Find the intersection point for the following linear functions.

f(x) = 2x + 3
g(x) = -4x − 27

A.
(5,13)
B.
(5,-7)
C.
(-5,-10)
D.
(-5,-7)

Answers

Answer 1

Answer:

(-5,-7)

Step-by-step explanation:

To find points of intersection, first set the two equations equal and then solve for x. Then substitute that x back into either equation for the complete point of intersection.

2x + 3 = -4x - 27

6x = -30

x = -5

2(-5)+3 = -10 + 3 = -7    (substituting our solution into f(x) here)

Answer 2

Answer:

d

Step-by-step explanation:


Related Questions

6 m 11m in area

10yrd 8yd in area

5in 7in in area

4cm 6cm 10cm in area

Please I need answers for all of them

Answers

66,80,35,24000
Those are the answers if I’m correct


Find the slope of the
equation below and show the work.
X=4

Answers

Answer:

Undefined

Step-by-step explanation:

If a linear equation is organized in the form x=[a number], we know straight away that this line is a vertical line. This form is actually [tex]x=d[/tex], where [tex]d[/tex] is the x-intercept of the line. Vertical lines do not have a y-intercept because they are parallel to the y-axis.

The slope of vertical lines is undefined.

I hope this helps!

What is the area of this shape?

Answers

Answer:

1360cm

Step-by-step explanation:

34x40=1360

Answer:

1360[tex]cm^{2}[/tex]

Step-by-step explanation:

Since this is a parelelorgram. We can find the area by mulitlying the base and the height. and so we get....

base x height = 40 x 34 = 1360[tex]cm^{2}[/tex]


A line has this equation: -5y = 4x+40
Write an equation for the perpendicular line that goes through (8,5).

Answers

Answer:

The equation of the second line is;

y = 4x - 27

Step-by-step explanation:

Firstly, we need the slope of the first line

To get the slope, we need the equation in the general form of ;

y = mx + c

where m is the slope of the line

Thus, we have in this case, to divide through by -5

That will give the slope value as -5/20 = -1/4

If two lines are perpendicular, the product of their slopes is -1

The slope of the line we want to calculate, let us call it m

m * -1/4 = -1

-m = -4

m = 4

So we want to write the equation of a line with slope 4 and point (8,5)

We proceed to use the point-slope form

That will be;

y-y1 = m(x-x1)

y-5 = 4(x-8)

y-5 = 4x-32

y = 4x -32 + 5

y = 4x -27

Find the value of each variable. PLEASE ANSWER ASAP DUE IN 1 HOUR

Answers

Answer:

x = 36 , 2x = 72 , 3x = 108 , 4x = 144

Step-by-step explanation:

2x = P+Q      (ΔABC, exterior angle property)

4x = R+S       (ΔDBC, exterior angle property)

4x + 2x = P+Q+R+S = (P+R) + (Q+S) = (180 - 3x) + (180 -x)  (supplementary)

6x = 360 - 4x

10x = 360

x = 36

2x = 72

3x = 108

4x = 144

check: sum of interior angles = (180 x 4) - (36+72+108+144) = 360

4. The average speed of an Express train between New Delhi and Kota is 97 km/hr. The train
takes 4 hr to travel from New Delhi to Kota. Find the distance between New Delhi and Kota.

Answers

Answer:

Distance between New Delhi and Kota = 388 kilometers

Step-by-step explanation:

Given that:

Average speed of express train = 97 kilometer per hour

Time taken to travel  = 4 hours

Distance between New Delhi and Kota = Speed * Time

Distance = 97 * 4

Distance = 388 kilometers

Hence,

Distance between New Delhi and Kota = 388 kilometers

Write the number 23.785 in expanded form and in word form

Answers

Answer:

20+3+0.7+0.08+0.005

Step-by-step explanation:

can you follow me

Mr bell bought a freezer in a sale where all goods were 20% off. what was the original price of the freezer?

Answers

Answer:

First, you did not exactly state what the original price was or maybe that's how the question is worded, but in this scenario the original price of the freezer would be x because they did not tell us.

Step-by-step explanation:

A 20 percent discount is 0.20 in decimal format. For example if the original price was $20, then you would multiply 0.2 by $20 to get $4.00. In this question i would say the original price would be x, so then it would be 0.2x.

Hope this helps:)

ok i can drag what goes in what

Answers

Answer:

The equation should look like c=1.59 times a

Step-by-step explanation:

if it cost 1.59 dollars per pound of apple it is going to be a multiplication problem so then you fill in the blanks, A standing for per pound of apples and C representing total cost

write a real word problem that you could represent 3+ x =10

Answers

Answer:

A class has 10 science students, both of Physics and Biology.

If Biology group has 3 students, what's the number of students in the Physics group?

It is 3{:}32\text{ p.M.}3:32 p.M.3, colon, 32, start text, space, p, point, m, point, end text and Emma has gymnastics lessons at 6{:}00\text{ p.M.}6:00 p.M.6, colon, 00, start text, space, p, point, m, point, end text

Answers

Answer:

148 minutes

Step-by-step explanation:

It is 3{:}32\text{ p.M.}3:32 p.M.3, colon, 32, start text, space, p, point, m, point, end text and Emma has gymnastics lessons at 6{:}00\text{ p.M.}6:00 p.M.6, colon, 00, start text, space, p, point, m, point, end text How many minutes are there until Emma's gymnastics lessons?\

The time is 3:32 pm

Emma's gymnastics lesson is at 6:00 pm

6:00 pm - 3:32 pm = 2 hours 28 minutes

That is, we have 28 minutes before 4:00 pm

And 2 hours from 4:00 pm to 6:00 pm making a total of 2 hours 28 minutes

How many minutes are there until Emma's gymnastics lessons?

Convert 2 hours 28 minutes to minutes

1 hour = 60 minutes

2 hours = 60 minutes × 2 = 120 minutes

120 minutes + 28 minutes = 148 minutes

2 hours 28 minutes to minutes = 148 minutes

Ms. James makes 150 cookies for her three daughters to take to school. Bella will take 60% of the cookies, Dana will take 30% of the cookies, and Olga will take the remaining 10% of the cookies.

Answers

What is the question ??

Answer:

Bella takes 90 cookies

Dana takes 45 cookies

Olga takes 15 cookies

Step-by-step explanation:

.6(150) = 90  Bella

.3(150) = 45   Dana

.1(150) = 15    Olga

Can anyone help me solve this is a worksheet extra credit

Answers

Answer:

11. Coordinates of the meeting point 18,24

12.equation for line R, y= -2x/5-4

equation for line E,y=2x/5+12

13. 1,3, 4,5,10,13 ,15

14.70°

15. AC= 47

Step-by-step explanation:

I'm pretty sure about the answers. Please consider making brainliest. Thank you

Will give brainliest!

F(4)=

Answers

9514 1404 393

Answer:

  9

Step-by-step explanation:

As you know, 4 is between 3 and 10, so the middle definition applies.

  f(4) = 4² -7 = 16 -7

  f(4) = 9

does anyone know how to solve 2x+3y=7 and 4x-5y=25 using substitution to solve the system of equations. PLEASE HELP ONLY IF YK IT

Answers

Answer:

x = 5, y = -1

Step-by-step explanation:

2x+3y=7

4x-5y=25

Keep the second equation the same, but change the first equation so you have something to substitute into.

3y= -2x+7

y= -2/3x + 7/3

substitute into second equ.

4x + 10/3x - 35/3 = 25

put the variables on one side, and the numbers on the other.

22/3x = 110/3

divide by 3

22x = 110

x = 5

Substitute x = 5 into the first equation,

10 + 3y = 7

move numbers to one side, and variables to the other.

3y = -3

y = -1

Answer:

x = 5, y = - 1

Step-by-step explanation:

2x + 3y = 7

4x - 5y = 25

In the second equation, solve for y in terms of x:

4x - 5y = 25

- 5y = 25 - 4x

- y = 5 - 4x/5

y = - 5 + 4x/5  Now substitute this for y in equation 2x + 3y = 7

2x + 3(-5 + 4x/5) = 7

2x - 15 + 12x/5 = 7

10x/5 - 15 + 12x/5 = 7

22x/5 = 7 + 15

22x/5 = 22  Now multiply both sides by 5/22 to isolate :

x = 5

Now substitute this value (x = 5) into 4x - 5y = 25 to solve for y:

4(5) - 5y = 25

20 - 5y = 25

- 5y = 5

y = - 1

You can check that these are correct by substituting x = 5 and y = -1  into the above equations to make sure they check out.

Consider the first 2 terms of the sequence -6, 18,...
1. Determine the next 5 terms in the sequence if the sequence is arithmetic. Then write a function to
represent the arithmetic sequence.
2. Determine the next 5 terms in the sequence if the sequence is geometric. Then write a function to
represent the geometric sequence.

Answers

Answer:

arithmetic sequence: 24, 42, 66, 90, 114; y = 24x - 30

geometric sequence: -54, 162, -486, 1458, -4374; y = -6(-3)^(x - 1)

Step-by-step explanation:

Arithmetic sequence:

-6, 18, ...

18 - (-6) = 24

18 + 24 = 42

42 + 24 = 66

66 + 24 = 90

90 + 24 = 114

y = -6 + 24(x - 1)

y = -6 + 24x - 24

y = 24x - 30

Geometric sequence:

-6, 18, ...

18/(-6) = -3

18 * (-3) = -54

-54 * (-3) = 162

162 * (-3) = -486

-486 * (-3) = 1458

1458 * (-3) = -4374

y = -6(-3)^(x - 1)

The next 5 terms in the arithmetic sequence are 42, 66, 90, 114, 138.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.

Given that, the first 2 terms of the sequence -6, 18,....

Here, a=-6 and common difference = 18-(-6) =24

So, the next 5 terms in the arithmetic sequence are

18+24=42, 42+24=66, 66+24=90, 90+24=114, 114+24=138

42, 66, 90, 114, 138

The function is aₙ= -6+(n-1)24

= -6+24n-24

= 24n-30

The next 5 terms in the geometric sequence are

Here, a=-6 and common ratio = 18/(-6) =-3

Now, 18×(-3)=-54, -54×(-3)=162, 162×(-3)=-486, -486×(-3)=1458, 1458×(-3)=-4374

The function is [tex]a_n=-6(-3)^{n-1}[/tex]

Therefore, the next 5 terms in the arithmetic sequence are 42, 66, 90, 114, 138.

To learn more about an arithmetic sequence visit:

https://brainly.com/question/10396151.

#SPJ7

4x - 4 + 112 = 23x - 6

Answers

Answer:

x=6

Step-by-step explanation:

I hope it's helpful

Answer:

[tex]\huge\sf\underline\blue{Answer!}[/tex]

[tex] \sf \: 4x - 4 + 112 = 23x - 6 \\ \sf \: 4x + 108 + 6 = 23x \\ \sf \: 114 = 19x \\ \sf \: = x = 6[/tex]

Substitute the known value of x​ into y=4x+20​. Then solve for y entering the equation in simplest form

Answers

Answer:

[tex]y=24,[/tex] when [tex]x=1[/tex].

Step-by-step explanation:

Given: [tex]y=4x+20[/tex]

To find: Value of [tex]y[/tex], substituting the known value of [tex]x[/tex]

We have,

[tex]y=4x+20 ...(i)[/tex]

Putting [tex]x=1[/tex] in equation [tex](i)[/tex], we get

[tex]y=4(1)+20[/tex]

[tex]\implies y=4+20[/tex]

[tex]\implies y=24[/tex]  

Hence, the value of [tex]y[/tex] is [tex]24[/tex], when the value of [tex]x[/tex] is [tex]1[/tex].

On Sunday, Sheldon bought 4 1/2 kg of plant food. He used 1 2/3 kg on his strawberry plants and used 1/4 kg for his tomato plants.



How many kilograms of plant food did Sheldon have left?

Answers

Answer:

Sheldon had 2 7/12 kg left

4 1/4 - 1 2/3 = 3 1/4 - 2/3

= 3 3/12 - 8/12

= 2 15/12 - 8/12

= 2 7/12

Hope this helps! have an amazing day :)

qt + a = -1

when q = 3 and t = 4

Answers

Answer:

[tex]a=-13[/tex]

Step-by-step explanation:

We can use substitution to find the value of [tex]a[/tex]:

[tex]qt+a=-1[/tex]

[tex]3(4)+a=-1[/tex]

[tex]12+a=-1[/tex]

[tex]a=-13[/tex]

Hope this helps :)

Ashley charges 25.00 pesos for every page for
encoding. In addition, she charges 5 pesos per
page of printed output. How many page/s
did she encode
and print if she receives
amount of 960.00 pesos?
a. 10
c. 30
b. 20
d. 32​

Answers

first add 25 and 5 and divide 960 by 30

please.
What does f(10) = for the function f(x) = -2X + 5*
(1 Point)

Answers

the answer should be -5 bc you substitute the 10 for x

what is a linear function and a nonlinear fuction and how can you tell if the ordered pairs go to them

Answers

9514 1404 393

Answer:

linear: slope between any two points is the samenon-linear: slope between two points may differ

Step-by-step explanation:

A function is a linear function if the slope between any two ordered pairs is the same as it is between any other two. That is, the ordered pairs of a linear function will all fall on the same line when they are graphed.

__

A nonlinear function is one that is not linear. That is, its points do not all fall on the same line when graphed. Slopes between different pairs of points may differ.

_____

Detailed Example

If you are given two tables to compare, it is easiest if the x-values (inputs) are separated by a constant amount. For example, x = -2, 0, 2, 4. These all differ by 2. Then the y-values (outputs) of a linear function will all differ by the same quantity. For example, outputs 10, 15, 20, 25 for the above inputs would correspond to a linear function. This one is y = 2.5x +15.

If the output values for that same set of inputs do not have constant differences, then the function is nonlinear. For example, outputs 10, 15, 21, 27 have differences of 5, 6, 7, so correspond to a nonlinear function. This one happens to be y = (x^2 +22x +120)/8.

__

If the input values are not uniformly spaced, then you can check to see if the slope between one pair of points is the same as the slope for the next pair, and so on. The slope formula is ...

  m = (y2 -y1)/(x2 -x1)

For our first table, the first pair of points (-2, 10) and (0, 15) are on a line with slope ...

  m = (15 -10)/(0 -(-2)) = 5/2

Of course, when the calculations are repetitive, it is convenient to use a spreadsheet or calculator to do them. See the attachment for the calculations for this example.

quadratic equations
m^2-12=m

Answers

Step-by-step explanation:

m² -12 = m

m² = m + 12

m = [tex]\sqrt{m + 12\\}[/tex]

A pair of jeans is on sale for 25% off the original price. The sale price is $78. What is the original price

A.
$59

B.
$103

C.
$104

D.
$312

Answers

Answer: C (104)

Step by step explanation:

To find this answer, you would multiply all the answer choices by 25% and then add the answer to 78 and if the answer is that number, then its correct

104 times 25%=26

78+26=104

A town's population of children increased from 376 to 421 during the past year. Which equation shows how to find the percent increase? a p=421−376376 b p=421−376421 c p=376421−376

Answers

Answer:

a. p=421−376/376

Step-by-step explanation:

Computation for Which equation shows how to find the percent increase

Percentage increase=421-376/376*100

Percentage increase=45/376*100

Percentage increase=11.968%

Percentage increase=11.97% (Approximately)

Based on the above calculation The equation that will shows how to find the percent increase of the town's population of children from 376-421 during the past year will be:p=421-376/376

delta math help plz im stuck

Answers

Step-by-step explanation:

-70x^4 + 30x

= 10x(-7x^3 + 3)

ANSWER: 10x(-7x^3 + 3)

Evaluate the expression when a = 17 and c = 7.
²
a+c
a-2c

Answers

A+c
17+7=24
a-2c
17-2(7)=3

Answer:

Step-by-step explanation:

a + c = 17 + 7 = 24.

a - 2c = 17 - 2(7) = 3.

Mrs. Rawlings is preparing to celebrate National Cone Appreciation Day! She will paint 100 cones like the one shown to the right. Approximately how much paint will she need? (Use 3.14 for n.)

Answers

Answer:

Step-by-step explanation:

8+5+9.4= 22.4

100n+22.4

100(3.14)+22.4= 336.4

I gave you this to help you, if you know how much is in each paint cans, than divide that number with 336.4, and you'll get your answer.

Phillip wanted to leave a 15% tip. He thought to himself that 15% = 10% plus half of 10%. Which of the following equations will help Phillip estimate the tip on a $36.00 bill correctly?
A.
$3.60 + $3.60 = $7.20

B.
$3.60 + $0.36 = $3.96
C.
$1.80 + $1.80 = $3.60
D.
$3.60 + $1.80 = $5.40

Answers

3.00 that Ian’s kiwi wow

Answer: 36.00

Step-by-step explanation:

Divide 36.00 by 10 and You Simply Get 3.60

Hope this Helps :DD

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