Determine whether the equation defines y as a function of x. y = 2x + 8

Answers

Answer 1

we have that
y = 2x + 8
for x=1-----------> y=2*1+8=10
for x=2-----------> y=2*2+8=12
for x=3-----------> y=2*3+8=14
.
.
.

the equation y = 2x + 8 ----------- > defines y as a function of x, because for each x there is only one value of y.

the answer is
yes, the equation y = 2x + 8 defines y as a function of x

Related Questions

(6) Check my answer?
Im putting never because a pentagon has 5 sides, 2 of which are not parallel, while a parallelogram is a 4 sided figure with 2 sets of parallel sides

Are a parallelogram and a pentagon always, sometimes, or never similar?
A) always
B) sometimes
C) never****

Answers

Agreed. The figures need to have the same number of sides to have the same shape. Similar figures have the same shape but different sizes.

Two cylinders are similar. The volume of the larger cylinder is 343 ft³ and the volume of the smaller cylinder is 125 ft³. The height of the smaller cylinder is 5 ft.

What is the height of the larger cylinder?

Please show the work

Answers

x = height of larger cylinder

The ratio of the heights can be cubed to get the ratio of the volumes

(x/5)^3 = 343/125

(x^3)/(5^3) = 343/125

(x^3)/125 = 343/125

x^3 = 343

x = (343)^(1/3)

x = 7

The height of the larger cylinder is 7 feet

You drive 70 miles per hour but then slow your speed by 15 miles per hour. You then return to your speed of 70 miles per hour. Which expression shows how your speed changed?

A. -70 + 15 + (-15) C. 70 + (-15) + (-15)
B. 70 + 15 + 15 D.70 + (-15) + 15

Answers

Driving 70 miles per hour.
Slow your speed means decrease in speed= 70+(-15)=70-15=55 miles/ hr
And then return to speed of 70 miles/hr means add 15 miles to the speed.
We get
70+(-15)+15 =70 miles / hr

Option D is correct.

Answer:Option D is correct

Step-by-step explanation:

I had the same problem and I clicked option D and it was correct

The perimeter of a rectangle is 136 ft. The ratio of its length to its width is 9 : 8. What are the dimensions of the rectangle? a. 48 ft by 20 ft b. 40 ft by 28 ft c. 36 ft by 32 ft d.44 ft by 24 ft

Answers

the answer is c. hope this helps.

What are the roots of x2 + 8x – 48 = 0?
show me the work

Answers

x^2 + 8x – 48 = 0
That is a quadratic equation where
a = 1
b = 8
c = -48
We can solve it by using the quadratic formula:
x = [-b +-sq root (b^2 - 4ac)] / 2a
x = [-8 +- sq root (64 -4*1*-48)] / 2*1
x = [-8 +- sq root (256)] / 2
x = [-8 +-16] / 2
x1 = 8 / 2 = 4
x2 = -24 / 2 = -12

What is the classification for this polynomial?

gh^5+2g^3

Choices:
A. Monomial
B. Binomial
C. Trinomial

Answers

keep in mind, that when you encounter an operator like + or -, is a boundary of a term, therefore

gh⁵ + 2g³

first term second term

BI = two.

A pharmacist has an 18% alcohol solution. How much of this solution and how much water must be mixed together to make 10 liters of a 12% alcohol solution?

Answers

Answer:

[tex]6\frac{2}{3}[/tex] of 18%, [tex]3\frac{1}{3}[/tex] water

Step-by-step explanation:

The 18% solution added to the water is equal to the 10 liters of 12% solution.

Let's say that the amount of 18% solution is x

18% of x = 0.18x

Let's say that the amount of water is 10-x

Because there is no alcohol in water, it will be 0(10-x), or just 0

0.18x + 0 = 10•0.12

0.18x = 1.2

x = [tex]6\frac{2}{3}[/tex]

10 - [tex]6\frac{2}{3}[/tex] = [tex]3\frac{1}{3}[/tex]

Final answer:

To make a 10 liter solution of 12% alcohol, you need to mix 6.67 liters of an 18% alcohol solution with 3.33 liters of water.

Explanation:

To make a 12% alcohol solution, we need to mix the 18% alcohol solution with water. Let's assume x liters of the 18% alcohol solution and (10 - x) liters of water.

The amount of alcohol in the 18% solution is 0.18x liters, while the amount in the water is 0 liters. In the final solution, the amount of alcohol is 0.12 * 10 = 1.2 liters.

So, we can set up the equation 0.18x + 0 = 1.2 and solve for x. By solving this equation, we find that x = 6.67 liters. Therefore, 6.67 liters of the 18% alcohol solution and 3.33 liters of water should be mixed to make 10 liters of a 12% alcohol solution.

1. What happens to shadows at sunrise and sunset? How are these shadows different from those cast at noon?

2. Study the information in the table below. What relationship do you see between a planet's speed of rotation and its length of day?

Diameter of planet Speed of Rotation Length of the Day
Planet A 3,000 miles 29 miles/second 24 hours
Planet B 2,990 miles 60 miles/second 14 hours
Planet C 3,020 miles 120 miles/second 8 hours

Answers

1. Shadows during sunrise and sunset are longer than those cast at the noon. The reason is that Sun is low above the horizont. Sunrays come at low angle and this causes long shadows. At the noon Sun at highest point and sunrays come at big angle. This causes the shadows to be short
Also, during sunrise and sunset shadows do not have sharp edge while shadows at noon have sharp edges.

2. We can see that speed of rotation and length of day are inversely proportional. This means that as one rises the other one falls. From the table we can see that faster rotation means shorter day.
Also, we can see that there is no linear connection. Planet C has twice the speed but it does not have half the length of a day.

Quadrilateral ABCD is inscribed in this circle.

What is the measure of angle C?

Enter your answer in the box.

°

Answers

By the Inscribed Quadrilateral Theorem, a quadrilateral can only be inscribed if and only if opposite angles are supplementary. This means that [tex]\angle D \text{ and } \angle B[/tex] are supplementary, or add up to 180°. This gives us the equation
(3x + 9)° + (2x - 4)° = 180°
Combine like terms:
5x + 5 = 180
Subtract 5 from each side:
5x + 5 - 5 = 180 - 5
5x = 175
Divide both sides by 5:
5x/5 = 175/5
x = 35
This means that [tex]m \angle D=3(35)+9=114 \\m \angle B=2(35)-4 = 66 \\m \angle A=2(35) + 3=73[/tex]
We take these 3 angles away from 360 and we will have the measure of angle C:
360 - 114 - 66 - 73 = 107°

The cost of a bagel increases from $0.80 to $1.25. What is the percent of increase?

Answers

1.25-0.8=0.45
0.45/0.8=0.5625
0.5625*100=56.25 percent increase

The percent increase is 56.25%

Work is provided in the image attached.

A circular piece of fabric has a radius of 1.2 feet. The fabric sells for $5.40 per square foot. What is the total cost of the circular piece of fabric? A. $6.48 B. $20.35 C. $24.42 D. $40.69

Answers

the anwser is c. pi times 1.2 cubed is like 4.52, times 5.40 is about 24.42

math help again please

Answers

Binomial has two terms.
Here A and B contains two terms.
C and D polynomials.
Now, In A. 7x^3y-13x^4 Here the highest degree is 4, So exclude option A because it is given that the binomial degree is 3.

We have now option B -2xy^2 - 19. Here degree of binomial is 3.

Answer: Option B

(14x2 - 3x3 + 9x4) - (-14 + 13x3 + 11x4) simplify and answer in standard form

Answers

we have that
(14x2 - 3x3 + 9x4) - (-14 + 13x3 + 11x4)=14x2 - 3x3 + 9x4 +14 - 13x3 - 11x4
(14x2 - 16x3 +14 - 2x4)

then
-2x4-16x3+14x2+14=0--------------> this is the standard form

simplify dividing the entire expression by two
-x4-8x3+7x2+7=0

the answer is
-x4-8x3+7x2+7=0

Write the equation of a line that is perpendicular to y=0.25x-7 and passes through the point (-6,8)

Answers

y=0.25x-7
y=1/4x-7
Slope of this line has a value of 1/4.
We know that k1*k2=-1 (if lines are perpendicular)
Then k2=-4
The equation of the second line is
y=-4x+b
If this line passes through the poin (-6;8), then 8=-4*(-6)+b
8=24+b
b=8-24
b=-16
The equation is y=-4x-16

Final answer:

The equation of a line that is perpendicular to y = 0.25x -7 and passing through the point (-6,8) is y = -4x -16.

Explanation:

In the mathematical realm, a line that is perpendicular to another has a slope which is the negative reciprocal of the original line's slope. The given equation, y = 0.25x - 7, has a slope of 0.25. Thus, the slope of the perpendicular line would be the negative reciprocal, which is -1/0.25 = -4. Now, a line's equation can be written in the form y = mx + b, where m is the slope and b is the y-intercept. Although we now know our perpendicular line's slope, we still need the y-intercept. To find it, we use the formula b = y - mx, substituting in our known slope (-4) and given point (-6,8). After calculation, b = 8 - (-4*-6) = -16. Therefore, the equation of a line that is perpendicular to y = 0.25x - 7 and passes through the point (-6,8) is y = -4x -16.

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Explain how you can classify shapes, using the distance and slope formula. Provide examples to support your response.

Answers

Using the distance formula, you can determine the lengths of the sides of the shape. This will help determine if triangles are equilateral, isosceles or scalene; or if quadrilaterals are squares, rectangles, rhombi, or isosceles trapezoids; or if other polygons are regular polygons. The slope formula will tell help you determine if two sides are parallel. In a quadrilateral, this will help you determine if the figure is a parallelogram or a trapezoid.

Final answer:

Shapes can be classified using the distance and slope formulas by calculating side lengths and verifying perpendicular or parallel lines, as demonstrated in identifying a rectangle through side equality and perpendicularity.

Explanation:

You can classify shapes by using the distance and slope formulas to understand their geometry, such as identifying parallelograms or triangles with equal sides. The distance formula, √((x2-x1)² + (y2-y1)²), helps calculate the exact length between two points, allowing one to discern if sides are equal and hence contributing to classifying the shape. The slope formula, (y2-y1) / (x2-x1), helps determine the incline or decline between two points, which is essential for identifying parallel or perpendicular lines, thus assisting in shape classification.

For example, to classify a quadrilateral as a rectangle, you could calculate the distance between all points to ensure opposite sides are equal and use the slope formula to ensure adjacent sides are perpendicular by checking if the product of their slopes is -1.

Use >, <, or = to compare these numbers.

3.08 m ____ 3.8 m

Answers

3.08 m is less than 3.8. 3.8 is larger than 3.08 because the 08 is what makes it smaller.
~Deceptiøn

3.08 m < 3.8 m

This is because 3.08 is smaller than 3.8.

The circumference of any circle equal to__ times the diabetes.

A. About 3.07
B. About 3.41
C. Exactly 3
D. About 3.14

Can someone please help me I really would appreciate it please.

Answers

3.14 = pi is the relationship of circumference and diameter.

Mr. Franco’s seventh grade science class recorded the daily high temperatures during the month of November. The temperatures are shown in the table What is the lower quartile of the daily high temperatures? a. 26 c. 20 b. 25 d. 28

Answers

To find the lower quartile of the daily high temperatures, arrange the data in ascending order and identify the value that separates the lowest 25%, which is 25.

The lower quartile of the daily high temperatures in Mr. Franco's seventh-grade science class can be found by arranging the temperatures in ascending order and then determining the value that separates the lowest 25% of the data. In this case, the lower quartile is 25.

The equation sin(25o) =9/c can be used to find the length of AB .
What is the length of AB? Round to the nearest tenth.

Answers

c = 9/sin(25)

c = 9/0.4226

c = 21.2958

9/sin(25)

9/0.422618261741

21.29

Allan purchased a zero coupon bond four years ago. He paid $3,000 and it has a face value of $3,500. How much money did he earn for holding the bond until maturity

Answers

Answer: $500

Explanation: The face value of any types of bond is the value of the bond at the time of maturity. So, the value of Allan's zero coupon bond is $3,500 because $3,500 is the face value of the bond he bought.

So the money he earns for holding the bond until maturity is the difference when the face value is subtracted to the cost he paid for the bond. Since

$3,500 - $3,000 = $500

Therefore, Allan earned $500 for holding the bond until maturity.

Avogadro's number is equal to _____. 6.02 x 1025 6.02 x 1023 6.02 x 1010 6.02 x 1022

Answers

The correct answer is: 6.022x10²³

Actually, the more correct answer is its longer version: 6.022140857 × 10²³. Therefore, the correct Avogrado's number is equal to: 6.022x10²³. We use this to relate the molar mass of one substance to the mass of its sample.

A rectangular park is 56 miles wide and 157 miles long. What is the area of the park? Enter your answer in the box as a mixed number in simplest form. plz answer nowPLz!!!

Answers

I believe the answer would be 2 23/42. Sorry, if I am wrong with this answer. Sorry, i also mean the answer should be actually 1 3/7

Answer:

1 3/7

Step-by-step explanation:

just finished the k12 test

if you purchased a camera in British for 100 pounds what would be the price in U.S dollars if one pound is worth $1.40

$71
$100
$140
$1400

Answers

Hello!

1 pound = $1.40

The camera cost 100 pounds. Multiply this by the price in dollars.

100 × 1.40 = 140

ANSWER:

The price of the camera, in U.S dollars, is $140.

I need help with #13 please

Answers

13.) (t⁻⁴)⁻⁹t² Now if the exponents outside of the parenthesis, that means you multiply them. t⁻⁴⁽⁻⁹⁾=t⁴⁵ Next, When it look like this: t⁴⁵ · t², don't multiply! When it comes to this, you had to add the exponents because it has the same base number: t⁴⁵⁺²=t⁴⁷.
Here's your answer to your question, t⁴⁷.

Will use 3/4 cup if olive oil to make 3 batches of salad dressing. How much oil does Will use for one batch of salad dreesing?

Answers

Will uses 1/3 cup of olive oil for one batch of salad dressing, because we can
divide 3/4 by 3 and get 1/3

about how much air would fill a ball with a radius of 16cm

Answers

The volume of a sphere is given by [tex]V=( \frac{4}{3} ) \pi r^{3} [/tex]. Since the radius is 16cm we replace r with 16 to obtain: [tex]V=( \frac{4}{3} ) \pi (16)^{3}=( \frac{4}{3} )(4096) \pi = \frac{16384}{3} \pi [/tex] centimeters cubed.

That's the exact answer. If you divide you get 5,461.3 (with the 3 repeating)

The maximum weight for an elevator is 1600 pounds. You need to move boxes each weighing 40 pounds, and you weigh 145 pounds. Write an inequality that can be used to determine the maximum number of boxes that you can place in the elevator at one time. Assume only you and the boxes are in the elevator.

Answers

Let the weight of one box be X.
Then we find the following:
145 + 40X = 1600
(your weight + the weight of the boxes = maximum weight)

Multiply (7x – 6)(8x +3). A. 56x2 – 27x – 18 B. 12x2 – 50x + 8 C. 56x2 – 18 D. 56x2 – 69x + 18

Answers

You can use the FOIL method to solve: multiply FIRST, multiply OUTSIDE, multiply INSIDE, multiply LAST to help remember to multiply all terms.

=(7x – 6)(8x + 3)
multiply first term by first term, multiply outside by outside, inside by inside, last by last
=(7x*8x) + (7x*3) + (-6*8x) + (-6*3)
multiply terms
=56x^2 + 21x - 48x - 18
combine like terms
=56x^2 - 27x - 18

ANSWER: A) 56x^2 - 27x - 18

Hope this helps! :)

Which of the following shows the graph of a line with a slope of 6/5 and a y intercept of -3?

Answers

Answer:

The correct option is 1.

Step-by-step explanation:

It is given that the slope of the line is 6/5 and y intercept is -3. It means the line must be passes through the point (0,-3).

The slope intercept form of a line is

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

where, m is slope and b is y-intercept.

Substitute m=6/5 and b=-3 in the above equation to find the equation of line.

[tex]y=\frac{6}{5}x+(-3)[/tex]

So, the equation of line is [tex]y=\frac{6}{5}x+(-3)[/tex].

Substitute y=0 in the above equation to find the x-intercept of the line.

[tex]0=\frac{6}{5}x-3[/tex]

Add 3 on both the sides.

[tex]0+3=\frac{6}{5}x-3+3[/tex]

[tex]3=\frac{6}{5}x[/tex]

Multiply both sides by 5.

[tex]15=6x[/tex]

Divide both sides by 6.

[tex]\frac{15}{6}=x[/tex]

[tex]2.5=x[/tex]

The x-intercept of the line is 2.5. It means the line must be passes through the point (2.5,0).

Since only in graph 1, the line passes through the points (0,-3) and (2.5,0), therefore the graph 1 represents the required line and option 1 is correct.

Choose the best decimal to represent 3 5/9

Answers

The decimal equivalent of 3 5/9 is 3.55555...
If the question asks for you to round to the nearest 10th it would be 3.6 and nearest hundredth would be 3.56 and so on.

Conversion of the fraction to decimal gives us; 3.55.....

How to get decimal from fraction?

There are different types of fractions such as;

Mixed Fractions

Improper Fractions

Proper Fractions

We are given the fraction as; 3 5/9

Now, this can also be expressed as:

3 + 5/9

We know that 5/9 when converted to decimal gives:

5/9 = 0.55555....

Approximating gives 0.55....

Thus;

3 + 5/9 = 3 + 0.55....

= 3.55.....

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