MATHEMATICS HIGH SCHOOL

What is the value of z so that -9 and 9 are both solution of x^2+z=103-22
3
22
184

Answers

Answer 1

Answer: 22 because -9 and 9 squared is 81 subtract that from 103

Answer 2

Answer:

Answer:

Step-by-step explanation:

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If f(x)=2(x)^2 + 5 square root (x-2), complete the following statement The domain for f(x) is all real numbers _____ than or equal to 2.

Answers

Answer:

Greater.

Step-by-step explanation:

The in the function , the square root term has to give a real number if is to be real. This can only happen if because if then will give a complex number and therefore will not be real.

Thus, the domain for f(x) is all real numbers greater than or equal to 2.

Answer:

The domain for f(x) is all real numbers greater than or equal to 2.

Step-by-step explanation:

Given function:

$f(x)=2x^2+5 √(x-2)$

The domain of a function is the set of all possibleinput values (x-values).

As the square root of a negative numbercannot be taken:

$\implies x-2\geq 0$

Therefore:

$\implies x-2+2\geq 0+2$

$\implies x\geq 2$

Therefore, the domain of the given function is greater than or equal to 2.

The sum of 2 positive numbers is 151 . The lesser number is 19 more than the square root of the greater number. What is the value of the greater number minus the lesser number? A. 19 B. 66 C. 85 D. 91 E. 121

Answers

Answer: E

Step-by-step explanation:

Darin wrote 1 1/3 as a sum of three fractions.None of the fractions had a denominator of 2.What fractions might Darin have used?

Answers

The fractions Darin might have used are 1/3, 2/3 and 1/3.

What are fractions?

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.

What could the fractions be?

The sum of the three fractions has to be 1 1/3. The possible fractions are 1/3, 2/3 and 1/3.

To learn more about fractions, please check: brainly.com/question/915789

Which expression represents the series 1+5+25+125+625?

Answers

it is a geometric sequence
an=a1(r)^(n-1)
a1=first term
r=common ratio
n=which term
first term is 1
common ratio is 5
an=1(5)^(n-1)

that is the equatin/formulf for the nth term

if you want a summation formula of the sequence to the nth term
Sn= $(a1(1-r^(n)))/(1-r)$
in this case
Sn= $(1(1-5^(n)))/(1-5)$ or
Sn= $(1-5^(n))/(-4)$
so in this case
up to 5th term

S5= $(1-5^(5))/(-4)$
S5= $(1-3125)/(-4)$
S5= $(-3124)/(-4)$
S5=781

anyway
$a_(n)=(5)^(n-1)$ is the nth term
and
Sn= $(1-5^(n))/(-4)$ is the summation up to the nth term

1(5)^0 + 1(5)^1 + 1(5)^2...

The expression representing the series would be

f(x) = 5^(x-1)

Simplify showing all steps:
$4i( (1)/(2)i)^2(-2i)^2$

Answers

we know that i=√-1
so we do pemdas
$(1)/(2) i$ = $( √(-1) )/(2)$
exponents
$( ( √(-1) )/(2) )^(2)= (( √(-1) )^(2))/(2^(2))$ = $(-1)/(4)$
then $(-2i)^(2)$ =-2 times -2 times i times i=4 times -1=-4
now we have

$4i( (-1)/(4) )(-4)$ = $( (-4i)/(4) )(-4)$ = $( -i)(-4)$ =4i=aprox 4√-1

the answer is 4i

Can you solve 2^x=e^(x+2)

Answers

Answer: Yes, I can.

Although you haven't asked for the solution, here it is anyway:

2^x = e^(x+2)

x ln(2) = x+2

x ln(2) - x = 2

x [ ln(2) - 1 ] = 2

x = 2 / [ ln(2) - 1 ]

x = 2 / -0.3069... = - 6.518... (rounded)

$2^x=e^(x+2)\n \n ln(2^x)=ln(e^(x+2))\n \n xln(2)=(x+2)ln(e)\n \n xln(2)=x+2\n \n (x+2)/(x)=ln(2)\n \n (x)/(x)+(2)/(x)=ln(2)\n \n 1+(2)/(x)=ln(2)\n \n (2)/(x)=ln(2)-1\n \n \boxed{x=(2)/(ln(2)-1)}$