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MakcuM [25]
3 years ago
14

One number is 8 more than the other. When the larger is divided by the smaller, the quotient is 7/5

Mathematics
1 answer:
Wewaii [24]3 years ago
6 0

Answer:

<h3>          The numbers are 20 and 28</h3>

Step-by-step explanation:

x  - the other number  (the smaller one)

x+8  - 8 more than the other number (the larger number)

 

\dfrac{x+8}x=\dfrac75\\\\(x+8)\cdot5=x\cdot7\\\\5x+40=7x\\^{\quad-40\qquad-40}\\{}\quad5x = 7x-40\\^{\quad-7x\quad-7x}\\-2x=-40\\^{\div(-2)\quad\div(-2)}\\{}\ \ x=20\\\\x+8=28

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If f(x)=8-10x and g(x) =5x +4, what is the value of (fog)(-2)?
swat32

Answer:

  68

Step-by-step explanation:

Any function is evaluated by putting the argument value where the variable is, then doing the arithmetic. When the argument is another function value, that function value is evaluated first.

__

<h3>f∘g</h3>

The "o" in (fog) is a stand-in for the "ring operator" (∘) which is the operator used to signify a composition. A composition is evaluated right-to-left. That means (f∘g)(x) ≡ f(g(x)). The value of g(x) is found first, and is operated on by the function f.

Writing the composition in the form f(g(x)) lets you identify the layers of parentheses. As with any expression evaluation, the Order of Operations applies. It tells you to evaluate the expression in the innermost parentheses and work your way out.

<h3>g(-2)</h3>

To evaluate (f∘g)(-2) = f(g(-2)), we must first evaluate g(-2). That is ...

  g(x) = 5x +4

  g(-2) = 5(-2) +4 = -10 +4 = -6 . . . . . put -2 where x is, do the math

<h3>f(g(-2))</h3>

Now that we know g(-2) = -6, we know this expression is ...

  f(-6) = 8 -10(-6) = 8 +60 = 68 . . . . . substitute for x in 8-10x

Then the value we're looking for is ...

  (f∘g)(-2) = 68

8 0
1 year ago
On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 2), has a vertex at (negative 5, negative 6.5)
Nady [450]

Answer:

<h2>The top one</h2>

Step-by-step explanation:

<h2>Hope it helps</h2>
8 0
2 years ago
Assume m&lt;2 = 35°. Find the measure of all of the other
soldi70 [24.7K]

  1. m<1 = 145 | Supplementary
  2. m<3 = 35 | Vertical
  3. m<4 = 145 | Supplementary
  4. m<5 = 145 | (With Angle 4) If parallel then alternate interior angles congruent
  5. m<6 = 35 | (With Angle 5) Supplementary
  6. m<7 = 35 | (With Angle 6) Vertical
  7. m<8 = 145 | (With Angle 7) Supplementary

Hope it helps <3

(If it does, maybe brainliest :) Need one more for rank up)

6 0
3 years ago
Read 2 more answers
13 14<br> x<br> 7 11<br> What is 13/7 times 14/11 equal
Ostrovityanka [42]

Answer:

(2 × 7 × 13) / (7 × 11) =

((2 × 7 × 13) ÷ 7) / ((7 × 11) ÷ 7) =

(2 × 7 ÷ 7 × 13)/(7 ÷ 7 × 11) =

(2 × 1 × 13)/(1 × 11) =

(2 × 13)/11 =

26/11;

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
If the leg of a triangle is 48 and the hypotenuse is 60 what is the length of the other leg
AURORKA [14]

Answer:

The length of the other would be 36.

Step-by-step explanation:

a² + b² = c²

b² = c² - a²

b² = 60² - 48²

b² = 3600 - 2304

b² = 1296

√b² = √1296

b = 36

4 0
3 years ago
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