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3 years ago

Help again on this problem! These are hard to understand!

Mathematics

2 answers:

ladessa [460]3 years ago

5 0

Each load will take 3 gallons. Therefore, we can express the amount of water that will be used for x loads using the equation w=3x, where w is how much water you use and x is equal to how many loads there are. We can set up the equation:
w=(3*4)+(3* $\frac{1}{9}$ )
From there, we can solve
w=12+(3* $\frac{1}{9}$ )
simplifies to
w=12+ $\frac{1}{3}$
w= 12 $\frac{1}{3}$

:)

mylen [45]3 years ago

3 0

3x4=12 gallons. 3x1/9= 3/10 of a gallon. 12+3/10= 12 3/10 gallons

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AfilCa [17]

Answer:

Therefore the value of x is

$x=1\pm\sqrt{19}i$

Step-by-step explanation:

Given:

$x^{2}+20=2x$ which is

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To Find:

x = ? using Quadratic Formula

Solution:

For a Quadratic Equation ax² + bx + c = 0 , Formula Method is given as

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On Comparing with above we get

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Substituting a , b , c in Formula method we get

$x=\dfrac{-(-2)\pm\sqrt{(-2)^{2}-4(1)(20)}}{2\times 1}\\\\x=\dfrac{2\pm\sqrt{-76}}{2}\\\\x=\dfrac{2\pm2\sqrt{19}i}{2}\\Dividing\ by\ 2\ we\ get\\\\x=1 \pm\sqrt{19}i$

Therefore the value of x is

$x=1\pm\sqrt{19}i$

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Number equal distance from zero but on different sides of zero

Kay [80]

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Alexeev081 [22]

Answer:

x-intercept: (-0.1, 0)
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(First answer option)

Step-by-step explanation:

<u>General form of an exponential function</u>

$y=ab^x+c$

where:

a is the initial value (y-intercept).
b is the base (growth/decay factor) in decimal form:
If b > 1 then it is an increasing function.
If 0 < b < 1 then it is a decreasing function.
y=c is the horizontal asymptote.
x is the independent variable.
y is the dependent variable.

Given <u>exponential function</u>:

$y=4(10)^x-3$

<h3><u>x-intercept</u></h3>

The x-intercept is the point at which the curve crosses the x-axis, so when y = 0. To find the x-intercept, substitute y = 0 into the given equation and solve for x:

$\begin{aligned}& \textsf{Set the function to zero}:& 4(10)^x-3 &=0\\\\& \textsf{Add 3 to both sides}:& 4(10)^x &=3\\\\& \textsf{Divide both sides by 4}:& 10^x &=\dfrac{3}{4}\\\\& \textsf{Take natural logs of both sides}:& \ln 10^x &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Apply the power log law}:&x \ln 10 &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Divide both sides by }\ln 10:&x&=\dfrac{\ln\left(\dfrac{3}{4}\right)}{\ln 10} \\\\& \textsf{Simplify}:&x&=-0.1\:\:\sf(1\:d.p.)\end{aligned}$