what is b when the slope is 7/6 and the points are (10, -9)

Answers

Answer 1

Answer:

y = 7/6x - 62/3

Step-by-step explanation:

The equation for slope:

y = mx + b

m is the slope and b is the y-intercept

y = 7/6x + b

-9 = 7/6(10) + b

-9 = 35/3 + b

-62/3 = b


Related Questions

if 9^x=25, what does 3^x equal?

Answers

Answer:

[tex]3^x=5[/tex]

Step-by-step explanation:

Given:

[tex]9^x=25[/tex]

Rewrite 9 as 3²:

[tex]\implies (3^2)^x=25[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies 3^{2x}=25[/tex]

Apply the same exponent rule:

[tex]\implies (3^x)^2=25[/tex]

Square root both sides:

[tex]\implies \sqrt{(3^x)^2}=\sqrt{25}[/tex]

[tex]\implies 3^x=5[/tex]

When planning road development, the road commission estimates the future population using the function represented in the table, where x is the time in years and f(x) is the total population.



What is the significance of 160,000 in the function?

the maximum population of the city
the expected population in 5 years
the initial population at the time of the estimation
the amount of increase in the popu

Answers

Considering that 160,000 is the y-intercept of the function, it's significance is given by:

the initial population at the time of the estimation.

What is the y-intercept of a function f(x)?

The y-intercept is f(0), that is, the value of y when x = 0, which is interpreted as the initial value of the function.

Researching this problem on the internet, it is found that f(0) = 160,000, hence the significance of 160,000 in the function is given by:

the initial population at the time of the estimation.

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The additive inverse of an element of x of a set is the number, which when added to x gives the answer 0. In the set {-3, -2, -1, 0, 1, 2, 3}, what is the additive inverse of -2?

Answers

Answer:

2

Step-by-step explanation:

the additive inverse of - 2 is 2 , since

- 2 + 2 = 0

what is the square root of 10,000,000​

Answers

Answer:

1000√10

or 3162.2776601683795

Step-by-step explanation:

what is the square root of 10,000,000​?

√10000000

= √2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 x 5 x 5

= √26 x 2 x 56 x 5

= 1000√10

or 3162.2776601683795

What is the transformation of C(9, 3) when dilated with a scale factor of 1/3,
using the point (3, 6) as the center of dilation

Answers

The transformation of C(9, 3) when dilated with a scale factor of 1/3, using the point (3, 6) as the center of dilation would be an option B: C'(3,1).

What is Dilation transformation?

A dilation transformation is a transformation that changes the size of the original figure but the shape remains unchanged.

If any figure is dilated by a scale factor k with the center of dilation as the origin.

Then the change of transformation in each of the vertices of the figure is given:

(x,y) → (kx, ky)

It is given a point C which is located at C(9,3).

Hence, here k=3

We get:

C(9,3) → C'(9×3,3×3)

C(9,3) → C'(27,9) = C'(3,1)

Hence, the transformation of C(9, 3) when dilated with a scale factor of 1/3, using the point (3, 6) as the center of dilation would be an option B: C'(3,1).

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Answer:

(5,5)

Step-by-step explanation:

count from the center

Which ordered pair makes both inequalities true?

y < –x + 1

y > x

On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded.





(–3, 5)
(–2, 2)
(–1, –3)
(0, –1)

Answers

Inequalities help us to compare two unequal expressions. The correct option is B.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

For the given inequalities, the graph can be plotted as shown below. Now when the coordinates have been plotted the point that will satisfy both the inequalities is (-2,2).

Hence, the correct option is B.

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It costs $20 a day to rent a car and $30 for a full tank of gas. If Stacy fills up the tank 3 times and has the car rented for 14 days, how much does she owe?

Answers

Answer:

$20 × 14 days = $280

&30 × 3 = $90

&280 + $90 = $370

Answer:

For car she owes=

$20 x 14 = $280

For tank she owes=

$30 x 3 = $90

Therfore in total she owes,

$280 + $90 = $370

5/8 divided by 15/32

Answers

Answer: [tex]\frac{4}{3}[/tex] or about 1.333

Step-by-step explanation:

    We will use the "keep, change, flip" method to solve. Keep the first number the same, change the division to multiplication, and flip the second number so we have the reciprocal.

[tex]\displaystyle \frac{\frac{5}{8} }{\frac{15}{32} } \,\,\,\,\text{ becomes } \,\,\,\,\frac{5}{8} *\frac{32}{15} =\frac{5*32}{8*15} =\frac{160}{120} =\frac{4}{3}[/tex]

Answer: 4/3

Step-by-step explanation:

find the reciprocal of the divisor

15/32

32/15

Now multiply it with the dividend

5/8

15/32

=5/8

32/15

=5/32

8/15

=160/120

after reducing the fraction the answer is 4/3

in mix form 1 1/3

f(x)=x^2. which of these is g(x) ?

a. g(x)=(1/5x)^2
b. g(x)=5x^2
c.g(x)=(1/4x)^2
d.g(x)=1/5x^2

Answers

Answer:

a

Step-by-step explanation:

we know that g(x) means y therefore in this case let's suppose we have the coordinate (5;y) so we must find the corresponding y value

*DO THE TRIAL AND ERROR METHOD*

take any equation above and substitute the value of x of which is 5 and the corresponding value should be 1.

[tex]g(x) = (\frac{1}{5} x) {}^{2} [/tex]

What is the approximate length of the radius, r? use 3.14 for . round to the nearest inch. 12 inches 24 inches 38 inches 46 inches

Answers

Answer:

2×3.14×r=75

6.28 r=75

r=75/6.28=11.943=12 inch (nearly)

need help with work would give more points but poor​

Answers

Answer:

Step-by-step explanation:

2.5

4 quarts per gallon

8 quarts per 2 gallons

2 quarts is half a gallon since 4 quarts is a full gallon

answer: 2.5

change 5/8 to percentage

Answers

62.5% ………………… hope this helps

Answer: 62.5%

Step-by-step explanation:

First, you must simplify 5/8 into a decimal and then multiply that by 100 to get the percentage of the fraction.

[tex]\frac{5}{8}=0.625[/tex]     [tex]0.625*100=62.5[/tex]%

I hope this helps!! Pls give brainliest :)

Find the equation of the parabola that has zeros of x = - 6 and x = 6 and a y-intercept of (0, 4)

Answers

The equation of the parabola that has zeros of x = - 6 and x = 6 and a y-intercept of (0, 4) would be Y=-1/9(x^2-36).

What is the equation of the parabola that has zeros?

Since the zeros are symmetrical to the y axis, the equation can be written as;

y = a(x-b)(x+b),

where a is a scale factor and b is x-intercept.

From the given zeroes

y = A(x-6)(x+6).

Now we can plug in the y-intercept (0,4)

4 = A(0-6)(0+6)

4 = A(-36)

-36A=4

A = -1/9

Therefore the equation would be

Y = -1/9(x-6)(x+6),

or Y=-1/9(x^2-36)

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If price of 12 eggs is Rs. 192, how many eggs can be bought for Rs. 160?

Answers

Answer:

10

Step-by-step explanation:

First, divide 192 by 12, you get a unit rate of Rs. 16 per egg, then divide Rs. 160 by 16 and you get 10

The number of eggs that can be purchased at Rs. 160 is 10.

What is a division operator?

The division operator ( / ) has the quotient of its operands where the left operand exists the dividend and the right operand exists the divisor.

The cost of 12 eggs = Rs. 192

The cost of 1 egg = 192/12 = Rs. 16.

The number of eggs that can be purchased is Rs. 160 = 160/16 = 10.

Therefore, the number of eggs that can be purchased at Rs. 160 is 10.

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The Pine Scrub Rail Trail is 126 miles long. If the Willy-Nilly Bike Club rides 18 miles per day, how many days will it take them to ride from one end of the trail to the other?

A. 6 days

B. 9 days

C. 7 days

D. 8 days ​

Answers

126/18=7
it’s C. 7 days
C. 7 days (126miles/18miles per day)

help me solve this give steps as well please

Answers

The total cost of 6 wave pool tickets with the discount included would be $73.5.

How to calculate the total value of 6 tickets with the discount?

To calculate the total cost we must multiply the value of each ticket by the number of tickets to be purchased, in this case there are 6:

$12.25 × 6 = $73.5

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can disjunction introduction (either ∨il or ∨ir ) be used to derive any type of formula other than a disjunction?

Answers

It is impossible to use a disjunction introduction to derive any other type of formula besides disjunctive formulas.

What is Disjunction Introduction?

A rule of inference in propositional logic and virtually every other deduction system is referred to as disjunction introduction.

It is right to state that it is not possible to use a disjunction introduction to derive any other type of formula besides disjunctive formulas.

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What quadrant is the point (2, -5) in?

Answers

Answer:

quadrant 4

Step-by-step explanation:

(2,-5) would be in the 4th quadrant

what expression is equivalent to 1/3y

1. 1/3(y+12)-12
2. 1/6y+1/3(y+3)
3. 1/6y+1/6(y+12)-2
4. 1/3y+1/3(6-y)

Answers

The expression that is equivalent to 1/3y is 1/6y + 1/6(y + 12) - 1/6 * 12

How to determine the equivalent expression?

The expression is given as:

1/3y

Express 1/3y as 1/6y + 1/6y

So, we have:

1/6y + 1/6y

Factor out y

1/6y + 1/6(y)

Add 0 to the above equation

1/6y + 1/6(y + 0)

Express 0 as 12 - 12

1/6y + 1/6(y + 12 - 12)

Expand

1/6y + 1/6(y + 12) - 1/6 * 12

Evaluate the product

1/6y + 1/6(y + 12) - 2

Hence, the expression that is equivalent to 1/3y is 1/6y + 1/6(y + 12) - 1/6 * 12

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The expression that is equivalent to 1/3y is 1/6y + 1/6(y + 12) - 1/6 * 12

How to determine the equivalent expression?

The expression is given as:

1/3y

Express 1/3y as 1/6y + 1/6y

So, we have:

1/6y + 1/6y

Factor out y

1/6y + 1/6(y)

Add 0 to the above equation

1/6y + 1/6(y + 0)

Express 0 as 12 - 12

1/6y + 1/6(y + 12 - 12)

Expand

1/6y + 1/6(y + 12) - 1/6 * 12

Evaluate the product

1/6y + 1/6(y + 12) - 2

Therefore, the expression that is equivalent to 1/3y is 1/6y + 1/6(y + 12) - 1/6 * 12

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What is m∠M? I don't exactly remember how to do this type on problem...

Answers

Answer:

m∠M=98º

Step-by-step explanation

Sum of interior angles;

  3x-16+x+6+x = 180

                   5x = 180-6+16

                   5x = 190

                      x = 38º

Angle M;

      m<M= 3x - 16 = 3(38)-16= 98º

      m∠M=98º

Answer:

<M = 98

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

< M + < N + < O = 180

3x-16 + x + x+6 = 180

Combine like terms

5x - 10 = 180

Add 10 to each side

5x-10 + 10 = 180+10

5x = 190

Divide by 5

5x/5 = 190/5

x=38

We want to find <M

<M = 3x-16  = 3*38 -16 = 114-16 =98

Determine the most precise name for ABCD (parallelogram, rhombus, rectangle, or square). Explain how you determined your answer. You must support your answer using length or slope. A(3, 5), B(7, 6), C(6, 2), D(2, 1)

Answers

In the imaged attached, the most precise name for ABCD  is known to be rhombus.

What is the shape about?

Looking at the shape attached, one can see that the diagonals of a parallelogram are said to be bisecting one other and if it cross at right angles, it is said to be a rhombus.

Using the Diagonal midpoints of AC and BD, the equation will be:

(A+C)/2

(B+D)/2

To find if the midpoints are similar, then:

A +C = (3, 5) +(6, 2) = (9, 7)

B +D = (7, 6) +(2, 1) = (9, 7)

Therefore, from the solution above, the midpoints of the diagonals are the same, making the shape to be a parallelogram.

In terms of Diagonal vectors, the shape will be perpendicular when the figure is a rhombus. So:

 AC = C -A = (6, 2) -(3, 5) = (3, -3)

BD = D -B = (2, 1) -(7, 6) = (-5, -5)

So the lengths will be (3√2 vs 5√2).

Note also that the dot-product of these values need to be zero if they are perpendicular and as such:

 AC·BD = x1·x2 +y1·y2 = (3)(-5) +(-3)(-5) = -15 +15 = 0

Therefore, one can say that the diagonals are known to different length and are perpendicular bisectors, so the shape above is regarded as rhombus.

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Suppose that the lifetimes of tires of a certain brand are normally distributed with a mean of 74000 miles and a standard deviation of miles. these tires come with a -mile warranty. the manufacturer of the tires can adjust during the production process, but the adjustment of is quite costly. the manufacturer wants to set once and for all so that only of the tires will fail before warranty expires. find the standard deviation to be set. carry your intermediate computations to at least four decimal places. round your answer to at least one decimal place.

Answers

The standard deviation will be 6816.9645.

How to compute the standard deviation?

From the information given, the mean is 74000 and X is given as 60000.

P[(Z < (-60000 - 74000)/SD] = 0.02

Note that 0.02 will be -2.0537 under the normal distribution table.

-14000/SD = -2.0537

SD = -14000/-2.0537

SD = 6816.9645

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The pipe has a length 29cm, internal diameter 6.5cm and thickness 0.5cm. What is the Volume

Answers

Answer:

Length of pipe = 21 cm

Internal diameter = 4 cm

Internal radius = \frac{4}{2} = 2 cm24=2cm

Thickness = 0.5 cm

Outer radius = 2+0.5=2.5 cm

Volume of pipe =\pi R^2 h - \pi r^2 hπR2h−πr2h

Volume of pipe =\frac{22}{7} (2.5)^2 (21)-\frac{22}{7}(2)^2(21)=148.5 cm^3

=\frac{22}{7} (2.5)^2 (21)-\frac{22}{7}(2)^2(21)=148.5 cm^3722(2.5)2(21)−722(2)2(21)=148.5cm3

Hence The volume is 148.5 cubic cm.

#more

The thickness of a metal pipe is 1.5cm. The inner diameter is 21cm. What is the volume of metal required for a pipe of length 7cm

Help please.. z zzz z Z z z z z z z z z z z z z zz

Answers

The answer is option B.
It’s B I believe …..

What is the inverse of this function?
8v, for x > 0

Answers

Answer:

f(x) = (x/8)^2       for x ≥ 0

Step-by-step explanation:

y = 8 sqrt x      switch   x and y

x = 8 sqrt y       now solve for y

(x/8)^2 = y

Lily sold 18 items at the street fair. she sold bracelets for $6 each and necklaces for $5 each for a total of $101. which system of equations can be used to find b, the number of bracelets she sold, and n, the number of necklaces she sold? b n = 101 6b 5n = 18 b n = 101 5b 6n = 18 b n = 18 6b 5n = 101 b n = 18 5b 6n = 101

Answers

Answer:

[tex]b + n = 18[/tex]

[tex]6b + 5n = 101[/tex]

Which is an example of a statistical question? Questions Question 1 How many pets does Alisha have at home? Question 2 How old were you when you got your first pet? Do you like having a pet? Question 3 Question 4 What is Alisha's pet's name? question 1 O question 2 O question 3 O question 4​

Answers

Answer:

Do you like having a pet? - statistcal question

Step-by-step explanation:

^^^^

A surveyor is measuring the distance across a canyon. He sets up two similar right triangles and finds that the length of CD = 12 feet and the length of DE = 16 feet.

If △ABC ~ △EDC, what is the length side AB?

Answers

The length side AB is 64 ft , Option D is the correct answer.

What is a Right triangle ?

A triangle that has one angle 90 degree is called Right angled Triangle.

From the figure it can be seen that

The triangle CDE is a right Triangle

Applying Pythagoras theorem to find the length of CE

CE² = 12² + 16²

CE = 20 ft

As both the triangles are similar therefore the ratio of the sides will be equal

BC : CD = AC : CE

48 / 12 = AC / 20

AC = 80ft

As Triangle ABC is also a right angled triangle

Applying Pythagoras theorem to find the length of AB

AC² = BC² +AB²

6400 = 48² +AB²

AB² = 4096

AB = 64 ft

Therefore Option D is the correct answer.

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Answer:

64 ft.

Step-by-step explanation:

Keep it simple, just givin' the answer :)

Solve the following
[tex]5x-2= -9x+8[/tex]

Answers

Answer:

5x - 2 = (-9x) + 8

5x + 9x = 8 + 2

14 x = 10

x = 10 / 14

x = 5/7

Answer:

5 / 7

Step-by-step explanation:

Step 1: Move the variables to one side and the numbers to the other. We get 14x = 10.

Step 2: Then we solve for x. x is equal to 10 / 14, which simplifies to 5 / 7.

Find the length of side AB.
Give your answer to 3 significant figures.

Answers

Answer:

[tex]\huge\boxed{\sf AB = 8.86 \ cm}[/tex]

Step-by-step explanation:

Given:

θ = 41°

Hypotenuse = BC = 13.5 cm

Required:

opposite = AB = ?

We will use the trigonometric ratio of sin.

Solution:

[tex]\displaystyle sin \ \theta = \frac{opposite }{hypotenuse} \\\\sin \ 41=\frac{AB}{13.5} \\\\0.656 = \frac{AB}{13.5} \\\\0.656 \times 13.5 = AB\\\\8.86 \ cm = AB\\\\\boxed{ AB = 8.86 \ cm}\\\\\rule[225]{225}{2}[/tex]

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