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3 years ago

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The sum of two numbers is -4.5. Six less than twice the value of the first number is equal to the second number. Find the number

s.

1 answer:

elena-s [515]3 years ago

8 0

Answer:

first is 3.5, second is 1

Step-by-step explanation:

-4.5 = x + 2x - 6

-4.5 - 6 = 3x

10.5 = 3x

10.5/3 = x

3.5 = x

2(3.5) - 6

7 - 6

1

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A car travels for 4(t+3) hours at a constant speed of 10(t+3) km/h. If the total distance travelled by the car is 810 km, find t

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Step-by-step explanation:

$\because \: time \times speed = distance \\ \therefore \: 4(t + 3) \times 10(t + 3) = 810 \\ \therefore \: 4(t + 3)^{2} = 81 \\ \therefore \: \{2(t + 3) \}^{2} = {9}^{2} \\ \therefore \: \{2(t + 3) \} = {9} \\ \therefore \: t + 3 = \frac{9}{2} \\ \therefore \: t = \frac{9}{2} - 3 \\ \therefore \: t = \frac{9 - 6}{2} \\ \therefore \: t = \frac{3}{2} \\ \therefore \: t = 1.5 \: hrs \\$

$\because \: time \times speed = distance \\ \therefore \: 4(t + 3) \times 10(t + 3) = 810 \\ \therefore \: 4(t + 3)^{2} = 81 \\ \therefore \: \{2(t + 3) \}^{2} = {9}^{2} \\ \therefore \: \{2(t + 3) \} = {9} \\ \therefore \: t + 3 = \frac{9}{2} \\ \therefore \: t = \frac{9}{2} - 3 \\ \therefore \: t = \frac{9 - 6}{2} \\ \therefore \: t = \frac{3}{2} \\ \therefore \: t = 1.5 \: hrs \\ speed \: of \: car = 10(t + 3) \\ \hspace{60 pt} = 10(1.5 + 3) \\ \hspace{60 pt}= 10 \times 4.5 \\ \red{ \boxed{ \bold{ \therefore \: speed \: of \: car = 45 \:km/ h}}} \\$

3 0

3 years ago

ElenaW [278]

Answer:

-1 and -3

(n+7)(n-8)

Step-by-step explanation:

1. Find the Zeros

$f(x)=x^{2} +4x+3$

$f(x)=\left(x+1\right)\left(x+3\right)$

$x+1=0\\x=-1\\x+3=0\\x=-3$

2. Factoring Trinomials

$f(x)=n^{2} -n-56$

$f(x)=\left(n+7\right)\left(n-8\right)$

$n+7=0\\n=-7\\n-8=0\\n=8$

4 0

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