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2 years ago

Write an exponential function of the form y=ab^x whose graph passes through the given points.

1 answer:

8 0

$We\ substitude\ points\ into \ formula:\\ y= ab^{x}\\\{ {{4=ab^1} \atop {12=ab^2}} \right. |Substitude\ a= \frac{4}{b} \ from\ first \ equation\\12= \frac{4}{b}*b^2\\
12=4b|:4\\ 
b=3\\a= \frac{4}{3} \\
y=4^x$

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2 years ago

Terry deposits a principal amount of $500 in a savings account that earns an annual rate of a simple interest. if he makes no d

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1 year ago

Determine the equation of the line passing through the points <br> (4,-1) and (-2,-4)

jenyasd209 [6]

Answer:

y = 1/2x - 3

Step-by-step explanation:

the slope:

$m=\frac{-4-(-1)}{-2-4} =\frac{-4+1}{-6} =\frac{-3}{-6} =\frac{3}{6} =\frac{1}{2}$

the equation:

with the point (4, -1)

$y-(-1)=\frac{1}{2} (x-4)$

$y+1=\frac{1}{2}x-2$

$y=\frac{1}{2} x-2-1$

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2 years ago

Mr. Clark traveled 456.4 km in 14 days.

xeze [42]

$\qquad \qquad\huge \underline{\boxed{\sf Answer}}$

<h3><u>Distance travelled each day is</u> : </h3>

32.6 km

<h3><u>Explanation</u> : </h3>

Distance travelled in 14 days is : 456.4 km

And if he travels same Distance each day, so let the Distance travelled on each day be x

According to question ~

$\qquad \sf \dashrightarrow \: 14 \times x = 456.4$

$\qquad \sf \dashrightarrow \: x = 456.4 \div 14$

$\qquad \sf \dashrightarrow x = \: 32.6 \: \: km$

So, he travels 32.6 km per day

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1 year ago

The points (3,9) and (-3,-9) are plotted on the coordinate plane using the equation y= a•x. What is the value of a?

8_murik_8 [283]

A=3

The equation y=3x goes through both points

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2 years ago