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3 years ago

What is x² + 7x - 30

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

6 0

Are you looking for the value of x?

We can complete the square/factor:

x^2+7x-30=0

(x+10)(x-3)=0

By the zero product property rule, we have two equations, x+10=0 and x-3=0.

So the zeroes of x are -10 and 3

Hope this helped. Comment below if this didn't make sense.

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Let F be the function given by f(x)= 2xe^x. Determine the interval(s) on which the graph is concave down.

Vika [28.1K]

Hello,

y=2xe^x
y'=2(e^x+xe^x)=2(x+1)e^x
y''=2(e^x+(x+1)e^x)=2(x+2)e^x

x |-infinite -2 0 +infinite
e^x | ++++++++++++++++++
x+2 |------------0 +++++++++++
y'' | -----------0 +++++++++++

y''<0 if x<-2
The interval on which the graph is concave down is (-infinite -2[

7 0

3 years ago

[ Let f ( x ) ] = [ 3 x 2 + 2 x ] , [ g ( x ) ] = [ 3 x + 9 ] , [ h ( x ) ] = [ 12 + x ] , [ What is f ( g ( 3 ) ) ? ] [ Let f (

Pachacha [2.7K]

Answer:

The value of f(g(3) = 1,008

Step-by-step explanation:

Step:-1

Given f(x) = $3 x ^ 2 + 2 x$

and g(x) = 3x+9

h(x) = 12+x

Given g(x) = 3x+9

put x =3

g(3) = 3(3)+9

g(3) = 18

Step :-(2)

f(g(3)) = f(18)

f(g(3) = 3(18)^2 +2(18) (since f(x) = $3 x ^ 2 + 2 x$ )

= 1,008

Final answer:-

The value of f(g(3) = 1,008

8 0

3 years ago

the ratio of 7th graders to 8th grader at a school dance is 3 to 2. there are 54 7th graders at a dance. how many 8th graders ar

Georgia [21]

I just want u to know that u are loved

6 0

3 years ago

Which equation has the same solutions as the equation given below?

Lapatulllka [165]

Answer:

Step-by-step explanation:

Also solved eveything

(x+9)^2=49

x^2+18x+81=49

x^2+18x+32=0

a=1, b=18 and c=32

x= (-18 +/- Sqrt (18^2-4×32))/2

x= (-18 +/- Sqrt (324-128))/2

x= (-18 +/- Sqrt (196))/2

x= (-18 +/- 14)/2

x= (-18 +14)/2 = -4/2 =-2

x= (-18 -14)/2 = -32/2 =-16

3 0

3 years ago

Read 2 more answers

The electrical charge on a metal plate is given

Katarina [22]

Answer:

after 10 seconds the charge is 1.624

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one.

The electrical charge on a metal plate is given by the function below, where t is the time in seconds. What is the charge after 10 seconds?

C (t) = 12 $e^{\frac{-t}{5} }$

My answer:

Given the information:

C (t) = 12 $e^{\frac{-t}{5} }$

when t =10 we have:

C (10) = 12 $e^{\frac{-10}{5} }$

<=> C (10) = 12 $e^{-2}$

<=> C (10) = 12 $\frac{1}{e^{2} }$

<=> C (10) = 12 * 0.1353

<=> C (10) = 1.624

Hence, after 10 seconds the charge is 1.624

8 0

3 years ago

What is x² + 7x - 30​

What is x² + 7x - 30