1. What is the goal of factoring a quadractic?
2. What is the discriminant?
3. What is meant by completing a square?

Answer:

[tex] \frac{1} {2^{-1}}[/tex]

Step-by-step explanation:

[tex] \huge \frac{1}{ {8}^{ - \frac{1}{3} } } \\ \\ = \huge \frac{1}{ {( {2}^{3} )}^{ - \frac{1}{3} } } \\ \\ = \huge \frac{1}{ {{2} }^{ - 3 \times \frac{1}{3} } } \\ \\ = \huge \frac{1}{ {{2} }^{ - 1 } } [/tex]

Answer:

Step-by-step explanation:

1/18

10^2 x (3/5)^2 - 7

= 100 x 9/25 - 7

= 900/25 - 7

= 36 - 7

= 29

Answer:

90

Step-by-step explanation:

Answer:

a)

(4a - 3b + 4) + (a + 3b - 1) =

4a - 3b + 4 + a + 3b - 1 =

5a + 3

b)

(2x^2 - 3x - 3) + (-x^2 - 6x + 8) =

2x^2 - 3x - 3 - x^2 - 6x + 8  =

x^2 - 9x + 5

c)

(3m^2 + 5m - 6) + (-m^2 - 4n + 5) =

3m^2 + 5m - 6 - m^2 - 4n + 5 =

m^2 + 5m - 4n -1

d)

(4x^3 - 3xy^2) + (x^3 - 5xy^2 - 5y^2) =

4x^3 - 3xy^2 + x^3 - 5xy^2 - 5y^2 =

7x^3 - 8xy^2 - 5y^2

e)

(5m + 2lm) + (l^2 - 3m^2 - 2lm) =

5m + 2lm + l^2 - 3m^2 - 2lm =

5m + l^2 - 3m^2

Answer:

9 + 6.2x = y

Step-by-step explanation:

x - Gallons per minute

y - Total gallons

So, your answer would be:

9 + 6.2x = y

Could also be written as:

y = 9 + 6.2x

Hope this helps :)

Answer:

x + y = 10

3.75x + 2.5y = 35

Step-by-step explanation:

Got it correct

the answer os 60% of 20 is 12

Answer:10.81

Step-by-step explanation:It’s 2.96-(-7.85)=2.96+7.85

Answer:

B.- [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The common difference is the difference between the numbers in your arithmetic sequence. In this case, we see that the numbers are getting smaller, so we can start by setting up this equation:

[tex]\frac{2}{3} - \frac{1}{6}[/tex]

Because these fractions don't have a common denominator, you make them equal by changing the fractions to have a common denominator. The LCM is 6, so we multiply the first fraction by 2/2:

[tex]\frac{4}{6} - \frac{1}{6} = \frac{3}{6}[/tex]

3/6 can be simplified to be 1/2, and we know we're subtracting, so the answer is b.

Answer:

B

Step-by-step explanation:

Answer:

b. 13/51

Step-by-step explanation:

hope this helps have a nice day :)

Answer:

d) 4/17

Step-by-step explanation:

14 of each suit, out of 52 total cards.

14/52 would be the chance to draw a diamond.

but, since you removed a card, you change the probability.

13 - 1 = 12

52 - 1 = 51

the probability that you will choose another diamond is 12/51

however, this can be simplified.

12 & 51 are both divisible by 3.

12/3 = 4

51/3 = 17

so the simplified answer would be 4/17

Answer:7 foot i think

Step-by-step explanation: bottom is 4 foot side is 7 foot that means other side is 7 foot

Answer:

a=55%

b=190%

c=54 pounds

Step-by-step explanation:

ok

a.

33/60=0.55

55%

b.

114/60=1.9

or 190%

c

60/100=0.6

0.6=1 percent

54

Answer:

a=55%

b=190%

c=54 pounds

Step-by-step explanation:

Answer: 2=2

Step-by-step explanation:

Without any more information, it sounds like interest is compounded continuously, in which case the value of the investment A is given by

[tex]A=Pe^{rt}[/tex]

where P is the principal investment, r is the interest rate, and t is the number of years.

At the end of the second year (t = 2), the value is A = 60,500, and after the fourth year (t = 4), the value is A = 73,205. So solve the system

[tex]\begin{cases}60,500=Pe^{2r}\\73,205=Pe^{4r}\end{cases}[/tex]

for r. You can eliminate P by dividing

[tex]\dfrac{Pe^{4r}}{Pe^{2r}}=\dfrac{73,205}{60,500}\implies e^{2r}=\dfrac{121}{100}[/tex]

Take the logarithm (log here means natural log) of both sides to get

2r = log(121/100)

r = 1/2 log(121/100)

r ≈ 0.0953

So the interest rate is about 9.53%.

Answer:

x^4-3x^3-14x^2+12x+40 =0

Step-by-step explanation:

Answer:

=3(y-y)

=3

= 6q-q+9

=q(6-1)+9

=5q+9

Answer:

827.5 I guess is the answer

Answer:

6 827.472 8.27471 × 102

5 827.47 8.2747 × 102

4 827.5 8.275 × 102

3 827 8.27 × 102

2 830 8.3 × 102

1 800 8 × 102

827.4715

Sig Figs

7

Decimals

4

Scientific Notation

8.274715 × 102

Words

eight hundred twenty-seven point four seven one five

Answer:

XL = PC

AC = NX

PC = XL

Angle L = Angle C

Angle C = Angle L

Angle X = Angle P

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

If there are x boxes, each containing 12 cookies, then the number of cookies in the boxes is 12x. If there are 24 more cookies than that at the party, we have ...

  y = 12x +24 . . . . . equation modeling party cookies

__

For x=60, the number of cookies at the party is ...

  y = 12·60 +24 = 720 +24

  y = 744 . . . cookies at the party

Answer:

8.08 %

Step-by-step explanation:

Let us denote : [tex]X=[/tex] score X follows a normal distribution with mean [tex]=24[/tex] and standard deviation [tex]=1.5[/tex]

Step 2

The probability that someone scored 21.9 or less is :

[tex]\mathrm{P}(\mathrm{X} \leq 21.9)[/tex]

[tex]=\mathrm{P}\left(\mathrm{Z} \leq \frac{21.9-24}{1.5}\right)[/tex]

[tex]=\mathrm{P}(\mathrm{Z} \leq-1.4)[/tex]

[tex]=0.0808[/tex]

[tex]=8.08%[/tex]

Answer : [tex]8.08 %[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

Let e represent the number of pounds of expensive chocolate in the bag. Then (3-e) is the amount of the other chocolate. The total cost of the bag will be ...

  6.00e +4.50(3 -e) = 15.00

  1.50e = 1.50 . . . . . . collect terms, subtract 13.50

  e = 1 . . . . . . . . . . . . .divide by 1.50

1 pound of expensive chocolate is used; 2 pounds of other chocolate is used.

Answer:

No values of x- Any whole number that is not 8

All values of x: 8

Just one Value of x: There could be many possibilites but all of them have to be some value of x. One answer is:x

Step-by-step explanation:

3x + 8 = 3x + x, which has one solution at x=8.

The given equation is 3x+8=3x+ ____.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

If 3x + 8 = 3x + 7 has no solutions

If 3x + 8 = 3x + 8 has infinite solutions

If 3x + 8 = 3x + x is equal to 3x + 8 = 4x, which has one solution at x=8

Therefore, 3x + 8 = 3x + x, which has one solution at x=8.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer:

y = (0,4)

x=(6,0)

(6,4)

Step-by-step explanation:

Answer:

The answer is $1,175.34

Answer:

x = 12

Step-by-step explanation:

The sum of a heptagon interior angles is 900 degrees, so:

10x + 5 + 12x - 9 + 9x + 14 + 133 + 10x + 9 + 10x + 136 = 900

rearrange to make it easier to subtract/add, u don't have to do this it's optional

10x + 12x + 9x + 10x + 10x + 5 - 9 + 9 + 14 + 133 + 136 = 900

add liket terms

22x + 29x + 19 + 269 = 900

51x + 288 = 900

subtract 288 from both sides

51x = 612

divide by 51

x = 12

Answer:

33 is the large bag

Step-by-step explanation:

10% of 30 = 3

30 + 3 =33

Answer:m = 5/4  b=2 and  y=5/4x +2

Step-by-step explanation:

m = 5/4  b=2 and  y=5/4x +2

Look at the values on the axes of the graph.

Step-by-step explanation:

Domain can be found by looking at the x-axis of a graph. Range can be found by looking at the y-axis of a graph. You have to find at what point on the axis is the graph stopping.

For example, if I wanted the domain of y=x, I would say it is all real numbers. Why? Because when we look along the x-axis, from left to right, we can see that it continues going until infinity. That means that there are no stopping points in the graph of y=x.

Answer:

46

Step-by-step explanation:

Calculate in calculator

Answer:

h(2) = -18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

h(x) = -x³ - 2x² - 3x + 4

x = 2

Step 2: Evaluate