step explanation:

The number of visitors is modeled by the expression 900\times 3^m

Where m is the number of months after the number of visitors was measured.

We need to evaluate the above expression for m = -2.

So,

900\times 3^m=900\times 3^{-2}\\\\=900\times \dfrac{1}{3^2}\\\\=900\times \dfrac{1}{9}\\\\=100

At m = -2, the value of the above expression is equal to 100.

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3 years ago
Find (g • f) ^(3) PLEASE HELLPP
spayn [35]
The first thing we are going to do to find (g°f)(3), is find (g°f)(x). To do that, we are going to evaluate g(x) at f(x):
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Now, we can evaluate (g°f) at 3:
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6 0
3 years ago
Melanie eats 1.5 pounds of cereal each week. Which model below best represents the number of pounds of cereal she eats in .5 wee
Katena32 [7]
For this case, the first thing we must do is define a variable.
 We have then:
 x: number of weeks
 y: amount of cereal that Melanie eats
 We now write the function that models the problem:
 y = 1.5x

 Then, for 5 weeks we have:
 y = 1.5 (5)

y = 7.5 pounds
 Answer:
 
A model that best represents the number of pounds of cereal she eats is:
 
y = 1.5x

 For 5 weeks we have:
 
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5 0
3 years ago
Given r(x) = 11/ (x - 42)
julsineya [31]

For a given function f(x) we define the domain restrictions as values of x that we can not use in our function. Also, for a function f(x) we define the inverse g(x) as a function such that:

g(f(x)) = x = f(g(x))

<u>The restriction is:</u>

x ≠ 4

<u>The inverse is:</u>

y = 4 + \sqrt{\frac{11}{x} }

Here our function is:

f(x) = \frac{11}{(x - 4)^2}

We know that we can not divide by zero, so the only restriction in this function will be the one that makes the denominator equal to zero.

(x - 4)^2 = 0

x - 4 = 0

x = 4

So the only value of x that we need to remove from the domain is x = 4.

To find the inverse we try with the general form:

g(x) = a + \sqrt{\frac{b}{x} }

Evaluating this in our function we get:

g(f(x)) = a + \sqrt{\frac{b}{f(x)} }  = a + \sqrt{\frac{b*(x - 4)^2}{11 }}\\\\g(f(x)) = a + \sqrt{\frac{b}{11 }}*(x - 4)

Remember that the thing above must be equal to x, so we get:

g(f(x)) = a + \sqrt{\frac{b}{11 }}*(x - 4) = x\\\\{\frac{b}{11 }} = 1\\{\frac{b}{11 }}*4 - a = 0

From the two above equations we find:

b = 11

a = 4

Thus the inverse equation is:

y = 4 + \sqrt{\frac{11}{x} }

If you want to learn more, you can read:

brainly.com/question/10300045

3 0
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