Mathematics High School

Find the slope of the line whose equation is 5y = x - 3.

-3
-3/5
1/5
5

Answers

Answer 1

Answer:

1/5

Step-by-step explanation:

5y = x - 3

To find the slope of a line, we need to get the equation in the form y= mx+b where m is the slope and b is the y intercept

5y = x - 3

Divide each side by 5

5y/5   = x/5 - 3/5

y = 1/5 x - 3/5

The slope is 1/5 and the y intercept is -3/5

Answer 2

Answer:

1/5

Step-by-step explanation:

Related Questions

foil (ab - 9)(ab + 8)

Answers

Step 1: (ab-9)(ab+8)

Step 2: ab x ab +8 x ab -9 x ab -9 x 8

Step 3:  ab2  +8ab-9ab-72=

Step 4: ab2 -ab-72

solved!!! that how you would solve it everything will continue as normal

(ab)² + 8ab - 9ab - 72
a²b² - ab - 72

0.5(7d+4)=7−1.5d

solve for d

Answers

I can help!
Let's solve your equation step-by-step.0.5(7d+4)=7−1.5dStep 1: Simplify both sides of the equation.0.5(7d+4)=7−1.5d(0.5)(7d)+(0.5)(4)=7+−1.5d(Distribute)3.5d+2=7+−1.5d3.5d+2=−1.5d+7Step 2: Add 1.5d to both sides.3.5d+2+1.5d=−1.5d+7+1.5d5d+2=7Step 3: Subtract 2 from both sides.5d+2−2=7−25d=5Step 4: Divide both sides by 5.5d5=55d=1Answer:d=1


What is the multiple zero and multiplicity of f(x) = x3 − 8x2 + 16x?



multiple zero = −4; multiplicity = 2


multiple zero = 2; multiplicity = 4


multiple zero = 4; multiplicity = 2


multiple zero = 2; multiplicity = −4









Answers

Answer:

B

Step-by-step explanation:

If you divide x so only x and a number remains, you will get B.

[tex]f(x) = x^{3} - 8x^{2} + 16x[/tex] has multiple zero = 4; multiplicity = 2.

What is multiple zero and multiplicity?

" A multiple zero has the multiplicity which represents the number of times linear factor of multiple zero occur in the polynomial .Zero of the polynomial is associated with multiple zero."

According to the question,

Given,

[tex]f(x) = x^{3} - 8x^{2} + 16x[/tex]

       

Simplify the given polynomial to get the multiple zero and multiplicity,

[tex]f(x) = x^{3} - 4x^{2}- 4x^{2} + 16x[/tex]

       [tex]\implies x^{2} (x-4) -4x(x-4)=0\\\\\implies (x^{2} -4x)(x-4) =0\\\\\\\implies (x) (x-4)(x-4)=0\\\\\implies x(x-4)^{2} =0[/tex]

Zero is associated with x =4.

(x-4) occur twice.

Hence, multiple zero = 4 and multiplicity = 2 of the given function.

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If Jeremy walks 2 miles in 74 minutes, then how far will Jeremy walk in 84 minutes?

Answers

2.27miles in 84 minutes

To find how far Jeremy will walk in 84 minutes, set up a proportion relating time and distance covered.

To find the distance he walks in 84 minutes, you can set up a proportion: 2 miles / 74 minutes = x miles / 84 minutes.

Solving for x, Jeremy will walk approximately 2.27 miles in 84 minutes. Jeremy walks at a speed of 2 miles in 74 minutes.

How many solutions does the equation have?y+7=y–3many solutions1 solutionno solutions?

Answers

No solution
Subtract y on both sides, giving you...
7= -3
Which is false

A square has an area of 121 yd^2 what is the length of each side

Answers

A=s^2 = 121 sq in. 
a= 11 inches

The side of the square having an area of 121 yards² is 11 yards

What is the area of a square?

A square is a 4 sided polygon where all the sides are of equal length.

The area of the square is the square of any one of its side

Let a be the side of the square

Area of the square = a²

Given data ,

Let the area of the square be Y = 121 yards²

Now , let the side of the square be = a

And the equation for the area of the square is

Area of the square = a²

where a is the side of the square

So , substituting the values in the equation , we get

a² = 121 yards²

Taking square root on both sides , we get

a = 11 yards

Therefore , the value of a is 11 yards

Hence , The side of the square having an area of 121 yards² is 11 yards

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What steps would you do to solve n/7 + 3 ≥ -4? Multiply by seven, then subtract three. Add three, then multiply by seven. Subtract three, then multiply by seven. Subtract three, then divide by seven.

Answers

Step 1: Simplify both sides of the inequality.17n+3≥−4

Step 2: Subtract 3 from both sides.17n+3−3≥−4−317n≥−7

Step 3: Multiply both sides by 7.7*(17n)≥(7)*(−7)n≥−49

Answer:n≥−49

What is the term for the point where angle bisectors of a triangle meet?

Answers

The three perpendicular bisectors of the sides of a triangle meet in a single point,called the circumcenter . A point where three or more lines intersect is called a pointof concurrency. So, the circumcenter is the point of concurrency of perpendicular bisectors of a triangle.
I think the answer is circumcentre

Helppppp plzz quickkk

Answers

Im sure the answer would be D

he hiked 4 km east in 45 minutes

45 minutes = 3/4 of an hour

4 /.75 = 5.33

 so the answer would be D. 5.3 km per hour east

HELP!! WHAT IS THE VALUE OF X ?

Answers

You are right!!!!!!!!!!!!!!!

Round 103.468 to the nearest liter

Answers

You can not round to a litre it is a measurement of something. Or your asking for 103 litres

53 plz help me with this

Answers

3 large beads cost 2.50 * 3 = 7.50

30-7.50 = 22.50

20-7.50 = 12.50

 so they can spend between 12.50 and 22.50 on small beads

12.50 / 1.25 = 10

22.50/1.25 = 18

can buy between 10 and 18 small beads

1.25x >=12.50 and 1.25x<=22.50

Which logical form represents this statement?
Either it is not cold today or i am wearing woolen coat.
p: It is cold today.
q: I am wearing woolen coat.

~p ∧~q
~p ∧ q
~p ∨ q
~(p∨ q)

Answers

The third choice.
That's what I put for my answer.

Answer:

The correct answer is:

~p ∨ q

Step-by-step explanation:

p: It is cold today.

q: I am wearing woolen coat

~p: It is not cold today

V represents either...or...

Hence, ~p V q represents:  

Either it is not cold today or i am wearing woolen coat.

Hence, the correct option is:

~p ∨ q

Find the missing angle.

Answers

check the picture below.

make sure your calculator is in Degree mode.

but will run you about 36.8698976458°  and  53.13010235415598°.

rewrite the standard form equation below into slope-intercept form. x-2y=3 A. y=x+3 By=-3/2x-1/2 C.y=3/2x-1/2 D.y=1/2x-3/2

Answers

Let us start converting!

[tex]x-2y=3 \ \textgreater \ \mathrm{Subtract\:}x\mathrm{\:from\:both\:sides} \ \textgreater \ x-2y-x=3-x [/tex]

[tex]-2y=3-x \ \textgreater \ \mathrm{Divide\:both\:sides\:by\:}-2 \ \textgreater \ \frac{-2y}{-2}=\frac{3}{-2}-\frac{x}{-2}[/tex]

[tex]\frac{-2y}{-2} \ \textgreater \ \mathrm{Apply\:the\:fraction\:rule}:\ \frac{-a}{-b}=\frac{a}{b} \ \textgreater \ \frac{2y}{2}[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1 \ \textgreater \ y[/tex]

[tex]\frac{3}{-2}-\frac{x}{-2} \ \textgreater \ \mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c} \ \textgreater \ \frac{3-x}{-2} [/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\ \textgreater \ -\frac{-x+3}{2} \ \textgreater \ y = -\frac{3-x}{2}[/tex]

[tex]Therefore... y=\frac{1}{2}x-\frac{3}{2} (Note: m=\frac{1}{2},\:b=-\frac{3}{2}) [/tex]

M is the slope and b is the y intercept.

Hope this helps!



What number gives a result of -5 when 11 is subtracted from the quotient of the number and 6?

Answers

This word equation is equivalent x/6-11=-5. Simplifying this will get you x=36.

Final answer:

The answer explains how to find a number from an equation involving subtraction and division, providing step-by-step instructions.

Explanation:

To find the number that gives a result of -5 when 11 is subtracted from the quotient of the number and 6, we can create an equation:

Let the number be x.

The equation becomes: x/6 - 11 = -5

Solve for x:

Add 11 to both sides: x/6 = 6

Multiply both sides by 6: x = 36

Therefore, the number is 36.

4747​% of men consider themselves professional baseball fans. you randomly select 10 men and ask each if he considers himself a professional baseball fan. find the probability that the number who consider themselves baseball fans is​ (a) exactly​ five, (b) at least​ six, and​ (c) less than four.

Answers

Given:
p = 47% = 0.47, the probability that a man considers himself a professional baseball fan.
q = 1 - p = 0.53, the probability that a man does not consider himself a professional baseball fan.
n = 10, the number of men surveyed.

(a) Calculate the probability that exactly 5 of 10 men surveyed consider themselves as professional baseball fans.
P(5 of 10) = ₁₀C₅ p⁵q⁵ = 252*0.47⁵*0.53⁵ = 0.242

Answer: 0.242 or 24.2%

(b) Calculate the probability of at least 6 out of 10.
P(at least 6 of 10)
= ₁₀C₆ p⁶q⁴ + ₁₀C₇ p⁷q³ + ₁₀C₈ p⁸q² + ₁₀C₉ p⁹q + ₁₀C₁₀ p¹⁰ q⁰
= 0.1786 + 0.0905 + 0.0301 + 0.0059 + 0.0
= 0.3057

Answer: 0.3057 or 30.6%
 
(c) Calculate the probability of less than 4 of 10.
P(less than 4 of 10)
= ₁₀C₁ pq⁹ + ₁₀C₂ p²q⁸ + ₁₀C₃ p³q⁷
= 0.0155 + 0.0619 + 0.1464
= 0.2238

Answer: 0.2238 or 22.4%

The situation represents a binomial probabilty with the probability of success (p) = 47% or 0.47 and the number of trials (n) = 10.

The probability of a binomial distribution is given by:

[tex]P(X)=\left(^n_x)p^x(1-p)^{n-x}[/tex]


Part A:

The probability that the number who consider themselves baseball fans is​ exactly​ five is given by:

[tex]P(5)=\left(^{10}_{\,5}\right)(0.47)^5(1-0.47)^{10-5} \\ \\ =252(0.022935)(0.041820)=\bold{0.2417}[/tex]



Part B:

The probability that the number who consider themselves baseball fans is​ at least​ six is given by:

[tex]P(X\geq6)=P(6)+P(7)+P(8)+P(9)+p(10) \\ \\ =\left(^{10}_{\,6}\right)(0.47)^6(1-0.47)^{10-6}+\left(^{10}_{\,7}\right)(0.47)^7(1-0.47)^{10-7} \\ +\left(^{10}_{\,8}\right)(0.47)^8(1-0.47)^{10-8}+\left(^{10}_{\,9}\right)(0.47)^9(1-0.47)^{10-9} \\ +\left(^{10}_{10}\right)(0.47)^{10}(1-0.47)^{10-10} \\ \\ =210(0.010779)(0.078905)+120(0.005066)(0.148877) \\ +45(0.002381)(0.2809)+10(0.001119)(0.53)+1(0.000526)(1) \\ \\ =0.1786+0.0905+0.0301+0.0059+0.0005=\bold{0.3056}[/tex]

This can be approximated using normal distribution as I will illustrate in part c.



Part C:

The probability that the number who consider themselves baseball fans is​ less than four is given by:

[tex]P(X\ \textless \ 4)=P(0)+P(1)+P(2)+P(3)[/tex]

We can approximate this using normal distribution by subtracting 0.5 from the least value and adding 0.5 to the greatest value.

This gives [tex]P(0-0.5\ \textless \ X\ \textless \ 3+0.5)=P(-0.5\ \textless \ X\ \textless \ 3.5)[/tex]

The mean of a binomial distribution is given by [tex]\mu=np[/tex], while the standard deviation is given by [tex]\sigma= \sqrt{np(1-p)} [/tex].

Thus,

[tex]\mu=10(0.47)=4.7 \ and \ \sigma=\sqrt{10(0.47)(0.53)}=1.578[/tex]

The probability of a nomal distribution between two values (a, b) is given by:

[tex]P(a\ \textless \ X\ \textless \ b)=P\left( \frac{b-\mu}{\sigma} \right)-P\left( \frac{a-\mu}{\sigma} \right)[/tex]

Thus,

[tex]P(-0.5\ \textless \ X\ \textless \ 3.5)=P\left( \frac{3.5-4.7}{1.578} \right)-P\left( \frac{-0.5-4.7}{1.578} \right) \\ \\ =P(-0.7605)-P(-3.295)=0.2235-0.0005=\bold{0.223}[/tex]

The number of random samples (without replacement) of size 3 that can be drawn from a population of size 5 is ___

Answers

5 size 3's are needed because there is a population of five size 3's.

I thought this was much more easier for you! :)

Answers

Problem 1)

The base of the exponential is 12 which is also the base of the log as well. The only answer choice that has this is choice B.

======================================================================
Problem 2)

log(x) + log(y) - 2log(z)
log(x) + log(y) - log(z^2)
log(x*y) - log(z^2)
log[(x*y)/(z^2)]

Answer is choice D

======================================================================
Problem 3)

log[21/(x^2)]
log(21) - log(x^2)
log(21) - 2*log(x)

This matches with choice B

======================================================================
Problem 4)

Ln(63) = Ln(z) + Ln(7)
Ln(63)-Ln(7) = Ln(z)
Ln(63/7) = Ln(z)
Ln(9) = Ln(z)
z = 9

======================================================================
Problem 5)

Ln(5x-3) = 2
5x-3 = e^2
5x = e^2+3
x = (e^2+3)/5

This means choice A is the answer

Determine f(2) where f(x)= x+1/4x-2

Answers

F(2)= (2)+1/4(2)-2
F(2)=3/6
F(2)= 1/2

△EFG≅△JKL. What is m∠K?

Answers

Download the app Photomath that will help you

Answer:

62

Step-by-step explanation:

What property of equality is used to transform equation 1 to equation 2?

Equation 1: 35 = 5x
Equation 2: 7 = x


addition Property of Equality

subtraction Property of Equality

multiplication Property of Equality

division Property of Equality

Answers

Multiplication property of equality

Final answer:

The division Property of Equality is used to transform Equation 1 (35 = 5x) into Equation 2 (7 = x) by dividing both sides of the equation by 5.

Explanation:

The property of equality used to transform Equation 1 (35 = 5x) to Equation 2 (7 = x) is the division Property of Equality.

This property states that if you divide both sides of an equation by the same non-zero number, the two sides remain equal. To get from Equation 1 to Equation 2, both sides of Equation 1 are divided by 5.

Division is similar to multiplication in that it follows the same rules for signs and equality. When dividing both sides by the same number, the numerator and denominator cancel out if they are the same, leaving a value of 1.

For instance, dividing 5x by 5 will lead to x, and dividing 35 by 5 will give 7, hence 7 = x, which is Equation 2.

I need the answer for 9

Answers

The sum of the measures of the angles of a polygon of n sides is 180(n - 2).

Set that expression equal to 1800 and solve for n, the number of sides.

180(n - 2) = 1800

Divide both sides by 180

n - 2 = 10

Add 2 to both sides

n = 12

The polygon has 10 sides.
Sum of Interior Angles = (n-2) × 180°
so you can use this to find out how many sides of this polygon

 (n-2) × 180° = 1800
 n - 2 = 10
      n = 12

this polygon has 12 sides

Bonnie filled her car’s tank. She put in 10 1/2 gallons and paid $15.26. Determine the cost of gasoline per gallon.

Answers

So, it starts off with 10 half gallons. 10*1/2 is 5, so in other words she put in 5 gallons and paid 15.26. As an equation it can be represented by 5x=15.26 where x is the cost of the gallons which is what we're trying to find. We can solve by using the division property of equality and divide both sides by 5. This gets us x=3.052. So, it costs $3.052 exactly for a gallon of gasoline.

What is the number to the right of the decimal point called?

Answers

Tenths. Hope this helped.

solve the following equation by completing the square

Answers

answer is (x-1)and (x-2).First make the equation 3x^2- 9x+6=0. then divide both sides by 3 and then the two factors are (x-1)(x-2)

Find the sum of each group of numbers. You may add the numbers in any order. Then, check your work by adding the numbers again in a different order. a. 110, 83, and 328 b. 92, 37, 14, and 66 c. 432, 11, 157, and 30

Answers

The sum of each group of numbers are as follows:
1. 110 + 83 + 328 = 521
2. 92 + 37 + 14  + 66 = 209
3. 432 + 11 + 157 + 30 = 630
It does not matter how much you re-arrange the numbers in each group, you will keep arriving at the same answers, this is because the sum of a particular set of numbers will always remain the same.

Answer:

1. 110 + 83 + 328 = 521

2. 92 + 37 + 14  + 66 = 209

3. 432 + 11 + 157 + 30 = 630


Your company gives you a cell phone plan which allows you 600 minutes to talk per month. So far this month, you have used 330 minutes and you have 10 days left on this month's plan. Which inequality could you use to determine how many minutes at most you can use per day so that you don't go over your monthly plan minutes?

A.)10x+330≥600

B.)10x+330>600

C.)10x+330≤600

D.)10x+330<600

Answers

The answer is C) 10x + 330 ≤ 600. 
We use the ≤ since you are allowed to use the 600th minute.
When we subtract 330 from both sides, it makes a bit more sense
10x ≤ 270
270 is the number of minutes left your plan since you've already used 330, and you have 10 days left in the month. 

Point m is the midpoint between A (-4,4) and B(-1,-6) find the location of M

Answers

Point M is the middle point, or also referred to as midpoint. It is the point on a line segment that divides the segment in two congruent segments. Between A(-4,4) and B(-1,-6) the point M would be:
((x1+x2)/2,(y1+y2)/2), where x1=-4, x2=-1, y1=4 and y2=-6
So, we have
M=(-4-1/2,4-(-6)/2)
M=(-5/2, 5)



If you horizontally stretch the quadratic parent function, f(x) = x2, by a factor of 5, what is the equation of the new function?

A. g(x) = (5x)2
B. g(x) = x2
C. g(x) = 5x2
D. g(x) = (x)2

Answers

Answer:

g(x)= (1/5x) ^2

Step-by-step explanation:

Just did the test got a 100.

The function f(x) = x² after stretching horizontally by a factor of 5 will be g(x) = [(1/5)x]² so none of the given option are correct.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

If we streatch a function f(x) horizontally by factor of c then the value of new function g(x) become f(x/c)

By stretching f(x) by 5 it will  be

g(x) = f(x/5)

So replace x → x/5

Since,f(x) = x²

So,

g(x) = (x/5)²

Hence "The function f(x) = x² after stretching horizontally by a factor of 5 will be g(x) = [(1/5)x]²".

For more about the function,

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