Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.
f(−1) =
f(1) =
f(2) =

[tex] \sf \: ( - 12 )\times( - 4) + (- 8 )+ (+ 3) \\ \sf \: = (- 12 \times - 4 )+ (- 8 + 3) \\ \sf \: = 48 - 5 \\ = 43[/tex]

Hope it helps.

RainbowSalt2222

Answer:

22 is the correct answer of your question hope it helps you

Answer:

156,567

Step-by-step explanation:

782,835 ÷ 5 = 156,567

Answer:

it is 165,567

Step-by-step explanation:

u divide

Answer:

Below

Step-by-step explanation:

Sale price of each tire : $92.99 - $20 = 72.99. The cost of x tires is 72.99x

If the sales tax is 4% there is an additional (72.99x)(1.04)

Here is the equation

= (72.99)(1.04) t

If Patrick bought 8 tires.....

= (72.99)(1.04)(8)

= $607.2768

Hope this helps!

Question 8

a^2 + 7a + 12

= (a+3)(a+4)

When factorising a quadratic, the product of the two factors should equal the constant term (12), and the sum of the two factors should equal the linear term (7). To find the two factors, list out the factors of 12 (1x12, 2x6, 3x4) and identify the pair that adds up to 7 (3+4).

An alternative method if you get stuck during your exam would be to solve it algebraically using the quadratic formula and then write it in the factorised form.

a = (-7 +or- sqrt(7^2 - 4(1)(12)) / 2(1)

= (-7 +or- sqrt(1))/2

= -3 or -4

These factors are the negative of the values that would go in the brackets when written in factorised form, as when a = -3 the factor (a+3) would equal 0. (If it were positive 3 instead, then in the factorised form it would be a-3).

Question 10

-3(x - y)/9 + (4x - 7y)/2 - (x + y)/18

Rewrite each fraction with a common denominator so you can combine the fractions into one.

= -6(x - y)/18 + 9(4x - 7y)/18 - (x + y)/18

= (-6(x - y) + 9(4x - 7y) - (x + y)) /18

Expand the brackets and collect like terms.

= (-6x + 6y + 36x - 63y - x - y)/18

= (29x - 58y)/18

= 29/18 x - 29/9 y

Answer:

Does the answer help you?

Answer:

102 cm³

Step-by-step explanation:

Volume of R1:

length = 7 cm

Width = 3 cm

Height = 2 cm

Volume = 7* 3  * 2 = 42 cm³

Volume of R2:

length = 5 cm

Width = 4 cm

Height = 3 cm

Volume = 5 * 4 * 3=  60 cm³

Volume of the figure = 42 + 60 =  102 cm³

Step-by-step explanation:

Hi there!

Given;

(x-9)² = 81........(i)

Take whole square right side;

(x-9) = ±√(81)

(x-9) = ±9

Therefore, the answer is option A.

Hope it helps!

Answer:

9

Step-by-step explanation:

if we divide it my 9 we will get 927,998.666667

Answer: greatest number which should be replace m= 8

Except number 9, ; 2,5.and 8 can replace m so that the number 5567m92 is divisible by 6( Here greatest among all is 8 so 8 is your answer)

Step-by-step explanation:

5567292 is divisible by 6.

5567592 is divisible by 6.

5567892 is divisible by 6.

Answer:

5.6 km/hr 8500 n

so 1 km/hr 1517.857 n

Step-by-step explanation:

Answer:

The formula for the slope is:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Assign each given point to a variable:

Substitute in the values into the formula:

[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{11-7}{5-(-3)}=\frac{4}{8} =\frac{1}{2}[/tex]

Therefore, the slope is 1/2.

Answer:

1/2

Step-by-step explanation:

The formula for slope: [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

Plug in:

[tex]\frac{11-7}{5-(-3)}[/tex]

11 - 7 = 4

5-(-3)

5 + 3 = 8

4/8 = 1/2

The slope is 1/2.

Hope this helped.

Answer:

Following are the responses to the given question:

Step-by-step explanation:

The following relationships usually have a direct or inverse relationship, please indicate.

Answer:

False

Step-by-step explanation:

It only cuts the risk as stated and other factors such as lifestyle, age, bloodpressure and past medical background also have an impact so you can still have heart issues.

Step-by-step explanation:

Her father is 34 years old

Answer:

Height of tree 3 years ago: 24 inches

Height of tree now: 54 inches

54-24 = 30

The tree grew 30 inches in 3 years.

So on average it grew 10 INCHES PER YEAR.

Let me know if this helps!

Answer:

(C) 10 inches per year

Step-by-step explanation:

54-24 = 30 inches in 3 years

30/3 = 10 inches per year

Answer:

A)

Step-by-step explanation:

The inter quartile range is determined by the formula Third quartile -  first quartile.

In a set, an inter quartile range is a measure of where the bulk of the data's lie

answer:

-1

here's the explanation below :))

Answer:

40 girls 20 boys i think / guess

Step-by-step explanation:

Answer:

20/40

Step-by-step explanation:

i hope it help

Answer:

Tina's age = 2 years

Step-by-step explanation:

Tina's age = x

Michelle's age = 3 * x = 3x

Tina is 4 years younger than Michelle.

x = 3x - 4

Add 4 to both side

x +4 = 3x

Subtract x from both sides

4 = 3x - x

4 = 2x

Divide both sides by 2

4/2 = x

2 = x

Tina's age = 2 years

Answer:

no

Step-by-step explanation:

We can determine if they are equivalent if the cross products are equal

11          2

----- = ------

9            1

11*1 = 2*9

11 = 18

This is false so the ratios are not equivalent

Answer:

[tex]69.8[/tex]

Step-by-step explanation:

order of operations can be abbreviated as GEMDAS 1. Groups 2. Exponents 3. Multiplication and Division 4. Addition and Subtraction

So start by writing out the equation

[tex]7.8+6.2*(4-1.5)*4[/tex]

Slove anything grouped with parenthesis or other grouping symbols

[tex]7.8+6.2*(2.5)*4[/tex]

There are no exponents so skip to Multiplying and Dividing

[tex]7.8+15.5*4[/tex]

[tex]7.8+62[/tex]

Then Addition and Subtraction

[tex]69.8[/tex]

(also I already know that most people write it as PEMDAS as in parenthesis instead of groupings but I personally prefer to abbreviate it as GEMDAS and that is an opinion for a reason)

Answer:

See below

Step-by-step explanation:

40% own neither, it means 100% - 40% = 60% own either a dog or a cat.

Since 45% own a dog, 60% - 45% = 15% own a cat but not a dog.

Since 25% own a cat and 15% own only a cat, 25% - 15% = 10% own a dog and a cat.

Now, 10% out of 45% own both pets, 45% - 10% = 35% own only a dog.

All the numbers reflected in the attached Venn diagram:

Answer:

Step-by-step explanation:

The perimeter formula is P = 2L + 2W. If the perimeter is given as 68 feet, then our P will be filled in with 68. If the length is "5 inches shorter than twice the width" is an expression that looks like this, keeping in mind that "shorter" means subtraction, "twice" means doubled, and the word "is" means equals:

L = "length is"

2W is "twice the width"

5 inches shorter is " - 5". Putting it all together:

L = 2W - 5. Now we can fill in the perimeter formula:

68 = 2W + 2(2W - 5) and

68 = 2W + 4W - 10 and

68 = 6W - 10 and

78 = 6W so

W = 13. The width is 13 inches and the length is

L = 2(13) - 5 so the length is

L = 21 inches.

Answer:

4

Step-by-step explanation:

Answer:

the amount he borrowed from b is 540

Yes

Step-by-step explanation:

I believe so. Hope this helps

Answer:

60⁰ is the answer. akksjdjd

Answer:

21 inches tall

Step-by-step explanation:

Let x represent the height of the kakapo.

Create an equation to represent this situation, and solve for x:

45 = 5x - 60

105 = 5x

21 = x

So, the kakapo is 21 inches tall.

Answer:

Step-by-step explanation:

bsahaahaaana

Hi there!

check the pic

#YoghurtCup!

Answer: F

Step-by-step explanation:

Put all numbers with 1 exponent.

[tex](\sqrt{8^4} *\sqrt{6^4} )^{\frac{3}{2} }\\\\=(2^{\frac{3*4}{2} }*(2^{\frac{4}{2} }*3^{\frac{4}{2}} )\ )^{\dfrac{3}{2} }\\\\\\=(2^6*2^2*3^2)^{\dfrac{3}{2} }\\\\=2^{8*\frac{3}{2} }*3^{2*\frac{3}{2}} \\\\\\\boxed{=2^{12}*3^3}\\\\\\Answer\ F[/tex]