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3 years ago

What is the slope of a line PARALLEL to the graph? A) -3 B) 0 C) 3 D) - 1/3

Mathematics

1 answer:

algol [13]3 years ago

8 0

Answer: C

Step-by-step explanation:

The given graph is a straight line graph.

Slope of a straight line graph is expressed as

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

From the graph,

y2 = 4

y1 = 1

x2 = 2

x1 = 1

Slope = (4 - 1)/(2-1) = 3/1 = 3

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line parallel to the graph is 3

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The price of a refrigerator at Best Buy is $4,299.00. Best Buy is offering a $900 instant discount. There is also a $100 instant

stiks02 [169]

Answer:

$Final\ Price = \$ 3299.00$

Step-by-step explanation:

Given

$Original\ Price =\$4299.00$

$Discount = \$900$

$Rebate = \$100$

Required

Determine the final price

If all discounts are taken, the final price is:

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This gives:

$Final\ Price = \$ 4299.00 - \$900 - \$100$

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3 years ago

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3 years ago

Write y = x2 + 24x + 144 as a square of binomial.

irina1246 [14]

Answer:

$y=(x+12)^2\\$

Step-by-step explanation:

To write a quadratic equation into binomial form we can compare the equation into the completing square form of a quadratic equation like this ,

$y=a(x-h)^2+k$

now since,

$y=x^2+24x+144$

we can equate both the equations from left hand side to right hand side like this,

$x^2+24x+144=a(x-h)^2+k\\$

now we solve,

$x^2+24x+144=a(x-h)^2+k\\x^2+24x+144=a((x)^2-2(x)(h)+(h)^2)+k\\x^2+24x+144=a(x^2-2hx+h^2)+k\\x^2+24x+144=ax^2-2ahx+ah^2+k\\$

now we compare the coefficients of x^2:

$1 = a\\$

now we compare the coefficients of x :

$24=-2ah\\24=-2(1)h\\24=-2h\\\frac{24}{-2}=h\\-12=h\\$

now we compare the constants , (constants are the letters which are not associated with any variable in this case the variable is x)

$144 = ah^2+k\\144=(1)(-12)^2+k\\144=(1)(144)+k\\144=144+k\\144-144=k\\0=k\\$

so now the value we got all the values for the completing square form we plug those in , a = 1 , h = -12 , k = 0 ,

$y=a(x-h)^2+k\\y=1(x-(-12))^2+0\\y=(x+12)^2\\$

this is the square of a binomial, if you want to verify if we expands this formula by the formula of (a + b)^2 we would get the same result. Thus this is the correct answer.

5 0

3 years ago

When she just turned 22, Rae purchased 145 shares of Stock A for $25 per share; 87 shares of Stock B for $38 per share; 46 share

Damm [24]

Answer:

170

Step-by-step explanation:

you have to divide

8 0

3 years ago

John's lunch at a restaurant costs $13.00, without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax.

Pani-rosa [81]

Answer:

$15.21

Step-by-step explanation:

17% of $13=0.17*13=2.21

13 (the price of the actual lunch) +2.21= 15.21

Alternatively, you can just do the operation:

13*(1+0.17)=15.21

This is because 1*13=the price of the actual lunch and 0.17*13=the price of the tip

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3 years ago