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3 years ago

Identify the values of a, b and c in the quadratic function y = 3x^2 −5x +2

Mathematics

2 answers:

olga2289 [7]3 years ago

7 0

A quadratic function is written in terms of y = ax^2 + bx + c

Using the given equation:

a= 3, b=-5, c =2

algol133 years ago

4 0

Example : the answer

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Grace earns $7 for each car she washes. She always saves $25 of her weekly earnings.This week,she wants to have at least $65 in

Irina-Kira [14]

Answer:

she must wash 8 cars because 7 x 8 = 56 so yeah bye

Step-by-step explanation:

7 0

2 years ago

Exponential growth/decay problem 1

RUDIKE [14]

Answer:

a) growth

b) $500

c) 6% = 0.06

d) $f(x)=500(1.06)^x$

e) $595.51

Step-by-step explanation:

Part (a)

Exponential GROWTH, since interest is applied to the account each year.

Part (b)

Initial amount = $500

Part (c)

Growth factor = 6% = 0.06 (in decimal form)

Part (d)

General form of exponential growth function:

$f(x)=a(1+r)^x$

where:

a = initial amount
r = rate of growth (in decimal form)
x = time (in years)

Given:

a = 500
r = 0.06

$\implies f(x)=500(1+0.06)^x$

$\implies f(x)=500(1.06)^x$

Part (e)

when x = 3

$\begin{aligned}\implies f(3) & =500(1.06)^3\\ & = 595.51\: \sf(nearest\:hundredth)\end{aligned}$

5 0

2 years ago

If s pool holds 22,000 gallon how long will it take to fill a pool at a rate of 400 gallon per minute round to the nearest tenth

worty [1.4K]

T=volume÷rate
this will cancel out gal and leave min

22000 gal ÷ 400 gal/min

55 min

3 0

3 years ago

Which expression is a factor of 10x^2+11x+3

Ulleksa [173]

Answer:

The factors are (5x + 3) and (2x + 1)

Step-by-step explanation:

When you need to factor a quadratic, and the coefficient of the x² is not 1, use the slide and divide method.

The general form of a quadratic is ax² + bx + c

Factor: 10x² + 11x + 3

Here a = 10, b = 11, and c = 3

Step 1: Multiply ac, we SLIDE a over to c. Notice the 10 is gone for now..

x² + 11x + 30

Step 2: Factor this (this step will always factor)

x² + 11x + 30 = (x + 5)(x + 6)

So the factors are (x + 5)(x + 6), but we now need to DIVIDE by a, since we multiplied it into c before. We divide the constants in the factors...

(x + 5/10 )(x + 6/10 )

Now reduce the fractions as much as possible...

(x + 1/2 )(x + 3/5)

*If they don't reduce to a whole number, SLIDE the denominator over as a coefficient of x....

(2x + 1)(5x + 3) *2 slide over in front of x, 5 slide over in front of x, the fractions are gone!

These are our factors!

5 0

3 years ago

Question that i dont know

lutik1710 [3]

Answer:

A translation of 3 units to the right and a translation of one unit upwards.

Step-by-step explanation:

When we analyze translations of whole figures, all the points in the figure suffer the same translation, then we only need to analyze the translation of one of the points.

This means that we can only see the translation from A to A'

First, let's find the coordinates of each point:

A (2, 3)

A' (5, 4)

The translation is given if we calculate the difference between these coordinates:

A' - A = (5, 4) - (2, 3) = (5 - 2, 4 - 3) = (3, 1)

The change in the x-value is 3.

The change in the y-value is 1.

Then we can conclude that:

A' is 3 units at the right of A

A' is 1 unit above A.

Then the translation is:

A translation of 3 units to the right and a translation of one unit upwards.

5 0

2 years ago