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Ad libitum [116K]
3 years ago
15

If the domain of the square root function f(x) is x less-than-or-equal-to 7, which statement must be true?

Mathematics
2 answers:
Scorpion4ik [409]3 years ago
8 0

this can also be explained as d on edg :)

Damm [24]3 years ago
3 0

Answer:

The x-term inside the radical has a negative coefficient.

Step-by-step explanation:

hope this helps

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My son is seven times older than my grandson and I am 12 times older than my grandson. If you add all our ages together, the sum
Andrej [43]
To solve this problem you first need to establish what it is you are looking for.. if you knew the grandson age then you could find your son and you.  So that is what we need to find and since we don't know it, we will call it x.

Grandson = x
Son = 7x
You = 12x

Then it says the sum of the 3 is 100.... x + 7x + 12x = 100 then solve and find that x = 5.  So to determine your age, just put 5 in for x and you get 60... dang your old ha
7 0
3 years ago
because the angles in a rectangle are 90 degrees it is not a parallelogram true or false? please explain why
ra1l [238]
<span>A parallelogram is a 4-sided shape where opposites sides are parallel. A rectangle is a special case of a parallelogram. All rectangles are parallelograms.

But a rectangle is a shape where opposites sides are parallel *and* all the corners are 90 degree angles. So you can't say that all parallelograms would be rectangles. Some parallelograms would be rectangles, but not all.

Rectangles are a subset of the shapes called parallelograms. But parallelograms are *not* a subset of the shapes called rectangles.

It's similar to saying all cars are vehicles. But you can't say that all vehicles are cars. </span>
6 0
3 years ago
Jill measures some scrap boards in her garage to
Alika [10]

Answer: Yes, Jill has enough scrap boards to create a border around her garden.

Step-by-step explanation:

2.75 + 3.2 + 1.65 + 2.6 = 10.2 m

7 0
3 years ago
Read 2 more answers
Given f(x)=x3 and g(x)= 1-5x2, fine (fog)(x) and it’s Domain
andre [41]

Answer:

Option B. f(g(x)) = (1-5x ^ 2) ^ 3  all real numbers

Step-by-step explanation:

We have

f(x) = x ^ 3 and g(x) = 1-5x ^ 2

They ask us to find

(fog)(x) and it's Domain

To solve this problem we must introduce the function g(x) within the function f(x)

That is, we must do f(g(x)).

So, we have:

f(x) = x ^ 3

g(x) = 1-5x ^ 2

Then:

f(g(x)) = (1-5x ^ 2) ^ 3

The domain of the function f(g(x)) is the range of the function g(x) = 1-5x ^ 2.

Since the domain and range of g(x) are all real numbers then the domain of f(g(x)) are all real numbers

Therefore the correct answer is the option b: f(g(x)) = (1-5x ^ 2) ^ 3

And his domain is all real.

5 0
3 years ago
Read 2 more answers
Martine’s town is building a volleyball court based on a scale drawing that is 40cm to 80cm and uses the scale 1cm:22.5cm write
never [62]

Answer:

y=22.5x

Step-by-step explanation:

we have that

The scale drawing is

\frac{1}{22.5}\frac{cm}{cm}

we know that

Using proportion find out the actual dimensions of the volleyball court

Let

x -----> drawing court lengths in cm

y ----> court lengths in cm

For x=40 cm

\frac{1}{22.5}\frac{cm}{cm}=\frac{40}{y}\frac{cm}{cm}\\\\y=40*22.5\\\\y=900\ cm

For x=80 cm

\frac{1}{22.5}\frac{cm}{cm}=\frac{80}{y}\frac{cm}{cm}\\\\y=80*22.5\\\\y=1,800\ cm

Find the equation for the proportional relation ship between drawing court lengths x in centimeters and court lengths in y centimeters

 A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

For x=40 cm, y=900

substitute

k=y/x -----> k=900/40=22.5

The equation is

y=22.5x

5 0
3 years ago
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