Classify the statement as either true or false.

Factor the expression 3x^(2)+10x+8

marin [14]

Hello,

If we want to factor the expression, we have to solve

3x² + 10x + 8 = 0

a = 3 ; b = 10 ; c = 8

∆ = b² - 4ac = 10² - 4 × 3 × 8 = 4 > 0

x1 = (-b - √∆)/2a = (-10 - 2)/6 = -12/6 = -2

x2 = (-b + √∆)/2a = (-10 + 2)/6 = -8/6 = -4/3

Factor :

a (x - x1)(x - x2)

= 3(x + 2)(x + 4/3)

= (x + 2)(3x + 4)

8 0

2 years ago

Can someone show me how to do this

lbvjy [14]

Answer:

True

Step-by-step explanation:

We got the formula for that:

F=ma

now if you replace the given data, it's gonna be

F=5 kg×3m/s²====> F=15kg.m/s²

7 0

1 year ago

Music featuring several independent lines is called

Tamiku [17]

In music, polyphony is a texture consisting of two or more simultaneous lines of independent melody, as opposed to a musical texture with just one voice which is called <u>monophony</u>, and in difference from musical texture with one dominant melodic voice accompanied by chords which is called homophony.

8 0

2 years ago

A waitress sold 12 ribeye steak dinners and 39 grilled salmon totaling $575.53 on a particular day. Another day she sold 25 ribe

DedPeter [7]

Answer:

The cost of a ribeye steak dinner is $18.60.

The cost of a grilled salmon dinner is $9.03.

Step-by-step explanation:

let r be the cost of a ribeye steak dinner

let g be the cost of a grilled salmon dinner

Represent the two situations using equations:

12r + 39g = 575.53 (equation 1)

25r + 13g = 582.43 (equation 2)

The best method to use for this case is elimination, which is when you get rid of one of the variables by subtracting or adding.

Since the coefficients for "g" are 39 and 13, they can be eliminated if equation 2 was triple itself.

(25r + 13g = 582.43) X 3

= 75r + 39g = 1747.29 (new equation 2)

Subtract "equation 1" from "new equation 2"

. 75r + 39g = 1747.29

. 63r + 0g = 1171.76 <=we only deal with "r" because 0g is nothing

. 63r = 1171.76 <=divide both sides by 63 to isolate r

. r = 18.60 <=rounded from 18.599...

The cost of a ribeye steak dinner is $18.60.

Use any one of the equations to solve for "g", the cost of grilled salmon dinners. I will use equation 1.

12r + 39g = 575.53

Substitute r = 18.6

12(18.6) + 39g = 575.53 <=only one variable now

223.2 + 39g = 575.53 <=subtract 223.2 from both sides

39g = 352.33 <=divide both sides by 39 to isolate g

g = 9.03 <=rounded from 9.0341...

The cost of a grilled salmon dinner is $9.03.

4 0

2 years ago

The bar diagram represents 24 hours in one day and shows a mark at 30%If you sleep 30% of the day, how many hours do you sleep?

horrorfan [7]

Let:

100%---------------->24h

30%------------------>xh

Using cross multiplication:

$\begin{gathered} \frac{100}{30}=\frac{24}{x} \\ solve_{\text{ }}for_{\text{ }}x\colon \\ x=\frac{30\cdot24}{100} \\ x=\frac{720}{100}=7.2h \end{gathered}$

8 0

10 months ago