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tresset_1 [31]
3 years ago
10

This table shows a linear relationship. x: 6 12 18 24 30 y: 252 504 756 1008 1260 Based on the information in this table, which

equation can be used to model the relationship between x and y​
Mathematics
1 answer:
Anton [14]3 years ago
3 0

Answer:

The difference between value of y at x=11 is 385, the correct option is third.

Step-by-step explanation:

The difference between value of y at x=11 is 385, the correct option is third.

The equation of a line which passing through two points is given below,

The two points from the table are (3,240) and (4,320), the equation is,

Put x=11

Therefore according to the table the value of y is 880 at x=11.

The two points from the table are (2,90) and (4,180), the equation is,

Put x=11,

Therefore according to the table the value of y is 495 at x=11.

The difference between the values of y at x=11 is,

Therefore third option is correct.

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What's the equation for this?
liubo4ka [24]
Do you have like a picture or something ?
7 0
4 years ago
8. Kiki buys a new computer for x dollars. She gets a 5% employee discount. Which of the
grigory [225]

Answer:

a 0.05x = t

Step-by-step explanation:

5% = 0.05

0.05 * x = her discounted price

0.05x = t

8 0
3 years ago
To overcome an infection an anti-biotic is injected into David’s bloodstream. After the injection the anti-biotic in his body de
meriva

Answer:

4.45 ccs will remain after 5 hours.

Step-by-step explanation:

The anti-biotic in his body decreases at a rate proportional to the amount, Q(t), present at time t.

(dQ/dt) = - kQ ((Minus sign because it's a rate of reduction)

(dQ/dt) = -kQ

(dQ/Q) = -kdt

 ∫ (dQ/Q) = -k ∫ dt 

Solving the two sides as definite integrals by integrating the left hand side from Q₀ to Q and the Right hand side from 0 to t.

We obtain

In (Q/Q₀) = -kt

(Q/Q₀) = e⁻ᵏᵗ

Q(t) = Q₀ e⁻ᵏᵗ

the initial injection was 8 ccs and 5 ccs remain after 4 hours

Q₀ = 8 ccs,

At t = 4 hours, Q = 5 ccs

5 = 8 e⁻ᵏᵗ

e⁻ᵏᵗ = 0.625

-kt = In (0.625) = -0.47

-4k = 0.47

k = 0.1175 /hour

Q(t) = Q₀ e⁻⁰•¹¹⁷⁵ᵗ

At t = 5 hours, Q = ?

Q = 8 e⁻⁰•¹¹⁷⁵ᵗ

0.1175 × 5 = 0.5875

Q = 8 e(^-0.5875)

Q = 4.45 ccs

Hope this Helps!!!

8 0
3 years ago
PLEASE HELP ME WHOEVER HELPS I WILL MARK BRAINLEST :)
julsineya [31]

Remember the shortcut way for graphing quadratic equations

  • A quadratic function has graph as parabola
  • Hence on both sides of vertex the parabola is symmetric and axis of symmetry is vertex x values .
  • y on both sides for -x and +x is same

#1

  • y=2(x-3)²-1

Vertex

  • (h,k)=(3,-1)

As a is positive parabola facing upwards

Find y for same x distance from vertex

I took 3-1=2 and 3+1=4

  • f(2)=2(2-3)²-1=2(-1)²-1=2-1=1
  • f(4)=2(4-3)²-1=1

Now plot vertex and these two points (2,1) and (4,1) on graph then draw a parabola by freehand

#2

  • y=(x-2)(x+4)
  • y=x²+4x-2x-8
  • y=x²+2x-8

Convert to vertex form

  • y=x²+2x+1-9
  • y=(x+1)²-9

Vertex at (-1,-9)

Same take two equidistant x values

Let's take -1-1=-2 and -1+1 =0

  • f(-2)=(-2+1)²-9=1-9=-8
  • f(0)=(1)²-9=-8

Put (-1,-9),(-2,-8),(0,-8) on graph and draw a freehand parabola

#3.

Yes it can be verified by finding the coordinate theoretically on putting them on function then can be verified through putting them on graph whether they matches or not

8 0
2 years ago
HELPPPPPPPPP A cylinder has a radius of 24 m and a height of 9 m. What is the exact volume of the cylinder? Question 1 options:
7nadin3 [17]

Answer:

VOLUME =πR^2H

π x 24 x 24 x 9

5184π= 5184 x 22/7=16292.5714

your options are wrong!

5 0
4 years ago
Read 2 more answers
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