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2 years ago

Write the equation of the parabola in vertex form. vertex (2,4), point (3,-2) f(x)=

Mathematics

1 answer:

Maurinko [17]2 years ago

5 0

Answer:

f(x)=2x2−8x+4. Explanation: the equation of a parabola in vertex form is.

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Suppose you had d dollars in your bank account. You spent $6 but have at least $25 left. How much money did you have initially?

Eddi Din [679]

d-6≥25

d-6+6≥25+6

d≥31

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3 years ago

Daniel has a beginning balance of $675 in his checking account. He writes two checks for $530 and $200. He has a deposit of $340

GenaCL600 [577]

$675.00 - $530.00 = $145.00
$145.00 - $200.00 = $55.00 negative balance, amount short.
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$285.00 - $29.00 = $256.00 new balance
Daniel has a new balance of $256.00

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2 years ago

What is the mean of the data?

Law Incorporation [45]

Answer: B, 5.5

Step-by-step explanation:

4+4+4+5+5+6+6+6+6+9=55

55/10=5.5

5 0

2 years ago

Hurry please!

Kryger [21]

Answer:

We have the equation of the line as : 4x+2y=12

Step-by-step explanation:

Now 4x+2y=12

=> 2y = 12 - 4x

=> y = 6 - 2x

A line with a slope m and y-intercept c can be written as y = mx + c

In the case of y = -2x -...

3 0

2 years ago

Help!! BRAINLIEST TOO!

natulia [17]

Answer:

36.5 inches

Step-by-step explanation:

Given

See attachment for the given data

Required

Which length is closest to 4.2lb

The given data is a linear dataset.

So, we start by calculating the slope (m)

$m =\frac{y_2 - y_1}{x_2 - x_1}$

Pick any two corresponding points from the table

So, we have:

$(x_1,y_1) = (8,1.21)$

$(x_2,y_2) = (12,1.63)$

So:

$m =\frac{y_2 - y_1}{x_2 - x_1}$

$m =\frac{1.63 - 1.21}{12 - 8}$

$m =\frac{0.42}{4}$

$m =0.105$

The linear equation is then calculated using:

$y = m(x - x_1) + y_1$

This gives:

$y = 0.105 * (x - 8) + 1.21$

Open bracket

$y = 0.105x - 0.84 + 1.21$

$y = 0.105x + 0.37$

To get the length closest to 4.2lb,

we set $y = 4.2$

Then solve for x

So, we have:

$y = 0.105x + 0.37$

$4.2 = 0.105x + 0.37$

Collect like terms

$0.105x= 4.2 - 0.37$

$0.105x= 3.83$

Solve for x

$x= 3.83/0.105$

$x\approx 36.5$

4 0

2 years ago