Ask question

Ask question

All categories

erma4kov [3.2K]

3 years ago

6

Compare the decimals 18,011.1 and 18,111.01.

1 answer:

finlep [7]3 years ago

4 0

$18,011.1 = 18,011+\frac{1}{10}=18,011+\frac{10}{100} \\ 18,111.01 = 18,111+\frac{1}{100} = 18,011+100+\frac{1}{100}$

$18,111.01 \ \textgreater \ 18,011.1$ because $100+\frac{1}{100}\ \textgreater \ \frac{10}{100} \iff 100 \ \textgreater \ 1 \ \textgreater \ \frac{9}{100}$ .

You might be interested in

<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%7B2%7D%5E%7Bx%7D%20%20%20%2B%203" id="TexFormula1" title="f(x) = {2}^{x} +

lisov135 [29]

The function is given $f(x)=2^x+3$ .

Now let's solve for $f(-2)$ .

$f(-2)=2^{-2}+3$

Rule of negative exponent: $x^{-1}=\frac{1}{x^1}$ .

$f(-2)=\frac{1}{2^2}+3$

$f(-2)=\frac{1}{4}+\frac{3}{1}$

Rule for sum of fractions: $\frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}$ .

$f(-2)=\frac{13}{4}$

And the result is:

$f(-2)=\boxed{\frac{13}{4}=3.25}$

4 0

3 years ago

Find the values of P for which the quadratic equation 4x²+px+3=0?

klasskru [66]

<h3><u>Correct Questions :- </u></h3>

Find the values of P for which the quadratic equation 4x²+px+3=0 , provided that roots are equal or discriminant is zero .

<h3><u>Solution</u>:- </h3>

Let us Consider a quadratic equation αx² + βx + c = 0, then nature of roots of quadratic equation depends upon Discriminant (D) of the quadratic equation.

For equal roots

D = 0

$\quad\green{ \underline { \boxed{ \sf{Discriminant, D = β² - 4αc}}}}$

So,

$\sf{ β² - 4αc = 0}$

Here,

α = 4
β = p
c = 3

Now,

$\begin{gathered}\implies\quad \sf p²- 4 \times 4 \times 3 =0 \end{gathered}$

$\begin{gathered}\implies\quad \sf p²- 48 =0 \end{gathered}$

$\begin{gathered}\implies\quad \sf p²=48\end{gathered}$

$\begin{gathered}\implies\quad \sf p=±\sqrt{48}\end{gathered}$

$\begin{gathered}\implies\quad \sf p=±\sqrt{2 \times 2 \times 2 \times 2 \times 3} \end{gathered}$

$\begin{gathered}\implies\quad \sf p=± 2\times 2\sqrt{ 3 }\end{gathered}$

$\begin{gathered}\implies\quad \boxed{\sf{p=±4\sqrt{ 3 }}}\end{gathered}$

Thus, the values of P for which the quadratic equation 4x²+px+3=0 are-

4√3 and -4√3.

7 0

2 years ago

A circle is centered at the point (5, -4) and passes through the point (-3, 2).

harina [27]

Answer:

The answer to your question is:

(x - 5)² + (y + 4)² = 10² or (x - 5)² + (y + 4)² = 100

Step-by-step explanation:

Data

Center (5, - 4)

Point ( -3 , 2)

Formula

d = √ ((x2- x1)² + (y2 - y1)²)

(x - h)² + (y - k)² = r²

Process

Radius

d = √ ((-3 - 5)² + (2 + 4)²)

d = √ ((-8)² + (6)²)

d = √ 64 + 36

d = √100

d = 10 units

Circle

(x - 5)² + (y + 4)² = 10²

(x - 5)² + (y + 4)² = 100

8 0

3 years ago

1. Simplify the expression<br> 11x + 3x

Natali [406]

Answer:

14x

Step-by-step explanation:

Step 1: Collect like terms by adding their coefficients

(11+3)x

Step 2: Add the numbers

14x

4 0

3 years ago

Read 2 more answers

Is 20 a prime or composite number.

STALIN [3.7K]

Answer: It is a composite number since it has more factors than just itself and 1.

Step-by-step explanation:

1x20=20

2x10=20

4x5=20

6 0

3 years ago

Read 2 more answers