Use the order pairs to find the linear equation in slope intercept form
(0,10) & (3,2)

Answers

Answer 1

[tex]y = \frac{-8}{3}x + 10[/tex] is the equation in slope intercept form

Solution:

Given points are (0, 10) and (3, 2)

We have to find the slope intercept form

Let us first find the slope of line

The slope of line is given as:

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

Here,

[tex](x_1, y_1) = (0, 10)\\\\(x_2, y_2) =(3,2)[/tex]

Substituting the values we get,

[tex]m = \frac{2-10}{3-0}\\\\m = \frac{-8}{3}[/tex]

The equation of line in slope intercept form is given as:

y = mx + c ------- eqn 1

Where, "m" is the slope of line and "c" is the y intercept

Substitute [tex]m = \frac{-8}{3}[/tex] and (x , y) = (0, 10) in eqn 1

[tex]10 = \frac{-8}{3} \times 0 + c\\\\c = 10[/tex]

[tex]Substitute\ m = \frac{-8}{3}\ and\ c = 10\ in\ eqn\ 1[/tex]

[tex]y= \frac{-8}{3}x + 10[/tex]

Thus the equation of line in slope intercept form is found


Related Questions

pls help!
Multiply the following polynomials. 3x3(5x2+4x)
8x6+7x3
15x6+12x4
15x6+12x3
15x5+12x4
8x5+7x4
15x5+12x3

Answers

Answer:

78

Step-by-step explanation:

you multiply

Answer:

15x^9+12x^4

b is the answer

The pet store has 20 mice: 11 are white, five are
grey, and four are brown. If the pet storeowner
randomly chooses a mouse for the window
display, what is the probability that the mouse
will be grey?

Answers

Answer:

The answer is: 5/20 or a 25% chance

Final answer:

The probability that the pet store owner randomly selects a grey mouse for the window display is 0.25 or 25%.

Explanation:

The question asks for the probability of selecting a grey mouse from a pet store that has a total of 20 mice consisting of 11 white, 5 grey, and 4 brown mice. To find the probability, we use the ratio of the number of grey mice to the total number of mice.

The formula for probability is:

Probability (P) = Number of favorable outcomes / Total number of outcomes

We apply the formula as follows:

P(grey mouse) = Number of grey mice / Total number of mice = 5 / 20 = 0.25 or 25%

Therefore, the probability that the pet store owner selects a grey mouse for the window display is 25%.

Expression equivalent to (0.28t-0.3)-(0.7t-0.28)?

A. 0.42t+0.58
B. -0.42t-0.02
C. 0.42t-0.02
D. -0.42t+0.58

Please help!

Answers

B because it obviously can’t be any other

In September, Jerry read for 2/5 of an hour every day for 20 days. How many
hours did he read in September?
Show your work.​

Answers

Answer:

Step-by-step explanation:

- 2/5 of an hour is equal to 24 min

- 24 times 20 is 480 minuets during September

- 480 minuets is 8 hours

Answer ........................
(1)
Section 3
Mr. Lenny paid $1480.00 for 4 cricket balls and 2 cricket bats. The cost of 1 cricket bat is twice as
much as a ball. What is the cost of 1 cricket ball and 1 cricket bat?
Answer.
.
.
.
.
....(
4)​ (answer with explanation)

Answers

Answer:

The cost of one cricket bat is $370, while the cost of one cricket ball is $185.

Step-by-step explanation:

Let's identify what we already know:

1) Mr. Lenny paid a TOTAL of $1480.00 for 4 cricket balls, and two cricket bats.

2) The cost of one cricket bat is twice as much as a cricket ball.

We can create an initial equation:

(4 times x) + (2 times y) = $1480.00

x is the price of one cricket ball, while y is the price of one cricket bat. Considering how the problem is set up, I know the 4 balls should add up to the same price as two bats.

So, the four balls should equal half of $1480, which is $740, and the two bats should also equal $740.

Calculate it out, and you'll find that one cricket bat equals $370, while one ball equals $185.

Final answer:

The question can be solved by representing the cost of a ball as x and bat as 2x, forming the equation 4x + 2(2x) = 1480. Solving this equation finds the cost of the individual cricket ball and bat.

Explanation:

In this question, we know that the cost of one cricket bat is twice the cost of a cricket ball, and that Mr. Lenny bought 4 cricket balls and 2 cricket bats for $1480.00. To solve for the individual price of each item, we can use the method of substitution in algebra.

Let's represent the cost of a ball as x and a bat as 2x. This becomes an equation of 4x (cost of 4 balls) + 2(2x) (cost of 2 bats) = 1480.

Solving for x will give us the cost of one cricket ball, and multiplying the value of x by 2 will offer the cost of a single cricket bat.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ12

Julia bought 12 bags of cucumber seeds. each bag contains 42 seeds. if she plant one half of the seeds how many seeds does she have left

Answers

Answer:

She will have 252 seeds left.

Step-by-step explanation:

12 x 42 = 504

504 ÷ 2 = 252

So, she will have planted 252 seeds and she will have 252 seeds left to plant.

Final answer:

Julia has 252 seeds left after planting half of the seeds.

Explanation:

To find out how many seeds Julia has left, we first need to determine the total number of seeds she has. Julia bought 12 bags of cucumber seeds, and each bag contains 42 seeds. So the total number of seeds she has is 12 bags × 42 seeds per bag = 504 seeds.

If Julia plants one-half of the seeds, she would be planting 504 seeds × 1/2 = 252 seeds.

To find out how many seeds she has left, we subtract the number of seeds she planted from the total number of seeds she initially had. 504 seeds - 252 seeds = 252 seeds left.

which value of x is in the solution set of the following inequality?​

Answers

The right answer is Option 2.

Step-by-step explanation:

Given inequality is;

-3x+5>17

Solving the inequality

Subtracting 5 from both sides of the inequality;

[tex]-3x+5-5>17-5\\-3x>12[/tex]

Dividing both sides of inequality by -3;

[tex]\frac{-3x}{-3}>\frac{12}{-3}\\\\x>-4[/tex]

The solution to the inequality is -4.

The right answer is Option 2.

Keywords: subtraction, division

Learn more about subtraction at:

brainly.com/question/12884373brainly.com/question/12896802

#LearnwithBrainly

5+15x=5( ) I'm not writing 20 characters

Answers

Answer:

(1 + 3x).

Step-by-step explanation:

We have to evaluate the missing term within the brackets in the following equation.

The equation is, 5 + 15x = 5(?)

Now, 5 + 15x

= 5 × 1 + 5 × 3x {We have to factorize the term where 5 is a factor}

= 5(1 + 3x) {This is reverse of the distributive property of multiplication}

Therefore, the missing term within the brackets is (1 + 3x). (Answer)

Gilberto’s grandfather gives him $5 for his birthday and then $.50 for each math question he answers correctly on his math exams for the year. Write an equation that represents the amount of money that Gilberto receives during the school year. Explain what the variables and numbers mean.

Answers

Answer:

Therefore total amount of money that he got is = $(5+0.50x)   [ x = number of correct math]

Step-by-step explanation:

Given, Gilberto's grandfather gives him $5 for his birthday and then$0.50 for each math he answers correctly on his math exam for the year.

Let , the number of math that he answers correctly on his his math exam for the year is x

Therefore he got = $(0.50× x) =$ 0.50x for doing correct math.

Therefore total amount of money that he got is = $(5+0.50x)   [ x = number of correct math]

Solve for x: 14-14x^1/3 =2

Answers

Answer: 216/343 or 0.6297

Step-by-step explanation:

[tex]14-14x^{1/3} = 2\\14 -2 = 14x^{1/3}\\12 = 14x^{1/3}\\\frac{12}{14} =x^{1/3}\\\frac{6}{7} =x^{1/3}\\(\frac{6}{7})^3 =(x^{1/3})^3\\\frac{6^3}{7^3} =x\\\\\frac{216}{343} = 0.629737609 = x[/tex]

The area of a rectangle is 54x^9y^8 square yards. If the length of the rectangle is 6x^3y^4 yards, which expression represents the width of the rectangle in yards?

60x^12y^12
9x^3y^2
9x^6y^4
48x^6y^4

Answers

Answer:

9 x⁶y⁴

Step-by-step explanation:

for a rectangle

area = length x width, (rearranging)

width = area / length

given area = 54x⁹y⁸ and length = 6x³y⁴

width = 54x⁹y⁸ / 6x³y⁴

= (54/6) ( x⁹y⁸ / x³y⁴)

= 9 ( x⁹y⁸ / x³y⁴)

= 9 ( x⁹⁻³y⁸⁻⁴ )

= 9 ( x⁶y⁴ )

= 9 x⁶y⁴

The expression represents the width of the rectangle in yards is 9 x⁶y⁴.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

For a rectangle

width = area / length

The given area = 54x⁹y⁸ and length = 6x³y⁴

width = 54x⁹y⁸ / 6x³y⁴

= (54/6) ( x⁹y⁸ / x³y⁴)

= 9 ( x⁹y⁸ / x³y⁴)

= 9 ( x⁹⁻³y⁸⁻⁴ )

= 9 ( x⁶y⁴ )

= 9 x⁶y⁴

Hence, the expression represents the width of the rectangle in yards is 9 x⁶y⁴.

Learn more about the area;

https://brainly.com/question/1658516

#SPJ6

3/3 as a whole number

Answers

Answer:1

Step-by-step explanation:

3 full parts out of 3 is 1

Answer:

1

Step-by-step explanation:

Any number over itself always simplifies to 1

If 130 is invested in a savings account that earns 4% interest per year, which of the following is closest to the amount in the account at the end of 10 years

Answers

The answer would be 182
4% of 130 = 5.2
5.2 x 10yrs = 52
130 + 52 = 182

Which of these statements are correct about a line segment with a length of 12 units in a coordinate plane? Select all that apply.

Answers

Correct statements are:

If it is reflected across the y-axis, its length still will be 12 units.

If it is rotated 270° about the origin, its length still will be 12 units.

If it is translated 15 units up, its length still will be 12 units.

Step-by-step explanation:

Whatever it may be rotation, reflection or translation, the size of the line will never change. So length of the line is same as 12 units in the image.

So the wrong statements are

If its reflected across y = -x then the length will no longer be 12 units.

If it is rotated 90° about the origin, then the length will no longer be 12 units.

If it is translated 18 units to the right,  then the length will no longer be 12 units.

You can use the fact that reflection, rotation or translation, all three are not modifying the line itself and only its position can change. Whatever be the position, if the line segment itself isn't modified, the length will be same.

Thus, the correct choices are:

Option A: If it is reflected across the y-axis, the length will still be 12 units.Option B: If it is rotated 270° about the origin, its length still will be 12 units.Option E: If it is translated 15 units up, its length still will be 12 units.

Rest of the choices are wrong since they blame reflection or rotation or translation to modify the length of that line segment.

Why is the length of a line segment not modified when it is reflected along an axis, rotated or translated by some units in some direction?

Suppose you've got a baseball stick. Will it's length change when you take it somewhere else like from your home to playground? No. Will its length change if you hold it upside down? No.

This is the same case with line segment being rotated, reflected, or translated. All these processes do not change the line segment's length and can just move that line segment from one position to other.

Using above conclusion to find the correct options in the given context

Since reflection, rotation, or translation won't affect the length of the line segment,.

Thus, the correct choices are:

Option A: If it is reflected across the y-axis, the length will still be 12 units.Option B: If it is rotated 270° about the origin, its length still will be 12 units.Option E: If it is translated 15 units up, its length still will be 12 units.

Rest of the choices are wrong since they blame reflection or rotation or translation to modify the length of that line segment.

Learn more about reflection, rotation and translation of line segment here:

https://brainly.com/question/17201260

Write 2.14 in word form

Answers

Answer:

two dollars and fourteen cents

Step-by-step explanation:

Answer:two point fourteen

Step-by-step explanation:

Micah is preparing for a piano recital. He practices for 50 minutes on Monday and 90 minutes on Wensday

Answers

Answer:

She increased 80% the practise time

Step-by-step explanation:

The question is incomplete, the following is missing:

by how much did she increase the time she practised each day?

From Monday to Wednesday she increased 90 - 50 = 40 minutes  the practise time.

To compute the increment as a percentage use: increment/reference *100

In this case, that is: 40/50*100 = 80%, where 50 minutes is taken as a reference.

Answer: increased by 40

she increased by 80%

Step-by-step explanation:

If an intercepted arc measures 124°, what is the measure of its inscribed angle? the same, 124° twice the measure, 248° half the measure, 62°

Answers

Answer:

The correct option is C.) half the measure 62°

Step-by-step explanation:

i) Intercepted arc measures 124°

ii) The measure of the inscribed angle will be half of the intercepted arc

  therefore inscribed angle  = 124° / 2 = 62°

iii) Therefore the correct option is C.) half the measure 62°

Final answer:

The measure of an angle inscribed in a circle is half the measure of its intercepted arc. Therefore, if the intercepted arc is 124°, the inscribed angle would be 62°.

Explanation:

This problem is related to the relationship between arcs and inscribed angles in circles. In geometry, there's a specific rule that states: the measure of an angle inscribed in a circle is half the measure of its intercepted arc.

Therefore, if the intercepted arc measures 124°, its inscribed angle would have half the measure, or 62°. If the inscribed angle were to have the same measure, it would imply that the arc measure was double the angle, which is not the case here.

Learn more about Arcs and Inscribed Angles here:

https://brainly.com/question/16044660

#SPJ3

what is (4x + 3) + (-2x + 4)

Answers

Answer:

(4x + 3) + (-2x + 4) = 2x + 7  

Step-by-step explanation:

(4x + 3) + (-2x + 4) =     you then collect like terms  

(4x + -2x) + (3 + 4)= like this, and you add what's inside perenthesis

= 2x + (3 + 4). step-by-step

= 2x + 7.  then that is how you get =2x+7

Answer:

The answer to your equation would be 2x + 7.

Step-by-step explanation:

4x + 3 + -2x + 4

= (4x + -2x) + (3 + 4)

= 2x + (3 + 4)

= 2x + 7

Therefor, your answer would be 2x + 7.

Solve 3(x - 2) < 18.

{x | x < 8}
{x | x > 8}
{x | x < -8}
{x | x > -8}

Answers

Answer:

3x - 6 < 18

3x < 24

x < 8

answer is a

LULUI VIEW
If f(x) = 4x and g(x)= x4 - 2, what is go f(x)?

Answers

Answer:

256[tex]x^{4}[/tex] - 2

Step-by-step explanation:

To evaluate (g ○ f )(x), substitute x = f(x) into g(x)

g(4x) = [tex](4x)^{4}[/tex] - 2 = 256[tex]x^{4}[/tex] - 2

Which of the following best describes the situation below?
The number of miles a car can run depends on the gallons of gasoline in the
tank.
O
O
O
A. A relation that is not a function
B. A relation that is a function
C. The range of a function
D. The domain of a function

Answers

Answer:

c

Step-by-step explanation:

Final answer:

The situation described where the number of miles a car can run depends on the gallons of gasoline in the tank is a relation that is a function. Because for each amount of gas, there is one corresponding maximum distance the car can travel.

Explanation:

The situation described illustrates a relation that is a function. In this case, the amount of gasoline (in gallons) in the car's tank is the input or the independent variable (the domain), and the distance the vehicle can travel (the output or dependent variable) is a function of this input. For each amount of gasoline, there is only one corresponding maximum distance the car can travel, so this is a function. Thus, the best answer is B. A relation that is a function.

Learn more about Function here:

https://brainly.com/question/30721594

#SPJ2

300,000+900+4
write this number in standard form

Answers

Answer:

300,904

Step-by-step explanation:

The answer is 300,904 and that’s the correct answer

Solutions to -8x + 5 less than or equal to 11

Answers

Answer:

[tex]x\geq -\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]-8x+5\leq 11\\\\1. -8x\leq 11-5\\ -8x\leq 6[/tex]

Isolate the parts of the equation with the x variable

[tex]2. \frac{-8}{-8} x\geq\frac{6}{-8} \\x\geq -\frac{3}{4}[/tex]

When you divide or multiply by a negative number in inequalities, you must flip the sign of the inequality.

Hello there!

Im assuming you're solving for X!

Answer:

Your answer in Inequality Form comes to:

x > -3/4

Explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.  

What is the equation of the following line? Be sure to scroll down first to see
all answer options.

Answers

I am pretty sure it is Y= -1/3x

Answer: y=- 1/3x

Step-by-step explanation:

The first term of a geometric sequence is 32, and the 5th term of the sequence is 818 .


What are the geometric means between these terms?


Enter your answer by filling in the boxes to correctly complete the geometric sequence. Enter any fractions as simplified fractions.

Answers

Answer:

[tex]32,24,18,\frac{27}{2} ,\frac{81}{8}[/tex]

Step-by-step explanation:

Let x, y , and z be the numbers.

Then the geometric sequence is [tex]32,x,y,z,\frac{81}{8}[/tex]

Recall that  term of a geometric sequence  are generally in the form:

[tex]a,ar,ar^2,ar^3,ar^4[/tex]

This implies that:

a=32 and [tex]ar^4=\frac{81}{8}[/tex]

Substitute a=32 and solve for r.

[tex]32r^3=\frac{81}{8}[/tex]

[tex]r^4=\frac{81}{256}[/tex]

Take the fourth root to get:

[tex]r=\sqrt[4]{\frac{81}{256} }[/tex]

[tex]r=\frac{3}{4}[/tex]

Therefore [tex]x=32*\frac{3}{4} =24[/tex]

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

[tex]z=18*\frac{3}{4} =\frac{27}{2}[/tex]

Answer:

Step-by-step explanation:

the length of the top of a rectangular-shaped deck is 6 meters longer than its width. if the area of the top of the deck is 72 square meters, what is it’s length in meters?

Answers

Answer:

6 meters

Step-by-step explanation:

length= 6+x

width= x

x (x+6)= 72⇔ [tex]x^{2}[/tex] + 6x - 72= 0⇔ x= (-6 ±[tex]\sqrt{6^{2} -4 *1*(-72) }[/tex]) / 2*1⇔

⇔ x= (-6±√324)/2 ⇔ x= (-6±18)/2 ⇔ x= 6 ∨ x= -12

Since the width of a rectangle can't be negative, the answer will be 6 meters.

1/3(z+4)-6=2/3(5-z)
Find the answer

Answers

Step-by-step explanation:

[tex] \frac{1}{3} (z + 4) - 6 = \frac{2}{3} (5 - z) \\ \\ \therefore \: \frac{ (z + 4) - 6 \times 3}{3} = \frac{2(5 - z) }{3} \\ \\ \therefore \: \frac{ z + 4 -18}{3} = \frac{10 - 2z }{3} \\ \\ \therefore \: \frac{ z - 14}{3} = \frac{10 - 2z}{3} \\ \\ \therefore \: z - 14 = 10 - 2z \\ \\ \therefore \: z + 2z = 10 + 14\\ \\ \therefore \: 3z =24 \\ \\ \therefore \: z = \frac{24}{3} \\ \\ \: \: \: \: \: \: \: \: \huge \orange{ \boxed{ \therefore \: z = 8}}[/tex]

a student earns 42 points out of 60 points on a test what percent of the points did the student answer​

Answers

Answer:

It would be a 70%

Step-by-step explanation:

Convert fraction (ratio) 42 / 60 Answer: 70%

Answer:

I think 24% percent?????

suppose you are performing an experiment in science class in which you start with 70 bacteria and the amount of bacteria triples every hour write a function to represent the growth of the bacteria overtime in your science experiment

Answers

The function to represent the growth of the bacteria overtime in your science experiment is:

[tex]y = 70(3^x)[/tex]

Solution:

Given that,

Suppose you are performing an experiment in science class in which you start with 70 bacteria and the amount of bacteria triples every hour

Let,

y is the number of bacteria at time x

x is the number of hour(time)

As per the given information,

You start your experiment with 70 bacteria,and the bacteria triples in every hour

Therefore,

At end of 1 hour,

y = 70 x 3 = 210

At the end of 2 hours,

[tex]y = 210 \times 3 = 630\\\\Which\ can\ also\ be\ written\ as\\\\y = 70 \times 3^2 = 70 \times 9 = 630[/tex]

At the end of 3 hours,

[tex]y = 630 \times 3 =1890 \\\\Which\ can\ also\ be\ written\ as\\\\y = 70 \times 3^3 = 70 \times 27 = 1890[/tex]

Thus at end of "x" hours we will have,

[tex]y = 70 \times 3^x\\\\y = 70(3^x)[/tex]

Thus the function to represent the growth of the bacteria overtime in your science experiment

twenty is 150% of what number

Answers

13.33.

We have, 150% × x = 20

or,

150

100

× x = 20

Multiplying both sides by 100 and dividing both sides by 150,

we have x = 20 ×

100

150

x = 13.33

If you are using a calculator, simply enter 20×100÷150, which will give you the answer.

Oi, give flamenco brainliest.

Other Questions
You are filling up a glass with cold water in the sink and are not paying close attention. You notice the water is filling very quickly, so to stop it from overflowing, you turn off the faucet. Luckily, you stop the water just in time, but you notice that the water at the top of the glass is not perfectly flat. Instead, it forms a convex shape over the top of the glass. What causes this? WHAT ARE THEY USED FOR Developing tank 2. Contact print 3xer 4. Developer 5. Darkrooms 6. Acid stop bath 7. Enlarger 8. Johann Heinrich Schulze Theodore Roosevelt posed a threat to the Republican Party primarily because heA.was not a member of the Republican political machine.B.presented ideas that challenged existing power structures.C.was determined to increase profits and power for the wealthy.D.supported and assisted trusts not associated with the Republican Party. Ram Company's after-tax net income was $120. Their interest paid was $50. Assuming the corporate tax is 40%, what is Ram Company's interest coverage ratio? What classification of government distinguishes between presidential and parliamentary government? who has power how much power a government has where power is located how power is distributed? Examples of main themes from edwards sermon At year end, CurlZ Inc.'s inventory consists of 100 bottles of CleanZ with a cost of $1, and a selling price of $0.80 per bottle. It also has 100 boxes of DyeZ with a cost of $10, and a selling price of $11 per box. Using the lower of cost and net realizable value method, the year-end Inventory balance should include which of the following amounts? Hargrave and Hiatt (1987) found that people portray themselves more __________ in face-to-face interviews than on personality tests, resulting in more________________. y=3/4 x-4Any help?(y=3 - x-4 4Soo confused. What am I supposed to do? ________________ is dividing a market into distinct groups that (1) have common needs, and (2) will respond similarly to a marketing action. which activity might a scientist do as part of the scientific process? apexA.) Make a testable hypothesisB.) Hide experimental dataC.) Make unsupported claimsD.) Answer ethical questions Which circumstances were a major cause of Russian weakness in the mid-1800s? Select all the correct answers. autocratic rule shortages of land the lack of a single seaport serfdom the invasion of Napoleon's Grand Army defeat in the Crimean War Kroger has 12 ounces of orange juice for $1.95 and Food Lion has 18 ounces for $2.10. Which store has the better but. Round to nearest hundredth place. 15. How can molecular clock data help us in the battle against infectious disease?Meus The length of a rectangle is 6 inches more than the width. The perimeter is 40 inches. Find the length and the width of the rectangle 1. Identify each account as an asset (A), liability (L), or equity (E). 2. Identify whether the account is increased with a debit (DR) or credit (CR). 3. Identify whether the normal balance is a debit (DR) or credit (CR)(a) Interest Revenue(b) Accounts Payable(c) Calhoun, Capital(d) Office Supplies(e) Advertising Expense(f) Unearned Revenue(g) Prepaid Rent In areas where kelp is abundant, sea urchins can be found. If sea otters live in the same ecosystem as the sea urchins, the equilibrium of the kelp forest can be maintained. Based on the food chain, how is the kelp equilibrium MOST likely maintained? A monoprotic weak acid, HA , dissociates in water according to the reaction: HA(aq) -----> H+(aq) + A(aq) The equilibrium concentrations of the reactants and products are: [HA] = 0.200 M , [H+] = 4.00 x 10^ 4 M and [A ] = 4.00 x 10^ 4 M . a. Calculate the value of pKa for the acid HA . Find the area of the shape shown Data represent real-world things including raw facts such as audio and video data. Group of answer choices True False