Determine the values of A, B, and C when y – 7=3(x+4) is written in standard form, Ax+By=C.

Answers

Answer 1

Answer:

A=-3,b=1,C=19

Step-by-step explanation:

y-7=3(x+4)

we will just simplify the bracket like this

y-7=3x+12

y=3x+12+7

y=3x+19

y-3x=19

A=-3,b=1,C=19

if u find the answer correct mark as brainliest


Related Questions

a man has extra digits (six fingers on each hand and six toes on each foot). his wife and their daughter have a normal number of digits. having extra digits is a dominant trait. the couple's second child has extra digits. what is the probability that their next (third) child will have extra digits?

Answers

The likelihood of their next third child having additional digits of (six fingers on each hand and six toes on each foot) is 1/2.

Define the term dominant traits?A trait is a distinguishing characteristic that a person possesses. Dominant traits are defined as having only one copy of a gene on a chromosome which expresses a specific trait.Individuals exhibit the dominant traits most prominently. Polydactyly is the dominant condition in this case.

For the given condition,

The father has six fingers plus six toes, while the mother is still in normal condition. In this particular case, polydactyly is a dominant characteristic. Twelve percent of the couple's children are projected to have additional digits.

Because the father has the dominant feature as well as the mother is now in normal condition, there is a 50% chance that this deformity will be passed down to children.

Thus, the likelihood of their next (third) child having additional digits is 1/2.

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A carpenter needs 8.5 feet of rope for a project. How much will the carpenter spend if the rope costs $4.57 per foot?

Answers

Answer: The carpenter will spend $38.84

Step-by-step explanation:

8.5 feet of rope and the rope costs 4.57 per foot

8.5x4.57=38.845

Since half a cent does not exist we can get rid of the 5 at the end

Therefore the carpenter will have to spend $38.84

Unless you want to round it up, then it will be $38.85

the area of a circle is increasing at a constant rate of 178 square feet per second. at the instant when the radius of the circle is 44 feet, what is the rate of change of the radius? round your answer to three decimal places.

Answers

The rate of change of radius of the circle when the radius of the circle is 44 feet is 0.64 ft/s.

The area of the circle with radius R us given by,

A = πR²

It is given that the area is increasing at a constant rate of 178 square feet per second.

dA/dt = 178 ft²/s

Also, A = πR²

Differentiating A with respect to time,

dA/dt = 2πR.dR/dt

The rate of change of the radius is asked when the radius is 44 feet.

So, putting R = 44 ft.

dA/dt = 2π(44)dR/dt

178 = 2π(44)dR/dt

dR/dt = 0.64 ft/s

So, the rate of change of radius is 0.64 ft/s.

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-3+x=7 show me the answer and problem

Answers

Answer:

x=10

Step-by-step explanation:

-3+x=7

Add 3 to both sides.

7+3=10

x=10

Answer:

x=10

Step-by-step explanation:

-3+x=7

You have to add 3 to both sides to cancel out the -3

x=10

That leaves you with x=10

John needs a total of $100 to buy a birthday present for his friend. He has already saved $35. If he saves $10 a week from his earnings what is the least number of weeks he must work to have enough money to buy the present?

Answers

Answer: D) 7

Step-by-step explanation:

First put this into an equation as shown

f(x)=10x

The 10 is for the money he makes and the x is the amount of weeks

then take the 35 dollars he already saved and put it into an equation as shown

35+f(7)

the f(7) is just another way to say y=10(7) (f(x) is just y but fancy lol)

7 is the number of weeks he can work to get 105. It can't be 6 because that would be 95 dollars and it can technically be 8 but the question ask for the least number of weeks.

Hope that helped. It may have been a bit complicated.

Answer:5

Step-by-step explanation:

10x7=70

35+70=105

Here are some numbers.
8
11
13
18
25
37


8,13,18is an arithmetic progression and the rule is to add 5.
Use three of the numbers to make a different arithmetic
progression.
Describe the rule.

Answers

The different arithmetic progression is [tex]11, 18, 25[/tex] and the rule is to add [tex]7[/tex].

What is an arithmetic progression?

A series of numbers known as an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

We have,

                      [tex]8, 11, 13, 18, 25, 37[/tex]

Given arithmetic progression is  [tex]8, 13, 18[/tex]  and the constant difference is [tex]5[/tex].

By using this phenomenon we can create new arithmetic progression like,

                                             [tex]11, 18, 25[/tex]

Here the constant difference or rule is [tex]7[/tex].

Hence the new and different arithmetic progression is [tex]11, 18, 25[/tex].

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The table shows the linear relationship between the number of pages left to read in a novel and the number of hours a student has already spent reading the novel. Mark each statement as true or false. If false, rewrite the statement correctly.



The student reads at a rate of 48 pages per hour.

Answers

By using the rate of change formula for linear equations, we will see that the statement is true.

Is the statement true or false?

Here we have the following statement:

"The student reads at a rate of 48 pages per hour."

Which relates to the linear equation represented on the table.

A general linear equation is written as:

y = a*x + b

Where a is the rate and b is the y-intercept.

If the line passes through two points (x1, y1) and (x2, y2), then the rate is:

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

Using the first two points (1,644) and (4, 500) we can get the rate:

R = (500 - 644)/(4 - 1) = -48

So the number of pages remaining decreases by 48 each hour of reading, then yes, the student reads at a rate of 48 pages per hour.

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A = LW is the formula for the area of a rectangle.

Solve the formula for W.

Answers

W=A/L is the answer

Two glasses of milk and 3 snack bars have a total of 67 carbohydrates (carbs), and 4 glasses of milk and 2 snack bars have a total of 74 carbs. Determine how many carbs are in one glass of milk and in one snack bar.

Answers

1 glass of milk is 11 carbs and one snack bar is 15 carbs. Together they are 26 carbs

Please help will mark brainiest!!!
1.) Rowan graphs the function f (x) = 7x + 1 and then transforms the function by horizontally translating it 5 units to the right. What is the newly transformed function, g (x)?

Answers

g(x) = 7(x+5) + 1 is the newly transformed function

How to find the newly transformed function, g (x)?

A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input

Given that: He graphs the function f (x) = 7x + 1 and then transforms the function by horizontally translating it 5 units to the right

To solve this problem, we need to understand the direction of movement. In the cartesian plane or graph, the x-axis is either a movement to the left(negative) or right(positive)

Since the function f (x) = 7x + 1 translates by 5 units to the right. You need to add 5 to x  i.e. 7(x+5) + 1

Therefore, the newly transformed function, g (x) = 7(x+5) + 1

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Find the other endpoint with the given endpoint (-5, 1) and midpoint (3, -4)

Answers

The other end point with the given endpoint (-5, 1) and midpoint (3, -4) is  (11, -9)

What is mid point?

A midpoint is a point lying between two points and is in the middle of the line joining the two points.

The mid point formula is represented as follows;

(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)

Let's find the other end point with the given endpoint (-5, 1) and midpoint (3, -4).

Hence,

(3, -4) = (-5 + x₂ / 2, 1 + y₂ / 2)

Therefore,

3 = -5 + x₂ / 2

cross multiply

6 = -5 + x₂

x₂ = 6 + 5

x₂ = 11

-4 =  1 + y₂ / 2

cross multiply

-8 = 1 + y₂

y₂ = -8 - 1

y₂ = - 9

Therefore, the endpoint is (11, -9)

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pens cost 20p each and pencils cost 12p each if i buy 6 pens and 5 pencils what will be the total cost

Answers

Answer:

$1.80

Step-by-step explanation:

$1.80 will be the total cost

Triangle ABC is congruent to triangle XYZ. Side BC corresponds to what side in triangle XYZ?​

Answers

Answer:

Side BC is congruent to side YZ

[tex]3\sqrt{6w-288[/tex]

Answers

3root6(x-48) factor 6

Using the figure below, which table correctly lists the steps and reasons used to find the measure of angle d?

Answers

Answer:

140

Step-by-step explanation:

140

please help Write each number as a percent. 1/200 ​

Answers

The percent of the number is 0.5% when the number is 1/200.

Given that,

We have to find the percent of the number 1/200.

A percentage is a number or ratio that, in mathematics, represents a portion of one hundred. It's frequently represented by the symbol "%" or just "percent" or "pct."

Take the number.

1/200

Multiply by 100

1/200×100

We get

1/2

In decimal we get

0.5%

Or

Convert the number to decimal.

1/200= 0.005

Multiply 0.005 by 100 to convert to a percentage.

0.005×100

Simplify

0.5%

Therefore, The percent of the number is 0.5% when the number is 1/200.

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William is a trucker. Today, he is hauling refrigerators that weigh 0.16 tons each. His truck
weighs 15 tons when empty. What is the total weight of the truck with 20 refrigerators on it?
Write and solve an equation to find the answer.
tons
4

Answers

Answer:

Full truck = 18.2 tons

Step-by-step explanation:

FT = ET + 20R. ET (Empty Truck) = 15t

R (refrigerator) = 0.16t

FT = 15t + 3.2t

FT= 18.2t

the numbers 1, 2, 3, 4, 5 are to be arranged in a circle. an arrangement is badbad if it is not true that for every nn from 11 to 1515 one can find a subset of the numbers that appear consecutively on the circle that sum to nn arrangements that differ only by a rotation or a reflection are considered the same. how many different bad arrangements are there?

Answers

There are 2 different bad arrangements possible.

We see that there are 5! absolute ways of orchestrating the numbers. Nonetheless, we can constantly turn these numbers so that, for instance, the number 1 is dependably at the highest point of the circle. Consequently, there are just 4! ways under turn, which is easy to drill down. We methodically list out every one of the 24 cases.

Presently, we should inspect assuming they fulfill the circumstances. We can see that by selecting each number, in turn, we can continuously acquire subsets with aggregates 1, 2, 3, 4, and 5. By picking the round trip, we can get 15. By selecting everything aside from 1, 2, 3, 4, and 5, we can get subsets with amounts of 10, 11, 12, 13, and 14.

This implies that we presently just have to check for 6, 7, 8, and 9. Be that as it may, whenever we have found a set adding to 6, we can pick all the other things and get a set adding to 9, and comparably for 7 and 8. Hence, we just have to check each case for whether we can acquire 6 or 7.

We observe that there are just 4 arrangements that fulfill these circumstances. In any case, each of these is an impression of another. We divide by 2 for these reflections to get the final answer of B = 2.


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There is two function equations, f(x)=2x²+3x-4 and h(x)= -x²+8
If the input is f(1)+h(1), how exactly would I solve this

Answers

To solve f(1)+h(1) .....

plug in 1 for x in both equations f(x) and h(x):

f(1)=2(1)²+3(1)-4 = 2+3-4 = 1

h(1)= -(1)²+8 = -1+8 = 7

f(1)+h(1) = 1 + 7 = 8

Hope it helps!

Extra Credit
Where does this function cross the x-axis?
y = 25x² - 49

Answers

Answer:

Step-by-step explanation:

45

Can anyone write the equation of the graph?

Answers

The function represented by the graph has an equation of f(x) = |x - 3| + 5

How to find the equation of the graph line?

From the question, we have the following graph that can be used in our computation:

The graph is an absolute value graph

As a general rule, an absolute value is expressed as

y = |x - h| + k

In this case, the vertex is

Vertex = (h, k)

As a general rule, the vertex of a function is the minimum point on the graph

On the given graph, the minimum point is (3, 5)

This means that

(h, k) = (3, 5)

Substitute the values (h, k) = (3, 5) in the equation y = |x - h| + k

So, we have the following representation

y = |x - 3| + 5

Rewrite the equation as a function

f(x) = |x - 3| + 5

Hence, the equation of the graph represented by the figure is f(x) = |x - 3| + 5

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find the roots of each expression with rational exponents.

1.27⅓

2.225½

3.49³/²


(please show solution
you can write in on paper)
simplify each expression ​

Answers

For the given expressions the roots with rational exponents are as follow:

a.  27¹/³ = 3

b. 225 ¹/² = 15

c. 49 ³/² = 243

As given in the question,

For the given expressions the roots with rational exponents are as follow:

Solution of each expression is given by:

a. 27¹/³

Prime factors of 27 is equal to 3 × 3 × 3

27¹/³

= ( 3 × 3 × 3 )¹/³

= ( 3³ )¹/³

= 3

b.  225 ¹/²

Prime factors of 225 is equal to 3 × 3× 5× 5

225 ¹/²

= ( 3× 3× 5× 5)¹/²

= ( 15²)¹/²

= 15

c.  49 ³/²

Prime factors of 49 is equal to 7 × 7

49 ³/²

= ( 7 × 7) ³/²

= (7²) ³/²

= 7³

= 343

Therefore, for the given expressions the roots with rational exponents are as follow:

a.  27¹/³ = 3

b. 225 ¹/² = 15

c. 49 ³/² = 243

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How do you solve this? (-7 + i)(-3 + 6i).

Answers

After simplification, the solution of the expression (-7 + i)(-3 + 6i) is 15 - 45i.

In the given question we have to solve the given expression.

The given expression is (-7 + i)(-3 + 6i).

Using the distributive property to solve the given expression.

a(b+c)=ab+ac

Now simplifying the expression.

(-7 + i)(-3 + 6i) = -7(-3 + 6i) + i(-3 + 6i)

(-7 + i)(-3 + 6i) = (-7)*(-3) + (-7)*(6i) + (-3)i + (6i)i

(-7 + i)(-3 + 6i) = 21 - 42i - 3i + 6i^2

As we know that i^2 = -1. So

(-7 + i)(-3 + 6i) = 21 - 42i - 3i + 6(-1)

(-7 + i)(-3 + 6i) = 21 - 42i - 3i - 6

Simplifying

(-7 + i)(-3 + 6i) = 15 - 45i

Hence, the solution of the expression (-7 + i)(-3 + 6i) is 15 - 45i.

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If x²+kx+16/9 is a perfect square. Find the value of k​

Answers

Answer:

For x² + kx + 16/9 to be a perfect square, k should be equal to 8/3

Step-by-step explanation:

If x² + kx + 16/9 is a perfect square then it must satisfy the formula of (a + b)² i.e. equal to a² + 2ab + b².

So, first we will form a equal that looks similar to the formula:

[tex] \rm \implies {x}^{2} + kx + \dfrac{4 \times 4}{3 \times 3} \\ \\ \rm \implies {x}^{2} + kx + { \bigg( \dfrac{4}{3} } \bigg)^{2} [/tex]

Now by comparing we get,

[tex] \rm \implies k \cancel{x} = 2 \times \cancel{x}\times \frac{4}{3} \\ \\ \rm \implies k = \dfrac{8}{3} [/tex]

Given that x is a nonnegative number, a student conjectured that a +5 < x²
Which value of x is a counterexample to the student's conjecture?
A.) x = -1/
5
B.)x = -5
C.)x = 0
D.) x = 5

Answers

Option B, x = -5 is correct answer, x = -5 is the counter example to the student's conjecture.

What is inequality?

A mathematical phrase in which the sides are not equal is referred to as being inequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

Given inequality in the question is:

x +5 < x²

We will check each option given I question by putting value of x,

putting x = -1/5

x + 5 < x²

-1/5 + 5 < (-1/5)²

24/5 < 1/25

4.8 < 0.04

This is wrong inequality , Therefore, x is not equal to -1/5

putting x = -5

x + 5 < x²

-5 + 5 < (-5)²

0 < 25

This is satisfying the inequality ,

Therefore, x is equal to -5

Hence, correct answer is x = -5

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20 plants were measured and their heights were recorded in cm. Here are the heights: draw a frequency polygon to represent the data
(also, I just need b, I've done A)

Answers

I’m not sure how to do this one but depends what class ur in cause I’ve never seen anything like this in my life tbh

An ocicat eats $\frac 35$ of a pound of food daily. How many whole ocicats can a $19\frac 12$-pound bag of food feed for one week?

Answers

Number of ocicats that [tex]19\frac{1}{2}[/tex] food will last for one week is 4 .

In the question ,

it is given that

the amount of food that the ocicat eats in 1 day = 3/5 pound

So , the amount of food that the ocicat eats in 1 week = (3/5) × 7 = 21/5

we have to find the number of ocicat that can eat [tex]19\frac{1}{2}[/tex] pound of food feed .

So ,

the number of ocicat that can eat  [tex]19\frac{1}{2}[/tex] pound of food feed = [tex]19\frac{1}{2}[/tex] ÷ 21/5

= (19*2+1)/2 ÷ 21/5

= 39/2 × 5/21

= (39 × 5)/(2 × 21)

= 195/42

= 65/14

= [tex]4\frac{9}{14}[/tex]  ocicats

since the number of ocicats cannot be in fraction ,

so number of ocicats = 4

Therefore , Number of ocicats that [tex]19\frac{1}{2}[/tex] food will last for one week is 4 .

The given question is incomplete , the complete question is

An ocicat eats 3/5 of a pound of food daily. How many whole ocicats can a [tex]19\frac{1}{2}[/tex] -pound bag of food feed for one week?

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Someone please help me with this question

Answers

Answer: D

Step-by-step explanation: Proportional relationship = relationships between two variables where their ratios are equivalent. 6:15 is equivalent with both 8:20 and 10:25. So D is the correct answer.

Scott will purchase a new computer on an installment plan. The computer costs $2,300 and requires a 15% down payment.
a.) How much is the down payment?

Answers

The value of the down payment for the car is $345.

How to calculate the.dow payment?

From the information, Scott will purchase a new computer on an installment plan and the computer costs $2,300 and requires a 15% down payment.

The value of the down payment will be:

= Down payment percentage × Total cost

= 15% × $2300

= 0.15 × $2300

= $345

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I NEED HELP WITH QUESTION 6!

URGENT!
DUE TODAY!!

90PTS!!!!!! WHOEVER WANTS THEM

Answers

So first you need to - than you need to write down ….. yah hope this helped :)
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