Find the x-intercept of the function f(x) = a^x + 1 - 1.

1 answer:

4 0

I am not certain of what you wrote for the function but will assume that is likely exponential function or quadratic function.

First, (quadratic function) To solve this, you must know the quadratic formula. The x-intercept is value(s) that has the output value(y) of 0.

If the vertex of the quadratic function of (0,0), there is only one x-intercept. The number and value of the x-intercept depends on the slope and vertical displacement.

Second, (exponential function) note that there is no x-intercept. For instance, if a is 2, is there such value y that 2^y is 0? The smallest exponential value that is an integer is 1. Even broadening the limit to rational numbers, no such exponential value can have the result of 0. Therefore, in the basic form of exponential function, there is no x-intercept.

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Find the length of the diagonal AD in the pentagon ABCDE shown in the coordinate plane.

Xelga [282]

Answer:

$\sqrt{73}$ units.

Therefore, Option C is correct.

Step-by-step explanation:

We have given a pentagon ABCDE

We need to calculate its length

That means we have to find the distance of AD

So, coordinates of A(1,6) and D(4,-2)

Using distance formula:

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Here, $x_1=1,y_1=6,x_2=4,y_2=-2$

On substituting the values we will get:

$\sqrt{(4-1)^2+(-2-6)^2}$

On simplification:

$\sqrt{3^2+(-8)^2}$

$\sqrt{9+64}$

$\sqrt{73}$ .

Hence, the length of AD is $\sqrt{73}$ units.

Therefore, Option C is correct.

6 0

3 years ago

A pizza contains 8 slices. Isabella and her friends want to order pizza. There is a total of six people eating. How many pizzas

Masteriza [31]

20 people are there. Each eat 4 slices of pizza.

Each pizza contains 8 slices.

By forming it as an equation,

20(4) = 8(x pizza)

No of pizzas to be ordered = 10

7 0

3 years ago

Read 2 more answers

Derek has a white cube and a red cube.

cluponka [151]

Answer:

1/72

Step-by-step explanation:

Probability of getting a 4 on white cube is:

P(W) · P(4) = 1/2 × 1/6 = 1/12

P(R) · P(>4) = 1/2 × 2/6 = 1/6

multiply both probabilities: 1/12 × 1/6 = 1/72