The perimeter of a rectangle is 100 centimeters. The length is twice the width.

Which description is correct for the x-intercept(s) of Function A and Function B?

ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

Generally,

A straight line equation is given as

y = mx + c

Where,

m is the slope or gradient of the line

c is the intercept of y axis, when x = 0

Now,

Given the function A

g(x) = 0 7 0 2 -2

x = -2 3. 5 -1 0

So, we said the intercept c is when x = 0,

Therefore, in this case when x=0, g(x) = -2

Then, the intercept is -2 on y axis

Then, it has only one intercept, which is -2 on y-axis

To get the intercept on x axis, we will set y to zero,

In this case,

g(x) = 0, then, we have the intercept on x-axis to be -2 and 5

So it has 2-intercept on x axis, one positive and one negative

Given the function B

F(x) = |x| - 3

Comparing this to equation of a line, y= mx + c,

Then we notice that, the intercept is -3

Then, it has only one intercept which is -3 on y axis.

Now, to get the intercept on x axis, we will set f(x) = 0

F(x) = |x| - 3

0 = |x| - 3

Then, |x| = 3

Then, x = 3 or -x =3

Note that, |x| means x and -x

Then, x = 3 or x = -3

So it has also two intercept on the x axis, one positive and one negative.

Then, the third option is the correct option

Both functions have one negative and one positive x-intercept.

5 0

3 years ago

What is the common ratio of the geometric sequence below? –2, 4, –8, 16, –32, ...

SOVA2 [1]

Answer:

The common ratio of the geometric sequence is:

$r=-2$

Step-by-step explanation:

A geometric sequence has a constant ratio 'r' and is defined by

$a_n=a_1\cdot r^{n-1}$

where

aₙ is the nth term

a₁ is the first term

r is the common ratio

Given the sequence

$-2,\:4,-8,\:16,\:-32,\:...$

Compute the ratios of all the adjacent terms: $r=\frac{a_n+1}{a_n}$

$\frac{4}{-2}=-2,\:\quad \frac{-8}{4}=-2,\:\quad \frac{16}{-8}=-2,\:\quad \frac{-32}{16}=-2$

The ratio of all the adjacent terms is the same and equal to

$r=-2$

Therefore, the common ratio of the geometric sequence is:

$r=-2$

5 0

2 years ago

Estimate the measure of the angle below.

andrew11 [14]

Answer:

I would say B) approx. 35

Step-by-step explanation:

Because that is so close to 45 degrees which is closest to 35

6 0

3 years ago

Show work for this fraction 1 2/3-3/4

statuscvo [17]

$1\frac23-\frac34$

Write 1 2/3 as an improper fraction...
1 = 3/3. Plus the 2/3 makes 5/3.

$\frac53-\frac34$

To add/subtract fractions, they need the same denominator. (bottom number)

We can change the denominator by multiplying the top and bottom of a fraction by the same number. (it will stay equal, like 1/2 and 2/4)

Let's change 5/3 and 3/4 to a denominator of 12.

5/3 = 20/12 (bottom multiplies by 4, so does the top)
3/4 = 9/12 (bottom multiplies by 3, so does the top)

$\frac{20}{12}-\frac9{12}$

Now we just subtract the 20 minus 9 twelfths. (the twelfths act as a sort of unit)

$\boxed{\frac{11}{12}}$

4 0

3 years ago

Please help anyone 50 points to whom ever answers

lys-0071 [83]

Answer:

1: 80 (Vertical angles congruent)

2: 70 (Vertical angles congruent)

3:

4: 110 (Straight angle w/ angle 2, 180-70 {known variable})

5: 90 (Right angle)

6: 90 (Right angle)

7: 20 (180-90-70 (unmarked angle opposite 4)

9:

10:

7 0

3 years ago