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d1i1m1o1n [39]
1 year ago
11

A part of linear function g is graphed on the grid.

Mathematics
1 answer:
shutvik [7]1 year ago
5 0

By looking at the graph, we can see that:

  • Domain: -7 ≤ x ≤ 6
  • Range: -4 ≤ y ≤ 5.

<h3>How to find the domain and range of a function?</h3>

For a function:

y = f(x)

We define the domain as the set of the possible inputs x, and the range as the set of the possible outputs y.

Here, to find the domain, we need to see the range of "horizontal values" that the graph takes. We can see that it goes from -7 to 6, then the domain is:

-7 ≤ x ≤ 6

The range goes from -4 to 5, so the range is: -4 ≤ y ≤ 5.

Then the correct option is the first one.

If you want to learn more about domain and range, you can read:

brainly.com/question/1770447

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find the area of the shaded regions. Give your answers as a completely simplified exact value in terms of pi. (no approximate)
Zigmanuir [339]

Answer:

Take out the area of the full circle first:

A= pi r^2

A= 3^2 x pi

A= 28.274 cm3

Area of smaller cirlces:

A= pi r^2

A= 1^2 x pi

A= 3.14159

Multiply by 2 as 2 circles: 6.28318

Substract unshaded from shaded: 28.274-6.28318

Area of shaded is 21.99082 cm3

Step-by-step explanation:

3 0
3 years ago
if j is 21 inches, k is 12 inches, and angle M measures 62 degrees, then find m using the Law is Cosines. round your answer to t
AURORKA [14]

Answer:

18.7

Step-by-step explanation:

The Law of Cosines is c^2=a^2+b^2-2ab cos(C), where c is the unknown side length of a triangle, a and b are the remaining two side lengths, and C is the angle opposite to side c. To answer this question just plug in the known values:

m^2=21^2+12^2-2(21)(12) cos(62)

Simplify:

m^2=441+144-504 cos(62)

m^2=585-504 cos(62)

m=\sqrt{585-504cos(62)}

m≈18.665...

When rounded to the nearest tenth, m=18.7

6 0
2 years ago
Three fourths a number plus 8 is 20 less than the number
VARVARA [1.3K]

Answer:

Equation:  \frac{3}{4}n+8=n-20

Solve for n:  n = 112

Step-by-step explanation:

To first set up the equation, you need to look at the verbal description and translate into numbers and operations:

'three fourths a number' =  \frac{3}{4} n

'plus 8' = + 8

'is' =

'20 less' = - 20

'the number' = n

Put the expressions together:

'three fourths a number plus 8':  \frac{3}{4}n+8

'20 less than the number': n - 20

Set them equal to each other and solve: \frac{3}{4}n+8=n-20

Add 20 to both sides: \frac{3}{4}n+8+20=n-20+20

Subtract \frac{3}{4}n from both sides: \frac{3}{4}n-\frac{3}{4}n+28=n-\frac{3}{4}n

Multiply both sides by \frac{4}{1}: \frac{4}{1}28=\frac{1}{4}n\frac{4}{1}

Solve for n:  n = 112

7 0
3 years ago
Given the quadriatic equation
vazorg [7]

Answer:

⇒  The given quadratic equation is x2−kx+9=0, comparing it with ax2+bx+c=0

∴  We get, a=1b=−k,c=9

⇒  It is given that roots are real and distinct.

∴  b2−4ac>0

⇒  (−k)2−4(1)(9)>0

⇒  k2−36>0

⇒  k2>36

⇒  k>6 or k<−6

∴  We can see values of k given in question are correct.

8 0
2 years ago
Is y – 4x = 9 a function?
Alex787 [66]
No i don’t think soooo

5 0
3 years ago
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