how do I graph the proportional relationship of y=2.25×​

Answer:

(f + g)(3) = 9

Step-by-step explanation:

Given:

f(x) = x² + 1

g(x) = x - 4

Required:

(f + g)(3)

SOLUTION:

✔️Find f(3) by substituting x = 3 into f(x) = x² + 1:

f(3) = (3)² + 1 = 9 + 1

f(3) = 10

✔️Find g(3) by substituting x = 3 into g(x) = x - 4:

g(3) = 3 - 4

g(3) = -1

✔️Find (f + g)(3):

(f + g)(3) = f(3) + g(3)

= 10 + (-1)

= 10 - 1

(f + g)(3) = 9

Answer:

I'm going to chose B sorry if that the wrong answer

Answer:

It's C

Step-by-step explanation:

Answer:

2. 84= 0.84

3. 32%= 8/25

4. 32%= 0.32

Step-by-step explanation:

Answer:

17 ^17

Step-by-step explanation:

Its power is bigger

You shouldn't be tricked because 31 is more than 17

Step-by-step explanation:

Notice that 31 + 1 = 32 = 2⁵ and 17 - 1 = 16 = 2⁴.

31¹³ < 32¹³

= (2⁵)¹³ = 2⁶⁵

= 2(2⁴)¹⁶ = 2 * 16¹⁶

< 16¹⁷ < 17¹⁷.

Hence 17¹⁷ is greater than 31¹³.

Answer:

f(x)=x

Step-by-step explanation:

if its on center (0,0) with no add on then its like that. if it was f(x)= x+2 it would be elevated by 2 points. hope this helps!

Answer:

exponential functions are always the quickest to grow

3^x

Step-by-step explanation:

Answer:

A, B, and C

Step-by-step explanation:

The true statements are B, C and E.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Given is a graph of the amount of water in a bathtub with respect to time.

A) This statement means that the slope of the line at 10 : 01 pm is smaller than that of at 10 : 14 pm.

The line is steeper at 10:01 pm than that at 10:14 pm. That is the tangent of the angle making with the x axis at 10:01 pm is higher than that at 10:14 pm.

So the tub is filling at a faster rate at 10:01 pm than at 10:14 pm.

B) At 10:06 pm, the amount of water is constant at 30 gallons. So this statement is correct.

C) The maximum amount of water in the tub was about 35 gallons is a correct statement since after that the tub was draining.

D) The amount of water in the tub stayed the same from 10:16 pm to 10:20 pm is not correct, since the water was draining during the time and thus, water was decreasing.

E) It took 4 minutes for the tub to drain. It is correct since the draining starts at 10:16 pm and ends at 10:20 pm.

Hence the correct statements are B, C and E.

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Answer:

x= 256

Step-by-step explanation:

[tex]-\frac{5}{8}x=-160\\\\-[-\frac{5}{8}x]=-[-160]\\\\\frac{5}{8}x=160\\\\8[\frac{5}{8}x]=8[160]\\\\5x=1280\\\\\frac{1}{5}[5x]=\frac{1}{5}[1280]\\\\x=256[/tex]

Answer:

x=256

Step-by-step explanation:

Answer:

6 because 6+15=21 and 21+6=27

Step-by-step explanation:

3x-2 when x=4

3(4)-2

12-2

=10

Answer:

A score of 4.2 on a test with a mean of 2.5 and a standard deviation of 1.2 has the highest relative position.

Step-by-step explanation:

Which score has the highest relative position: a score of 38 on a test with a mean of 30 and a standard deviation of 10, a score of 4.2 on a test with a mean of 2.5 and a standard deviation of 1.2 or a score of 432 on a test with a mean of 396 and a standard deviation of 40.

In order to find the solution, we need to calculate the z score value for each test.

The z score formula: [tex]z = \dfrac{\bar{x} -\mu}{s}[/tex] where [tex]\bar{x}[/tex]  is the score, μ is the mean and s is the standard deviation.

Now for test 1:

Put [tex]\bar{x}=38, \mu=30 \text{ and } s=10[/tex] in the above formula.

[tex]z = \dfrac{38 -30}{10}[/tex]

[tex]z = 0.8[/tex]

For test 2:

Put [tex]\bar{x}=4.2, \mu=2.5 \text{ and } s=1.2[/tex] in the above formula.

[tex]z = \dfrac{4.2 -2.5}{1.2}[/tex]

[tex]z \approx 1.417[/tex]

For test 3:

Put [tex]\bar{x}=432, \mu=396 \text{ and } s=40[/tex] in the above formula.

[tex]z = \dfrac{432 -396}{40}[/tex]

[tex]z =0.9[/tex]

Since the z score value of test 2 is greater so a score of 4.2 on a test with a mean of 2.5 and a standard deviation of 1.2 has a highest relative position.

Answer:

n=29

Step-by-step explanation:

Not sure how to write  an equation for it.

But, I did 88 divided by 4 which is 22 then plus 7 29

88/4+7=n that is the best I can think of.

If a number n is decreased by 7 and then the result is multiplied by 4, the product is equal to 88. The equation is 4(n-7)=88 and value of n is 24.

Two or more expressions with an Equal sign is called as Equation.

Given,

a number n is decreased by 7 and then the result is multiplied by 4

Decreased means subtracted, the number seven is subtracted from n, which gives us n-2.

Then n-2 is multiplied by 4

4(n-2)

the product is equal to 88.

4(n-2)=88

Now we need to solve for n.

Apply distributive property on left hand side

4n-8=88

Add 8 on both sides

4n=96

Divide both sides by 4

n=24

Hence the value of number n is 24 and the Equation for sentence is 4(n-7)=88.

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Answer: $1,634.62

Step-by-step explanation:

There are 52 weeks in a year. However, Sean does not get paid every week, he gets paid every other week. 52/2 = 26, thus he gets paid 26 times a year.

His annual salary is 42,500. To figure out his salary in each paycheck, divide the net salary by the number of pay periods per year. In this case 42,500/26.

42500/26 = 1,634.62 (rounded to the nearest cent)

Hey there!

If d = 3 then substitute where “d” is at, now let’s work out the equation!

5(9 + 3) – 6

• DISTRIBUTE:

5(9) + 5(3)

5(9) = 45

5(3) = 15

• NEW EQUATION:

45 + 15 – 6

45 + 15 = 60

60 – 6 = 54

Answer: 54 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

SIDE NOTE:

You could use PEMDAS to solve this as well.

Here’s what it means ⬇️

• Parentheses

• Exponent

• Multiplication

• Division

• Addition

• Subtraction

Answer:

11371.4

Step-by-step explanation:

delta math

The length of n is 11373.1 inches

For given example,

As we know for ΔNOP,

[tex]\frac{n}{sinN}=\frac{0}{sinO}=\frac{p}{sinP}[/tex]

We know that the sum of all angle of triangle is 180°

For ΔNOP,

⇒ ∠N +∠O + P = 180°

⇒ 16° + ∠O + 163° = 180°

⇒ ∠O = 180 - 179

⇒ ∠O = 1°

The length of n is,

[tex]\frac{n}{sinN}=\frac{0}{sin1}\\\\n(sin1)=0(sin16)\\\\0.01745(n)=720(0.27564)\\\\n=\frac{198.4608}{0.01745}\\\\n=11373.112\\\\n\approx 11373.1~in.[/tex]

Therefore, the length of n is 11373. 3 inches

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Answer:

[tex]f(x) = 9x[/tex]

Step-by-step explanation:

Given

The attached table

Required

Rule of the table

First, we calculate the slope(m)

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

Where

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (3,27)[/tex]

[tex]m = \frac{27 -0}{3 - 0}[/tex]

[tex]m = \frac{27}{3}[/tex]

[tex]m = 9[/tex]

The table equation is:

[tex]y - y_1 = m(x - x_1)[/tex]

So, we have:

[tex]y - 0 = 9(x - 0)[/tex]

[tex]y - 0 = 9(x)[/tex]

[tex]y= 9x[/tex]

Hence:

[tex]f(x) = 9x[/tex]

Answer:

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

from

[tex]y = mx + c[/tex]

Step-by-step explanation:

since the gradient of the line is 0

Answer:

768

Step-by-step explanation:

a gallon = 128 fluid ounces so 6 gallons would be 768 fluid ounces

Answer:

Step-by-step explanation:

Answer:

first choice: y≥1/3 x+3 and 3x-y>2

Step-by-step explanation:

The system of linear inequalities is: [tex]y \ge \frac{1}{3}x + 3[/tex] and [tex]3x -y > 2[/tex]

The equation of the orange line is calculated using:

[tex]y = \frac{y_2 - y_1}{x_2-x_1} \times (x -x_1) + y_1[/tex]

This gives

[tex]y = \frac{3- 4}{0-3} \times (x -3) + 4[/tex]

[tex]y = \frac{- 1}{-3} \times (x -3) + 4[/tex]

[tex]y = \frac{1}{3} \times (x -3) + 4[/tex]

Open the bracket

[tex]y = \frac{1}{3}x -1 + 4[/tex]

[tex]y = \frac{1}{3}x + 3[/tex]

The inequality has a thick line, and the upper region is shaded.

So, the inequality is:

[tex]y \ge \frac{1}{3}x + 3[/tex]

The equation of the gray line is calculated using:

[tex]y = \frac{y_2 - y_1}{x_2-x_1} \times (x -x_1) + y_1[/tex]

This gives

[tex]y = \frac{4- 1}{2-1} \times (x -1) + 1[/tex]

[tex]y = \frac{3}{1} \times (x -1) + 1[/tex]

[tex]y = 3 \times (x -1) + 1[/tex]

Open the bracket

[tex]y = 3x -3 + 1[/tex]

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

The inequality has a dotted line, and the right region is shaded.

So, the inequality is:

[tex]y < 3x -2[/tex]

Rewrite as:

[tex]3x -2 > y[/tex]

So, we have:

[tex]3x -y > 2[/tex]

Hence, the system of linear inequalities is:

[tex]y \ge \frac{1}{3}x + 3[/tex] and [tex]3x -y > 2[/tex]

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Answer:

The answer should be $279 If im right if not sorry

Step-by-step explanation:

500 x 2.79% x 20 = 279

Answer:

[tex]a = 6[/tex]

Step-by-step explanation:

subtract 6.6 from both sides and you get the answer

Answer:

Mode

Step-by-step explanation:

The mode is the measure of the central tendency in which the number is appeared many times

As in the given situation

The 100 would be appear 3 times

So this represent the mode

Hence, the mode that measures the central tendency is most close and describe the math test performance

Answer:

the interest amount is $31.50

Step-by-step explanation:

700 multiplied by 0.045 =31.5

Answer:the common difference is 10

The answer is -20,-30,-40

Step-by-step explanation:

Answer:

Now he earns $11.66 per hour.

Step-by-step explanation:

6% raise

This means that now the employees will earn 100% + 6% = 106% = 1.06 of the previous amount they earned, that is, their previous earnings will be multiplied by 1.06.

Paul used to earn $11 an hour now he earns

Multiplying by 1.06

11*1.06 = 11.66

Now he earns $11.66 per hour.

Answer:

QR, QS, Q

Step-by-step explanation:

It is found that Line segment QR is part of Line QS. Point Q is the vertex of angle

A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).

The point of their joint is called vertex of that angle.

If the ray lies onto the considered line segment(overlapping), then it can be said belonging to the considered line segment.

A line segment has 2 fixed ends, whereas a ray has one end only, other end is not fixed.

We can conclude that Line segment QR is part of Line QS. Point Q is the vertex of angle

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Answer:

 G  The coordinates of the y-intercept are (0, 8).

Step-by-step explanation:

An exponential function does not have a vertical asymptote. This one has a horizontal asymptote at y = 0.

The y-intercept is the value of ...

 f(0) = 8(0.25^0) = 8(1) = 8 . . . . . the point (0, 8)

The graph includes the point ...

 (2, f(2)) = (2, 1/2)