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2 years ago

9

Find the factorization of 72 and 100

1 answer:

REY [17]2 years ago

4 0

72- 8x9 - 4 x 4 and 3x3- 2x2x3x3
100-10x10

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Javier participated in a local hot dog-eating contest. The graph below shows the number of hot dogs he ate. What is Javier's ave

Elina [12.6K]

D, 1 minute 7 hotdogs are aten

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2 years ago

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Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,

Tresset [83]

Answer:

$\boxed{y=2x^2+4x-7}$

Step-by-step explanation:

Let the quadratic function be

$y=ax^2+bx+c$

We substitute $(-4,9)$ into the equation to obtain;

$9=a(-4)^2+b(-4)+c$

$\Rightarrow 9=16a-4b+c---(1)$

We substitute $(0,-7)$ to obtain;

$-7=a(0)^2+b(0)^2+c$

$\Rightarrow c=-7---(2)$

We finally substitute $(1,-1)$ to obtain;

$-1=a(1)^2+b(1)^2+c$

$\Rightarrow -1=a+b+c---(3)$

We put equation (2) into equation (1) to get;

$9=16a-4b-7$

$16a-4b=16$

$\Rightarrow 4a-b=4---(4)$

$\Rightarrow -1=a+b-7$

$\Rightarrow a+b=6---(5)$

We add equation (4) and (5) to get;

$4a+a=6+4$

$\Rightarrow 5a=10$

$\Rightarrow a=2$

We put $a=2$ into equation (5) to get;

$2+b=6$

$\Rightarrow b=6-2$

$\Rightarrow b=4$

The reqiured quadratic function is

$y=2x^2+4x-7$

7 0

2 years ago

Find the value of (-64)2/3

Marizza181 [45]

Answer:

-42.66666...

Step-by-step explanation:

-64 * 2/3 is -42.66666...

well, according to the calculator.

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3 years ago

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Captain Max flies through Chicago 7 times each week and through Dallas 9 times each week. The expression 7w + 9w shows how many

Natali5045456 [20]

Answer:

16w

Step-by-step explanation:

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2 years ago

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Paul currently has $300 to spend on a data plan. He found a phone for $100 and a $50 a month charge.

zvonat [6]

Let x= months
So 50x is the total amount he pays after x months. You went to add 100 to this because there's a fixed cost of 100 for the phone
So you have the expression 100+50x which is the amount he pays after x months
Since he has a limit of 300,
100+50x < 300

3 0

2 years ago