Graph the line with the given slope m and y-intercept b.
m = 1, b =0

Graph The Line With The Given Slope M And Y-intercept B.m = 1, B =0

Answers

Answer 1

Answer:

See graph

Step-by-step explanation:

Graph The Line With The Given Slope M And Y-intercept B.m = 1, B =0

Related Questions

What is 175% of 48? Show work.

Answers

Let 175% of 48 be y.

This implies that

[tex]\frac{175}{100}\times48=y[/tex]

To evaluate y,

[tex]\begin{gathered} \frac{175}{100}\times48=y \\ \Rightarrow\frac{175\times48}{100}=y \\ \frac{8400}{100}=y \\ \Rightarrow y=84 \end{gathered}[/tex]

Hence, 175% of 48 is 84.

For each ordered pair, determine whether it is a solution to the system of equations. 7x - 4y=8 -2x+3y=7 Is it a solution? (x, y) Yes No (0, -2) a (-9,-6) (4,5) (7.7)

Answers

7x - 4y = 8 (eq. 1)

-2x + 3y = 7 (eq. 2)

Isolating y from equation 1:

-4y = 8 - 7x

y = 8/(-4) - 7/(-4)x

y = -2 + 7/4x

Isolating y from equation 2:

3y = 7 + 2x

y = 7/3 + 2/3x

Given that the slopes of the equations are different, then there is a solution, which can be found as follows,

[tex]\begin{gathered} -2+\frac{7}{4}x=\frac{7}{3}+\frac{2}{3}x \\ \frac{7}{4}x-\frac{2}{3}x=\frac{7}{3}+2 \\ \frac{^{}_{}7\cdot3-2\cdot4}{4\cdot3}x=\frac{7+3\cdot2}{3} \\ \frac{13}{12}x=\frac{13}{3} \\ x=\frac{13}{3}\cdot\frac{12}{13} \\ x=4 \end{gathered}[/tex]

Replacing x = 4 into one of the equations, we get:

[tex]\begin{gathered} y=-2+\frac{7}{4}x \\ y=-2+\frac{7}{4}\cdot4 \\ y=-2+7 \\ y=5 \end{gathered}[/tex]

The solution is (4,5)

To check if an ordered pair is a solution, we have to replace the x-coordinate and the y-coordinate of the pair into the equation, as follows:

(0, -2)

7(0) - 4(-2) = 8

8 = 8

-2(0) + 3(-2) = 7

-6 ≠ 7

Given that the second equation is not satisfied, then (0, -2) is not a solution

(-9, -6)

7(-9) - 4(-6) = 8

-81 + 24 ≠ 8

-2(-9) + 3(-6) = 7

18 - 18 ≠ 7

Given that the equations are not satisfied, then (-9, -6) is not a solution

(7,7)

7(7) - 4(7) = 8

49 - 28 ≠ 8

-2(7) + 3(7) = 7

-14 + 21 = 7

Given that the first equation is not satisfied, then (7, 7) is not a solution

Based on the diagram below, which statement is true? b a C 110° 115° d 60° e 120° Oь || с Oa || ь alle Odlle

Answers

we have that

Verify each statement

1) b parallel to c

If b is parallel to c then

115+60=180

175=180 ----> is not true

2) a parallel to b

If a is parallel to b

then

110+60=180

170=180 -----> is not true

3) a parallel to c

If a is parallel to c

then

110=115 -----> is not true

4) d parallel to e

If d is parallel to e

then

60+120=180

180=180 -----> is true

therefore

the answer is

d parallel to e

Part 2

In this problem

If n and m are parallel

then

the interior angles of the triangle are

30, 80 and x degrees

so

30+80+x=180

110+x=180

x=180-110

x=70 degrees

you are 5 feet and 4 inches tall and cast a shadow 6 feet long. At the same time , a nearby tree cast a shadow 40 feet 6 inches long. Find the heigh of the tree.

Answers

The height of the tree is such that it cast a shadow 40 feet 6 inches long and maintains the given ratio will be 36 feet.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

As per the given question,

The height of a person is 5 feet and 4 inches.

Since 1 feet = 12 inches so 4 inches = 1/3 feet

Therefore,height of a person = 5 + 1/3 = 16/3 feet

Its shadow length = 6 feet

The ratio of the height to shadow length = (16/3)/6

Now, the shadow of the tree = 40 feet and 6 inches so 40.5 feet

Let's say its length was x feet.

Then x/40.5 =  (16/3)/6

x = 36 feet

Hence "The height of the tree is such that it cast a shadow 40 feet 6 inches long and maintains the given ratio will be 36 feet".

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Solve 39 - 5 = 13 for q.q=

Answers

We are given the following equation:

[tex]3q-5=13[/tex]

We are asked to solve for "q". To do that, we will first add "5" on both sides, like this:

[tex]\begin{gathered} 3q-5+5=13+5 \\ 3q=18 \end{gathered}[/tex]

Now we will divide by 3 on both sides, like this:

[tex]\begin{gathered} \frac{3q}{3}=\frac{18}{3} \\ q=6 \end{gathered}[/tex]

Therefore, the value of q is 6.

ok, remember that the answer will be available in your profile.

The graph above shows the graph of the cost in blue and revenue in red function for a company that manufactures and sells small radios.ABCD

Answers

a) 500 radios

b) Going out = $5000

Coming in = $5000

c) P(x) = 6x - 3000

d) Profit of $900

Explanation:

a) To get the number of radios that must be produced to break even, we will equate the cost function and the revenue function:

[tex]\begin{gathered} \cos t\text{ function:} \\ C(x)\text{ = 3000 + 4x} \\ \text{revenue function:} \\ R(x)\text{ = 10x} \\ \\ \text{Break even:} \\ C(x)\text{ = R(x) } \\ \text{3000 + 4x = 10x} \end{gathered}[/tex]

collect like terms:

[tex]\begin{gathered} 3000\text{ = 10x - 4x} \\ 3000\text{ = 6x} \\ \text{divide both sides by 6:} \\ x\text{ = 3000/6} \\ x\text{ = 500} \\ \text{If x represents number of radios produced,} \\ \text{Then to break even, 500 radios will have to be produced } \end{gathered}[/tex]

b) The dollar amount going in and coming out is gotten by replacing the value of x in both function with 500:

[tex]\begin{gathered} \text{when x = }500 \\ C(x)\text{ = 3000 + 4x = 3000 + 4}(500) \\ C(x)\text{ = }5000 \\ \text{Amount going out = \$5000} \\ \text{when x = 500} \\ R(x)\text{ = 10x = 10(500)} \\ R(x)\text{ = 5000} \\ \text{Amount coming in = \$5000} \end{gathered}[/tex]

c) Profit = Revenue - Cost

[tex]\begin{gathered} \text{Profit function, }P(x)\text{= R(x) - C(x)} \\ P(x)\text{ = 10x - (3000 + 4x)} \\ P(x)\text{ = 10x - 3000 - 4x} \\ P(x)\text{ = 6x - 3000} \end{gathered}[/tex]

d) To find the profit when the number of radios is 650

[tex]\begin{gathered} \text{Profit function: P(x) = 6x - 3000} \\ \text{for 650 radios, x = 650} \\ P(650)\text{ = 6(650) - 3000} \\ P(650)\text{ = 900} \\ \text{The company will make a profit of \$900} \end{gathered}[/tex]

If a line passes thru the points (5,5) and (9,3) the slope of this line is

Answers

The initial point is (5,5)

the final point is (9, 3)

The formula for determining slope is expressed as

slope = (y2 - y1)/(x2 - x1)

y2 and y1 are the final and initial y values

x2 and x1 are the final and initial x values

From the information given,

x1 = 5, y1 = 5

x2 = 9, y2 = 3

Slope = (3 - 5)/(9 - 5) = - 2/4

Slope = - 1/2

Identify the algebraic expression for the following word phrase: 5 less than twice a number y.

Answers

Answer:

5-2y because 5 less is 5- and 2 twice a number is y number is y and twice mean 2

Directions: Identify the slope and y-intercept of the line on the graph. Then, write the equation of the line in slope-intercept form.

Answers

To find out the slope, we need two points

so

looking at the graph

we take

(-4,5) and (0,-3)

m=(-3-5)/(0+4)

m=-8/4

m=-2

the y-intercept (value of y when the value of x is zero) is the point (0,-3)

the equation of the line in slope-intercept form is

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

so

m=-2

b=-3

substitute

y=-2x-3

The measure of the smallest angle in a right triangle is 45° 45 ° less than the measure of the next larger angle. Find the measures of all three angles.

Answers

Angle A or B must be 90 degrees since it is a right triangle. Given that C is more than 60 and that there are 180 degrees in a triangle, the other angle must be less than 30 degrees.

How to measure the three angles?The smallest angle in a right triangle has a measure that is 45° smaller than the next largest angle.As a result, the other two angles' measurements must sum up to 90. The only solution to this would be for both of the remaining angles to be 45 degrees if the lowest angle is 45 degrees less than the next largest angle. The correct angle would be the next biggest angle.Angle A or B must be 90 degrees since it is a right triangle. Given that C is more than 60 and that there are 180 degrees in a triangle, the other angle must be less than 30 degrees.

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four tenths squared minus 19 plus the quantity negative 5 divided by the absolute value of 6.7 minus 9.2 end quantity times 3.81

Answers

The expression has a value of -26.46 when evaluated

How to evaluate the expression?

From the question, the expression is given as

four tenths squared minus 19 plus the quantity negative 5.......

Rewrite the expression properly as

0.4² - 19 + (-5)/|6.7 - 9.2| * 3.81

Start by evaluating the exponent

So, we have

0.16 - 19 + (-5)/|6.7 - 9.2| * 3.81

Remove the expression in the bracket

0.16 - 19 - 5/|6.7 - 9.2| * 3.81

So, we have

0.16 - 19 - 5/|-2.5| * 3.81

Remove the absolute bracket

0.16 - 19 - 5/2.5 * 3.81

Divide

0.16 - 19 - 2 * 3.81

Evaluate the products

0.16 - 19 - 7.62

So, we have

-26.46

Hence, the value of the expressions is -26.46

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I need help with this practice problem The subject is trigonometry

Answers

SOLUTION

The range of the function is given as:

[tex](-\infty,-9\rbrack\cup\lbrack5,\infty[/tex]

The asymptote of the function is at points

[tex]x=0,x=2\pi[/tex]

The function is shown in the graph below

Therefore, the equation of the session is

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

Oaks Hardware purchases an extension ladder list priced at $120. It is available at a 15% discount. What is the available price?

Answers

A 15% discount means that the retail price is 85% of the original price.

To calculate said retail price, we'll use a rule of three:

Thereby,

[tex]x=\frac{120\cdot85}{100}\rightarrow x=102[/tex]

Therefore, we can conclude that the available price is $102

Find the measure of the indicated angle to the nearest degreeQuestion 15

Answers

Question 15.

Given:

Length of side opposite the indicated angle = 12 units

Length of side adjacent the hypotenuse = 24 units

Let's find the measure of the indicated angle.

Here, we have a right triangle.

To find the measure of the indicated angle, apply the trigonometric ratio formula for sine:

[tex]sin\theta=\frac{opposite\text{ side}}{hypotenuse}[/tex]

Where:

θ is the indicated angle.

Thus, we have:

[tex]\begin{gathered} sin\theta=\frac{12}{24} \\ \\ sin\theta=\frac{1}{2} \end{gathered}[/tex]

Take the sine inverse of both sides:

[tex]\begin{gathered} \theta=sin^{-1}(\frac{1}{2}) \\ \\ \theta=30^o \end{gathered}[/tex]

Therefore, the measure of the indicated angle us 30 degrees.

• ANSWER:

30°

16. Four solids labelled A, B, C, and D are shown below. o A B D a. Which of the solids has a curved face? 1mk b. Which solid has 5 faces? 1mk c. Which solid has 12 edges? Imk

Answers

a. A solid has curved surface area.

b. C solid has 5 faces.

c. D solid has 12 edges.

How do you Graph g(x)=x^5-2x^4 ?

Answers

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.

? QuestionWhat is the equation of the quadratic function represented by this table?х5678910f(x)-4585-4-19HolaType the correct answer in each box. Use numerals instead of words.f(x) =(x -12 +

Answers

To determine the equation of the quadratic equation, which is a parabola, we substitute the coordinates of the vertex of the parabola (h,k) into the general equation.

[tex]y=a(x-h)^2+k[/tex]

From the given, notice that the only value of f(x) that does not repeat is 8. This means that the vertex is at (7,8).

[tex](h,k)=(7,8)[/tex]

Thus, we only need to obtain the value of a.

Substitute the coordinate of a point (x,y) into the equation and the vertex as well. In this case, let us use the first given point, (5,-4).

[tex]\begin{gathered} y=a(x-h)^2+k \\ \\ (5,-4)\rightarrow-4=a(5-7)^2+8 \end{gathered}[/tex]

Simplify the obtained equation.

[tex]\begin{gathered} (5,-4) \\ -4=a\mleft(5-7\mright)^2+8 \\ -4=a\mleft(-2\mright)^2+8 \\ -4=a(4)+8 \\ -4-8=4a \\ -12=4a \\ a=\frac{-12}{4} \\ a=-3 \end{gathered}[/tex]

Now that we have the value of a, substitute the coordinates of the obtained vertex and the value of a into the equation of the quadratic equation.

[tex]\begin{gathered} y=a(x-h)^2+k \\ y=-3(x-7)^2+8 \end{gathered}[/tex]

To check, the graph of the given function is as follows:

Therefore, the equation of the quadratic equation is y=-3(x-7)²+8.

A 90% confidence interval for a proportion is found to be (0.52, 0.58). What isthe sample proportion?

Answers

A 90% confidence interval for a proportion is given as (0.52,0.58).

It is required to find the sample proportion.

Recall that for confidence interval (x,y), the sample proportion is the midpoint:

[tex]c=\frac{x+y}{2}[/tex]

Substitute x=0.52 and y=0.58 into the equation:

[tex]c=\frac{0.52+0.58}{2}=\frac{1.1}{2}=0.55[/tex]

The answer is C.

A truck carries 4 chairs and tables. The table weighs 35 pounds. The total weight of the chairs and tables is 63 pounds. How much does each chair weigh?

Answers

The weight of each chair is 7 pounds.

What is basic arithmetic?

Specific numbers and their computations employing a variety of fundamental arithmetic operations are at the center of arithmetic mathematics. Algebra, on the other hand, deals with the limitations and guidelines that apply to all other types of numbers, including whole numbers, integers, fractions, functions, and so on. Arithmetic math serves as the foundation for algebra, which always adheres to its definition. A large range of subjects fall within the broad definition of mathematics, which encompasses a very broad range of topics. Beginning with the fundamentals like addition, subtraction, and division of numbers, they then move on to more complicated topics like exponents, variations, sequence, progression, and more. This part does touch on some of the mathematical formulas and mathematical sequence. Four essential mathematical operations—addition, subtraction, multiplication, and division—are covered in basic arithmetic.

Total weight = 63 pounds

Weight of the table = 35 pounds

Weight if 4 chairs = 63 - 35

= 28 pounds

Weight of one chair = 28/4

= 7 pounds

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I have the answers for 1 and 2 3. Use your answers from # 1 and # 2 to find the length of each arc between gondola cars . Use 3.14 for and round to the nearest hundredth . You must write out all the numbers you are multiplying together meaning show your work for full credit . ( 5 points ) Central angle = 8°Radius = 95 ft

Answers

Answer:

The length of an arc = 13.26 ft

Explanation:

The length of an arc is given by the formula:

[tex]\begin{gathered} l=\frac{\theta}{360}\times2\pi r \\ \end{gathered}[/tex]

Substitute θ = 8°, r = 95 ft, and π = 3.14 into the formula

[tex]\begin{gathered} l=\frac{8}{360}\times2\times3.14\times95 \\ \\ l=13.26\text{ ft} \end{gathered}[/tex]

The length of an arc = 13.26 ft

Consider the following inequality:x < -2Step 2 of 2: What type of interval does the following inequality represent?

Answers

You have the following inequality:

x≤2

the prevous inequality can be written in interval notation as follow:

(-oo, 2]

then, you can conclude that the inequality is represented by a half-open interval (this happens when you have an open parentheses and a close parentheses)

The table below shows the average price of a Miami Marlins baseball ticket between 2006 and 2021.

Answers

Ticket price as a function of time. If you write the number [tex]2040[/tex] where you see [tex]x[/tex] in this function and take the value where you see [tex]y[/tex], you will reach the correct answer.

[tex]y=1.83(2040)-2225.5[/tex][tex]y=1507.7[/tex]

question given below slove the following equations for r4al x and y .

Answers

S={(-24,7/3)}

1) When we're dealing with Complex Numbers we can rewrite this expression:

[tex](3+4i)^2-2(x-yi)=x+yi[/tex]

Considering that their real and their imaginary parts can be taken as equal, so:

[tex]\begin{gathered} (3+4i)^2-2(x-yi)=x+yi \\ (3+4i)^2-2(x-iy) \\ 9+24i+16i^2+2x+2yi \\ \end{gathered}[/tex]

2) Rewrite that into the Standard form for complex numbers y= ax +bi combining like terms:

[tex]\begin{gathered} 9+24i-16+2x+2yi \\ (-7-2x)+i(24+2y)\text{ = x+ iy} \\ \end{gathered}[/tex]

Finally writing those two expressions as a System of equations we have:

[tex]\begin{gathered} \begin{cases}-7-2x=\text{ x} \\ 24+2y=y\end{cases} \\ -7-2x=x\Rightarrow-7=2x+x\Rightarrow3x=7\Rightarrow\frac{3x}{3}=\frac{7}{3} \\ 24+2y=y\Rightarrow24=-2y+y\Rightarrow-y=24\Rightarrow y=-24 \\ S=\mleft\lbrace(\frac{7}{3},-24)\mright\rbrace \end{gathered}[/tex]

3) Hence, the answer is S={(-24,7/3)}

What is the output value for the following function if the input value is 5?y = 4x - 34223172

Answers

Answer:

17

Explanation:

Given the function:

[tex]y=4x-3[/tex]

When the input value, x = 5

[tex]\begin{gathered} y=4x-3 \\ =4(5)-3 \\ =20-3 \\ =17 \end{gathered}[/tex]

The output value if the input value is 5 is 17.

[tex] - \frac{5}{6} e - \frac{2}{3} e = - 24[/tex]cual es la respuesta

Answers

Resolvamos esta ecuación para la variable "e":

[tex]\begin{gathered} -\frac{5}{6}e-\frac{2}{3}e=-24 \\ \frac{5}{6}e+\frac{2}{3}e=24 \\ \frac{5}{6}e+\frac{4}{6}e=24 \\ \frac{(5+4)e}{6}=24 \\ \frac{9e}{6}=24 \\ 9e=24\cdot6 \\ 9e=144 \\ e=\frac{144}{9} \\ e=16 \end{gathered}[/tex]

Entonces, el valor de "e" es 16.

A saw blade is rotating at 2700 revolutions per minute. Find theangular speed in radians per second.

Answers

The rule of the angular speed is

[tex]\omega=No\text{ of revolution per min }\times\frac{2\pi}{60}[/tex]

Since the number of revolutions is 2700 per min, then

[tex]\begin{gathered} \omega=2700\times\frac{2\pi}{60} \\ \\ \omega=90\pi\text{ rad per sec} \end{gathered}[/tex]

The answer is 90pi rad per second

The answer is the 3rd answer

24. How many gallons of ethanol are in a 100 gal mixture that is 10%
ethanol?

Answers

By working with percentages, we will see that there are 10 gallons of ethanol in the mixture.

How many gallons of ethanol are in the mixture?

We know that we have a mixture with a volume of 100 gallons, and 10% of that mixture is ethanol, so we just need to find the 10% of 100 gallons.

To work with percentages, we will use the equation:

Volume of ethanol = total volume*ratio of ethanol.

V = 100gal*(10%/100%)

V = 100gal*0.10 = 10 gal

There are 10 gallons in the mixture.

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6. Point A (-16,8) is one of the verticesof a rectangle. After a dilation of 1/2, arotation of 90 degrees clockwise, and areflection over the x-axis, what are thecoordinates of A"'?

Answers

Given the coordinate: A(-16, 8), let's perform the following:

First step:

A dilation with a scale factor of 1/2.

Here, we are to multiply the coordinates by 1/2.

A(-16, 8) ==> A'(-16*½, 8*½) = A'(-8, 4)

Second step:

Perform a rotation of 90 degrees clockwise.

(x, y) will change to (y, -x)

A'(-8, 4) ==> A''(4, 8)

Third step:

A reflection over the x axis.

To perform a reflection over the x axis, (x, y) becomes (x, -y)

A''(4, -8) ==> A'''(4, -8)

Therefore, the coordinates of A''' are:

A'''(4, -8)

identify whether each phrase is an expression equation or quantity

Answers

the last one of the right column is a inequality, because it has the sign "<"

the second one of the right column in an expression because it doen't have the sign "="

the first one of the right column is a equation because it has the sign "=".

7, -28, 112, -448, ..... as a formula

Answers

n = number

We can see that the value of each number is multiplied by 4 at each point in time

And the initial value is 7

[tex]a_n=7(4)^{n-1}[/tex]

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