f(x) = 2(x - 2)(x + 5) in standard form

Answer:

[tex]\boxed{x_1 = \frac{2}{3} ~~or~~x_2 = 1}[/tex]

.

Step-by-step explanation:

[tex](3x - 2)(5x - 4) = (3x - 2)^2[/tex]

[tex]15x^2 - 12x - 10x + 8 = 9x^2 - 12x + 4[/tex]

[tex]15x^2 - 22x + 8 - 9x^2 + 12x - 4 = 0[/tex]

[tex]6x^2 - 10x + 4 = 0[/tex] → divide both segment by 2

[tex]3x^2 - 5x + 2 = 0[/tex]

[tex](3x - 2)(x - 1) = 0[/tex]

[tex]3x - 2 = 0[/tex]

[tex]3x = 2[/tex]

[tex]x = \frac{2}{3}[/tex]

.

[tex]x - 1 =0[/tex]

[tex]x = 1[/tex]

Answer:

-1 < x

Step-by-step explanation:

-10 < x - 9

+9. +9

-1 < x

Answer:

349

Step-by-step explanation:

please give thanks by clicking the heart :)

Answer:

She practiced a total of 64.5 hours

Step-by-step explanation:

Here, we need to know the number of hours practiced on both per day

Mathematically, that will be;

0.75 + 1.4 = 2.15 hours per day

So in 30 days ; the total number of hours will be

30 * 2.15 = 64.5 hours

Answer:

(1). E ; (2). C ; (3). H ; (4) A ;

Step-by-step explanation:

(1). m = [tex]\frac{1}{2}[/tex]

(2). m = 2

(3). m = - [tex]\frac{1}{2}[/tex]

(4). m = - 2

Answer:

ECHA

Step-by-step explanation:

1.) E

m = 1/2

2.) C

y2 - y1/x2 - x1 = m

-4 - (-8)/3 - 1 = m

8 - 4/3 - 1 = m

4/2 = m

m = 2

3.) H

y2 - y1/x2 - x1 = m

-3 - (-6)/-4 - 2 = m

6 - 3/-6 = m

3/-6 = m

-1/2 = m

4.) A

m = -2

Answer:

C

Step-by-step explanation:

Answer:

Richard can buy 20 bananas for $5

Step-by-step explanation:

∵ Richard bought 3 pounds of bananas for $1.50

∵ 1 pound = 16 ounces

∴ 3 pounds = 3 × 16 = 48 ounces

→ That means Richard bought 48 ounces for $1.50

∴ The cost 48 ounces = $1.50

∵ A banana weighs about 8 ounces

→ Let us find 48 ounces equal to how many bananas

∵ 48 ÷ 8 = 6

∴ The 48 ounces are the weighs of 6 bananas

∴ The cost of 6 bananas = $1.50

→ To find how many bananas can he buy by $5, use the ratio method

→  Cost  :  Banana

→  1.50   :  6

→  5        :   x

→ By using cross multiplication

∵ 1.50 × x = 5 × 6

∴ 1.50x = 30

→ Divide both sides by 1.50

∴ x = 20

∵ x is the number of bananas

∴ Richard can buy 20 bananas for $5

Answer:

3m

Step-by-step explanation: divide 12m by 4m

Answer:

(3a+4)(9a^2-12a+16)

Step-by-step explanation:

It's a perfect square :)

The factors of the given polynomial are (4+3a)(9a²-12a+16)

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations.

Given that, a polynomial, 64+27a³

Using identity : a³+b³ = (a+b)(a²-ab+b²)

We get,

= (4+3b)(4²-4x3a+(3a)²)

= (4+3a)(16-12a+9a²)

Hence, the factors of the given polynomial are (4+3a)(9a²-12a+16)

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Answer: the answer is 1.6

Step-by-step explanation: 8 divided by 5 is 1.6

Answer:

70,000 50,000

Step-by-step explanation:

just round it. not sure if it right

Answer:

7,300,000

Step-by-step explanation:

The answer you're looking for would be 7,300,000.

Answer:

16 17

Step-by-step explanation:

Answer:

A.In Nuuk, Greenland, in January, the average high-temperature is -4.6°C (23.7°F), and the average low-temperature is -10°C (14°F).

B. the average high-temperature is 5.7 degrees celsius and average low temperature is 3.3 degrees celsius

C. 4 degrees celsius

D. 39 degrees fahrenheit

E. Isla Hoste in august

F.On the average, the average low in January for Nuuk is 10/3 or 3.333 times farther below the freezing point of water than the average low for Isla Hoste in August.

Step-by-step explanation:

Hope this helps OwO

a) The average high and low temperatures are -8°C and -27°C.  b) The average high and low temperatures are 13°C and  7°C. c) The average net change in temperature is -19°C.  d) The average net change in temperature is 6°C.  e) Nuuk in January experiences a larger absolute change.  f) The January low for Nuuk is 3.8 times farther below the freezing point of water than the August low for Isla Hoste.

Part A

The average high temperature in Nuuk in January is -8°C and the average low temperature is -27°C.

Part B

The average high temperature in Isla Hoste in August is 13°C and the average low temperature is 7°C.

Part C

The average net change in temperature in Nuuk in January is -27°C - (-8°C) = -19°C.

Part D

The average net change in temperature in Isla Hoste in August is 13°C - 7°C = 6°C.

Part E

Nuuk in January experiences a larger absolute change between the high temperature and low temperature, with a net change of -19°C, compared to Isla Hoste in August, with a net change of 6°C.

Part F

The January low for Nuuk is -27°C, which is 27°C below the freezing point of water. The August low for Isla Hoste is 7°C, which is 7°C below the freezing point of water. Therefore, the January low for Nuuk is 27 / 7 = 3.8 times farther below the freezing point of water than the August low for Isla Hoste.

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Answer:

x - 10y = -59

(+)-4x + 10y = 86

-3x = 27

x = -9

substitute x into x - 10y = -59

-9 -10y = -59

-10y = -50

y = 5

Answer:

8

Step-by-step explanation:

just take the numerator and thats how many

Answer:

Step-by-step explanation:

1 is addition

2 is subtraction

3 is division

Answer:

D

Step-by-step explanation:

We know that every second the bird's position lowers by 3(-3) so the equation for it is option D

Answer:

its A i got got right on my test

Step-by-step explanation:

A.P.E.X.

Answer:

c. 3x + 2( 3 x plus 2 )

d. 6x − 3x+ 1 −1(6 x minus 3 x plus 1 minus 1)

Step-by-step explanation:

We are given the expression:

6x+1−1(3x−1) .

Solving this expression:

6x + 1 - 3x +1

Collect like terms

6x - 3x +1 +1

3x + 2

Hence, the expression that are equivalent to 3x + 2 are:

c. 3x+2( 3 x plus 2 )

d. 6x−3x+1−1(6 x minus 3 x plus 1 minus 1)

Answer:

$100,000

Step-by-step explanation:

Let the total income of the store = [tex]\$x[/tex]

Total spends on salaries = [tex]\frac{1}{4}[/tex] of total income

Total spends on advertising = [tex]\frac{1}{6}[/tex] of total income

Also, we are given that:

Total money paid as salaries = $150,000

To find:

Total spends on advertising ?

Solution:

As per question statement, we can write the following equation:

[tex]\dfrac{1}{4}x =\$150000\\\Rightarrow x =\$150000\times 4\\\Rightarrow x = \$600000[/tex]

Now, as per the given statement, total spends on advertising are:

[tex]\dfrac{1}{6}x =\dfrac{1}{6}\times 600000 = \bold{\$100,000 }[/tex]

Therefore, the answer is $100,000

Answer:

the 44th term in this sequence is 3

Step-by-step explanation:

Answer:

Simplified this is -304 + 38m = 52 + 26m

m in the equation is 29 2/3

Step-by-step explanation:

Reorder the terms:

19(-16 + 2m) = 13(2m + 4)

(-16 * 19 + 2m * 19) = 13(2m + 4)

(-304 + 38m) = 13(2m + 4)

Reorder the terms:

-304 + 38m = 13(4 + 2m)

-304 + 38m = (4 * 13 + 2m * 13)

-304 + 38m = (52 + 26m)

Simplfied answer:

-304 + 38m = 52 + 26m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-26m' to each side of the equation.

-304 + 38m + -26m = 52 + 26m + -26m

Combine like terms: 38m + -26m = 12m

-304 + 12m = 52 + 26m + -26m

Combine like terms: 26m + -26m = 0

-304 + 12m = 52 + 0

-304 + 12m = 52

Add '304' to each side of the equation.

-304 + 304 + 12m = 52 + 304

Combine like terms: -304 + 304 = 0

0 + 12m = 52 + 304

12m = 52 + 304

Combine like terms: 52 + 304 = 356

12m = 356

Divide each side by '12'.

m = 29.66666667

Simplifying

m = 29.66666667 = 29 2/3

Answer:

x = 1.73

y = 2.45

z = 1.41

Step-by-step explanation:

1/z = z/2

z^2 = 2

z = sqrt(2)

1^2 + z^2 = x^2

1 + 2 = x^2

x^2 = 3

x = sqrt(3)

z^2 + 2^2 = y^2

2 + 4 = y^2

y^2 = 6

y = sqrt(6)

x = 1.73

y = 2.45

z = 1.41

Answer:

[tex]m=\frac{-5}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (1, 1)

Point (3, -4)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

Slope: 3/2

y intercept (0,-6)

Step-by-step explanation:

3x-2y=12

First, solve for y

2y=12-3x

divide each term by -2 and simplify

y=-6+[tex]\frac{3x}{2}[/tex] or y=[tex]\frac{3}{2}[/tex]x-6

Slope intercept form: y=mx+b

therefor m =[tex]\frac{3}{2}[/tex] and y (0,-6)

Answer:

15.13 cm

Step-by-step explanation:

We are given:

Lateral surface area of a right circular cone : πr√r² + h²

From the question, we know that:

Lateral surface area = 236.64cm²

Radius = 4.75cm

Height = ?

Making h the subject of the formula

h = √[(A/r)² - πr²]/π

h = √[(236.64/4.75)² - π ×4.75²]/π

h = √(2481.9275169 - 70.882184247)/π

h = 15.12975 cm

Approximately to the nearest hundredth = 15.13cm

Answer:

(57.1 miles per hour. )

7.8 hours

Step-by-step explanation:

Answer:

yes, phone companies, are only allowed to charge for the amount of data you use

Step-by-step explanation: