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2 years ago

Solve by graphing -3x + y = 4 y = -2x - 1

Mathematics

1 answer:

Dafna11 [192]2 years ago

6 0

Answer:

(-1,1)

Step-by-step explanation:

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When the square of a certain number is diminished by 9 times the number the result is 36?

ArbitrLikvidat [17]

X²-9x=36
minus 36 both sides
x²-9x-36=0
what 2 numbers multiply to -36 and add to -9
-12 and 3
(x-12)(x+3)=0
set to zero
x-12=0
x=12

x+3=0
x=-3

the number is either -3 or 12

3 0

3 years ago

Heather received a 32% discount on a $34 shirt. After the 7% sales tax was added, how much did she pay for the shirt.

Marat540 [252]

Answer:

$15.17

Step-by-step explanation:

divide 34 by 32 = 1.0625. and divide it by the 7%= $15.17

5 0

3 years ago

Read 2 more answers

Which is the graph of y= square root x - 5 - 1

professor190 [17]

Answer:

Graph D

Step-by-step explanation:

3 0

3 years ago

What is the solution to 5-2x^2=-15?

Phantasy [73]

Isolate x.

-2 $x^{2}$ =-20
$x^{2}$ =10
x= $\sqrt{10}$

6 0

3 years ago

The number of bacteria in a refrigerated food product is given by N ( T ) = 22 T 2 − 123 T + 40 , 6 < T < 36 , where T is

antoniya [11.8K]

Answer:

$N(T(t)) = 1408t^2 - 385.6t - 105.52$

Time for bacteria count reaching 8019: t = 2.543 hours

Step-by-step explanation:

To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:

$N(T(t)) = 22 * (8t + 1.7)^2 - 123 * (8t + 1.7) + 40$

$N(T(t)) = 22 * (64t^2 + 27.2t + 2.89) - 984t - 209.1 + 40$

$N(T(t)) = 1408t^2 + 598.4t + 63.58 - 984t - 169.1$

$N(T(t)) = 1408t^2 - 385.6t - 105.52$

Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:

$8019 = 1408t^2 - 385.6t - 105.52$

$1408t^2 - 385.6t - 8124.52 = 0$

Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.

4 0

3 years ago