Sketch the graph of each line.

24)

y=3/5x-4

Answers

Answer 1

The graph of the given line is attached below.

We are given the line:-

y = (3/5)x - 4

We will find the x and y intercepts of the line to plot in the graph.

As the equation is already in the slope intercept form, we can write,

The y-intercept of the line is -4.

Hence, the coordinates of the point will be (0,-4).

To find the x - intercept of the line we will put y = 0 in the given line.

0 = (3/5)x - 4

4 = 3x/5

x = 20/3

The coordinates of the point will be (20/3,0).

We can plot these points to get the desired graph.

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Related Questions

without dividing, how can you tell which quotient is smaller, 30:5 or 30:6 ? eXPLAIN

Answers

Without dividing, we can tell that 30:6 has smaller quotient between 30:5 and 30:6.

According to the question,

We have the following two expressions:

30:5 and 30:6

Now, we can easily find which expression has a smaller quotient when the dividend is the same. We need to look at the divisor. If the dividend is the same then the quotient will be smaller for the one with the greater divisor.

In this case, 30:6 has a greater divisor than 30:5 (6 is larger than 5). So, it will have smaller quotient.

Now, we can prove this by dividing both the expressions.

30/6 = 5

(So, it has smaller quotient.)

30/5 = 6

Hence, 30:6 has smaller quotient than 30:5.

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Yesterday Ali had n Baseball cards. Today he gave away 6. Using n, Write an expression for the number of cards Ali has left

Answers

Yesterday Ali had n Baseball cards.

Today he gave away 6 cards.

We are asked to write an expression for the number of cards Ali has left.

Ali had a total of n cards and he gave away 6 from them.

So, we have to simply subtract 6 cards from the total n cards.

[tex]n-6[/tex]

Therefore, the expression is n - 6 represents the number of cards Ali has left.

What is the area of the composite figure? 9 in. 12 in. 24 in 20 in 12 in 15 in 30 in. O 1,182 square inches O 1,236 square inches O 978 square inches O 924 square inches

Answers

Given data:

The given figure is shown.

The area of the given figure is,

[tex]\begin{gathered} A=(24\text{ in)}(30\text{ in)+}\frac{1}{2}(24\text{ in)(9 in)+}\frac{1}{2}(15\text{ in)}(20\text{ in)} \\ =720\text{ sq-inches+108 sq-inches+150 sq-inches} \\ =978\text{ sq-inches} \end{gathered}[/tex]

Thus, the area of the composite figure is 978 sq-inches.

26÷2.40=10.833333 round to the nearest cent

Answers

26÷ 2.40= 10.833333

Nearest cent means ,2 numbers after decimal point

Then it is 10.83

count 2 numbers to right ,and discard rest of 3333

Then answer is = 10.83


Function A and Function B are linear functions.

Which statement is true?

The y-value of Function A when x = -2 is greater than the y-value of Function B when x = -2.

The y-value of Function A when x = -2 is less than the y-value of Function B when x = -2.

Answers

Answer:

Step-by-step explanation:

The y-value of Function A when x = - 2 is less than the y-value of Function B when x = - 2.

Help
Show work please

Answers

Answer:

check the attached files.

A company borrows $13,000 at 5% for 90 days. Find (a) the amount of interest due and (b) the total amount that must be paid after 90 days. (a) The interest due is $ (Simplify your answer. Do not round until the final step. Then round to the nearest cent as needed.)

Answers

We have to use the simple interest formula

[tex]I=P\times r\times t[/tex]

Where P = 13,000, r = 5% (0.05), t = 90 (0.25 years). Let's replace these values to find the interest

[tex]I=13,000\times0.05\times0.25=162.50[/tex](a) The amount of interest is $162.50.(b) The total amount that must be paid after 90 days is $13,162.50.

Because we have to add the total interest with the amount borrowed.

Find the slope of the line that goes through the given points 9,7 and 8,7

Answers

we have the points

(9,7) and (8,7)

Note that: The y-coordinates of both points are equal

that means

we have a horizontal line

therefore

The slope is zero

Which factoring do we use and why and how to know the difference between factoring simple trinomial and perfect square

Answers

By definition, a perfect square trinomial is a trinomial that can be written as the square of a binomial. It is in the form:

[tex]a^2+2ab+b^2=(a+b)(a+b)[/tex]

The simple trinomial is in the form:

[tex]ax^2+bx+c[/tex]

Not all the simple trinomials can be written as the square of a binomial, then we need to check if the trinomial follows the structure of the perfect square trinomial. If it doesn't, then the factors won't be the same, and this is the main difference.

a. The given trinomial is:

[tex]x^2+5x+6[/tex]

If it is a perfect square trinomial then:

[tex]\begin{gathered} a^2=x^2 \\ a=x \\ b^2=6 \\ b=\sqrt[]{6} \\ 2ab=5x \\ 2\cdot x\cdot\sqrt[]{6}\ne5x \\ \text{Then it is not a perfect square trinomial} \\ x^2+5x+6=(x+3)(x+2)\text{ It is a simple trinomial} \end{gathered}[/tex]

b. The given trinomial is:

[tex]x^2+6x+9[/tex]

Let's check if it is a perfect square trinomial:

[tex]\begin{gathered} a^2=x^2\to a=x \\ b^2=9\to b=\sqrt[]{9}=3 \\ 2ab=2\cdot x\cdot3=6x \\ \text{This is a perfect square trinomial, then } \\ x^2+6x+9=(x+3)(x+3)=(x+3)^2 \end{gathered}[/tex]

Helen has a box of marbles. 1/2 of the marbles are yellow. 1/8 of the
marbles are red. The rest of the marbles are blue. Helen pulls one marble
out of the box at random, records its color, replaces it, and mixes up the
marbles again. If she does this 400 times, how many blue marbles should
she expect to pull out?

Answers

Answer:

150 blue marbles

Step-by-step explanation:

Hello!

If 1/2 of the marbles are yellow, and 1/8 of the marbles are red, then 3/8 of the marbles should be blue.

The percentages are as given:

Yellow = 50%Red = 12.5%Blue = 37.5%

To calculate the possible number of blue marbles out of the 400 marbles, we can find 37.5% of 400, as there is a 37.5% chance of getting blue for each turn.

Calculate37.5% of 4000.375 * 400150

Helen should expect to pick out 150 blue marbles.

A square room has a floor area of 49 square meters. The height of the room is 8 meters. What is the total area of all four walls?​

Answers

The total area of all four walls is 224 square meters.

According to the question,

We have the following information:

A square room has a floor area of 49 square meters.

So, we have:

Area of square = 49 square meters

Side*side = 49

Side = [tex]\sqrt{49}[/tex] m

Side of the square = 7 m

Now, the side of the floor will be the width of the wall.

So, we have the width of the wall = 7 m.

The height of the room is 8 meters.

It means that the height of the wall is 8 m.

Area of 1 rectangular wall = length*width

Area of wall = 8*7

Area of 1 wall = 56 square meters

Now, the are of 4 walls will be (4*56) square meters or 224 square meters.

Hence, the total are of all four walls is 224 square meters.

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Hello,Can you help me with question 1: Evaluate the given binomial coefficient

Answers

Solution:

Given the expression below

[tex](^8_3)[/tex]

Applying the combination formula below

[tex]^nC_r=\frac{n!}{r!(n-1)!}[/tex]

The binomial coefficient will be

[tex]=\frac{8!}{3!(8-3)!}=\frac{8!}{3!5!}=\frac{8\times7\times6\times5\times4\times3\times2\times1}{3\times2\times1\times5\times4\times3\times2\times1}=56[/tex]

Hence, the answer is 56

write your answer in exponential form. 3^9 * 3^-3

Answers

Step 1

Given;

[tex]3^9\times3^{-3}[/tex]

Required; To write the answer in exponential form

Step 2

[tex]\begin{gathered} Using\text{ the index law below;} \\ a^b\times a^c=a^{bc} \\ Hence,\text{ 3}^9\times3^{-3}=3^{9-3}=3^6 \end{gathered}[/tex]

Answer;

[tex]3^6[/tex]

I need to figure out the easiest way to solve this and apply the method to every problem

Answers

The function is given as,

[tex]f(x_{)=-3x^2-7x}[/tex]

It is asked to find the value of the expression,

[tex]f(7)[/tex]

This can be obtained by replacing 'x' by 7 in the given expression of the function,

[tex]f(7)=-3(7)^2-7(7)[/tex]

Resolve the parenthesis,

[tex]\begin{gathered} f(7)=-3(49)-49 \\ f(7)=-147-49 \end{gathered}[/tex]

Simplify the terms further,

[tex]f(7)=-196[/tex]

Thus, the value of the expression f(7) is obtained as,

[tex]=-196[/tex]

2x + 37 = 7x + 42x = ???

Answers

Solve;

[tex]\begin{gathered} 2x+37=7x+42 \\ \text{Collect all like terms and you'll have,} \\ 2x-7x=42-37 \\ \text{Note that a positive number becomes negative once it crosses the equality sign} \\ \text{And vice versa for a negative number} \\ 2x-7x=42-37 \\ -5x=5 \\ \text{Divide both sides by -5} \\ \frac{-5x}{-5}=\frac{5}{-5} \\ x=-1 \end{gathered}[/tex]

Therefore, x = -1

select the reason that best supports statement 6 in the given proof please help me image attached

Answers

Answer:

  B.  Distributive Property

Step-by-step explanation:

You want to know the reason in the proof that best supports the transition from 5. 99-3x = 12(x+2) to 6. 99-3x = 12x+24.

Transformation

You will notice that in the transition from

  5. 99-3x = 12(x+2)

to

  6. 99-3x = 12x+24

the expression 12(x+2) has been replaced by the expression 12x+24.

Distributive property

The property of addition and multiplication that makes it true that ...

  12(x +2) = 12x +24

is the distributive property of multiplication over addition. That property tells you that parentheses can be eliminated by multiplying each of the terms inside by the factor outside.

Please help me my answer is correct or no

Answers

Answer:

the answer is c actully

Step-by-step explanation:

iv'e took that test b4 so you welcome

Use appropriate identities to rewrite the following expression in terms containing only first powers ofsine.4tanx1 + tan2x

Answers

The given question is

[tex]\frac{4\tan x}{1+\tan ^2x}[/tex]

Use the identity

[tex]1+\tan ^2x=\sec ^2x[/tex]

Then replace the denominator by sec^2 (x)

[tex]\frac{4\tan x}{\sec ^2x}[/tex]

Since sec is the reciprocal of cos, then

[tex]\sec ^2x=\frac{1}{\cos ^2x}[/tex]

Replce sec^2(x) by 1/cos^2(x)

[tex]\frac{4\tan x}{\frac{1}{\cos ^2x}}[/tex]

Since denominator of denominator will be a numerator

[tex]4\tan x\times\cos ^2x[/tex]

Use the value of tan

[tex]\tan x=\frac{\sin x}{\cos x}[/tex]

Replace tan by sin/cos

[tex]4\times\frac{\sin x}{\cos x}\times\cos ^2x[/tex]

Reduce cos(x) up with cos(x) down

[tex]\begin{gathered} 4\times\sin x\times\cos x= \\ 4\sin x\cos x \end{gathered}[/tex]

Use the identity

[tex]\sin (2x)=2\sin x\cos x[/tex][tex]4\sin x\cos x=2(2\sin x\cos x)[/tex]

Replace 2 sin(x)cos(x) by sin(2x)

[tex]2(2\sin x\cos x)=2\sin 2x[/tex]

The answer is

2 sin(2x)

7. Reflect AABC over the y-axis, translate by (2, -1), and rotate the result 180° counterclockwise aboutthe origin. Plot AA'B'C' on the grid below. (1 point)tyTransformation rule:420А,PreimageABCImage A'B'CImage A"B"C"Image A'B'C'-22,-12,44, 2lifelongGeometry ACredit 2L4L - Geometry A (2020)Page 57

Answers

Reflection rule over y - axis is given as

(x , y) ------------ (-x, y)

This implies that the y - axis will remain the same and the x - axis will be negated

Pre image ABC at point (2, -1)

The reflection over y - axis will be

ABC A'B'C' A''B''C'' A'''B'''C'''

(2, -1) -----------------(-2, -1) ----------------------(2, -1) -------------------(-2, -1)

ABC A'B'C' A''B''C'' A'''B'''C'''

(2, -4) (-2, -4) (2, -4) (-2, -4)

What is the solution to the equation below?A.x = B.x = C.x = D.x =

Answers

Explanation

We are given the following equation:

[tex]\sqrt{5x-2}-1=3[/tex]

We are required to determine the value of x.

This is achieved thus:

[tex]\begin{gathered} \sqrt{5x-2}-1=3 \\ \text{ Add 1 to both sides} \\ \sqrt{5x-2}-1+1=3+1 \\ \sqrt{5x-2}=4 \\ \text{ Square both sides } \\ (\sqrt{5x-2})^2=4^2 \\ 5x-2=16 \\ \text{ Collect like terms } \\ 5x=16+2 \\ 5x=18 \\ \text{ Divide both sides by 5} \\ \frac{5x}{5}=\frac{18}{5} \\ x=\frac{18}{5} \end{gathered}[/tex]

Hence, the answer is:

[tex]x=\frac{18}{5}[/tex]

the radius of the circle is 5 inches. what is the area?give the exact answer in simplest form.

Answers

Answer:

The area is 25π square inches

Explanation:

Given a radius, r = 5 in.

The area of a circle is given by the formula:

[tex]A=\pi r^2[/tex]

Substituting the value of r, we have:

[tex]A=\pi(5^2)=25\pi[/tex]

The area is 25π square inches

= Homework: Module 17If r(x) =find r(a) and write the answer as one fraction.X-29r(a) =(Simplify your answer. Do not factor.)

Answers

As given by the question

There are given that function

[tex]r(x)=\frac{7}{x-2}[/tex]

Now,

To find the value of r(a^2), put x = a^2 into the function

Then,

[tex]\begin{gathered} r(x)=\frac{7}{x-2} \\ r(a^2)=\frac{7}{a^2-2} \end{gathered}[/tex]

Hence, the function is shown below:

[tex]r(a^2)=\frac{7}{a^2-2}[/tex]

(6 x 10^-2)(1.5 x 10^-3 + 2.5 x 10^-3)1.5 x 10^3

Answers

Given the expression:

[tex]\left(6*10^{-2}\right)\left(1.5*10^{-3}+2.5*10^{-3}\right)1.5*10^3[/tex]

Let's simplify the expression.

To simplify the expression, we have:T

[tex]\begin{gathered} (6*10^{-2})(1.5*10^{-3}+2.5*10^{-3})1.5*10^3 \\ \\ =(6*10^{-2})(4.0*10^{-3})1.5*10^3 \\ \\ =(6*4.0*10^{-2-3})1.5*10^3 \\ \\ =(24.0*10^{-5})1.5*10^3 \end{gathered}[/tex]

Solving further:

Apply the multiplication rule for exponents.

[tex]\begin{gathered} 24.0*1.5*10^{-5+3} \\ \\ =36*10^{-2} \\ \\ =0.36 \end{gathered}[/tex]

ANSWER:

[tex]0.36[/tex]

Consider the following functions. Find the domain. Express your answer in interval notation.

Answers

Explanation:

[tex]\begin{gathered} f(x)\text{ = - }\sqrt[]{6-x} \\ g(x)\text{ = 4 - x} \\ (g\text{ - f)(x) = g(x) - f(x)} \end{gathered}[/tex][tex]\begin{gathered} (g\text{ -f)(x) = }4-\text{ x - (-}\sqrt[]{6\text{ - x}}) \\ (g\text{ -f)(x) = 4 - x + }\sqrt[]{6-x} \end{gathered}[/tex][tex]undefined[/tex]

(1 point) For each trigonometric expression A,B,C,D, E, choose the expression from 1,2,3,4,5 that completes a fundamental identity. Enter the appropriate letter (A,B,C,D, or E) in each blank.

Answers

Answer:

Step-by-step explanation:

I would recommend looking up the magic trig hexagon, it has all of these identities and more within it.

1 - this corresponds with C as sin^2(x)+cos^2(x)=1

1-cos^2(x) - this corresponds with A, using the identity from number 1, we can rewrite it in the form sin^2(x)=1-cos^2(x)

cot(x) - for this it is important to know that cotangent is the inverse of tangent. Since tan(x)=sin(x)/cos(x), cot=cos(x)/sin(x) which is B.

sec^2(x) - much like the cos and sin pythagorean identity, sec and tan are related. sec^2(x)=tan^2(x)+1 which is answer choice E.

tan(x) - this is sin(x)/cos(x), choice D.

Find two unit vectors orthogonal to both j-k and i+j.

Answers

The two unit vectors orthogonal to both j-k and i+j  are [tex]\frac{i}{\sqrt{3} }- \frac{j}{\sqrt{3} } -\frac{k}{\sqrt{3} }[/tex]

Let a bar = j- k  = < 0,1,-1>

b bar = i+j = <1,1,0>

the cross product a x b bar is orthogonal to both a and b bar

= i ( 0-(-1) ) -j ( 0-(-1) ) + r (0-1)

= i-j-k

A unit vector is a vector whose length is 1 unit

There the unit vector is :

[tex]\frac{i-j-k}{\sqrt{1^2+(-1)^2+(-1)^2} } = \frac{i-j-k}{\sqrt{3} }[/tex]

= [tex]\frac{i}{\sqrt{3} }-\frac{j}{\sqrt{3} }-\frac{k}{\sqrt{3} }[/tex]

The second unit vector orthogonal to both a and b bar would be negative of the previous vector.

= [tex]-\frac{i}{\sqrt{3} }-\frac{j}{\sqrt{3} }-\frac{k}{\sqrt{3} }[/tex]

Hence the two unit vectors orthogonal to both j-k and i+j are  [tex]\frac{i}{\sqrt{3} }- \frac{j}{\sqrt{3} } -\frac{k}{\sqrt{3} }[/tex]

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which example would be likely to give a valid conclusion?

Answers

Given: Different statement

To Determine: Which of the statement would give a valid conclusion

Solution

Please note that the statement must be a true representation of the population

I have tried but but there is some part that i keep getting wrong

Answers

we have that

K is the center of circle

J -----> point of tangency

segment IK is a radius

segment JL is a chord

segment GI is a secant

segment JI is a diameter

segment GJ is a tangent

arc JIL is a major arc

arc JL is a minor arc

arc JLI is a half circle (180 degrees)

Part 2

we have that

arc TU=87 degrees -------> by central angle

arc ST

Remember that

arc ST+87+72=180 degrees ------> by half circle

so

arc ST=180-159

arc ST=21 degrees

arc WV

we have

arc WV+arc UV=180 degrees -----> by half circle

arc UV=72 degrees

so

arc WV=180-72

arc WV=108 degrees

arc VUT

arc VUT=arc VU+arc UT

substitute given values

arc VUT=72+87

arc VUT=159 degrees

arc WU=180 degrees -----> by half circle de

A circular plot of land has a diameter of 16 yards. What is the area of theland? Use 3.14 for it.O A. 803.84 yd2O B. 50.24 yd2O C. 200.96 yd2O D. 25.12 yd2

Answers

The area of the circle can be calculated with the following formula

[tex]A=\pi\cdot r^2[/tex]

First let's find the radius

[tex]\begin{gathered} r=\frac{16}{2}\text{yds} \\ r=8\text{yds} \end{gathered}[/tex][tex]\begin{gathered} A=\pi\cdot8^2 \\ A=3.14\cdot64 \\ A=200.96\text{ yd2} \end{gathered}[/tex]

The answer would be 200.96 square yards

A bag contains 3 gold marbles, 10 silver marbles, and 23 black marbles. You randomly select one marblefrom the bag. What is the probability that you select a gold marble? Write your answer as a reduced fractionPlgold marble)

Answers

ANSWER

P(gold marble) = 1/12

EXPLANATION

In total, there are:

[tex]3+10+23=36[/tex]

36 marbles in the bag, where only 3 are gold marbles.

The probability is:

[tex]P(\text{event)}=\frac{\#\text{times the event can happen}}{\#\text{posible outcomes}}[/tex]

In this case, the number of posible outcomes is 36, because there are 36 marbles in the bag. The number of times the event can happen is 3, because there are 3 gold marbles:

[tex]P(\text{gold marble)}=\frac{3}{36}=\frac{1}{12}[/tex]

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