All categories

3 years ago

Pls help (kinda easy)

Mathematics

2 answers:

iren [92.7K]3 years ago

7 0

Answer:

Step-by-step explanation:

3241004551 [841]3 years ago

5 0

Answer:

$f(x)=(2x+1)(2x-1)$ .

Step-by-step explanation:

We want to convert the function into the form that let's us easily find the x-intercept, and it would be for the form $(ax+b)(cx+d)$ because then we can find the x-intercept in the following manner:

$(ax+b)(cx+d)=0$

$x=-b/a$

$x=-d/c$

We factor our function $f(x)=4x^2-1$ and get

$\boxed{f(x)=(2x+1)(2x-1)}$

Now this form let's us easily find the x-intercepts:

$x=-1/2$

$x=1/2$

and so we pick the second choice: f(x)=(2x+1)(2x-1).

You might be interested in

What is ✓ 75 in simplified form?<br> O 5V5<br> 0 2573<br> O 3V 5<br> O 3V 25

faust18 [17]

It should be 5√3

Because 25 x 3 = 75

√25=5 so u bring that out and keep the 3 in because it’s a prime number

3 0

3 years ago

The circumference of the equator of a sphere was measured to be 82 82 cm with a possible error of 0.5 0.5 cm. Use linear approxi

True [87]

Answer:

The maximum error in the calculated surface area is approximately 8.3083 square centimeters.

Step-by-step explanation:

The circumference ( $s$ ), in centimeters, and the surface area ( $A_{s}$ ), in square centimeters, of a sphere are represented by following formulas:

$A_{s} = 4\pi\cdot r^{2}$ (1)

$s = 2\pi\cdot r$ (2)

Where $r$ is the radius of the sphere, in centimeters.

By applying (2) in (1), we derive this expression:

$A_{s} = 4\pi\cdot \left(\frac{s}{2\pi} \right)^{2}$

$A_{s} = \frac{s^{2}}{\pi^{2}}$ (3)

By definition of Total Differential, which is equivalent to definition of Linear Approximation in this case, we determine an expression for the maximum error in the calculated surface area ( $\Delta A_{s}$ ), in square centimeters: