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pickupchik [31]
3 years ago
13

Write a quadratic function for each graph described.

Mathematics
1 answer:
user100 [1]3 years ago
6 0

Answer:

y=2x^2-\frac{4}{3}x-\frac{10}{3}

Step-by-step explanation:

we know that

The roots of the quadratic function (x-intercepts) are

x=-1 and x=5/3

so

we can write the equation of the parabola as

y=a(x+1)(x-\frac{5}{3})

where

a is a coefficient

Remember that

The parabola pass through the point (5,40)

substitute the value of x and the value of y of the ordered pair in the quadratic equation and solve for a

x=5, y=40

40=a(5+1)(5-\frac{5}{3})

40=a(6)(\frac{10}{3})

40=20a\\a=2

substitute

y=2(x+1)(x-\frac{5}{3})

apply distributive property

y=2(x^2-\frac{5}{3}x+x-\frac{5}{3})\\\\y=2(x^2-\frac{2}{3}x-\frac{5}{3})\\\\y=2x^2-\frac{4}{3}x-\frac{10}{3}

see the attached figure to better understand the problem

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Neporo4naja [7]

Answer:

y=1/4x-2

Step-by-step explanation:

the first y axis number it touches is -2 and the slope is 1/4.

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2 years ago
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marishachu [46]

Answer:

80%

Step-by-step explanation:

Focus on the important parts of the problem:

The present salary is 25% more than the previous salary.

previous = % of present ?

<u>Use a mock/fake situation.</u> Let' say the previous salary is $100.

100 = % of present

Present salary is $100 increased by 25%.

$100 X 1.25 = $125

100 = % of 125

Solve this in decimal form (convert it to a percentage later).

Let x be the percentage in decimal form.

100 = 125x

100/125 = x    Isolate "x" by dividing by sides by 125

x = 0.80

Convert 0.80 to percentage by multiplying by 100.

0.80 X 100 = 80%

When comparing two things using percentage, 100% is the same. Less than 100% is less and more than 100% is more.

Since his previous salary was less than his present salary, this answer makes sense.

Therefore his previous salary was 80% of his present salary.

3 0
2 years ago
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Plz help!!
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Answer:

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Step-by-step explanation:

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How does writing 3.441 in expanded form show why the same digit can have different values?
Olegator [25]
<span>Answer:
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3.441

<span>Expanded forms can be written
like a sentence or stacked for
readability as they are here.</span>

Expanded Numbers Form:

<span><span> 3 </span><span>+ 0.4</span><span>+ 0.04</span><span>+ 0.001</span></span>
Expanded Factors Form:

<span><span> 3 ×1 </span><span>+4 × 0.1</span><span>+4 × 0.01</span><span>+1 × 0.001</span></span>
Expanded Exponential Form:

<span><span>3 × 100</span><span>+<span>4 × 10-1</span></span><span>+<span>4 × 10-2</span></span><span>+<span>1 × 10-3</span></span></span>
Word Form:

three and
four hundred forty-one thousandths

</span>
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3 years ago
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Dmitrij [34]
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