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3 years ago

The product of a 3 and the sum of number and 5 is equal to 60

Mathematics

1 answer:

Sladkaya [172]3 years ago

3 0

Answer:

3n + 5 =60

Step-by-step explanation:

Answer : n=55/3

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Complete the square than convert to vertex form. y=2x^2+8x-9

8_murik_8 [283]

$y=2x^2+8x-9\\D=b^2-4ac\\D=64-4(2)(-9)\\D=64+72 > 0$

There are 2 roots so the only way to complete the square is,

$y=2x^2+8x-9\\y=2[(x^2+4x)]-9\\y=2[(x^2+4x+4)-4]-9\\y=2[(x+2)^2-4]-9\\y=2(x+2)^2-8-9\\y=2(x+2)^2-17$

Just factor 2 out of 2x^2+8x (just ignore the -9) then find the number that will make the terms be able to complete the square.

then complete the square and multiply 2 inside the brackets.

subtraction as you already get the vertex form and know how to complete the square.

Vertex Form: $y=2(x+2)^2-17$

3 0

3 years ago

Inductive Reasoning, help please :)

IgorLugansk [536]

Step-by-step explanation:

it may help you to understand

5 0

4 years ago

Which expression is equivalent to -8?

torisob [31]

2/8 I think....:| :|○~○

7 0

3 years ago

The number of dollars per month it costs you to own a car is a function of the number of kilometers per month you drive it. Base

klasskru [66]

Y=1.22x
y is the cost and x is kilometers driven. I got 1.22 by dividing 366 by 300 to find how it costs per kilometer.

7 0

3 years ago

PLZ SOLVE PIC ATTACHED BELOW

ludmilkaskok [199]

Answer:

$\tan(51°) = \frac{10}{x} \\x = \frac{10}{ \tan(51°) } \\ x = \frac{10}{1.235} \\ \boxed{ x = 8.1}$

<h3>★ Value of x is <u>8.1</u>.</h3>

$\sin(51°)= \frac{10}{H} \\ h = \frac{10}{ \sin(51°) } \\ H= \frac{10}{0.777} \\ \boxed{H= 12.8676}$

<h3>★ Value of H is <u>12.8676</u>.</h3>

Remember:

tan∅=Perpendicular/Base
sin∅=Perpendicular/Hypotenuse

4 0

3 years ago