For the function ƒ(x) = x2 + 3, what are the outputs for the inputs −3, 2, 0, and 5?

Answer:

45mph.

15 x 3 = 45

20 x 3 = 60

so 60 ÷20 = 3

15 × 3 = 45

since 1 hour is 60 minutes

60 divided by 20 is 3

And 15 miles in 20 minutes times 3 is 45 miles in one hour

Answer:

it's rational

Answer:

rational.

Step-by-step explanation:

If it can be written as a fraction it is rational. If it cannot be written as a fraction it is irrational.

Answer:

It's C. If you divide them you get 1.25 for both of them and its proportional

Answer: 0.15

Step-by-step explanation:

Multiply 0.03 by 5.

Answer:0.15

Step-by-step explanation:

First multiply 3 and 5. Then you will get 15. In the question it says 0.03 and its 2 digit from decimal so in 15 you will put a decimal 2 digit from the left and you will get 0.15

Answer:

the answer is y = -3x + ( -0.25)

Step-by-step explanation:

The equation of a line with a slope of -3 passing through the point (1.25, -4) can be derived by using the point-slope form (y - y1 = m(x - x1)). Substituting the given values, we get the line's equation as y = -3x - 0.25.

The given problem requires us to write the equation of a line in either point-slope form or slope-intercept form. We are provided with a bit of information to get started: the slope of the line (-3) and a point the line passes through (1.25, -4).

The point-slope form of a line's equation is: y - y1 = m(x - x1), where (x1, y1) are coordinates of a point on the line and m is the slope. Substituting the given values, we get y - (-4) = -3(x - 1.25), which simplifies to y + 4 = -3x + 3.75. Finally, rearranging, we get the slope-intercept form: y = -3x - 0.25.

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Answer:

Amount of sales = rs 10,000.

Step-by-step explanation:

He earns 2000 - 1000 =  rs 1000 from sales.

This  equals 10% ( = 0.10 as a fraction) of his sales so his sales must have been  1000 / 0.10

= rs 10,000.

Answer:

22 milliliters

step by step

solution B x 22

20 x 22 = 440 milliliters

Final answer:

Tom uses 1,500 mL of Solution B. By setting up equations using the volume percentage of alcohol in each solution and solving for 'x', the volume of Solution A, we find the required volume for Solution B.

Explanation:

To solve for the volume of Solution B that Tom uses, we first establish the equations based on the information given. Let's denote the volume of Solution A as x mL. Thus, the volume of Solution B will be x + 500 mL. The total amount of pure alcohol in the final mixture is 440 mL.

Using the volume percentage for alcohol content in each solution, we can set up two equations to find x. The first equation is based on Solution A (14% alcohol) and the second on Solution B (20% alcohol):

The total volume of alcohol combined from both solutions is equal to 440 mL, which gives us the equation:

0.14x + 0.20(x + 500) = 440

Solving for x we get:

Since x is the volume of Solution A and we know that Solution B is 500 mL more than Solution A, we calculate the volume of Solution B as follows:

x + 500 = 1,000 + 500 = 1,500 mL

Therefore, Tom uses 1,500 mL of Solution B.

Final answer:

The slope of the line represented by the equation 12x - 8y + 7 = 9 is 3/2. To find this, the equation was rearranged into slope-intercept form, revealing the slope as the coefficient of x.

Explanation:

To find the slope of the line with the given equation 12x - 8y + 7 = 9, you first need to rearrange the equation into slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.

First, subtract 12x from both sides of the equation to isolate terms with y on one side:

-8y = -12x + 2

Next, divide each term by -8 to solve for y:

y = (12/8)x - 2/8

Simplify the fractions:

y = (3/2)x - 1/4

Now the equation is in slope-intercept form, and you can see that the slope m is 3/2 or 1.5. Therefore, the slope of the line is 3/2.

B, i honestly just subtracted them... and got $2.84 and rounded up to $3.00

Answer:

B : $ 3.00

Step-by-step explanation:

Round $6.79 to $7.00 and round $3.95 to $4.00 then do $7.00 - $4.00 = $3.00. You get the answer of B : $ 3.00

Answer:

b ≈ 13.80 in

Step-by-step explanation:

Since the triangle is right use the tangent ratio to solve for b

tan17.71° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{AC}{43.21}[/tex]

Multiply both sides by 43.21

43.21 × tan17.71° = AC, hence

AC = b ≈ 13.80 ( to 2 dec. places )

Answer:

17140

Step-by-step explanation:

The number in the tenths place is 5 or higher so you need to round it up to 17140.

Answer:

17140

Step-by-step explanation:

If the number in the tenths place is 5 or more, round the number up.

Answer:

3x + 5y = 4 or y = -⅗x + ⅘

Step-by-step explanation:

First, find the Rate of change [Slope]:

-y₁ + y₂\-x₁ + x₂ = m

-2 - 1\2 + 3 = -⅗

Apply the Point-Slope Formula, y - y₁ = m(x - x₁), since we are given points. It does not matter which one you choose. NOTE: All negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs:

y + 1 = -⅗(x - 3)

y + 1 = -⅗x + 1⅘

- 1 - 1

_________________

y = -⅗x + ⅘ >> Line in Slope-Intercept Form

If you want it in Standard Form:

y = -⅗x + ⅘

+⅗x +⅗x

____________

⅗x + y = ⅘ [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]

5[⅗x + y = ⅘]

3x + 5y = 4 >> Line in Standard Form

__________________________________________________________

y - 2 = -⅗(x + 2)

y - 2 = -⅗x - 1⅕

+ 2 + 2

________________

y = -⅗x + ⅘ [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]

5[⅗x + y = ⅘]

3x + 5y = 4 >> Line in Standard Form

I am joyous to assist you anytime.

** You see? I told you it did not matter which ordered pair you choose because you get the EXACT SAME RESULT. :]

For this case we must solve the following equation:

[tex]x ^ 3 = 22[/tex]

If we apply cubic root to both sides of the equation, then we eliminate the exponent on the left side:

[tex]\sqrt [3] {x ^ 3} = \sqrt [3] {22}\\x = \sqrt [3] {22}[/tex]

That is the exact solution of the equation. Its decimal solution is given by:

[tex]x = \sqrt [3] {22} = 2.8020[/tex]

ANswer:

The solution to the equation is [tex]x = \sqrt [3] {22} = 2.8020[/tex]

Option B. x = [tex]\sqrt[3]{22}[/tex] is the correct answer, by solving x³ = 22, where we found the cube root of 22. Other options are incorrect.

We will determine a number that, when raised to the power of 3, equals 22.

Therefore, the correct choice is option B. x = [tex]\sqrt[3]{22}[/tex]

Corrected question:

Mr. Yueng graded his students’ math quizzes. Students came up with four different answers when solving the equation [tex]x^{3}[/tex] = 22.

Which answer is correct?

A. x = [tex]22^{3}[/tex]

B. x = [tex]\sqrt[3]{22}[/tex]

C. x = ±[tex]\sqrt[3]{22}[/tex]

D. x = [tex]\sqrt{22}[/tex]

Answer:  nickels = 14, dimes = 42, quarters = 18

Step-by-step explanation:

Let n represent nickels which has a value of $0.05

Let d represent dimes which has a value of $0.10

Let q represent quarters which has a value of $0.25

It is given that:

                       n = n

                      d = 3n

                      q = n + 4

and their total value is $9.40    ⇒     n + d + q = $9.40

Use substitution to find the quantity of nickels:

.05(n) + .10(3n) + .25(n + 4) = 9.40

 5n    +  10(3n) +   25(n+4)   = 940           multiplied by 100

 5n    +   30n   +  25n + 100 = 940          distributed

                            60n + 100 = 940          added like terms

                            60n           = 840          subtracted 100

                                 n           = 14            divided by 60

n = 14

                d = 3n

                   = 3(14)

                   = 42

                                       q = n + 4

                                          = (14) + 4

                                           = 18

Answer:

2 √2

Step-by-step explanation:

2^√(3) =  {(2)³}¹/²

           = (8)¹/² = √8

           =  √2 * 2 *2 = 2 √2

Answer:

$63

Step-by-step explanation:

let x represent Charity B then Charity A = 5x

Sum the two and equate to 378, that is

x + 5x = 378

6x = 378 ( divide both sides by 6 )

x = 63

Thus Charity B received $63

I answered this question already.

Answer:

1 hour

Step-by-step explanation:

set town one equation to  3 + 6x and town two equation to 6+3x

set these two equations equal to each other and solve for x

3 + 6x = 6 + 3x

3x = 3

x = 1

1 hour

Answer:

She stopped to rest for 45 minutes.

Step-by-step explanation:

It's where the line is straight. What's the second question?

Answer:

0.75 (45 mins) for both

Step-by-step explanation:

It's because the rest is the time where no activity is happening (the straight line). That line when measured from its start to end is mins 45 to mins 90, and when subtracted, gives 45 mins. For the initial ride it is from where the line moves upward until it stops. That goes from mins 0 to mins 45 ad when subtracted gives 45 mins.

Answer: I believe first one is 32/99 and the second one is 2 whole numbers and 5/9

Step-by-step explanation:

The number 0.323232... can be written as a fraction 32/99, while the number 2.55555... can be written as the mixed number 2 5/9.

To write 0.323232... as a fraction, you can use the method for converting repeating decimals to fractions. Let's say X = 0.323232... Then 100X = 32.323232..., and subtracting the first equation from the second gives 99X = 32, or X = 32/99.

For the number 2.55555..., we will have our whole number as '2' and we need to convert .55555... into a fraction. Let's use the same method: if Y = .55555..., then 10Y = 5.55555.... Subtracting these gives 9Y = 5, which simplifies to Y = 5/9. So, 2.55555... as a mixed number is 2 5/9.

Learn more about Repeating Decimals here:

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Answer:

I don't actually know the answer to this question please

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$200\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=200\left(1+\frac{0.04}{1}\right)^{1\cdot 5}\implies A=200(1.04)^5\implies A=243.33058048[/tex]

Answer:

Emmett

Step-by-step explanation:

Kira is younger than Nila

So Nila>Kira

Nila is older than Mike and Mike is older than Kira

Nila>Mike>Kira

Nila is younger than Emmett

Emmett>Nila>Mike>Kira

Answer:

Emmett is older

Nila is older than Kira.

Nila is older than Mike.

Nila is younger than Emmett.

Therefore, Emmett is older than Nila.

And if Nila is older than Kira, and Emmett is older than Kira, Emmett is oldest.

Final answer:

The ratio of boys to girls in Mrs. Fronko's class in simplest form is 3:4, obtained by dividing both sides of the given ratio, 6:8, by the greatest common divisor, which is 2.

Explanation:

To find the ratio of boys to girls in Mrs. Fronko's class in its simplest form, we will start with the ratio given, which is 6 boys for every 8 girls. This can be written as 6:8. To simplify ratios, we divide both sides of the ratio by the greatest common divisor. In this case, the greatest common divisor of 6 and 8 is 2. Therefore, we divide both numbers by 2 to find the simplest form of the ratio.

6 ÷ 2 = 3 and 8 ÷ 2 = 4.

After dividing both numbers by 2, the ratio becomes 3:4. This indicates that for every 3 boys, there are 4 girls in Mrs. Fronko's class, and this is the simplest form of the ratio.

Answer:

x=-4 y=2

Step-by-step explanation:

y=-14-9x÷9

6x-5 (14-9x÷9)=-34

6x-(70+45x÷9)=-34

Take LCM

and then do it

Answer:

-4

-----

3

Step-by-step

x1,y1

(4,0),

x2,y2

(-2,8)

y2-y1/x2-x2

8-0/(-2)-4=8/-6= -4

                          -----

                           3

Answer:  4

Step-by-step explanation:

Inversely proportional means xy = k, where k is the constant of proportionality

First, find k when x = 2 and y = 400 ----> 2(400) = k   --> 800 = k

Then, find y when x = 200 (knowing that k = 800)

                                    200y = 800

                                           y = 4

Answer:

The lowest score 4th judge can give this dancer in order for her to move to the semi finals is 7.7.

Step-by-step explanation:

Let x points be the score that 4th judge gave to the dancer.

The first three judges gave the dancer 8.9 points, 7.1 points and 8.3 points.

In total, the dancer got

[tex]8.9+7.1+8.3+x=24.3+x[/tex] points

The average score is

[tex]\dfrac{24.3+x}{4}[/tex]

This average score must be at least of 8 points, so

[tex]\dfrac{24.3+x}{4}\ge 8\\ \\24.3+x\ge 32\\ \\x\ge 32-24.3\\ \\x\ge 7.7[/tex]

The lowest score 4th judge can give this dancer in order for her to move to the semi finals is 7.7.