Mathematics High School

a. Graph the system of equations.
b. What is the solution to the system of equations?
c. Verify the solution.

Answers

Answer 1

By graphing the system of equations, we can see that the solution of the system is (-5, -3).

How to solve the system of equations graphically?

Here we want to solve the following system of equations:

y = (2/5)*x - 1

2x - 3y + 1 = 0

To solve a system of equations graphically, we just need to graph both equations on the same coordinate axis, and then find the point where the two lines do intersect.

The graph of the system of equations can be seen on the image below.

Below you can see the graph of the system of equations, and you can see that the graphs intercept at the point (-5, -3)

To check if this is a solution, just replace these values in both equations and see if you get the same thing.

For the first one:

-3 = (2/5)*-5 - 1

-3 = -2 - 1

-3 = -3

And for the other line

2*-5 - 3*-3 + 1 = 0

-10 + 9 + 1 = 0

0 = 0

So the point is a solution for both equations.

Learn more about systems of equations:

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Related Questions

A recipe calls for 4 spoons of sugar for every 40g of flour if 240g of flour is used how much sugar would be needed

Answers

Answer:

24 spoons of sugar

Step-by-step explanation:

240/40= 6

6x4= 24

A scale model of a house is 1/10 the size of the actual house. One of the bedrooms in the house is 16 feet long. Which expression will help you find the length of the same bedroom in the model?

Answers

yeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeees

Complete the sentence.

Answers

Answer:

50 more

Step-by-step explanation:

Answer:

50 more than............

9. Which points are on the graph with the equation -6x + y = 6. Select all that apply.
A. (0,6)
B. (6,2)
C (-1,0)
D. (-2, 3)

Please answer

Answers

This would be your answer!

please help and quick cause im giving a lot of points

Answers

Answer: it might be C let me know if im wrong

Step-by-step explanation:

Each pair of polygons is similar. Find each missing side measure. two polygons 12 on top 5 on bottom second polygon 48 on top x on bottom

Answers

Answer:

[tex]x = 20[/tex]

Step-by-step explanation:

Given

First Polygon:

[tex]Top = 12[/tex]

[tex]Bottom =5[/tex]

Second Polygon

[tex]Top = 48[/tex]

[tex]Bottom =x[/tex]

Required

Find x

Since both polygons are similar, then:

[tex]Ratio = Top:Bottom[/tex]

For the first:

[tex]Ratio = 12:5[/tex]

For the second

[tex]Ratio = 48:x[/tex]

Equate both ratios

[tex]12:5 = 48:x[/tex]

Express as fraction

[tex]\frac{12}{5} = \frac{48}{x}[/tex]

Cross Multiply

[tex]12 * x = 48 * 5[/tex]

Solve for x

[tex]x = \frac{48 * 5}{12}[/tex]

[tex]x = \frac{240}{12}[/tex]

[tex]x = 20[/tex]

Determine if the two triangles are congruent.

Answers

Answer:

sas

Step-by-step explanation:

vertical angle stuffs

I believe the answer is Side angle side ;)

hi help again lol :)

Answers

Answer:

Please mark brainleiest

Step-by-step explanation:

Answer is B

Step-by-step explanation:

B if you divided all the y values by x you will get 0.9

The Milgram Family drove 440 miles on 20 gallons of gas. At this rate, how many miles can they drive on 25 gallons of gas? *

Answers

Answer:550

Step-by-step explanation: first you need to find the unit rate ( or how many miles per gallon) by dividing 440 by 20 which would get 22, then you would take that and multiply it by 25 to get 550. Hope this helps!

Classify the triangle 3 8 12

Answers

Scalene is the correct answer(Assuming you mean side lengths when you say 3, 8, 12.)Please let me know if I am wrong.

A cell phone costs $750 and loses 28% of its value each year. Write an exponential decay function to represent this situation.

1. f(x)= 750 • 0.72^x
2. f(x)= 0.72 • 750^x
3. f(x)= 750 • 0.28^x
4. f(x)= 0.28 • 750^x

Answers

Answer:

1. [tex]f(x) = 750\cdot 0.72^{x}[/tex]

Step-by-step explanation:

The cell phone experiments an exponential depreciation, which is defined by the following formula:

[tex]f(x) = C_{o}\cdot (1-r)^{x}[/tex], for [tex]0<r< 1[/tex]. (1)

Where:

[tex]C_{o}[/tex] - Initial cost, measured in monetary units.

[tex]r[/tex] - Depreciation rate, no unit.

[tex]x[/tex] - Time, measured in years.

[tex]f(x)[/tex] - Current value of the cell phone, measured in monetary units.

If we know that [tex]C_{o} = \$\,750[/tex] and [tex]r = 0.28[/tex], then the exponential decay function that represents the situation is:

[tex]f(x) = 750\cdot 0.72^{x}[/tex]

Which means that correct answer is 1.

A lumberjack needs to climb a tree to place a satellite tower in the tree top in the woods. The satellite signal needs to reach a horizontal distance of 3500 meters along the ground. If the angle of elevation from the farthest distance along the ground that the satellite reaches to the satellite in the tree is 18 degrees, what is the radius of the satellite signal? Round your answer to the nearest meter.

Radius of the satellite signal = meters

Answers

Answer: I use clickcaculators.com ;)

Step-by-step explanation:

Write a similarly comparing the three triangles in the diagram

Answers

Answer:

ΔBCE similar to ΔECD similar toΔBED

Step-by-step explanation:

ΔBCE similar to ΔECD similar toΔBED

Which shows the numbers ordered from least to greatest? 9.129, 9.37, 9.3, 9.219

Answers

Least to greatest: 9.129,9.219,9.3,9.37

Hope this helps.

Answer:

9.129 then , 9.219 then , 9.3 then , 9.37

Step-by-step explanation:

Please help me! 20 points!
Enter your answer and show all the steps that you use to solve this problem in the space provided.

simplify
(in attachment)

Answers

Answer:

12 1/4 or (Decimal: 12.25)

Step-by-step explanation:

(3 1/2) (3 1/2)

= 7/2 (3 1/2)

= 7/2 (7/2)

= 49/4

= 12 1/4

I hope I helped you!!

Step-by-step explanation:

When we multiplying, we find the sum of the exponents so

[tex]3 {}^{ \frac{1}{2} } \times 3 {}^{ \frac{1}{2} } \\ {3}^{ \frac{1}{2} + \frac{1}{2} } \\ = {3}^{ \frac{2}{2} } \\ = 3[/tex]

Please answer will give brainlyest! :D

Answers

Let's just ignore memorizing any formulas for perimeters of a rectangle and just remember this!!

The opposite sides are the same right? and there are 2 pairs? that's why we just need to find one side in each pair and multiply the sum of them by 2!

Here we already know what 2 of the sides are! Therefore we find the sum.

((5/4)x+3)+3x-2= (17/4)x+1

Then we need to multiply this sum by 2

((17/4)x+1)*2=(17/2)*x+2

*Note I left the result as a fraction not a mixed number because this is how you are suppose to write it in higher math but if your teacher wants you to convert it into a mixed number, then go ahead!

Hope this helped!!

Answer:

P = (8.5x + 2)

Step-by-step explanation:

Given

l = (5/4x + 3) and w = (3x - 2)

Find the perimeter

P = 2(l + w)P = 2(5/4x + 3 + 3x - 2) = 2(17/4x + 1) = 17/2x + 2 = 8.5x + 2

what is 3/7 as decimal

Answers

Answer:

0.428571429

Step-by-step explanation:

3
Gürkan bisikletiyle birinci gün 3.1 km, ikinci gun 4.5 km ve puncu
gun 4.25 km yol almıştır Gürkan üç günde toplam kaç km yol aims
tir? Tahmin ediniz Tahmininizi işlem yaparak kontrol ediniz.

Answers

tahmin etmek için yuvarlama yapmak gerekir 3,1=3 4,5=5 4,25=4,20 hepsini toplarsak 12,20

Write each ratio in three different ways based on the table. Party Mix Makes 8 Cups 3 cups pretzels 3 cups bagel chips 1 cup cheese crackers 1 cup peanuts

Answers

I need the table
To answer

Steve studies math for 7/8 of an hour and history for 2/3 of an hour. How many hours did he study?

Answers

Answer:

The answer is 1 13/24 hours or 1 hour, 32.5 minutes

Step-by-step explanation:

Find a common multiple of the denominators 3 and 8, which would be 24. Convert the fractions:

7/8 x 3/3 = 21/24.

2/3 x 8/8 = 16/24

Add the two numerators = 37/24 or 1 13/24.

1/24 of an hour is 2.5 minutes, so 13/24 is 32.5 minutes.

The answer is 1 13/24 hours or 1 hour, 32.5 minutes

math help me pls now now

Answers

Answer:

14/1

Step-by-step explanation:

16/3 –5/4

(16*4–5*3)/12

49/12

1 4/1

Answer: 4 1/12

Step-by-step explanation:

Hope this helps!

Given the expression below, identify its factors.

3a + 4b– 7c - 12

Answers

Answer:

i dont think you can solve this because

The expression is not factorable with rational numbers.

there are no like terms

which of the given values will make the inequality n-93>175 true?

n=82
n=105
n=268
n=300
n=312

Answers

Answer:

n = 300 and n = 312

Step-by-step explanation:

n - 93 > 175

n > 175 + 93

n > 268

Therefore only the two last answers are are possible n values (n has to be more than 268, not equal)

The two numbers 300 and 312 will make the inequality n-93>175 true which are correct option (D)300 and (E)312.

What is inequality?

Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.

Given inequality as:

n - 93 > 175

n > 175 + 93

n > 268

Therefore, n must be greater than 268 and not equal.

Hence, the two numbers 300 and 312 will make the inequality n-93>175 true.

Learn more about inequalities here:

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what's
[tex](4 \sqrt{2} ) {}^{2} [/tex]

Answers

Answer:

Step-by-step explanation:

(4√2)^2=4^2×(√2)^2

=16×2

=32

PLEASE HELPP!!!!

ive been stuck on this for 3 days i feel clueless

Answers

Answer:

Step-by-step explanation:

I think im right!

Hopefully it helps!

Answer:

the answer is letter C I'm sure

Three students in a painting class made green paint by mixing blue and yellow paint. The table below shows the comparison of ounces of blue paint to ounces of yellow paint that each student mixed. Whose green paint mixture has a yellow-to-blue unit rate of 6 ounces to 1 ounce?

Answers

Answer:

Clara

Step-by-step explanation:

Solve the system of linear equations by elimination x + 2y = 13 --x+y=5

Answers

Answer:

{x,y} = {1,6} Have a great day

Answer: welp its already answred

Step-by-step explanation:

Select the three inequalities that have n = 3 in the solution set
A. n + 5 < 9
B. 13 n < 1
C. 3n + 1 >7
D. 3n > 9.5
E. n-2<5

Answers

Answer:

Its just E

I'm sorry if I'm wrong

Answer: A, C, E

Solve for all the inequalitites.

n + 5 < 9

n < 9 - 5

n < 4

∴ n = 3 is a part of the solution set.

13n < 1

n < 1/13

∴ This definitely doesn't include n = 3.

3n + 1 > 7

3n > 6

n > 2

∴ n = 3 is part of the solution because n is larger than 2.

3n > 9.5

n > 9.5 ÷ 3

n > 3.16666666

∴ n = 3 is not part of the solution set.

n - 2 < 5

n < 5 + 2

n < 7

∴ n = 3 is a part of the solution set.

What is the solution of the system of equations? Enter the solution as an ordered pair (use decimal rounded to the nearest hundredth if necessary)

=32+54−2+8=−25

Answers

32+54=86-10=76-25= 51

A sum of money is divided between Mohan and Sohan in the ratio 5:7 . If Sohan's share is ₹665, find the total amount.
please help me fast.

Answers

Answer:

1140

Step-by-step explanation:

7u-> 665

1u->95

7+5=12

12u->1140

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a. Graph the system of equations. b. What is the solution to the system of equations? c. Verify the solution.

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a. Graph the system of equations.
b. What is the solution to the system of equations?
c. Verify the solution.