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3 years ago

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Graph each function and determine the y-intercept, then use the graph to determine the approximate value of the given expression

. y = 3^x, 3^1.2 a. 1; 3.7 c. 0; 3.9 b. 1; 2.9 d. 0; 3.5

1 answer:

Juliette [100K]3 years ago

7 0

Answer:

The right answer is A

Step-by-step explanation:

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Solve the equation, and check the solutions 2(√x+3)=6.

zhannawk [14.2K]

Answer:

x = 0

Step-by-step explanation:

$2(\sqrt{x}+3)=6$

Expanding the left hand side we get

$\Rightarrow 2\sqrt{x}+6=6$

Taking 6 from left hand side to right hand side

$\Rightarrow 2\sqrt{x}=6-6\\\Rightarrow 2\sqrt{x}=0$

Dividing both sides by 2

$\Rightarrow \sqrt{x}=\frac{0}{2}\\\Rightarrow \sqrt{x}=0\\\Rightarrow x=0$

So, x = 0

4 0

3 years ago

A patio 2 pairs of two parallel sides and 2 pairs of sides that are the same length there are 4 square corners what shape is the

Tems11 [23]

Answer:

The patio is a rectangle

Step-by-step explanation:

Since it is given that we have 2 pairs of two parallel sides, which implies 4 sides, this thus shows that the shape is a quadrilateral since, only quadrilaterals have 4 sides. Also, 2 pairs of sides are the same length, and are parallel, it shows that the shape is likely a rectangle.

Finally, there are 4 square corners on the shape which implies 4 right angles. This confirms that our shape is a rectangle since only a rectangle has 2 pairs of two parallel sides and 2 pairs of sides that are the same length there are 4 square corners.

So, the patio is a rectangle.

3 0

3 years ago

Area of rectangular figures

iren2701 [21]

Answer:

531 in^2

Step-by-step explanation:

21 x 18 = 378 in^2

17 x 9 = 153 in^2

378 + 153 = 531 in^2

3 0

3 years ago

A rock is thrown upward from a bridge that is 57 feet above a road. The rock reaches its maximum height above the road 0.76 seco

bekas [8.4K]

answer:

$f(t) = -9.9788169(t -0.76)^2 +57$

Step-by-step explanation:

On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).

now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is $f(x)= a(x-p)^2 +q$ , where (p,q) is the turning point. now we substitute the turning point

$f(t) = a(t-0.76)^2 + 57$ , now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.

0 = a(3.15 - 0.76)^2 + 57

-57 =a(2.39)^2

-57 = a(5.7121)

-57/5.7121 =a

-9.9788169 = a then we substitute a to get the quadratic equation therefore f is

$f(t) = -9.9788169(t-0.76)^2 +57$

4 0

3 years ago

What is the domain of f(x) = (x + 2)2 – 1?

larisa [96]

Simplify

$\\ \tt\Rrightarrow f(x)=(x+2)^2-1$

$\\ \tt\Rrightarrow f(x)=x^2+4x+2-1$

$\\ \tt\Rrightarrow f(x)=x^2+4x+1$

The Domain is set of all real numbers

$\\ \tt\Rrightarrow Domain\in R$

4 0

2 years ago