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ziro4ka [17]
3 years ago
13

a student reads at a rate of 16 pages per day which ordered pair would be on a graph of its relationship

Mathematics
1 answer:
mojhsa [17]3 years ago
8 0
I found the choices that should have been included in this problem.
a) (1.5,26)
b) (2.25,30)
c) (5.5,88)
d) (7.25,110)

y = 16x
choice a. y = 16(1.5) = 24
choice b. y = 16(2.25) = 36
choice c. y = 16(5.5) = 88
choice d. y = 16(7.25) = 116

The correct answer is choice c. (5.5, 88)
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Write the equation of the parabola that has the vertex at point (− 1/2 ,2.3) and passes through the point (5,2 3/4 ).
Alex73 [517]

Answer:

The equation of parabola in vertex form is y=0.015(x+0.5)^2+2.3

Step-by-step explanation:

Given coordinate of vertex is (-\frac{1}{2},2.3) and the parabola passes through the point (5,2\frac{3}{4})

So, the equation of parabola in vertex form is

y=a(x-h)^2+k

Where (h,k) is the coordinate of the vertex.

(h,k)=(-\frac{1}{2},2.3)=(-0.5,2.3).\\\\So,\ h=-0.5\ and\ k=2.3

Plugging these value in equation we get,

y=a(x-(-0.5))^2+2.3\\\\y=a(x+0.5)^2+2.3

Now, we will find the value of a

Plug the coordinate (5,2\frac{3}{4})

(x,y)= (5,2\frac{3}{4})\\\\(x,y)=(5,\frac{11}{4})\\\\(x,y)=(5,2.75)

2.75=a(5-(-0.5))^2+2.3\\\\2.75=a(5+(0.5))^2+2.3\\\\2.75=a(5.5)^2+2.3\\\\2.75=a\times30.25+2.3\\\\2.75-2.3=a\times30.25\\\\0.45=a\times30.25\\\\\frac{0.45}{30.25}=a\\ \\a=0.0149

Plug the value of a in the equation y=a(x+0.5)^2+2.3

So, the equation of parabola with vertex (-\frac{1}{2},2.3) and passes through the point (5,2\frac{3}{4}) is

y=0.0149(x+0.5)^2+2.3 ≅y=0.015(x+0.5)^2+2.3

5 0
3 years ago
Does Someone Know The Answer To This ?
Montano1993 [528]

I feel like the answer is D, because x is greater than 397.9 and less than 402.1.

7 0
3 years ago
How to combine like terms
Mnenie [13.5K]
1) 4x + 12x² + 9 + 3y + 2x + 11y
6x + 12x² + 14y + 9

2) x² + 2y + 15x² + 4x + 21
4x + 16x² + 2y + 21

3) 8x + 12 + 17y + 3x + y + 8
11x + 18y + 20

Hope this helps :)
8 0
3 years ago
Read 2 more answers
A cake is cut into 8 slices. If i give 3 slices away,what fraction of cake is left
Georgia [21]

Answer: 5/8


Step-by-step explanation: Its cut into 8 slices and you give 3 away so you do 8-3=5 and that means it would be 5/8.


3 0
3 years ago
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A painter spends 3 hours working on a painting. A sculptor spends 2 and 2/3 times as long working on a sculpture. How long does
Anon25 [30]

Answer:

8 hours

Step-by-step explanation:

7 0
3 years ago
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