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erastova [34]
3 years ago
10

Find the solution b = 2/3 a + 1

Mathematics
1 answer:
siniylev [52]3 years ago
4 0

Answer:

2a/3 + 1

Step-by-step explanation:

Combine multiplied terms into a single fraction-

2/3 a + 1

2a/3 + 1

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Step-by-step explanation:

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3 years ago
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D. Decreases in Quadrant ||| , i’m pretty sure
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You originally draw a design for an art contest on a 4 in. x 5 in. card. The second phase of the contest requires the drawing to
Nutka1998 [239]
 as we know that <span>If the 4" side of the card was scaled up to 10.5
 then the scaling factor is 10.5/4 = 2.625. 
The 5 side would  be the length 5 x 2.625 = 13.125 which exceeds the maximum dimension of 11. 

Thus, it is the 5 side which is scaled up to 10.5 and the scaling factor is therefore 10.5/5 = 2.1. 
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3 years ago
F(x)=20-x^2+8x<br> what are the minimum and maximum points and the axis of symmetry?
-Dominant- [34]
Vertex aka max or min point is found by -b/2a in form
f(x)=ax^2+bx+c
f(x)=-1x^2+8x+20
vertex x value is -8/(2)(-1)=-8/-2=4
input back to find y value
f(4)=-(4^2)+8*4+20
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axis of symmetry is the x coordinate


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5 0
3 years ago
A liquid shake is being served in a cone shaped container with a base diameter of 8 centimeters and a height of 22 centimeters.
zhuklara [117]

Answer:

The container weighs approximately 28 g.

Step-by-step explanation:

In order to solve this problem we first need to calculate the volume of the container, since it's shaped like a cone we must use the following formula:

volume container = (pi*r²*h)/3

Applying the data from the problem:

r = d / 2 = 8/2 = 4 cm

volume container = [pi*(4)²*22]/3

volume container = (pi*16*22)/3

volume container = (352*pi)/3 = 368.6135 cm³

Since the density is 0.82 g/cm³, we can find the mass of the shake by using the following formula:

density = mass / volume

shake mass = density*volume = 0.82*368.6135 = 302.26307 g

Since the container plus shake weighs 330 grams, then the container alone weighs:

container = 330 -302.26307 = 27.73693 g

The container weighs approximately 28 g.

5 0
3 years ago
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