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Vika [28.1K]
3 years ago
12

The graph of a linear relationship is shown. Which equation best represents the relationship between x and y in the graph

Mathematics
1 answer:
Finger [1]3 years ago
8 0

Answer:

B.  y = -3/4x + 5/2

Step-by-step explanation:

Take two points from the graph, let's use (-2, 4) and (2, 1):

Find slope:

 m = (y₂ - y₁) / (x₂ - x₁)

     = (1 - 4) / (2 - (-2))

     = -3/4

Find y-intercept using slope above and anyone point:

y = mx + b

(1) = -3/4(2) + b

1 = -3/2 + b

b = 1 + 3/2

b = 5/2

Equation of line using m and b above:

y = mx + b

y = -3/4x + 5/2

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Solve the system of equations. y = 2x y = x 2 – 15
inn [45]

Answer:

D. (–3, –6) and (5, 10)

Step-by-step explanation:

The system has equations:

y=2x...(1)

and

y=x^2-15...(2)

Equate both equations;

x^2-15=2x

Rewrite in standard form:

x^2-2x-15=0

We factor to obtain:

(x+3)(x-5)=0

By the zero product principle;

(x+3)=0,(x-5)=0

\implies x=-3,x=5

When x=-3, y=2(-3)=-6

This yields the ordered pair (-3,-6).

When x=5, y=2(5)=10

This yields the ordered pair (5,10).

The correct choice is D.

8 0
3 years ago
Printing Brochures The trade show is less than three weeks away. Your manager wants to be sure you have plenty of color brochure
Mice21 [21]

Answer:

1. No extra fees unless we need out order sooner (2 weeks for an extra $50)

2 .orders of 1000 or more are 40 cents a piece orders of fewer thank 1000 are 60 cents a piece

3. The brochure will arrive in three weeks so we need to pay an extra $50 to get them before the show

Step-by-step explanation:

I’ve done this already but if you need me to explain lmk:)

5 0
3 years ago
Find the volume of a spere with radius of 7​
choli [55]

Formula for volume of sphere V = 4/3 (Pi) r^3, where Pi ~ 3.14 and r is the radius = 7.

Therefore V = 4/3 * 3.14 * 7^3

= 4/3 * 3.14 * 343

= 4/3 * 1077.02

= 1,436.02667 cubic units

6 0
3 years ago
Read 2 more answers
-4k + 2(5k − 6) = −3k – 48
nalin [4]

Answer:

k = -4

Step-by-step explanation:

-4k + 2(5k − 6) = −3k – 48

Distribute on the left side.

-4k + 10k - 12 = -3k - 48

Combine like terms on the left side.

6k - 12 = -3k - 48

Add 3k to both sides.

9k - 12 = -48

Add 12 to both sides.

9k = -36

Divide both sides by 9.

k = -4

5 0
3 years ago
Read 2 more answers
Chrissie thinks of a number. 30% of her number is 270. What is the number she is thinking of? Please help.
MrRissso [65]

Answer:

81

Step-by-step explanation:

hope it helps

3 0
2 years ago
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