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3 years ago

What is the vertex form of 4x^2+4x-12

Mathematics

2 answers:

Olin [163]3 years ago

5 0

Answer:

(-1/2, -13/4)

Step-by-step explanation:

Start with y = 4x^2+4x-12. Put this into the form y = a(x-h)^2 + k, where (h, k) represents the vertex.

Factor 4 out of this expression, obtaining: y = 4(x^2 + x - 3).

Next, complete the square of the quantity inside parentheses:

y = 4[ x^2 + x + 1/4 - 1/4 - 3 ], or

y = 4[ (x + 1/2)^2 - 13/4 ]

We can now conclude that the vertex is (-1/2, -13/4).

REY [17]3 years ago

3 0

Answer:

(-0.5, -13)

Step-by-step explanation:

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Rus_ich [418]

Answer:84

Step-by-step explanation:because 7x12=84

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3 years ago

Suppose you have $10,000 to invest. Which of the two rates would yield the larger amount in 4 years. 7% compounded quarterly or

GalinKa [24]

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$2)\ \ \ 6.94\%\ daily\\\\ \ \Rightarrow\ \ \frac{1}{365} \cdot6.94\% \approx0.019\%\ \ annually\ \ \Rightarrow\ \ p=0.019\\\\ daily\ \Rightarrow\ 365\ times\ annually\ \Rightarrow\ 1420\ times\ in\ 4\ years\ \Rightarrow\ n=1420\\\\Sum(6.94\%)=\$10,000\cdot(1+ \frac{0.019}{100})^{1420}=\\ \\.\ \ \ \ \ \ \ \ \ \ \ \ =\$10,000\cdot(1+0,00019)^{1420}\approx\$13096.69\\---------------------------\\\$13,199.29 > \$13,096.69\\\\Ans.\ the\ larger\ amount\ gives\ the\ compounded\ quarterly.$

5 0

3 years ago

Graph the line by plotting y=x+8

Zarrin [17]

The equation y = x + 8 uses the slope intercept form

Remember that the slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

In this case

y = 1x + 8

m = 1

y = x + 8

b = 8 OR y-intercept of this line is (0, 8)

You can plot the point (0, 8) on a graph. Then to find the next point you will rise up 1 and over right 1 (this is the slope). You can find another point after that by going down one and left one from the point (0, 8)

The graph should look like the one in the image below

Hope this helped! Let me know if you have any further questions

~Just a girl in love with Shawn Mendes

6 0

3 years ago

HELP ME PLLLLZ dis is PEMDAS

hram777 [196]

Answer:

Give Branliest PLz

Answer is 15

Step-by-step explanation:

Half of 40 is 20 cause 40/2=20

Five less than 20 is 20-5 which= 15

So ur answer is 15

6 0

3 years ago

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Which ordered pair would form a proportional relationship with the point graphed below?

jolli1 [7]

Answer:

(5, 20)

Step-by-step explanation:

We can find the slope of the line

m = (y2-y1)/(x2-x1)

= (40-0)/(10-0)

= 40/10

Since the line goes through (0,0) the y intercept is 0

y = mx+b

y = 4x

Lets check the points by substituting into the equation

40, 10) 10 = 4*40 10 =160 no

(–5, –10) -10 = 4*-5 10 = -20 no

(5, 20) 20 = 4*5 20 = 20 yes

(–10, –20) -20 = 4*-10 -20 = -40 no

4 0

3 years ago

Read 2 more answers