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3 years ago

Simplify: 3x3 (4x4 + 3y)

Mathematics

1 answer:

luda_lava [24]3 years ago

5 0

Answer:

144+27y

Step-by-step explanation:

3x3(4x4+3y)

9(16+3y)

144+27y

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Find the formula for the nth term of the sequence: 0,7,18,33,52

defon

Answer:

t(n) = 2n² + n - 3

Step-by-step explanation:

Given sequence:

0, 7, 18, 33, 52

Find the formula for nth term t(n)

<h3>Solution</h3>

Sequence is neither arithmetic nor geometric, analyzing:

0, 7, 18, 33, 52

First level difference

7, 11, 15, 19

Second level difference

4, 4, 4

As there are two levels, the formula should be in the form of:

t(n) = an² + bn + c

Trying the formula with the known terms:

t(1) = 0 ⇒ a+b + c= 0

t(2) = 4a + 2b + c = 7 ⇒ 3a + b = 7

t(3) = 9a + 3b + c = 18 ⇒ 3(3a+b) + c = 18 ⇒ 21 + c = 18 ⇒ c = -3

Going back to previous equations to find remaining coefficients:

t(1) ⇒ a+ b = 3 ⇒ t(2) = 2a + (a+b) = 7 ⇒2a + 3 = 7 ⇒ a= 2 ⇒ b = 1

So the formula becomes:

t(n) = 2n² + n - 3

8 0

3 years ago

Right answer will get brainlist

exis [7]

Answer:

x = -3

Step-by-step explanation:

System of equations has been given as,

y = 2x + 8

y = $-\frac{2}{3}x$

Since, solution of the system of equations is the point of intersection on the graph.

Therefore, point of intersection or solution of the system will be,

(x, y) = (-3, 2)

This common point will satisfy both the equations.

And x = -3 will also both the equations.

5 0

3 years ago

Today, everything at a store is on sale. The store offers a 20% discount. Match the following items with their sale price.

kicyunya [14]

Answer:

100 - 20 = 80

original cost/100 X 80 = sale price

4 0

3 years ago

Why did I get it wrong ? I’m finding constant B and idk what’s wrong with my step.

Klio2033 [76]

Answer:

$\large \boxed{\sf \ \ A=5, \ \ B=-13 \ \ }$

Step-by-step explanation:

Hello,

What you did is correct...

$(Ax-3)(x-2)=5x^2+Bx+6\\\\\text{*** we develop the left side ***}\\\\Ax^2+(-2A-3)x+6=5x^2+Bx+6$

... and you found A by identifying the term in $x^2$ to get A = 5, right?

What about the other terms?

We can then identify the like terms:

>>> term in $x^2\\$

A = 5

>>> term in x

-2A+3=B

>>> constant term

6 = 6

As we know that A=5 it means that B = -2*5-3=-13

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

3 0

3 years ago

Read 2 more answers

Cameron has 3/4 pound of raspberries, 1/8 pound of blueberries, and 1/2 pound of blackberries to make a frit salad. How many pou

Sedbober [7]

Answer:

1.375

Step-by-step explanation:

5 0

3 years ago