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2 years ago

Consider the function f(x) = -4x²-9x+20. Determine f(-2)=

Mathematics

1 answer:

hoa [83]2 years ago

3 0

Step-by-step explanation:

you just substitute (-2) into the x values of the above function

$f( - 2) = - 4( - 2)^{2} - 9( - 2) + 20 \\ f( - 2) = 22$

You might be interested in

Determine the distance between -7 and 7

PtichkaEL [24]

Answer= 14

Distance between-7 and 0 is 7 plus the distance between 7and 0 which is also 7 Gives is the total distance of 14

3 0

3 years ago

The physical plant at the main campus of a large state university recieves daily requests to replace fluorescent lightbulbs. The

Bond [772]

Answer:

34% of lightbulb replacement requests numbering between 47 and 52

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 52

Standard deviation = 5

Between 47 and 52:

52 is the mean and 47 is one standard deviation below the mean.

By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean.

Since the normal distribution is symmetric, of those, 34% are within 1 standard deviation below the mean and the mean(47 and 52) and 34% are within the mean and one standard deviation above the mean(52 and 57).

34% of lightbulb replacement requests numbering between 47 and 52

3 0

2 years ago

-10=2(-3x + 1)

Delicious77 [7]

Ballance method is just a fance method of helping you remember to DO THE SAME THING TO BOTH SIDES OF AN EQUATION to keep it ballanced

-10=2(-3x+1)
divide BOTH SIDES by 2 to get rid of that 2 in front
-5=-3x+1
minus BOTH SIDES 1
-6=-3x
divide BOTH SIDES by -3
2=x

-x-7=-12
add7 BOTH SIDES
-x+7-7=-12+7
-x+0=-5
-x=-5
multiplY BOTH SIDES -1
x=5

4 0

3 years ago

Amelie is making a recipe that uses 1 3/4 cups flour. She is making 2 1/2 times the original recipe.

elixir [45]

Answer:

She would need $4\frac{3}{8}$ flour to make $2\frac{1}{2}$ times the recipe.

Step-by-step explanation:

To make 1 recipe Amelia uses = $1 \frac{3}{4}\ cups$ of flour.

So, to make $2\frac{1}{2}$ times the recipe she would need = $1 \frac{3}{4}\times 2\frac{1}{2}$ .

We evaluate the above mixed numbers by converting them to fraction(by multiplying denominator with whole number and adding to numerator and write as fraction of same denominator.).

$=\frac{7}{4}\times \frac{5}{2}$

$=\frac{35}{8}$

Then converting back to mixed number (by dividing the numerator by denominator and writing the quotient as the whole number and the remainder as fraction with same denominator.

$\frac{35}{8}=4\frac{3}{8}$