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sasho [114]
3 years ago
12

Write the linear equation that gives the rule for this table.

Mathematics
1 answer:
Zinaida [17]3 years ago
3 0

Answer:

f(x) = -7x + 1

Step-by-step explanation:

Slope intercept form is

y = mx + b

m is slope

b is y-intercept

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

y decreases by 7 for each increase of 1 in x

slope = -7

to find "b" plug in one of the points and m = -7

using point (3, -20)

y = mx + b

-20 = -7(3) + b

-20 = -21 + b

b = 1

The equation is

f(x) = -7x + 1

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Choose the linear inequality that describes the graph. The gray area represents the shaded region.
jek_recluse [69]

Answer:

2x + 3y ≥ 5

Step-by-step explanation:

See the graph attached.

The bold straight line passes through the points (1,1) and (4,-1).

Therefore, the equation of the straight line will be  

\frac{y + 1}{- 1 - 1} = \frac{x - 4}{4 - 1}

⇒ 3(y + 1) = - 2(x - 4)

⇒ 3y + 3 = - 2x + 8

⇒ 2x + 3y = 5 ............. (1)

Now, the shaded region i.e. the solution to the inequality does not include the origin(0,0).

So, putting x = 0 and y = 0 in the equation (1) we get, 0 < 5

Therefore, the inequality equation is 2x + 3y ≥ 5 (Answer)

6 0
3 years ago
Please help i need an A
Basile [38]

Answer:

(1) 820

(2) 1920

Step-by-step explanation:

(1) solving 20 x 41, using associative property.

20 * 41  = (2 x 10) x 41  = 2 x (10 x 41)

             = 20 x 41         = 2 x 410

             = 820              =  820

(2) distribute 32 as 30 + 2 and solve.

     60 x 32

  = 60 x (30 + 2) = 60(30) + 60(2)

                        = 1800 + 120

                        = 1920

             

3 0
3 years ago
In the accompanying diagram, line BD bisects acute angle ABC and line AD is parallel to line BC. What kind of triangle must tria
galina1969 [7]

Answer:

  isosceles

Step-by-step explanation:

With AD║BC, ∠ADB ≅∠DBC. The angle bisection also ensures that ∠ABD≅∠DBC. Hence the two angles ABD and ADB must be congruent to each other.

A triangle with two congruent internal angles is an isosceles triangle.

6 0
3 years ago
tara is inviting 6 freinds to a party if each freind will get 5 cookies and each box has 12 cookies how many boxes does tara nee
bonufazy [111]

Answer:

3 boxes

Step-by-step explanation:

7 0
2 years ago
The slope formula can be used to prove a triangle has
aliya0001 [1]
The slope formula can be used to prove a triangle has
 <span>a right angle 
and slope formula also prove that lines are parallel
so i conclude option B is correct
hope it helps</span>
4 0
2 years ago
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