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3 years ago

Which input value produces the same output value for

Mathematics

1 answer:

Natali5045456 [20]3 years ago

7 0

Answer:

x=1

Step-by-step explanation:

it is the point of intersection of both lines which (1,1)

for x=1 both produce same value i.e.,1

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Find a formula for the described function. an open rectangular box with volume 9 m3 has a square base. express the surface area

Maru [420]

Let

x--------> the length side of the square base

h--------> the height of the box

we know that

the volume of the box is equal to

$V=x^{2} *h\\ V=9\ m^{3}$

$x^{2} *h=9\\\\h=\frac{9}{x^{2} }$

the surface area of the box is equal to

$SA=area\ of\ the\ base+perimeter\ of\ base*height$ (remember that the box is open)

area of the base= $(x^{2})\ m^{2}$

Perimeter of the base= $(4*x)\ m$

height=(h) m

$h=\frac{9}{x^{2}}$

substitute

$SA=x^{2} +4*x*h\\ \\ \\ SA=x^{2} +4*x*\frac{9}{x^{2} } \\ \\ SA=x^{2} +\frac{36}{x}$

we know that

the value of x can not be negative and the denominator can not be zero

therefore

the answer is

the domain of SA is x> 0

the domain is the interval-------------> (0,∞)

6 0

2 years ago

X^2 +6x+30 in vertex form

Elina [12.6K]

Answer:

Step-by-step explanation:

Factoring x2-6x-30

The first term is, x2 its coefficient is 1 .

The middle term is, -6x its coefficient is -6 .

The last term, "the constant", is -30

Step-1 : Multiply the coefficient of the first term by the constant 1 • -30 = -30

Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is -6 .

-30 + 1 = -29

-15 + 2 = -13

-10 + 3 = -7

-6 + 5 = -1

-5 + 6 = 1

-3 + 10 = 7

-2 + 15 = 13

-1 + 30 = 29

7 0

2 years ago

Read 2 more answers

Can someone help me on this

barxatty [35]

A) as the exponent decreases by one, the number is divided by 5

B) as the exponent decreases by one, the number is divided by 4

C) as the exponent decreases by one, the number is divided by 3

D) 4⁰ = 4 ÷ 4 = 1

4⁻¹ = 1 ÷ 4 = $\frac{1}{4}$

4⁻² = $\frac{1}{4}$ ÷ 4 = $\frac{1}{16}$

E) 3⁰ = 3 ÷ 3 = 1

3⁻¹ = 1 ÷ 3 = $\frac{1}{3}$

3⁻² = $\frac{1}{3}$ ÷ 3 = $\frac{1}{9}$

5 0

2 years ago

For what value of c does the following system have no solution? 1/2x+1/5y=2 5x+2y=c

Minchanka [31]

Answer:

Step-by-step explanation:

$\frac{1}{2}x+\frac{1}{5}y = 2 \mid 5x + 2y = c$

First let's multiply the 1st equation by 10.

$5x + 2y = 20 \mid 5x + 2y = c$

So, we can see that the equations have the same coefficients and that implies they are equal.

So the equation has no solutions for. $c \in R \setminus{20}$

3 0

2 years ago

Read 2 more answers

Help meee I’ll give 10 pts and brainliest!!!

crimeas [40]

Step-by-step explanation:

i) $\overline{AB} = \sqrt{(x_A - x_B)^2 + (y_A - y_B)^2}$

$\:\:\:\:\:\:\:=\sqrt{(2)^2 + (12)^2} = 12.3$

ii) $m = \dfrac{y_A - y_B}{x_A - x_B} = \dfrac{-12}{2} = -6$

iii) $(\overline{x},\:\overline{y}) = \left(\dfrac{x_A + x_B}{2},\:\dfrac{y_A + y_B}{2}\right)$

$\:\:\:\:\:\:\:=(3,\:-2)$

7 0

3 years ago