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coldgirl [10]
3 years ago
5

What is the y-intercept of the quadratic function f(x) = (x – 8)(x + 3)?

Mathematics
1 answer:
frez [133]3 years ago
8 0

Answer:

y-intercept is -24

Step-by-step explanation:

The solution is in the picture

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Explain why the sum or product of rational numbers is rational; why the sum of a rational number and an irrational number is irr
Colt1911 [192]

Answer:

Rational numbers are fractional numbers, whose numerator and denominator are integers and the denominator is ever zero.

Step-by-step explanation:

The sum of rational numbers gives a rational number;

   \frac{1}{3}  + \frac{1}{3} = \frac{2}{3} , because the evaluation of the denominator always results to a non-zero integer.

The product of  \frac{1}{3} x \frac{1}{3} = \frac{1}{9}, which multiply both numerator and denominator to give integer numbers.

The sum and product of rational and irrational numbers are always irrational numbers, for instance,

           \frac{1}{3} x 7 = 2.3 , which is a number which decimal points that can only be represented by the product irrational number and rational number , where 7 is an irrational number.

       \frac{1}{3} + 7 =  7\frac{1}{3} , which is a whole number and fractional number combined.

4 0
3 years ago
Shelley's Cupcakes recently sold 8 cupcakes, of which 4 were coconut cupcakes. Considering this data, how many of the next 20 cu
svp [43]

Answer:

10 coconut cupcakes.

Step-by-step explanation:

7 0
3 years ago
Who Washes? Erica and Aaron, who are siblings, have decided to use a lottery system to decide who will wash dishes every night.
Anestetic [448]

Given that Erica and AAron,are using lottery system to decide who will wash dishes every night.

They put some red and blue power chips and draw each one.  If same colour, Aaron will wash and if not same colours Erica will wash

If the game is to be fair, then both should have equal chances of opportunity for washing.

i.e. Probability for Erica washing = Prob of Aaron washing

i.e. P(different chips) = P(same colour chips)

Say there are m red colours and n blue colours.

Both are drawing at the same time.

Hence Prob (getting same colour) = (mC2+nC2)/(m+n)C2

Probfor different colour = mC1+nC1/(m+n)C2

The two would be equal is mC2 +nC2 = m+n

This is possible if mC2 =m and nC2 = n.

Or m = 2+1 =3 and n =3

That for a fair game we must have both colours to be 3.


3 0
3 years ago
a munfuctor of medical supplies produces 1 liter of bags of saline solution. the cost to produce x thousand bags of saline is gi
o-na [289]
A manufacturer<span> of </span>medical supplies produces 1 liter bags<span> of </span>saline solution. thecost<span> to </span>produce x thousand bags<span> of </span>saline<span> is </span>given<span> by the </span>cost<span> func. ... thousand </span>bags<span> of </span>saline<span> is</span>given<span> by the </span>cost function<span> C(x)=1.7x^2-5.3x+3.2, ...</span>
8 0
3 years ago
Find the derivative of f(x) = (1 + 6x2)(x − x2) in two ways.
ipn [44]
Using product rule;

f(x)=(1+6x²)(x-x²)

f'(x)=(12x)(x-x²) + (1-2x)(1+6x²) = 12x² -12x³ +1 +6x² -2x -12x³ = -24x³ +18x² -2x +1

Solving the bracket first;

f(x)=(1+6x²)(x-x²) = x -x² +6x³ -6x^4

f'(x)= 1 -2x +18x² -24x³ = -24x³ +18x² -2x +1

3 0
3 years ago
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