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3 years ago

The sum of two numbers is 41. The smaller number is 5 less than the larger number. What are the numbers?

Mathematics

1 answer:

Citrus2011 [14]3 years ago

3 0

Answer:

Greater number is 24 and smaller number is 18.

Step-by-step explanation:

According to the question first case will be x+y=41 by solving it y=41-x and second case will be x=y-5 put the value of y in second case. The answer will come. (hope you will get it)

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F(x) = x<br> Horizontal stretch by a factor of 2<br> Shift left 3 units<br> . Shift up 5 units

WARRIOR [948]

Answer:

f(x) = 0.5(x + 3)^2 + 5.

Step-by-step explanation:

The horizontal stretch is given by multiplying by 1/2 or 0.5:

f(x) = 0.5x^2

Now a shift of 3 to the left gives f(x) = 0.5(x + 3)^2.

5 units up gives 0.5(x + 3)^2 + 5.

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4 years ago

I need help on math?

lisov135 [29]

Answer:

Step-by-step explanation:

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4 years ago

Lexi is making a scale drawing of a soccer field that is 120 yards long and 80 yards wide and the field is that see strong is 30

vekshin1

Answer:

45 cm

Step-by-step explanation:

l = Length of football field is 120 yards

w = Width of football field is 80 yards

The ratio of the sides is $\dfrac{l}{w}=\dfrac{120}{80}=\dfrac{3}{2}$

Now the width of the field is 30 cm = w'

$\dfrac{l'}{w'}=\dfrac{l}{w}\\\Rightarrow l'=\dfrac{l}{w}\times w'\\\Rightarrow l'=\dfrac{3}{2}\times 30\\\Rightarrow l'=45\ \text{cm}$

The length of the field in the drawing is 45 cm.

5 0

3 years ago

HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT

Blizzard [7]

Answer:

solutions at -1 and 11

Step-by-step explanation:

(-b ± √b²-4ac) / 2a

in this problem, a = 1, b = -10, c = -11

(10±√100-4(-1)(-11)) / 2(1) =

(10 + √144) / 2 = 22/2 = 11

(10 - √144) / 2 = -2 / 2 = -1

3 0

3 years ago

What are the domain and range of the function f(x)=-3(x-5)2 +4?

Xelga [282]

Answers:

Domain is $(-\infty, \infty)$

Range is $(-\infty, 4]$

============================================

Explanation:

We can replace x with any real number we want. We don't have any restrictions to worry about since there are no division by zero issues for instance. Also, there isn't any issues of things like taking the square root of a negative number.

Therefore, the domain is the set of all real numbers which translates to the interval notation of $(-\infty, \infty)$

This interval notation can be thought of as $-\infty < x < \infty$

----------------------------

The range on the other hand isn't the set of all real numbers. It might help to graph this parabola (see below). You should see that the highest point occurs at the vertex (5, 4). This then tells us that the largest y can get is y = 4.

In other words, y = 4 or y can be smaller than this.

In symbols, we would say the range is $y \le 4$ and that translates to the interval notation of $(-\infty, 4]$

The curved parenthesis always goes with either infinity. The square bracket says "include the endpoint 4 as part of the interval".

4 0

3 years ago