Write an equation in slope-intercept form for the line with slope 4/3 and y-intercept 1.

Answers

Answer 1

Answer:

y = 4/3x + 1

Hope this helps :)

Step-by-step explanation:

The slope-intercept form is y = mx + b.

m = the slope which is 4/3

b = the y-intercept which is 1

So to substitute the numbers in, the final equation would be y = 4/3x + 1


Related Questions

For a standard normal distribution, given:

P(z < c) = 0.9663

Find c.

Answers

The value of c for a standard normal distribution, P(z < c) = 0. 9663 is 0.47.

What is standard normal distribution?

The standard normal distribution table gives the probability of a regularly distributed random variable Z, whose mean is equivalent to 0 and difference equal to 1, is not exactly or equal to z. The normal distribution is a persistent probability distribution.

What is z score?

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by

z = (x - μ)/σ

Where x is the raw score, μ is the mean and σ is the standard deviation.

Given that P(z < c) = 0. 9663; hence:

From the normal distribution table, c = 0.47

The value of c for a standard normal distribution, P(z < c) = 0. 9663 is 0.47.

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State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not.A No; it is a ratioBYes; degree 1CNo; x is a negative termDYes; degree 4

Answers

Given:

The function is,

[tex]\frac{8-x^4}{9}[/tex]

It can be written as,

[tex]\frac{8}{9}-\frac{x^4}{9}[/tex]

Polynomial is a combination of terms seperated using + and - sign which does not contain,

1) Variable in demominator

2) Variables under radical

3) special features like trigonometric function, absolute values etc.

So, it shows that the given function is polynomial with degree 4.

Answer: option D)

A clock takes 12 seconds to strike 4. How long does it take to strike 12?

Answers

•answer:
36 seconds

working out:
•4= 12 seconds
and 4x3=12
so if you do 12x3 it’s 36

Answer If the answer is not 36 you have to look at the way the sentence is structured . Time is taken between hours not on them The answer should be 44. To go on 4 it takes four strikes on three spots that take a total of 12 secs and four per space

So the answer should be 44

Usqqe format HTH to mean that the first toss is heads, the second is tails and the third is heads more than one element in the set, separate them with commas

Answers

SOLUTION

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

STEP 1: State the number of outcomes possible for three tossing of a coin

Since a coin has two possible outcomes and is tossed three times, the total outcomes will be:

[tex]\begin{gathered} 2^3=8 \\ 8\text{ outcomes} \end{gathered}[/tex]

STEP 2: Find the number of sample spaces for the three tosses

STEP 3: Get the outcomes of the events for which the second toss is tails

Hence, the answers are given as:

Sample Space:

[tex]\lbrace HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\rbrace[/tex]

The event that the second toss is tails:

[tex]\lbrace HTH,HTT,TTH,TTT\rbrace[/tex]

help meeeeeeeeeeeeeeeeeeeeeee




thank you

Answers

The value of the function f(-5) is -6

How to evaluate the function?

The given parameters are the graphs in the figure

From the question, we have the function definition to be f(-5)

When the graphs are analysed, we have the following highlights

The equation of the first graph is illustrated by the function f(x), while the second is illustrated by the function g(x)

Recall that the function definition is f(-5)

So, we use the function represented by f(x) i.e. the first graph

The function f(-5) means the value of x is -5

Looking at the values on the first graph, we have the following representation

f(-5) = -6

Hence, the function f(-5) has a value of -6

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what is the greatest common factor of 18 and 24 with 18/24 in the simplest form i do not understand how to do this

Answers

Answer:

Greatest common factor: 6

The simplest form of 18/24 = 3/4

Explanation:

First, we need to identify the factors of 18 and 24. The factors are the numbers that divide 18 and 24.

Factors of 18: 1, 2, 3, 6, 9, 18

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.

Then, the common factors are: 1, 2, 3, and 6

Finally, the greatest common factor is 6.

On the other hand, if we want to write 18/24 in the simplest form, we need to divide both numbers by the greatest common factor, so:

[tex]\frac{18\div6}{24\div6}=\frac{3}{4}[/tex]

So, 18/24 in the simplest form is 3/4

Please help with math problem FAST

Answers

it is A because you just add the 3y over
The answer is A because you just need to use the move over method

For the curve, estimate the instantaneous rate of change at x=5 without the use of derivatives

Answers

Answer: -0.733

Step-by-step explanation:

To estimate the instantaneous rate of change, we can take the slope of the secant through two points on the curve that are close to x=5.

In this case, we will consider [tex](4.9, f(4.9))[/tex] and [tex](5.1, f(5.1))[/tex].

[tex]\frac{f(5.1)-f(4.9)}{5.1-4.9} \approx -0.733[/tex]

Define an exponential function, h(x), which passes through the points (1,16) and(5, 1296). Enter your answer in the form a*b^xh(x) =

Answers

We want the answer in exponential form:

[tex]h(x)=a\cdot b^x[/tex]

where a and b are the constants to be determined. We can find a and b by substituting the given points and construct a system of equatons, that is, by replacing point (1,16) we have

[tex]\begin{gathered} 16=a\cdot b^1 \\ so \\ 16=a\cdot b \end{gathered}[/tex]

and by substituting point (5,1296), we get

[tex]1296=a\cdot b^5[/tex]

Then, we have 2 equations in 2 unknonws:

[tex]\begin{gathered} a\mathrm{}b=16 \\ a\mathrm{}b^5=1296 \end{gathered}[/tex]

By isolating a from the first equation and substituting this result into the second one, we get

[tex]\begin{gathered} (\frac{16}{b})b^5=1296 \\ \end{gathered}[/tex]

which gives

[tex]\begin{gathered} 16b^4=1296 \\ b^4=\frac{1296}{16} \\ b^4=81 \\ b=\sqrt[4]{81} \\ b=3 \end{gathered}[/tex]

Then, by substituting this result into the first equation of our system, we obtain

[tex]\begin{gathered} a\cdot3=16 \\ \text{then} \\ a=\frac{16}{3} \end{gathered}[/tex]

Therefore, the answer is

[tex]h(x)=\frac{16}{3}\cdot(3)^x[/tex]

g+3 1/2=10 answer to g

Answers

Answer:  

Exact form: G = 12/2

decimal form: G = 6.5

You draw one card from a 52-card deck. Then the card is replaced in the deck and the deck is shuffled, and you draw again. Find the probability of drawing a nine the first time and a heart the second time

Answers

SOLUTION:

Step 1:

In this question, we are given the following:

You draw one card from a​ 52-card deck.

Then the card is replaced in the deck and the deck is​ shuffled, and you draw again.

Find the probability of drawing a nine the first time and a heart the second time​

Step 2:

From the question, we can see that the probability of drawing a nine the first time and a heart the second time​ is:

[tex]\frac{4}{52\text{ }}\text{ x }\frac{13}{52}=\text{ }\frac{52}{52\text{ x 52}}=\frac{1}{52}[/tex]

CONCLUSION:

The probability of drawing a nine the first time and a heart the second time​ is:

[tex]\frac{1}{52}[/tex]



A pancake recipe for Christ 3 1/3 cups of milk to 1 cup of flour. At 3 3/4 cups of milk is used, what quantity of flour will be needed, according to the recipe?

Answers

Given:

3 1/3 cups of milk to 1 cup of flour

3 3/4 cups of milk

So:

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

Simplify:

[tex]\begin{gathered} \frac{\frac{10}{3}}{\frac{15}{4}}=\frac{1}{x} \\ \frac{10\times4}{3\times15}=\frac{1}{x} \\ \frac{40}{45}=\frac{1}{x} \\ \frac{8}{9}=\frac{1}{x} \end{gathered}[/tex]

Solve for x:

[tex]\begin{gathered} 8\cdot x=1\cdot9 \\ 8x=9 \\ \frac{8x}{8}=\frac{9}{8} \\ x=\frac{9}{8}=1\frac{1}{8} \end{gathered}[/tex]

Answer:

[tex]1\frac{1}{8}[/tex]

Find the x-and y-intercepts.3x – 2y =-6The x-interceptisThe y-intercept is

Answers

The x-intercept -2 is and the y-intercept is 3

Here, we are tasked by finding the x-intercept and the y-intercept of the given straight line

The x-intercept is the point on the graph where we have the coordinates as (x,0)

What this mean is that at the x-intercept, the value of y = 0

Thus by substituting y = 0 into the equation, we can get the value of the x-intercept

Making the substitution, we have

3x - 2(0) = -6

3x = -6

x = -6/3

x = -2

The y-intercept is the point on the graph where we have the coordinates as (0,y)

What this mean is that at the y-intercept, the value of x = 0

Thus by substituting x = 0 into the equation, we can get the value of the y-intercept

Making the substitution, we have

3(0) - 2y = -6

-2y = -6

divide both sides by -2

y = -6/-2

y = 3

At an aquarium, researchers are preparing a mixture of salt water. The desired ratio is 90 grams of salt per liter of water.1 ounce= 28.35 grams1 gallon= 3.8 literswhat is the ratio in ounces per gallon

Answers

Based on the question, the ratio of the salt mixture is:

[tex]\frac{90grams}{1\text{liter}}[/tex]

So, if we have 3.8 liters in 1 gallon, we would need 90grams x 3.8 = 342 grams of salt in 1 gallon.

[tex]\frac{90grams}{1\text{liter}}\times\frac{3.8liters}{1\text{gal}}=\frac{342grams\text{ }}{1gal}[/tex]

The next step is to determine how many ounces are there in 342 grams. If 1 ounce = 28.35 grams, then 342 grams divide 28.35 grams = 12.06. Hence, in 342 grams, there are 12.06 ounces.

Thus, we can say that:

[tex]\frac{342\text{grams}}{1\text{gal}}=\frac{12.06\text{ounces}}{1\text{gal}}[/tex]

The ratio of the salt mixture is 12.06 ounces per gallon.

Which expression simplifies to 5? 7 points A. 27/3 -- 14 B. 27/3 + 4 C. --27/3 -- 4 D. --27/3 + 4

Answers

The expression simplifies to 5 is  -27/3 +14 .

The option D is correct.

What is Simplification?

Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler, usually shorter.

Given,

Which expression simplifies to 5?

Here, Options are

A. 27/3 - 14

= 9 - 14 = -5

B. 27/3 + 4

= 9 + 4 = 13

C. --27/3 - 4

= -9 - 4 = -13

D. -27/3 +14

= -9 + 14 = 5

Hence, The expression simplifies to 5 is  -27/3 +14 .

The option D is correct.

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Solving systems y=2-2x. x=y-5

Answers

we get that:

[tex]x=2-2x-5\rightarrow x+2x=-3\rightarrow3x=-3\rightarrow x=-1[/tex]

so we get

[tex]y=2-2\cdot-1=2+2=4[/tex]

A city is considered raising taxes to build a football stadium A survey of registered voters yielded the following results !If 400 people were surveyed,how many support the tax hike .Position : Against tax hike 7/16. For tax hike 3/16. Undecided 3/8. if 400 people were surveyed,how many support the tax hike ?

Answers

Total sample popuation = 400

Fraction of those for the tax hike = 3/16

fraction of those against the tax hike = 7/16

The number of those that support the tax hike is

3/16 of 400

=> 3/16 x 400

=> 1200/ 16

=>75 people

Mai works a total of 31 hours per week at two jobs. The number of hours she works at a coffee stand is 5 less than 2 times the number of hours she works at the animal shelter. How many hours does Mai work at the animal shelter?

Show the equation you use and your work solving the equation.

Answers

Answer:

12

Step-by-step explanation:

Let x = number of hours at the shelter

"The number of hours she works at a coffee stand is 5 less than 2 times the number of hours she works at the animal shelter."

The number of hours at the coffee stand is

2x - 5

The total number of hours is 31, so x added to 2x - 5 must equal 31.

2x - 5 + x = 31

3x - 5 = 31

3x = 36

x = 12

She works 12 hours at the shelter.

help me please !!!




thank youuu

Answers

Answer:

Step-by-step explanation:

I am not entirely sure that this is correct, but I believe the interval notation of your point is (∞,-4). I hope this helps you!

Convert the following point from polar to Cartesian coordinates. Write the exact answer as an ordered pair. Do not round.(s. - 2)5.2.3

Answers

Answer::

[tex](-2.5,-2.5\sqrt{3})[/tex]

Explanation:

Given the point in polar coordinate:

[tex]\left(5,-\frac{2\pi}{3}\right)[/tex]

To convert to Cartesian coordinates, use the formula below:

[tex](x,y)=(r\cos\theta,r\sin\theta)[/tex]

Thus:

[tex]\begin{gathered} (x,y)=\left(5\cos\left(-\frac{2\pi}{3}\right),5\sin\left(-\frac{2\pi}{3}\right)\right) \\ =\left(5\times-\frac{1}{2},5\times-\frac{\sqrt{3}}{2}\right) \\ =(-2.5,-2.5\sqrt{3}) \end{gathered}[/tex]

The Cartesian coordinates are:

[tex](-2.5,-2.5\sqrt{3})[/tex]

Tyler’s monthly allowance is $42 dollars and Jeremiah’s allowance is $63. How many times Jeremiah’s monthly allowance is Tyler’s monthly allowance?

Answers

They are the same allowance when Tyler is on his 3rd month and Jeremiah is on his 2nd month. This is because 63-42=21 so every month Jeremiah is gaining $21 more every month so after the second month he gains exactly his monthly allowance more allowing for them to have the same amount of money when Tyler is on his 3rd month and Jeremiah is on his 2nd month.

What is the slope of the line that contains the points (9,-4) and (1,-5)?O A. -B. 1C. -1D. /718

Answers

Answer: D. 1/8

Explanation

The slope of the line can be calculated with:

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

where (x₁, y₁) and (x₂, y₂) are the two points given. Then:

• x₁ = 9

,

• y₁ = –4

,

• x₂ = 1

,

• y₂ = –5

Thus, replacing the values and simplifying:

[tex]m=\frac{-5-(-4)}{1-9}[/tex][tex]m=\frac{-5+4}{-8}[/tex][tex]m=\frac{1}{8}[/tex]

Find the value of x. Round to thenearest tenth.1.47 2.1ft2xx = [? ]ft=Enter

Answers

To find the value of x:

Consider the right angle triangle,

The opposite side is 1.4 ft

The adjacent side is x

The hypotenuse side is 2.1ft

Using Pythagoras theorem,

[tex]\begin{gathered} \text{Hyp}^2=\text{Opp}^2+\text{Adj}^2 \\ (2.1)^2=(1.4)^2+x^2 \\ 4.41=1.96+x^2 \\ x^2=4.41-1.96 \\ x^2=2.45 \\ x=1.5652 \\ x\approx1.57ft \end{gathered}[/tex]

Hence, the value of x is 1.57 ft.

Find the zeros by using the quadratic formula and tell whether the solutions are real or imaginary. F(x)=2x^2+6x–16

Answers

[tex]F(x)=2x^2+6x-16[/tex]

Where

a = 2

b = 6

c = -16

Using quadratic formula, we solve for x:

[tex]undefined[/tex]

The Rodriguez family has a fixed incomeof $4,000 a month. Their fixed expensesare $1,800 a month. They save at leastone fourth of the remaining income eachmonth. What is the minimum amountsaved by the Rodriguez family in a year?

Answers

we know that

The Rodriguez family has a fixed income of $4,000 a month.

Their fixed expenses are $1,800 a month

so

The remaining amount in a month is

4,000-1,800=$2,200

The one fourth of the remaining income is

(1/4)(2,200)=$550

To find out the minimum amount in a year, multiply $550 by 12

550*(12)=$6,600

therefore

the answer is$6,600

Find the value for k given the line through (-1, k) and (-7, -2) is parallel to the line y = x + 1.

Answers

The value of k is 4 , the line through (-1,k) and (-7, -2).

Given,

The line through (-1, k) and (-7, -2) is parallel to the line y = x + 1.

To find the value of k

Now, According to the question is:

For Parallel lines, We know that

It has same slope as y = x + 1

Also, We know y = x +1 has slope of 1.

Using the formula for the slope :

m = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

Now, For value k

We have, 1 = (-2-k)/(-7-1)

=> 1 = (-2-k)/(-6)

=> -6 = -2 -k

=> -6+2 = -k

=> k = 4

Hence, The value of k is 4.

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The sum o{ the squares of two
consecutive positive even integers
is one hundred. Find the two integers.

Answers

6 and 8 because:
6^2 = 36
8^2 = 64
64 + 36 = 100

Which choice is equivalent to the fraction below? (Hint: Rationalize the denominator and simplify.)A.B.C.2D.

Answers

Given: A fraction

[tex]\frac{2-\sqrt{2}}{2+\sqrt{2}}[/tex]

Required: To simplify the given fraction.

Explanation: The given fraction can be simplified by rationalizing the denominator of the fraction. The rationalizing factor is

[tex]2-\sqrt{2}[/tex]

Hence,

[tex]\begin{gathered} \frac{(2-\sqrt{2})}{2+\sqrt{2}}\times\frac{(2-\sqrt{2})}{(2-\sqrt{2})} \\ \frac{(2-\sqrt{2})^2}{(2)^2-(\sqrt{2}^{)2}} \end{gathered}[/tex]

Which gives

[tex]\begin{gathered} \frac{4+2-4\sqrt{2}}{4-2} \\ \frac{2(3-2\sqrt{2})}{2} \\ 3-2\sqrt{2} \end{gathered}[/tex]

Final Answer: Option A is correct.

what is -4 7/22 wrriten as a decimal

Answers

Answer:

-4.31818 or 2.13636

Step-by-step explanation:

I can't really tell how its written if it's -4 and 7/22 it would be -95/22 or -4.31818. if it is -47/22 it would be 2.13636. I did this by dividing the numerator by the denominator

Answer:

-4.31818 or -2.13636

Step-by-step explanation:

if its -4 and 7/22 then the first one and if its -47/22 then the second one

How many units can be obtained from f(x) =|x+7|−6 if the graph has been shifted down and left?

Answers

The translation we need to get f(x) is a translation of 7 units to the left and 6 units down.

Which shift do we have here?

I assume we want to identify the transformation that we need to apply to the parent absolute value function |x| in order to get f(x).

Remember that a horizontal translation of N units and a vertical translation of M units is written as:

y = |x - N| + M

In this case we have:

f(x) = |x + 7| - 6

Comparing it with the formula above, we get:

N = -7

M = -6

This means that we have a translation of 7 units to the left, and 6 units down.

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