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Mama L [17]
3 years ago
9

How do I solve this question?

Mathematics
1 answer:
Montano1993 [528]3 years ago
4 0

Answer:

p = \frac{3}{2} , q = 9

Step-by-step explanation:

4x² + 12x ( factor out 4 from each term )

= 4(x² + 3x)

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² + 3x

= 4(x² + 2(\frac{3}{2} )x + \frac{9}{4} - \frac{9}{4} )

= 4(x + \frac{3}{2} )² - 4 × \frac{9}{4}

= 4(x + \frac{3}{2} )² - 9

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A car traveling at a certain speed will travel 76 feet per second. How many miles will the car travel in 3.1 hours if it maintai
liubo4ka [24]
Keeping in mind that, there are 5280 feet in 1 mile, and 60 minutes in an hour and 60 seconds in each minute, thus 60*60 seconds in an hour, or 3600 seconds.

\bf \cfrac{76~\underline{feet}}{\underline{sec}}\cdot \cfrac{mile}{5280~\underline{feet}}\cdot \cfrac{3600~\underline{sec}}{hr}\implies \cfrac{76\cdot 3600~mile}{5280~hr}
\\\\\\
\cfrac{570~mile}{11~hr}\approx 51.\overline{81}\frac{mile}{hr}\\\\
-------------------------------\\\\
\textit{how many miles does it do in 3.1hrs?}\quad \cfrac{570}{11}\cdot 3.1
6 0
3 years ago
Alesha is inviting 10 friends to a party, and each friend will get 5 cookies. How many cookies does Alesha need to get
Montano1993 [528]

Answer:

Step-by-step explanation:

10x5=50

5 0
3 years ago
Read 2 more answers
A^2+b^2=9 , a+b=? with the method ​
soldier1979 [14.2K]

Answer:

3

Step-by-step explanation:

a^2+b^2=9

(a+b)^2=9

finding the square root on both sides of the equation

a+b=3

5 0
3 years ago
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 16 min to 72 min​
telo118 [61]

Answer:

2/9

Step-by-step explanation:

16/72 is the same thing as 2/9, just simplified. If you make 16 to 72 in a fraction you get 16/72. You divide them with their GCF which is 8. 16 divided by 8 is 2 and 72 divided by 8 is 9. Therefore the answer is 2/9.

4 0
3 years ago
Rosa works in an office building with many floors. From her office, she goes down 2 floors for a meeting. Then, she goes up 7 fl
Korvikt [17]
Since Rosa ends up on the first floor, we'll set the equation equal to 1. We don't know Rosa's floor, so we'll set her floor as the unknown x. When she goes down, we'll subtract from her floor (x) and when she goes up, we'll add.

x= Rosa's floor
down 2= subtract 2
up 7= add 7
down 15= subtract 15
ends up on 1 so equation equals 1

x - 2 + 7 - 15= 1
combine like terms
x - 10= 1
add 10 to both sides
x= 11

ANSWER:
Rosa works on the 11th floor

Hope this helps! :)

8 0
3 years ago
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