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4 years ago

Dr. Johnson treated 1134 patients in 63 days.

Mathematics

2 answers:

Alchen [17]4 years ago

8 0

Answer:

D= 18

Step-by-step explanation:

She treated 18 people on the average because 1134 dived by 63 is exactly 18.

:) :)

shusha [124]4 years ago

4 0

1134 divided by 63 =18
So he treated about 18 patients each day
Hope that helps!

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Ms. Groves has trays of paints for students in her art class each tray ahe 5 colours one of the colours is purple what fraction

Tatiana [17]

The answer is 4/20 are purple out of 20 trays reduced to 1/5

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3 years ago

A parking lot in the shape of a trapezoid has an area of 12052.1 square meters. The length of one base is 82.4 meters, and the l

vagabundo [1.1K]

82.4+108.6=191 and 12052.1 divided by 191=63.1

So the answer is 63.1

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3 years ago

Is the absolute value of 2 = 2

9966 [12]

Yes the absolute value of 2 is 2!

3 0

3 years ago

Find the domain and range of f(x). Please explain your answer.<br> f(x) = √(x^2+5x+6)

timama [110]

Answer:

Domain:— [ x ≥ -2, x ≤ -3 ]

Range:— [ y ≥ 0 ]

Step-by-step explanation:

You may use graphing calculator to draw a graph and examine the graph’s domain and range. However, I’ll explain further about the graph of quadratic in a surd.

First, factor the quadratic expression in the surd:—

$\displaystyle \large{f(x)=\sqrt{(x+3)(x+2)}}$

We can find the x-intercepts by letting f(x) = 0.

I’ll be separating in two parts — one for finding x-intercept and one for finding y-intercept.

__________________________________________________________

Finding x-intercepts

Let f(x) = 0.

$\displaystyle \large{0=\sqrt{(x+3)(x+2)}}$

Solve for x, square both sides:—

$\displaystyle \large{0^2 = (\sqrt{(x+3)(x+2)})^2}\\\displaystyle \large{0=(x+3)(x+2)}$

Simply solve a quadratic equation:—

$\displaystyle \large{x=-3,-2}$

Therefore, x-intercepts are:—

$\displaystyle \large{\boxed{x=-3,-2}}$

__________________________________________________________

Finding y-intercept

Let x = 0.

$\displaystyle \large{f(x)=\sqrt{(0+3)(0+2)}}\\\displaystyle \large{f(x)=\sqrt{3 \cdot 2}}\\\displaystyle \large{f(x)=\sqrt{6}}$

Therefore, y-intercept is:—

$\displaystyle \large{\boxed{\sqrt{6}}}$

__________________________________________________________

However, I want you to focus on x-intercepts instead. We know that the square root only gives you a positive value. That means the range of function can only be y ≥ 0.

For domain, first, we have to know how or what the graph looks like. You can input the function in a graphing calculator as you’ll see that when x ≥ -2, the graph heads to the right while/when x ≤ -3, the graph heads to the left. This means that the lesser value of x-intercept gets left and more value get right.

See, between -3 < x < -2, there is no curve, point or anything between the interval. Therefore, -3 < x < -2 does not exist in function.

Hence, the domain is:—

x ≥ -2, x ≤ -3

4 0

2 years ago

Evaluate each expression using the value w=4, a=2, and h=5<br> Equation is:<br> 6w+2a

Drupady [299]

Answer:

6w + 2a = 28

Step-by-step explanation:

the expression given, 6w + 2a, contains no variable h, so it's best to just ignore that h = 5.

first, plug in the values for w and a. you can do this in whatever order you want, but i'll start with w for this example.

plug in 4 for w.

6w + 2a

6(4) + 2a

now plug in 2 for a.

6(4) + 2a

6(4) + 2(2)

after plugging in the values, your expression is 6(4) + 2(2).

all that's left is to simplify. again, this can be done in whatever order you prefer, but i'm going to start with 6(4).

6(4) + 2(2)

24 + 2(2)

continue simplifying by multiplying 2(2).

24 + 2(2)

24 + 4

now add 24 + 4.

24 + 4 = 28

so, when w = 4 and a = 2, 6w + 2a = 28.

you can check the answer by plugging those values for a and w back into the completed equation.

6w + 2a = 28

6(4) + 2(2) = 28

24 + 4 = 28

28 = 28

since both sides of the equation are equal, that means that your answer of 28 is correct! :)

i hope this helps! have a great day <3

5 0

3 years ago