the square of an integer creates a

Answer/Step-by-step explanation:

Using [tex] f(x) = 3x^2 - 8x + 2 [/tex], simply plug each value of x into the function to get f(x) values.

Thus, when x = -1

[tex] f(-1) = 3(-1)^2 - 8(-1) + 2 [/tex]

[tex] f(-1) = 3*1 + 8 + 2 = 3 + 8 + 2 [/tex]

[tex] f(-1) = 13 [/tex]

[tex] f(0) = 3(0)^2 - 8(0) + 2 [/tex]

[tex] f(0) = 0 - 0 + 2 = [/tex]

[tex] f(0) = 2 [/tex]

[tex] f(1) = 3(1)^2 - 8(1) + 2 [/tex]

[tex] f(1) = 3*1 - 8 + 2 = 3 - 8 + 2 [/tex]

[tex] f(1) = -3 [/tex]

[tex] f(2) = 3(2)^2 - 8(2) + 2 [/tex]

[tex] f(2) = 3*4 - 16 + 2 = 12 - 16 + 2 [/tex]

[tex] f(2) = -2 [/tex]

[tex] f(3) = 3(3)^2 - 8(3) + 2 [/tex]

[tex] f(3) = 3*9 - 24 + 2 = 27 - 24 + 2 [/tex]

[tex] f(3) = 5 [/tex]

The correct table for the function is the last option.

Answer:

-2

Step-by-step explanation:

Given:

Slope formula:

Using the given points:

Answer:

4

Step-by-step explanation:

Answer:

[tex]\huge\boxed{t=-3}[/tex]

Step-by-step explanation:

[tex]9t=10t+3\\\\9t-10t=10t-10t+3\\\\\rightarrow\boxed{-t=3}\\\\\frac{-t}{-1}=\frac{3}{-1}\\\\\boxed{t=-3}[/tex]

Answer:

13,057

Step-by-step explanation:

Answer:

Step-by-step explanation:

None of the other choices

Answer:

x>8 and x<6

Step-by-step explanation:

well first the values of x-7 have to be greater than 1 or, less than -1

because if x-7=-2  then |-2|=2>1  satisfying the equation

so we have

[tex]x-7>1\\\\x-7+7>1+7\\\\x>8[/tex]

and we have

[tex]x-7<-1\\\\x-7+7<-1+7\\\\x<6[/tex]

to graph it it goes from (-∞,6)∪(8,∞)

Answer:

14:40 P.M or 2:40 P.M

Step-by-step explanation:

Mona started making oatmeal cookies at 11:40 A.M. What time did she finish:

Making the dough = 1 hour and 10 minutes (1:10)

Baking all the cookies = 1 hour and 50 minutes (1:50

11:40 + 1:10 = 12:50 P.M

12:50 + 1:50 = 14:40 P.M

She finished making cookies at 14:40 P.M or 2:40 P.M

Answer: Ann = 67 Josh = 60 Claire = 30

Step-by-step explanation: You get the equation 5x+7 = 157. You get the equation because for example, Claire = x then josh = 2x and Ann = 2x + 7. You do all the math and boom! You get the answer :)

The number of stickers collected are:

Ann = 67

Claire = 30

Josh = 60

Given,

Ann, Claire, and Josh collect stickers.

One week, Ann collects 7 more stickers than Josh.

Josh collects twice as many stickers as Claire.

Total tickets collected = 157 stickers.

We need to find out how many stickers each collected.

Let the tickets collected by Ann, Claire, and Josh be A, C, and J.

We can write the following equation:

Ann collects 7 more stickers than Josh.

A = 7 + J _______(1)

Josh collects twice as many stickers as Claire.

J = 2C_______(2)
Total tickets collected = 157 stickers.

A + C + J = 157 ______(3)

Solve the equation (1), (2), and (3).

A = 7 + J _____(1)

J = 2C  _______(2)

A + C + J = 157 ______(3)

Put J = 2C in A = 7 + J

A = 7 + 2C ______(4)

Put (2), (4) in (3)

7 + 2C + C + 2C = 157

7 + 5C = 157

Subtracting 7 on both sides.

7 + 5C - 7 = 157 - 7

5C = 150

Dividing both sides by 5.

C = 30

Putting C = 30 in J = 2C

J = 2x30 = 60

J = 60

Putting J = 60 in A = 7 + J

A = 7 + 60

A = 67

Thus the number of stickers collected are:

Ann = 67

Claire = 30

Josh = 60

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Answer:

10 Ships

Step-by-step explanation:

Khan Academy

The number of ships Astrid can build is 10, assuming she receives the maximum possible amount of wood.

Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes.

Given that:

Astrid receives a delivery of 4 tons of wood each day.

The deliveries can continue for 100 days at most.

At most, she received amount of wood = 4 × 100 tons = 400 tons.

Each ship requires 40 tons of wood.

Number of  ships required = (400÷40) = 10.

Each ship  accommodates 300 sailors.

She have  to build enough ships to accommodate = (300 × 10) = 3000 sailors.

Again, she wants to build enough ships to accommodate at least 2100 sailors.

As 3000>2100;  the number of ships Astrid can build is 10.

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Answer:

[tex](x^{2}-9)(x^{2} -1)[/tex]

Step-by-step explanation:

Step 1: Find what adds to _ and multiples to_

It needs to multiple to the 'c' term or 9

It needs to add to the 'b' term or -10

Step 2: Find the numbers

We know -9 and -1 make 10 and multiple to 9

-9 x -1 = 9

-9 + (-1) + -10

Step 3: Write equation in form a(x-r)(x-s)

a = 1

r = -9

s = -1

Plug in the equation to get the factored form of the equation:

[tex](x^{2}-9)(x^{2} -1)[/tex]

Therefore the factored form of the equation is [tex](x^{2}-9)(x^{2} -1)[/tex]

Quadratic equations are also a type of algebraic fractions that have factors.

The factor of [tex]x^{4} - 10x^{2} + 9 = (x -3)(x + 3)(x - 1)(x + 1)[/tex]

In order to completely factor [tex]x^{4} - 10x^{2} + 9[/tex] we would apply the formula:

a(x-r)(x-s)

To find the variables a, x, r and s, we have to love at the coefficients of [tex]x^{2}[/tex] which is -10 and the term 9 and find out what can we multiply together to give us 9 and add together to give us -10

That would be , -9 and - 1 because:

-9 x -1 = 9

-9 + (-1) = -10

Hence: the value for a = 1

, r = -9  and s = -1

Putting this into the equation:

1(x -(-9)(x - (-1))

Hence, we have:

[tex](x^2-9)( x^{2} - 1)[/tex]

Factorizing the above expression further, we have

[tex](x - 3)(x + 3)(x - 1)(x + 1)[/tex]

Therefore, the factor of [tex]x^{4} - 10x^{2} + 9 = (x -3)(x + 3)(x - 1)(x + 1)[/tex]

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Answer:

Total cost of producing is 2800.

Step-by-step explanation:

Given

Ratio of profit, material cost and production labour is 5:7:13.

Material cost is 840 more than that of labour cost.

To find:

Total cost of producing the article.

Solution:

Cost of producing the article includes material cost and the labour cost.

Profit will not be included in the production cost because profit comes in the picture after the article is sold.

We are given that, the ratio is:

Profit: Material Cost: Production Labour = 5:7:13

So, we can let Material Cost = 7[tex]x[/tex] and

Production Labour = 13[tex]x[/tex]

As per the question statement:

[tex]13x-7x=840\\\Rightarrow 6x=840\\\Rightarrow \bold{x=140}[/tex]

Total cost of producing = Material Cost + Production Labour

Total cost of producing = 7[tex]x[/tex] + 13[tex]x[/tex] = 20[tex]x[/tex] = 20 [tex]\times[/tex] 140 = 2800

So, Total cost of producing is 2800.

Using proportions, we find that: Trevor's family paid $0.03 per minute on shower water.

---------------------------------

This question is solved using proportions.

Thus, the total amount of liters used is:

[tex]L = 72 \times 6 = 432[/tex]

---------------------------------

Thus, the total amount paid was of:

[tex]A = 432 \times 0.2 = 86.4[/tex]

---------------------------------

The amount of dollars per minute is:

[tex]D = \frac{86.4}{2880} = 0.03[/tex]

Trevor's family paid $0.03 per minute on shower water.

A similar question is given at https://brainly.com/question/24342347

Trevor's family paid $ 1.33 per minute on shower water.

Since the house Trevor's family lives in has 6 people (including Trevor) and 3 bathrooms, and in the past month, each person showered for an average of 480 minutes and used an average 72 liters of shower water (over the entire month), and water costs 0.20 dollars per liter, to determine how much did Trevor's family pay per minute on shower water, the following calculation must be performed:

You must multiply the number of liters by its value, and divide that result by the number of minutes that each person consumed, in order to obtain the value per minute on shower water.

Therefore, Trevor's family paid $ 1.33 per minute on shower water.

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Answer:

[tex]f'(x) = 3-2\cdot x[/tex]

Step-by-step explanation:

Let be [tex]f(x) = -x^{2}+3\cdot x[/tex], such that:

[tex]f'(x) = \frac{f(x+h)-f(x)}{h}[/tex]

Hence,

[tex]f(x+h) = -(x+h)^{2}+3\cdot (x+h)[/tex]

[tex]f(x+h) = -(x^{2}+2\cdot x\cdot h + h^{2})+3\cdot x + 3\cdot h[/tex]

[tex]f(x+h) = -x^{2}+(3-2\cdot x) \cdot h - h^{2}+3\cdot x[/tex]

[tex]f(x) = -x^{2}+3\cdot x[/tex]

Then,

[tex]f'(x) = \frac{-x^{2}+(3-2\cdot x)\cdot h-h^{2}+3\cdot x+x^{2}-3\cdot x}{h}[/tex]

[tex]f'(x) = \frac{(3-2\cdot x)\cdot h-h^{2}}{h}[/tex]

[tex]f'(x) = 3-2\cdot x -h[/tex]

If [tex]h \longrightarrow 0[/tex], then:

[tex]f'(x) = 3-2\cdot x[/tex]

Answer:

[tex]\huge \boxed{30\°}[/tex]

Step-by-step explanation:

To find the value of an exterior angle of a regular polygon, we can apply a formula.

[tex]\displaystyle \frac{360}{n}[/tex]

[tex]n = \sf number \ of \ sides[/tex]

[tex]\displaystyle \frac{360}{12}=30[/tex]

Answer:

30°

Step-by-step explanation:

For a regular  n -gon, the measure of an exterior angle is  360 ˚ / n

Since the sides give has  12  sides, (dodecagon)

the exterior angles is  360° / 12 = 30°

Answer:

28 a  −  3 y  +  4

==============================================

Work Shown:

1/10 = 0.1

0.1 mile = 7.2 seconds

1 mile = 72 seconds (multiply both sides by 10)

1/72 mile = 1 second (divide both sides by 72)

3600/72 = 3600 seconds (multiply both sides by 3600)

50 miles = 3600 seconds

50 miles = 1 hour

The car's speed is 50 mph

Note: 1 hour = 60 min = 60*60 = 3600 seconds

Answer:

red one = 1/26

black three = 1/26

six of hearts = 1/52

Answer:B=21

Step-by-step explanation:

it is because combined J an N are 105 across from that is the same so x is 21 because 5(x) = 21 u do 105 divided by 5 to get the answer

Answer and explanation:

Benchmark fractions are fractions that are used as references in measuring other fractions. They are easily estimated and so can be used in measuring more "specific" fractions such as 1/5, 7/9, 3/7, 1/3 etc. If I wanted to measure 1 1/3cm for instance using a calibrated ruler, having centimeter measurements, I would first find 1cm on the ruler and then find half of one centimeter. Seeing that half is bigger than 1/3 but close, I could then estimate 1/3 to be somewhere less than 1/2 but a bit close to it

Answer:

Ur mummm u cheater

Step-by-step explanation:

Answer: 27.958333333333333333333333333333........

Step-by-step explanation: Use long division method or do rounding method round each number and divide.

Answer:

The answer is 27.9583333333

Step-by-step explanation:

24 goes into 67 two times

24+24=48

67-48=19

add back in the 1

how many times does 24 go into 191

it goes into 191 7.9583333333 times

so final answer 27.9583333333 it might be confusing but

Answer:

its 5 cm

Step-by-step explanation:

its what I got off of Khan

The radius of a filled balloon is approximately 5.22 cm.

The volume of a sphere is given by the formula V = (4/3)πr³, where V is the volume and r is the radius.

Let's first find the volume of a filled balloon.

Since Terry can fill a balloon in 6 seconds and the faucet puts out 100 cm³ of water per second, the volume of a filled balloon is:

V = 6 × 100 = 600 cm³

Now we can use the formula for the volume of a sphere to find the radius.

Rearranging the formula, we get:

[tex]r = [\dfrac{3V}{4\pi}]^{(1/3)}[/tex]

Substituting V = 600 cm³, we get:

[tex]r = [\dfrac{3\times600}{4\pi}]^{(1/3)}[/tex]

r ≈ 5.22 cm

Therefore, the radius of a filled balloon is approximately 5.22 cm.

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Answer:

Option B

Step-by-step explanation:

Taking the derivative of the residual function, then applying the normal equation:

[a; b] = (X'*X)^(X'*y)

with

X = [1 1; 2 1; 3 1; 4 1; 5 1]

X' is transpose of X

y = [11; 8; 4; 1; 0]

[a; b] =  [-2.9 13.5]

Answer:

Aaron=110

Betty=210

Step-by-step explanation:

the photo contains the needed working out

Answer:

0.125

Step-by-step explanation:

(5 divided by 8) - ((1 divided by 4) x 2) = 0.125

Answer:

1/8

Step-by-step explanation:

Because of BEDMAS, we first multiply, then subtract.

We multiply 1/4 and 2, getting 2/4, or 1/2.

Then, our expression becomes 5/8 - 1/2.

We can evaluate:

5/8 - 1/2 = 5/8 - 4/8 and simplify, getting 1/8.

Answer:

Option (3)

Step-by-step explanation:

Given polynomial is (x³ - 2x² - 13x - 10).

If (x - 5) is a factor of the given polynomial, other factors can be found by the synthetic division.

5) 1      -2     -13      -10

  -       5       15      10

   1       3       2         0

Therefore, other factor of the given polynomial will be (x² + 3x + 2)

And the factored form of the polynomial will be,

(x - 5)(x² + 3x + 2)

Option (3) will be the answer.

Answer:

hyp=12.76

Step-by-step explanation:

sin36=opp/hyp

hyp=opp/sin36

hyp=7.5/sin36

hyp=12.76 rounded to the nearest hundredth