Given a function described as the equation y= 4x - 4, what is y when x is 1, 2, and 3?A 2, 8, 16B 4,8, 12C 0,4,8D 0, 6, 12

Answers

Answer 1

Answer

C. 0, 4, 8

Explanation

Given function:

y = 4x - 4

What to find:

To find y when x = 1, 2, and 3

Step-by-step solution:

When x = 1

y = 4(1) - 4

y = 4 - 4

y = 0

When x = 2

y = 4(2) - 4

y = 8 - 4

y = 4

When x = 3

y = 4(3) - 4

y = 12 - 4

y = 8


Related Questions

Determine if the following lines are parallel (never intersect), perpendicular (intersect at a 90 degree angle), intersecting (intersect at just one point), or coinciding (intersect at all points)?y = -x + 11, 2y = -2x + 22

Answers

Given

The lines,

[tex]\begin{gathered} y=-x+11\text{ \_\_\_\_\_\lparen1\rparen} \\ 2y=-2x+22\text{ \_\_\_\_\_\_\lparen2\rparen} \end{gathered}[/tex]

To find:

Whether the lines are perpendicular, coinciding, intersecting or parallel?

Explanation:

It is given that,

[tex]\begin{gathered} y=-x+11\text{ \_\_\_\_\_\lparen1\rparen} \\ 2y=-2x+22\text{ \_\_\_\_\_\_\lparen2\rparen} \end{gathered}[/tex]

That implies,

Since the slope of the two lines are,

[tex]\begin{gathered} m_1=-1 \\ m_2=\frac{-2}{2}=-1 \\ \therefore m_1=m_2 \end{gathered}[/tex]

Hence, the two lines are parallel.

why you can always solve a right triangle if you know the measures of one side and one acute angle.

Answers

In a right triangle, one angle is always 90.

If you know one acute angle, you automatically know the other (3rd) angle.

3 angles are solved.

Now, comes the sides.

If you already know 1 side, you can easily know another side by using the basic trig identities SIN, COS, or TAN.

When you know 2 sides, the 3rd side can always be find using:

• pythagorean theorem, or

,

• again, trigonometric ratios (sin, cos, tan).

Match each expression with its translation.1. 3 na number increased by three2. a +3the quotient of three and a number3. Y-3three times a number4. 3 = xthree subtracted from a number

Answers

A number increased by three:

Every time we read a number, it's an unknown value represented with a letter (x,y, a,n)

increased by three means t

Question 1 4 pts Match each quadratic expression that is written as a product with an equivalent expression that is expanded. A. (x + 2)(x + 6) [Choose ] [Choose ] B. (2x + 3)(x + 2) 2x^2 + 10x + 12 X^2 + 12x + 32 C. (X + 8)(x + 4) x^2 + 8x + 12 2x^2 + 12x + 16 D. (x + + 2)(2x + 6) [Choose ]

Answers

(x +2) (x +6) ------> x^2 +8X + 12

(2x + 8) (x +2) -------> 2x^2 +12x + 16

(x +8) (x+4) ------------> x^2 +12x +32

(x + 2) (2x+6) ----------> 2x^2 +10x +12

DEF is a right triangle. If FE= 12 and DE= 5, find DF.

Answers

Answer:

DF = 13

Explanation:

The Pythagoras theorem says that

[tex]FE^2+ED^2=DF^2[/tex]

Now in our case,

FE = 12

ED =

a portion of the graph of f(x) = -x^2 - 2x +8 is shown. which of the following describes all solutions for f(x)?

Answers

Given the function:

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

Let's determine the expression which describes the solution for f(x).

From the graph, we can see the x-values go from -5 to 3.

The expression which describes the solution will be:

[tex](x,-x^2-2x+8),where-5\leq x\leq3[/tex]

ANSWER:

[tex](x,-x^{2}-2x+8), where-5\leqslant x\leqslant3[/tex]

What it 3 1/8 + 3/4?

Answers

The given expression is:

[tex]\begin{gathered} 3\frac{1}{8}+\frac{3}{4}=3\frac{1+6}{8} \\ =3\frac{7}{8} \end{gathered}[/tex]

Therefore, the value of the expression is:

3 7/8

.

Which of the following statements is not true based on the given graph?abd0OlbicasbCO

Answers

The Solution.

From the given number line graph, we can see clearly that the following option are true.

[tex]undefined[/tex]

The only option that is not true is

[tex]undefined[/tex]

Students were divided into 10 teams with 12 on each team. later, the same day students were divided into teams with 3 on each team. how many teams were there then?

Answers

At first, the students were divided into 10 teams with 12 on each of them; we can write this as:

team 1 = 12 students

team 2 = 12 students

team 3 = 12 students

team 4 = 12 students

team 5 = 12 students

team 6 = 12 students

team 7 = 12 students

team 8 = 12 students

team 9 = 12 students

team 10 = 12 students

Sum up the number all the students and this adds up to: 120 students.

Then, the question says these 120 students were divided into teams with 3 students on each team.

This time the number of teams created will be more.

team 1 = 3 students

team 2 = 3 students

teams 3 = 3 students

...

And so on.

In order to get the number of teams, we simply divide the number of students by the number of students in a team.

[tex]\frac{120}{3}=40\text{ teams}[/tex]

Therefore, the number of 3 person teams are 40 teams

9. Madison needs $10 000.00 in 16 years at an interest rate of 3 %/a compounded monthly. How much should she invest?

Answers

SOLUTION:

Case: Compound interest

Method:

The formula is:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

P =?

A= $10 000.00

n = 12

r = 3% or 0.03

t = 16 years

[tex]\begin{gathered} 10000=P(1+\frac{0.03}{12})^{12\times16} \\ 10000=P(1.0025)^{192} \\ 10000=P\times1.6151 \\ P=\frac{10000}{1.6151} \\ P=6191.54 \end{gathered}[/tex]

Final answer: To the nearest cent

She should invest $6191.54

You pick a card at random.
1 2 3 4
What is P(factor of 24)?
Write your answer as a percentage rounded to the nearest tenth

Answers

Answer:

100%

Step-by-step explanation:

All of the numbers are factors of 24. So, picking a factor of 24 is guaranteed, so the probability is 1.

This is equal to 100%.

A traffic light weighing 16 pounds is suspended by two cables (see figure). Find the tension in each cable. (Round your answers to one decimal place.) lb (smaller value) lb (larger value)

Answers

Step 1: Draw an image to illustrate the problem

Consider the forces along the horizontal axis.

[tex]\begin{gathered} -T_1\cos \theta_1+T_2\cos \theta_2=0 \\ \text{ therefore} \\ T_2\cos 20^0=T_1\cos 20^0 \end{gathered}[/tex][tex]\text{ Dividing both sides by }\cos 20^0[/tex][tex]\begin{gathered} \frac{T_2\cos20^0}{\cos20^0}=\frac{T_1\cos 20^0}{\cos 20^0} \\ \text{thus} \\ T_2=T_1 \end{gathered}[/tex]

Consider the forces along the vertical axis.

[tex]\begin{gathered} T_1\sin 20^0+T_2\sin 20^0-16=0 \\ T_1\sin 20^0+T_1\sin 20^0-16=0\text{ (}T_1=T_2) \\ \text{ Thus} \\ 2T_1\sin 20^0=16 \\ T_1=\frac{16}{2\sin 20^0}\approx23.39\text{ pounds} \end{gathered}[/tex]

then T₁ = 23.39 pounds

Since T₁=T₂, then T₂ = 23.39 pounds

Hence, smaller value = 23.4 pounds to one decimal place and

larger value = 23.4 pounds to one decimal place

all you need is in the photo please answer fast please helpppppp DON'T DO STEP BY STEP PUT ONLY THE ANSWER PLEASEEEEEEEEEEEEEEEEEEEEE

Answers

Notice that since the residuals are varying from -1 to 1 without a pattern, we have that the line is not a good fit for the data.

Also, some residuals (for 0, 2, 4 and 6) are relatively large compared to the actual data values.

find a b c d e f from the picture

Answers

Given data:

The value of a is (3+4+2)=9

The value of b is (5+1+2)=8

The value of c is (1+8+1)=10

The value of d is (

What number is 3/4 of 17

Answers

3/4 of 17 is equal to the product of 3/4 times 17, that is,

[tex]\frac{3}{4}\times17=\frac{3\times17}{4}[/tex]

which gives

[tex]\frac{3\times17}{4}=\frac{51}{4}[/tex]

in decimal form, the answer is 12.75.

what is 1 5/8 + 2 1/3=

Answers

Answer:

1 5/8 + 2 1/3

= 3 23/24

Explanation:

1 5/8 + 2 1/3

= 1 + 2 + 5/8 + 1/3

= 3 + 23/24

= 3 23/24

What percent of 60 is 39?

Answers

Answer:

To find the percent of 60 is 39

Let x be the percent of 60 is 39,

we get,

[tex]\frac{x}{100}\times60=39[/tex]

Solving this, we get

[tex]x=\frac{39\times10}{6}[/tex][tex]x=65[/tex]

Hence 65 percent of 60 is 39.

Answer is: 65%

You have two spinners each with three sections of equal size labeled with numbers 1,2,3. You spin both and observe the numbers. Let x be the sum of the two numbers. Find the probability distribution for X.

Answers

From the given problem with two spinners with three sections of equal size labeled as 1, 2, and 3.

Spinner 1 : 1 2 3

Spinner 2 : 1 2 3

The sum is as follows :

1+1 = 2

1+2 = 3

1+3 = 4

2+1 = 3

2+2 = 4

2+3 = 5

3+1 = 4

3+2 = 5

3+3 = 6

There are 9 total outcomes

There are (1) 2,

(2) 3's

(3) 4's

(2) 5's

and

(1) 6

and their corresponding probability can be calculated by :

[tex]\text{probability}=\frac{\text{ quantity}}{\text{ total quantity}}[/tex]

Probability of 2 = 1/9

Probability of 3 = 2/9

Probability of 4 = 3/9 or 1/3

Probability of 5 = 2/9

Probability of 6 = 1/9

Construct the probability distribution :

To check if your probability distribution is correct.

The sum of P(X) must be equal to 1

1/9 + 2/9 + 1/3 + 2/9 + 1/9 = 1

Therefore the distribution is correct.

If an item is discounted 30% then what percent of the original price is the sale price? if the organal price of the item is $500 what is the dollar amount of the discount?how much is the sale price ?

Answers

a.) Discount = 30%

Percent of the original price on sale = 100% - 30% = 70%

b.) Original price = $500

Discount = 30%

Dollar amount of the discount = $500 x (30% / 100%) = $500 x 0.30 = $150

c.) The sale price = $500 - (Discount Amount) = $500 - $150 = $350

. Math and Science During winter months, freshwater fish sense the water getting colder and swim to the bottoms of lakes and rivers to find warmer water. If a fish 7 swims of the depth of a 32-foot deep lake, how many feet down did the fish swim?[tex]51[/tex]

Answers

The total depth of the lake is:

[tex]32\text{ ft}[/tex]

And we need to find how many feet are 7/8 of the depth.

To find how much is 7/8 out of 32 ft what we do is multiply 32 by 7/8:

[tex]32\times\frac{7}{8}[/tex]

This multiplication can also be represented as follows:

[tex]\frac{32}{8}\times7[/tex]

We start by solving the division:

[tex]4\times7[/tex]

and finally, we solve the multiplication:

[tex]4\times7=28[/tex]

-->the fish swam 28 ft.

Answer: 28 ft

if RS=2x+6 ST=x+4 and RT= 40 Find RS

Answers

RS + ST = RT

Substituting with data,

2x + 6 + x + 4 = 40

(2x + x) + (6 + 4) = 40

Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures θ radians (where 0≤θ<2π). The circle's radius is 2 units long and the terminal point is (−1.79,−0.89).The terminal point is how many radius lenghts to the right of the circle's center?h= radii   Then, cos−1(h)=Does the number we get in part (b) give us the correct value of θ? Therefore, θ=

Answers

Given the terminal point ( -1.79 , -0.89 )

So, the x- coordintes = -1.79

[tex]\begin{gathered} \theta=\cos ^{-1}h \\ \\ h=-\frac{1.79}{2} \\ \\ \theta=\cos ^{-1}(-\frac{1.79}{2})=206.5^o \end{gathered}[/tex]

Graph the equation. y = 2x 20 N 18 16 14 12 10 8 6 4 N. 0 1 2 3 4 ул 6 10 2. y = 2x

Answers

Make a table, and give values to x.

Solve the equation and obtain y values.

Graph the points and join them:

x = 0

y= 2x = 2 (0) = 0

x= 2

y= 2(2) = 4

x= 4

y= 2(4) = 8

Graph:

A right triangle is shown in the graph.

right triangle on coordinate plane with hypotenuse labeled t and one endpoint of hypotenuse at r comma s and the other endpoint at x comma y, vertical line from point x comma y and horizontal line from r comma s that meet at right angle of triangle, horizontal dotted line from point r comma s to point s on y axis, horizontal dotted line from point x comma y to point y on y axis, vertical dotted line from point r comma s to point r on x axis, and vertical dotted line from right angle to point x on x axis


Part A: Use the Pythagorean Theorem to derive the standard equation of the circle with center at (r, s) and a point on the circle at (x, y). Show all necessary math work. (3 points)

Part B: If (r, s) = (7, –4) and t = 10, determine the domain and range of the circle. (4 points)

Part C: Is the point (9, 1) inside the border of the circle if (r, s) = (7, –4) and t = 10? Explain using mathematical evidence. (3 points

Answers

Part a: The standard equation of circle: (x - r)² + (y - s)² = t².

Part b: Domain = {17, -3} and Range = {-14, 6}.

Part c: Point (9, 1) lies inside the circle.

What is termed as the Pythagorean Theorem?The Pythagorean theorem, or Pythagorean theorem, explains the relation between the three sides of such a right-angled triangle. The the hypotenuse's square is equal to the total of the squares of the remaining two sides of a triangle, according to Pythagoras' theorem.

For the given question,

The right triangle are given with two of ts vertices as (r, s) and (x, y).

The distance between these two points is 't'.

Part a: The standard equation of the circle.

Centre of circle = (r,s) and

Point on the circle = (x, y)

Using Pythagorean Theorem,

(x - r)² + (y - s)² = t²

Thus, the standard equation of the circle is (x - r)² + (y - s)² = t²

Where, t is the radius of the circle.

Part b: Domain and range.

(r, s) = (7, –4) and t = 10,

For x values in the domain  r ± t and y values in the range s ± t, the circle would be defined.

Domain = 7 ± 10 = {17, -3}

Range = -4 ± 10 = {-14, 6}

Part c: Point (9, 1) lies inside or not.

(r, s) = (7, –4) and t = 10

Point (9, 1) = (x, y)

Put the values;

(x - r)² + (y - s)² ≤ t²

(9 - 7)² + (1 + 4)² ≤ 10²

2² + 5² ≤ 10²

4 + 25 ≤ 100

29 ≤ 100

Thus, the points (9, 1) lies inside the circle.

To know more about the Pythagorean Theorem, here

https://brainly.com/question/21332040

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a normal distribution with u= 40 with o=4 what is the probability of selecting a score greater than x=44?

Answers

We have the following information:'

[tex]\begin{gathered} \mu=40 \\ \sigma=4 \\ x=44 \end{gathered}[/tex]

We want to calculate the following probability:

[tex]P(X>44)[/tex]

then, using the information that we are given, we havE:

[tex]P(X>44)=P(X-\mu>44-40)=P(\frac{X-\mu}{\sigma}>\frac{44-40}{4})=P(\frac{X-\mu}{\sigma}>1)[/tex]

since:

[tex]Z=\frac{X-\mu}{\sigma}[/tex]

we have the following:

[tex]P(X>44)=P(Z>1)=0.1587[/tex]

therefore, the probability of selecting a score greater than 44 is 15.87%

Divide. −3.52−2.2 What is the quotient

Answers

The quotient of - 3.32 / - 2.2 is 8 ÷5.

What is the quotient?

Given fraction:

-3.32 / -2.2

First step is to re-write the given fraction which is - 3.52 / - 2.2

3.52 / 2.2

Second step is to convert the decimal to fraction

352 ÷ 100 / 22 ÷10

Third step is to reduce the fraction

reducing 352/100

=(2^5 × 11)/(2^2 × 5^2)

= [(2^5 × 11) ÷ 2^2] / [(2^2 × 5^2) ÷ 2^2]

= (2^3 × 11)/5²

= 88/25

Reducing 22/10

Divide the numerator and denominator by the greatest common divisor

= 22 ÷ 2 / 10 ÷ 2

= 11 /5

Now let determine  or find the quotient

88 ÷ 25 × 11 ÷ 5

= 8 ÷ 5

Therefore we can conclude that 8 ÷ 5 is the quotient.

Learn more about quotient here: https://brainly.com/question/11418015

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The probability that the degree is not a bachelor's given that thr recipient Is male is

Answers

Answer

Probability that the degree is not a bachelor's given that thr recipient Is male = 0.36

Explanation

The probability of an event is calculated as the number of elements in the event divided by the total number of elements in the sample space.

For this question,

Number of degrees that are not bachelor's degree given to a male = Number of associate's degree given to a male = 239

Total number of males = 239 + 427 = 666

Probability that the degree is not a bachelor's given that thr recipient Is male = (239/666)

= 0.36

Hope this Helps!!!​

9(11 - x) = 3(3x -9) what is x

Answers

x = 7

Explanation:

9(11 - x) = 3(3x -9)

Expanding the expression:

9(11) - (9x) = 3(3x) -3(9)

99 - 9x = 9x - 27

collect like terms:

99 + 27 = 9x + 9x

126 = 18x

Divide both sides by 18:

126/18 = 18x/18

x = 7

...
>
Question
A triangle with area 40 square inches has a height that is four less than six times the width. Find the width and height of the
triangle
Provide your answer below:
width:
inches, height:
inches
FEEDBACK
MORE INSTRUCTION
Content attribution
SUBMIT
Math

Answers

SOLUTION

Given the question, the following are the solution steps to answer the question.

STEP 1: Write the formula for the area of the triangle

[tex]Area=\frac{1}{2}\times base\times height[/tex]

STEP 2: Represent the statements to get an equation

[tex]\begin{gathered} width=base \\ From\text{ the statement,} \\ six\text{ times of the width}=6w \\ four\text{ less than six times the width }=6w-4 \\ \therefore height=6w-4 \end{gathered}[/tex]

STEP 3: Substitute into the formula in step 1

[tex]\begin{gathered} height=6w-4,width=base=w,Area=40in^2 \\ Area=\frac{1}{2}\times w\times(6w-4) \\ Area=\frac{w(6w-4)}{2}=\frac{6w^2-4w}{2}=40 \end{gathered}[/tex]

STEP 4: Cross multiply

[tex]\begin{gathered} 6w^2-4w=40\times2 \\ 6w^2-4w=80 \\ Subtract\text{ 80 from both sides} \\ 6w^2-4w-80=80-80 \\ 6w^2-4w-80=0 \\ Divide\text{ through by 2, we have:} \\ 3w^2-2w-40=0 \\ By\text{ factorization;} \\ 3w^2-12w+10w-40=0 \\ 3w(w-4)+10(w-4)=0 \\ (w-4)(3w+10)=0 \end{gathered}[/tex]

STEP 5: Find the values of w

[tex]\begin{gathered} w-4=0,w=0+4,w=4 \\ 3w+10=0,3w=0-10,3w=-10,w=\frac{-10}{3} \\ \\ Since\text{ the width cannot be negative, width=4 inches} \end{gathered}[/tex]

STEP 6: Find the height

[tex]\begin{gathered} Recall\text{ from step 2:} \\ h=6w-4 \\ Substitute\text{ 4 for w} \\ h=6(4)-4=24-4=20in \end{gathered}[/tex]

Hence,

width = 4 inches

height = 20 inches

Find the area of this trapezoid. Be sure to include the correct un4 cm6 cm4 cm15 cm

Answers

So,

Here we have the following trapezoid:

Remember that the area of a trapezoid can be found if we apply the following formula:

[tex]A=\frac{1}{2}(\text{base}1+\text{base}2)\cdot\text{height}[/tex]

Where bases 1 and 2 are the greater and smaller bases respectively.

So, if we replace:

[tex]\begin{gathered} A=\frac{1}{2}(15+4)\cdot4 \\ A=\frac{1}{2}(19)\cdot4 \\ A=9.5\cdot4 \\ A=38 \end{gathered}[/tex]

So the area is 38cm^2.

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