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3 years ago

Suppose the leftmost digits of two numbers are 8 and 3. Can you tell which number is greater if so explain.

1 answer:

7 0

You cannot tell which number is greater just by the leftmost digits. This is because you do not know how many digits each number has. Ex: 80 and 3,000

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Write down the equation of a line parallel to y = 3x + 2

vichka [17]

Answer:

y= 3x - 15

Step-by-step explanation:

parallel lines have the same slope, but different y intercepts

8 0

3 years ago

If the roots of a quadratic equation are 1±√5, then the product of the roots is

Drupady [299]

The plus-minus sign represents that there are two possible outcomes.

In this case, we have $1 \pm \sqrt{5}$ . When we branch out the possibilities we got 2 values: $1 + \sqrt{5}$ and $1 - \sqrt{5}$

Those are the roots of this equation. When they ask their product, they want you to multiply both numbers.

When we multiply them: $(1 + \sqrt{5}) \times( 1 - \sqrt{5})$

When we FOIL the we get: $1 \times 1 - 1 \times \sqrt{5} + 1 \times \sqrt{5} - \sqrt{5} \times \sqrt{5}$

Simplify:
$1 - \sqrt{5} + \sqrt{5} - 5$
$1 - 5 = 6$

So the product of the two roots of this equation is 6.

5 0

3 years ago

Read 2 more answers

Does 22 7, -3, 217, 16 5, or -4.5 come first when the numbers are listed from least to greatest? Explain. Answer ASAP

kvasek [131]

-4.5 will come first

3 0

3 years ago

Find the area of the shaded region.f(x)=4x+3x2−x3,g(x)=0<br> The area is _____.

Tasya [4]

Answer:

The answer is " $\bold{\frac{7}{2}}$ "

Step-by-step explanation:

Given value:

$\to f(x)=4x+3x^2-x^3\\\\\to g(x)=0$

Find:

area=?

calculation:

$\ Area = \int_{-1}^{0} -(4x+3x^2-x^3) dx + \int_{0}^{1} (4x+3x^2-x^3) dx \\\\$

$= -(2x^2+x^3- \frac{x^4}{4})_{-1}^{0} + (2x^2+x^3- \frac{x^4}{4})_{0}^{1}\\\\\\= -( 2x^2+x^3- \frac{x^4}{4})_{-1}^{0} + (2x^2+x^3- \frac{x^4}{4})_{0}^{1}\\\\\\= ( 2- 1 -\frac{1}{4}) + (2+1- \frac{1}{4})\\\\\\= ( \frac{8-4-1}{4}) + (\frac{8+4-1}{4})\\\\= ( \frac{3}{4}) + (\frac{11}{4})\\\\= \frac{3}{4} + \frac{11}{4}\\\\= \frac{11+3}{4}\\\\= \frac{14}{4}\\\\= \frac{7}{2}\\\\$

7 0

3 years ago

Camryn practices the trumpet every 11th day and the flute every 3rd day. Camryn practiced both the trumpet and the flute today.

QveST [7]

Answer: 33 days.

Step-by-step explanation:

Given :- Camryn practices the trumpet every 11th day and the flute every 3rd day.

Camryn practiced both the trumpet and the flute today.

To find the number of days until Camryn practices the trumpet and flute again in the same day, we need to find the least common multiple (L.C.M.) of 11 and 3.

As they both are co-prime numbers thus its L.C.M.= 11×3=33

Therefore, Camryn practices the trumpet and flute again in the same day after 33 days.

4 0

3 years ago