1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
posledela
3 years ago
11

Can someone please help me with 21-24 and explain/ show how you got the answer?

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
3 0
The solution (x,y) needs to work in both equations. With multiple choice you can do guess and test method. Otherwise you need to combine the two equations into one by substitution or elimination methods.

21. substitution works well here since one equation is y= x+3. you can easily substitute the (x+3) for y in the other equation.
2x + (x+3) = -6
3x + 3 = -6
3x = -9
x = -3
use this in either equation to find y.
y = (-3)+3
solution: (-3,0)

22. these both equal y so they equal each other.
4x - 1 = 3x +6
4x - 3x = 6 + 1
x = 7
use this in either equation to find y
y = 4(7) - 1
y = 28 - 1
y = 27
solution: (7,27)

23. one equation is y = 2x - 3. So substitute (2x -3) for y in the other equation.
4x = 2(2x - 3) + 6
4x = 4x - 6 + 6
4x = 4x
x = x
any solution will work, infinitely many.

24. infinitely many solutions means the two equations are the same equation. Like the previous one they didn't look the same but if you put them both in terms of y...
y= 2x-3
4x = 2y + 6
4x - 6 = 2y
(4x - 6)/2 = y
2x - 3 = y
same equation.

from the image, I can't see all options but A & C do not look like the same equations. It's got to be either B or D.

You might be interested in
It's to hard and I can't figure it out
maria [59]

Answer:

The triangles are the same though, what do i do?

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Solve the quadratic equation by factoring. 9x^2+24x+20=4
const2013 [10]

D. -4/3

Let's solve your equation step-by-step.

9x2+24x+20=4

Step 1: Subtract 4 from both sides.

9x2+24x+20−4=4−4

9x2+24x+16=0

Step 2: Factor left side of equation.

(3x+4)(3x+4)=0

Step 3: Set factors equal to 0.

3x+4=0 or 3x+4=0

x= −4 /3

Hope This helps

5 0
3 years ago
A metal bar weighs 7 Kg. 93% of the bar is Silver. How many Kgs of silver is there in the bar?​
Sindrei [870]
<h3>Solution:</h3>

<u>From the given data</u>

<u>93% of the bar is silver :</u>

\small\bold{ → 93\%    \: \: of \: \:   7kg}

\small \bold{→\frac{93}{100}  \times 7 }

\small \bold{→ \frac{651}{100}  }

\small \bold{→ 6.51 \: kg  }

<u>Therefore, 6.51 Kg of Silver is there in the bar.</u>

8 0
2 years ago
Read 2 more answers
A Turtle Crawled 0.06617 kilometers. How many millimeters is this?​
Paul [167]

Answer:

66170 mm

Step-by-step explanation:

0.06617 km * 1000 km/m * 1000 m/mm = 66170 mm

4 0
2 years ago
A jet plane can carry up to 200,000 liters of fuel. It used 130,000 liters of fuel during a flight. What percentage of the fuel
-Dominant- [34]

Given:

Capacity of jet plane = 200,000 liters of fuel

Fuel used during flight = 130,000 liters

To find:

The percentage of the fuel capacity it uses on this flight.

Solution:

According to the question, we need to find 130,000 is what percent of 200,000.

\text{Required percentage}=\dfrac{\text{Fuel used during flight}}{\text{Capacity of jet plane}}\times 100

\text{Required percentage}=\dfrac{130000}{200000}\times 100

\text{Required percentage}=65

Therefore, the jet plane uses 65 percent of fuel capacity during flight.

6 0
3 years ago
Other questions:
  • Identify an equation in point-slope form for the line perpendicular to
    15·1 answer
  • Which is the next number in this pattern. What is the rule ? 0,1,1.5,1.75
    12·2 answers
  • A carpenter wants to cut on a board 16 1/2 feet in length into 1 7/8 feet pieces. How many pieces can be cut from the board?
    14·1 answer
  • The scale of a drawing is 2 cm : 1 mm. Is the scale drawing larger or smaller than the actual object? Explain.
    6·2 answers
  • Find the surface are of the prism.<br> the surface area of the prism is ________ cm^2.
    7·1 answer
  • There are 101 students, each student will need 2/3 cup baking soda for an experiment. If Ms.Keough has 60 cups, will she have en
    5·1 answer
  • What's the part of speech of mince
    5·2 answers
  • Please. Help ASAP ASAP I will give brainlist
    10·2 answers
  • Which statement best describes how to determine whether f(x) = x² – X + 8 is an even function?
    8·1 answer
  • The graph of an absolute value function opens down and has a vertex of (0, -3).
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!