Which table represents a nonlinear function?

Answer:

2  

Step-by-step explanation:

8.904x < 18.037     Divide each side by 8.904

         x < 2.026

The largest integer that satisfies the inequality is 2.

Answer:

The interest on a yearly investment start building interest - at the end of the first period.

Step-by-step explanation:

In an ordinary annuity, the interest on a yearly investment start building interest - at the end of the first period.

An ordinary annuity is a series of payments, where all the payments are of the same amount and are paid at the same intervals of time. The interest is calculated at the end of first period.

Answer:

-1, 2, 0.5, 0.5

Step-by-step explanation:

[tex]4x^4 - 8x^3 - 3x^2 + 7x - 2[/tex]

Using synthetic division for x=-1 we find that

-1             4    -8      -3    7   -2

                    -4       12   -9    2

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

              4     -12    9     -2    0

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

Thus quotient is [tex]4x^3 - 12x2 + 9x - 2[/tex]

Again try synthetic division by x-2

2            4    -12    9    -2

                      8   -8     2

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

             4   -4      1       0

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

Thus quotient is [tex]4x^2-4x+1\\=(2x-1)^2[/tex]

Hence zeroes of the polynomial f(x) are

-1, 2, 0.5, 0.5

Answer:

Second half of the question:  Based on the synthetic division shown, 1/2 is DEFINITELY A ROOT of the polynomial.

Step-by-step explanation:

Answer:

Step-by-step explanation:

x=20 or y=20/x

Answer:

going from smaller to larger or less to greater

Answer:

Your answer is (A) $.06/mi

Step-by-step explanation:

Is there another part to this question? What should we answer?

Answer:

i've literally got this same question and i have no idea what to putt

Step-by-step explanation:

Answer:

43.452

Step-by-step explanation:

284 times .153 = 43.452

Answer:

-2, 2

Step-by-step explanation:

they are both the same distance from zero but one is positive and one is negative

Answer:

3- and 3+

Step-by-step explanation:

Basically just have your positive number and have the same number but just it being negative.

Answer:

C) -8.4

Step-by-step explanation:

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

Divide <

10.8 / 0.6

= 18

Subtract <

9.6 - 18

= -8.4

- I.A -

Answer:

its C) -8.4

Hope this helps! :)

So for this, I will be completing the square to solve for x. Firstly, add 10 and subtract 30x on both sides of the equation:

[tex]x^2-30x=10[/tex]

Next, we want to make the left side of the equation a perfect square. To find the constant of this soon-to-be perfect square, divide the x coefficient by 2 and square the quotient. Once you get that result, add it to both sides of the equation:

[tex]30\div 2 = 15\\15^2=225\\\\x^2-30x+225=235[/tex]

Now, factor the left side:

[tex](x-15)^2=235[/tex]

Next, square root both sides:

[tex]x-15=\pm\ \sqrt{235}[/tex]

Now, add 15 to both sides of the equation:

[tex]x=15\pm \sqrt{235}[/tex]

This is the exact solution. To find the approximate solution, solve the left side twice -- once with the plus sign, once with the minus sign:

[tex]x=30.33,-0.33[/tex]

In short:

[tex]x^2-10=30x\qquad\text{subtract 30x from both sides}\\\\x^2-30x-10=0\\\\\text{Use the quadratic formula}\\\\ax^2+bx+c=0\\\\x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a},\ x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\text{We have}\ a=1,\ b=-30,\ c=-10\\\\\text{Substitute.}\\\\b^2-4ac\to(-30)^2-4(1)(-10)=900+40=940\\\\\sqrt{b^2-4ac}=\sqrt{940}=\sqrt{4\cdot235}=\sqrt4\cdot\sqrt{235}=2\sqrt{235}\\\\x_1=\dfrac{-(-30)-2\sqrt{235}}{2(1)}=\dfrac{30-2\sqrt{235}}{2}=15-\sqrt{235}\\\\x_2=\dfrac{-(-30)+2\sqrt{235}}{2(1)}=\dfrac{30+2\sqrt{235}}{2}=15+\sqrt{235}[/tex]

[tex]Answer:\ \boxed{x=15-\sqrt{235}\ and\ x=15+\sqrt{235}}[/tex]

Answer:

C. (5, -3)

Step-by-step explanation:

4x + 3y = 11

x - y = 8  (multiply by 3) --> 3x - 3y = 24

4x + 3y = 11

3x - 3y = 24

---------------------add

7x = 35

 x = 5

5 - y = 8

y = 5 - 8

y = -3

(5, -3)

Answer:

C. (5, -3)

Step-by-step explanation:

Rewrite the first equation.

Multiply the second equation by 3 and write it under the first equation.

4x + 3y = 11

3x - 3y = 24

Now add the equations.

7x        = 35

Divide both sides by 7.

x = 5

Substitute 5 for x in the original first equation:

4(5) + 3y = 11

20 + 3y = 11

3y = -9

y = -3

Solution: (5, -3)

Answer:

2 miles

Step-by-step explanation:

convert 3/4 into 6/8. With this you have a ratio of 6/8 miles to 3/8 hours. Meaning 2/8 mile is equal to 1/8 of an hour. With this you can find that Jacie can swim 2 miles in a hour

Jacie can swim 2 miles in one hour, based on her speed of swimming 3/4 of a mile in 3/8 of an hour.

The student has asked how far Jacie can swim in one hour if she can swim 3/4 of a mile in 3/8 of an hour. To find out how far she can swim in one hour, we need to calculate her swimming speed and then use that speed to determine the distance she can cover in one full hour.

First, we determine Jacie's speed by dividing the distance by the time:

Speed = Distance / Time

Speed = (3/4) mile / (3/8) hour = 2 miles per hour

Now that we know Jacie swims at a speed of 2 miles per hour, we can find out the distance she swims in one hour simply by considering the speed:

Distance in one hour = Speed / Time

Distance in one hour = 2 miles per hour / 1 hour = 2 miles

Therefore, Jacie can swim 2 miles in one hour.

Answer:

The sentence describes this function equation:

y=x-5

Step-by-step explanation:

Every y-value is 5 less than the corresponding x-value:

y=x-5

Answer:

[tex]a_{4}[/tex] = - 2

Step-by-step explanation:

given the term to term rule is subtract 5, then

[tex]a_{2}[/tex] = 13 - 5 = 8

[tex]a_{3}[/tex] = 8 - 5 = 3

[tex]a_{4}[/tex] = 3 - 5 = - 2

The fourth term is -2.

Given that,

Based on the above information, the calculation is as follows:

Second term is

= 13 - 5

= 8

Third term is

= 8 -5

= 3

And, the fourth term is

= 3-5

= -2

Therefore we can conclude that The fourth term is -2.

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Answer:

70°

Step-by-step explanation:

x = [tex]cos^{-1}[/tex]([tex]\frac{3.4}{10}[/tex]) ≈ 70°

Answer:

<BAC= 70 degrees.

Step-by-step explanation:

The given equation to find angle BAC that is x is :

x=[tex]cos^{-1} \frac{3.4}{10}[/tex]

Or ,[tex]x=cos^{-1} 0.34[/tex]

Using calculator to find the arc of cosine0.34 we have :

x=70.1231

This when rounded to nearest whole degree is 70 degrees.

<BAC= 70 degrees.

Answer:

13 Miles

Step-by-step explanation:

This problem could be solved using the Pythagorean theorem.

a² + b² = c²

a = 12    b = 5

12² + 5² = 169

√169 = 13

Therefore, you are 13 miles away from your house!

Final answer:

Each rectangle can be divided into 8 equal parts, allowing [tex]\frac{3}{4}[/tex] and [tex]\frac{5}{8}[/tex] to be expressed with the same denominator for comparison.

Explanation:

To determine how many parts each rectangle can be divided, we need to find a common denominator that allows us to express [tex]\frac{3}{4}[/tex] and [tex]\frac{5}{8}[/tex] using the same size parts. The smallest number that both denominators 4 and 8 can divide into without a remainder is 8. Therefore, the first rectangle can be divided into 8 equal parts, with 6 of those parts being shaded (since [tex]\frac{3}{4}[/tex] is equivalent to [tex]\frac{6}{8}[/tex]). The second rectangle is already divided into 8 equal parts with 5 of those parts being shaded.

Answer:

option D

Step-by-step explanation:

[tex]f(x) = x^2 + 5x + 6[/tex]

[tex]g(x)= \frac{1}{x+3}[/tex]

(fog)(x) = f(g(x))

Plug in g(x) in f(x)

We plug in 1/x+3 in the place of x  in f(x)

[tex]f(g(x))= f(\frac{1}{x+3})= (\frac{1}{x+3})^2 + 5(\frac{1}{x+3}) + 6[/tex]

To simplify it we take LCD

LCD is (x+3)(x+3)

[tex]\frac{1}{(x+3)(x+3)}+5\frac{1*(x+3)}{(x+3)(x+3)}+\frac{6(x+3)(x+3)}{(x+3)(x+3)}[/tex]

[tex]\frac{1}{x^2+6x+9}+\frac{(5x+15)}{x^2+6x+9}+\frac{6x^2+36x+54}{x^2+6x+9}[/tex]

All the denominators are same so we combine the numerators

[tex]\frac{1+5x+15+6x^2+36x+54}{x^2+6x+9}[/tex]

[tex]\frac{6x^2+41x+70}{x^2+6x+9}[/tex]

Option D is correct

Answer:

The correct option choice is D. 6x^2 + 41x + 70 / x^2 +6x + 9

Answer:

C, x = 8 and y = 4

Step-by-step explanation:

Let's isolate y.

x = 2y

Divide both sides by 2.

x/2 = y

Now plug it in to the other equation.

2x + 2(x/2) = 24

Simplify.

2x + x = 24

Simplify.

3x = 24

Divide both sides by 3.

x = 8

Now plug x back into the original equation.

8/2 = y

Simplify.

4 = y

Therefore, the answer is C, x = 8, y = 4.

Answer: For the value of w=4, [tex]14=11+\frac{w}{8}\times 6[/tex] is a true statement.

Step-by-step explanation:

Since, the given expression,

[tex]14=11+\frac{w}{8}\times 6[/tex]

=  [tex]14=11+\frac{6w}{8}[/tex]

=  [tex]14=11+\frac{3w}{4}[/tex]

= [tex]3=\frac{3w}{4}[/tex] ( by subtraction property of equality)

⇒ [tex]=\frac{w}{4}[/tex] ( By division property of equality)

⇒ w=4 ( By multiplication property of equality)

Answer:

w=4

Step-by-step explanation:

Answer: No of Small Dogs = 13 and,

               No of Large Dogs = 9

Step-by-step explanation:

Let us assume,

Small dogs = x and Large dogs = y

The total number of dogs is 22

So the first equation is  x + y = 22

Total grooming sales = $1234

Cost to groom small dogs ( x ) = $43

Cost to groom large dogs ( y ) = $75

So the second equation is will be,

(43 × small dogs) + (75 × Large dogs) = $1234

i.e., 43x + 75y = 1234

To find the value of y, multiply the equation 1 with 43

i.e., 43x + 43y = 946

Now compare and subtract the above equation from equation 2

43x + 75y = 1234

43x + 43y = 946

         32y = 288

             y = 288 ÷ 32

             y = 9

Put the value of y in any equation to find the value of x

Putting the value of y = 9 in equation 1

x + y = 22

x + 9 = 22

x = 22 - 9

x = 13

Therefore, Small dogs = 13

                  Large dogs = 9

The problem is about setting up and solving a system of linear equations representing the number and cost of grooming small and large dogs. You should end up with two equations: x + y = 22 and 43x + 75y = 1234. They can be solved using methods like substitution, elimination, or matrix method.

This question involves setting up and solving a system of linear equations. Let's denote the number of small dogs as x and the number of large dogs as y. The total number of dogs is 22, so we can write the first equation as x + y = 22. The total amount charged is $1,234, so the second equation, considering the cost of grooming each small and large dog, is 43x + 75y = 1234.

Now you need to solve this system of equations to determine the number of each type of dog. This can be done using various methods such as substitution, elimination, or matrix methods.

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Answer:

I got you :)

Step-by-step explanation:

okay so if the hat is 9$ there is only 56$ left . it says the shoes are twice as much as the shirt , so i just went in and seen how much ill have left if i split it all. So i said 32$ for the shoes , because half of 32$ for shoes would mean 16$ for the shirt which would be 48. Then it says the sunglasses are half as much as the shirt and half of 16 is 8. When we add 32+16+8+9 we get 65$.

Answer:

6 hours

Step-by-step explanation:

200mph

1200 miles

200X=1200

X=6

Answer:

<

Step-by-step explanation:

2*18-18=18

2*[28-3*(2+4)] = 20

18<20

Answer:

symbol is <

Step-by-step explanation:

evaluate the left and right sides for comparison

left = (2 × 18 ) - 18 = 36 - 18 = 18

right = 2[28 - (3 × 6) ] = 2[28 - 18] = 2 × 10 = 20

18 < 20

hence replace ? with <

Answer:

4 is the answer

Step-by-step explanation:

Answer:

56 packs

Step-by-step explanation:

just divide

Answer:

Step-by-step explanation:

Pru, Piper, Phoebe ratio 5:3:4vadded = 12

What this means is Pru has 5/12 of the total amount, Piper has 3/12 of the total amount, and Phoebe has 4/12 of the total amount of spices.

pru = piper + 24

5/12x = 3/12x + 24

5/12x - 3/12x = 24

2/12x = 24

x = 24 / (1/6)

x = 24 * 6

x = 144 spices in total

Pru has : 5/12(144) = 720/12 = 60 spices

Piper has : 3/12(144) = 432/12 = 36 spices

Phoebe has : 4/12(144) = 576/12 = 48 spices

I hope this can help.

Answer:

48

Step-by-step explanation:

Pru, Piper, and Phoebe share spices in the ratio 5:3:4

5+3+4=12

So Pru has 5/12 share of spices, Piper has 3/12 share of spices, and Phoebe has 4/12 share of spices.

If Pru has 24 more spices than Piper, (5/12 - 3/12)=2/12 share of spices =24

Total spices = 24x12/2 = 144

Phoebe has 4/12x144 = 48 spices