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IRINA_888 [86]
3 years ago
9

Solve for x, y=3x^2 -x+1​

Mathematics
1 answer:
galben [10]3 years ago
7 0
A: 5x-1=y
(=) x=(y+1)/5
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Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 20)(0,20) and (6, 1280)(6,1280).
Phoenix [80]

Answer:

y=20(2)^x

Step-by-step explanation:

We want to write an exponential function that goes through the points (0, 20) and (6, 1280).

The standard exponential function is given by:

y=ab^x

The point (0, 20) tells us that <em>y</em> = 20 when <em>x</em> = 0. Hence:

20=a(b)^0

Simplify:

20=a(1)\Rightarrow a=20

So, our exponential function is now:

y=20(b)^x

Next, the point (6, 1280) tells us that <em>y</em> = 1280 when <em>x</em> = 6. Thus:

1280=20(b)^6

Solve for <em>b</em>. Divide both sides by 20:

64=b^6

Therefore:

b=\sqrt[6]{64}=2

Hence, our function is:

y=20(2)^x

8 0
3 years ago
2x+3y=12 find four solutions​
solong [7]

Answer:

1. x=3,y=2

2.x=0,y=4

3.x=-3,y=6

4.x=6,y=0

Step-by-step explanation:

x=3, y=2

2(3)+3(2)=6+6=12

x=0, y=4

2(0)+3(4)=0+12=12

x=-3, y=6

2(-3)+3(6)=-6+18=12

x=6,y=0

2(6)+3(0)=12+0=12. Hope this helps!

5 0
3 years ago
What is 58,000,000,000 estimated as the product of a single digit and a power of 10?
brilliants [131]
The\ scientific\ notation:a\cdot10^n\ where\ 1\leq a \ \textless \  10\ and\ n\in\mathbb{Z}.\\\\5\underbrace{8,000,000,000}_{\leftarrow10}=5.8\cdot10^{10}\approx6\cdot10^{10}\to\fbox{D.}
5 0
3 years ago
Read 2 more answers
A sphere of radius 2x m has an area of ​​152.4 m2 and a volume of 360.9 m3. How much will the area and volume of another sphere
VladimirAG [237]

Answer:

V = 1218.0375m^{3}

A = 342.9m^{2}

Step-by-step explanation:

Area:

A = π r^{2}

152.4 = π (2x)^{2}       *Square 2x*

152.4 = π 4x^{2}          *Divide by π*

48.510 = 4x^{2}           *Divide by 4*

12.128 = x^{2}             *Square root*

\sqrt{12.128} = x           *Solve*

x ≈ 3.482

Now take the same equation but replace 2x with 3x

A = π r^{2}\\

Now replace x with 3.482 and solve for area.

A = 342.9m^{2\\}

Volume:

V = \frac{4}{3} π r^{3}               *Insert variables*

360.9 = \frac{4}{3} π (2x)^{3}     *Cube 2x*

360.9 = \frac{4}{3} π (8x^{3})     *Multiply \frac{3}{4} on both sides*

270.675 = π (8x^{3})    *Divide by π*

86.159 = 8x^{3}           *Divide by 8*

10.770 = x^{3}             *Cube root*

\sqrt[3]{10.770} = x            *Solve*

x ≈ 2.208

Now take the same equation but replace 2x with 3x

V = \frac{4}{3} π (3x)^{3}    

Now replace x with 2.208 and solve for volume.

V = 1218.0375m^{3}

4 0
3 years ago
On a cross-country vacation, Maria filled her 14-gallon gas tank eleven times. Which is the best estimate of how many gallons of
kobusy [5.1K]
14*11=154
Rounded would be 150

150 gallons
8 0
3 years ago
Read 2 more answers
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