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3 years ago

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Write the equation in slope-intercept form and find the equation of a line through the given point (a) parallel and (b) perpendi

cular to the given line.
(2, 1) 4x - 2y = 3

1 answer:

Alex777 [14]3 years ago

8 0

Subtract 4x on both sides then divide by negative to all three numbers and your answer will be y = 1/2x - 3/2

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the price of one share of ABC company decreased a total of $45.75 in 5 days what was the acerage change of the price of one shar

yulyashka [42]

Just divide 40 divided by 5 and you should get $9.15

8 0

3 years ago

Read 2 more answers

The function y = x 2 - 10x + 31 has a ____

katrin [286]

Answer:

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

Step-by-step explanation:

In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.

Given function is:

$f(x) = x^2-10x+31$

Taking first derivative

$f'(x) = 2x-10$

Now the first derivative has to be put equal to zero to find the critical value

$2x-10 = 0\\2x = 10\\x = \frac{10}{2} = 5$

The function has only one critical value which is 5.

Taking 2nd derivative

$f''(x) =2$

$f''(5) = 2$

As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5

The value can be found out by putting x=5 in the function

$f(5) = (5)^2-10(5)+31\\=25-50+31\\=6$

Hence,

<u>The function y = x 2 - 10x + 31 has a minimum value of 6</u>

Hence,

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

8 0

3 years ago

How can this 12×2+2³ make 120

Alex17521 [72]

Step-by-step explanation:

$12\times(2+2^3)\qquad\text{use PEMDAS}\\\\\text{first power}\\\\=12\times(2+8)\\\\\text{next addition in parentheses}\\\\=12\times10=120$

8 0

3 years ago

Rebecca is making bracelets to sell at a charity event. Each bracelet takes 1 1/4 of a foot of embroidery floss to make.If Rebec

Ivan

Answer:

12

Step-by-step explanation:

She has 15 feet of floss. 15/1.25 is 12.

Hope this helps!!

4 0

3 years ago

Read 2 more answers

Nolan and his children went into a grocery store and he bought $8 worth of apples

goldfiish [28.3K]

Nolan and his children bought fruits (Apples and bananas) worth $8.

Cost of each apple and bananas are $2 and $0.40 respectively.

Let the number of bananas he bought = y

And the number of apples = x

Therefore, cost of the apples =$2x

And the cost of bananas = $0.40y

Total cost of 'x' apples and 'y' bananas = $(2x + 0.40y)

Equation representing the total cost of fruits will be,

(2x + 0.40y) = 8

10(2x + 0.40y) = 10(8)

20x + 4y = 80

5x + y = 20 --------(1)

If he bought 5 times as many bananas as apples,

y = 5x ------(2)

Substitute the value of y from equation (2) to equation (1),

5x + 5x = 20

10x = 20

x = 2

Substitute the value of 'x' in equation (2)

y = 5(2)

y = 10

Therefore, Nolan bought 2 apples and 10 bananas.

Learn more,

brainly.com/question/14951851

8 0

3 years ago