What does t equal ?

The point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

We have m = 4/5 and the point (7, -9). Substitute:

[tex]y-(-9)=\dfrac{4}{5}(x-7)\\\\\boxed{y+9=\dfrac{4}{5}(x-7)}[/tex]

Equation of the line is a way of representation of the line in a algebraic from with point which form the line in the coordinate system and the slope. Thus the equation of the line passing through the point (7,-9) having the slope 4/5 is,

[tex](y-7)=\dfrac{4}{5} (x+9)[/tex]

Hence, the option 2 is the correct option.

The line passes through the point (7,-9).

The slope of the line is 4/5.

Equation of the line is a way of representation of the line in a algebraic from with point which form the line in the coordinate system and the slope.

The standard form of the equation of the line can be given as,

[tex](y-y_1)=m (x-x_1)[/tex]

Here m is the slope of the line.

Thus, the equation of the line passes through (7,-9) having the slope 4/5 can be given as,

[tex](y-y_1)=m (x-x_1)[/tex]

Put the values,

[tex](y-7)=\dfrac{4}{5} (x-(-9))[/tex]

[tex](y-7)=\dfrac{4}{5} (x+9)[/tex]

Thus the equation of the line passing through the point (7,-9) having the slope 4/5 is,

[tex](y-7)=\dfrac{4}{5} (x+9)[/tex]

Thus the option 2 is the correct option.

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Answer:

see explanation

Step-by-step explanation:

the n th term of an arithmetic sequence is

[tex]t_{n}[/tex] = [tex]t_{1}[/tex] + (n - 1)d

given [tex]t_{1}[/tex] = 3 and [tex]t_{2}[/tex] = 10, then

[tex]t_{2}[/tex] = 3 + d = 10 ⇒ d = 10 - 3 = 7

[tex]t_{n}[/tex] = 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4

the sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex][2[tex]t_{1}[/tex] + (n - 1)d ]

                        = [tex]\frac{n}{2}[/tex][(2 × 3) + 7(n - 1) ]

                        = [tex]\frac{n}{2}[/tex](6 + 7n - 7 )

                        = [tex]\frac{n}{2}[/tex](7n - 1)

                        = [tex]\frac{7}{2}[/tex] n² - [tex]\frac{1}{2}[/tex] n

Answer:(-2,8) (-1,5) (0,2) (1,-1) (2,-4)

Step-by-step explanation:

Answer:

Option D is correct.

[tex]\frac{4}{5}[/tex] is the ratio form a proportion with [tex]\frac{16}{20}[/tex]

Step-by-step explanation:

Proportion states that the two fraction or ratios are equal.

i.e, [tex]\frac{a}{b} = \frac{c}{d}[/tex]

Given the ratio [tex]\frac{16}{20}[/tex]

To find the proportion of this ratio forms.

[tex]\frac{16}{20}[/tex]

Divide top and bottom by 4 , we have;

[tex]\frac{\frac{16}{4} }{\frac{20}{4} }[/tex]

Simplify:

[tex]\frac{4}{5}[/tex]

therefore, a ratio form a proportion with [tex]\frac{16}{20}[/tex] is, [tex]\frac{4}{5}[/tex]

Option D, 4/5 forms a proportion with 16:20.

To determine which ratio forms a proportion with 16:20, we must find a ratio equivalent to 16:20.

We start by simplifying 16:20. Both 16 and 20 can be divided by their greatest common divisor, which is 4:

16 ÷ 4 = 4

20 ÷ 4 = 5

This gives us the simplified ratio of 4:5. Now, we need to check which of the given options matches 4:5.

4/10: When simplified, 4:10 becomes 2:5, which is not equal to 4:5.

32/50: When simplified, 32:50 becomes 16:25, which is not equal to 4:5.

8/12: When simplified, 8:12 becomes 2:3, which is not equal to 4:5.

4/5: This ratio is already simplified and equal to 4:5.

Therefore, the ratio 4:5 forms a proportion with 16:20.

Correct Question

Which ratio forms a proportion with 16:20 ?      

A. 4/10    

B.  32/50  

C.  8/12    

D. 4/5

Answer:

y=6/5x+13

Step-by-step explanation:

6y=-5x+16

Divide by 6

y=-5/6x + 8/3

Slope: 6/5 (opposite reciprocal)

7=-5(6/5)+b

7=-6+b

b=13

Answer:

When you say b 5, do you mean b+5?

Step-by-step explanation:

Answer:

1.5 gallons

Step-by-step explanation:

Answer:

22.5 calories per oz.

Step-by-step explanation:

Simplify. Find the amount for 1 oz. Divide 450 with 20

450/20 = 22.5

22.5 calories per oz.

~

Answer:

(1,7)

Step-by-step explanation:

You are given the system of two equations

[tex]\left\{\begin{array}{l}x-y=-6\\5x+3y=24\end{array}\right..[/tex]

Each equation represents straight line in the diagram. The point of intersection between these two lines represents the solution of the system of two equations. From the diagram  the best approximation of the solution of the system rounded to the nearest whole number is (1,7).

Or you can solve this system algebraically. Express x from the first equation

[tex]x=y-6[/tex]

and substitute it into the second equation:

[tex]5(y-6)+3y=24,\\ \\5y-30+3y=24,\\ \\8y=54,\\ \\y=\dfrac{54}{8}=\dfrac{27}{4}=6.75\approx 7.[/tex]

Then

[tex]x=6.75-6=0.75\approx 1.[/tex]

The population increase in the town is linear, and with a constant increase of 611 people per year, the population is projected to be 4855 in five years.

The population of a town described is increasing at a constant rate, therefore, this represents linear growth. Each year, the population increases by a fixed number, in this case, 611. This contrasts to exponential growth, where the population would increase by a fixed percentage.

To calculate the population in five years, we multiply the rate of increase (611) by the number of years (5) and add the starting population. So, 611*5 = 3055. Adding the current population of 1800 gives us 4855.

Therefore, the population of the town in five years will be 4855, given the linear growth rate holds steady.

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Answer:

I believe than answer is A make sure tho im only in 6 th grade

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

This will give you the responses of the functions.

The x values arent the responses.

The simplified expression of the expression (0.07b³m + 7) ÷ (15bm⁻¹) is (0.07b³m + 7) ÷ (15bm⁻¹)

To simplify the expression, we have

The GCD of the numerator and denominator is 1.

So, the simplified expression is:

(0.07b³m + 7) ÷ (15bm⁻¹) = (0.07b³m + 7) ÷ (15bm⁻¹)

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Answer:

Hence final answer is [tex]-\frac{1}{216}[/tex].

Step-by-step explanation:

Expression is not typed in proper format but as per given instruction "evaluate the exponent", I think it is:

[tex]\left(-6\right)^{-3}[/tex]

So let's simplify that:

[tex]\left(-6\right)^{-3}[/tex]

Apply formula x^-m=1/x^m

[tex]=\frac{1}{\left(-6\right)^{+3}}[/tex]

[tex]=\frac{1}{\left(-6\right)^3}[/tex]

[tex]=\frac{1}{\left(-6\right)\left(-6\right)\left(-6\right)}[/tex]

[tex]=\frac{1}{-216}[/tex]

[tex]=-\frac{1}{216}[/tex]

Hence final answer is [tex]-\frac{1}{216}[/tex].

Answer:

10

Step-by-step explanation:

Noah spends $1.50 for every taco, meaning that the cost is 3/2 of the amount of tacos. To get the amount of tacos, find 2/3 of 15.

Answer:

A

Step-by-step explanation:

the standard form of a quadratic equation is

ax² + bx + c = 0 : a ≠ 0

obtain (5 + x)(5 - x) = 7 in this form by expanding the factors

25 - x ² = 7 ( subtract 7 from both sides )

18 - x² = 0 ( multiply through by - 1 )

x² - 18 = 0 ← in standard form

with a = 1, b= 0 and c = - 18 → A

Answer:

Option A - $83.39

Step-by-step explanation:

Given : Lanny’s credit card has an APR of 33%, calculated on the previous monthly balance. His credit card record for the last 7 months is shown in the table below.

To find : What is the new balance at the end of month 7?    

Solution :  

From the table, the information of 7 month

Previous balance = $74.33

Payment = $91.98

Unpaid balance = Previous balance - Payments

                          = $74.33 - $91.98

Unpaid balance  = -$17.65

Finance charge = $2.04

New charges = $99

New balance =  Unpaid balance + finance charge + new charges

New balance =  -$17.65 +$2.04+ $99

New balance =$83.39

Therefore, Option A is correct.

Answer:

Correct choice is C

Step-by-step explanation:

Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. Thus, if a, b and c are triangles sides, then

[tex]a+b>c,\\ \\a+c>b,\\ \\b+c>a.[/tex]

A. Consider lengths a=5, b=10 and c=4. Since

[tex]a+c=5+4=9<10=b,[/tex]

these side lengths couldn't create triangle.

B. Consider lengths a=5, b=7 and c=13. Since

[tex]a+b=5+7=12<13=c,[/tex]

these side lengths couldn't create triangle.

C. Consider lengths a=7, b=9 and c=3. Since

[tex]a+b=7+9=16>3=c,\\ \\a+c=7+3=10>9=b,\\ \\b+c=9+3=12>7=a.[/tex]

These side lengths could form a triangle.

D. Consider lengths a=10, b=4 and c=5. Since

[tex]b+c=4+5=9<10=a,[/tex]

these side lengths couldn't create triangle.

Answer:

C?

Step-by-step explanation:

Answer:

1. -9       2. 160

3. 3.9

Step-by-step explanation:

I dd the assignment

The equation in standard form that represents the relationship between Fahrenheit (F) and Celsius (C) is 5F + (5/9)(F - 32) = 39.

In order to represent the relationship between Fahrenheit (F) and Celsius (C) in standard form, we can use the conversion formula:

C = (5/9)(F - 32)

Given the equation 5F + C = 39, we can substitute the value of C from the conversion formula into the equation:

5F + (5/9)(F - 32) = 39

Simplifying the equation further:

45F + 5(F - 32) = 351

45F + 5F - 160 = 351

Combine like terms:

50F - 160 = 351

Add 160 to both sides:

50F = 511

Divide both sides by 50:

F = 10.22

Therefore, the equation in standard form that represents the relationship between F (degrees Fahrenheit) and C (degrees Celsius) is 5F + (5/9)(F - 32) = 39.

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The complete question is here:

The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius. 5F + C =  39°F = °C rounded to the nearest tenth of a degree

Freezing Temperatures (°)

Column A. F

1. -13

2. -4

3. 5

4. 14

5. 23

Column B. C

A. -25

B. -20

C. -15

D. -10

E. -5

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

$289 is better because its cheaper per mile

Answer:

B

Step-by-step explanation:

Graph the line by first using slope and y- intercept

Slope=-1/3

y-intercept =-2

(0,-2)

(1,-7/3)

Then graph those two points and that graph is B

Answer:

B    Please give brainliest

Step-by-step explanation:

I took points from the line and put it into the equation.  

(0,-2)

3(0) + 9(-2) = -18   (This works out)

Next....

(-3,-1)

3(-3) + 9(-1) = -18   (This also works)

Answer: f) -7x -9= 12

Step-by-step explanation:

Step 1: Solve the equation. To solve the equation, add 9 to both sides. This is what you would have now. ( -7x = 21 )

Step 2: Now divide -7 from both sides. This is what you would have now.

( x= -3)

Answer:

see below   PLEASE GIVE BRAINLIEST

Step-by-step explanation:

A) 5000 - 2700 = 2300 points needed

B) 2700 + 400 = 3100

  the inequality would change to:

  5000 - 3100 = 1900 points needed

The student needs to accumulate an additional 2300 points to reach the 5000-point requirement for a gift card from the bank. They currently have 2700 points.

Calculating Points Needed for a Reward

To calculate how many more points a student needs to earn a gift card from the bank, we need to subtract the points the student already has from the required points for the gift card. The student currently has 2700 points and needs at least 5000 points in total. If we subtract the current points from the required points, we have:

Required points for the gift card: 5000 points

Current points: 2700 points

Points needed: 5000 points - 2700 points = 2300 points

The student needs an additional 2300 points to earn a gift card from the bank.

While accumulating points, a student might consider if they could benefit from a very convenient credit card that offers a free Rewards program, unsurpassed card protection, free PhotoCard, free Purchase Cover, personal customer service, and wide acceptance. Such a card is not only accepted at over 400,000 locations in Australia but also more than 14 million establishments worldwide and offers cash access at over 341,000 ATMs.

For this case we must find the following product:

[tex]\frac {a-3} {15a} * \frac {5} {a-3} = \frac {5 (a-3)} {15a (a-3)}[/tex]

We know that [tex]\frac {(a-3)} {(a-3)} = 1[/tex]

So:

[tex]\frac {5 (a-3)} {15a (a-3)} = \frac {5} {15a}[/tex]

Dividing the numerator and denominator by "5":

[tex]\frac {5} {15a} = \frac {1} {3a}[/tex]

Thus, the product is[tex]\frac {1} {3a}[/tex]

Answer:

[tex]\frac {1} {3a}[/tex]

Answer:

If both computers are working together, it will take 24 minutes to do the job

Step-by-step explanation:

It is given that,

There are two computers.The slower computer can send all the company's email in 60 minutes.

The faster computer can complete the same job in 40 minutes

To find the LCM of 40 and 60

LCM (40, 60) = 120

To find efficiency of 2 computers

Let x be the efficiency of faster computer and y be the efficiency of faster computer

x = 120/40 = 3

y = 120/60 = 2

then, x + y = 3 + 2 = 5

Therefore efficiency of both the computer work together = x + y =5

To find the time taken to work both the computer together

time = 120/5 = 24 minutes

The slower computer works at a rate of 1/60 of the task in a minute, and the faster computer works at a rate of 1/40 per minute. When they work together, they perform 1/24 of the task per minute, and hence, they would complete the task in 24 minutes.

The subject of this question is Mathematics, specifically focused on the topic of rates and time. The slower computer sends all the company's email in 60 minutes, which implies it can perform 1/60 of the task per minute. The faster computer can send all the company's email in 40 minutes, inferring that it works at a rate of 1/40 of the task per minute.

When both computers are working together, their rates of working are added together, therefore they perform (1/60) + (1/40) = 1/24 of the task per minute. The reciprocal of this fraction gives the total time it would take both computers to complete the task, i.e., 24 minutes when working together. So, it would take 24 minutes for both computers to send all the company's emails if they work together.

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Answer,

= 4

Explanation,

So, basicly they want you to put the numbers (1/5) & (15) in place of the letters (c) & (d). Let's do that,

5 * 1/5 + 1/5 * 15

So, now that we have replaced the letters with numbers we simply simplify,

5 * 1/5 = 1

1/5 * 15 = 3

3 + 1 = 4

Hope this helps :-)