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2 years ago

The graphs above are of the lines y = -x+2 and y=x+1. The point of intersection of the linear equations is

Mathematics

1 answer:

liq [111]2 years ago

4 0

See below

$\\ \sf\Rrightarrow y=-x+2$

$\\ \sf\Rrightarrow y=x+1$

Now

$\\ \sf\Rrightarrow -x+2=x+1$

$\\ \sf\Rrightarrow -2x=-1$

$\\ \sf\Rrightarrow x=0.5$

Put in eq(2)

$\\ \sf\Rrightarrow y=0.5+1$

$\\ \sf\Rrightarrow y=1.5$

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Mila [183]

Answer:

Step-by-step explanation:

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2 years ago

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Find the diameter of a circle with an area of 6767 square centimeters.

scZoUnD [109]

Area=6767cm²

Diameter be d

Radius be r

πr²=6767
r²=6767/π
r²=2155
r=46.4cm

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2 years ago

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Element X is a radioactive isotope such that its mass decreases by 26% every day. If an experiment starts out with 810 grams of

ioda

Answer:

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Hourly rate of change:

Decreases 26% by day. A day has 24 hours. This means that $A(24) = (1-0.26)A(0) = 0.74A(0)$ ; We use this to find r.

$A(t) = A(0)(1-r)^t$

$0.74A(0) = A(0)(1-r)^{24}$

$(1-r)^{24} = 0.74$

$\sqrt[24]{(1-r)^{24}} = \sqrt[24]{0.74}$

$1 - r = (0.74)^{\frac{1}{24}}$

$1 - r = 0.9875$

$r = 1 - 0.9875 = 0.0125$

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

Starts out with 810 grams of Element X

This means that $A(0) = 810$

Element X is a radioactive isotope such that its mass decreases by 26% every day.

This means that we use, for this equation, r = 0.26.

The equation is:

$A(t) = A(0)(1-r)^t$

$A(t) = 810(1 - 0.26)^t$

$A(t) = 810(0.74)^t$

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

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3 years ago

Distribute (x-6)(x-7) a) x^2-13x-15 b) x^2-13x+42 c) x^2+x+42 d) x^2+x-15

Sidana [21]

Answer:

B. x² - 13x + 42

Step-by-step explanation:

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2 years ago

Norm's electric bill for December 2013 was $149.32. In 2014 the electric bill was $194.31. Next year Norm expects the bill to be

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A): 2013 = 149.32

Find difference of: 194.31

2014 = 194.31 149.32

= 44.99

2015 Total Will Be:

B):

149.32 + 25 = 174.32

(2013)

(B) (A)

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1 year ago