Answer: (-2+√5), (-2-√5)
Step-by-step explanation:
<u>1.</u> Reference the formula: [(-b±(√b^2-4ac))/2a]
<u>2.</u> Plug in the values from the equation: [(-4±(√16+4))/2]
<u>3.</u> Simplify: [(-4±(√20))/2]
<u>4.</u> Simplify the root: [(-4±(2√5))/2]
<u>5.</u> Simplify the fraction: [-2±√5]
<u>6.</u> There's your answer: (-2+√5), (-2-√5)
Answer:
You have to finish the question lol
Step-by-step explanation:
The function that is a reflection of f(x) over the y-axis is h(x) = 2(0.35)^(-x)
<h3>How to determine the reflection?</h3>
The equation is given as:
f(x) = 2(0.35)^x
The reflection of a function over the y-axis is :
f'(x) = f(-x)
So, we have:
f(-x) = 2(0.35)^(-x)
From the list of options, we have
h(x) = 2(0.35)^(-x)
Hence, the function that is a reflection of f(x) over the y-axis is h(x) = 2(0.35)^(-x)
Read more about reflection at:
brainly.com/question/12040866
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Answer:To solve this problem you would have to write 276.5 over 7.9 and divide the numerator and denominator by 7.9 since you want miles per gallon (it should have a denominator of 1 after you divide). When you do this you will get 35, so the Henry family got 35 miles per gallon of gas on the trip.
Step-by-step explanation:
If y varies directly with x, means that they can be modeled by a linear equation, lets choose a line with 0 y intercept, that is:
y = mx + b
y = mx
where m is the slope of the line, now we plug in the data we have:
y = mx
20/3 = m(30)
solving for m:
m = (20/3)(1/30)
m = 20/90
m = 2/9
so the line equation, or function modeling the y and x relationship is:
y = (2/9)x