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3 years ago

Dirk bought a set of stamps the number of stamps in the set is divisible by 2,3,5,6,and 9. Which set is it

Mathematics

1 answer:

Greeley [361]3 years ago

8 0

The least common multiple in that set of numbers is 90.

Dirk bought a set of 90 stamps.

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The graph of y = |x| is shifted to the left by 6 units.

Gnom [1K]

Answer:

D, y= |x+6|

When a graph is shifted to the left, you add the shifted value to the x value in function notation.

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3 years ago

Factor 16x^2 + 49. Check your work.

Shtirlitz [24]

Answer:

$16x^2+49=(x-\frac{7i}{4})(x+\frac{7i}{4})$

Step-by-step explanation:

Given : Expression $16x^2+49$

To find : Factor the expression ?

Solution :

The given expression is a quadratic function $y=ax^2+bx+c$ the solution is $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

On comparing with general form,

a=16, b=0, c=49

Substitute in the formula,

$x=\frac{-0\pm\sqrt{0^2-4(16)(49)}}{2(16)}$

$x=\frac{\pm\sqrt{-3136}}{32}$

$x=\frac{\pm56i}{32}$

$x=\frac{56i}{32},\frac{-56i}{32}$

$x=\frac{7i}{4},\frac{-7i}{4}$

Factors are $(x-\frac{7i}{4}),(x+\frac{7i}{4})$

Therefore, $16x^2+49=(x-\frac{7i}{4})(x+\frac{7i}{4})$

4 0

3 years ago

Help ! I AM Not sure what to do

o-na [289]

The answer is (3,5)

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2 years ago

Two pages that face each other in a book have 421 as the sum of their page numbers. What is the number of the page that comes fi

nordsb [41]

Answer:the pages will come on the first is 210

Explanation:

Since we have given that two pages that face each other in a book

i.e. they must be consecutive to each other

so, let the first page number be x

and the second page number be x+1

According to question,

$x+x+1=421\\2x+1=421$

2x=421 -1

2x=420

$x=\frac{420}{2}\\=210$

So, the pages will come on the first is 210

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3 years ago

It costs 9.95 for 1 ticket to the movies. If 3 people go, how much would the total price of 3 tickets be?

SIZIF [17.4K]

It would be $9.95 x 3

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3 years ago